TSTP Solution File: LCL837-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL837-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Sun Jul 17 10:25:53 EDT 2022
% Result : Unsatisfiable 2.14s 0.77s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL837-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % 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 : Sat Jul 2 12:01:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # No SInE strategy applied
% 0.19/0.46 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 0.19/0.46 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.46 #
% 0.19/0.46 # Number of axioms: 654 Number of unprocessed: 654
% 0.19/0.46 # Tableaux proof search.
% 0.19/0.46 # APR header successfully linked.
% 0.19/0.46 # Hello from C++
% 0.19/0.47 # The folding up rule is enabled...
% 0.19/0.47 # Local unification is enabled...
% 0.19/0.47 # Any saturation attempts will use folding labels...
% 0.19/0.47 # 654 beginning clauses after preprocessing and clausification
% 0.19/0.47 # Creating start rules for all 1 conjectures.
% 0.19/0.47 # There are 1 start rule candidates:
% 0.19/0.47 # Found 162 unit axioms.
% 0.19/0.47 # 1 start rule tableaux created.
% 0.19/0.47 # 492 extension rule candidate clauses
% 0.19/0.47 # 162 unit axiom clauses
% 0.19/0.47
% 0.19/0.47 # Requested 8, 32 cores available to the main process.
% 0.19/0.47 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.47 # Returning from population with 15 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.47 # We now have 15 tableaux to operate on
% 2.14/0.77 # There were 2 total branch saturation attempts.
% 2.14/0.77 # There were 0 of these attempts blocked.
% 2.14/0.77 # There were 0 deferred branch saturation attempts.
% 2.14/0.77 # There were 0 free duplicated saturations.
% 2.14/0.77 # There were 2 total successful branch saturations.
% 2.14/0.77 # There were 0 successful branch saturations in interreduction.
% 2.14/0.77 # There were 0 successful branch saturations on the branch.
% 2.14/0.77 # There were 2 successful branch saturations after the branch.
% 2.14/0.77 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/0.77 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/0.77 # Begin clausification derivation
% 2.14/0.77
% 2.14/0.77 # End clausification derivation
% 2.14/0.77 # Begin listing active clauses obtained from FOF to CNF conversion
% 2.14/0.77 cnf(i_0_1298, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 2.14/0.77 cnf(i_0_1289, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 2.14/0.77 cnf(i_0_1302, plain, (class_Ring__and__Field_Osemiring(tc_nat))).
% 2.14/0.77 cnf(i_0_1285, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1304, plain, (class_Divides_Osemiring__div(tc_nat))).
% 2.14/0.77 cnf(i_0_1301, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 2.14/0.77 cnf(i_0_1290, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 2.14/0.77 cnf(i_0_1293, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1295, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1309, plain, (class_Orderings_Oorder(tc_nat))).
% 2.14/0.77 cnf(i_0_1307, plain, (class_Orderings_Opreorder(tc_nat))).
% 2.14/0.77 cnf(i_0_1310, plain, (class_Power_Opower(tc_nat))).
% 2.14/0.77 cnf(i_0_1306, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 2.14/0.77 cnf(i_0_1292, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 2.14/0.77 cnf(i_0_1305, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 2.14/0.77 cnf(i_0_1286, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1287, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1284, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))).
% 2.14/0.77 cnf(i_0_1283, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))).
% 2.14/0.77 cnf(i_0_1296, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 2.14/0.77 cnf(i_0_1288, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 2.14/0.77 cnf(i_0_1300, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 2.14/0.77 cnf(i_0_1308, plain, (class_Orderings_Olinorder(tc_nat))).
% 2.14/0.77 cnf(i_0_1281, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1303, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1299, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 2.14/0.77 cnf(i_0_1297, plain, (class_OrderedGroup_Osemigroup__add(tc_nat))).
% 2.14/0.77 cnf(i_0_1282, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 2.14/0.77 cnf(i_0_1291, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 2.14/0.77 cnf(i_0_1294, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))).
% 2.14/0.77 cnf(i_0_747, plain, (c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(X1))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_877, plain, (c_Lambda_OdB_OAbs(X2)!=c_Lambda_OdB_OVar(X1))).
% 2.14/0.77 cnf(i_0_1132, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))).
% 2.14/0.77 cnf(i_0_1130, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 2.14/0.77 cnf(i_0_899, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 2.14/0.77 cnf(i_0_871, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 2.14/0.77 cnf(i_0_983, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 2.14/0.77 cnf(i_0_1141, plain, (c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(X1),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1275, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_u____)))).
% 2.14/0.77 cnf(i_0_1180, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_ua______)))).
% 2.14/0.77 cnf(i_0_1256, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_a____)))).
% 2.14/0.77 cnf(i_0_659, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 2.14/0.77 cnf(i_0_1193, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 2.14/0.77 cnf(i_0_953, plain, (~c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X2))).
% 2.14/0.77 cnf(i_0_1280, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 2.14/0.77 cnf(i_0_1279, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 2.14/0.77 cnf(i_0_1179, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))).
% 2.14/0.77 cnf(i_0_851, plain, (c_Lambda_Obeta(c_Lambda_OdB_OAbs(X1),c_Lambda_OdB_OAbs(X2))|~c_Lambda_Obeta(X1,X2))).
% 2.14/0.77 cnf(i_0_1148, plain, (c_Type_Otyping(v_e____,v_u____,v_T____))).
% 2.14/0.77 cnf(i_0_1024, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 2.14/0.77 cnf(i_0_1026, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 2.14/0.77 cnf(i_0_949, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1025, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)=X1)).
% 2.14/0.77 cnf(i_0_767, plain, (X2=X3|c_Nat_Osemiring__1__class_Oof__nat(X2,X1)!=c_Nat_Osemiring__1__class_Oof__nat(X3,X1)|~class_Nat_Osemiring__char__0(X1))).
% 2.14/0.77 cnf(i_0_1313, plain, (c_fequal(X1,X1,X2))).
% 2.14/0.77 cnf(i_0_732, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 2.14/0.77 cnf(i_0_731, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 2.14/0.77 cnf(i_0_1209, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Oone__class_Oone(tc_nat))).
% 2.14/0.77 cnf(i_0_1019, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1001, plain, (c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)).
% 2.14/0.77 cnf(i_0_1007, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_975, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 2.14/0.77 cnf(i_0_1008, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_778, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1005, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_734, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))).
% 2.14/0.77 cnf(i_0_759, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 2.14/0.77 cnf(i_0_803, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 2.14/0.77 cnf(i_0_948, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1126, plain, (c_HOL_Otimes__class_Otimes(X2,X2,X1)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 2.14/0.77 cnf(i_0_1053, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 2.14/0.77 cnf(i_0_1052, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 2.14/0.77 cnf(i_0_1058, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OVar(X3))).
% 2.14/0.77 cnf(i_0_1051, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OAbs(X3))).
% 2.14/0.77 cnf(i_0_979, plain, (c_Divides_Odiv__class_Omod(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_879, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_878, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1195, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X1)),c_HOL_Oone__class_Oone(tc_nat))=X1)).
% 2.14/0.77 cnf(i_0_1216, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(X1)),c_HOL_Oone__class_Oone(tc_nat))=X1)).
% 2.14/0.77 cnf(i_0_1222, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(X1)),c_HOL_Oone__class_Oone(tc_nat))=X1)).
% 2.14/0.77 cnf(i_0_991, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_988, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 2.14/0.77 cnf(i_0_990, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 2.14/0.77 cnf(i_0_870, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_973, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_728, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_727, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_980, plain, (c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_853, plain, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Oone__class_Oone(X1),X1)=X2|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_729, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_726, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_733, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_730, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 2.14/0.77 cnf(i_0_1077, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_976, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Power_Opower(X1))).
% 2.14/0.77 cnf(i_0_722, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X2,X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_868, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_865, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 2.14/0.77 cnf(i_0_867, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 2.14/0.77 cnf(i_0_916, plain, (c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_875, plain, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_863, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_869, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_864, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 2.14/0.77 cnf(i_0_866, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 2.14/0.77 cnf(i_0_683, plain, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_981, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_876, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_985, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_992, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_986, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 2.14/0.77 cnf(i_0_989, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 2.14/0.77 cnf(i_0_987, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.14/0.77 cnf(i_0_959, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 2.14/0.77 cnf(i_0_1015, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=X1)).
% 2.14/0.77 cnf(i_0_1016, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=X1)).
% 2.14/0.77 cnf(i_0_1259, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=X1)).
% 2.14/0.77 cnf(i_0_1260, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=X1)).
% 2.14/0.77 cnf(i_0_1010, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1011, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1271, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1272, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1262, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1263, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_982, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 2.14/0.77 cnf(i_0_993, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 2.14/0.77 cnf(i_0_1181, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 2.14/0.77 cnf(i_0_1191, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 2.14/0.77 cnf(i_0_920, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_921, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_668, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))).
% 2.14/0.77 cnf(i_0_1314, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 2.14/0.77 cnf(i_0_1021, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1022, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1157, plain, (X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1156, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_677, plain, (X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 2.14/0.77 cnf(i_0_658, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 2.14/0.77 cnf(i_0_763, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))).
% 2.14/0.77 cnf(i_0_1131, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_909, plain, (X2=c_HOL_Oone__class_Oone(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 2.14/0.77 cnf(i_0_1000, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_922, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 2.14/0.77 cnf(i_0_924, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 2.14/0.77 cnf(i_0_923, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 2.14/0.77 cnf(i_0_1009, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1190, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 2.14/0.77 cnf(i_0_977, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 2.14/0.77 cnf(i_0_719, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X1))).
% 2.14/0.77 cnf(i_0_978, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.14/0.77 cnf(i_0_862, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1))).
% 2.14/0.77 cnf(i_0_704, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_984, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_935, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_940, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_872, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1))).
% 2.14/0.77 cnf(i_0_873, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1))).
% 2.14/0.77 cnf(i_0_874, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 2.14/0.77 cnf(i_0_768, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))).
% 2.14/0.77 cnf(i_0_1075, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2)).
% 2.14/0.77 cnf(i_0_1217, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_761, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_765, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_762, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 2.14/0.77 cnf(i_0_996, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_997, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_898, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_703, plain, (c_HOL_Otimes__class_Otimes(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X3,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_705, plain, (c_HOL_Otimes__class_Otimes(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X3,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1265, plain, (X2=X4|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 2.14/0.77 cnf(i_0_1264, plain, (X1=X3|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 2.14/0.77 cnf(i_0_929, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 2.14/0.77 cnf(i_0_930, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 2.14/0.77 cnf(i_0_941, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 2.14/0.77 cnf(i_0_942, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 2.14/0.77 cnf(i_0_943, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 2.14/0.77 cnf(i_0_1192, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 2.14/0.77 cnf(i_0_861, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 2.14/0.77 cnf(i_0_998, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__List__Xlexn__Xinduct__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_1006, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_1017, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__List__Xreplicate__Xinduct__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_1018, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__Nat__Xnat__Xinducts__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_1020, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__Nat__Xnat__Xinduct__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_1023, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__List__Xupt__Xinduct__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_806, plain, (hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X1)),X2)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_919, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=X1|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_791, plain, (c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_796, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_779, plain, (X2=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3))).
% 2.14/0.77 cnf(i_0_781, plain, (X2=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3))).
% 2.14/0.77 cnf(i_0_780, plain, (X1=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2))).
% 2.14/0.77 cnf(i_0_797, plain, (c_Lambda_Oliftn(X1,c_Lambda_OdB_OVar(X2),X3)=c_Lambda_OdB_OVar(X2)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1035, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1036, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_999, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X1))))).
% 2.14/0.77 cnf(i_0_672, plain, (c_Divides_Odiv__class_Omod(X2,X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1))).
% 2.14/0.77 cnf(i_0_1227, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1228, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_673, plain, (c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1267, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1268, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1129, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1223, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1235, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=X1)).
% 2.14/0.77 cnf(i_0_1203, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_1122, plain, (c_Type_Otyping(X1,X2,X3)|~c_Lambda_Obeta(X4,X2)|~c_Type_Otyping(X1,X4,X3))).
% 2.14/0.77 cnf(i_0_1208, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_681, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2|c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_850, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1196, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1206, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 2.14/0.77 cnf(i_0_723, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_724, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_725, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Odvd(X1))).
% 2.14/0.77 cnf(i_0_711, plain, (X1=X3|hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X3)=c_Lambda_OdB_OVar(X1)|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_931, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_932, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_933, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_934, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_937, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_938, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_939, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1127, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1128, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_769, plain, (c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1013, plain, (X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1014, plain, (X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1012, plain, (X1=X3|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_783, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 2.14/0.77 cnf(i_0_784, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 2.14/0.77 cnf(i_0_785, plain, (X2=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 2.14/0.77 cnf(i_0_907, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)=X2|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_908, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)=X3|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1194, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 2.14/0.77 cnf(i_0_966, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1)),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 2.14/0.77 cnf(i_0_1155, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(X1)))).
% 2.14/0.77 cnf(i_0_1171, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_1175, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_1176, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_1172, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_1182, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X1),X2),hAPP(hAPP(c_Lambda_Olift,X3),X2))|~c_Lambda_Obeta(X1,X3))).
% 2.14/0.77 cnf(i_0_1055, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))|~c_Lambda_Obeta(X1,X3))).
% 2.14/0.77 cnf(i_0_1054, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3))|~c_Lambda_Obeta(X2,X3))).
% 2.14/0.77 cnf(i_0_782, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.14/0.77 cnf(i_0_971, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_766, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_936, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X3,tc_nat)|hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 2.14/0.77 cnf(i_0_954, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1096, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X3)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_972, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1))).
% 2.14/0.77 cnf(i_0_1047, plain, (c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1045, plain, (c_HOL_Oord__class_Oless(X1,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_684, plain, (hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X1)),X2)=c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_721, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Power_Opower__class_Opower(X2,X3,tc_nat),X1)=c_Power_Opower__class_Opower(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X3,X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 2.14/0.77 cnf(i_0_838, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 2.14/0.77 cnf(i_0_663, plain, (c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_Nat_Osemiring__1__class_Oof__nat(X2,X1))|~class_Ring__and__Field_Osemiring__1(X1))).
% 2.14/0.77 cnf(i_0_925, plain, (c_Lambda_Oliftn(X1,c_Lambda_OdB_OVar(X2),X3)=c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))|c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1266, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X1),X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 2.14/0.77 cnf(i_0_1224, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1198, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1232, plain, (c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1233, plain, (c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1083, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1084, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X2,X1)=c_Divides_Odiv__class_Omod(X3,X2,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_795, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(X1,tc_Lambda_OdB)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(X1),tc_Lambda_OdB))).
% 2.14/0.77 cnf(i_0_1230, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X2=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1231, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1225, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X2=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 2.14/0.77 cnf(i_0_1226, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 2.14/0.77 cnf(i_0_951, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_968, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(X2,X3,X1)|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 2.14/0.77 cnf(i_0_720, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1103, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1102, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1212, plain, (X2=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1213, plain, (X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_750, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_753, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_749, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_752, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_918, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_770, plain, (c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_955, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1))).
% 2.14/0.77 cnf(i_0_1200, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|c_Power_Opower__class_Opower(X1,X2,tc_nat)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_901, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 2.14/0.77 cnf(i_0_1031, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_699, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_700, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_947, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_855, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_856, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1248, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 2.14/0.77 cnf(i_0_1140, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)),c_Nat_Osemiring__1__class_Oof__nat(X3,X1))=c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 2.14/0.77 cnf(i_0_682, plain, (c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_735, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X2,tc_nat)=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_736, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X1,tc_nat)=X2|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_891, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_712, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_713, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_776, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1092, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_1091, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_805, plain, (c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1)=X3|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_804, plain, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1)=X2|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1))).
% 2.14/0.77 cnf(i_0_944, plain, (~c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_660, plain, (X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1112, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1063, plain, (c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)=c_List_Olist_ONil(X1))).
% 2.14/0.77 cnf(i_0_1062, plain, (c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3)=c_List_Olist_ONil(X3))).
% 2.14/0.77 cnf(i_0_1220, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_858, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_881, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_884, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_1205, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_890, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_675, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_696, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)))).
% 2.14/0.77 cnf(i_0_1197, plain, (X2=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1207, plain, (X2=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 2.14/0.77 cnf(i_0_958, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1174, plain, (c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1173, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1080, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 2.14/0.77 cnf(i_0_974, plain, (X3=X4|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X2,X4,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_917, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 2.14/0.77 cnf(i_0_751, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_764, plain, (c_HOL_Oord__class_Oless(X1,X4,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1044, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))=X2|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1187, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_1032, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1038, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1037, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1039, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_994, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|~hBOOL(hAPP(X1,X2)))).
% 2.14/0.77 cnf(i_0_892, plain, (c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)))).
% 2.14/0.77 cnf(i_0_893, plain, (c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)))).
% 2.14/0.77 cnf(i_0_956, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X1),X1),X1)|~class_Ring__and__Field_Oidom(X1))).
% 2.14/0.77 cnf(i_0_957, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)|~class_Ring__and__Field_Oidom(X1))).
% 2.14/0.77 cnf(i_0_1079, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_859, plain, (c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_860, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1002, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_1003, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 2.14/0.77 cnf(i_0_669, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_670, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1097, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(X2,X4,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1))).
% 2.14/0.77 cnf(i_0_1234, plain, (X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))|~c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1139, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1105, plain, (c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),X3,tc_nat)=c_Divides_Odiv__class_Odiv(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1163, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_697, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Oab__group__add(X1))).
% 2.14/0.77 cnf(i_0_689, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_693, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 2.14/0.77 cnf(i_0_1089, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1))).
% 2.14/0.77 cnf(i_0_1090, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1))).
% 2.14/0.77 cnf(i_0_1154, plain, (c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(X1)),X2))).
% 2.14/0.77 cnf(i_0_836, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1119, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1121, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1034, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1046, plain, (~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1081, plain, (c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1082, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_706, plain, (c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_707, plain, (c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_708, plain, (c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Power_Opower(X1))).
% 2.14/0.77 cnf(i_0_709, plain, (c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_1201, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1219, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_882, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_883, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_857, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1))).
% 2.14/0.77 cnf(i_0_1204, plain, (c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_710, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)=c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1147, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)=c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_950, plain, (c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1048, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1050, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1162, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)=c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1161, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1164, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1160, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1158, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_OrderedGroup_Oab__semigroup__mult(X1))).
% 2.14/0.77 cnf(i_0_772, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_1159, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_967, plain, (c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_915, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X2,X1))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_HOL_Oone__class_Oone(X1)),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_835, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)=c_Divides_Odiv__class_Odiv(X2,X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_834, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)=c_Divides_Odiv__class_Odiv(X3,X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_798, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_889, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1124, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1125, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_755, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_757, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1))).
% 2.14/0.77 cnf(i_0_687, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 2.14/0.77 cnf(i_0_739, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1094, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 2.14/0.77 cnf(i_0_1113, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_1114, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_1116, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 2.14/0.77 cnf(i_0_1117, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 2.14/0.77 cnf(i_0_1199, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X1)),c_HOL_Oone__class_Oone(tc_nat))))|~hBOOL(hAPP(X1,X2)))).
% 2.14/0.77 cnf(i_0_680, plain, (c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_664, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 2.14/0.77 cnf(i_0_737, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_738, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1))).
% 2.14/0.77 cnf(i_0_786, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_926, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_671, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_695, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))).
% 2.14/0.77 cnf(i_0_928, plain, (c_Lambda_OdB_OAbs(c_Lambda_Oliftn(X1,X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))))=c_Lambda_Oliftn(X1,c_Lambda_OdB_OAbs(X2),X3))).
% 2.14/0.77 cnf(i_0_888, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_852, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_887, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_1087, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_1086, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 2.14/0.77 cnf(i_0_1088, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 2.14/0.77 cnf(i_0_1041, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),c_HOL_Oone__class_Oone(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat))))).
% 2.14/0.77 cnf(i_0_1276, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X2)),X3),X2)=X1)).
% 2.14/0.77 cnf(i_0_1076, plain, (c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X2),X3))|~c_Lambda_Obeta(X1,X4))).
% 2.14/0.77 cnf(i_0_1043, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat))))).
% 2.14/0.77 cnf(i_0_685, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)=X5|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)|~class_OrderedGroup_Oab__group__add(X1))).
% 2.14/0.77 cnf(i_0_897, plain, (X1=X3|hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),c_Lambda_Oliftn(X3,X2,c_HOL_Ozero__class_Ozero(tc_nat))),X3)=c_Lambda_OdB_OVar(X1)|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1061, plain, (X3=c_List_Olist_ONil(X4)|c_List_Omap(X2,X3,X4,X1)!=c_List_Olist_ONil(X1))).
% 2.14/0.77 cnf(i_0_1060, plain, (X2=c_List_Olist_ONil(X3)|c_List_Omap(X1,X2,X3,X4)!=c_List_Olist_ONil(X4))).
% 2.14/0.77 cnf(i_0_1250, plain, (c_Lambda_Oliftn(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,X3)=hAPP(hAPP(c_Lambda_Olift,c_Lambda_Oliftn(X1,X2,X3)),X3))).
% 2.14/0.77 cnf(i_0_946, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1078, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_754, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_756, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_1237, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X2,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)))).
% 2.14/0.77 cnf(i_0_674, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1))).
% 2.14/0.77 cnf(i_0_811, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_812, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X3,tc_nat))).
% 2.14/0.77 cnf(i_0_691, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_698, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_688, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_692, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 2.14/0.77 cnf(i_0_694, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 2.14/0.77 cnf(i_0_773, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)=c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_686, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)=c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 2.14/0.77 cnf(i_0_1120, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 2.14/0.77 cnf(i_0_995, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))))).
% 2.14/0.77 cnf(i_0_886, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 2.14/0.77 cnf(i_0_885, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 2.14/0.77 cnf(i_0_1004, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))))).
% 2.14/0.77 cnf(i_0_840, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X4,X1)=c_Divides_Odiv__class_Omod(X2,X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_841, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1269, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X1),X3)),hAPP(hAPP(c_Lambda_Olift,X2),X3))=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),X3))).
% 2.14/0.77 cnf(i_0_813, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_816, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_814, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_815, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_818, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_963, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1143, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1142, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 2.14/0.77 cnf(i_0_1153, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)=c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1152, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_945, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_1049, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_848, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X3,X1)),c_HOL_Oone__class_Oone(X1))|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_847, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X2,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X3,X2,X1)),c_HOL_Oone__class_Oone(X1))|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_914, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X3)=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1)),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_808, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),c_Lambda_Oliftn(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))),X1)=c_Lambda_Oliftn(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))|c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1106, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X5,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_1098, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_1100, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_1134, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 2.14/0.77 cnf(i_0_827, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X2,X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_830, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X2,X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_820, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_823, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_826, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.14/0.77 cnf(i_0_829, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 2.14/0.77 cnf(i_0_828, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 2.14/0.77 cnf(i_0_822, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_825, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_824, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_831, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_1251, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_OdB_OVar(X2)),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 2.14/0.77 cnf(i_0_952, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_961, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_962, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_661, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_662, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_844, plain, (X3=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1040, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1118, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1))).
% 2.14/0.77 cnf(i_0_1115, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1))).
% 2.14/0.77 cnf(i_0_1030, plain, (X2=X3|c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)!=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X3,tc_nat))).
% 2.14/0.77 cnf(i_0_1109, plain, (X3=X4|X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat)))).
% 2.14/0.77 cnf(i_0_1056, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(X1,X2,X4)),c_Lambda_Oliftn(X1,X3,X4))=c_Lambda_Oliftn(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4))).
% 2.14/0.77 cnf(i_0_1185, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(X1)),c_Lambda_OdB_OdB__size(X2))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)))).
% 2.14/0.77 cnf(i_0_927, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_845, plain, (X4=c_HOL_Ozero__class_Ozero(X1)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1))).
% 2.14/0.77 cnf(i_0_846, plain, (X4=c_HOL_Ozero__class_Ozero(X1)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_1168, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))=c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat))).
% 2.14/0.77 cnf(i_0_1167, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat))).
% 2.14/0.77 cnf(i_0_896, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)).
% 2.14/0.77 cnf(i_0_745, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_744, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_746, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1202, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_sko__List__Xlexn__Xinduct__1(X1)),c_HOL_Oone__class_Oone(tc_nat)))))).
% 2.14/0.77 cnf(i_0_1211, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X1)),c_HOL_Oone__class_Oone(tc_nat)))))).
% 2.14/0.77 cnf(i_0_1214, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_sko__List__Xreplicate__Xinduct__1(X1)),c_HOL_Oone__class_Oone(tc_nat)))))).
% 2.14/0.77 cnf(i_0_1221, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_sko__Nat__Xnat__Xinducts__1(X1)),c_HOL_Oone__class_Oone(tc_nat)))))).
% 2.14/0.77 cnf(i_0_1218, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_sko__Nat__Xnat__Xinduct__1(X1)),c_HOL_Oone__class_Oone(tc_nat)))))).
% 2.14/0.77 cnf(i_0_1215, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_sko__List__Xupt__Xinduct__1(X1)),c_HOL_Oone__class_Oone(tc_nat)))))).
% 2.14/0.77 cnf(i_0_690, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1108, plain, (X4=X5|X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X4,X1))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X5,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.14/0.77 cnf(i_0_895, plain, (c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)=c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1))).
% 2.14/0.77 cnf(i_0_678, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Divides_Odiv__class_Omod(X3,X4,X1)),X4,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1145, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Divides_Odiv__class_Omod(X3,X4,X1)),X4,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_790, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_Divides_Odiv__class_Odiv(X4,X3,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1))).
% 2.14/0.77 cnf(i_0_1169, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X2,X4,X1))=c_HOL_Otimes__class_Otimes(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1165, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X3,X4,X1))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1166, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X3,X4,X1))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 2.14/0.77 cnf(i_0_842, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X4,X3,X1))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_800, plain, (c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 2.14/0.77 cnf(i_0_802, plain, (c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_775, plain, (X4=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X4,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X4,X1))|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_774, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X3,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_Divides_Odiv__class_Odiv(X2,X3,X1))|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_788, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_787, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_740, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_911, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_1135, plain, (c_HOL_Oord__class_Oless(X3,X4,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 2.14/0.77 cnf(i_0_1137, plain, (c_HOL_Oord__class_Oless(X3,X4,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_1138, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 2.14/0.77 cnf(i_0_1136, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_801, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 2.14/0.77 cnf(i_0_799, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_748, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_817, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_833, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,tc_nat),c_Power_Opower__class_Opower(X3,X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_964, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_965, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_1229, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),c_HOL_Oone__class_Oone(tc_nat))!=X2)).
% 2.14/0.77 cnf(i_0_701, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_970, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=c_Divides_Odiv__class_Omod(X4,X2,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Otimes__class_Otimes(X2,X5,tc_nat)))).
% 2.14/0.77 cnf(i_0_1099, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1))).
% 2.14/0.77 cnf(i_0_1101, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1))).
% 2.14/0.77 cnf(i_0_819, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 2.14/0.77 cnf(i_0_821, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1))).
% 2.14/0.77 cnf(i_0_1104, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_1133, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X2,X3,X1)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1))=X2|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1110, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1))!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 2.14/0.77 cnf(i_0_1111, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1))!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 2.14/0.77 cnf(i_0_1085, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X5)=hAPP(X1,X5)|~c_HOL_Oord__class_Oless(X5,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_839, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),X2,tc_nat)=c_Divides_Odiv__class_Omod(X3,X2,tc_nat))).
% 2.14/0.77 cnf(i_0_1093, plain, (c_Finite__Set_Osetsum(X2,c_SetInterval_Oord__class_OatLeastLessThan(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_912, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_913, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_758, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_789, plain, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X4,X1),c_Divides_Odiv__class_Odiv(X3,X4,X1),X1))).
% 2.14/0.77 cnf(i_0_880, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X2),X3,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X6),X4),X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1042, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),c_HOL_Oone__class_Oone(tc_nat))=X2|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))).
% 2.14/0.77 cnf(i_0_1028, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1027, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_910, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X6,X4,X1),X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_807, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 2.14/0.77 cnf(i_0_810, plain, (hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X1),X3)),X2)|~c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.14/0.77 cnf(i_0_1186, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(X1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(X2,tc_Lambda_OdB))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),tc_Lambda_OdB))).
% 2.14/0.77 cnf(i_0_1170, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X4),X2),X5)|~c_Type_Otyping(X1,X4,X5))).
% 2.14/0.77 cnf(i_0_741, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X4,X1)),c_Divides_Odiv__class_Odiv(X3,X4,X1))=c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X1))).
% 2.14/0.77 cnf(i_0_1033, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat))).
% 2.14/0.77 cnf(i_0_716, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)))).
% 2.14/0.77 cnf(i_0_717, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)))).
% 2.14/0.77 cnf(i_0_969, plain, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_Divides_Odiv__class_Odiv(X4,X5,X1),X1)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1))).
% 2.14/0.77 cnf(i_0_794, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 2.14/0.77 cnf(i_0_676, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 2.14/0.77 cnf(i_0_679, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X2,X4,X1)),X3),X4,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1144, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X2,X3,X1)),X4),X3,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_771, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_714, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X2,X4,X1))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X2,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.14/0.77 cnf(i_0_715, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X2,X4,X1))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X2,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.14/0.77 cnf(i_0_1029, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat))).
% 2.14/0.77 cnf(i_0_1177, plain, (c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),hAPP(hAPP(c_Lambda_Olift,X2),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(X1)),X2),X3))).
% 2.14/0.77 cnf(i_0_1151, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1)),c_Divides_Odiv__class_Omod(X2,X3,X1))=X2|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1149, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1)),c_Divides_Odiv__class_Omod(X3,X2,X1))=X3|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1150, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1)),c_Divides_Odiv__class_Omod(X2,X3,X1))=X2|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_793, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 2.14/0.77 cnf(i_0_792, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 2.14/0.77 cnf(i_0_1257, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X3),X4)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X4))=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),X3),X4))).
% 2.14/0.77 cnf(i_0_702, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X2,X4,X1)),c_Divides_Odiv__class_Omod(X3,X4,X1)),X4,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 2.14/0.77 cnf(i_0_1184, plain, (c_Finite__Set_Osetsum(X2,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),X3,tc_nat),tc_nat,X1)=c_Finite__Set_Osetsum(X2,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat),tc_nat,X1)|hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 2.14/0.77 cnf(i_0_777, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat),tc_nat))).
% 2.14/0.77 cnf(i_0_905, plain, (X2=X4|X1=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X4,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)))).
% 2.14/0.77 cnf(i_0_906, plain, (X2=X4|X1=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X4,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)))).
% 2.14/0.77 cnf(i_0_837, plain, (c_Type_Otyping(X1,hAPP(hAPP(hAPP(c_Lambda_Osubst,X5),X2),X4),X6)|~c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(c_Type_Oshift(X1,X4,X3,tc_Type_Otype),X5,X6))).
% 2.14/0.77 cnf(i_0_903, plain, (X3=X5|X2=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X4,X5,X1))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X5,X1)),c_HOL_Otimes__class_Otimes(X4,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.62/0.77 cnf(i_0_904, plain, (X3=X5|X2=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X4,X5,X1))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X5,X1)),c_HOL_Otimes__class_Otimes(X4,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 2.62/0.77 cnf(i_0_1073, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)).
% 2.62/0.77 cnf(i_0_1067, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OVar(X1))).
% 2.62/0.77 cnf(i_0_1068, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(X1))).
% 2.62/0.77 cnf(i_0_1070, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(X1))).
% 2.62/0.77 cnf(i_0_667, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X4)),hAPP(hAPP(c_Lambda_Olift,X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4)|~c_HOL_Oord__class_Oless(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.62/0.77 cnf(i_0_843, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 2.62/0.77 cnf(i_0_900, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),c_HOL_Ozero__class_Ozero(X1),X1))).
% 2.62/0.77 cnf(i_0_1238, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2))).
% 2.62/0.77 cnf(i_0_1183, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X1),X2)))|~c_Type_Otyping(X3,X1,v_T____)|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),v_a____,X4))).
% 2.62/0.77 cnf(i_0_665, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat)),X4))).
% 2.62/0.77 cnf(i_0_666, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X4,X3,X1)),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)),X5)|~class_Ring__and__Field_Osemiring(X1))).
% 2.62/0.77 cnf(i_0_849, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)),X1))).
% 2.62/0.77 cnf(i_0_960, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X3,tc_nat),tc_nat)),c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat),X3,tc_nat))=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat))).
% 2.62/0.77 cnf(i_0_1210, plain, (c_Type_Oshift(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X5,X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),X3,X4)=c_Type_Oshift(c_Type_Oshift(X1,X2,X3,X4),c_HOL_Ozero__class_Ozero(tc_nat),X5,X4))).
% 2.62/0.77 cnf(i_0_1146, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X3)),c_Finite__Set_Osetsum(X2,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X4,tc_nat),tc_nat,X1))=c_Finite__Set_Osetsum(X2,c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,tc_nat),tc_nat,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat))).
% 2.62/0.77 cnf(i_0_1107, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat)),X4),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X4,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 2.62/0.77 cnf(i_0_1095, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),X3,tc_nat),tc_nat)),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))=c_Divides_Odiv__class_Omod(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 2.62/0.77 cnf(i_0_1071, plain, (X3=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1065, plain, (X3=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OAbs(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1069, plain, (X2=c_List_Olist_ONil(tc_Lambda_OdB)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X3))).
% 2.62/0.77 cnf(i_0_809, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X4)),X3)=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4)|~c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.62/0.77 cnf(i_0_1242, plain, (X1=c_Lambda_OdB_OAbs(X3)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X3))).
% 2.62/0.77 cnf(i_0_1246, plain, (c_Lambda_OdB_OVar(X1)=X2|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1247, plain, (c_Lambda_OdB_OAbs(X1)=X2|c_Lambda_OdB_OAbs(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_760, plain, (c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_Oliftn(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X2,c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(X1)),c_Lambda_Oliftn(X3,X2,c_HOL_Ozero__class_Ozero(tc_nat))),X3))).
% 2.62/0.77 cnf(i_0_1072, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1241, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)=X3|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1123, plain, (c_Finite__Set_Osetsum(X2,c_SetInterval_Oord__class_OatLeastLessThan(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,tc_nat),tc_nat,X1)),hAPP(X2,X4))|c_HOL_Oord__class_Oless(X4,X3,tc_nat)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 2.62/0.77 cnf(i_0_902, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3)),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X2,tc_nat))).
% 2.62/0.77 cnf(i_0_1273, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 2.62/0.77 cnf(i_0_1311, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 2.62/0.77 cnf(i_0_1057, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_Oliftn(X4,X3,c_HOL_Ozero__class_Ozero(tc_nat))),X4)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),c_Lambda_Oliftn(X4,X3,c_HOL_Ozero__class_Ozero(tc_nat))),X4))=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),c_Lambda_Oliftn(X4,X3,c_HOL_Ozero__class_Ozero(tc_nat))),X4))).
% 2.62/0.77 cnf(i_0_1189, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____))).
% 2.62/0.77 cnf(i_0_832, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Odiv(X1,X3,tc_nat)),c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Omod(X1,X3,tc_nat)),c_Divides_Odiv__class_Omod(X2,X3,tc_nat)),X3,tc_nat))=c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat))).
% 2.62/0.77 cnf(i_0_742, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1)),c_Divides_Odiv__class_Omod(X3,X2,X1))),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)|~class_Divides_Osemiring__div(X1))).
% 2.62/0.77 cnf(i_0_743, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1)),c_Divides_Odiv__class_Omod(X2,X3,X1))),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_Divides_Osemiring__div(X1))).
% 2.62/0.77 cnf(i_0_894, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hBOOL(hAPP(X3,X4))|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat)),X1),X2,tc_nat))))).
% 2.62/0.77 cnf(i_0_854, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hBOOL(hAPP(X3,X1))|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat)),X1),X2,tc_nat))))).
% 2.62/0.77 cnf(i_0_1236, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X3,X1,X1))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 2.62/0.77 cnf(i_0_1274, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1066, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1074, plain, (c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1))|~class_OrderedGroup_Osemigroup__add(X1))).
% 2.62/0.77 cnf(i_0_1240, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1244, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1239, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1243, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1178, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),hAPP(hAPP(c_Lambda_Olift,X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X5),X2),X4)),X3)=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X5),X3)),X2),X4)|~c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 2.62/0.77 cnf(i_0_1245, plain, (c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))|~c_Lambda_Obeta(X1,X3))).
% 2.62/0.77 cnf(i_0_1188, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1255, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)|~c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB))).
% 2.62/0.77 cnf(i_0_1258, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))))).
% 2.62/0.77 cnf(i_0_1252, plain, (c_Type_Otypings(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)|~c_Type_Otypings(X1,X4,X5))).
% 2.62/0.77 cnf(i_0_1064, plain, (X1=X2|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1))).
% 2.62/0.77 cnf(i_0_1261, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X1),X3),c_List_Omap(c_COMBC(c_Lambda_Olift,X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))).
% 2.62/0.77 cnf(i_0_1254, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X2))|~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB))))).
% 2.62/0.77 cnf(i_0_1249, plain, (c_Type_Otypings(X1,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X2,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)|~c_Type_Otyping(X1,X2,X6)|~c_Type_Otypings(c_Type_Oshift(X1,X3,X6,tc_Type_Otype),X4,X5))).
% 2.62/0.77 cnf(i_0_1270, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X3),X4),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X3,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X4,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3),X4))).
% 2.62/0.77 cnf(i_0_1277, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))))).
% 2.62/0.77 cnf(i_0_1253, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2)))|~c_Type_Otyping(X3,X1,v_T____)|~hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X4))).
% 2.62/0.77 cnf(i_0_1278, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_i____),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))))).
% 2.62/0.77 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 2.62/0.77 # Begin printing tableau
% 2.62/0.77 # Found 6 steps
% 2.62/0.77 cnf(i_0_1278, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_i____),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))), inference(start_rule)).
% 2.62/0.77 cnf(i_0_1315, plain, (~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_i____),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))), inference(extension_rule, [i_0_1202])).
% 2.62/0.77 cnf(i_0_2300, plain, (~hBOOL(hAPP(c_InductTermi_OIT,c_HOL_Ozero__class_Ozero(tc_nat)))), inference(extension_rule, [i_0_999])).
% 2.62/0.77 cnf(i_0_2908, plain, (~hBOOL(hAPP(c_InductTermi_OIT,v_u____))), inference(closure_rule, [i_0_1275])).
% 2.62/0.77 cnf(i_0_2301, plain, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_sko__List__Xlexn__Xinduct__1(c_InductTermi_OIT)),c_HOL_Oone__class_Oone(tc_nat))))), inference(etableau_closure_rule, [i_0_2301, ...])).
% 2.62/0.77 cnf(i_0_2909, plain, (~hBOOL(hAPP(c_InductTermi_OIT,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(c_InductTermi_OIT)))), inference(etableau_closure_rule, [i_0_2909, ...])).
% 2.62/0.77 # End printing tableau
% 2.62/0.77 # SZS output end
% 2.62/0.77 # Branches closed with saturation will be marked with an "s"
% 2.62/0.77 # Child (24012) has found a proof.
% 2.62/0.77
% 2.62/0.78 # Proof search is over...
% 2.62/0.78 # Freeing feature tree
%------------------------------------------------------------------------------