TSTP Solution File: SWV317-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n024.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 : 600s
% DateTime : Wed Jul 20 18:20:21 EDT 2022
% Result : Unsatisfiable 7.70s 1.49s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n024.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 : 600
% 0.13/0.34 % DateTime : Wed Jun 15 08:41:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 # No SInE strategy applied
% 0.19/0.49 # Auto-Mode selected heuristic G_E___200_C41_F1_AE_CS_SP_PI_S0Y
% 0.19/0.49 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.49 #
% 0.19/0.49 # Number of axioms: 2933 Number of unprocessed: 2933
% 0.19/0.49 # Tableaux proof search.
% 0.19/0.49 # APR header successfully linked.
% 0.19/0.49 # Hello from C++
% 0.19/0.50 # The folding up rule is enabled...
% 0.19/0.50 # Local unification is enabled...
% 0.19/0.50 # Any saturation attempts will use folding labels...
% 0.19/0.50 # 2933 beginning clauses after preprocessing and clausification
% 0.19/0.50 # Creating start rules for all 8 conjectures.
% 0.19/0.50 # There are 8 start rule candidates:
% 0.19/0.50 # Found 756 unit axioms.
% 0.19/0.50 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.50 # 8 start rule tableaux created.
% 0.19/0.50 # 2177 extension rule candidate clauses
% 0.19/0.50 # 756 unit axiom clauses
% 0.19/0.50
% 0.19/0.50 # Requested 8, 32 cores available to the main process.
% 7.70/1.49 # There were 1 total branch saturation attempts.
% 7.70/1.49 # There were 0 of these attempts blocked.
% 7.70/1.49 # There were 0 deferred branch saturation attempts.
% 7.70/1.49 # There were 0 free duplicated saturations.
% 7.70/1.49 # There were 1 total successful branch saturations.
% 7.70/1.49 # There were 0 successful branch saturations in interreduction.
% 7.70/1.49 # There were 0 successful branch saturations on the branch.
% 7.70/1.49 # There were 1 successful branch saturations after the branch.
% 7.70/1.49 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.70/1.49 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.70/1.49 # Begin clausification derivation
% 7.70/1.49
% 7.70/1.49 # End clausification derivation
% 7.70/1.49 # Begin listing active clauses obtained from FOF to CNF conversion
% 7.70/1.49 cnf(i_0_4315, plain, (c_1!=c_0)).
% 7.70/1.49 cnf(i_0_5574, plain, (c_UNIV!=c_emptyset)).
% 7.70/1.49 cnf(i_0_4195, plain, (c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft)).
% 7.70/1.49 cnf(i_0_4196, plain, (c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft)).
% 7.70/1.49 cnf(i_0_5104, plain, (c_Numeral_Obit_OB0!=c_Numeral_Obit_OB1)).
% 7.70/1.49 cnf(i_0_5105, plain, (c_Numeral_Obit_OB0!=c_Numeral_Obit_OB1)).
% 7.70/1.49 cnf(i_0_5677, plain, (c_Message_Oagent_OServer!=c_Message_Oagent_OSpy)).
% 7.70/1.49 cnf(i_0_5678, plain, (c_Message_Oagent_OServer!=c_Message_Oagent_OSpy)).
% 7.70/1.49 cnf(i_0_5848, plain, (c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption)).
% 7.70/1.49 cnf(i_0_5849, plain, (c_Public_Okeymode_OSignature!=c_Public_Okeymode_OEncryption)).
% 7.70/1.49 cnf(i_0_4319, plain, (c_IntDef_Oint(c_0)=c_0)).
% 7.70/1.49 cnf(i_0_4316, plain, (c_IntDef_Oint(c_1)=c_1)).
% 7.70/1.49 cnf(i_0_4331, plain, (c_IntDef_Onat(c_0)=c_0)).
% 7.70/1.49 cnf(i_0_5100, plain, (c_Numeral_Obin__succ(c_Numeral_OMin)=c_Numeral_OPls)).
% 7.70/1.49 cnf(i_0_5715, plain, (c_Message_Oparts(c_emptyset)=c_emptyset)).
% 7.70/1.49 cnf(i_0_5688, plain, (c_Message_OkeysFor(c_emptyset)=c_emptyset)).
% 7.70/1.49 cnf(i_0_5798, plain, (c_Message_Oanalz(c_emptyset)=c_emptyset)).
% 7.70/1.49 cnf(i_0_3166, plain, (class_Orderings_Oorder(tc_nat))).
% 7.70/1.49 cnf(i_0_3099, plain, (class_Orderings_Oorder(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3139, plain, (class_Finite__Set_Ofinite(tc_Product__Type_Ounit))).
% 7.70/1.49 cnf(i_0_3140, plain, (class_Finite__Set_Ofinite(tc_bool))).
% 7.70/1.49 cnf(i_0_3190, plain, (class_HOL_Ominus(tc_nat))).
% 7.70/1.49 cnf(i_0_3074, plain, (class_HOL_Ominus(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3143, plain, (class_HOL_Oone(tc_nat))).
% 7.70/1.49 cnf(i_0_3075, plain, (class_HOL_Oone(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3153, plain, (class_Ring__and__Field_Osemiring(tc_nat))).
% 7.70/1.49 cnf(i_0_3076, plain, (class_Ring__and__Field_Osemiring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3154, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))).
% 7.70/1.49 cnf(i_0_3077, plain, (class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3156, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3078, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3157, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 7.70/1.49 cnf(i_0_3079, plain, (class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3158, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_nat))).
% 7.70/1.49 cnf(i_0_3080, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3163, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3081, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3164, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3082, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3083, plain, (class_OrderedGroup_Oab__group__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3165, plain, (class_Ring__and__Field_Osemiring__0__cancel(tc_nat))).
% 7.70/1.49 cnf(i_0_3084, plain, (class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3085, plain, (class_Ring__and__Field_Oring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3145, plain, (class_HOL_Oplus(tc_nat))).
% 7.70/1.49 cnf(i_0_3086, plain, (class_HOL_Oplus(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3168, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat))).
% 7.70/1.49 cnf(i_0_3087, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3088, plain, (class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3148, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat))).
% 7.70/1.49 cnf(i_0_3089, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3159, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 7.70/1.49 cnf(i_0_3090, plain, (class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3160, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 7.70/1.49 cnf(i_0_3091, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3161, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 7.70/1.49 cnf(i_0_3092, plain, (class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3162, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 7.70/1.49 cnf(i_0_3093, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3167, plain, (class_Ring__and__Field_Osemiring__1__cancel(tc_nat))).
% 7.70/1.49 cnf(i_0_3094, plain, (class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3095, plain, (class_Ring__and__Field_Oring__1(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3169, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat))).
% 7.70/1.49 cnf(i_0_3096, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3146, plain, (class_HOL_Otimes(tc_nat))).
% 7.70/1.49 cnf(i_0_3097, plain, (class_HOL_Otimes(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3098, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3177, plain, (class_LOrder_Omeet__semilorder(tc_nat))).
% 7.70/1.49 cnf(i_0_3100, plain, (class_LOrder_Omeet__semilorder(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3186, plain, (class_LOrder_Ojoin__semilorder(tc_nat))).
% 7.70/1.49 cnf(i_0_3101, plain, (class_LOrder_Ojoin__semilorder(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3187, plain, (class_LOrder_Olorder(tc_nat))).
% 7.70/1.49 cnf(i_0_3102, plain, (class_LOrder_Olorder(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3188, plain, (class_Orderings_Olinorder(tc_nat))).
% 7.70/1.49 cnf(i_0_3103, plain, (class_Orderings_Olinorder(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3170, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3104, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3171, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3105, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3172, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 7.70/1.49 cnf(i_0_3106, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3173, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3107, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3144, plain, (class_HOL_Ozero(tc_nat))).
% 7.70/1.49 cnf(i_0_3108, plain, (class_HOL_Ozero(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3174, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))).
% 7.70/1.49 cnf(i_0_3109, plain, (class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3175, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))).
% 7.70/1.49 cnf(i_0_3110, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3176, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))).
% 7.70/1.49 cnf(i_0_3111, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3178, plain, (class_Ring__and__Field_Opordered__comm__semiring(tc_nat))).
% 7.70/1.49 cnf(i_0_3112, plain, (class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3179, plain, (class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat))).
% 7.70/1.49 cnf(i_0_3113, plain, (class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3180, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))).
% 7.70/1.49 cnf(i_0_3114, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3115, plain, (class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3116, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3117, plain, (class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3118, plain, (class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3155, plain, (class_Orderings_Oord(tc_nat))).
% 7.70/1.49 cnf(i_0_3119, plain, (class_Orderings_Oord(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3120, plain, (class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3121, plain, (class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3122, plain, (class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3123, plain, (class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3124, plain, (class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3125, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3181, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 7.70/1.49 cnf(i_0_3126, plain, (class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3127, plain, (class_Ring__and__Field_Oidom(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3128, plain, (class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3184, plain, (class_Numeral_Onumber(tc_nat))).
% 7.70/1.49 cnf(i_0_3129, plain, (class_Numeral_Onumber(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3149, plain, (class_OrderedGroup_Osemigroup__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3130, plain, (class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3131, plain, (class_Numeral_Onumber__ring(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3182, plain, (class_Divides_Odiv(tc_nat))).
% 7.70/1.49 cnf(i_0_3132, plain, (class_Divides_Odiv(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3147, plain, (class_Nat_Opower(tc_nat))).
% 7.70/1.49 cnf(i_0_3133, plain, (class_Nat_Opower(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3183, plain, (class_Power_Orecpower(tc_nat))).
% 7.70/1.49 cnf(i_0_3134, plain, (class_Power_Orecpower(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3185, plain, (class_Parity_Oeven__odd(tc_nat))).
% 7.70/1.49 cnf(i_0_3135, plain, (class_Parity_Oeven__odd(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3150, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 7.70/1.49 cnf(i_0_3136, plain, (class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3151, plain, (class_OrderedGroup_Osemigroup__mult(tc_nat))).
% 7.70/1.49 cnf(i_0_3137, plain, (class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3152, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 7.70/1.49 cnf(i_0_3138, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3189, plain, (class_Wellfounded__Recursion_Owellorder(tc_nat))).
% 7.70/1.49 cnf(i_0_5675, plain, (c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OServer)).
% 7.70/1.49 cnf(i_0_5680, plain, (c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OSpy)).
% 7.70/1.49 cnf(i_0_5676, plain, (c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OServer)).
% 7.70/1.49 cnf(i_0_5679, plain, (c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OSpy)).
% 7.70/1.49 cnf(i_0_5340, plain, (c_1!=c_0|~class_Ring__and__Field_Oaxclass__0__neq__1(X1))).
% 7.70/1.49 cnf(i_0_5443, plain, (c_1!=c_0|~class_Ring__and__Field_Oaxclass__0__neq__1(X1))).
% 7.70/1.49 cnf(i_0_4318, plain, (X1=c_0|c_IntDef_Oint(X1)!=c_0)).
% 7.70/1.49 cnf(i_0_3194, plain, (class_Orderings_Oorder(tc_set(X1)))).
% 7.70/1.49 cnf(i_0_3192, plain, (class_HOL_Ominus(tc_set(X1)))).
% 7.70/1.49 cnf(i_0_3193, plain, (class_Orderings_Oord(tc_set(X1)))).
% 7.70/1.49 cnf(i_0_3196, plain, (class_Nat_Opower(tc_set(X1)))).
% 7.70/1.49 cnf(i_0_4329, plain, (c_IntDef_Onat(c_IntDef_Oint(X1))=X1)).
% 7.70/1.49 cnf(i_0_5685, plain, (c_Message_OinvKey(c_Message_OinvKey(X1))=X1)).
% 7.70/1.49 cnf(i_0_4129, plain, (c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit)=c_0)).
% 7.70/1.49 cnf(i_0_4199, plain, (c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool)=c_0)).
% 7.70/1.49 cnf(i_0_4200, plain, (c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool)=c_0)).
% 7.70/1.49 cnf(i_0_5109, plain, (c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit)=c_0)).
% 7.70/1.49 cnf(i_0_5108, plain, (c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit)=c_0)).
% 7.70/1.49 cnf(i_0_4618, plain, (c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4619, plain, (c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4620, plain, (c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4621, plain, (c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4622, plain, (c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4623, plain, (c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4624, plain, (c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4625, plain, (c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4626, plain, (c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4627, plain, (c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4628, plain, (c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4629, plain, (c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4630, plain, (c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4631, plain, (c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4632, plain, (c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_4633, plain, (c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble)=c_0)).
% 7.70/1.49 cnf(i_0_5682, plain, (c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent)=c_0)).
% 7.70/1.49 cnf(i_0_5684, plain, (c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent)=c_0)).
% 7.70/1.49 cnf(i_0_5852, plain, (c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode)=c_0)).
% 7.70/1.49 cnf(i_0_5853, plain, (c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode)=c_0)).
% 7.70/1.49 cnf(i_0_5512, plain, (c_SetInterval_OlessThan(c_0,tc_nat)=c_emptyset)).
% 7.70/1.49 cnf(i_0_4811, plain, (c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat)=c_0)).
% 7.70/1.49 cnf(i_0_5079, plain, (c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin)=c_Numeral_OMin)).
% 7.70/1.49 cnf(i_0_5050, plain, (c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1)=c_Numeral_OMin)).
% 7.70/1.49 cnf(i_0_5051, plain, (c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0)=c_Numeral_OPls)).
% 7.70/1.49 cnf(i_0_5071, plain, (c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)=c_Numeral_OPls)).
% 7.70/1.49 cnf(i_0_5473, plain, (c_SetInterval_OatLeast(c_0,tc_nat)=c_UNIV)).
% 7.70/1.49 cnf(i_0_3071, plain, (c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat))).
% 7.70/1.49 cnf(i_0_3069, plain, (c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat))).
% 7.70/1.49 cnf(i_0_5235, plain, (c_Parity_Oeven(c_0,tc_nat))).
% 7.70/1.49 cnf(i_0_5248, plain, (c_Parity_Oeven(c_0,tc_IntDef_Oint))).
% 7.70/1.49 cnf(i_0_3205, plain, (class_Orderings_Oorder(X1)|~class_LOrder_Omeet__semilorder(X1))).
% 7.70/1.49 cnf(i_0_3199, plain, (class_Orderings_Oorder(X1)|~class_LOrder_Ojoin__semilorder(X1))).
% 7.70/1.49 cnf(i_0_3202, plain, (class_Orderings_Oorder(X1)|~class_LOrder_Olorder(X1))).
% 7.70/1.49 cnf(i_0_3398, plain, (class_Orderings_Oorder(X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.49 cnf(i_0_3370, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3385, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3377, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3348, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_4003, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3924, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3885, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3967, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3906, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3663, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3358, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3280, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3987, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3291, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3337, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3318, plain, (class_Orderings_Oorder(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3621, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3818, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3868, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3780, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_4100, plain, (class_Orderings_Oorder(X1)|~class_Wellfounded__Recursion_Owellorder(X1))).
% 7.70/1.49 cnf(i_0_3734, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3953, plain, (class_Orderings_Oorder(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3237, plain, (class_HOL_Ominus(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4024, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3437, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4039, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3473, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3427, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Oaxclass__abs__if(X1))).
% 7.70/1.49 cnf(i_0_3357, plain, (class_HOL_Ominus(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3274, plain, (class_HOL_Ominus(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3990, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3294, plain, (class_HOL_Ominus(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3331, plain, (class_HOL_Ominus(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3312, plain, (class_HOL_Ominus(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3644, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3811, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3614, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3786, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3210, plain, (class_HOL_Ominus(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3583, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3739, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3955, plain, (class_HOL_Ominus(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3426, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Oaxclass__0__neq__1(X1))).
% 7.70/1.49 cnf(i_0_3339, plain, (class_HOL_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 7.70/1.49 cnf(i_0_3259, plain, (class_HOL_Oone(X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 7.70/1.49 cnf(i_0_4075, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3522, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4085, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4037, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3537, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3469, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3873, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3593, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3746, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3219, plain, (class_HOL_Oone(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3412, plain, (class_HOL_Oone(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3560, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3688, plain, (class_HOL_Oone(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3486, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 7.70/1.49 cnf(i_0_4052, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.49 cnf(i_0_3490, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_4061, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4013, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3507, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3445, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4077, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3527, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4092, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4044, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3551, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3453, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_4002, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3929, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3877, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3972, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3916, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3674, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3998, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3625, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3833, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3842, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3601, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3754, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3233, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3402, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3568, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3696, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3939, plain, (class_Ring__and__Field_Osemiring(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3487, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_3499, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3433, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_3524, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_3542, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3476, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3963, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3912, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3651, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3838, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3596, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3749, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3234, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3403, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3563, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3691, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3958, plain, (class_Ring__and__Field_Ocomm__semiring(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_4058, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.49 cnf(i_0_3496, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_3238, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4065, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4025, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3510, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3448, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4080, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3515, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4093, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4029, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3552, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3456, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_4007, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3932, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3894, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3975, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3919, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3677, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3362, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3275, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3980, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3295, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3332, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3313, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3628, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3801, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3845, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3604, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3757, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3236, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3404, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3571, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3698, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3942, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3489, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_4060, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4018, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3506, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3444, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4076, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3526, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4091, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4043, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3550, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3479, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_4001, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3922, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3876, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3971, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3915, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3673, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3997, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3624, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3832, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3841, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3599, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3752, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3208, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3405, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3566, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3695, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3961, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3498, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3432, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_3523, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_3531, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3475, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3962, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3901, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3650, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3875, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3595, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3748, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3209, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3406, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3562, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3690, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3957, plain, (class_Ring__and__Field_Ocomm__semiring__0(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3252, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3244, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4062, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4016, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3503, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3439, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4089, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4042, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3541, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3460, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3391, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3381, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3352, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3927, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3889, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3909, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3666, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3366, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3268, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3996, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3285, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3324, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3305, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3633, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3831, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3850, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3608, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3761, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3211, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3411, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3575, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3701, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3946, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3243, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4070, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4015, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3502, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3438, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4088, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4041, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3540, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3458, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3390, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3379, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3350, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3926, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3887, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3908, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3665, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3364, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3266, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3995, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3300, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3322, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3303, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3630, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3830, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3847, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3606, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3759, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3212, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3413, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3573, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3699, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3944, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_4023, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3436, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4028, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3463, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3356, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3265, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3979, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3293, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3321, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3302, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3642, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3800, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3613, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3775, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3213, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3582, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3738, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3949, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_4017, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3504, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3441, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4090, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4040, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3544, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3478, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3928, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3890, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3913, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3669, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3994, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3623, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3822, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3840, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3598, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3751, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3214, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3414, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3565, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3694, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3960, plain, (class_Ring__and__Field_Osemiring__0__cancel(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3440, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4027, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3452, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3978, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3620, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3799, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3611, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3764, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3215, plain, (class_Ring__and__Field_Oring(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3578, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3736, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3938, plain, (class_Ring__and__Field_Oring(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_4049, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Osemiring(X1))).
% 7.70/1.49 cnf(i_0_3482, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3258, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 7.70/1.49 cnf(i_0_4055, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.49 cnf(i_0_3493, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_3254, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3251, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3242, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4068, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4020, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3500, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3434, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4073, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3518, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4097, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4032, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3535, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3462, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3374, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3389, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3383, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3354, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_4010, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3923, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3897, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3964, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3905, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3652, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3368, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3270, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3983, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3287, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3326, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3307, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3635, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3804, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3852, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3610, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3763, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3392, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Osemigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3206, plain, (class_HOL_Oplus(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3419, plain, (class_HOL_Oplus(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3246, plain, (class_HOL_Oplus(X1)|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3577, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3704, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3948, plain, (class_HOL_Oplus(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3442, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_3545, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3474, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3874, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3594, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3747, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3216, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3416, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3561, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3689, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3956, plain, (class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3451, plain, (class_Ring__and__Field_Ocomm__ring(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3589, plain, (class_Ring__and__Field_Ocomm__ring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3742, plain, (class_Ring__and__Field_Ocomm__ring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3217, plain, (class_Ring__and__Field_Ocomm__ring(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3556, plain, (class_Ring__and__Field_Ocomm__ring(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3714, plain, (class_Ring__and__Field_Ocomm__ring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3937, plain, (class_Ring__and__Field_Ocomm__ring(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_4071, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3513, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4084, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4035, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3549, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3467, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3871, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3591, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3744, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3220, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3418, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3558, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3686, plain, (class_Ring__and__Field_Oaxclass__0__neq__1(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3263, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 7.70/1.49 cnf(i_0_4074, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3520, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4098, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4036, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3536, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3468, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3872, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3592, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3745, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3221, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3407, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3559, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3687, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3519, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_3546, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3465, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3848, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3617, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3797, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3222, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3408, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3586, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3683, plain, (class_OrderedGroup_Ocomm__monoid__mult(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3521, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4083, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4034, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3548, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3466, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3870, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3590, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3743, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3223, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3409, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3557, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3685, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3530, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3464, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3837, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3616, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3796, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3224, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3410, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3585, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3682, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_4038, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3543, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3471, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3859, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3618, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3798, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3225, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3415, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3587, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3684, plain, (class_Ring__and__Field_Osemiring__1__cancel(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3470, plain, (class_Ring__and__Field_Oring__1(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3600, plain, (class_Ring__and__Field_Oring__1(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3753, plain, (class_Ring__and__Field_Oring__1(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3226, plain, (class_Ring__and__Field_Oring__1(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3567, plain, (class_Ring__and__Field_Oring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3725, plain, (class_Ring__and__Field_Oring__1(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3472, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3836, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3615, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3795, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3227, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3417, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3584, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3740, plain, (class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_4051, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Osemiring(X1))).
% 7.70/1.49 cnf(i_0_3485, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 7.70/1.49 cnf(i_0_4057, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.49 cnf(i_0_3495, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_4064, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4022, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3509, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3447, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_3341, plain, (class_HOL_Otimes(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 7.70/1.49 cnf(i_0_3262, plain, (class_HOL_Otimes(X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 7.70/1.49 cnf(i_0_4079, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3529, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4087, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4046, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3539, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3455, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_4006, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3931, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3893, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3974, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3918, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3676, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_4000, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3627, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3431, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oaxclass__no__zero__divisors(X1))).
% 7.70/1.49 cnf(i_0_3835, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3844, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3603, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3756, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3229, plain, (class_HOL_Otimes(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3422, plain, (class_HOL_Otimes(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3393, plain, (class_HOL_Otimes(X1)|~class_OrderedGroup_Osemigroup__mult(X1))).
% 7.70/1.49 cnf(i_0_3248, plain, (class_HOL_Otimes(X1)|~class_OrderedGroup_Oab__semigroup__mult(X1))).
% 7.70/1.49 cnf(i_0_3570, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3707, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3941, plain, (class_HOL_Otimes(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3588, plain, (class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3741, plain, (class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3228, plain, (class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3555, plain, (class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3703, plain, (class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3200, plain, (class_LOrder_Omeet__semilorder(X1)|~class_LOrder_Olorder(X1))).
% 7.70/1.49 cnf(i_0_3396, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.49 cnf(i_0_3346, plain, (class_LOrder_Omeet__semilorder(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3881, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3658, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3273, plain, (class_LOrder_Omeet__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3290, plain, (class_LOrder_Omeet__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3327, plain, (class_LOrder_Omeet__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3311, plain, (class_LOrder_Omeet__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3640, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3812, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3860, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3771, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_4101, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Wellfounded__Recursion_Owellorder(X1))).
% 7.70/1.49 cnf(i_0_3729, plain, (class_LOrder_Omeet__semilorder(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3203, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_LOrder_Olorder(X1))).
% 7.70/1.49 cnf(i_0_3395, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.49 cnf(i_0_3345, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3880, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3657, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3272, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3289, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3330, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3308, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3639, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3810, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3858, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3770, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_4102, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Wellfounded__Recursion_Owellorder(X1))).
% 7.70/1.49 cnf(i_0_3728, plain, (class_LOrder_Ojoin__semilorder(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3394, plain, (class_LOrder_Olorder(X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.49 cnf(i_0_3344, plain, (class_LOrder_Olorder(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3879, plain, (class_LOrder_Olorder(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3656, plain, (class_LOrder_Olorder(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3271, plain, (class_LOrder_Olorder(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3288, plain, (class_LOrder_Olorder(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3329, plain, (class_LOrder_Olorder(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3310, plain, (class_LOrder_Olorder(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3638, plain, (class_LOrder_Olorder(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3809, plain, (class_LOrder_Olorder(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3857, plain, (class_LOrder_Olorder(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3769, plain, (class_LOrder_Olorder(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_4103, plain, (class_LOrder_Olorder(X1)|~class_Wellfounded__Recursion_Owellorder(X1))).
% 7.70/1.49 cnf(i_0_3727, plain, (class_LOrder_Olorder(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3355, plain, (class_Orderings_Olinorder(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3878, plain, (class_Orderings_Olinorder(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3655, plain, (class_Orderings_Olinorder(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3808, plain, (class_Orderings_Olinorder(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3856, plain, (class_Orderings_Olinorder(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3768, plain, (class_Orderings_Olinorder(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_4104, plain, (class_Orderings_Olinorder(X1)|~class_Wellfounded__Recursion_Owellorder(X1))).
% 7.70/1.49 cnf(i_0_3716, plain, (class_Orderings_Olinorder(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3384, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3376, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3343, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_4012, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3934, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3884, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3966, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3902, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3661, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3369, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3279, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3986, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3299, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3336, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3317, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3649, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3817, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3867, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3779, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3733, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3952, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3375, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3342, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3883, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3660, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3361, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3278, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3992, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3298, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3335, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3316, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3646, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3814, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3862, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3773, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3732, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3347, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3882, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3659, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3360, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3277, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3991, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3297, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3334, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3315, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3645, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3813, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3861, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3772, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3731, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3899, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3654, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3807, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3855, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3767, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3715, plain, (class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3255, plain, (class_HOL_Ozero(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 7.70/1.49 cnf(i_0_4059, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.49 cnf(i_0_3497, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_3239, plain, (class_HOL_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4069, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4026, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3501, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3435, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_3425, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oaxclass__0__neq__1(X1))).
% 7.70/1.49 cnf(i_0_4072, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3514, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4094, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4033, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3532, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3457, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_4011, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3933, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3898, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3965, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3920, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3653, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3429, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oaxclass__abs__if(X1))).
% 7.70/1.49 cnf(i_0_3363, plain, (class_HOL_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3276, plain, (class_HOL_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3984, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3296, plain, (class_HOL_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3333, plain, (class_HOL_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3314, plain, (class_HOL_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3629, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3430, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oaxclass__no__zero__divisors(X1))).
% 7.70/1.49 cnf(i_0_3805, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3846, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3605, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3758, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3235, plain, (class_HOL_Ozero(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3401, plain, (class_HOL_Ozero(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3553, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 7.70/1.49 cnf(i_0_3572, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3706, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3943, plain, (class_HOL_Ozero(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3921, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3892, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3969, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3910, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3670, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3985, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3648, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3816, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3866, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3778, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3721, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3951, plain, (class_Ring__and__Field_Opordered__semiring(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3891, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3911, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3668, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3993, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3647, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3815, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3864, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3776, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3720, plain, (class_Ring__and__Field_Opordered__cancel__semiring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3667, plain, (class_Ring__and__Field_Oordered__semiring__strict(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3806, plain, (class_Ring__and__Field_Oordered__semiring__strict(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3854, plain, (class_Ring__and__Field_Oordered__semiring__strict(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3766, plain, (class_Ring__and__Field_Oordered__semiring__strict(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3713, plain, (class_Ring__and__Field_Oordered__semiring__strict(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3900, plain, (class_Ring__and__Field_Opordered__comm__semiring(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3672, plain, (class_Ring__and__Field_Opordered__comm__semiring(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3865, plain, (class_Ring__and__Field_Opordered__comm__semiring(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3777, plain, (class_Ring__and__Field_Opordered__comm__semiring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3711, plain, (class_Ring__and__Field_Opordered__comm__semiring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3950, plain, (class_Ring__and__Field_Opordered__comm__semiring(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3671, plain, (class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3863, plain, (class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3774, plain, (class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3710, plain, (class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3853, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3765, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3709, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3820, plain, (class_Ring__and__Field_Oaxclass__abs__if(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3782, plain, (class_Ring__and__Field_Oaxclass__abs__if(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3717, plain, (class_Ring__and__Field_Oaxclass__abs__if(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3264, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3989, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3283, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3320, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3301, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3631, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3823, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3791, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3730, plain, (class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3282, plain, (class_OrderedGroup_Olordered__ab__group(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3328, plain, (class_OrderedGroup_Olordered__ab__group(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3309, plain, (class_OrderedGroup_Olordered__ab__group(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3637, plain, (class_OrderedGroup_Olordered__ab__group(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3821, plain, (class_OrderedGroup_Olordered__ab__group(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3790, plain, (class_OrderedGroup_Olordered__ab__group(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3726, plain, (class_OrderedGroup_Olordered__ab__group(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3619, plain, (class_Ring__and__Field_Opordered__ring(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3825, plain, (class_Ring__and__Field_Opordered__ring(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3785, plain, (class_Ring__and__Field_Opordered__ring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3719, plain, (class_Ring__and__Field_Opordered__ring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3399, plain, (class_Orderings_Oord(X1)|~class_Orderings_Oorder(X1))).
% 7.70/1.49 cnf(i_0_3204, plain, (class_Orderings_Oord(X1)|~class_LOrder_Omeet__semilorder(X1))).
% 7.70/1.49 cnf(i_0_3198, plain, (class_Orderings_Oord(X1)|~class_LOrder_Ojoin__semilorder(X1))).
% 7.70/1.49 cnf(i_0_3201, plain, (class_Orderings_Oord(X1)|~class_LOrder_Olorder(X1))).
% 7.70/1.49 cnf(i_0_3397, plain, (class_Orderings_Oord(X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.49 cnf(i_0_3371, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3386, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3378, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3349, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_4004, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3925, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3886, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3968, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3907, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3664, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3428, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Oaxclass__abs__if(X1))).
% 7.70/1.49 cnf(i_0_3359, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3281, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3988, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3292, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3338, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3319, plain, (class_Orderings_Oord(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3622, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3819, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3869, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3781, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_4099, plain, (class_Orderings_Oord(X1)|~class_Wellfounded__Recursion_Owellorder(X1))).
% 7.70/1.49 cnf(i_0_3735, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3954, plain, (class_Orderings_Oord(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3636, plain, (class_OrderedGroup_Olordered__ab__group__abs(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3826, plain, (class_OrderedGroup_Olordered__ab__group__abs(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3787, plain, (class_OrderedGroup_Olordered__ab__group__abs(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3722, plain, (class_OrderedGroup_Olordered__ab__group__abs(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3641, plain, (class_OrderedGroup_Olordered__ab__group__meet(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3827, plain, (class_OrderedGroup_Olordered__ab__group__meet(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3788, plain, (class_OrderedGroup_Olordered__ab__group__meet(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3723, plain, (class_OrderedGroup_Olordered__ab__group__meet(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3643, plain, (class_OrderedGroup_Olordered__ab__group__join(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3828, plain, (class_OrderedGroup_Olordered__ab__group__join(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3789, plain, (class_OrderedGroup_Olordered__ab__group__join(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3724, plain, (class_OrderedGroup_Olordered__ab__group__join(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3824, plain, (class_Ring__and__Field_Olordered__ring(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3784, plain, (class_Ring__and__Field_Olordered__ring(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3718, plain, (class_Ring__and__Field_Olordered__ring(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3829, plain, (class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3612, plain, (class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3793, plain, (class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3581, plain, (class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3705, plain, (class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3783, plain, (class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3712, plain, (class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3792, plain, (class_Ring__and__Field_Oordered__semidom(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3737, plain, (class_Ring__and__Field_Oordered__semidom(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3794, plain, (class_Ring__and__Field_Oidom(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3580, plain, (class_Ring__and__Field_Oidom(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3692, plain, (class_Ring__and__Field_Oidom(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3708, plain, (class_Ring__and__Field_Oordered__idom(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3230, plain, (class_Numeral_Onumber(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_4048, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Osemiring(X1))).
% 7.70/1.49 cnf(i_0_3481, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3257, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 7.70/1.49 cnf(i_0_4054, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.49 cnf(i_0_3492, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_3253, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3250, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3241, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4067, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4019, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3512, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3450, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4082, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3517, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4096, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4031, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3534, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3461, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3373, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3388, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3382, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3353, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_4009, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.49 cnf(i_0_3936, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.49 cnf(i_0_3896, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3977, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3904, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3679, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.49 cnf(i_0_3367, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.49 cnf(i_0_3269, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.49 cnf(i_0_3982, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3286, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.49 cnf(i_0_3325, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.49 cnf(i_0_3306, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.49 cnf(i_0_3634, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.49 cnf(i_0_3803, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.49 cnf(i_0_3851, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.49 cnf(i_0_3609, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.49 cnf(i_0_3762, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.49 cnf(i_0_3207, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.49 cnf(i_0_3420, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_3245, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3576, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.49 cnf(i_0_3702, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.49 cnf(i_0_3947, plain, (class_OrderedGroup_Osemigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.49 cnf(i_0_3400, plain, (class_Nat_Opower(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.49 cnf(i_0_4047, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Osemiring(X1))).
% 7.70/1.49 cnf(i_0_3480, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 7.70/1.49 cnf(i_0_3256, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 7.70/1.49 cnf(i_0_4053, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.49 cnf(i_0_3491, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.49 cnf(i_0_3249, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3240, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.49 cnf(i_0_4066, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_4014, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.49 cnf(i_0_3511, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.49 cnf(i_0_3449, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.49 cnf(i_0_4081, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.49 cnf(i_0_3516, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.49 cnf(i_0_4095, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_4030, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.49 cnf(i_0_3533, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.49 cnf(i_0_3459, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.49 cnf(i_0_3372, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3387, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_3380, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 7.70/1.49 cnf(i_0_3351, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1))).
% 7.70/1.49 cnf(i_0_4008, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.50 cnf(i_0_3935, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.50 cnf(i_0_3895, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.50 cnf(i_0_3976, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.50 cnf(i_0_3903, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.50 cnf(i_0_3678, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.50 cnf(i_0_3365, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 7.70/1.50 cnf(i_0_3267, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_3981, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.50 cnf(i_0_3284, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_3323, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__meet(X1))).
% 7.70/1.50 cnf(i_0_3304, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Olordered__ab__group__join(X1))).
% 7.70/1.50 cnf(i_0_3632, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.50 cnf(i_0_3802, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.50 cnf(i_0_3849, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_3607, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.50 cnf(i_0_3760, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_3218, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_3421, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_3574, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_3700, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_3945, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.50 cnf(i_0_4050, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Osemiring(X1))).
% 7.70/1.50 cnf(i_0_3484, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 7.70/1.50 cnf(i_0_4056, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 7.70/1.50 cnf(i_0_3494, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.50 cnf(i_0_4063, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.50 cnf(i_0_4021, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.50 cnf(i_0_3508, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.50 cnf(i_0_3446, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.50 cnf(i_0_3340, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 7.70/1.50 cnf(i_0_3261, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 7.70/1.50 cnf(i_0_4078, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 7.70/1.50 cnf(i_0_3528, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.50 cnf(i_0_4086, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Osemiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_4045, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oring__1(X1))).
% 7.70/1.50 cnf(i_0_3538, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_3454, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_4005, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Opordered__semiring(X1))).
% 7.70/1.50 cnf(i_0_3930, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1))).
% 7.70/1.50 cnf(i_0_3888, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 7.70/1.50 cnf(i_0_3973, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.50 cnf(i_0_3917, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.50 cnf(i_0_3675, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.50 cnf(i_0_3999, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Opordered__ring(X1))).
% 7.70/1.50 cnf(i_0_3626, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Olordered__ring(X1))).
% 7.70/1.50 cnf(i_0_3834, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.50 cnf(i_0_3843, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_3602, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.50 cnf(i_0_3755, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_3231, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_3423, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_3247, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_OrderedGroup_Oab__semigroup__mult(X1))).
% 7.70/1.50 cnf(i_0_3569, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_3697, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_3940, plain, (class_OrderedGroup_Osemigroup__mult(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.50 cnf(i_0_3483, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 7.70/1.50 cnf(i_0_3488, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 7.70/1.50 cnf(i_0_3505, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__0__cancel(X1))).
% 7.70/1.50 cnf(i_0_3443, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ocomm__ring(X1))).
% 7.70/1.50 cnf(i_0_3260, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 7.70/1.50 cnf(i_0_3525, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 7.70/1.50 cnf(i_0_3547, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_3477, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_3970, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Opordered__comm__semiring(X1))).
% 7.70/1.50 cnf(i_0_3914, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Opordered__cancel__comm__semiring(X1))).
% 7.70/1.50 cnf(i_0_3662, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1))).
% 7.70/1.50 cnf(i_0_3839, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_3597, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Oidom(X1))).
% 7.70/1.50 cnf(i_0_3750, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_3232, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_3424, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_3564, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_3693, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_3959, plain, (class_OrderedGroup_Oab__semigroup__mult(X1)|~class_Ring__and__Field_Opordered__comm__ring(X1))).
% 7.70/1.50 cnf(i_0_3554, plain, (class_HOL_Oinverse(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 7.70/1.50 cnf(i_0_3579, plain, (class_HOL_Oinverse(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_3681, plain, (class_HOL_Oinverse(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_3680, plain, (class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_4696, plain, (c_List_Oset(c_List_Olist_ONil,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4663, plain, (c_List_Oremdups(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4459, plain, (c_List_Orev(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4109, plain, (c_Binomial_Obinomial(X1,c_0)=c_1)).
% 7.70/1.50 cnf(i_0_4730, plain, (c_List_Oupt(X1,c_0)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5596, plain, (c_Union(c_emptyset,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5594, plain, (c_Union(c_UNIV,X1)=c_UNIV)).
% 7.70/1.50 cnf(i_0_4661, plain, (c_List_Oremdups(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4698, plain, (c_List_Oset(c_List_Olist_ONil,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4583, plain, (c_List_Olists(c_UNIV,X1)=c_UNIV)).
% 7.70/1.50 cnf(i_0_5331, plain, (c_Relation_Odiag(c_emptyset,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5564, plain, (c_Inter(c_emptyset,X1)=c_UNIV)).
% 7.70/1.50 cnf(i_0_5557, plain, (c_Inter(c_UNIV,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5659, plain, (c_Transitive__Closure_Otrancl(c_emptyset,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4117, plain, (c_Datatype_Oo2s(c_Datatype_Ooption_ONone,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4223, plain, (c_Finite__Set_Ocard(c_emptyset,X1)=c_0)).
% 7.70/1.50 cnf(i_0_5570, plain, (c_Pow(c_UNIV,X1)=c_UNIV)).
% 7.70/1.50 cnf(i_0_4488, plain, (c_List_Oconcat(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4674, plain, (c_List_Orev(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4481, plain, (c_List_Obutlast(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4681, plain, (c_List_Orotate1(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4723, plain, (c_List_Otl(c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5075, plain, (c_Numeral_Obin__mult(c_Numeral_OPls,X1)=c_Numeral_OPls)).
% 7.70/1.50 cnf(i_0_4496, plain, (c_List_Odistinct(c_List_Olist_ONil,X1))).
% 7.70/1.50 cnf(i_0_3068, plain, (c_Wellfounded__Recursion_Owf(c_emptyset,X1))).
% 7.70/1.50 cnf(i_0_4651, plain, (c_List_Onull(c_List_Olist_ONil,X1))).
% 7.70/1.50 cnf(i_0_4240, plain, (c_NatArith_Oof__nat(X1,tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_5060, plain, (c_Numeral_Obin__add(X1,c_Numeral_OPls)=X1)).
% 7.70/1.50 cnf(i_0_5059, plain, (c_Numeral_Obin__add(c_Numeral_OPls,X1)=X1)).
% 7.70/1.50 cnf(i_0_5101, plain, (c_Numeral_Obin__succ(c_Numeral_OPls)=c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))).
% 7.70/1.50 cnf(i_0_4110, plain, (c_Binomial_Obinomial(X1,X1)=c_1)).
% 7.70/1.50 cnf(i_0_5816, plain, (c_Message_Oparts(c_Message_Oparts(X1))=c_Message_Oparts(X1))).
% 7.70/1.50 cnf(i_0_5814, plain, (c_Message_Oparts(c_Message_Oanalz(X1))=c_Message_Oparts(X1))).
% 7.70/1.50 cnf(i_0_5845, plain, (c_Message_OinvKey(c_Public_OshrK(X1))=c_Public_OshrK(X1))).
% 7.70/1.50 cnf(i_0_5807, plain, (c_Message_Oanalz(c_Message_Oparts(X1))=c_Message_Oparts(X1))).
% 7.70/1.50 cnf(i_0_5799, plain, (c_Message_Oanalz(c_Message_Oanalz(X1))=c_Message_Oanalz(X1))).
% 7.70/1.50 cnf(i_0_4320, plain, (X1=X2|c_IntDef_Oint(X1)!=c_IntDef_Oint(X2))).
% 7.70/1.50 cnf(i_0_5681, plain, (X1=X2|c_Message_Oagent_OFriend(X1)!=c_Message_Oagent_OFriend(X2))).
% 7.70/1.50 cnf(i_0_5686, plain, (X1=X2|c_Message_OinvKey(X1)!=c_Message_OinvKey(X2))).
% 7.70/1.50 cnf(i_0_5696, plain, (X1=X2|c_Message_Omsg_OAgent(X1)!=c_Message_Omsg_OAgent(X2))).
% 7.70/1.50 cnf(i_0_5700, plain, (X1=X2|c_Message_Omsg_OHash(X1)!=c_Message_Omsg_OHash(X2))).
% 7.70/1.50 cnf(i_0_5699, plain, (X1=X2|c_Message_Omsg_OKey(X1)!=c_Message_Omsg_OKey(X2))).
% 7.70/1.50 cnf(i_0_5698, plain, (X1=X2|c_Message_Omsg_ONonce(X1)!=c_Message_Omsg_ONonce(X2))).
% 7.70/1.50 cnf(i_0_5697, plain, (X1=X2|c_Message_Omsg_ONumber(X1)!=c_Message_Omsg_ONumber(X2))).
% 7.70/1.50 cnf(i_0_5872, plain, (X1=X2|c_Public_OshrK(X1)!=c_Public_OshrK(X2))).
% 7.70/1.50 cnf(i_0_3195, plain, (class_Finite__Set_Ofinite(tc_set(X1))|~class_Finite__Set_Ofinite(X1))).
% 7.70/1.50 cnf(i_0_3073, plain, (class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))|~class_Finite__Set_Ofinite(X1))).
% 7.70/1.50 cnf(i_0_5255, plain, (~c_Parity_Oeven(c_1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4336, plain, (c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)=c_IntDef_Oint(c_0))).
% 7.70/1.50 cnf(i_0_5525, plain, (c_uminus(c_emptyset,tc_set(X1))=c_UNIV)).
% 7.70/1.50 cnf(i_0_5521, plain, (c_uminus(c_UNIV,tc_set(X1))=c_emptyset)).
% 7.70/1.50 cnf(i_0_4543, plain, (c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1))=c_0)).
% 7.70/1.50 cnf(i_0_4121, plain, (c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(X1))=c_0)).
% 7.70/1.50 cnf(i_0_5683, plain, (c_Nat_Osize(c_Message_Oagent_OFriend(X1),tc_Message_Oagent)=c_0)).
% 7.70/1.50 cnf(i_0_5705, plain, (c_Nat_Osize(c_Message_Omsg_OAgent(X1),tc_Message_Omsg)=c_0)).
% 7.70/1.50 cnf(i_0_5708, plain, (c_Nat_Osize(c_Message_Omsg_OKey(X1),tc_Message_Omsg)=c_0)).
% 7.70/1.50 cnf(i_0_5707, plain, (c_Nat_Osize(c_Message_Omsg_ONonce(X1),tc_Message_Omsg)=c_0)).
% 7.70/1.50 cnf(i_0_5706, plain, (c_Nat_Osize(c_Message_Omsg_ONumber(X1),tc_Message_Omsg)=c_0)).
% 7.70/1.50 cnf(i_0_5165, plain, (c_uminus(c_0,X1)=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4749, plain, (c_NatArith_Oof__nat(c_0,X1)=c_0|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_5118, plain, (c_HOL_Oabs(c_0,X1)=c_0|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_4341, plain, (c_IntDef_Oof__int(c_0,X1)=c_0|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5171, plain, (c_uminus(c_0,X1)=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4757, plain, (c_NatArith_Oof__nat(c_0,X1)=c_0|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_4753, plain, (c_NatArith_Oof__nat(c_1,X1)=c_1|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_5114, plain, (c_Numeral_Onumber__of(c_Numeral_OPls,X1)=c_0|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5121, plain, (c_HOL_Oabs(c_0,X1)=c_0|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_5339, plain, (c_HOL_Oabs(c_1,X1)=c_1|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_4350, plain, (c_IntDef_Oof__int(c_0,X1)=c_0|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_4346, plain, (c_IntDef_Oof__int(c_1,X1)=c_1|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_5183, plain, (c_OrderedGroup_Onprt(c_0,X1)=c_0|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_5188, plain, (c_OrderedGroup_Opprt(c_0,X1)=c_0|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_5078, plain, (c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin)=c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0))).
% 7.70/1.50 cnf(i_0_5070, plain, (c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)=c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))).
% 7.70/1.50 cnf(i_0_4118, plain, (c_Datatype_Ooption_OSome(X1,X2)!=c_Datatype_Ooption_ONone)).
% 7.70/1.50 cnf(i_0_4119, plain, (c_Datatype_Ooption_OSome(X1,X2)!=c_Datatype_Ooption_ONone)).
% 7.70/1.50 cnf(i_0_4312, plain, (c_HOL_Oabs(c_IntDef_Oint(X1),tc_IntDef_Oint)=c_IntDef_Oint(X1))).
% 7.70/1.50 cnf(i_0_4695, plain, (X1=c_List_Olist_ONil|c_List_Oset(X1,X2)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4662, plain, (X1=c_List_Olist_ONil|c_List_Oremdups(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4458, plain, (X1=c_List_Olist_ONil|c_List_Orev(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4660, plain, (X1=c_List_Olist_ONil|c_List_Oremdups(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4697, plain, (X1=c_List_Olist_ONil|c_List_Oset(X1,X2)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4673, plain, (X1=c_List_Olist_ONil|c_List_Orev(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4680, plain, (X1=c_List_Olist_ONil|c_List_Orotate1(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4116, plain, (X1=c_Datatype_Ooption_ONone|c_Datatype_Oo2s(X1,X2)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5057, plain, (c_Numeral_Obin__add(c_Numeral_OMin,X1)=c_Numeral_Obin__add(X1,c_Numeral_OMin))).
% 7.70/1.50 cnf(i_0_5400, plain, (c_HOL_Oinverse(c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5380, plain, (c_HOL_Oinverse(c_1,X1)=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5080, plain, (~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~c_IntDef_Oiszero(c_1,X1))).
% 7.70/1.50 cnf(i_0_5096, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~c_IntDef_Oneg(c_0,X1))).
% 7.70/1.50 cnf(i_0_5097, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~c_IntDef_Oneg(c_1,X1))).
% 7.70/1.50 cnf(i_0_5862, plain, (c_Public_OshrK(X1)!=c_Public_OpublicKey(X2,X3))).
% 7.70/1.50 cnf(i_0_5874, plain, (c_Public_OpublicKey(X1,X2)!=c_Public_OshrK(X3))).
% 7.70/1.50 cnf(i_0_4338, plain, (~c_IntDef_Oneg(c_IntDef_Oint(X1),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3142, plain, (class_Nat_Opower(tc_fun(X1,X2)))).
% 7.70/1.50 cnf(i_0_5117, plain, (X2=c_0|c_HOL_Oabs(X2,X1)!=c_0|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_5170, plain, (X2=c_0|c_uminus(X2,X1)!=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4756, plain, (X2=c_0|c_NatArith_Oof__nat(X2,X1)!=c_0|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_5120, plain, (X2=c_0|c_HOL_Oabs(X2,X1)!=c_0|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_4349, plain, (X2=c_0|c_IntDef_Oof__int(X2,X1)!=c_0|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5164, plain, (c_0=X2|c_uminus(X2,X1)!=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4748, plain, (c_0=X2|c_NatArith_Oof__nat(X2,X1)!=c_0|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_4340, plain, (c_0=X2|c_IntDef_Oof__int(X2,X1)!=c_0|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5063, plain, (c_uminus(c_1,X1)=c_Numeral_Onumber__of(c_Numeral_OMin,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4961, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)=c_1)).
% 7.70/1.50 cnf(i_0_4812, plain, (c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)=c_1)).
% 7.70/1.50 cnf(i_0_4542, plain, (X1=c_List_Olist_ONil|c_Nat_Osize(X1,tc_List_Olist(X2))!=c_0)).
% 7.70/1.50 cnf(i_0_4289, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)=c_IntDef_Onat(c_1))).
% 7.70/1.50 cnf(i_0_5494, plain, (c_Finite__Set_Ocard(c_SetInterval_OlessThan(X1,tc_nat),tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_5616, plain, (c_Union(X1,X2)=c_emptyset|c_Main_Oempty__Union__conv__1(X1,X2)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4454, plain, (c_List_Oconcat(X1,X2)=c_List_Olist_ONil|c_Main_ONil__eq__concat__conv__1(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5563, plain, (c_Inter(X1,X2)=c_UNIV|c_Main_OInter__UNIV__conv__2__1(X1,X2)!=c_UNIV)).
% 7.70/1.50 cnf(i_0_5599, plain, (c_Union(X1,X2)=c_emptyset|c_Main_OUnion__empty__conv__1(X1,X2)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5560, plain, (c_Inter(X1,X2)=c_UNIV|c_Main_OInter__UNIV__conv__1__1(X1,X2)!=c_UNIV)).
% 7.70/1.50 cnf(i_0_4493, plain, (c_List_Oconcat(X1,X2)=c_List_Olist_ONil|c_Main_Oconcat__eq__Nil__conv__1(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4335, plain, (X2=c_0|c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint)!=c_IntDef_Oint(X2))).
% 7.70/1.50 cnf(i_0_4334, plain, (X1=c_0|c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint)!=c_IntDef_Oint(X2))).
% 7.70/1.50 cnf(i_0_5399, plain, (X2=c_0|c_HOL_Oinverse(X2,X1)!=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5379, plain, (X2=c_1|c_HOL_Oinverse(X2,X1)!=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4487, plain, (c_Nat_Osize(c_List_Ochar_OChar(X1,X2),tc_List_Ochar)=c_0)).
% 7.70/1.50 cnf(i_0_5734, plain, (c_Nat_Osize(c_Event_Oevent_OGets(X1,X2),tc_Event_Oevent)=c_0)).
% 7.70/1.50 cnf(i_0_5735, plain, (c_Nat_Osize(c_Event_Oevent_ONotes(X1,X2),tc_Event_Oevent)=c_0)).
% 7.70/1.50 cnf(i_0_4512, plain, (c_List_Odistinct(c_List_Oupt(X1,X2),tc_nat))).
% 7.70/1.50 cnf(i_0_4332, plain, (c_IntDef_Onat(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint))=c_0)).
% 7.70/1.50 cnf(i_0_4810, plain, (c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))=c_Numeral_Onumber__of(X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5098, plain, (c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB0))=c_Numeral_OBit(X1,c_Numeral_Obit_OB1))).
% 7.70/1.50 cnf(i_0_2989, plain, (c_List_Odistinct(c_List_Oremdups(X1,X2),X2))).
% 7.70/1.50 cnf(i_0_5593, plain, (c_Union(c_Pow(X1,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_4126, plain, (c_Datatype_Othe(c_Datatype_Ooption_OSome(X1,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_4677, plain, (c_List_Orev(c_List_Orev(X1,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_4352, plain, (c_IntDef_Oof__int(c_IntDef_Oint(X2),X1)=c_NatArith_Oof__nat(X2,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_5115, plain, (c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1)=c_1|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4113, plain, (X1=c_Datatype_Ooption_ONone|c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X1,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_4114, plain, (X1=c_Datatype_Ooption_ONone|c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X1,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_5724, plain, (c_Event_Oevent_ONotes(X3,X4)!=c_Event_Oevent_OGets(X1,X2))).
% 7.70/1.50 cnf(i_0_5725, plain, (c_Event_Oevent_ONotes(X1,X2)!=c_Event_Oevent_OGets(X3,X4))).
% 7.70/1.50 cnf(i_0_5088, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_3191, plain, (class_Finite__Set_Ofinite(tc_prod(X1,X2))|~class_Finite__Set_Ofinite(X2)|~class_Finite__Set_Ofinite(X1))).
% 7.70/1.50 cnf(i_0_3197, plain, (class_Finite__Set_Ofinite(tc_sum(X1,X2))|~class_Finite__Set_Ofinite(X2)|~class_Finite__Set_Ofinite(X1))).
% 7.70/1.50 cnf(i_0_3141, plain, (class_Finite__Set_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite(X2)|~class_Finite__Set_Ofinite(X1))).
% 7.70/1.50 cnf(i_0_5099, plain, (c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB1))=c_Numeral_OBit(c_Numeral_Obin__succ(X1),c_Numeral_Obit_OB0))).
% 7.70/1.50 cnf(i_0_4122, plain, (c_Nat_Osize(c_Datatype_Ooption_OSome(X1,X2),tc_Datatype_Ooption(X2))=c_0)).
% 7.70/1.50 cnf(i_0_4486, plain, (X2=X4|c_List_Ochar_OChar(X1,X2)!=c_List_Ochar_OChar(X3,X4))).
% 7.70/1.50 cnf(i_0_5702, plain, (X2=X4|c_Message_Omsg_OMPair(X1,X2)!=c_Message_Omsg_OMPair(X3,X4))).
% 7.70/1.50 cnf(i_0_5704, plain, (X2=X4|c_Message_Omsg_OCrypt(X1,X2)!=c_Message_Omsg_OCrypt(X3,X4))).
% 7.70/1.50 cnf(i_0_5730, plain, (X2=X4|c_Event_Oevent_OGets(X1,X2)!=c_Event_Oevent_OGets(X3,X4))).
% 7.70/1.50 cnf(i_0_5732, plain, (X2=X4|c_Event_Oevent_ONotes(X1,X2)!=c_Event_Oevent_ONotes(X3,X4))).
% 7.70/1.50 cnf(i_0_5865, plain, (X2=X4|c_Public_OpublicKey(X1,X2)!=c_Public_OpublicKey(X3,X4))).
% 7.70/1.50 cnf(i_0_4120, plain, (X1=X3|c_Datatype_Ooption_OSome(X1,X2)!=c_Datatype_Ooption_OSome(X3,X2))).
% 7.70/1.50 cnf(i_0_4675, plain, (X1=X3|c_List_Orev(X1,X2)!=c_List_Orev(X3,X2))).
% 7.70/1.50 cnf(i_0_4485, plain, (X1=X3|c_List_Ochar_OChar(X1,X2)!=c_List_Ochar_OChar(X3,X4))).
% 7.70/1.50 cnf(i_0_5701, plain, (X1=X3|c_Message_Omsg_OMPair(X1,X2)!=c_Message_Omsg_OMPair(X3,X4))).
% 7.70/1.50 cnf(i_0_5703, plain, (X1=X3|c_Message_Omsg_OCrypt(X1,X2)!=c_Message_Omsg_OCrypt(X3,X4))).
% 7.70/1.50 cnf(i_0_5729, plain, (X1=X3|c_Event_Oevent_OGets(X1,X2)!=c_Event_Oevent_OGets(X3,X4))).
% 7.70/1.50 cnf(i_0_5731, plain, (X1=X3|c_Event_Oevent_ONotes(X1,X2)!=c_Event_Oevent_ONotes(X3,X4))).
% 7.70/1.50 cnf(i_0_5864, plain, (X1=X3|c_Public_OpublicKey(X1,X2)!=c_Public_OpublicKey(X3,X4))).
% 7.70/1.50 cnf(i_0_5077, plain, (c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OMin)=c_Numeral_OBit(X1,c_Numeral_Obit_OB0))).
% 7.70/1.50 cnf(i_0_5161, plain, (c_uminus(c_uminus(X2,X1),X1)=X2|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_5857, plain, (c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,X1))!=c_Public_OshrK(X2))).
% 7.70/1.50 cnf(i_0_4978, plain, (c_plus(c_0,c_0,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_5718, plain, (c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_4171, plain, (c_Divides_Oop_Advd(c_0,c_0,tc_nat))).
% 7.70/1.50 cnf(i_0_4424, plain, (c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4988, plain, (c_lessequals(c_0,c_0,tc_nat))).
% 7.70/1.50 cnf(i_0_4994, plain, (c_less(c_0,c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_4872, plain, (X2=c_uminus(c_1,X1)|c_uminus(X2,X1)!=c_1|~class_HOL_Oone(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4873, plain, (c_uminus(c_uminus(c_1,X1),X1)=c_1|~class_HOL_Oone(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4255, plain, (c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)=c_1|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5081, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4457, plain, (c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5001, plain, (c_times(X1,c_0,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4434, plain, (c_Divides_Oop_Amod(X1,c_1,tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_4156, plain, (c_div(X1,c_0,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4999, plain, (c_Orderings_Omin(X1,c_0,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_5289, plain, (c_Nat_Opower(X1,c_0,tc_nat)=c_1)).
% 7.70/1.50 cnf(i_0_4409, plain, (c_Nat_Opower(X1,c_0,tc_IntDef_Oint)=c_1)).
% 7.70/1.50 cnf(i_0_5043, plain, (c_times(c_0,X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4175, plain, (c_Divides_Oop_Amod(c_0,X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4439, plain, (c_Divides_Oop_Amod(c_0,X1,tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_4158, plain, (c_div(c_0,X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4419, plain, (c_div(c_0,X1,tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_4998, plain, (c_Orderings_Omin(c_0,X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4979, plain, (c_minus(c_0,X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_5582, plain, (c_union(c_emptyset,c_emptyset,X1)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4474, plain, (c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_2968, plain, (c_Divides_Oop_Advd(X1,c_0,tc_nat))).
% 7.70/1.50 cnf(i_0_2984, plain, (c_Divides_Oop_Advd(X1,c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_2985, plain, (c_Divides_Oop_Advd(c_1,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3009, plain, (c_lessequals(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4157, plain, (c_Divides_Oop_Amod(X1,c_0,tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_4377, plain, (c_Divides_Oop_Amod(X1,c_0,tc_IntDef_Oint)=X1)).
% 7.70/1.50 cnf(i_0_4971, plain, (c_plus(X1,c_0,tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_4411, plain, (c_div(X1,c_1,tc_IntDef_Oint)=X1)).
% 7.70/1.50 cnf(i_0_4996, plain, (c_Orderings_Omax(X1,c_0,tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_5047, plain, (c_minus(X1,c_0,tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_5045, plain, (c_plus(c_0,X1,tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_4995, plain, (c_Orderings_Omax(c_0,X1,tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_4190, plain, (c_Equiv__Relations_Oquotient(c_emptyset,X1,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4186, plain, (c_Divides_Oop_Amod(X1,X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4436, plain, (c_Divides_Oop_Amod(X1,X1,tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_4986, plain, (c_minus(X1,X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_5578, plain, (c_union(X1,c_UNIV,X2)=c_UNIV)).
% 7.70/1.50 cnf(i_0_4513, plain, (c_List_Odrop(X1,c_List_Olist_ONil,X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4664, plain, (c_List_Oremove1(X1,c_List_Olist_ONil,X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4686, plain, (c_List_Orotate(X1,c_List_Olist_ONil,X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4707, plain, (c_List_Osublist(X1,c_emptyset,X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4560, plain, (c_List_Olexn(X1,c_0,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5315, plain, (c_Relation_ODomain(c_emptyset,X1,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5313, plain, (c_Relation_ODomain(c_Relation_OId,X1,X1)=c_UNIV)).
% 7.70/1.50 cnf(i_0_5325, plain, (c_Relation_ORange(c_emptyset,X1,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5323, plain, (c_Relation_ORange(c_Relation_OId,X1,X1)=c_UNIV)).
% 7.70/1.50 cnf(i_0_5326, plain, (c_Relation_Oconverse(c_Relation_OId,X1,X1)=c_Relation_OId)).
% 7.70/1.50 cnf(i_0_4192, plain, (c_Equiv__Relations_Oquotient(c_emptyset,X1,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5577, plain, (c_union(c_UNIV,X1,X2)=c_UNIV)).
% 7.70/1.50 cnf(i_0_4708, plain, (c_List_Osublist(c_List_Olist_ONil,X1,X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4667, plain, (c_List_Oreplicate(c_0,X1,X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4573, plain, (c_List_Olist__inter(c_List_Olist_ONil,X1,X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4174, plain, (c_Divides_Oop_Advd(X1,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4427, plain, (c_Divides_Oop_Advd(X1,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3043, plain, (c_in(X1,c_UNIV,X2))).
% 7.70/1.50 cnf(i_0_5034, plain, (X1=c_0|c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5890, negated_conjecture, (c_Public_OshrK(v_A)=v_KAB|c_in(v_A,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_4290, plain, (c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1)=c_Numeral_Onumber__of(c_Numeral_OMin,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5172, plain, (X2=X3|c_uminus(X2,X1)!=c_uminus(X3,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_5480, plain, (X2=X3|c_SetInterval_OatMost(X2,X1)!=c_SetInterval_OatMost(X3,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5513, plain, (X2=X3|c_SetInterval_OlessThan(X2,X1)!=c_SetInterval_OlessThan(X3,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_4758, plain, (X2=X3|c_NatArith_Oof__nat(X2,X1)!=c_NatArith_Oof__nat(X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_4351, plain, (X2=X3|c_IntDef_Oof__int(X2,X1)!=c_IntDef_Oof__int(X3,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5474, plain, (X2=X3|c_SetInterval_OatLeast(X2,X1)!=c_SetInterval_OatLeast(X3,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5502, plain, (X2=X3|c_SetInterval_OgreaterThan(X2,X1)!=c_SetInterval_OgreaterThan(X3,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5859, plain, (c_Public_OshrK(X1)!=c_Message_OinvKey(c_Public_OpublicKey(X2,X3)))).
% 7.70/1.50 cnf(i_0_5873, plain, (c_Message_OinvKey(c_Public_OpublicKey(X1,X2))!=c_Public_OshrK(X3))).
% 7.70/1.50 cnf(i_0_4692, plain, (c_append(X1,c_List_Olist_ONil,X2)=X1)).
% 7.70/1.50 cnf(i_0_4690, plain, (c_append(c_List_Olist_ONil,X1,X2)=X1)).
% 7.70/1.50 cnf(i_0_4127, plain, (c_Datatype_Ounit_Ounit__case(X1,c_Product__Type_OUnity,X2)=X1)).
% 7.70/1.50 cnf(i_0_4128, plain, (c_Datatype_Ounit_Ounit__rec(X1,c_Product__Type_OUnity,X2)=X1)).
% 7.70/1.50 cnf(i_0_5584, plain, (c_union(X1,c_emptyset,X2)=X1)).
% 7.70/1.50 cnf(i_0_4479, plain, (c_append(X1,c_List_Olist_ONil,X2)=X1)).
% 7.70/1.50 cnf(i_0_5583, plain, (c_union(c_emptyset,X1,X2)=X1)).
% 7.70/1.50 cnf(i_0_4477, plain, (c_append(c_List_Olist_ONil,X1,X2)=X1)).
% 7.70/1.50 cnf(i_0_4514, plain, (c_List_Odrop(c_0,X1,X2)=X1)).
% 7.70/1.50 cnf(i_0_4699, plain, (c_List_Oset(c_List_Oremdups(X1,X2),X2)=c_List_Oset(X1,X2))).
% 7.70/1.50 cnf(i_0_4702, plain, (c_List_Oset(c_List_Orev(X1,X2),X2)=c_List_Oset(X1,X2))).
% 7.70/1.50 cnf(i_0_4703, plain, (c_List_Oset(c_List_Orotate1(X1,X2),X2)=c_List_Oset(X1,X2))).
% 7.70/1.50 cnf(i_0_4286, plain, (X1=c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint))|c_IntDef_Oint(X1)!=c_Numeral_Onumber__of(X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5883, negated_conjecture, (c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)))).
% 7.70/1.50 cnf(i_0_4322, plain, (c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4416, plain, (X1=c_0|c_div(X1,X1,tc_IntDef_Oint)=c_1)).
% 7.70/1.50 cnf(i_0_5382, plain, (c_HOL_Oinverse(c_HOL_Oinverse(X2,X1),X1)=X2|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5579, plain, (c_union(X1,X1,X2)=X1)).
% 7.70/1.50 cnf(i_0_5237, plain, (c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4970, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4968, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_5854, plain, (c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(X1,c_List_Olist_ONil)))=c_emptyset)).
% 7.70/1.50 cnf(i_0_2973, plain, (c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5645, plain, (c_lessequals(c_emptyset,c_emptyset,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4369, plain, (c_lessequals(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5868, plain, (c_in(c_Public_OshrK(X1),c_Message_OsymKeys,tc_nat))).
% 7.70/1.50 cnf(i_0_4363, plain, (c_IntDef_Oof__int(c_NatArith_Oof__nat(X2,tc_IntDef_Oint),X1)=c_NatArith_Oof__nat(X2,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_4302, plain, (c_in(c_0,c_IntDef_OInts,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_4308, plain, (c_in(c_0,c_IntDef_ONats,X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_4303, plain, (c_in(c_1,c_IntDef_OInts,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_4309, plain, (c_in(c_1,c_IntDef_ONats,X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_5456, plain, (c_lessequals(c_0,c_1,X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_5444, plain, (c_less(c_0,c_1,X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_5532, plain, (c_minus(X1,c_UNIV,tc_set(X2))=c_emptyset)).
% 7.70/1.50 cnf(i_0_5613, plain, (c_minus(c_emptyset,X1,tc_set(X2))=c_emptyset)).
% 7.70/1.50 cnf(i_0_5643, plain, (c_lessequals(X1,c_UNIV,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_3046, plain, (c_lessequals(c_emptyset,X1,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5612, plain, (c_uminus(c_uminus(X1,tc_set(X2)),tc_set(X2))=X1)).
% 7.70/1.50 cnf(i_0_5535, plain, (c_minus(X1,c_emptyset,tc_set(X2))=X1)).
% 7.70/1.50 cnf(i_0_5418, plain, (c_times(X2,c_0,X1)=c_0|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5414, plain, (c_times(c_0,X2,X1)=c_0|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5437, plain, (c_times(X2,c_0,X1)=c_0|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.50 cnf(i_0_5302, plain, (c_Nat_Opower(X2,c_0,X1)=c_1|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5436, plain, (c_times(c_0,X2,X1)=c_0|~class_Ring__and__Field_Osemiring__0__cancel(X1))).
% 7.70/1.50 cnf(i_0_5298, plain, (c_Nat_Opower(c_1,X2,X1)=c_1|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5533, plain, (c_minus(X1,X1,tc_set(X2))=c_emptyset)).
% 7.70/1.50 cnf(i_0_3057, plain, (c_lessequals(X1,X1,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5479, plain, (c_SetInterval_OatMost(c_0,tc_nat)=c_insert(c_0,c_emptyset,tc_nat))).
% 7.70/1.50 cnf(i_0_5381, plain, (X2=X3|c_HOL_Oinverse(X2,X1)!=c_HOL_Oinverse(X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5415, plain, (c_times(X2,c_1,X1)=X2|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5419, plain, (c_times(c_1,X2,X1)=X2|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5163, plain, (c_times(X2,c_1,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 7.70/1.50 cnf(i_0_5130, plain, (c_plus(X2,c_0,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 7.70/1.50 cnf(i_0_5143, plain, (c_minus(X2,c_0,X1)=X2|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_5299, plain, (c_Nat_Opower(X2,c_1,X1)=X2|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5341, plain, (c_divide(X2,c_1,X1)=X2|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5162, plain, (c_times(c_1,X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 7.70/1.50 cnf(i_0_5141, plain, (c_plus(c_0,X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 7.70/1.50 cnf(i_0_5126, plain, (c_HOL_Oabs(c_uminus(X2,X1),X1)=c_HOL_Oabs(X2,X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_5123, plain, (c_HOL_Oabs(c_HOL_Oabs(X2,X1),X1)=c_HOL_Oabs(X2,X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_5150, plain, (c_minus(X2,X2,X1)=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_3013, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1))).
% 7.70/1.50 cnf(i_0_4325, plain, (c_IntDef_Oint(c_IntDef_Onat(X1))=c_0|c_lessequals(c_0,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5212, plain, (c_Orderings_Omax(X2,X2,X1)=X2|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5207, plain, (c_Orderings_Omin(X2,X2,X1)=X2|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_4443, plain, (c_LOrder_Ojoin(X2,X2,X1)=X2|~class_LOrder_Ojoin__semilorder(X1))).
% 7.70/1.50 cnf(i_0_4444, plain, (c_LOrder_Omeet(X2,X2,X1)=X2|~class_LOrder_Omeet__semilorder(X1))).
% 7.70/1.50 cnf(i_0_4507, plain, (c_List_Odistinct(c_List_Orev(X1,X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_4495, plain, (c_List_Odistinct(c_List_Orotate1(X1,X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_5748, plain, (c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5790, plain, (c_in(c_Message_Omsg_ONumber(X1),c_Message_Osynth(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5526, plain, (X1=X3|c_uminus(X1,tc_set(X2))!=c_uminus(X3,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5089, plain, (~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1))).
% 7.70/1.50 cnf(i_0_5453, plain, (c_divide(c_1,c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5369, plain, (c_divide(c_0,c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5441, plain, (c_divide(c_1,c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_4553, plain, (c_Nat_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2))=c_Nat_Osize(X1,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_4554, plain, (c_Nat_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2))=c_Nat_Osize(X1,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_5460, plain, (c_uminus(c_SetInterval_OatMost(X2,X1),tc_set(X1))=c_SetInterval_OgreaterThan(X2,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5462, plain, (c_uminus(c_SetInterval_OlessThan(X2,X1),tc_set(X1))=c_SetInterval_OatLeast(X2,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5459, plain, (c_uminus(c_SetInterval_OatLeast(X2,X1),tc_set(X1))=c_SetInterval_OlessThan(X2,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5461, plain, (c_uminus(c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))=c_SetInterval_OatMost(X2,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5350, plain, (c_divide(X2,c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5349, plain, (c_divide(c_0,X2,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_3007, plain, (c_Wellfounded__Recursion_Owf(c_List_Olenlex(X1,X2),tc_List_Olist(X2))|~c_Wellfounded__Recursion_Owf(X1,X2))).
% 7.70/1.50 cnf(i_0_3008, plain, (c_Wellfounded__Recursion_Owf(c_List_Olex(X1,X2),tc_List_Olist(X2))|~c_Wellfounded__Recursion_Owf(X1,X2))).
% 7.70/1.50 cnf(i_0_4777, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_0|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4778, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_0|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4793, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_0|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4794, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_0|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5236, plain, (c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5867, plain, (c_Public_OpublicKey(X1,X2)!=c_Message_OinvKey(c_Public_OpublicKey(X3,X4)))).
% 7.70/1.50 cnf(i_0_5860, plain, (c_Message_OinvKey(c_Public_OpublicKey(X1,X2))!=c_Public_OpublicKey(X3,X4))).
% 7.70/1.50 cnf(i_0_5571, plain, (c_Pow(c_emptyset,X1)=c_insert(c_emptyset,c_emptyset,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4584, plain, (c_List_Olistset(c_List_Olist_ONil,X1)=c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X1)))).
% 7.70/1.50 cnf(i_0_5372, plain, (X2=c_0|c_divide(X2,X2,X1)=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5354, plain, (X2=c_0|c_divide(X2,X2,X1)=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5068, plain, (c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(X1,c_Numeral_Obit_OB0))=c_Numeral_OBit(c_Numeral_Obin__mult(c_Numeral_OMin,X1),c_Numeral_Obit_OB0))).
% 7.70/1.50 cnf(i_0_5076, plain, (c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),c_Numeral_OMin)=c_Numeral_OBit(c_Numeral_Obin__add(X1,c_Numeral_OMin),c_Numeral_Obit_OB1))).
% 7.70/1.50 cnf(i_0_4295, plain, (c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5095, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1))).
% 7.70/1.50 cnf(i_0_4435, plain, (c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_4224, plain, (c_Finite__Set_Ocard(X1,X2)=c_0|c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5142, plain, (c_minus(c_0,X2,X1)=c_uminus(X2,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4718, plain, (c_List_Osublist(X1,c_SetInterval_OlessThan(c_0,tc_nat),X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5828, plain, (c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg)=c_Message_Oparts(c_Message_Osynth(X1)))).
% 7.70/1.50 cnf(i_0_5810, plain, (c_union(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_Message_Omsg)=c_Message_Oanalz(c_Message_Osynth(X1)))).
% 7.70/1.50 cnf(i_0_5072, plain, (c_Numeral_Obin__mult(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2)=c_Numeral_OBit(c_Numeral_Obin__mult(X1,X2),c_Numeral_Obit_OB0))).
% 7.70/1.50 cnf(i_0_4797, plain, (c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat))=c_Numeral_Onumber__of(X1,tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4719, plain, (c_List_Osublist(c_List_Olist_ONil,c_SetInterval_OlessThan(X1,tc_nat),X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4729, plain, (X2=c_0|c_lessequals(X2,X1,tc_nat)|c_List_Oupt(X1,X2)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4106, plain, (c_Binomial_Obinomial(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat))=X1)).
% 7.70/1.50 cnf(i_0_5871, plain, (c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4506, plain, (c_List_Odistinct(X1,X2)|~c_List_Odistinct(c_List_Orev(X1,X2),X2))).
% 7.70/1.50 cnf(i_0_4494, plain, (c_List_Odistinct(X1,X2)|~c_List_Odistinct(c_List_Orotate1(X1,X2),X2))).
% 7.70/1.50 cnf(i_0_4531, plain, (c_append(c_List_Orev(c_List_Olist_ONil,X2),X1,X2)=X1)).
% 7.70/1.50 cnf(i_0_5717, plain, (~c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_5886, negated_conjecture, (~c_in(v_A,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_5035, plain, (~c_less(c_0,c_0,tc_nat))).
% 7.70/1.50 cnf(i_0_3035, plain, (c_in(c_SetInterval_OatMost(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)))).
% 7.70/1.50 cnf(i_0_3040, plain, (c_in(c_SetInterval_OlessThan(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)))).
% 7.70/1.50 cnf(i_0_5036, plain, (~c_less(X1,c_0,tc_nat))).
% 7.70/1.50 cnf(i_0_5314, plain, (c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2)=X1)).
% 7.70/1.50 cnf(i_0_5324, plain, (c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2)=X1)).
% 7.70/1.50 cnf(i_0_4105, plain, (c_Binomial_Obinomial(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat))=c_0)).
% 7.70/1.50 cnf(i_0_5009, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)=c_times(c_1,c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_5039, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)=c_times(c_1,c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_5604, plain, (X1=c_emptyset|c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2))).
% 7.70/1.50 cnf(i_0_4987, plain, (X1=c_0|~c_lessequals(X1,c_0,tc_nat))).
% 7.70/1.50 cnf(i_0_4993, plain, (X1=c_0|~c_less(X1,c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_4170, plain, (X1=c_0|~c_Divides_Oop_Advd(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4423, plain, (X1=c_0|~c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5156, plain, (c_LOrder_Ojoin(c_0,c_uminus(c_0,X1),X1)=c_0|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_5158, plain, (c_LOrder_Omeet(c_0,c_uminus(c_0,X1),X1)=c_0|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_4760, plain, (c_lessequals(c_NatArith_Oof__nat(c_0,X1),c_0,X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_5125, plain, (c_lessequals(c_HOL_Oabs(c_0,X1),c_0,X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_4796, plain, (c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat))=c_0|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3011, plain, (~c_less(X1,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5617, plain, (~c_in(X1,c_emptyset,X2))).
% 7.70/1.50 cnf(i_0_4654, plain, (~c_List_Oop_Amem(X1,c_List_Olist_ONil,X2))).
% 7.70/1.50 cnf(i_0_5889, negated_conjecture, (c_Public_OshrK(v_A)!=v_KAB|~c_in(v_A,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_5062, plain, (c_uminus(c_Numeral_Onumber__of(X2,X1),X1)=c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4361, plain, (c_IntDef_Oof__int(c_uminus(X2,tc_IntDef_Oint),X1)=c_uminus(c_IntDef_Oof__int(X2,X1),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_3006, plain, (c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_2990, plain, (c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_4412, plain, (c_div(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint)=c_uminus(X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4977, plain, (X2=c_0|c_plus(X1,X2,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4976, plain, (X1=c_0|c_plus(X1,X2,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4330, plain, (c_IntDef_Onat(X1)=c_0|~c_lessequals(X1,c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5618, plain, (c_insert(X1,X2,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4568, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5632, plain, (c_insert(X1,X2,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4569, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4254, plain, (~c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)))).
% 7.70/1.50 cnf(i_0_4750, plain, (c_lessequals(c_0,c_NatArith_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 7.70/1.50 cnf(i_0_5122, plain, (c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_5195, plain, (c_lessequals(c_0,c_OrderedGroup_Opprt(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_4364, plain, (c_in(c_NatArith_Oof__nat(X2,X1),c_IntDef_ONats,X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_5186, plain, (c_lessequals(c_OrderedGroup_Onprt(X2,X1),c_0,X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_5844, plain, (c_Message_OinvKey(X1)=X1|~c_in(X1,c_Message_OsymKeys,tc_nat))).
% 7.70/1.50 cnf(i_0_5010, plain, (X2=c_0|X1=c_0|c_times(X1,X2,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4634, plain, (c_List_Olist_OCons(X2,X1,X3)!=X1)).
% 7.70/1.50 cnf(i_0_4732, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)).
% 7.70/1.50 cnf(i_0_4456, plain, (X2=c_List_Olist_ONil|c_append(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4189, plain, (X1=c_emptyset|c_Equiv__Relations_Oquotient(X1,X2,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4455, plain, (X1=c_List_Olist_ONil|c_append(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5581, plain, (X2=c_emptyset|c_union(X1,X2,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4473, plain, (X2=c_List_Olist_ONil|c_append(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4685, plain, (X2=c_List_Olist_ONil|c_List_Orotate(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4191, plain, (X1=c_emptyset|c_Equiv__Relations_Oquotient(X1,X2,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5580, plain, (X1=c_emptyset|c_union(X1,X2,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4472, plain, (X1=c_List_Olist_ONil|c_append(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5192, plain, (c_plus(X2,c_uminus(X2,X1),X1)=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_5116, plain, (c_plus(c_uminus(X2,X1),X2,X1)=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_5197, plain, (X2=c_0|c_less(c_0,c_HOL_Oabs(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_5714, plain, (~c_in(X1,c_Message_Oparts(c_emptyset),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5438, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_1,c_0,X1))).
% 7.70/1.50 cnf(i_0_5439, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_less(c_1,c_0,X1))).
% 7.70/1.50 cnf(i_0_4689, plain, (X2=c_List_Olist_ONil|c_append(X2,X1,X3)!=X1)).
% 7.70/1.50 cnf(i_0_4691, plain, (X2=c_List_Olist_ONil|c_append(X1,X2,X3)!=X1)).
% 7.70/1.50 cnf(i_0_4478, plain, (X2=c_List_Olist_ONil|c_append(X1,X2,X3)!=X1)).
% 7.70/1.50 cnf(i_0_4476, plain, (X1=c_List_Olist_ONil|c_append(X1,X2,X3)!=X2)).
% 7.70/1.50 cnf(i_0_5445, plain, (X2=c_0|c_times(X2,c_HOL_Oinverse(X2,X1),X1)=c_1|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5373, plain, (X2=c_0|c_times(c_HOL_Oinverse(X2,X1),X2,X1)=c_1|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4323, plain, (~c_less(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4548, plain, (X1=c_List_Olist_ONil|c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat))).
% 7.70/1.50 cnf(i_0_4776, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(X1,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4792, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(X1,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4321, plain, (X1=c_0|~c_lessequals(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4324, plain, (c_IntDef_Oint(c_IntDef_Onat(X1))=X1|~c_lessequals(c_0,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4115, plain, (c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2)=c_insert(X1,c_emptyset,X2))).
% 7.70/1.50 cnf(i_0_5636, plain, (~c_less(X1,c_emptyset,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5884, negated_conjecture, (~c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5214, plain, (~class_Orderings_Oorder(X1)|~c_less(X2,X2,X1))).
% 7.70/1.50 cnf(i_0_4814, plain, (c_NatArith_Oof__nat(c_Numeral_Onumber__of(X2,tc_nat),X1)=c_Numeral_Onumber__of(X2,X1)|c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5391, plain, (c_HOL_Oinverse(c_uminus(X2,X1),X1)=c_uminus(c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5338, plain, (c_HOL_Oinverse(c_HOL_Oabs(X2,X1),X1)=c_HOL_Oabs(c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5328, plain, (c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2)=c_Relation_Odiag(X1,X2))).
% 7.70/1.50 cnf(i_0_5869, plain, (c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(X1,c_List_Olist_ONil),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_2982, plain, (c_lessequals(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5224, plain, (c_Parity_Oeven(X1,tc_nat)|c_Parity_Oeven(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5644, plain, (X1=c_emptyset|~c_lessequals(X1,c_emptyset,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5144, plain, (X2=X3|c_minus(X2,X3,X1)!=c_0|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4558, plain, (c_Nat_Osize(c_List_Oupt(X1,X2),tc_List_Olist(tc_nat))=c_minus(X2,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5257, plain, (c_Numeral_Onumber__of(X2,tc_nat)=c_0|c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1)=c_0|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5433, plain, (X3=c_0|X2=c_0|c_times(X2,X3,X1)!=c_0|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 7.70/1.50 cnf(i_0_5870, plain, (c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5417, plain, (X3=c_1|X2=c_0|c_times(X3,X2,X1)!=X2|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5413, plain, (X3=c_1|X2=c_0|c_times(X2,X3,X1)!=X2|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5420, plain, (X3=c_0|X2=c_1|c_times(X2,X3,X1)!=X3|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5416, plain, (X3=c_1|X2=c_0|c_times(X2,X3,X1)!=X2|~class_Ring__and__Field_Oordered__idom(X1))).
% 7.70/1.50 cnf(i_0_5840, plain, (~c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5370, plain, (c_divide(X2,c_0,X1)!=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5352, plain, (c_divide(X2,c_0,X1)!=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5055, plain, (c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OBit(X2,c_Numeral_Obit_OB0))=c_Numeral_OBit(c_Numeral_Obin__add(X1,X2),c_Numeral_Obit_OB1))).
% 7.70/1.50 cnf(i_0_4731, plain, (c_List_Oupt(X2,X1)=c_List_Olist_ONil|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5112, plain, (c_times(X2,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)=c_uminus(X2,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5111, plain, (c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1)=c_uminus(X2,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5452, plain, (X2=c_0|c_divide(c_1,X2,X1)!=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5440, plain, (X2=c_0|c_divide(c_1,X2,X1)!=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_4874, plain, (X3=c_uminus(c_Numeral_Onumber__of(X2,X1),X1)|c_Numeral_Onumber__of(X2,X1)!=c_uminus(X3,X1)|~class_OrderedGroup_Oab__group__add(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4909, plain, (c_uminus(c_Numeral_Onumber__of(X3,X1),X1)=X2|c_Numeral_Onumber__of(X3,X1)!=c_uminus(X2,X1)|~class_OrderedGroup_Oab__group__add(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4813, plain, (c_NatArith_Oof__nat(c_Numeral_Onumber__of(X2,tc_nat),X1)=c_0|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4287, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oint(X1)!=c_Numeral_Onumber__of(X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5615, plain, (c_Union(X1,X2)=c_emptyset|c_in(c_Main_Oempty__Union__conv__1(X1,X2),X1,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5562, plain, (c_Inter(X1,X2)=c_UNIV|c_in(c_Main_OInter__UNIV__conv__2__1(X1,X2),X1,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5598, plain, (c_Union(X1,X2)=c_emptyset|c_in(c_Main_OUnion__empty__conv__1(X1,X2),X1,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5559, plain, (c_Inter(X1,X2)=c_UNIV|c_in(c_Main_OInter__UNIV__conv__1__1(X1,X2),X1,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5292, plain, (X2=c_0|c_Nat_Opower(X2,X3,X1)!=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5006, plain, (c_times(X1,c_0,tc_nat)=c_times(X2,c_0,tc_nat))).
% 7.70/1.50 cnf(i_0_5004, plain, (c_times(c_0,X1,tc_nat)=c_times(c_0,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5054, plain, (c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),c_Numeral_OBit(X2,X3))=c_Numeral_OBit(c_Numeral_Obin__add(X1,X2),X3))).
% 7.70/1.50 cnf(i_0_5442, plain, (X2=X3|c_divide(X2,X3,X1)!=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5371, plain, (X2=X3|c_divide(X2,X3,X1)!=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5351, plain, (X2=X3|c_divide(X2,X3,X1)!=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5353, plain, (X2=X3|c_divide(X2,X3,X1)!=c_1|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5348, plain, (X3=c_0|X2=c_0|c_divide(X2,X3,X1)!=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5256, plain, (c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1)=c_1|c_Numeral_Onumber__of(X2,tc_nat)!=c_0|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_4222, plain, (c_Finite__Set_Ocard(c_emptyset,X1)=c_0|~c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5189, plain, (c_OrderedGroup_Opprt(X2,X1)=c_0|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5184, plain, (c_OrderedGroup_Onprt(X2,X1)=c_0|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5185, plain, (c_OrderedGroup_Onprt(X2,X1)=X2|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5128, plain, (c_HOL_Oabs(X2,X1)=X2|~class_OrderedGroup_Olordered__ab__group__abs(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5190, plain, (c_OrderedGroup_Opprt(X2,X1)=X2|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5721, plain, (c_Event_Oevent_OGets(X1,X2)!=c_Event_Oevent_OSays(X3,X4,X5))).
% 7.70/1.50 cnf(i_0_5723, plain, (c_Event_Oevent_ONotes(X1,X2)!=c_Event_Oevent_OSays(X3,X4,X5))).
% 7.70/1.50 cnf(i_0_5720, plain, (c_Event_Oevent_OSays(X1,X2,X3)!=c_Event_Oevent_OGets(X4,X5))).
% 7.70/1.50 cnf(i_0_5722, plain, (c_Event_Oevent_OSays(X1,X2,X3)!=c_Event_Oevent_ONotes(X4,X5))).
% 7.70/1.50 cnf(i_0_4538, plain, (X1=c_List_Olist_ONil|c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2))).
% 7.70/1.50 cnf(i_0_4527, plain, (X1=c_List_Olist_ONil|c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2))).
% 7.70/1.50 cnf(i_0_4525, plain, (X1=c_List_Olist_ONil|c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otl(X1,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_5056, plain, (c_Numeral_OBit(c_Numeral_Obin__add(X1,c_Numeral_Obin__succ(X2)),c_Numeral_Obit_OB0)=c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OBit(X2,c_Numeral_Obit_OB1)))).
% 7.70/1.50 cnf(i_0_5335, plain, (c_Nat_Opower(X1,c_0,tc_set(tc_prod(X2,X2)))=c_Relation_OId)).
% 7.70/1.50 cnf(i_0_5334, plain, (c_Nat_Opower(X1,c_1,tc_set(tc_prod(X2,X2)))=X1)).
% 7.70/1.50 cnf(i_0_5249, plain, (c_Nat_Opower(c_uminus(c_1,X1),X2,X1)=c_1|~class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5251, plain, (c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1)=c_1|~class_Numeral_Onumber__ring(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4867, plain, (c_divide(X2,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)=c_uminus(X2,X1)|~class_Numeral_Onumber__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5377, plain, (c_times(X2,c_0,X1)=c_times(X3,c_0,X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5375, plain, (c_times(c_0,X2,X1)=c_times(c_0,X3,X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4962, plain, (X1=X2|c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)!=c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4992, plain, (c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5467, plain, (c_SetInterval_OatLeastAtMost(X2,X2,X1)=c_insert(X2,c_emptyset,X1)|~class_Orderings_Oorder(X1))).
% 7.70/1.50 cnf(i_0_4176, plain, (c_Divides_Oop_Amod(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_2969, plain, (c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4159, plain, (c_div(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_5069, plain, (c_Numeral_OBit(c_Numeral_Obin__add(c_Numeral_Obin__mult(c_Numeral_OMin,X1),c_Numeral_OMin),c_Numeral_Obit_OB1)=c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(X1,c_Numeral_Obit_OB1)))).
% 7.70/1.50 cnf(i_0_5250, plain, (c_Nat_Opower(c_uminus(c_1,X1),X2,X1)=c_uminus(c_1,X1)|c_Parity_Oeven(X2,tc_nat)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5252, plain, (c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1)=c_Numeral_Onumber__of(c_Numeral_OMin,X1)|c_Parity_Oeven(X2,tc_nat)|~class_Numeral_Onumber__ring(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5866, plain, (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oused(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4221, plain, (X1=c_emptyset|c_Finite__Set_Ocard(X1,X2)!=c_0|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_4482, plain, (c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4108, plain, (c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X1)=c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4533, plain, (c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_5605, plain, (c_Set_Ocontents(c_insert(X1,c_emptyset,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_4294, plain, (X1=c_0|~c_less(c_HOL_Oabs(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5129, plain, (c_HOL_Oabs(X2,X1)=c_uminus(X2,X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4550, plain, (c_List_Oremdups(X1,X2)=X1|c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2))!=c_Nat_Osize(X1,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_5733, plain, (c_Nat_Osize(c_Event_Oevent_OSays(X1,X2,X3),tc_Event_Oevent)=c_0)).
% 7.70/1.50 cnf(i_0_5758, plain, (c_Message_Omsg_OAgent(X1)!=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3))).
% 7.70/1.50 cnf(i_0_5762, plain, (c_Message_Omsg_OHash(X1)!=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3))).
% 7.70/1.50 cnf(i_0_5761, plain, (c_Message_Omsg_OKey(X1)!=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3))).
% 7.70/1.50 cnf(i_0_5759, plain, (c_Message_Omsg_ONonce(X1)!=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3))).
% 7.70/1.50 cnf(i_0_5760, plain, (c_Message_Omsg_ONumber(X1)!=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3))).
% 7.70/1.50 cnf(i_0_5767, plain, (c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OAgent(X3))).
% 7.70/1.50 cnf(i_0_5769, plain, (c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OHash(X3))).
% 7.70/1.50 cnf(i_0_5770, plain, (c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OKey(X3))).
% 7.70/1.50 cnf(i_0_5771, plain, (c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_ONonce(X3))).
% 7.70/1.50 cnf(i_0_5772, plain, (c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_ONumber(X3))).
% 7.70/1.50 cnf(i_0_5614, plain, (X1=c_emptyset|c_Union(X2,X3)!=c_emptyset|~c_in(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5561, plain, (X1=c_UNIV|c_Inter(X2,X3)!=c_UNIV|~c_in(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5597, plain, (X1=c_emptyset|c_Union(X2,X3)!=c_emptyset|~c_in(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5558, plain, (X1=c_UNIV|c_Inter(X2,X3)!=c_UNIV|~c_in(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5345, plain, (c_divide(X2,c_0,X1)=c_divide(X3,c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5343, plain, (c_divide(c_0,X2,X1)=c_divide(c_0,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4875, plain, (c_uminus(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)=c_Numeral_Onumber__of(X2,X1)|~class_OrderedGroup_Oab__group__add(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4910, plain, (c_uminus(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)=c_Numeral_Onumber__of(X2,X1)|~class_OrderedGroup_Oab__group__add(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_3012, plain, (c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5215, plain, (c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint)|~c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4524, plain, (c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3)=X1)).
% 7.70/1.50 cnf(i_0_4724, plain, (c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3)=X2)).
% 7.70/1.50 cnf(i_0_3010, plain, (c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5856, plain, (~c_in(c_Public_OpublicKey(X1,X2),c_Message_OsymKeys,tc_nat))).
% 7.70/1.50 cnf(i_0_4539, plain, (X1=c_0|c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3)=X2)).
% 7.70/1.50 cnf(i_0_4528, plain, (X1=c_0|c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3)=X2)).
% 7.70/1.50 cnf(i_0_4529, plain, (c_List_Ohd(c_List_Oupt(X1,X2),tc_nat)=X1|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5689, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 7.70/1.50 cnf(i_0_5691, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 7.70/1.50 cnf(i_0_5692, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 7.70/1.50 cnf(i_0_5694, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 7.70/1.50 cnf(i_0_5695, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg))=c_Message_OkeysFor(X2))).
% 7.70/1.50 cnf(i_0_4869, plain, (c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1)=c_0|c_Numeral_Onumber__of(X2,X1)!=c_0|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4832, plain, (c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1)=c_0|c_Numeral_Onumber__of(X2,X1)!=c_0|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4717, plain, (X2=c_List_Olist_ONil|X1=c_0|c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5073, plain, (c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(X1,X2),c_Numeral_Obit_OB0),X2)=c_Numeral_Obin__mult(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2))).
% 7.70/1.50 cnf(i_0_4210, plain, (c_Finite__Set_OMax(c_insert(X2,c_emptyset,X1),X1)=X2|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_4220, plain, (c_Finite__Set_OMin(c_insert(X2,c_emptyset,X1),X1)=X2|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5196, plain, (~class_OrderedGroup_Olordered__ab__group__abs(X1)|~c_less(c_0,c_HOL_Oabs(c_0,X1),X1))).
% 7.70/1.50 cnf(i_0_4552, plain, (c_Nat_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3))=X1)).
% 7.70/1.50 cnf(i_0_4293, plain, (c_plus(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)=c_minus(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5291, plain, (c_Nat_Opower(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),X1)=c_0|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5836, plain, (~c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4317, plain, (c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat))=c_plus(c_1,c_IntDef_Oint(X1),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5127, plain, (~class_OrderedGroup_Olordered__ab__group__abs(X1)|~c_less(c_HOL_Oabs(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4763, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_less(c_NatArith_Oof__nat(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4535, plain, (c_List_Olast(c_append(X1,c_List_Olist_ONil,X2),X2)=c_List_Olast(X1,X2))).
% 7.70/1.50 cnf(i_0_4112, plain, (c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2))).
% 7.70/1.50 cnf(i_0_5124, plain, (X2=c_0|~class_OrderedGroup_Olordered__ab__group__abs(X1)|~c_lessequals(c_HOL_Oabs(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4759, plain, (X2=c_0|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_NatArith_Oof__nat(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4877, plain, (c_HOL_Oinverse(c_Numeral_Onumber__of(X2,X1),X1)=c_divide(c_1,c_Numeral_Onumber__of(X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5863, plain, (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oknows(X3,c_List_Olist_ONil),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5875, plain, (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4169, plain, (c_div(X1,X1,tc_nat)=c_1|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4704, plain, (c_List_Oset(c_List_Orotate(X1,X2,X3),X3)=c_List_Oset(X2,X3))).
% 7.70/1.50 cnf(i_0_5658, plain, (c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2)=c_Relation_ODomain(X1,X2,X2))).
% 7.70/1.50 cnf(i_0_5660, plain, (c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2)=c_Relation_ORange(X1,X2,X2))).
% 7.70/1.50 cnf(i_0_4273, plain, (c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1)=c_plus(c_1,c_1,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5763, plain, (c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4)!=c_Message_Omsg_OCrypt(X1,X2))).
% 7.70/1.50 cnf(i_0_5768, plain, (c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OCrypt(X3,X4))).
% 7.70/1.50 cnf(i_0_4545, plain, (c_Nat_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2))=c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_4557, plain, (c_Nat_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2))=c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_4768, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)=c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5008, plain, (X2=c_1|c_times(X1,X2,tc_nat)!=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5007, plain, (X1=c_1|c_times(X1,X2,tc_nat)!=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5038, plain, (X2=c_1|c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)!=c_times(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5037, plain, (X1=c_1|c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)!=c_times(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5155, plain, (X2=c_0|c_LOrder_Ojoin(X2,c_uminus(X2,X1),X1)!=c_0|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_5157, plain, (X2=c_0|c_LOrder_Omeet(X2,c_uminus(X2,X1),X1)!=c_0|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_4534, plain, (X1=c_List_Olist_ONil|c_List_Olast(c_List_Olist_OCons(X2,X1,X3),X3)=c_List_Olast(X1,X3))).
% 7.70/1.50 cnf(i_0_4536, plain, (X1=c_List_Olist_ONil|c_List_Olast(c_append(X2,X1,X3),X3)=c_List_Olast(X1,X3))).
% 7.70/1.50 cnf(i_0_4526, plain, (X1=c_List_Olist_ONil|c_List_Ohd(c_append(X1,X2,X3),X3)=c_List_Ohd(X1,X3))).
% 7.70/1.50 cnf(i_0_4728, plain, (c_List_Oupt(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat))=c_List_Olist_ONil|c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4547, plain, (~c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat))).
% 7.70/1.50 cnf(i_0_5230, plain, (c_Parity_Oeven(c_times(X2,X1,tc_nat),tc_nat)|~c_Parity_Oeven(X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5243, plain, (c_Parity_Oeven(c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5229, plain, (c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven(X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5242, plain, (c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4161, plain, (c_div(X1,X2,tc_nat)=c_0|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4984, plain, (c_minus(X1,X2,tc_nat)=c_0|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4983, plain, (c_lessequals(X1,X2,tc_nat)|c_minus(X1,X2,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_5781, plain, (X2=X4|c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4)!=c_Message_Omsg_OMPair(X1,X2))).
% 7.70/1.50 cnf(i_0_5756, plain, (X2=X4|c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OMPair(X3,X4))).
% 7.70/1.50 cnf(i_0_5216, plain, (c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)|~c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4781, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4782, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4788, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4767, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)=c_1|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4180, plain, (c_Divides_Oop_Amod(X1,X2,tc_nat)=X1|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5258, plain, (X2=c_0|c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1)!=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_4366, plain, (c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4368, plain, (c_less(c_0,c_IntDef_Onat(X1),tc_nat)|~c_less(c_0,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5877, plain, (c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)|~c_in(X1,c_Message_OsymKeys,tc_nat))).
% 7.70/1.50 cnf(i_0_4453, plain, (c_List_Oconcat(X1,X2)=c_List_Olist_ONil|c_in(c_Main_ONil__eq__concat__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_4492, plain, (c_List_Oconcat(X1,X2)=c_List_Olist_ONil|c_in(c_Main_Oconcat__eq__Nil__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_5149, plain, (c_minus(X2,c_uminus(X3,X1),X1)=c_plus(X2,X3,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_4111, plain, (X2=c_Datatype_Ooption_OSome(X1,X3)|~c_in(X1,c_Datatype_Oo2s(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5234, plain, (c_Parity_Oeven(X2,tc_nat)|c_Parity_Oeven(X1,tc_nat)|c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5247, plain, (c_Parity_Oeven(X2,tc_IntDef_Oint)|c_Parity_Oeven(X1,tc_IntDef_Oint)|c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5222, plain, (c_Parity_Oeven(X2,tc_IntDef_Oint)|c_Parity_Oeven(X1,tc_IntDef_Oint)|c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5876, plain, (c_in(X1,c_Message_OsymKeys,tc_nat)|~c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat))).
% 7.70/1.50 cnf(i_0_4365, plain, (c_less(c_0,X1,tc_nat)|~c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4367, plain, (c_less(c_0,X1,tc_IntDef_Oint)|~c_less(c_0,c_IntDef_Onat(X1),tc_nat))).
% 7.70/1.50 cnf(i_0_5712, plain, (c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)|~c_in(X1,X2,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5831, plain, (c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(X1,X2,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5792, plain, (c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)|~c_in(X1,X2,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4504, plain, (c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_4505, plain, (c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_4509, plain, (c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_4510, plain, (c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_5663, plain, (c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Wellfounded__Recursion_Oacyclic(X1,X2))).
% 7.70/1.50 cnf(i_0_4124, plain, (c_Nat_Osize(c_Sum__Type_OInl(X1,X2,X3),tc_sum(X2,X3))=c_0)).
% 7.70/1.50 cnf(i_0_4125, plain, (c_Nat_Osize(c_Sum__Type_OInr(X1,X2,X3),tc_sum(X3,X2))=c_0)).
% 7.70/1.50 cnf(i_0_4555, plain, (c_Nat_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3))=c_Nat_Osize(X2,tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_5067, plain, (c_HOL_Oabs(c_Numeral_Onumber__of(X2,X1),X1)=c_Numeral_Onumber__of(X2,X1)|c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5528, plain, (c_in(X1,X2,X3)|c_in(X1,c_uminus(X2,tc_set(X3)),X3))).
% 7.70/1.50 cnf(i_0_5463, plain, (c_SetInterval_OatLeastAtMost(X3,X2,X1)=c_emptyset|~class_Orderings_Oorder(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5468, plain, (c_SetInterval_OatLeastLessThan(X3,X2,X1)=c_emptyset|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5495, plain, (c_SetInterval_OgreaterThanAtMost(X3,X2,X1)=c_emptyset|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4337, plain, (~c_less(c_IntDef_Oint(X1),c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5223, plain, (~c_Parity_Oeven(X1,tc_nat)|~c_Parity_Oeven(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5294, plain, (c_Nat_Opower(c_0,X2,X1)=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(c_0,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4371, plain, (c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4373, plain, (c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5092, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB1),X1),X1))).
% 7.70/1.50 cnf(i_0_4420, plain, (c_div(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)=c_div(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5288, plain, (c_less(c_0,c_Nat_Opower(X1,c_0,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5293, plain, (c_less(c_0,X3,tc_nat)|c_Nat_Opower(X2,X3,X1)!=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5797, plain, (c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5064, plain, (c_times(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1)=c_Numeral_Onumber__of(c_Numeral_Obin__mult(X2,X3),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5061, plain, (c_plus(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1)=c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X3),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4374, plain, (c_less(c_0,X2,tc_IntDef_Oint)|~c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat))).
% 7.70/1.50 cnf(i_0_4808, plain, (c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)=c_0|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4805, plain, (c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)=c_0|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4772, plain, (c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)=c_0|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4370, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4372, plain, (c_less(X1,X2,tc_nat)|~c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4375, plain, (c_less(X1,X2,tc_IntDef_Oint)|~c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat))).
% 7.70/1.50 cnf(i_0_4682, plain, (c_List_Orotate1(X1,X2)=X1|~c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_5537, plain, (c_minus(X1,X2,tc_set(X3))=c_emptyset|~c_lessequals(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5536, plain, (c_lessequals(X1,X2,tc_set(X3))|c_minus(X1,X2,tc_set(X3))!=c_emptyset)).
% 7.70/1.50 cnf(i_0_3048, plain, (c_lessequals(X1,X2,tc_set(X3))|~c_less(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4185, plain, (c_Divides_Oop_Amod(c_times(X1,X2,tc_nat),X2,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4183, plain, (c_Divides_Oop_Amod(c_times(X1,X2,tc_nat),X1,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4441, plain, (c_Divides_Oop_Amod(c_times(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_4442, plain, (c_Divides_Oop_Amod(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_4187, plain, (c_div(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)=c_0)).
% 7.70/1.50 cnf(i_0_4386, plain, (c_div(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint)=c_0)).
% 7.70/1.50 cnf(i_0_2971, plain, (c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_2987, plain, (c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_2970, plain, (c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_2986, plain, (c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4160, plain, (c_lessequals(c_div(X1,X2,tc_nat),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4985, plain, (c_lessequals(c_minus(X1,X2,tc_nat),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5709, plain, (c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat)=c_Nat_Osize(c_Message_Omsg_OHash(X1),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5287, plain, (X1=c_0|c_less(c_0,c_Nat_Opower(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5233, plain, (c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)|~c_Parity_Oeven(X2,tc_nat)|~c_Parity_Oeven(X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5246, plain, (c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_Parity_Oeven(X2,tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5221, plain, (c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_Parity_Oeven(X2,tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3051, plain, (c_in(X1,c_insert(X1,c_emptyset,X2),X2))).
% 7.70/1.50 cnf(i_0_5830, plain, (c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5777, plain, (c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5789, plain, (c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_3049, plain, (X1=X2|c_less(X1,X2,tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4421, plain, (X1=c_0|c_div(c_times(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)=X2)).
% 7.70/1.50 cnf(i_0_4422, plain, (X1=c_0|c_div(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint)=X2)).
% 7.70/1.50 cnf(i_0_4678, plain, (X1=c_List_Olist_OCons(X3,c_List_Olist_ONil,X2)|c_List_Orev(X1,X2)!=c_List_Olist_OCons(X3,c_List_Olist_ONil,X2))).
% 7.70/1.50 cnf(i_0_4705, plain, (X3=c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)|c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)!=c_List_Orev(X3,X2))).
% 7.70/1.50 cnf(i_0_3031, plain, (c_in(c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)))).
% 7.70/1.50 cnf(i_0_3032, plain, (c_in(c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_3033, plain, (c_in(c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)))).
% 7.70/1.50 cnf(i_0_3034, plain, (c_in(c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_3036, plain, (c_in(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)))).
% 7.70/1.50 cnf(i_0_3037, plain, (c_in(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_3038, plain, (c_in(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)))).
% 7.70/1.50 cnf(i_0_3039, plain, (c_in(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_4385, plain, (c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4433, plain, (c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)|~c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4637, plain, (c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_0,X3)=X1)).
% 7.70/1.50 cnf(i_0_5629, plain, (c_in(X1,c_insert(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4656, plain, (c_List_Oop_Amem(X1,c_List_Olist_OCons(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4665, plain, (c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3)=X2)).
% 7.70/1.50 cnf(i_0_5327, plain, (c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2)=X1)).
% 7.70/1.50 cnf(i_0_5776, plain, (c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5788, plain, (c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)|~c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5843, plain, (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5693, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg))=c_Message_OkeysFor(X3))).
% 7.70/1.50 cnf(i_0_5745, plain, (c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent))=c_Event_Oused(X3))).
% 7.70/1.50 cnf(i_0_2972, plain, (c_times(X2,c_Main_Omod__eq__0D__dest__1(X2,X1),tc_nat)=X1|c_Divides_Oop_Amod(X1,X2,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_2988, plain, (c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint)=X1|c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint)!=c_0)).
% 7.70/1.50 cnf(i_0_5091, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5738, plain, (c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)|~c_in(X1,c_Message_OkeysFor(X2),tc_nat))).
% 7.70/1.50 cnf(i_0_4274, plain, (c_plus(c_1,c_Numeral_Onumber__of(X2,X1),X1)=c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X2),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4275, plain, (c_plus(c_Numeral_Onumber__of(X2,X1),c_1,X1)=c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5755, plain, (X3=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2))|c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OMPair(X3,X4))).
% 7.70/1.50 cnf(i_0_5780, plain, (X1=c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4))|c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4)!=c_Message_Omsg_OMPair(X1,X2))).
% 7.70/1.50 cnf(i_0_5654, plain, (c_Transitive__Closure_Otrancl(c_union(c_emptyset,c_Relation_OId,tc_prod(X1,X1)),X1)=c_Relation_OId)).
% 7.70/1.50 cnf(i_0_4301, plain, (c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1))=X1|~c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))))).
% 7.70/1.50 cnf(i_0_4779, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(X1,tc_nat)!=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4780, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(X1,tc_nat)!=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4769, plain, (c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4343, plain, (c_lessequals(c_0,c_IntDef_Oof__int(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_0,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4752, plain, (c_less(c_0,c_NatArith_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_less(c_0,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4345, plain, (c_less(c_0,c_IntDef_Oof__int(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_less(c_0,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4354, plain, (c_lessequals(c_IntDef_Oof__int(X2,X1),c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X2,c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4358, plain, (c_less(c_IntDef_Oof__int(X2,X1),c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_less(X2,c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5412, plain, (c_times(c_uminus(X2,X1),c_uminus(X3,X1),X1)=c_times(X2,X3,X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.50 cnf(i_0_5026, plain, (X2=X3|c_plus(X1,X2,tc_nat)!=c_plus(X1,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5031, plain, (X1=X3|c_plus(X1,X2,tc_nat)!=c_plus(X3,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_3052, plain, (X1=X3|c_insert(X1,c_emptyset,X2)!=c_insert(X3,c_emptyset,X2))).
% 7.70/1.50 cnf(i_0_4747, plain, (c_NatArith_Oof__nat(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),X1)=c_plus(c_NatArith_Oof__nat(X2,X1),c_1,X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_5487, plain, (c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),tc_nat)=c_minus(X2,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5490, plain, (c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),tc_nat)=c_minus(X2,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5271, plain, (c_Nat_Opower(c_uminus(X3,X1),X2,X1)=c_Nat_Opower(X3,X2,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5083, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5003, plain, (X2=X3|X1=c_0|c_times(X1,X2,tc_nat)!=c_times(X1,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5005, plain, (X1=X3|X2=c_0|c_times(X1,X2,tc_nat)!=c_times(X3,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5167, plain, (c_lessequals(c_0,c_uminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5169, plain, (c_less(c_0,c_uminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4306, plain, (c_in(c_uminus(X2,X1),c_IntDef_OInts,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_in(X2,c_IntDef_OInts,X1))).
% 7.70/1.50 cnf(i_0_5175, plain, (c_lessequals(c_uminus(X2,X1),c_0,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5179, plain, (c_less(c_uminus(X2,X1),c_0,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_4706, plain, (c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2)=c_List_Olist_OCons(X1,c_List_Olist_ONil,X2))).
% 7.70/1.50 cnf(i_0_4679, plain, (c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2)=c_List_Olist_OCons(X1,c_List_Olist_ONil,X2))).
% 7.70/1.50 cnf(i_0_5827, plain, (c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))|~c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5834, plain, (c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))|~c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5809, plain, (c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))|~c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5640, plain, (X1=X4|c_insert(X1,X2,X3)!=c_insert(X4,c_emptyset,X3))).
% 7.70/1.50 cnf(i_0_5637, plain, (X1=X3|c_insert(X1,c_emptyset,X2)!=c_insert(X3,X4,X2))).
% 7.70/1.50 cnf(i_0_5739, plain, (c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)|~c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4138, plain, (c_Datatype__Universe_ONumb(X4,X2,X3)!=c_Datatype__Universe_OLeaf(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4140, plain, (c_Datatype__Universe_ONumb(X1,X2,X3)!=c_Datatype__Universe_OLeaf(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_4135, plain, (c_Datatype__Universe_OIn1(X4,X2,X3)!=c_Datatype__Universe_OIn0(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4137, plain, (c_Datatype__Universe_OIn1(X1,X2,X3)!=c_Datatype__Universe_OIn0(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_5647, plain, (c_Sum__Type_OInr(X4,X3,X2)!=c_Sum__Type_OInl(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5649, plain, (c_Sum__Type_OInr(X1,X2,X3)!=c_Sum__Type_OInl(X4,X3,X2))).
% 7.70/1.50 cnf(i_0_5450, plain, (c_times(c_0,c_divide(X2,c_0,X1),X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5427, plain, (c_divide(c_0,c_times(X2,c_0,X1),X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5421, plain, (c_divide(c_0,c_times(c_0,X2,X1),X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5448, plain, (c_times(c_divide(X2,c_0,X1),c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5429, plain, (c_divide(c_times(X2,c_0,X1),c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5423, plain, (c_divide(c_times(c_0,X2,X1),c_0,X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5825, plain, (c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5835, plain, (c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5795, plain, (c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5855, plain, (~c_in(c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),c_Message_OsymKeys,tc_nat))).
% 7.70/1.50 cnf(i_0_4795, plain, (c_plus(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)=c_IntDef_Oint(c_plus(X1,X2,tc_nat)))).
% 7.70/1.50 cnf(i_0_5713, plain, (c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg)=c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5687, plain, (c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_nat)=c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5472, plain, (c_SetInterval_OatLeastLessThan(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat)=c_insert(X1,c_emptyset,tc_nat))).
% 7.70/1.50 cnf(i_0_4809, plain, (c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),tc_nat)=c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4384, plain, (c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)|~c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4432, plain, (c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)|~c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5728, plain, (X3=X6|c_Event_Oevent_OSays(X1,X2,X3)!=c_Event_Oevent_OSays(X4,X5,X6))).
% 7.70/1.50 cnf(i_0_4571, plain, (X2=X5|c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))).
% 7.70/1.50 cnf(i_0_5727, plain, (X2=X5|c_Event_Oevent_OSays(X1,X2,X3)!=c_Event_Oevent_OSays(X4,X5,X6))).
% 7.70/1.50 cnf(i_0_4688, plain, (X2=X4|c_append(X1,X2,X3)!=c_append(X1,X4,X3))).
% 7.70/1.50 cnf(i_0_2946, plain, (X1=X4|c_Datatype__Universe_OLeaf(X1,X2,X3)!=c_Datatype__Universe_OLeaf(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_2947, plain, (X1=X4|c_Datatype__Universe_ONumb(X1,X2,X3)!=c_Datatype__Universe_ONumb(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_4134, plain, (X1=X4|c_Datatype__Universe_OIn0(X1,X2,X3)!=c_Datatype__Universe_OIn0(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_4136, plain, (X1=X4|c_Datatype__Universe_OIn1(X1,X2,X3)!=c_Datatype__Universe_OIn1(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_4570, plain, (X1=X4|c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))).
% 7.70/1.50 cnf(i_0_5646, plain, (X1=X4|c_Sum__Type_OInl(X1,X2,X3)!=c_Sum__Type_OInl(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_5648, plain, (X1=X4|c_Sum__Type_OInr(X1,X2,X3)!=c_Sum__Type_OInr(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_4130, plain, (X1=X4|c_Datatype__Universe_OAtom(X1,X2,X3)!=c_Datatype__Universe_OAtom(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_4475, plain, (X1=X4|c_append(X1,X2,X3)!=c_append(X4,X2,X3))).
% 7.70/1.50 cnf(i_0_5726, plain, (X1=X4|c_Event_Oevent_OSays(X1,X2,X3)!=c_Event_Oevent_OSays(X4,X5,X6))).
% 7.70/1.50 cnf(i_0_4786, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4541, plain, (c_List_Olast(c_List_Oupt(X1,X2),tc_nat)=c_minus(X2,c_1,tc_nat)|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5826, plain, (c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))|~c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5833, plain, (c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))|~c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5808, plain, (c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))|~c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5476, plain, (c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)|~class_Orderings_Oord(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5504, plain, (c_in(X3,c_SetInterval_OgreaterThan(X2,X1),X1)|~class_Orderings_Oord(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5482, plain, (c_in(X2,c_SetInterval_OatMost(X3,X1),X1)|~class_Orderings_Oord(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5515, plain, (c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)|~class_Orderings_Oord(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5839, plain, (~c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_Oknows(X2,c_List_Olist_ONil)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5411, plain, (c_divide(c_uminus(X2,X1),c_uminus(X3,X1),X1)=c_divide(X2,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4676, plain, (c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3)=c_List_Oreplicate(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4701, plain, (X1=c_0|c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3)=c_insert(X2,c_emptyset,X3))).
% 7.70/1.50 cnf(i_0_5842, plain, (c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)|~c_in(X1,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_5711, plain, (c_Nat_Osize(c_Message_Omsg_OCrypt(X1,X2),tc_Message_Omsg)=c_plus(c_Nat_Osize(X2,tc_Message_Omsg),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5396, plain, (c_lessequals(c_0,c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5402, plain, (c_less(c_0,c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5398, plain, (c_lessequals(c_HOL_Oinverse(X2,X1),c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5394, plain, (c_less(c_HOL_Oinverse(X2,X1),c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4520, plain, (c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat)|c_List_Odrop(X1,X2,X3)!=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_5451, plain, (X2=c_0|c_times(X2,c_divide(X3,X2,X1),X1)=X3|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5449, plain, (X2=c_0|c_times(c_divide(X3,X2,X1),X2,X1)=X3|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5430, plain, (X2=c_0|c_divide(c_times(X3,X2,X1),X2,X1)=X3|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5424, plain, (X2=c_0|c_divide(c_times(X2,X3,X1),X2,X1)=X3|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4173, plain, (c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4452, plain, (X1=c_List_Olist_ONil|c_List_Oconcat(X2,X3)!=c_List_Olist_ONil|~c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_4491, plain, (X1=c_List_Olist_ONil|c_List_Oconcat(X2,X3)!=c_List_Olist_ONil|~c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_5741, plain, (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3))).
% 7.70/1.50 cnf(i_0_5135, plain, (X3=X4|c_plus(X2,X3,X1)!=c_plus(X2,X4,X1)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 7.70/1.50 cnf(i_0_5140, plain, (X2=X4|c_plus(X2,X3,X1)!=c_plus(X4,X3,X1)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 7.70/1.50 cnf(i_0_5861, plain, (c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oused(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_2994, plain, (c_lessequals(c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat))).
% 7.70/1.50 cnf(i_0_5374, plain, (X3=X4|X2=c_0|c_times(X2,X3,X1)!=c_times(X2,X4,X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5376, plain, (X2=X4|X3=c_0|c_times(X2,X3,X1)!=c_times(X4,X3,X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5160, plain, (c_uminus(c_minus(X2,X3,X1),X1)=c_minus(X3,X2,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_5573, plain, (c_in(X1,c_Pow(X2,X3),tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4202, plain, (X2=c_emptyset|c_in(c_Finite__Set_OMax(X2,X1),X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4217, plain, (X2=c_emptyset|c_in(c_Finite__Set_OMin(X2,X1),X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4991, plain, (X1=c_0|~c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4353, plain, (c_lessequals(X2,c_0,tc_IntDef_Oint)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_IntDef_Oof__int(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4357, plain, (c_less(X2,c_0,tc_IntDef_Oint)|~class_Ring__and__Field_Oordered__idom(X1)|~c_less(c_IntDef_Oof__int(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4342, plain, (c_lessequals(c_0,X2,tc_IntDef_Oint)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_0,c_IntDef_Oof__int(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_4751, plain, (c_less(c_0,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_less(c_0,c_NatArith_Oof__nat(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_4344, plain, (c_less(c_0,X2,tc_IntDef_Oint)|~class_Ring__and__Field_Oordered__idom(X1)|~c_less(c_0,c_IntDef_Oof__int(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5166, plain, (c_lessequals(X2,c_0,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_0,c_uminus(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5168, plain, (c_less(X2,c_0,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_0,c_uminus(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5174, plain, (c_lessequals(c_0,X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_uminus(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5178, plain, (c_less(c_0,X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_uminus(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5817, plain, (c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5820, plain, (c_Message_Oparts(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_OHash(X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5821, plain, (c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_OKey(X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5823, plain, (c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5824, plain, (c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oparts(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5800, plain, (c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5802, plain, (c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_OHash(X1),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5805, plain, (c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5806, plain, (c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4288, plain, (c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)))=c_Numeral_Onumber__of(X1,tc_IntDef_Oint)|~c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4256, plain, (c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1)=c_1|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5475, plain, (c_lessequals(X3,X2,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OatLeast(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5481, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OatMost(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5503, plain, (c_less(X3,X2,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OgreaterThan(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5514, plain, (c_less(X2,X3,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OlessThan(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5342, plain, (X3=X4|X2=c_0|c_divide(X2,X3,X1)!=c_divide(X2,X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5344, plain, (X2=X4|X3=c_0|c_divide(X2,X3,X1)!=c_divide(X4,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4511, plain, (c_List_Odistinct(c_List_Osublist(X1,c_SetInterval_OlessThan(X3,tc_nat),X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_5378, plain, (c_HOL_Oinverse(c_divide(X2,X3,X1),X1)=c_divide(X3,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5090, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),X1),X1))).
% 7.70/1.50 cnf(i_0_5888, negated_conjecture, (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)|~c_in(v_A,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_4652, plain, (~c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4230, plain, (c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_3047, plain, (~c_lessequals(X2,X1,tc_set(X3))|~c_less(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5397, plain, (c_lessequals(X2,c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5393, plain, (c_less(X2,c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_HOL_Oinverse(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5395, plain, (c_lessequals(c_0,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,c_HOL_Oinverse(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5401, plain, (c_less(c_0,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_HOL_Oinverse(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5673, plain, (c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5880, plain, (c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5837, plain, (c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5778, plain, (c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5674, plain, (c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5838, plain, (c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5779, plain, (c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_3056, plain, (X1=X2|~c_lessequals(X2,X1,tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4790, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5225, plain, (c_Parity_Oeven(X1,tc_nat)|~c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5238, plain, (c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4523, plain, (c_List_Odrop(X1,c_List_Oupt(X2,X3),tc_nat)=c_List_Oupt(c_plus(X2,X1,tc_nat),X3))).
% 7.70/1.50 cnf(i_0_4687, plain, (c_List_Orotate(X3,X1,X2)=X1|~c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat))).
% 7.70/1.50 cnf(i_0_5572, plain, (c_lessequals(X1,X2,tc_set(X3))|~c_in(X1,c_Pow(X2,X3),tc_set(X3)))).
% 7.70/1.50 cnf(i_0_2981, plain, (X3=X4|~c_Infinite__Set_Oatmost__one(X1,X2)|~c_in(X4,X1,X2)|~c_in(X3,X1,X2))).
% 7.70/1.50 cnf(i_0_4762, plain, (c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(X2,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_4356, plain, (c_lessequals(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X2,X3,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4765, plain, (c_less(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_less(X2,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_4360, plain, (c_less(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_less(X2,X3,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4431, plain, (c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5858, plain, (c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oknows(X2,c_List_Olist_ONil),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4521, plain, (c_List_Odrop(X3,X1,X2)=c_List_Olist_ONil|~c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat))).
% 7.70/1.50 cnf(i_0_4798, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X1),tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5065, plain, (c_minus(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1)=c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4684, plain, (c_List_Orotate(X1,X2,X3)=X2|c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_5082, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),X1),X1))).
% 7.70/1.50 cnf(i_0_5177, plain, (c_lessequals(c_uminus(X3,X1),c_uminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5187, plain, (c_lessequals(c_OrderedGroup_Onprt(X2,X1),c_OrderedGroup_Onprt(X3,X1),X1)|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5191, plain, (c_lessequals(c_OrderedGroup_Opprt(X2,X1),c_OrderedGroup_Opprt(X3,X1),X1)|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5181, plain, (c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4693, plain, (c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3)=c_insert(X1,c_List_Oset(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4428, plain, (c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4282, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1)|c_Numeral_Onumber__of(X2,X1)!=c_0|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4483, plain, (X1=c_List_Olist_ONil|c_List_Obutlast(c_List_Olist_OCons(X2,X1,X3),X3)=c_List_Olist_OCons(X2,c_List_Obutlast(X1,X3),X3))).
% 7.70/1.50 cnf(i_0_4725, plain, (X1=c_List_Olist_ONil|c_List_Otl(c_append(X1,X2,X3),X3)=c_append(c_List_Otl(X1,X3),X2,X3))).
% 7.70/1.50 cnf(i_0_4430, plain, (X1=c_0|c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4799, plain, (c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X1),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5737, plain, (c_Message_OinvKey(v_sko__uhi(X2,X1))=X1|c_in(X1,c_Message_OkeysFor(X2),tc_nat)|~c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat))).
% 7.70/1.50 cnf(i_0_4292, plain, (c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_IntDef_Onat(X1),tc_nat)|~c_less(c_1,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4806, plain, (c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4770, plain, (c_plus(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4498, plain, (c_List_Odistinct(X2,X3)|~c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4501, plain, (c_List_Odistinct(X2,X3)|~c_List_Odistinct(c_append(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4508, plain, (c_List_Odistinct(X2,X3)|~c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4500, plain, (c_List_Odistinct(X1,X3)|~c_List_Odistinct(c_append(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5662, plain, (c_Wellfounded__Recursion_Oacyclic(X1,X2)|~c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2))).
% 7.70/1.50 cnf(i_0_5815, plain, (c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg))=c_Message_Oparts(X2)|~c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4639, plain, (c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4)=X2|c_Numeral_Onumber__of(X1,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_5484, plain, (c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5517, plain, (c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1))|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5478, plain, (c_lessequals(c_SetInterval_OatLeast(X3,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5506, plain, (c_lessequals(c_SetInterval_OgreaterThan(X3,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4278, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)|c_Numeral_Onumber__of(X2,X1)!=c_0|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5260, plain, (c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1)=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5435, plain, (c_uminus(c_times(X2,X3,X1),X1)=c_times(X2,c_uminus(X3,X1),X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.50 cnf(i_0_5434, plain, (c_uminus(c_times(X2,X3,X1),X1)=c_times(c_uminus(X2,X1),X3,X1)|~class_Ring__and__Field_Oring(X1))).
% 7.70/1.50 cnf(i_0_5367, plain, (c_divide(c_uminus(X2,X1),X3,X1)=c_uminus(c_divide(X2,X3,X1),X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4823, plain, (c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1)=c_0|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_4818, plain, (c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1)=c_1|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_4771, plain, (c_plus(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)=c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X1),tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4237, plain, (X2=c_emptyset|c_lessequals(c_Finite__Set_OMin(X2,X1),c_Finite__Set_OMax(X2,X1),X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5228, plain, (c_Parity_Oeven(X2,tc_nat)|c_Parity_Oeven(X1,tc_nat)|~c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5241, plain, (c_Parity_Oeven(X2,tc_IntDef_Oint)|c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4188, plain, (c_Divides_Oop_Amod(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Oop_Amod(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4387, plain, (c_Divides_Oop_Amod(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint)=c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4178, plain, (c_Divides_Oop_Amod(c_plus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Oop_Amod(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4177, plain, (c_Divides_Oop_Amod(c_plus(X1,X2,tc_nat),X1,tc_nat)=c_Divides_Oop_Amod(X2,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4438, plain, (c_Divides_Oop_Amod(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint)=c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4437, plain, (c_Divides_Oop_Amod(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint)=c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4710, plain, (c_List_Osublist(c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X1,X3)=c_List_Olist_ONil|c_in(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5259, plain, (c_less(c_0,c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1)!=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_4276, plain, (c_minus(c_1,c_Numeral_Onumber__of(X2,X1),X1)=c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4229, plain, (c_in(X1,c_Finite__Set_OFinites,tc_set(X2))|~c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))))).
% 7.70/1.50 cnf(i_0_5603, plain, (c_Union(c_insert(X1,X2,tc_set(X3)),X3)=c_union(X1,c_Union(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4489, plain, (c_List_Oconcat(c_List_Olist_OCons(X1,X2,tc_List_Olist(X3)),X3)=c_append(X1,c_List_Oconcat(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4585, plain, (c_List_Oset__Cons(X1,c_List_Olistset(X2,X3),X3)=c_List_Olistset(c_List_Olist_OCons(X1,X2,tc_set(X3)),X3))).
% 7.70/1.50 cnf(i_0_4440, plain, (c_Divides_Oop_Amod(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)=c_uminus(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4172, plain, (X1=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)|~c_Divides_Oop_Advd(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5368, plain, (c_divide(X2,c_uminus(X3,X1),X1)=c_uminus(c_divide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5621, plain, (c_insert(X1,c_insert(X1,X2,X3),X3)=c_insert(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5716, plain, (c_union(X1,c_union(X2,X1,X3),X3)=c_union(X2,X1,X3))).
% 7.70/1.50 cnf(i_0_4889, plain, (c_lessequals(c_1,c_uminus(X2,X1),X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_uminus(c_1,X1),X1))).
% 7.70/1.50 cnf(i_0_4905, plain, (c_less(c_1,c_uminus(X2,X1),X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(X2,c_uminus(c_1,X1),X1))).
% 7.70/1.50 cnf(i_0_4912, plain, (c_lessequals(c_uminus(X2,X1),c_1,X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_uminus(c_1,X1),X2,X1))).
% 7.70/1.50 cnf(i_0_4916, plain, (c_less(c_uminus(X2,X1),c_1,X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_uminus(c_1,X1),X2,X1))).
% 7.70/1.50 cnf(i_0_5231, plain, (c_Parity_Oeven(X2,tc_nat)|~c_Parity_Oeven(X1,tc_nat)|~c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5232, plain, (c_Parity_Oeven(X2,tc_nat)|~c_Parity_Oeven(X1,tc_nat)|~c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5244, plain, (c_Parity_Oeven(X2,tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5245, plain, (c_Parity_Oeven(X2,tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5219, plain, (c_Parity_Oeven(X2,tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5220, plain, (c_Parity_Oeven(X2,tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4888, plain, (c_lessequals(X2,c_uminus(c_1,X1),X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_1,c_uminus(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_4904, plain, (c_less(X2,c_uminus(c_1,X1),X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_1,c_uminus(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_4911, plain, (c_lessequals(c_uminus(c_1,X1),X2,X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_uminus(X2,X1),c_1,X1))).
% 7.70/1.50 cnf(i_0_4915, plain, (c_less(c_uminus(c_1,X1),X2,X1)|~class_HOL_Oone(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_uminus(X2,X1),c_1,X1))).
% 7.70/1.50 cnf(i_0_4908, plain, (c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1)=c_uminus(c_divide(c_1,X2,X1),X1)|~class_Numeral_Onumber__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4546, plain, (c_Nat_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3))=c_minus(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5227, plain, (c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven(X1,tc_nat)|~c_less(c_0,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5240, plain, (c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_Parity_Oeven(X1,tc_IntDef_Oint)|~c_less(c_0,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5066, plain, (c_HOL_Oabs(c_Numeral_Onumber__of(X2,X1),X1)=c_uminus(c_Numeral_Onumber__of(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5283, plain, (c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)|c_Numeral_Onumber__of(X1,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_5773, plain, (c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)|~c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4715, plain, (c_List_Osublist(X1,c_SetInterval_OlessThan(X3,tc_nat),X2)=X1|~c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat))).
% 7.70/1.50 cnf(i_0_3054, plain, (c_lessequals(X1,X2,tc_set(X3))|c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3))).
% 7.70/1.50 cnf(i_0_5213, plain, (c_Orderings_Omax(X2,c_Orderings_Omax(X2,X3,X1),X1)=c_Orderings_Omax(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5208, plain, (c_Orderings_Omin(X2,c_Orderings_Omin(X2,X3,X1),X1)=c_Orderings_Omin(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 7.70/1.50 cnf(i_0_5306, plain, (c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),c_0,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5488, plain, (c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)=c_IntDef_Onat(c_minus(X2,X1,tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_5491, plain, (c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)=c_IntDef_Onat(c_minus(X2,X1,tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_5719, plain, (c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4499, plain, (c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2)|c_in(X3,c_List_Oset(X1,X2),X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_5690, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))=c_insert(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat))).
% 7.70/1.50 cnf(i_0_5786, plain, (c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5785, plain, (c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5887, negated_conjecture, (c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5303, plain, (c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_4816, plain, (c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4694, plain, (c_union(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3)=c_List_Oset(c_append(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4670, plain, (c_append(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3)=c_List_Orev(c_append(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5305, plain, (X2=c_0|c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5576, plain, (c_union(X1,c_minus(X2,X1,tc_set(X3)),X3)=c_union(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5575, plain, (c_union(c_minus(X1,X2,tc_set(X3)),X2,X3)=c_union(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5796, plain, (c_Message_Oanalz(c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg))=c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_4761, plain, (c_lessequals(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4355, plain, (c_lessequals(X2,X3,tc_IntDef_Oint)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4764, plain, (c_less(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_less(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4359, plain, (c_less(X2,X3,tc_IntDef_Oint)|~class_Ring__and__Field_Oordered__idom(X1)|~c_less(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5272, plain, (c_Nat_Opower(c_uminus(X3,X1),X2,X1)=c_uminus(c_Nat_Opower(X3,X2,X1),X1)|c_Parity_Oeven(X2,tc_nat)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5754, plain, (X2=X4|c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4))).
% 7.70/1.50 cnf(i_0_5753, plain, (X1=X3|c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2)!=c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4))).
% 7.70/1.50 cnf(i_0_4821, plain, (c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)=c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5176, plain, (c_lessequals(X3,X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_uminus(X2,X1),c_uminus(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5180, plain, (c_less(X3,X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_uminus(X2,X1),c_uminus(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5428, plain, (X2=c_0|c_divide(X2,c_times(X3,X2,X1),X1)=c_divide(c_1,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5422, plain, (X2=c_0|c_divide(X2,c_times(X2,X3,X1),X1)=c_divide(c_1,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4376, plain, (c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)|~c_less(X1,X2,tc_IntDef_Oint)|~c_less(c_0,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4766, plain, (c_times(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)=c_NatArith_Oof__nat(c_times(X2,X3,tc_nat),X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_4754, plain, (c_plus(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)=c_NatArith_Oof__nat(c_plus(X2,X3,tc_nat),X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1))).
% 7.70/1.50 cnf(i_0_4362, plain, (c_times(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)=c_IntDef_Oof__int(c_times(X2,X3,tc_IntDef_Oint),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_4347, plain, (c_plus(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)=c_IntDef_Oof__int(c_plus(X2,X3,tc_IntDef_Oint),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_4348, plain, (c_minus(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)=c_IntDef_Oof__int(c_minus(X2,X3,tc_IntDef_Oint),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 7.70/1.50 cnf(i_0_5519, plain, (c_union(c_uminus(X1,tc_set(X3)),X2,X3)=c_uminus(c_minus(X1,X2,tc_set(X3)),tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5527, plain, (~c_in(X1,X2,X3)|~c_in(X1,c_uminus(X2,tc_set(X3)),X3))).
% 7.70/1.50 cnf(i_0_5743, plain, (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_Event_Oknows(c_Message_Oagent_OSpy,X3)|c_in(X1,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_5530, plain, (c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5159, plain, (c_plus(c_uminus(X2,X1),c_uminus(X3,X1),X1)=c_uminus(c_plus(X2,X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 7.70/1.50 cnf(i_0_5173, plain, (c_LOrder_Omeet(c_uminus(X2,X1),c_uminus(X3,X1),X1)=c_uminus(c_LOrder_Ojoin(X2,X3,X1),X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_5182, plain, (c_LOrder_Ojoin(c_uminus(X2,X1),c_uminus(X3,X1),X1)=c_uminus(c_LOrder_Omeet(X2,X3,X1),X1)|~class_OrderedGroup_Olordered__ab__group(X1))).
% 7.70/1.50 cnf(i_0_5226, plain, (c_less(c_0,X2,tc_nat)|~c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5239, plain, (c_less(c_0,X2,tc_nat)|~c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5086, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1)|c_Numeral_Onumber__of(X2,X1)!=c_Numeral_Onumber__of(X3,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4408, plain, (c_lessequals(c_0,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4975, plain, (c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4974, plain, (c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4400, plain, (c_lessequals(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)|~c_less(X1,c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3053, plain, (c_in(X1,X4,X3)|~c_in(X1,X2,X3)|~c_lessequals(X2,X4,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4467, plain, (X4=X5|c_append(X4,X1,X2)!=c_append(X5,X3,X2)|c_Nat_Osize(X1,tc_List_Olist(X2))!=c_Nat_Osize(X3,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_4466, plain, (X4=X5|c_append(X1,X4,X2)!=c_append(X3,X5,X2)|c_Nat_Osize(X1,tc_List_Olist(X2))!=c_Nat_Osize(X3,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_4468, plain, (X1=X3|c_append(X4,X1,X2)!=c_append(X5,X3,X2)|c_Nat_Osize(X1,tc_List_Olist(X2))!=c_Nat_Osize(X3,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_4465, plain, (X1=X3|c_append(X1,X4,X2)!=c_append(X3,X5,X2)|c_Nat_Osize(X1,tc_List_Olist(X2))!=c_Nat_Osize(X3,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_5492, plain, (c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat)=c_minus(X2,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5485, plain, (c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),X1,tc_nat)=c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4299, plain, (c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4297, plain, (c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(X1,X2,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4399, plain, (c_less(X1,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(X1,c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4179, plain, (c_lessequals(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4181, plain, (c_less(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4407, plain, (c_less(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)|~c_less(c_0,X1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4464, plain, (X1=c_List_Olist_ONil|c_append(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil,X2),X2)=X1)).
% 7.70/1.50 cnf(i_0_4168, plain, (c_div(c_times(X2,X1,tc_nat),X1,tc_nat)=X2|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4166, plain, (c_div(c_times(X1,X2,tc_nat),X1,tc_nat)=X2|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5595, plain, (c_union(c_Union(X1,X3),c_Union(X2,X3),X3)=c_Union(c_union(X1,X2,tc_set(X3)),X3))).
% 7.70/1.50 cnf(i_0_4490, plain, (c_append(c_List_Oconcat(X1,X3),c_List_Oconcat(X2,X3),X3)=c_List_Oconcat(c_append(X1,X2,tc_List_Olist(X3)),X3))).
% 7.70/1.50 cnf(i_0_5049, plain, (c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat)|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5477, plain, (c_lessequals(X3,X2,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(c_SetInterval_OatLeast(X2,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5505, plain, (c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_SetInterval_OgreaterThan(X2,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5483, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5516, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5538, plain, (c_minus(c_minus(X1,X2,tc_set(X3)),X2,tc_set(X3))=c_minus(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5279, plain, (c_less(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)|c_Numeral_Onumber__of(X2,tc_nat)!=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5286, plain, (X1=c_0|~c_less(c_0,c_Nat_Opower(c_0,X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5337, plain, (c_divide(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)=c_HOL_Oabs(c_divide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 7.70/1.50 cnf(i_0_5392, plain, (c_times(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X3,X1),X1)=c_HOL_Oinverse(c_times(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4990, plain, (c_plus(X1,c_minus(X2,X1,tc_nat),tc_nat)=X2|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4744, plain, (c_minus(X2,c_minus(X2,X1,tc_nat),tc_nat)=X1|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4989, plain, (c_plus(c_minus(X2,X1,tc_nat),X1,tc_nat)=X2|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4980, plain, (c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)=c_minus(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4291, plain, (c_less(c_1,X1,tc_IntDef_Oint)|~c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_IntDef_Onat(X1),tc_nat))).
% 7.70/1.50 cnf(i_0_4683, plain, (c_List_Orotate(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3)=c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5650, plain, (c_Sum__Type_OPlus(c_UNIV,c_UNIV,X1,X2)=c_UNIV)).
% 7.70/1.50 cnf(i_0_5319, plain, (c_Relation_OImage(X1,c_emptyset,X2,X3)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4733, plain, (c_List_Ozip(X1,c_List_Olist_ONil,X2,X3)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4147, plain, (c_Datatype__Universe_Ontrunc(c_0,X1,X2,X3)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4576, plain, (c_List_Olist__update(c_List_Olist_ONil,X1,X2,X3)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4735, plain, (c_List_Ozip(c_List_Olist_ONil,X1,X2,X3)=c_List_Olist_ONil)).
% 7.70/1.50 cnf(i_0_4647, plain, (c_List_Onth(c_List_Oreplicate(X2,X3,X4),X1,X4)=X3|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5033, plain, (~c_less(c_plus(X1,X2,tc_nat),X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5032, plain, (~c_less(c_plus(X1,X2,tc_nat),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4193, plain, (c_Extraction_Osumbool_Osumbool__case(X1,X2,c_Extraction_Osumbool_OLeft,X3)=X1)).
% 7.70/1.50 cnf(i_0_4194, plain, (c_Extraction_Osumbool_Osumbool__case(X1,X2,c_Extraction_Osumbool_ORight,X3)=X2)).
% 7.70/1.50 cnf(i_0_4197, plain, (c_Extraction_Osumbool_Osumbool__rec(X1,X2,c_Extraction_Osumbool_OLeft,X3)=X1)).
% 7.70/1.50 cnf(i_0_4198, plain, (c_Extraction_Osumbool_Osumbool__rec(X1,X2,c_Extraction_Osumbool_ORight,X3)=X2)).
% 7.70/1.50 cnf(i_0_5103, plain, (c_Numeral_Obit_Obit__case(X1,X2,c_Numeral_Obit_OB1,X3)=X2)).
% 7.70/1.50 cnf(i_0_5102, plain, (c_Numeral_Obit_Obit__case(X1,X2,c_Numeral_Obit_OB0,X3)=X1)).
% 7.70/1.50 cnf(i_0_5107, plain, (c_Numeral_Obit_Obit__rec(X1,X2,c_Numeral_Obit_OB1,X3)=X2)).
% 7.70/1.50 cnf(i_0_5106, plain, (c_Numeral_Obit_Obit__rec(X1,X2,c_Numeral_Obit_OB0,X3)=X1)).
% 7.70/1.50 cnf(i_0_5846, plain, (c_Public_Okeymode_Okeymode__case(X1,X2,c_Public_Okeymode_OSignature,X3)=X1)).
% 7.70/1.50 cnf(i_0_5847, plain, (c_Public_Okeymode_Okeymode__case(X1,X2,c_Public_Okeymode_OEncryption,X3)=X2)).
% 7.70/1.50 cnf(i_0_5850, plain, (c_Public_Okeymode_Okeymode__rec(X1,X2,c_Public_Okeymode_OSignature,X3)=X1)).
% 7.70/1.50 cnf(i_0_5851, plain, (c_Public_Okeymode_Okeymode__rec(X1,X2,c_Public_Okeymode_OEncryption,X3)=X2)).
% 7.70/1.50 cnf(i_0_5317, plain, (c_Relation_OImage(c_Relation_OId,X1,X2,X2)=X1)).
% 7.70/1.50 cnf(i_0_5630, plain, (c_in(X1,c_insert(X4,X2,X3),X3)|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5587, plain, (c_in(X1,c_union(X4,X2,X3),X3)|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5586, plain, (c_in(X1,c_union(X2,X4,X3),X3)|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4657, plain, (c_List_Oop_Amem(X1,c_List_Olist_OCons(X4,X2,X3),X3)|~c_List_Oop_Amem(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_3041, plain, (c_in(X1,c_Inter(X2,X3),X3)|c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5566, plain, (c_in(X1,c_Inter(X2,X3),X3)|c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5518, plain, (c_minus(c_insert(X2,c_emptyset,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))=c_insert(X2,c_emptyset,X1)|~class_Orderings_Oorder(X1))).
% 7.70/1.50 cnf(i_0_4712, plain, (c_List_Osublist(c_List_Olist_OCons(X2,X3,X4),c_SetInterval_OlessThan(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),X4)=c_List_Olist_ONil|c_Numeral_Onumber__of(X1,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4277, plain, (c_minus(c_Numeral_Onumber__of(X2,X1),c_1,X1)=c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5194, plain, (c_lessequals(c_0,c_plus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5152, plain, (c_lessequals(c_plus(X2,X2,X1),c_0,X1)|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5261, plain, (c_Nat_Opower(c_HOL_Oabs(X3,X1),c_Numeral_Onumber__of(X2,tc_nat),X1)=c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_3050, plain, (X1=X2|~c_in(X1,c_insert(X2,c_emptyset,X3),X3))).
% 7.70/1.50 cnf(i_0_5146, plain, (c_lessequals(c_minus(X2,X3,X1),c_0,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5148, plain, (c_less(c_minus(X2,X3,X1),c_0,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4774, plain, (c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)=c_0|~c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4425, plain, (c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)=c_0|~c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4775, plain, (c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)|c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_4426, plain, (c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)!=c_0)).
% 7.70/1.50 cnf(i_0_5455, plain, (c_lessequals(c_0,c_divide(c_1,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5458, plain, (c_less(c_0,c_divide(c_1,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5356, plain, (c_lessequals(c_divide(c_1,X2,X1),c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5362, plain, (c_less(c_divide(c_1,X2,X1),c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4544, plain, (c_plus(c_Nat_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)=c_Nat_Osize(c_append(X1,X2,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_5803, plain, (c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat))).
% 7.70/1.50 cnf(i_0_4871, plain, (c_divide(c_times(c_0,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1)=c_0|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4834, plain, (c_divide(c_times(c_0,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1)=c_0|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5154, plain, (c_less(c_plus(X2,X2,X1),c_0,X1)|~class_Orderings_Olinorder(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4515, plain, (c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,X3,X4)|c_Numeral_Onumber__of(X1,tc_nat)!=c_0)).
% 7.70/1.50 cnf(i_0_2974, plain, (c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_4658, plain, (c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Oremdups(X2,X3)|~c_in(X1,c_List_Oset(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5602, plain, (c_in(X1,c_Union(X4,X3),X3)|~c_in(X1,X2,X3)|~c_in(X2,X4,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4556, plain, (c_Nat_Osize(c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X3),tc_List_Olist(X3))=c_Orderings_Omin(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4266, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5110, plain, (c_times(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1)=c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),X1),X3,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5545, plain, (c_Relation_OImage(c_Relation_Odiag(c_UNIV,X1),c_UNIV,X1,X1)=c_UNIV)).
% 7.70/1.50 cnf(i_0_4201, plain, (X3=c_emptyset|c_lessequals(X2,c_Finite__Set_OMax(X3,X1),X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4219, plain, (X3=c_emptyset|c_lessequals(c_Finite__Set_OMin(X3,X1),X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5751, plain, (c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4239, plain, (X3=c_emptyset|c_Orderings_Omax(X2,c_Finite__Set_OMin(X3,X1),X1)=X2|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4238, plain, (X3=c_emptyset|c_Orderings_Omin(X2,c_Finite__Set_OMax(X3,X1),X1)=X2|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5549, plain, (c_Relation_OImage(c_Relation_Odiag(c_emptyset,X2),X1,X2,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4270, plain, (c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5546, plain, (c_Relation_OImage(c_Relation_Odiag(c_UNIV,X2),X1,X2,X2)=X1)).
% 7.70/1.50 cnf(i_0_4226, plain, (c_in(c_minus(X1,X3,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5297, plain, (X3=X4|c_Nat_Opower(X2,X3,X1)!=c_Nat_Opower(X2,X4,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~class_Power_Orecpower(X1)|~c_less(c_1,X2,X1))).
% 7.70/1.50 cnf(i_0_5550, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X2),c_emptyset,X2,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5832, plain, (c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5829, plain, (c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5547, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X2),c_UNIV,X2,X2)=X1)).
% 7.70/1.50 cnf(i_0_5783, plain, (c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5749, plain, (c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5784, plain, (c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5750, plain, (c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5548, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X2),X1,X2,X2)=X1)).
% 7.70/1.50 cnf(i_0_5653, plain, (c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2)=c_union(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId,tc_prod(X2,X2)))).
% 7.70/1.50 cnf(i_0_2992, plain, (c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))|c_in(c_Main_Oin__listsI__1(X2,X1,X3),c_List_Oset(X1,X3),X3))).
% 7.70/1.50 cnf(i_0_4965, plain, (c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4967, plain, (c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4831, plain, (c_Numeral_Onumber__of(X3,X1)=c_0|c_times(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),c_Numeral_Onumber__of(X3,X1),X1)=X2|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4870, plain, (c_Numeral_Onumber__of(X3,X1)=c_0|c_divide(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_Numeral_Onumber__of(X3,X1),X1)=X2|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4868, plain, (c_Numeral_Onumber__of(X2,X1)=c_0|c_times(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1)=X3|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4833, plain, (c_Numeral_Onumber__of(X2,X1)=c_0|c_divide(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1)=X3|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5274, plain, (c_lessequals(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5529, plain, (c_lessequals(X3,X1,tc_set(X2))|~c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5431, plain, (c_divide(c_times(X2,c_0,X1),c_times(X3,c_0,X1),X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5425, plain, (c_divide(c_times(c_0,X2,X1),c_times(c_0,X3,X1),X1)=c_0|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4726, plain, (X1=c_0|c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3)=c_List_Oreplicate(c_minus(X1,c_1,tc_nat),X2,X3))).
% 7.70/1.50 cnf(i_0_5565, plain, (c_in(X4,X1,X3)|~c_in(X1,X2,tc_set(X3))|~c_in(X4,c_Inter(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5280, plain, (X3=c_0|c_less(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5002, plain, (c_times(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)=c_plus(X1,c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5290, plain, (c_Nat_Opower(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)=c_times(X1,c_Nat_Opower(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4410, plain, (c_Nat_Opower(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_IntDef_Oint)=c_times(X1,c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5044, plain, (c_times(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat)=c_plus(X2,c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4537, plain, (c_List_Olast(c_List_Odrop(X1,X2,X3),X3)=c_List_Olast(X2,X3)|~c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 7.70/1.50 cnf(i_0_5841, plain, (c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X2,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)|~c_in(X1,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_5217, plain, (c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)=c_0|~c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4572, plain, (c_Nat_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3))=c_plus(c_Nat_Osize(X2,tc_List_Olist(X3)),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4659, plain, (c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3)|c_in(X1,c_List_Oset(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5284, plain, (c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5542, plain, (c_minus(X2,c_insert(X1,X4,X3),tc_set(X3))=c_minus(X2,X4,tc_set(X3))|c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5736, plain, (c_in(X1,c_Message_OkeysFor(X2),tc_nat)|c_in(c_Message_Omsg_OKey(v_sko__uhi(X2,X1)),X2,tc_Message_Omsg)|~c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat))).
% 7.70/1.50 cnf(i_0_4803, plain, (c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4668, plain, (c_List_Oreplicate(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3)=c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4638, plain, (c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Finite__Set_Ocard(c_SetInterval_OatMost(X4,tc_nat),tc_nat),X3)=c_List_Onth(X2,X4,X3))).
% 7.70/1.50 cnf(i_0_4517, plain, (c_List_Odrop(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Odrop(X1,X3,X4))).
% 7.70/1.50 cnf(i_0_2977, plain, (c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))|c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))|~c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))))).
% 7.70/1.50 cnf(i_0_5267, plain, (c_Numeral_Onumber__of(X2,tc_nat)=c_0|c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_3045, plain, (c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)|~c_in(X1,c_Union(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5601, plain, (c_in(X1,c_Main_OUnion__iff__1(X1,X2,X3),X3)|~c_in(X1,c_Union(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4815, plain, (c_div(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)=c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_4413, plain, (c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)=c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4784, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(X1,tc_nat)!=c_Numeral_Onumber__of(X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4283, plain, (c_Numeral_Onumber__of(X2,X1)=c_0|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1))).
% 7.70/1.50 cnf(i_0_4709, plain, (c_List_Osublist(c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X1,X3)=c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)|~c_in(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4280, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)|c_Numeral_Onumber__of(X2,X1)!=c_1|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4671, plain, (X1=c_append(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)|c_List_Orev(X1,X2)!=c_List_Olist_OCons(X3,X4,X2))).
% 7.70/1.50 cnf(i_0_4800, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_3044, plain, (c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))|~c_in(X1,c_Union(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5600, plain, (c_in(c_Main_OUnion__iff__1(X1,X2,X3),X2,tc_set(X3))|~c_in(X1,c_Union(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4296, plain, (c_lessequals(X1,X2,tc_IntDef_Oint)|~c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4298, plain, (c_less(X1,X2,tc_IntDef_Oint)|~c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5024, plain, (c_less(c_0,X2,tc_nat)|~c_less(c_0,c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5023, plain, (c_less(c_0,X1,tc_nat)|~c_less(c_0,c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4575, plain, (c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3)=c_List_Olist__inter(X4,X2,X3)|c_in(X1,c_List_Oset(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5048, plain, (c_less(X2,X1,tc_nat)|~c_less(c_0,c_minus(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4279, plain, (c_Numeral_Onumber__of(X2,X1)=c_0|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1))).
% 7.70/1.50 cnf(i_0_5285, plain, (c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Nat_Opower(X1,X2,tc_nat),tc_nat)|~c_lessequals(c_1,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4203, plain, (X2=c_emptyset|c_Orderings_Omax(X3,c_Finite__Set_OMax(X2,X1),X1)=c_Finite__Set_OMax(c_insert(X3,X2,X1),X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4218, plain, (X2=c_emptyset|c_Orderings_Omin(X3,c_Finite__Set_OMin(X2,X1),X1)=c_Finite__Set_OMin(c_insert(X3,X2,X1),X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5085, plain, (c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)|c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4669, plain, (c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3)=c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4828, plain, (c_div(c_plus(X1,X1,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=X1)).
% 7.70/1.50 cnf(i_0_4429, plain, (X1=c_0|~c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4261, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5628, plain, (X1=X2|c_in(X1,X3,X4)|~c_in(X1,c_insert(X2,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_4655, plain, (X1=X2|c_List_Oop_Amem(X1,X3,X4)|~c_List_Oop_Amem(X1,c_List_Olist_OCons(X2,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_5524, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X2),c_uminus(X1,tc_set(X2)),X2,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5151, plain, (c_lessequals(X2,c_0,X1)|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(c_plus(X2,X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5193, plain, (c_lessequals(c_0,X2,X1)|~class_OrderedGroup_Olordered__ab__group(X1)|~c_lessequals(c_0,c_plus(X2,X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5015, plain, (c_less(c_0,X1,tc_nat)|c_lessequals(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5012, plain, (c_less(c_0,X1,tc_nat)|c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4982, plain, (c_minus(c_minus(X1,X2,tc_nat),X3,tc_nat)=c_minus(X1,c_plus(X2,X3,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4418, plain, (X1=c_0|c_div(c_plus(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)=c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4417, plain, (X1=c_0|c_div(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint)=c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5145, plain, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_minus(X2,X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5147, plain, (c_less(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_minus(X2,X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5619, plain, (c_minus(c_insert(X1,X4,X3),X2,tc_set(X3))=c_minus(X4,X2,tc_set(X3))|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5355, plain, (c_lessequals(X2,c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_divide(c_1,X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5361, plain, (c_less(X2,c_0,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_divide(c_1,X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5454, plain, (c_lessequals(c_0,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,c_divide(c_1,X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5457, plain, (c_less(c_0,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_divide(c_1,X2,X1),X1))).
% 7.70/1.50 cnf(i_0_4890, plain, (c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(c_Numeral_Onumber__of(X2,X1),c_uminus(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4906, plain, (c_less(X3,c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_uminus(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4913, plain, (c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4917, plain, (c_less(c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4480, plain, (c_append(c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X3),c_List_Odrop(X1,X2,X3),X3)=X2)).
% 7.70/1.50 cnf(i_0_3055, plain, (c_lessequals(X1,X2,tc_set(X3))|~c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3))).
% 7.70/1.50 cnf(i_0_5541, plain, (c_in(X1,X4,X3)|c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4755, plain, (c_minus(c_NatArith_Oof__nat(X3,X1),c_NatArith_Oof__nat(X2,X1),X1)=c_NatArith_Oof__nat(c_minus(X3,X2,tc_nat),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_lessequals(X2,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5791, plain, (c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5464, plain, (c_lessequals(X3,X2,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OatLeastAtMost(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5469, plain, (c_lessequals(X3,X2,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OatLeastLessThan(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5205, plain, (c_lessequals(X2,X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Omin(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5465, plain, (c_lessequals(X2,X4,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OatLeastAtMost(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5497, plain, (c_lessequals(X2,X4,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OgreaterThanAtMost(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5204, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Omin(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5496, plain, (c_less(X3,X2,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OgreaterThanAtMost(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5499, plain, (c_less(X3,X2,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OgreaterThanLessThan(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5202, plain, (c_less(X2,X4,X1)|~class_Orderings_Olinorder(X1)|~c_less(X2,c_Orderings_Omin(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5470, plain, (c_less(X2,X4,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OatLeastLessThan(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5500, plain, (c_less(X2,X4,X1)|~class_Orderings_Oord(X1)|~c_in(X2,c_SetInterval_OgreaterThanLessThan(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5201, plain, (c_less(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_less(X2,c_Orderings_Omin(X3,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5210, plain, (c_lessequals(X3,X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1))).
% 7.70/1.50 cnf(i_0_5209, plain, (c_lessequals(X2,X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1))).
% 7.70/1.50 cnf(i_0_5199, plain, (c_less(X3,X4,X1)|~class_Orderings_Olinorder(X1)|~c_less(c_Orderings_Omax(X2,X3,X1),X4,X1))).
% 7.70/1.50 cnf(i_0_5198, plain, (c_less(X2,X4,X1)|~class_Orderings_Olinorder(X1)|~c_less(c_Orderings_Omax(X2,X3,X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4257, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_4497, plain, (~c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)|~c_in(X1,c_List_Oset(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5633, plain, (c_in(X1,X4,X3)|~c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_2991, plain, (c_in(X4,X2,X3)|~c_in(X4,c_List_Oset(X1,X3),X3)|~c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_5025, plain, (c_less(c_0,c_times(X2,X1,tc_nat),tc_nat)|~c_less(c_0,X2,tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5153, plain, (c_less(X2,c_0,X1)|~class_Orderings_Olinorder(X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_less(c_plus(X2,X2,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4519, plain, (c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4)=c_List_Odrop(c_plus(X1,X2,tc_nat),X3,X4))).
% 7.70/1.50 cnf(i_0_4522, plain, (c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4)=c_List_Oreplicate(c_minus(X2,X1,tc_nat),X3,X4))).
% 7.70/1.50 cnf(i_0_4162, plain, (c_less(c_div(X1,X2,tc_nat),X1,tc_nat)|~c_less(c_0,X1,tc_nat)|~c_less(c_1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4746, plain, (c_less(c_minus(X1,X2,tc_nat),X1,tc_nat)|~c_less(c_0,X2,tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4236, plain, (c_in(X2,c_Finite__Set_OFinites,tc_set(X3))|~c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4232, plain, (c_in(X2,c_Finite__Set_OFinites,tc_set(X3))|~c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4231, plain, (c_in(X1,c_Finite__Set_OFinites,tc_set(X3))|~c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5589, plain, (c_union(X1,c_insert(X2,X3,X4),X4)=c_insert(X2,c_union(X1,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_5588, plain, (c_union(c_insert(X1,X2,X3),X4,X3)=c_insert(X1,c_union(X2,X4,X3),X3))).
% 7.70/1.50 cnf(i_0_4653, plain, (c_append(c_List_Olist_OCons(X1,X2,X3),X4,X3)=c_List_Olist_OCons(X1,c_append(X2,X4,X3),X3))).
% 7.70/1.50 cnf(i_0_4463, plain, (c_append(c_append(X1,X2,X3),X4,X3)=c_append(X1,c_append(X2,X4,X3),X3))).
% 7.70/1.50 cnf(i_0_4333, plain, (c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5794, plain, (c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))=c_insert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5787, plain, (c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|~c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5087, plain, (c_Numeral_Onumber__of(X2,X1)=c_Numeral_Onumber__of(X3,X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1))).
% 7.70/1.50 cnf(i_0_5634, plain, (c_lessequals(X2,X4,tc_set(X3))|~c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5591, plain, (c_lessequals(X2,X4,tc_set(X3))|~c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5590, plain, (c_lessequals(X1,X4,tc_set(X3))|~c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4666, plain, (X1=X2|c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_4817, plain, (c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)=c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5742, plain, (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)|~c_in(X1,c_Event_Obad,tc_Message_Oagent))).
% 7.70/1.50 cnf(i_0_4300, plain, (X1=X2|c_IntDef_OAbs__Integ(X1)!=c_IntDef_OAbs__Integ(X2)|~c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))|~c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))))).
% 7.70/1.50 cnf(i_0_5539, plain, (c_in(X1,X2,X4)|~c_in(X1,c_minus(X2,X3,tc_set(X4)),X4))).
% 7.70/1.50 cnf(i_0_4484, plain, (c_List_Obutlast(c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3)=X1)).
% 7.70/1.50 cnf(i_0_4540, plain, (c_List_Olast(c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3)=X2)).
% 7.70/1.50 cnf(i_0_3025, plain, (c_in(c_Main_OdiagE__1(X2,X1,X3),X2,X3)|~c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_4891, plain, (c_lessequals(c_Numeral_Onumber__of(X3,X1),c_uminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4907, plain, (c_less(c_Numeral_Onumber__of(X3,X1),c_uminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_less(X2,c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4914, plain, (c_lessequals(c_uminus(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1))).
% 7.70/1.50 cnf(i_0_4918, plain, (c_less(c_uminus(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~class_Numeral_Onumber(X1)|~c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1))).
% 7.70/1.50 cnf(i_0_5446, plain, (c_divide(c_times(X2,X3,X1),X4,X1)=c_times(X2,c_divide(X3,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5447, plain, (c_divide(c_times(X2,X4,X1),X3,X1)=c_times(c_divide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_4646, plain, (c_in(c_List_Onth(X2,X1,X3),c_List_Oset(X2,X3),X3)|~c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 7.70/1.50 cnf(i_0_2978, plain, (c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))|~c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))|~c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_5641, plain, (c_lessequals(X2,c_insert(X4,c_emptyset,X3),tc_set(X3))|c_insert(X1,X2,X3)!=c_insert(X4,c_emptyset,X3))).
% 7.70/1.50 cnf(i_0_5638, plain, (c_lessequals(X4,c_insert(X1,c_emptyset,X2),tc_set(X2))|c_insert(X1,c_emptyset,X2)!=c_insert(X3,X4,X2))).
% 7.70/1.50 cnf(i_0_4700, plain, (c_List_Oset(c_List_Oremove1(X3,X1,X2),X2)=c_minus(c_List_Oset(X1,X2),c_insert(X3,c_emptyset,X2),tc_set(X2))|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_4773, plain, (c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint))=c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4822, plain, (c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_nat),tc_IntDef_Oint))=c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3042, plain, (c_in(X1,c_Inter(X2,X3),X3)|~c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5567, plain, (c_in(X1,c_Inter(X2,X3),X3)|~c_in(X1,c_Main_OInter__iff__1(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4307, plain, (c_in(c_times(X3,X2,X1),c_IntDef_OInts,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_in(X3,c_IntDef_OInts,X1)|~c_in(X2,c_IntDef_OInts,X1))).
% 7.70/1.50 cnf(i_0_4311, plain, (c_in(c_times(X3,X2,X1),c_IntDef_ONats,X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~c_in(X3,c_IntDef_ONats,X1)|~c_in(X2,c_IntDef_ONats,X1))).
% 7.70/1.50 cnf(i_0_4304, plain, (c_in(c_plus(X3,X2,X1),c_IntDef_OInts,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_in(X3,c_IntDef_OInts,X1)|~c_in(X2,c_IntDef_OInts,X1))).
% 7.70/1.50 cnf(i_0_4310, plain, (c_in(c_plus(X3,X2,X1),c_IntDef_ONats,X1)|~class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)|~c_in(X3,c_IntDef_ONats,X1)|~c_in(X2,c_IntDef_ONats,X1))).
% 7.70/1.50 cnf(i_0_4305, plain, (c_in(c_minus(X3,X2,X1),c_IntDef_OInts,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_in(X3,c_IntDef_OInts,X1)|~c_in(X2,c_IntDef_OInts,X1))).
% 7.70/1.50 cnf(i_0_5347, plain, (c_divide(c_times(X2,X4,X1),X3,X1)=c_divide(X2,c_divide(X3,X4,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5346, plain, (c_divide(c_divide(X2,X3,X1),X4,X1)=c_divide(X2,c_times(X3,X4,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5119, plain, (c_HOL_Oabs(c_plus(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1),X1)=c_plus(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)|~class_OrderedGroup_Olordered__ab__group__abs(X1))).
% 7.70/1.50 cnf(i_0_5432, plain, (X2=c_0|c_divide(c_times(X3,X2,X1),c_times(X4,X2,X1),X1)=c_divide(X3,X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5426, plain, (X2=c_0|c_divide(c_times(X2,X3,X1),c_times(X2,X4,X1),X1)=c_divide(X3,X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 7.70/1.50 cnf(i_0_5304, plain, (X2=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5275, plain, (c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5281, plain, (c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5270, plain, (c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5752, plain, (c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg)))=c_Message_Osynth(c_Message_Oanalz(X2))|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_2993, plain, (c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3))|~c_in(c_Main_Oin__listsI__1(X1,X2,X3),X1,X3))).
% 7.70/1.50 cnf(i_0_5498, plain, (c_in(X3,c_SetInterval_OgreaterThanAtMost(X2,X4,X1),X1)|~class_Orderings_Oord(X1)|~c_lessequals(X3,X4,X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5466, plain, (c_in(X2,c_SetInterval_OatLeastAtMost(X4,X3,X1),X1)|~class_Orderings_Oord(X1)|~c_lessequals(X4,X2,X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5471, plain, (c_in(X2,c_SetInterval_OatLeastLessThan(X4,X3,X1),X1)|~class_Orderings_Oord(X1)|~c_lessequals(X4,X2,X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5501, plain, (c_in(X2,c_SetInterval_OgreaterThanLessThan(X4,X3,X1),X1)|~class_Orderings_Oord(X1)|~c_less(X4,X2,X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5206, plain, (c_lessequals(X2,c_Orderings_Omin(X4,X3,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5203, plain, (c_less(X2,c_Orderings_Omin(X4,X3,X1),X1)|~class_Orderings_Olinorder(X1)|~c_less(X2,X4,X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5211, plain, (c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5200, plain, (c_less(c_Orderings_Omax(X4,X2,X1),X3,X1)|~class_Orderings_Olinorder(X1)|~c_less(X4,X3,X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4720, plain, (c_List_Osublist(c_List_Oreplicate(X2,X3,X4),c_SetInterval_OlessThan(X1,tc_nat),X4)=c_List_Oreplicate(c_Orderings_Omin(X1,X2,tc_nat),X3,X4))).
% 7.70/1.50 cnf(i_0_5013, plain, (c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5016, plain, (c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5028, plain, (c_lessequals(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5030, plain, (c_less(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4212, plain, (X2=c_emptyset|c_lessequals(X3,c_Finite__Set_OMin(X2,X1),X1)|c_in(c_Main_OMin__ge__iff__1(X2,X3,X1),X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4215, plain, (X2=c_emptyset|c_less(X3,c_Finite__Set_OMin(X2,X1),X1)|c_in(c_Main_OMin__gr__iff__1(X2,X3,X1),X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4205, plain, (X2=c_emptyset|c_lessequals(c_Finite__Set_OMax(X2,X1),X3,X1)|c_in(c_Main_OMax__le__iff__1(X2,X3,X1),X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4208, plain, (X2=c_emptyset|c_less(c_Finite__Set_OMax(X2,X1),X3,X1)|c_in(c_Main_OMax__less__iff__1(X2,X3,X1),X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5404, plain, (c_lessequals(c_1,c_divide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X3,X2,X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5408, plain, (c_less(c_1,c_divide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,X3,X1)|~c_less(X3,c_0,X1))).
% 7.70/1.50 cnf(i_0_5406, plain, (c_lessequals(c_1,c_divide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,X3,X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5410, plain, (c_less(c_1,c_divide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,X3,X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5358, plain, (c_lessequals(c_divide(X3,X2,X1),c_1,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,X3,X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5364, plain, (c_less(c_divide(X3,X2,X1),c_1,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,X3,X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5360, plain, (c_lessequals(c_divide(X3,X2,X1),c_1,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X3,X2,X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5366, plain, (c_less(c_divide(X2,X3,X1),c_1,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,X3,X1)|~c_less(c_0,X3,X1))).
% 7.70/1.50 cnf(i_0_4648, plain, (c_List_Onth(c_List_Osublist(X3,c_SetInterval_OlessThan(X2,tc_nat),X4),X1,X4)=c_List_Onth(X3,X1,X4)|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4727, plain, (c_List_Oupt(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat))=c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4973, plain, (c_less(c_0,X2,tc_nat)|c_less(c_0,X1,tc_nat)|~c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4819, plain, (c_Nat_Opower(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1)=c_times(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5710, plain, (c_plus(c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Nat_Osize(X2,tc_Message_Omsg),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat)=c_Nat_Osize(c_Message_Omsg_OMPair(X1,X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5635, plain, (c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))|~c_in(X1,X2,X3)|~c_lessequals(X4,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5523, plain, (c_Relation_OImage(c_Relation_Odiag(c_uminus(X1,tc_set(X2)),X2),X1,X2,X2)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4964, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4966, plain, (c_less(X1,X2,tc_nat)|~c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5266, plain, (c_Numeral_Onumber__of(X3,tc_nat)=c_0|c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4233, plain, (c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))|~c_in(X3,c_Finite__Set_OFinites,tc_set(X2))|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_4225, plain, (c_Finite__Set_Ocard(c_insert(X3,X1,X2),X2)=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(X1,X2),tc_nat),tc_nat)|c_in(X3,X1,X2)|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_4272, plain, (c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1)|c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5262, plain, (c_Numeral_Onumber__of(X3,tc_nat)!=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_3004, plain, (c_in(X1,X4,X3)|~c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_5592, plain, (c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))|~c_lessequals(X4,X2,tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5540, plain, (~c_in(X1,X2,X3)|~c_in(X1,c_minus(X4,X2,tc_set(X3)),X3))).
% 7.70/1.50 cnf(i_0_5132, plain, (c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5134, plain, (c_lessequals(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5137, plain, (c_less(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5139, plain, (c_less(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4262, plain, (c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1))).
% 7.70/1.50 cnf(i_0_5585, plain, (c_in(X1,X3,X4)|c_in(X1,X2,X4)|~c_in(X1,c_union(X2,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_4972, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X1,X2,tc_nat),tc_nat),tc_nat)=c_plus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5046, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X1,X2,tc_nat),tc_nat),tc_nat)=c_plus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5093, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5642, plain, (c_insert(X2,X1,X3)=c_insert(X2,c_emptyset,X3)|~c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5639, plain, (c_insert(X2,c_emptyset,X3)=c_insert(X2,X1,X3)|~c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)))).
% 7.70/1.50 cnf(i_0_5510, plain, (c_lessequals(c_SetInterval_OatLeastLessThan(X3,X2,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1))|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_5386, plain, (c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,X3,X1)|~c_less(X3,c_0,X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5390, plain, (c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,X3,X1)|~c_less(X3,c_0,X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_5384, plain, (c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,X3,X1)|~c_less(c_0,X3,X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5388, plain, (c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,X3,X1)|~c_less(c_0,X3,X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_2983, plain, (c_less(c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4807, plain, (c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))=c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4211, plain, (X3=c_emptyset|c_lessequals(X4,X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1))|~c_lessequals(X4,c_Finite__Set_OMin(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4214, plain, (X3=c_emptyset|c_less(X4,X2,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1))|~c_less(X4,c_Finite__Set_OMin(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4204, plain, (X3=c_emptyset|c_lessequals(X2,X4,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1))|~c_lessequals(c_Finite__Set_OMax(X3,X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4207, plain, (X3=c_emptyset|c_less(X2,X4,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,X3,X1)|~c_in(X3,c_Finite__Set_OFinites,tc_set(X1))|~c_less(c_Finite__Set_OMax(X3,X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4801, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5531, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3)=c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4284, plain, (c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)|c_Numeral_Onumber__of(X2,X1)!=c_1|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4258, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1))).
% 7.70/1.50 cnf(i_0_4827, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat)=c_plus(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4826, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat)=c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4981, plain, (c_less(c_minus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat),X1,tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4785, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5113, plain, (c_times(c_Numeral_Onumber__of(X2,X1),c_times(c_Numeral_Onumber__of(X3,X1),X4,X1),X1)=c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X2,X3),X1),X4,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5053, plain, (c_plus(c_Numeral_Onumber__of(X2,X1),c_plus(c_Numeral_Onumber__of(X3,X1),X4,X1),X1)=c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X3),X1),X4,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4649, plain, (c_List_Onth(c_List_Oupt(X1,X3),X2,tc_nat)=c_plus(X1,X2,tc_nat)|~c_less(c_plus(X1,X2,tc_nat),X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5282, plain, (c_Numeral_Onumber__of(X2,tc_nat)=c_0|c_less(c_0,X1,tc_nat)|~c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5042, plain, (c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X2,X1,tc_nat),tc_nat)|~c_lessequals(c_1,X2,tc_nat)|~c_lessequals(c_1,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5775, plain, (c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5218, plain, (c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)!=c_0)).
% 7.70/1.50 cnf(i_0_3003, plain, (c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))|~c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_4470, plain, (c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))|~c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_4469, plain, (c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))|~c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_5269, plain, (c_less(X2,c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5651, plain, (c_Relation_ODomain(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),X2,X2)=c_UNIV)).
% 7.70/1.50 cnf(i_0_5652, plain, (c_Relation_ORange(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),X2,X2)=c_UNIV)).
% 7.70/1.50 cnf(i_0_4577, plain, (c_List_Olist__update(X1,X3,X4,X2)=X1|~c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5534, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X3),c_minus(X2,X1,tc_set(X3)),X3,X3)=c_emptyset)).
% 7.70/1.50 cnf(i_0_5811, plain, (c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg)=c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5878, plain, (c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))).
% 7.70/1.50 cnf(i_0_5774, plain, (c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5265, plain, (X2=c_0|c_lessequals(X2,c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4235, plain, (c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))|~c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))))).
% 7.70/1.50 cnf(i_0_4107, plain, (c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat))=c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)),tc_nat))).
% 7.70/1.50 cnf(i_0_5268, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|~c_less(c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4164, plain, (c_div(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat)=c_div(X2,X3,tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4163, plain, (c_div(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat)=c_div(X2,X3,tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_5813, plain, (c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg))=c_Message_OkeysFor(X3))).
% 7.70/1.50 cnf(i_0_4642, plain, (c_List_Onth(c_append(X1,X2,X3),c_plus(c_Nat_Osize(X1,tc_List_Olist(X3)),X4,tc_nat),X3)=c_List_Onth(X2,X4,X3))).
% 7.70/1.50 cnf(i_0_5263, plain, (X3=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|~c_lessequals(c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5041, plain, (c_lessequals(c_1,X2,tc_nat)|~c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5040, plain, (c_lessequals(c_1,X1,tc_nat)|~c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X1,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4741, plain, (c_minus(c_plus(X3,X2,tc_nat),X1,tc_nat)=c_plus(X3,c_minus(X2,X1,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4745, plain, (c_minus(X3,c_minus(X2,X1,tc_nat),tc_nat)=c_minus(c_plus(X3,X1,tc_nat),X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4740, plain, (c_minus(c_plus(X2,X3,tc_nat),X1,tc_nat)=c_plus(c_minus(X2,X1,tc_nat),X3,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5385, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X3,c_0,X1)|~c_less(X2,c_0,X1)|~c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5389, plain, (c_less(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X3,c_0,X1)|~c_less(X2,c_0,X1)|~c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5383, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X3,X1)|~c_less(c_0,X2,X1)|~c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5387, plain, (c_less(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X3,X1)|~c_less(c_0,X2,X1)|~c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5278, plain, (c_Numeral_Onumber__of(X2,tc_nat)=c_0|c_less(c_0,c_0,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1))).
% 7.70/1.50 cnf(i_0_4516, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_0|c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Odrop(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4))).
% 7.70/1.50 cnf(i_0_4640, plain, (c_Numeral_Onumber__of(X4,tc_nat)=c_0|c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X4,tc_nat),X3)=c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X4,tc_nat),c_1,tc_nat),X3))).
% 7.70/1.50 cnf(i_0_4789, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X1)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4787, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4259, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5277, plain, (c_Numeral_Onumber__of(X2,tc_nat)=c_0|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|~c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1))).
% 7.70/1.50 cnf(i_0_5253, plain, (c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)=c_0|c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)=c_1)).
% 7.70/1.50 cnf(i_0_5403, plain, (c_lessequals(X3,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_lessequals(c_1,c_divide(X3,X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5407, plain, (c_less(X3,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_less(c_1,c_divide(X3,X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5357, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_lessequals(c_divide(X3,X2,X1),c_1,X1))).
% 7.70/1.50 cnf(i_0_5363, plain, (c_less(X2,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_less(c_divide(X3,X2,X1),c_1,X1))).
% 7.70/1.50 cnf(i_0_5405, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1)|~c_lessequals(c_1,c_divide(X3,X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5409, plain, (c_less(X2,X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1)|~c_less(c_1,c_divide(X3,X2,X1),X1))).
% 7.70/1.50 cnf(i_0_5359, plain, (c_lessequals(X3,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1)|~c_lessequals(c_divide(X3,X2,X1),c_1,X1))).
% 7.70/1.50 cnf(i_0_5365, plain, (c_less(X3,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1)|~c_less(c_divide(X3,X2,X1),c_1,X1))).
% 7.70/1.50 cnf(i_0_5744, plain, (c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent))=c_insert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4265, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1))).
% 7.70/1.50 cnf(i_0_5094, plain, (c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1))).
% 7.70/1.50 cnf(i_0_4414, plain, (c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)=c_div(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4641, plain, (c_List_Onth(c_append(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize(X1,tc_List_Olist(X4)),X4)=X2)).
% 7.70/1.50 cnf(i_0_4802, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3005, plain, (c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))|~c_in(X1,X2,X3)|~c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_4154, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4155, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3)=c_emptyset)).
% 7.70/1.50 cnf(i_0_4182, plain, (c_Divides_Oop_Amod(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X3,tc_nat)=c_Divides_Oop_Amod(X1,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_4184, plain, (c_Divides_Oop_Amod(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X2,tc_nat)=c_Divides_Oop_Amod(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4269, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1))).
% 7.70/1.50 cnf(i_0_4783, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4791, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_Numeral_Onumber__of(X2,tc_nat)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5507, plain, (c_minus(c_SetInterval_OatLeastLessThan(X2,X4,X1),c_SetInterval_OatLeastLessThan(X2,X3,X1),tc_set(X1))=c_SetInterval_OatLeastLessThan(X3,X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_3016, plain, (c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2)=X1|~c_in(X1,c_Relation_OId,tc_prod(X2,X2)))).
% 7.70/1.50 cnf(i_0_5493, plain, (c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)=c_IntDef_Onat(c_minus(X2,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_5019, plain, (c_less(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)|~c_less(X1,X2,tc_nat)|~c_less(c_0,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5022, plain, (c_less(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)|~c_less(X1,X2,tc_nat)|~c_less(c_0,X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5746, plain, (c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent))=c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X3),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5264, plain, (c_lessequals(X2,c_0,X1)|c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5273, plain, (c_lessequals(c_0,X2,X1)|c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1))).
% 7.70/1.50 cnf(i_0_5486, plain, (c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)=c_IntDef_Onat(c_plus(c_minus(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)))).
% 7.70/1.50 cnf(i_0_5544, plain, (X2=c_UNIV|c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3)!=c_UNIV)).
% 7.70/1.50 cnf(i_0_5543, plain, (X1=c_UNIV|c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3)!=c_UNIV)).
% 7.70/1.50 cnf(i_0_5568, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X3),c_Inter(X2,X3),X3,X3)=c_Inter(c_insert(X1,X2,tc_set(X3)),X3))).
% 7.70/1.50 cnf(i_0_4997, plain, (c_Orderings_Omax(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Orderings_Omax(X1,X2,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5000, plain, (c_Orderings_Omin(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Orderings_Omin(X1,X2,tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4672, plain, (c_List_Orev(c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2),X2)=c_List_Olist_OCons(X3,X1,X2))).
% 7.70/1.50 cnf(i_0_4281, plain, (c_Numeral_Onumber__of(X2,X1)=c_1|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1))).
% 7.70/1.50 cnf(i_0_5620, plain, (c_insert(X1,c_minus(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)),X3)=c_insert(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4268, plain, (c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1)|c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_4213, plain, (X2=c_emptyset|c_lessequals(X3,c_Finite__Set_OMin(X2,X1),X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1))|~c_lessequals(X3,c_Main_OMin__ge__iff__1(X2,X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4216, plain, (X2=c_emptyset|c_less(X3,c_Finite__Set_OMin(X2,X1),X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1))|~c_less(X3,c_Main_OMin__gr__iff__1(X2,X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4206, plain, (X2=c_emptyset|c_lessequals(c_Finite__Set_OMax(X2,X1),X3,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1))|~c_lessequals(c_Main_OMax__le__iff__1(X2,X3,X1),X3,X1))).
% 7.70/1.50 cnf(i_0_4209, plain, (X2=c_emptyset|c_less(c_Finite__Set_OMax(X2,X1),X3,X1)|~class_Orderings_Olinorder(X1)|~c_in(X2,c_Finite__Set_OFinites,tc_set(X1))|~c_less(c_Main_OMax__less__iff__1(X2,X3,X1),X3,X1))).
% 7.70/1.50 cnf(i_0_5276, plain, (c_Numeral_Onumber__of(X3,tc_nat)=c_0|c_less(c_0,X2,X1)|c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Power_Orecpower(X1)|~c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1))).
% 7.70/1.50 cnf(i_0_4954, plain, (c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1)|~c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4960, plain, (c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4953, plain, (c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X2,X1)|~c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4959, plain, (c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1)|~c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4839, plain, (c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1)|~c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4855, plain, (c_less(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4840, plain, (c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X2,X1)|~c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4856, plain, (c_less(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1)|~c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4574, plain, (c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3)=c_List_Olist_OCons(X1,c_List_Olist__inter(X4,X2,X3),X3)|~c_in(X1,c_List_Oset(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_5296, plain, (c_lessequals(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~class_Power_Orecpower(X1)|~c_lessequals(X3,X4,tc_nat)|~c_less(c_1,X2,X1))).
% 7.70/1.50 cnf(i_0_5301, plain, (c_less(c_Nat_Opower(X4,X2,X1),c_Nat_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~class_Power_Orecpower(X1)|~c_less(X2,X3,tc_nat)|~c_less(c_1,X4,X1))).
% 7.70/1.50 cnf(i_0_5818, plain, (c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_4234, plain, (c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))|~c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))))).
% 7.70/1.50 cnf(i_0_5511, plain, (c_lessequals(c_SetInterval_OatLeastLessThan(X5,X2,X1),c_SetInterval_OatLeastLessThan(X4,X3,X1),tc_set(X1))|~class_Orderings_Olinorder(X1)|~c_lessequals(X4,X5,X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4581, plain, (c_Relation_OImage(c_List_Olistrel(X1,X2),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)),tc_List_Olist(X2),tc_List_Olist(X2))=c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)))).
% 7.70/1.50 cnf(i_0_4952, plain, (c_lessequals(X3,c_0,X1)|c_lessequals(c_0,X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4958, plain, (c_less(X3,c_0,X1)|c_less(c_0,X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4838, plain, (c_lessequals(X3,c_0,X1)|c_lessequals(c_0,X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4854, plain, (c_less(X3,c_0,X1)|c_less(c_0,X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5020, plain, (c_less(c_0,X2,tc_nat)|~c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5017, plain, (c_less(c_0,X1,tc_nat)|~c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5312, plain, (c_Pair(c_Main_Osurj__pair__1(X1,X2,X3),c_Main_Osurj__pair__2(X1,X2,X3),X2,X3)=X1)).
% 7.70/1.50 cnf(i_0_5310, plain, (c_Pair(c_fst(X1,X2,X3),c_snd(X1,X2,X3),X2,X3)=X1)).
% 7.70/1.50 cnf(i_0_5027, plain, (c_lessequals(X2,X3,tc_nat)|~c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5018, plain, (c_less(X2,X3,tc_nat)|~c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5029, plain, (c_less(X2,X3,tc_nat)|~c_less(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5021, plain, (c_less(X1,X3,tc_nat)|~c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4722, plain, (c_List_Osublist(c_List_Oupt(X1,X3),c_SetInterval_OlessThan(X2,tc_nat),tc_nat)=c_List_Oupt(X1,c_plus(X1,X2,tc_nat))|~c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat))).
% 7.70/1.50 cnf(i_0_4471, plain, (c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))|~c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))|~c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3)))).
% 7.70/1.50 cnf(i_0_5052, plain, (c_plus(c_Numeral_Onumber__of(X2,X1),c_minus(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)=c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X4)),X1),X3,X1)|~class_Numeral_Onumber__ring(X1))).
% 7.70/1.50 cnf(i_0_5084, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1))).
% 7.70/1.50 cnf(i_0_4139, plain, (c_Datatype__Universe_OLeaf(X1,X2,X3)!=c_Datatype__Universe_OScons(X4,X5,X2,X3))).
% 7.70/1.50 cnf(i_0_4141, plain, (c_Datatype__Universe_ONumb(X1,X2,X3)!=c_Datatype__Universe_OScons(X4,X5,X2,X3))).
% 7.70/1.50 cnf(i_0_4131, plain, (c_Datatype__Universe_OAtom(X1,X2,X3)!=c_Datatype__Universe_OScons(X4,X5,X2,X3))).
% 7.70/1.50 cnf(i_0_4145, plain, (c_Datatype__Universe_OScons(X1,X2,X3,X4)!=c_Datatype__Universe_OLeaf(X5,X3,X4))).
% 7.70/1.50 cnf(i_0_4146, plain, (c_Datatype__Universe_OScons(X1,X2,X3,X4)!=c_Datatype__Universe_ONumb(X5,X3,X4))).
% 7.70/1.50 cnf(i_0_4144, plain, (c_Datatype__Universe_OScons(X1,X2,X3,X4)!=c_Datatype__Universe_OAtom(X5,X3,X4))).
% 7.70/1.50 cnf(i_0_4151, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_OLeaf(X2,X3,X4),X3,X4)=c_Datatype__Universe_OLeaf(X2,X3,X4))).
% 7.70/1.50 cnf(i_0_4152, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_ONumb(X2,X3,X4),X3,X4)=c_Datatype__Universe_ONumb(X2,X3,X4))).
% 7.70/1.50 cnf(i_0_4148, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_OAtom(X2,X3,X4),X3,X4)=c_Datatype__Universe_OAtom(X2,X3,X4))).
% 7.70/1.50 cnf(i_0_4897, plain, (c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4881, plain, (c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)|c_lessequals(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1))).
% 7.70/1.50 cnf(i_0_4844, plain, (c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)|c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_4860, plain, (c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)|c_less(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_5765, plain, (c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4532, plain, (c_append(c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3),X4,X3)=c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,X4,X3),X3))).
% 7.70/1.50 cnf(i_0_4263, plain, (c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1))).
% 7.70/1.50 cnf(i_0_5131, plain, (c_lessequals(X3,X4,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5133, plain, (c_lessequals(X2,X4,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1))).
% 7.70/1.50 cnf(i_0_5136, plain, (c_less(X3,X4,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_less(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5138, plain, (c_less(X2,X4,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_less(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4950, plain, (c_lessequals(X3,c_0,X1)|c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4956, plain, (c_less(X3,c_0,X1)|c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4837, plain, (c_lessequals(X3,c_0,X1)|c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4853, plain, (c_less(X3,c_0,X1)|c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4836, plain, (c_lessequals(c_0,X3,X1)|c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4852, plain, (c_less(c_0,X3,X1)|c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4951, plain, (c_lessequals(c_0,X3,X1)|c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4957, plain, (c_less(c_0,X3,X1)|c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4242, plain, (c_GCD_Ogcd(c_Pair(X1,c_0,tc_nat,tc_nat))=X1)).
% 7.70/1.50 cnf(i_0_4243, plain, (c_GCD_Ogcd(c_Pair(c_0,X1,tc_nat,tc_nat))=X1)).
% 7.70/1.50 cnf(i_0_4253, plain, (c_GCD_Ogcd(c_Pair(X1,X1,tc_nat,tc_nat))=X1)).
% 7.70/1.50 cnf(i_0_4415, plain, (X2=c_Numeral_Obit_OB0|c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X3,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)=c_div(c_plus(c_Numeral_Onumber__of(X3,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4578, plain, (c_List_Olist__update(X2,X1,c_List_Onth(X2,X1,X3),X3)=X2|~c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 7.70/1.50 cnf(i_0_4462, plain, (X2=X5|c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3)!=c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3))).
% 7.70/1.50 cnf(i_0_4461, plain, (X1=X4|c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3)!=c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3))).
% 7.70/1.50 cnf(i_0_4260, plain, (c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1))).
% 7.70/1.50 cnf(i_0_4804, plain, (c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),tc_IntDef_Oint),tc_IntDef_Oint)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4949, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4955, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1))).
% 7.70/1.50 cnf(i_0_4835, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_4851, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1))).
% 7.70/1.50 cnf(i_0_5522, plain, (c_Relation_OImage(c_Relation_Odiag(c_uminus(X1,tc_set(X3)),X3),c_uminus(X2,tc_set(X3)),X3,X3)=c_uminus(c_union(X1,X2,X3),tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4721, plain, (c_List_Osublist(c_List_Osublist(X3,c_SetInterval_OlessThan(X2,tc_nat),X4),c_SetInterval_OlessThan(X1,tc_nat),X4)=c_List_Osublist(X3,c_SetInterval_OlessThan(c_Orderings_Omin(X1,X2,tc_nat),tc_nat),X4))).
% 7.70/1.50 cnf(i_0_4963, plain, (c_minus(c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X3,tc_nat),tc_nat),tc_nat)=c_minus(c_minus(X1,X2,tc_nat),X3,tc_nat))).
% 7.70/1.50 cnf(i_0_5764, plain, (c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)|~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4714, plain, (c_List_Osublist(c_List_Olist_OCons(X2,X3,X4),c_SetInterval_OlessThan(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),X4)=c_List_Olist_OCons(X2,c_List_Osublist(X3,c_SetInterval_OlessThan(X1,tc_nat),X4),X4))).
% 7.70/1.50 cnf(i_0_4123, plain, (c_Nat_Osize(c_Pair(X1,X2,X3,X4),tc_prod(X3,X4))=c_0)).
% 7.70/1.50 cnf(i_0_4549, plain, (c_Nat_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4))=c_Nat_Osize(X1,tc_List_Olist(X4)))).
% 7.70/1.50 cnf(i_0_5812, plain, (c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)|c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)|~c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4502, plain, (c_Relation_OImage(c_Relation_Odiag(c_List_Oset(X1,X3),X3),c_List_Oset(X2,X3),X3,X3)=c_emptyset|~c_List_Odistinct(c_append(X1,X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4635, plain, (c_in(X1,c_List_Oset(X3,X4),X4)|~c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4))).
% 7.70/1.50 cnf(i_0_4636, plain, (c_in(X1,c_List_Oset(X2,X4),X4)|~c_in(X1,c_List_Oset(c_List_Osublist(X2,X3,X4),X4),X4))).
% 7.70/1.50 cnf(i_0_5014, plain, (c_lessequals(X2,X3,tc_nat)|~c_less(c_0,X1,tc_nat)|~c_lessequals(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5011, plain, (c_lessequals(X2,X3,tc_nat)|~c_less(c_0,X1,tc_nat)|~c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_3064, plain, (c_in(X1,c_Transitive__Closure_Otrancl(c_union(X2,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3))|~c_in(X1,X2,tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_4943, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1)|c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4931, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4937, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4925, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_5309, plain, (c_fst(c_Pair(X1,X2,X3,X4),X3,X4)=X1)).
% 7.70/1.50 cnf(i_0_5311, plain, (c_snd(c_Pair(X1,X2,X3,X4),X3,X4)=X2)).
% 7.70/1.50 cnf(i_0_5508, plain, (c_lessequals(X4,X2,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_SetInterval_OatLeastLessThan(X2,X3,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1)))).
% 7.70/1.50 cnf(i_0_5509, plain, (c_lessequals(X3,X5,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_SetInterval_OatLeastLessThan(X2,X3,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1)))).
% 7.70/1.50 cnf(i_0_4944, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4932, plain, (c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4938, plain, (c_lessequals(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4926, plain, (c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4945, plain, (c_lessequals(c_Numeral_Onumber__of(X4,X1),c_0,X1)|c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4933, plain, (c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4939, plain, (c_lessequals(c_Numeral_Onumber__of(X4,X1),c_0,X1)|c_less(c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4927, plain, (c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4271, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1))).
% 7.70/1.50 cnf(i_0_4934, plain, (c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4946, plain, (c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(X3,X2,X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4928, plain, (c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4940, plain, (c_less(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(X3,X2,X1)|~c_less(X2,X3,X1))).
% 7.70/1.50 cnf(i_0_4285, plain, (c_Numeral_Onumber__of(X2,X1)=c_1|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1))).
% 7.70/1.50 cnf(i_0_4876, plain, (c_less(c_0,c_divide(X2,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)|~class_Numeral_Onumber__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1))).
% 7.70/1.50 cnf(i_0_4339, plain, (~c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4880, plain, (c_lessequals(X2,c_0,X1)|c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4896, plain, (c_less(X2,c_0,X1)|c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4843, plain, (c_lessequals(c_0,X4,X1)|c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4859, plain, (c_less(c_0,X4,X1)|c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_5333, plain, (c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)))).
% 7.70/1.50 cnf(i_0_4948, plain, (c_plus(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)=c_times(c_Numeral_Onumber__of(X2,X1),c_plus(X3,X4,X1),X1)|~class_Ring__and__Field_Osemiring(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4947, plain, (c_minus(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)=c_times(c_Numeral_Onumber__of(X2,X1),c_minus(X3,X4,X1),X1)|~class_Ring__and__Field_Oring(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4893, plain, (c_plus(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)=c_times(c_plus(X2,X3,X1),c_Numeral_Onumber__of(X4,X1),X1)|~class_Ring__and__Field_Osemiring(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_4892, plain, (c_minus(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)=c_times(c_minus(X2,X3,X1),c_Numeral_Onumber__of(X4,X1),X1)|~class_Ring__and__Field_Oring(X1)|~class_Numeral_Onumber(X1))).
% 7.70/1.50 cnf(i_0_5295, plain, (c_lessequals(X3,X4,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~class_Power_Orecpower(X1)|~c_less(c_1,X2,X1)|~c_lessequals(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5300, plain, (c_less(X3,X4,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~class_Power_Orecpower(X1)|~c_less(c_1,X2,X1)|~c_less(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1))).
% 7.70/1.50 cnf(i_0_5793, plain, (c_insert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))|~c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4969, plain, (c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)=X1|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_3072, plain, (c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X3,X1,X4,X2),tc_prod(X4,X2))|~c_Wellfounded__Recursion_Owf(X3,X4)|~c_Wellfounded__Recursion_Owf(X1,X2))).
% 7.70/1.50 cnf(i_0_3070, plain, (c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X3,X1,X4,X2),tc_prod(X4,X2))|~c_Relation_Otrans(X3,X4)|~c_Relation_Otrans(X1,X2))).
% 7.70/1.50 cnf(i_0_5766, plain, (c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X1)),X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|~c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X1)),c_Message_Oanalz(X2),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_5747, plain, (c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent))=c_union(c_Message_Oparts(c_insert(X3,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X4),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4165, plain, (c_div(c_plus(X2,c_times(X3,X1,tc_nat),tc_nat),X1,tc_nat)=c_plus(X3,c_div(X2,X1,tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4167, plain, (c_div(c_plus(X2,c_times(X1,X3,tc_nat),tc_nat),X1,tc_nat)=c_plus(X3,c_div(X2,X1,tc_nat),tc_nat)|~c_less(c_0,X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4645, plain, (X1=X2|c_List_Onth(c_List_Olist__update(X3,X1,X4,X5),X2,X5)=c_List_Onth(X3,X2,X5))).
% 7.70/1.50 cnf(i_0_4244, plain, (c_GCD_Ogcd(c_Pair(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat,tc_nat))=c_1)).
% 7.70/1.50 cnf(i_0_4245, plain, (c_GCD_Ogcd(c_Pair(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X1,tc_nat,tc_nat))=c_1)).
% 7.70/1.50 cnf(i_0_4643, plain, (c_List_Onth(c_List_Odrop(X1,X3,X4),X2,X4)=c_List_Onth(X3,c_plus(X1,X2,tc_nat),X4)|~c_lessequals(c_plus(X1,X2,tc_nat),c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat))).
% 7.70/1.50 cnf(i_0_3024, plain, (c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3)=X1|~c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_4264, plain, (c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1))).
% 7.70/1.50 cnf(i_0_5254, plain, (c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)!=c_0|c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint)!=c_1)).
% 7.70/1.50 cnf(i_0_5672, plain, (c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))|~c_less(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5881, plain, (c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)|~c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))).
% 7.70/1.50 cnf(i_0_5657, plain, (c_Transitive__Closure_Otrancl(c_union(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),c_Relation_OId,tc_prod(X2,X2)),X2)=c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2))).
% 7.70/1.50 cnf(i_0_4228, plain, (c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))|~c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4267, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~class_Numeral_Onumber__ring(X1)|~c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1)|~c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1))).
% 7.70/1.50 cnf(i_0_5609, plain, (c_Relation_OImage(c_Relation_Odiag(X2,X3),c_insert(X1,X4,X3),X3,X3)!=c_emptyset|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5606, plain, (c_Relation_OImage(c_Relation_Odiag(X2,X3),c_insert(X1,X4,X3),X3,X3)!=c_emptyset|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_3026, plain, (c_in(c_Pair(X1,X1,X3,X3),c_Relation_Odiag(X2,X3),tc_prod(X3,X3))|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4644, plain, (c_List_Onth(c_List_Olist__update(X2,X1,X4,X3),X1,X3)=X4|~c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 7.70/1.50 cnf(i_0_4559, plain, (c_Nat_Osize(c_List_Ozip(X1,X2,X3,X4),tc_List_Olist(tc_prod(X3,X4)))=c_Orderings_Omin(c_Nat_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat))).
% 7.70/1.50 cnf(i_0_4841, plain, (c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4884, plain, (c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4857, plain, (c_less(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4900, plain, (c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_less(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4878, plain, (c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4847, plain, (c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4894, plain, (c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|~c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4863, plain, (c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|~c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_5520, plain, (c_uminus(c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),tc_set(X3))=c_union(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3))).
% 7.70/1.50 cnf(i_0_2976, plain, (c_in(c_Relation_OImage(c_Relation_Odiag(X3,X2),X1,X2,X2),c_Finite__Set_OFinites,tc_set(X2))|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_2975, plain, (c_in(c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),c_Finite__Set_OFinites,tc_set(X2))|~c_in(X1,c_Finite__Set_OFinites,tc_set(X2)))).
% 7.70/1.50 cnf(i_0_4252, plain, (c_GCD_Ogcd(c_Pair(X1,c_times(X1,X2,tc_nat),tc_nat,tc_nat))=X1)).
% 7.70/1.50 cnf(i_0_4503, plain, (c_List_Odistinct(c_append(X3,X1,X2),X2)|c_Relation_OImage(c_Relation_Odiag(c_List_Oset(X3,X2),X2),c_List_Oset(X1,X2),X2,X2)!=c_emptyset|~c_List_Odistinct(X3,X2)|~c_List_Odistinct(X1,X2))).
% 7.70/1.50 cnf(i_0_4402, plain, (c_IntDiv_OposDivAlg(c_Pair(c_0,X1,tc_IntDef_Oint,tc_IntDef_Oint))=c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4883, plain, (c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1)|~c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4899, plain, (c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4846, plain, (c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X2,X1)|~c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4862, plain, (c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)|c_less(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X2,X1)|~c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4885, plain, (c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)|c_lessequals(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1)|~c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4901, plain, (c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)|c_less(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4848, plain, (c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X3,X1)|~c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4864, plain, (c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X3,X1)|~c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_5879, plain, (c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)|~c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))).
% 7.70/1.50 cnf(i_0_4919, plain, (c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4401, plain, (c_IntDiv_OnegateSnd(c_Pair(X1,X2,tc_IntDef_Oint,tc_IntDef_Oint))=c_Pair(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_3058, plain, (c_in(c_Sum__Type_OInl(X1,X3,X4),c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4))|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_3059, plain, (c_in(c_Sum__Type_OInr(X1,X3,X4),c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4579, plain, (c_List_Olist__update(c_append(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize(X1,tc_List_Olist(X4)),X5,X4)=c_append(X1,c_List_Olist_OCons(X5,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_4921, plain, (c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)|c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)!=c_1)).
% 7.70/1.50 cnf(i_0_5553, plain, (c_in(X1,c_Relation_OImage(c_Relation_Odiag(X4,X3),X2,X3,X3),X3)|~c_in(X1,X4,X3)|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4895, plain, (c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|~c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4898, plain, (c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)|c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|~c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4879, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_lessequals(X4,c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4882, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_lessequals(X4,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4842, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4845, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4858, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_less(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4861, plain, (c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_less(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1))).
% 7.70/1.50 cnf(i_0_4929, plain, (c_lessequals(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4941, plain, (c_less(X2,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1)|~c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4923, plain, (c_lessequals(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1))).
% 7.70/1.50 cnf(i_0_4935, plain, (c_less(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)|~c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1))).
% 7.70/1.50 cnf(i_0_4930, plain, (c_lessequals(X4,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4942, plain, (c_less(X4,X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1)|~c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1))).
% 7.70/1.50 cnf(i_0_4924, plain, (c_lessequals(X4,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1))).
% 7.70/1.50 cnf(i_0_4936, plain, (c_less(X4,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~class_Numeral_Onumber(X1)|~c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1))).
% 7.70/1.50 cnf(i_0_4143, plain, (X2=X6|c_Datatype__Universe_OScons(X1,X2,X3,X4)!=c_Datatype__Universe_OScons(X5,X6,X3,X4))).
% 7.70/1.50 cnf(i_0_5308, plain, (X2=X6|c_Pair(X1,X2,X3,X4)!=c_Pair(X5,X6,X3,X4))).
% 7.70/1.50 cnf(i_0_4142, plain, (X1=X5|c_Datatype__Universe_OScons(X1,X2,X3,X4)!=c_Datatype__Universe_OScons(X5,X6,X3,X4))).
% 7.70/1.50 cnf(i_0_5307, plain, (X1=X5|c_Pair(X1,X2,X3,X4)!=c_Pair(X5,X6,X3,X4))).
% 7.70/1.50 cnf(i_0_4518, plain, (c_append(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_minus(X1,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4)=c_List_Odrop(X1,c_append(X2,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_4227, plain, (c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))|~c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)))).
% 7.70/1.50 cnf(i_0_5556, plain, (c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X4,X3),X2,X3,X3),tc_set(X3))|~c_lessequals(X1,X4,tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 7.70/1.50 cnf(i_0_4742, plain, (c_minus(X3,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat)=c_minus(c_plus(X3,X1,tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_4743, plain, (c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X2,X1,tc_nat),tc_nat),tc_nat),X3,tc_nat)=c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),c_plus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5625, plain, (c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X4,X3),X3),X2,X3,X3)!=c_emptyset|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_5622, plain, (c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X4,X3),X3),X2,X3,X3)!=c_emptyset|~c_in(X1,X2,X3))).
% 7.70/1.50 cnf(i_0_4562, plain, (c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_5611, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X3),c_insert(X4,X2,X3),X3,X3)=c_emptyset|c_in(X4,X1,X3)|c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5608, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X3),c_insert(X4,X2,X3),X3,X3)=c_emptyset|c_in(X4,X1,X3)|c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5822, plain, (c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5804, plain, (c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)=c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5610, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X4),X3,X4,X4)=c_emptyset|c_Relation_OImage(c_Relation_Odiag(X1,X4),c_insert(X2,X3,X4),X4,X4)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5607, plain, (c_Relation_OImage(c_Relation_Odiag(X1,X4),X3,X4,X4)=c_emptyset|c_Relation_OImage(c_Relation_Odiag(X1,X4),c_insert(X2,X3,X4),X4,X4)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4739, plain, (c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4)=c_Datatype_Ooption_ONone|c_in(X5,c_List_Oset(X1,X2),X2)|c_Nat_Osize(X1,tc_List_Olist(X2))!=c_Nat_Osize(X3,tc_List_Olist(X4)))).
% 7.70/1.50 cnf(i_0_2966, plain, (c_in(c_Datatype__Universe_OIn0(X1,X3,X4),c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))|~c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))))).
% 7.70/1.50 cnf(i_0_2967, plain, (c_in(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))|~c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))))).
% 7.70/1.50 cnf(i_0_4398, plain, (c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1,tc_IntDef_Oint,tc_IntDef_Oint))=c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5332, plain, (X1=X2|~c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_3065, plain, (c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(c_union(X3,c_Relation_OId,tc_prod(X2,X2)),X2),tc_prod(X2,X2)))).
% 7.70/1.50 cnf(i_0_4920, plain, (c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_1|~c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_5670, plain, (~c_Wellfounded__Recursion_Owf(X1,X2)|~c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)))).
% 7.70/1.50 cnf(i_0_5671, plain, (c_less(X1,X2,tc_nat)|~c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)))).
% 7.70/1.50 cnf(i_0_4582, plain, (c_Relation_OImage(c_Relation_Odiag(c_List_Olists(X1,X3),tc_List_Olist(X3)),c_List_Olists(X2,X3),tc_List_Olist(X3),tc_List_Olist(X3))=c_List_Olists(c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),X3))).
% 7.70/1.50 cnf(i_0_5569, plain, (c_Relation_OImage(c_Relation_Odiag(c_Pow(X1,X3),tc_set(X3)),c_Pow(X2,X3),tc_set(X3),tc_set(X3))=c_Pow(c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),X3))).
% 7.70/1.50 cnf(i_0_4820, plain, (c_Nat_Opower(c_uminus(X2,X1),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X1)=c_Nat_Opower(X2,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Power_Orecpower(X1))).
% 7.70/1.50 cnf(i_0_5627, plain, (c_Relation_OImage(c_Relation_Odiag(c_insert(X4,X1,X3),X3),X2,X3,X3)=c_emptyset|c_in(X4,X2,X3)|c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5624, plain, (c_Relation_OImage(c_Relation_Odiag(c_insert(X4,X1,X3),X3),X2,X3,X3)=c_emptyset|c_in(X4,X2,X3)|c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_4887, plain, (c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_0,X1)|~c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1))).
% 7.70/1.50 cnf(i_0_4903, plain, (c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(X2,c_0,X1)|~c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1))).
% 7.70/1.50 cnf(i_0_4850, plain, (c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_0,X3,X1)|~c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1))).
% 7.70/1.50 cnf(i_0_4866, plain, (c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_0,X3,X1)|~c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1))).
% 7.70/1.50 cnf(i_0_5552, plain, (c_in(X1,X3,X4)|~c_in(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),X4))).
% 7.70/1.50 cnf(i_0_5551, plain, (c_in(X1,X2,X4)|~c_in(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),X4))).
% 7.70/1.50 cnf(i_0_4403, plain, (c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))=c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5555, plain, (c_lessequals(X1,X3,tc_set(X4))|~c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),tc_set(X4)))).
% 7.70/1.50 cnf(i_0_5554, plain, (c_lessequals(X1,X2,tc_set(X4))|~c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),tc_set(X4)))).
% 7.70/1.50 cnf(i_0_5655, plain, (c_Transitive__Closure_Otrancl(c_union(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),c_Relation_OId,tc_prod(X2,X2)),X2)=c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2))).
% 7.70/1.50 cnf(i_0_4451, plain, (~c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))))).
% 7.70/1.50 cnf(i_0_4563, plain, (~c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))))).
% 7.70/1.50 cnf(i_0_4460, plain, (~c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))))).
% 7.70/1.50 cnf(i_0_3002, plain, (X1=c_List_Olist_ONil|~c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))))).
% 7.70/1.50 cnf(i_0_3001, plain, (X1=c_List_Olist_ONil|~c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))))).
% 7.70/1.50 cnf(i_0_4886, plain, (c_lessequals(X4,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)|~c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1))).
% 7.70/1.50 cnf(i_0_4902, plain, (c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|~c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1))).
% 7.70/1.50 cnf(i_0_4849, plain, (c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)|~c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)|~c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1))).
% 7.70/1.50 cnf(i_0_4865, plain, (c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)|~class_Numeral_Onumber(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)|~c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)|~c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1))).
% 7.70/1.50 cnf(i_0_2980, plain, (c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X2,tc_nat))).
% 7.70/1.50 cnf(i_0_2979, plain, (c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X1,tc_nat))).
% 7.70/1.50 cnf(i_0_4713, plain, (c_Numeral_Onumber__of(X1,tc_nat)=c_0|c_List_Olist_OCons(X2,c_List_Osublist(X3,c_SetInterval_OlessThan(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),tc_nat),X4),X4)=c_List_Osublist(c_List_Olist_OCons(X2,X3,X4),c_SetInterval_OlessThan(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),X4))).
% 7.70/1.50 cnf(i_0_5626, plain, (c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3)=c_emptyset|c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),X4,X3,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_5623, plain, (c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3)=c_emptyset|c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),X4,X3,X3)!=c_emptyset)).
% 7.70/1.50 cnf(i_0_3021, plain, (c_in(X2,c_Relation_ORange(X5,X3,X4),X4)|~c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)))).
% 7.70/1.50 cnf(i_0_3015, plain, (c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)|~c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)))).
% 7.70/1.50 cnf(i_0_4405, plain, (c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))=c_Pair(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4561, plain, (c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X1,X2),c_Main_Olexord__Nil__left__2(X1,X2),X2)=X1|~c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))))).
% 7.70/1.50 cnf(i_0_4580, plain, (c_List_Olist__update(c_List_Olist__update(X2,X1,X4,X3),X1,X5,X3)=c_List_Olist__update(X2,X1,X5,X3)|~c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 7.70/1.50 cnf(i_0_4737, plain, (c_List_Ozip(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X5,X6),X3,X6)=c_List_Oreplicate(c_Orderings_Omin(X1,X4,tc_nat),c_Pair(X2,X5,X3,X6),tc_prod(X3,X6)))).
% 7.70/1.50 cnf(i_0_5882, plain, (c_in(X5,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)|~c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))|~c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),X5)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))).
% 7.70/1.50 cnf(i_0_4248, plain, (c_GCD_Ogcd(c_Pair(X1,c_plus(X2,X1,tc_nat),tc_nat,tc_nat))=c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)))).
% 7.70/1.50 cnf(i_0_4247, plain, (c_GCD_Ogcd(c_Pair(X1,c_plus(X1,X2,tc_nat),tc_nat,tc_nat))=c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)))).
% 7.70/1.50 cnf(i_0_4246, plain, (c_GCD_Ogcd(c_Pair(c_plus(X1,X2,tc_nat),X2,tc_nat,tc_nat))=c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)))).
% 7.70/1.50 cnf(i_0_5631, plain, (c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),c_insert(X1,X4,X3),X3,X3)=c_insert(X1,c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3),X3))).
% 7.70/1.50 cnf(i_0_4251, plain, (c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat)|~c_Divides_Oop_Advd(X1,X3,tc_nat)|~c_Divides_Oop_Advd(X1,X2,tc_nat))).
% 7.70/1.50 cnf(i_0_5322, plain, (c_Relation_Orel__comp(X1,c_Relation_OId,X2,X3,X2)=X1)).
% 7.70/1.50 cnf(i_0_5316, plain, (c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3)=X1)).
% 7.70/1.50 cnf(i_0_5819, plain, (c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)=c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_5801, plain, (c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)=c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)))).
% 7.70/1.50 cnf(i_0_4716, plain, (c_append(c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X4),c_List_Osublist(X3,c_SetInterval_OlessThan(c_minus(X1,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),tc_nat),X4),X4)=c_List_Osublist(c_append(X2,X3,X4),c_SetInterval_OlessThan(X1,tc_nat),X4))).
% 7.70/1.50 cnf(i_0_4392, plain, (c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)=c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4382, plain, (c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)=c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4650, plain, (c_List_Onth(c_List_Ozip(X4,X2,X5,X3),X1,tc_prod(X5,X3))=c_Pair(c_List_Onth(X4,X1,X5),c_List_Onth(X2,X1,X3),X5,X3)|~c_less(X1,c_Nat_Osize(X4,tc_List_Olist(X5)),tc_nat)|~c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 7.70/1.50 cnf(i_0_4738, plain, (c_Nat_Osize(X2,tc_List_Olist(X3))!=c_Nat_Osize(X4,tc_List_Olist(X5))|c_Map_Omap__of(c_List_Ozip(X2,X4,X3,X5),X1,X3,X5)!=c_Datatype_Ooption_ONone|~c_in(X1,c_List_Oset(X2,X3),X3))).
% 7.70/1.50 cnf(i_0_4394, plain, (c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))=c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4829, plain, (c_div(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_Finite__Set_Ocard(c_SetInterval_OatMost(c_div(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4149, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Datatype__Universe_OIn0(X2,X3,X4),X3,X4)=c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3,X4),X3,X4))).
% 7.70/1.50 cnf(i_0_4150, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Datatype__Universe_OIn1(X2,X3,X4),X3,X4)=c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3,X4),X3,X4))).
% 7.70/1.50 cnf(i_0_2961, plain, (c_in(c_Datatype__Universe_OScons(X5,X1,X3,X4),c_Datatype__Universe_Ouprod(X6,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))|~c_in(X5,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))|~c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))))).
% 7.70/1.50 cnf(i_0_3066, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_4734, plain, (c_List_Olist_OCons(c_Pair(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6))=c_List_Ozip(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X6),X3,X6))).
% 7.70/1.50 cnf(i_0_3023, plain, (c_Pair(c_Main_OconverseE__2(X2,X1,X3,X4),c_Main_OconverseE__1(X2,X1,X3,X4),X4,X3)=X1|~c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)))).
% 7.70/1.50 cnf(i_0_3019, plain, (c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)|~c_in(X1,X2,X3)|~c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)))).
% 7.70/1.50 cnf(i_0_4393, plain, (c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)=c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4383, plain, (c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)=c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4389, plain, (c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)=c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4379, plain, (c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)=c_div(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4396, plain, (c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))=c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5330, plain, (c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3))|~c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)))).
% 7.70/1.50 cnf(i_0_4132, plain, (c_Datatype__Universe_Ouprod(c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4)=c_Relation_ODomain(c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))).
% 7.70/1.50 cnf(i_0_4133, plain, (c_Datatype__Universe_Ousum(c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4)=c_Relation_ODomain(c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))).
% 7.70/1.50 cnf(i_0_5336, plain, (c_Nat_Opower(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_set(tc_prod(X3,X3)))=c_Relation_Orel__comp(X1,c_Nat_Opower(X1,X2,tc_set(tc_prod(X3,X3))),X3,X3,X3))).
% 7.70/1.50 cnf(i_0_5329, plain, (c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3))|~c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4)))).
% 7.70/1.50 cnf(i_0_4736, plain, (c_append(c_List_Ozip(X5,X6,X2,X4),c_List_Ozip(X1,X3,X2,X4),tc_prod(X2,X4))=c_List_Ozip(c_append(X5,X1,X2),c_append(X6,X3,X4),X2,X4)|c_Nat_Osize(X5,tc_List_Olist(X2))!=c_Nat_Osize(X6,tc_List_Olist(X4))|c_Nat_Osize(X1,tc_List_Olist(X2))!=c_Nat_Osize(X3,tc_List_Olist(X4)))).
% 7.70/1.50 cnf(i_0_5321, plain, (c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4)|~c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)))).
% 7.70/1.50 cnf(i_0_4250, plain, (c_Divides_Oop_Advd(X1,X3,tc_nat)|~c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat))).
% 7.70/1.50 cnf(i_0_4249, plain, (c_Divides_Oop_Advd(X1,X2,tc_nat)|~c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat))).
% 7.70/1.50 cnf(i_0_4447, plain, (X1=X4|c_Nat_Osize(X2,tc_List_Olist(X3))=c_Nat_Osize(X5,tc_List_Olist(X3))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_5320, plain, (c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5))|~c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5))).
% 7.70/1.50 cnf(i_0_3014, plain, (c_in(c_Pair(X1,c_Main_ODomainE__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))|~c_in(X1,c_Relation_ODomain(X2,X3,X4),X3))).
% 7.70/1.50 cnf(i_0_3020, plain, (c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4))|~c_in(X1,c_Relation_ORange(X2,X3,X4),X4))).
% 7.70/1.50 cnf(i_0_5667, plain, (c_Wellfounded__Recursion_Owf(X4,X3)|~c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3))).
% 7.70/1.50 cnf(i_0_5664, plain, (c_Wellfounded__Recursion_Oacyclic(X4,X3)|~c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3))).
% 7.70/1.50 cnf(i_0_3067, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_4922, plain, (c_Divides_Oop_Amod(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)=c_Divides_Oop_Amod(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4830, plain, (c_div(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)=c_div(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4566, plain, (c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|~c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_4825, plain, (c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)=c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_4824, plain, (c_div(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)=c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat))).
% 7.70/1.50 cnf(i_0_3063, plain, (c_in(c_Main_OPlusE__1(X2,X1,X4,X5),X2,X4)|c_in(c_Main_OPlusE__2(X3,X1,X5,X4),X3,X5)|~c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)))).
% 7.70/1.50 cnf(i_0_3061, plain, (c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X4,X5),X4,X5)=X1|c_in(c_Main_OPlusE__2(X3,X1,X5,X4),X3,X5)|~c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)))).
% 7.70/1.50 cnf(i_0_3062, plain, (c_Sum__Type_OInr(c_Main_OPlusE__2(X3,X1,X5,X4),X5,X4)=X1|c_in(c_Main_OPlusE__1(X2,X1,X4,X5),X2,X4)|~c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)))).
% 7.70/1.50 cnf(i_0_3060, plain, (c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X4,X5),X4,X5)=X1|c_Sum__Type_OInr(c_Main_OPlusE__2(X3,X1,X5,X4),X5,X4)=X1|~c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)))).
% 7.70/1.50 cnf(i_0_4314, plain, (c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))=c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))|~c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))))).
% 7.70/1.50 cnf(i_0_4449, plain, (c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|c_Nat_Osize(X5,tc_List_Olist(X3))!=c_Nat_Osize(X6,tc_List_Olist(X3))|~c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_4153, plain, (c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_OScons(X2,X3,X4,X5),X4,X5)=c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(X1,X2,X4,X5),c_Datatype__Universe_Ontrunc(X1,X3,X4,X5),X4,X5))).
% 7.70/1.50 cnf(i_0_5656, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),X2,X2,X2)=c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2))).
% 7.70/1.50 cnf(i_0_2962, plain, (c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X4,X5),X4,X5)=X1|c_Datatype__Universe_OIn1(c_Main_OusumE__2(X3,X1,X4,X5),X4,X5)=X1|~c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))))).
% 7.70/1.50 cnf(i_0_4313, plain, (c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))|c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))!=c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))).
% 7.70/1.50 cnf(i_0_5669, plain, (c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)|c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),tc_prod(X2,X2))|~c_Wellfounded__Recursion_Owf(X1,X2))).
% 7.70/1.50 cnf(i_0_5666, plain, (c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)|c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),tc_prod(X2,X2))|~c_Wellfounded__Recursion_Oacyclic(X1,X2))).
% 7.70/1.50 cnf(i_0_4450, plain, (c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X5,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|~c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_4567, plain, (c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X5,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|~c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_2963, plain, (c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X4,X5),X4,X5)=X1|c_in(c_Main_OusumE__2(X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))|~c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))))).
% 7.70/1.50 cnf(i_0_2964, plain, (c_Datatype__Universe_OIn1(c_Main_OusumE__2(X3,X1,X4,X5),X4,X5)=X1|c_in(c_Main_OusumE__1(X2,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))|~c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))))).
% 7.70/1.50 cnf(i_0_2965, plain, (c_in(c_Main_OusumE__1(X2,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))|c_in(c_Main_OusumE__2(X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))|~c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))))).
% 7.70/1.50 cnf(i_0_4445, plain, (X1=X4|c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_4564, plain, (X1=X4|c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_4448, plain, (c_Nat_Osize(X2,tc_List_Olist(X3))=c_Nat_Osize(X5,tc_List_Olist(X3))|c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_3022, plain, (c_in(c_Pair(c_Main_OconverseE__1(X2,X1,X3,X4),c_Main_OconverseE__2(X2,X1,X3,X4),X3,X4),X2,tc_prod(X3,X4))|~c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)))).
% 7.70/1.50 cnf(i_0_4328, plain, (c_in(c_Pair(c_Pair(X1,X4,tc_nat,tc_nat),c_Pair(X3,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))|c_plus(X1,X2,tc_nat)!=c_plus(X3,X4,tc_nat))).
% 7.70/1.50 cnf(i_0_4326, plain, (c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X1,X2,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))))).
% 7.70/1.50 cnf(i_0_4446, plain, (c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))|c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_4565, plain, (c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))|c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_4390, plain, (c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)=c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4380, plain, (c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)=c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_5668, plain, (~c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_5665, plain, (~c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3)))).
% 7.70/1.50 cnf(i_0_3017, plain, (c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)|~c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5))).
% 7.70/1.50 cnf(i_0_4391, plain, (c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)=c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4381, plain, (c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)=c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4388, plain, (c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)=c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4378, plain, (c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)=c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)|~c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint)|~c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_2960, plain, (c_in(c_Main_OuprodE__1(X2,X3,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))|~c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))))).
% 7.70/1.50 cnf(i_0_2959, plain, (c_in(c_Main_OuprodE__2(X2,X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))|~c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))))).
% 7.70/1.50 cnf(i_0_4404, plain, (c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))=c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))|c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_2956, plain, (c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X3,X4),c_Datatype__Universe_OIn0(X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odsum(X5,X6,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))|~c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))))).
% 7.70/1.50 cnf(i_0_2957, plain, (c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_OIn1(X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odsum(X6,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))|~c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))))).
% 7.70/1.50 cnf(i_0_4395, plain, (c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))=c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))|c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4406, plain, (c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))=c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))|c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4397, plain, (c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))=c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))|c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)|~c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))).
% 7.70/1.50 cnf(i_0_4327, plain, (c_plus(X1,X4,tc_nat)=c_plus(X3,X2,tc_nat)|~c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X3,X4,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))))).
% 7.70/1.50 cnf(i_0_3030, plain, (c_in(c_Pair(X6,X2,X7,X4),c_Relation_Orel__comp(X5,X8,X3,X4,X7),tc_prod(X7,X4))|~c_in(c_Pair(X6,X1,X7,X3),X8,tc_prod(X7,X3))|~c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)))).
% 7.70/1.50 cnf(i_0_2958, plain, (c_Datatype__Universe_OScons(c_Main_OuprodE__1(X2,X3,X1,X4,X5),c_Main_OuprodE__2(X2,X3,X1,X4,X5),X4,X5)=X1|~c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))))).
% 7.70/1.50 cnf(i_0_2998, plain, (c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X1,X2,X3,X4),c_Main_Olistrel__Cons2__2(X5,X1,X2,X3,X4),X4)=X1|~c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))))).
% 7.70/1.50 cnf(i_0_2995, plain, (c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X4,X1,X2,X3),c_Main_Olistrel__Cons1__2(X5,X4,X1,X2,X3),X3)=X4|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_3018, plain, (c_in(c_Pair(c_Main_OImageE__1(X3,X1,X2,X4,X5),X1,X4,X5),X2,tc_prod(X4,X5))|~c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5))).
% 7.70/1.50 cnf(i_0_2952, plain, (c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))=X1|c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X3,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X3,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))=X1|~c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))))).
% 7.70/1.50 cnf(i_0_2997, plain, (c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X5,X4,X1,X2,X3),X3,X3),X5,tc_prod(X3,X3))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_3000, plain, (c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X1,X2,X3,X4),X2,X4,X4),X5,tc_prod(X4,X4))|~c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))))).
% 7.70/1.50 cnf(i_0_2951, plain, (c_in(c_Pair(c_Datatype__Universe_OScons(X6,X1,X3,X4),c_Datatype__Universe_OScons(X7,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X8,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))|~c_in(c_Pair(X6,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))|~c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))))).
% 7.70/1.50 cnf(i_0_2996, plain, (c_in(c_Pair(X2,c_Main_Olistrel__Cons1__2(X5,X4,X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))|~c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))))).
% 7.70/1.50 cnf(i_0_2999, plain, (c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X1,X2,X3,X4),X3,tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))|~c_in(c_Pair(X1,c_List_Olist_OCons(X2,X3,X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))))).
% 7.70/1.50 cnf(i_0_2953, plain, (c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))=X1|c_in(c_Pair(c_Main_OdsumE__3(X3,X1,X4,X5),c_Main_OdsumE__4(X3,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))|~c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))))).
% 7.70/1.50 cnf(i_0_2954, plain, (c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X3,X1,X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X3,X1,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))=X1|c_in(c_Pair(c_Main_OdsumE__1(X2,X1,X4,X5),c_Main_OdsumE__2(X2,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))|~c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))))).
% 7.70/1.50 cnf(i_0_2955, plain, (c_in(c_Pair(c_Main_OdsumE__1(X2,X1,X4,X5),c_Main_OdsumE__2(X2,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))|c_in(c_Pair(c_Main_OdsumE__3(X3,X1,X4,X5),c_Main_OdsumE__4(X3,X1,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))|~c_in(X1,c_Datatype__Universe_Odsum(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))))).
% 7.70/1.50 cnf(i_0_2950, plain, (c_in(c_Pair(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__3(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))|~c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))))).
% 7.70/1.50 cnf(i_0_2949, plain, (c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))|~c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))))).
% 7.70/1.50 cnf(i_0_2948, plain, (c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X1,X2,X3,X4,X5),c_Main_OdprodE__2(X1,X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))=X1|~c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))))).
% 7.70/1.50 cnf(i_0_5885, negated_conjecture, (c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))).
% 7.70/1.50 cnf(i_0_3029, plain, (c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X6,X5)=X1|~c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)))).
% 7.70/1.50 cnf(i_0_3027, plain, (c_in(c_Pair(c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X4,X5),X2,tc_prod(X4,X5))|~c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)))).
% 7.70/1.50 cnf(i_0_3028, plain, (c_in(c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),X6,X4),X3,tc_prod(X6,X4))|~c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)))).
% 7.70/1.50 cnf(i_0_4586, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble9,X17)=X10)).
% 7.70/1.50 cnf(i_0_4587, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleA,X17)=X11)).
% 7.70/1.50 cnf(i_0_4588, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleB,X17)=X12)).
% 7.70/1.50 cnf(i_0_4589, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleC,X17)=X13)).
% 7.70/1.50 cnf(i_0_4590, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleD,X17)=X14)).
% 7.70/1.50 cnf(i_0_4591, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleE,X17)=X15)).
% 7.70/1.50 cnf(i_0_4592, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleF,X17)=X16)).
% 7.70/1.50 cnf(i_0_4593, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble0,X17)=X1)).
% 7.70/1.50 cnf(i_0_4594, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble1,X17)=X2)).
% 7.70/1.50 cnf(i_0_4595, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble2,X17)=X3)).
% 7.70/1.50 cnf(i_0_4596, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble3,X17)=X4)).
% 7.70/1.50 cnf(i_0_4597, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble4,X17)=X5)).
% 7.70/1.50 cnf(i_0_4598, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble5,X17)=X6)).
% 7.70/1.50 cnf(i_0_4599, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble6,X17)=X7)).
% 7.70/1.50 cnf(i_0_4600, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble7,X17)=X8)).
% 7.70/1.50 cnf(i_0_4601, plain, (c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble8,X17)=X9)).
% 7.70/1.50 cnf(i_0_4602, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble9,X17)=X10)).
% 7.70/1.50 cnf(i_0_4603, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleA,X17)=X11)).
% 7.70/1.50 cnf(i_0_4604, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleB,X17)=X12)).
% 7.70/1.50 cnf(i_0_4605, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleC,X17)=X13)).
% 7.70/1.50 cnf(i_0_4606, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleD,X17)=X14)).
% 7.70/1.50 cnf(i_0_4607, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleE,X17)=X15)).
% 7.70/1.50 cnf(i_0_4608, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleF,X17)=X16)).
% 7.70/1.50 cnf(i_0_4609, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble0,X17)=X1)).
% 7.70/1.50 cnf(i_0_4610, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble1,X17)=X2)).
% 7.70/1.50 cnf(i_0_4611, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble2,X17)=X3)).
% 7.70/1.50 cnf(i_0_4612, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble3,X17)=X4)).
% 7.70/1.50 cnf(i_0_4613, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble4,X17)=X5)).
% 7.70/1.50 cnf(i_0_4614, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble5,X17)=X6)).
% 7.70/1.50 cnf(i_0_4615, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble6,X17)=X7)).
% 7.70/1.50 cnf(i_0_4616, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble7,X17)=X8)).
% 7.70/1.50 cnf(i_0_4617, plain, (c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble8,X17)=X9)).
% 7.70/1.50 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 7.70/1.50 # Begin printing tableau
% 7.70/1.50 # Found 5 steps
% 7.70/1.50 cnf(i_0_5887, negated_conjecture, (c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)), inference(start_rule)).
% 7.70/1.50 cnf(i_0_5892, plain, (c_in(v_A,c_Event_Obad,tc_Message_Oagent)), inference(closure_rule, [i_0_5886])).
% 7.70/1.50 cnf(i_0_5893, plain, (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)), inference(extension_rule, [i_0_5712])).
% 7.70/1.50 cnf(i_0_8516, plain, (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)), inference(extension_rule, [i_0_5528])).
% 7.70/1.50 cnf(i_0_11148, plain, (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_uminus(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_set(tc_Message_Omsg)),tc_Message_Omsg)), inference(etableau_closure_rule, [i_0_11148, ...])).
% 7.70/1.50 # End printing tableau
% 7.70/1.50 # SZS output end
% 7.70/1.50 # Branches closed with saturation will be marked with an "s"
% 7.98/1.51 # Child (18148) has found a proof.
% 7.98/1.51
% 7.98/1.51 # Proof search is over...
% 7.98/1.51 # Freeing feature tree
%------------------------------------------------------------------------------