TSTP Solution File: SWV885-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV885-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 18:23:49 EDT 2022
% Result : Unsatisfiable 110.60s 14.45s
% Output : CNFRefutation 110.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV885-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 18:54:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.50 #
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50 # Number of axioms: 1120 Number of unprocessed: 885
% 0.19/0.50 # Tableaux proof search.
% 0.19/0.50 # APR header successfully linked.
% 0.19/0.50 # Hello from C++
% 0.19/0.52 # The folding up rule is enabled...
% 0.19/0.52 # Local unification is enabled...
% 0.19/0.52 # Any saturation attempts will use folding labels...
% 0.19/0.52 # 885 beginning clauses after preprocessing and clausification
% 0.19/0.52 # Creating start rules for all 7 conjectures.
% 0.19/0.52 # There are 7 start rule candidates:
% 0.19/0.52 # Found 173 unit axioms.
% 0.19/0.52 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.52 # 7 start rule tableaux created.
% 0.19/0.52 # 712 extension rule candidate clauses
% 0.19/0.52 # 173 unit axiom clauses
% 0.19/0.52
% 0.19/0.52 # Requested 8, 32 cores available to the main process.
% 0.19/0.52 # There are not enough tableaux to fork, creating more from the initial 7
% 0.19/0.52 # Returning from population with 60 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.52 # We now have 60 tableaux to operate on
% 110.60/14.45 # Closed tableau found in foldup close cycle with 0 folds and 2 closures done.
% 110.60/14.45 # There were 11 total branch saturation attempts.
% 110.60/14.45 # There were 0 of these attempts blocked.
% 110.60/14.45 # There were 0 deferred branch saturation attempts.
% 110.60/14.45 # There were 0 free duplicated saturations.
% 110.60/14.45 # There were 0 total successful branch saturations.
% 110.60/14.45 # There were 0 successful branch saturations in interreduction.
% 110.60/14.45 # There were 0 successful branch saturations on the branch.
% 110.60/14.45 # There were 0 successful branch saturations after the branch.
% 110.60/14.45 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.60/14.45 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.60/14.45 # Begin clausification derivation
% 110.60/14.45
% 110.60/14.45 # End clausification derivation
% 110.60/14.45 # Begin listing active clauses obtained from FOF to CNF conversion
% 110.60/14.45 cnf(i_0_2207, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 110.60/14.45 cnf(i_0_2177, negated_conjecture, (c_Finite__Set_Ofinite(v_U,tc_Com_Opname))).
% 110.60/14.45 cnf(i_0_2181, negated_conjecture, (c_in(v_pn,v_U,tc_Com_Opname))).
% 110.60/14.45 cnf(i_0_2200, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2222, plain, (class_Divides_Osemiring__div(tc_nat))).
% 110.60/14.45 cnf(i_0_2225, plain, (class_Orderings_Opreorder(tc_nat))).
% 110.60/14.45 cnf(i_0_2178, negated_conjecture, (c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)))).
% 110.60/14.45 cnf(i_0_2235, plain, (class_Orderings_Opreorder(tc_bool))).
% 110.60/14.45 cnf(i_0_2228, plain, (class_Orderings_Oorder(tc_nat))).
% 110.60/14.45 cnf(i_0_2237, plain, (class_Orderings_Oorder(tc_bool))).
% 110.60/14.45 cnf(i_0_2212, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2210, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2195, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 110.60/14.45 cnf(i_0_2215, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 110.60/14.45 cnf(i_0_2213, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 110.60/14.45 cnf(i_0_2224, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 110.60/14.45 cnf(i_0_2219, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 110.60/14.45 cnf(i_0_2209, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 110.60/14.45 cnf(i_0_2198, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))).
% 110.60/14.45 cnf(i_0_2233, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 110.60/14.45 cnf(i_0_2223, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 110.60/14.45 cnf(i_0_2204, plain, (class_Ring__and__Field_Oordered__semiring(tc_nat))).
% 110.60/14.45 cnf(i_0_2226, plain, (class_Orderings_Olinorder(tc_nat))).
% 110.60/14.45 cnf(i_0_2214, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 110.60/14.45 cnf(i_0_2232, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 110.60/14.45 cnf(i_0_2227, plain, (class_Lattices_Olattice(tc_nat))).
% 110.60/14.45 cnf(i_0_2236, plain, (class_Lattices_Olattice(tc_bool))).
% 110.60/14.45 cnf(i_0_2220, plain, (class_Ring__and__Field_Osemiring(tc_nat))).
% 110.60/14.45 cnf(i_0_2197, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))).
% 110.60/14.45 cnf(i_0_2201, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2202, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2206, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 110.60/14.45 cnf(i_0_2196, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))).
% 110.60/14.45 cnf(i_0_2205, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 110.60/14.45 cnf(i_0_2217, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 110.60/14.45 cnf(i_0_2203, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))).
% 110.60/14.45 cnf(i_0_2221, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2194, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2231, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 110.60/14.45 cnf(i_0_2238, plain, (class_Orderings_Otop(tc_bool))).
% 110.60/14.45 cnf(i_0_2199, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 110.60/14.45 cnf(i_0_2218, plain, (class_Ring__and__Field_Omult__mono(tc_nat))).
% 110.60/14.45 cnf(i_0_2216, plain, (class_Ring__and__Field_Omult__mono1(tc_nat))).
% 110.60/14.45 cnf(i_0_2229, plain, (class_Orderings_Obot(tc_nat))).
% 110.60/14.45 cnf(i_0_2239, plain, (class_Orderings_Obot(tc_bool))).
% 110.60/14.45 cnf(i_0_2234, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))).
% 110.60/14.45 cnf(i_0_2230, plain, (class_HOL_Oord(tc_nat))).
% 110.60/14.45 cnf(i_0_2240, plain, (class_HOL_Oord(tc_bool))).
% 110.60/14.45 cnf(i_0_2208, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 110.60/14.45 cnf(i_0_2211, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))).
% 110.60/14.45 cnf(i_0_2098, plain, (c_lessequals(X1,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2179, negated_conjecture, (c_lessequals(c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat))).
% 110.60/14.45 cnf(i_0_1600, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2241, plain, (c_fequal(X1,X1,X2))).
% 110.60/14.45 cnf(i_0_1936, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2180, negated_conjecture, (c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(v_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_Finite__Set_Ocard(v_G,t_a))).
% 110.60/14.45 cnf(i_0_1962, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1497, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 110.60/14.45 cnf(i_0_1196, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 110.60/14.45 cnf(i_0_1961, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 110.60/14.45 cnf(i_0_1195, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 110.60/14.45 cnf(i_0_1498, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 110.60/14.45 cnf(i_0_1968, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1724, plain, (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))).
% 110.60/14.45 cnf(i_0_2094, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1443, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1442, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1926, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1925, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2151, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1742, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1477, plain, (c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1674, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 110.60/14.45 cnf(i_0_1294, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1157, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1973, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat)=X1)).
% 110.60/14.45 cnf(i_0_1974, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat)=X2)).
% 110.60/14.45 cnf(i_0_1388, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1528, plain, (c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2))).
% 110.60/14.45 cnf(i_0_1473, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 110.60/14.45 cnf(i_0_1938, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1937, plain, (c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1172, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_2137, plain, (c_in(X1,c_Set_Oinsert(X1,X2,X3),X3))).
% 110.60/14.45 cnf(i_0_2109, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 110.60/14.45 cnf(i_0_1450, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1883, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1892, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 110.60/14.45 cnf(i_0_1797, 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))).
% 110.60/14.45 cnf(i_0_1268, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 110.60/14.45 cnf(i_0_2129, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2021, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1217, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1216, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1293, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 110.60/14.45 cnf(i_0_1460, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 110.60/14.45 cnf(i_0_1459, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 110.60/14.45 cnf(i_0_1614, plain, (c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4)=X1)).
% 110.60/14.45 cnf(i_0_1895, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1615, plain, (hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2)=X3)).
% 110.60/14.45 cnf(i_0_1146, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1967, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2132, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1940, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1630, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1421, plain, (c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 110.60/14.45 cnf(i_0_1947, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1886, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1887, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1969, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1970, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1244, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1243, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 110.60/14.45 cnf(i_0_2164, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1831, plain, (c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1220, plain, (c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1839, 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))).
% 110.60/14.45 cnf(i_0_1484, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1978, plain, (c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4))).
% 110.60/14.45 cnf(i_0_1159, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1740, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1844, plain, (c_HOL_Oplus__class_Oplus(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_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1971, plain, (c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1843, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1972, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1651, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2015, plain, (c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1356, 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))).
% 110.60/14.45 cnf(i_0_1357, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1302, plain, (c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=c_Set_Oinsert(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1721, plain, (c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4))).
% 110.60/14.45 cnf(i_0_1791, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1347, plain, (c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1299, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat))).
% 110.60/14.45 cnf(i_0_1408, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1767, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 110.60/14.45 cnf(i_0_1454, plain, (c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5)=c_Fun_Ofun__upd(X1,X2,X6,X4,X5))).
% 110.60/14.45 cnf(i_0_2071, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=c_HOL_Oone__class_Oone(tc_nat))).
% 110.60/14.45 cnf(i_0_1221, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1222, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1448, plain, (c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1464, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1449, plain, (c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1207, plain, (c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))=c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X4,tc_bool)),X3,X4))).
% 110.60/14.45 cnf(i_0_1515, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))=c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X4,tc_bool)),X3,X4))).
% 110.60/14.45 cnf(i_0_2013, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_2016, plain, (c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_1247, plain, (c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1131, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1269, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1145, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1296, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1401, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1402, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2140, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 110.60/14.45 cnf(i_0_2112, plain, (c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))).
% 110.60/14.45 cnf(i_0_1409, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1461, plain, (c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_2182, negated_conjecture, (~c_in(hAPP(v_mgt__call,v_pn),v_G,t_a))).
% 110.60/14.45 cnf(i_0_2183, negated_conjecture, (c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat)!=c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a))).
% 110.60/14.45 cnf(i_0_1468, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2105, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=X1)).
% 110.60/14.45 cnf(i_0_1749, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1155, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1467, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1451, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 110.60/14.45 cnf(i_0_1524, plain, (~c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))).
% 110.60/14.45 cnf(i_0_2108, plain, (~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1658, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1657, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1447, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 110.60/14.45 cnf(i_0_1768, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1386, plain, (~c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1174, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 110.60/14.45 cnf(i_0_2169, plain, (c_Finite__Set_Ofinite(X1,X2)|~class_Finite__Set_Ofinite_Ofinite(X2))).
% 110.60/14.45 cnf(i_0_1472, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 110.60/14.45 cnf(i_0_1470, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 110.60/14.45 cnf(i_0_1301, 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))).
% 110.60/14.45 cnf(i_0_1471, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 110.60/14.45 cnf(i_0_2242, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1173, 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))).
% 110.60/14.45 cnf(i_0_1799, 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))).
% 110.60/14.45 cnf(i_0_2018, plain, (c_Finite__Set_Ocard(X1,X2)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Finite__Set_Ofinite(X1,X2))).
% 110.60/14.45 cnf(i_0_1403, 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))).
% 110.60/14.45 cnf(i_0_2155, plain, (~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2188, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 110.60/14.45 cnf(i_0_1475, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_1686, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 110.60/14.45 cnf(i_0_1684, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 110.60/14.45 cnf(i_0_1928, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1833, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1832, 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))).
% 110.60/14.45 cnf(i_0_2190, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 110.60/14.45 cnf(i_0_1343, 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))).
% 110.60/14.45 cnf(i_0_2186, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 110.60/14.45 cnf(i_0_1599, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 110.60/14.45 cnf(i_0_2090, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 110.60/14.45 cnf(i_0_2091, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 110.60/14.45 cnf(i_0_1850, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 110.60/14.45 cnf(i_0_1257, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=X2)).
% 110.60/14.45 cnf(i_0_2185, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 110.60/14.45 cnf(i_0_1846, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 110.60/14.45 cnf(i_0_1847, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 110.60/14.45 cnf(i_0_2189, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 110.60/14.45 cnf(i_0_1273, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1272, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_2027, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_2184, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 110.60/14.45 cnf(i_0_2191, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 110.60/14.45 cnf(i_0_2192, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 110.60/14.45 cnf(i_0_2193, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 110.60/14.45 cnf(i_0_1923, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2079, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2187, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 110.60/14.45 cnf(i_0_2128, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2))).
% 110.60/14.45 cnf(i_0_1320, 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))).
% 110.60/14.45 cnf(i_0_1254, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 110.60/14.45 cnf(i_0_1716, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 110.60/14.45 cnf(i_0_1715, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 110.60/14.45 cnf(i_0_1574, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1575, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1757, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1611, plain, (X1=X2|c_SetInterval_Oord__class_OatLeast(X1,X3)!=c_SetInterval_Oord__class_OatLeast(X2,X3)|~class_Orderings_Olinorder(X3))).
% 110.60/14.45 cnf(i_0_1591, plain, (~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)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1629, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 110.60/14.45 cnf(i_0_1578, 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))).
% 110.60/14.45 cnf(i_0_1932, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1631, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1933, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1124, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1999, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2002, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1794, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 110.60/14.45 cnf(i_0_2119, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1673, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 110.60/14.45 cnf(i_0_2141, plain, (c_in(X1,X2,X3)|~hBOOL(hAPP(X2,X1)))).
% 110.60/14.45 cnf(i_0_1593, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2028, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1710, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 110.60/14.45 cnf(i_0_1529, plain, (~c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X3,X4))).
% 110.60/14.45 cnf(i_0_1306, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 110.60/14.45 cnf(i_0_1910, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat))).
% 110.60/14.45 cnf(i_0_2001, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1707, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 110.60/14.45 cnf(i_0_1775, plain, (~class_HOL_Oord(X1)|~c_lessequals(X2,X3,tc_fun(X4,X1))|~c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)))).
% 110.60/14.45 cnf(i_0_1688, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 110.60/14.45 cnf(i_0_1714, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 110.60/14.45 cnf(i_0_1325, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)!=c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2156, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1326, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1430, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 110.60/14.45 cnf(i_0_1560, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)|~class_Orderings_Otop(X2))).
% 110.60/14.45 cnf(i_0_1677, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 110.60/14.45 cnf(i_0_2142, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,X1,X3))).
% 110.60/14.45 cnf(i_0_2077, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1240, plain, (c_Divides_Odiv__class_Omod(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 110.60/14.45 cnf(i_0_1191, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 110.60/14.45 cnf(i_0_2165, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~c_in(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1274, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 110.60/14.45 cnf(i_0_1860, plain, (c_lessequals(X1,X2,X3)|~class_HOL_Oord(X3)|~c_in(X2,c_SetInterval_Oord__class_OatLeast(X1,X3),X3))).
% 110.60/14.45 cnf(i_0_1487, plain, (hAPP(X1,X2)=X3|c_Fun_Ofun__upd(X1,X2,X3,X4,X5)!=X1)).
% 110.60/14.45 cnf(i_0_1190, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 110.60/14.45 cnf(i_0_1930, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1931, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1192, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 110.60/14.45 cnf(i_0_1310, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_Divides_Odiv__class_Omod(X2,X1,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_2115, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1465, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=X1|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1504, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 110.60/14.45 cnf(i_0_1255, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 110.60/14.45 cnf(i_0_1462, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1227, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1427, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 110.60/14.45 cnf(i_0_2000, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2034, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1921, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1501, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 110.60/14.45 cnf(i_0_1428, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 110.60/14.45 cnf(i_0_1329, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X4))).
% 110.60/14.45 cnf(i_0_1330, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 110.60/14.45 cnf(i_0_2149, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 110.60/14.45 cnf(i_0_1457, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 110.60/14.45 cnf(i_0_2009, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1760, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1503, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))).
% 110.60/14.45 cnf(i_0_1458, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 110.60/14.45 cnf(i_0_1331, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)!=c_HOL_Oplus__class_Oplus(X2,X3,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 110.60/14.45 cnf(i_0_1868, plain, (X1=X2|~c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))).
% 110.60/14.45 cnf(i_0_2127, plain, (c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_1708, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 110.60/14.45 cnf(i_0_1830, plain, (c_lessequals(X1,X2,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))).
% 110.60/14.45 cnf(i_0_1769, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4))).
% 110.60/14.45 cnf(i_0_1993, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Fun_Oinj__on(X3,X1,X2,X4)|~c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4))).
% 110.60/14.45 cnf(i_0_1355, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1(X1))))).
% 110.60/14.45 cnf(i_0_1456, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 110.60/14.45 cnf(i_0_2006, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1(X1),tc_nat)=X1|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2171, plain, (X1=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2035, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1239, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 110.60/14.45 cnf(i_0_1610, 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))).
% 110.60/14.45 cnf(i_0_1691, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 110.60/14.45 cnf(i_0_1690, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 110.60/14.45 cnf(i_0_1911, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2040, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|~c_lessequals(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2170, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=X2|~c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1193, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 110.60/14.45 cnf(i_0_1644, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),X2,X3))).
% 110.60/14.45 cnf(i_0_1645, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3))).
% 110.60/14.45 cnf(i_0_1194, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 110.60/14.45 cnf(i_0_1890, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1800, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1900, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1901, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1495, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 110.60/14.45 cnf(i_0_1496, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 110.60/14.45 cnf(i_0_1502, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 110.60/14.45 cnf(i_0_1689, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 110.60/14.45 cnf(i_0_1687, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1425, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 110.60/14.45 cnf(i_0_1889, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1437, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 110.60/14.45 cnf(i_0_1435, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 110.60/14.45 cnf(i_0_1726, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)|~c_Finite__Set_Ofinite(X3,X2))).
% 110.60/14.45 cnf(i_0_2154, plain, (c_in(X1,X2,X3)|~c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1532, plain, (c_in(X1,X2,X3)|~c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3))).
% 110.60/14.45 cnf(i_0_1533, plain, (c_in(X1,X2,X3)|~c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 110.60/14.45 cnf(i_0_1958, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1820, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 110.60/14.45 cnf(i_0_1438, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 110.60/14.45 cnf(i_0_1530, plain, (c_in(X1,X2,X3)|~c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 110.60/14.45 cnf(i_0_1706, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 110.60/14.45 cnf(i_0_1683, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 110.60/14.45 cnf(i_0_1384, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_2099, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1440, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2))).
% 110.60/14.45 cnf(i_0_1328, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Int_Onumber__ring(X4)|~class_Ring__and__Field_Oidom(X4))).
% 110.60/14.45 cnf(i_0_2121, plain, (X1=X2|c_in(X1,X3,X4)|~c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))).
% 110.60/14.45 cnf(i_0_1727, plain, (c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_1337, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 110.60/14.45 cnf(i_0_1338, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 110.60/14.45 cnf(i_0_1241, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 110.60/14.45 cnf(i_0_1784, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))))).
% 110.60/14.45 cnf(i_0_1606, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 110.60/14.45 cnf(i_0_1989, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 110.60/14.45 cnf(i_0_2087, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_2031, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1436, 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))).
% 110.60/14.45 cnf(i_0_1603, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1862, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1548, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1816, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1922, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1920, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2145, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2144, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1439, 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))).
% 110.60/14.45 cnf(i_0_2114, plain, (c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_1546, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1482, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 110.60/14.45 cnf(i_0_2025, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1758, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1303, 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))).
% 110.60/14.45 cnf(i_0_1441, 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))).
% 110.60/14.45 cnf(i_0_1483, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 110.60/14.45 cnf(i_0_1412, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_1544, plain, (c_in(hAPP(X1,X2),X3,X4)|~c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))).
% 110.60/14.45 cnf(i_0_1304, 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))).
% 110.60/14.45 cnf(i_0_1226, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1242, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 110.60/14.45 cnf(i_0_1492, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 110.60/14.45 cnf(i_0_1181, 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))).
% 110.60/14.45 cnf(i_0_1309, plain, (c_Divides_Odiv__class_Omod(X1,X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 110.60/14.45 cnf(i_0_1186, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1187, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1225, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1463, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1959, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1500, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 110.60/14.45 cnf(i_0_1188, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))).
% 110.60/14.45 cnf(i_0_1562, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 110.60/14.45 cnf(i_0_1566, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 110.60/14.45 cnf(i_0_1561, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 110.60/14.45 cnf(i_0_1819, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 110.60/14.45 cnf(i_0_1252, plain, (c_lessequals(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))).
% 110.60/14.45 cnf(i_0_2118, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1908, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Finite__Set_Ocard(X1,X2)!=c_HOL_Ozero__class_Ozero(tc_nat)|~c_Finite__Set_Ofinite(X1,X2))).
% 110.60/14.45 cnf(i_0_1567, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 110.60/14.45 cnf(i_0_1861, plain, (c_in(X1,c_SetInterval_Oord__class_OatLeast(X2,X3),X3)|~class_HOL_Oord(X3)|~c_lessequals(X2,X1,X3))).
% 110.60/14.45 cnf(i_0_1230, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1747, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1671, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1132, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 110.60/14.45 cnf(i_0_1728, plain, (c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_1773, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4)))).
% 110.60/14.45 cnf(i_0_2131, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 110.60/14.45 cnf(i_0_1729, plain, (c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_1782, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1452, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1582, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2085, plain, (c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)|~c_in(X1,X3,X4))).
% 110.60/14.45 cnf(i_0_2135, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X4)|~c_lessequals(X1,c_Set_Oimage(X5,X3,X4,X2),tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1626, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2))).
% 110.60/14.45 cnf(i_0_1801, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2134, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1622, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2))).
% 110.60/14.45 cnf(i_0_1807, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 110.60/14.45 cnf(i_0_1612, 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))).
% 110.60/14.45 cnf(i_0_1613, 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))).
% 110.60/14.45 cnf(i_0_1602, 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))).
% 110.60/14.45 cnf(i_0_1894, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1737, plain, (X1=X2|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)!=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2032, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1381, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 110.60/14.45 cnf(i_0_1893, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1390, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 110.60/14.45 cnf(i_0_1391, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 110.60/14.45 cnf(i_0_1654, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 110.60/14.45 cnf(i_0_1518, 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),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 110.60/14.45 cnf(i_0_2157, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 110.60/14.45 cnf(i_0_1334, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=X2)).
% 110.60/14.45 cnf(i_0_1792, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1382, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 110.60/14.45 cnf(i_0_1125, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 110.60/14.45 cnf(i_0_1780, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 110.60/14.45 cnf(i_0_1777, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 110.60/14.45 cnf(i_0_1570, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 110.60/14.45 cnf(i_0_1793, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1941, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2150, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)!=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1672, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1711, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 110.60/14.45 cnf(i_0_1572, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 110.60/14.45 cnf(i_0_1876, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2067, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4)!=c_Finite__Set_Ocard(X2,X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_2076, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 110.60/14.45 cnf(i_0_1718, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 110.60/14.45 cnf(i_0_1996, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1789, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1130, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1576, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 110.60/14.45 cnf(i_0_1140, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1556, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 110.60/14.45 cnf(i_0_1555, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1755, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X2|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1897, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1898, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2147, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1160, 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))).
% 110.60/14.45 cnf(i_0_1142, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1558, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 110.60/14.45 cnf(i_0_1557, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1598, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1245, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_2043, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2038, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2044, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1246, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 110.60/14.45 cnf(i_0_2103, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_2104, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1264, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1785, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|~hBOOL(hAPP(X1,X2)))).
% 110.60/14.45 cnf(i_0_1929, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2122, plain, (X1=X2|~c_Finite__Set_Ofinite(X2,X3)|~c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1234, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),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))).
% 110.60/14.45 cnf(i_0_1297, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 110.60/14.45 cnf(i_0_1278, plain, (c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Orderings_Olinorder(X2))).
% 110.60/14.45 cnf(i_0_1266, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2051, plain, (c_lessequals(X1,c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)|~class_Orderings_Olinorder(X3)|~c_in(X1,X2,X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_2050, plain, (c_lessequals(c_Finite__Set_Olinorder__class_OMin(X1,X2),X3,X2)|~class_Orderings_Olinorder(X2)|~c_in(X3,X1,X2)|~c_Finite__Set_Ofinite(X1,X2))).
% 110.60/14.45 cnf(i_0_1531, plain, (c_in(X1,X2,X3)|~c_in(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1420, plain, (c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Orderings_Olinorder(X2))).
% 110.60/14.45 cnf(i_0_1129, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool))=X1|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2167, plain, (c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1298, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 110.60/14.45 cnf(i_0_2024, plain, (c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,X2,X3),X3)=X2|c_Finite__Set_Ocard(X1,X3)!=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2095, plain, (c_in(X1,X2,X3)|~c_in(X1,X4,X3)|~c_lessequals(X4,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2023, plain, (c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,X2,X3),X3)=X2|c_Finite__Set_Ocard(X1,X3)!=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2133, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1781, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1783, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1411, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),tc_nat)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1))).
% 110.60/14.45 cnf(i_0_1577, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 110.60/14.45 cnf(i_0_1703, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 110.60/14.45 cnf(i_0_2084, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 110.60/14.45 cnf(i_0_1776, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1771, plain, (X1=X2|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)!=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))).
% 110.60/14.45 cnf(i_0_1279, 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))).
% 110.60/14.45 cnf(i_0_1280, 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))).
% 110.60/14.45 cnf(i_0_1175, plain, (X1=X2|c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1400, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 110.60/14.45 cnf(i_0_1824, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 110.60/14.45 cnf(i_0_1647, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4))).
% 110.60/14.45 cnf(i_0_1253, plain, (c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Finite__Set_Ocard(X1,X2)!=c_HOL_Oone__class_Oone(tc_nat))).
% 110.60/14.45 cnf(i_0_1380, plain, (c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Finite__Set_Ocard(X1,X2)!=c_HOL_Oone__class_Oone(tc_nat))).
% 110.60/14.45 cnf(i_0_1960, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2017, plain, (X1=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))|c_Finite__Set_Ocard(X1,X2)!=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2))).
% 110.60/14.45 cnf(i_0_2033, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1646, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_1596, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1597, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1693, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1810, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,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))).
% 110.60/14.45 cnf(i_0_1283, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1282, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1478, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)|~c_Finite__Set_Ofinite(X1,X2))).
% 110.60/14.45 cnf(i_0_1692, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1669, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 110.60/14.45 cnf(i_0_1670, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 110.60/14.45 cnf(i_0_2061, plain, (c_Fun_Oinj__on(X1,X2,X3,X3)|~c_Finite__Set_Ofinite(X2,X3)|~c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1481, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 110.60/14.45 cnf(i_0_1899, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1154, 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),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2070, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2069, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1476, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 110.60/14.45 cnf(i_0_1666, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2029, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2030, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1795, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1796, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1990, plain, (c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3))).
% 110.60/14.45 cnf(i_0_1944, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Set_Oimage(X3,X1,X2,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1914, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1701, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_in(c_Finite__Set_Olinorder__class_OMax(X1,X2),X1,X2)|~class_Orderings_Olinorder(X2)|~c_Finite__Set_Ofinite(X1,X2))).
% 110.60/14.45 cnf(i_0_1812, plain, (hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6)=hAPP(X1,X6)|X2=X6)).
% 110.60/14.45 cnf(i_0_2088, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1559, plain, (c_lessequals(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3)|~c_lessequals(X1,hAPP(X2,X1),X3))).
% 110.60/14.45 cnf(i_0_1541, plain, (c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)|~c_in(hAPP(X2,X1),X3,X5))).
% 110.60/14.45 cnf(i_0_1915, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2126, plain, (c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)|~c_Finite__Set_Ofinite(X1,X2))).
% 110.60/14.45 cnf(i_0_1700, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_in(c_Finite__Set_Olinorder__class_OMin(X1,X2),X1,X2)|~class_Orderings_Olinorder(X2)|~c_Finite__Set_Ofinite(X1,X2))).
% 110.60/14.45 cnf(i_0_1633, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1455, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_in(X4,X1,X3)|~c_in(X4,X2,X3))).
% 110.60/14.45 cnf(i_0_1625, 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))).
% 110.60/14.45 cnf(i_0_1634, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3)=c_Divides_Odiv__class_Omod(X2,X1,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1995, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1(X1),tc_nat))).
% 110.60/14.45 cnf(i_0_1741, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1134, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_1650, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 110.60/14.45 cnf(i_0_1184, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1344, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_1231, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)|~class_Divides_Osemiring__div(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_2045, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2093, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2113, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3)=c_Finite__Set_Ocard(X2,X3)|~c_in(X1,X2,X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_1308, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 110.60/14.45 cnf(i_0_1307, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 110.60/14.45 cnf(i_0_1605, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1127, plain, (c_lessequals(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(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2026, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2160, plain, (c_in(X1,X2,X3)|c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1988, plain, (c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1128, plain, (c_lessequals(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(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1396, 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),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 110.60/14.45 cnf(i_0_1395, 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),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 110.60/14.45 cnf(i_0_1870, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_in(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1364, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_2047, plain, (c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4)=c_Finite__Set_Ocard(X2,X3)|~c_Fun_Oinj__on(X1,X2,X3,X4))).
% 110.60/14.45 cnf(i_0_2152, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1139, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat))).
% 110.60/14.45 cnf(i_0_1248, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X4,X2,tc_nat)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1909, plain, (c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)|~c_Finite__Set_Ofinite(X3,X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1281, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 110.60/14.45 cnf(i_0_1204, 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))).
% 110.60/14.45 cnf(i_0_1286, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1260, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))).
% 110.60/14.45 cnf(i_0_1259, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 110.60/14.45 cnf(i_0_1366, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 110.60/14.45 cnf(i_0_2172, plain, (c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)|~c_in(X2,X3,X4))).
% 110.60/14.45 cnf(i_0_1399, 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))).
% 110.60/14.45 cnf(i_0_2107, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3)|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1595, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1623, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,X2,X3)|~class_OrderedGroup_Oab__semigroup__idem__mult(X3))).
% 110.60/14.45 cnf(i_0_1262, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))).
% 110.60/14.45 cnf(i_0_1261, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 110.60/14.45 cnf(i_0_1290, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 110.60/14.45 cnf(i_0_1291, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 110.60/14.45 cnf(i_0_1963, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1489, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~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))).
% 110.60/14.45 cnf(i_0_1668, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1649, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 110.60/14.45 cnf(i_0_1288, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 110.60/14.45 cnf(i_0_1882, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X5,X3,X4)|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1808, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 110.60/14.45 cnf(i_0_1720, plain, (hAPP(X1,X2)=X3|~c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5))).
% 110.60/14.45 cnf(i_0_1620, plain, (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)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1939, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2168, plain, (c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4),c_Finite__Set_Ocard(X2,X3),tc_nat)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_1977, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))|~class_Orderings_Oorder(X2)|~c_lessequals(X3,X1,X2))).
% 110.60/14.45 cnf(i_0_1158, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=X4|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3)!=c_HOL_Oplus__class_Oplus(X5,X4,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 110.60/14.45 cnf(i_0_1506, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(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),X1))).
% 110.60/14.45 cnf(i_0_1604, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1863, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1966, plain, (hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(X1)))|~hBOOL(hAPP(X1,X2)))).
% 110.60/14.45 cnf(i_0_1991, plain, (c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)|~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4))).
% 110.60/14.45 cnf(i_0_1753, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X2)).
% 110.60/14.45 cnf(i_0_2008, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1(X1,X3),tc_nat)))|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1414, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 110.60/14.45 cnf(i_0_1705, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__ring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_1563, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_1857, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_Finite__Set_Ofinite(X2,X3)|~c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X2,X3),tc_nat))).
% 110.60/14.45 cnf(i_0_1539, plain, (c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)|c_in(X1,X3,X4)|~c_in(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_1809, plain, (c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 110.60/14.45 cnf(i_0_2163, plain, (X1=X2|c_in(X3,X1,X4)|c_in(X3,X2,X4)|c_Set_Oinsert(X3,X1,X4)!=c_Set_Oinsert(X3,X2,X4))).
% 110.60/14.45 cnf(i_0_1422, plain, (X1=X2|c_Set_Oimage(X3,X1,X4,X5)!=c_Set_Oimage(X3,X2,X4,X5)|~c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 110.60/14.45 cnf(i_0_1143, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1869, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1292, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2080, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2176, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 110.60/14.45 cnf(i_0_1519, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 110.60/14.45 cnf(i_0_1126, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 110.60/14.45 cnf(i_0_1389, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 110.60/14.45 cnf(i_0_1392, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 110.60/14.45 cnf(i_0_1522, plain, (c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X3,X4)|~c_in(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_1453, plain, (hBOOL(hAPP(X1,X2))|c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1(X1,X3),X3,tc_nat)|~hBOOL(hAPP(X1,X3))|~c_lessequals(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1147, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 110.60/14.45 cnf(i_0_1653, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 110.60/14.45 cnf(i_0_1648, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 110.60/14.45 cnf(i_0_1490, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 110.60/14.45 cnf(i_0_1491, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 110.60/14.45 cnf(i_0_1149, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__add(X3))).
% 110.60/14.45 cnf(i_0_1811, plain, (hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(X1,X4)))).
% 110.60/14.45 cnf(i_0_2007, plain, (hBOOL(hAPP(X1,X2))|c_lessequals(X3,c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1(X1,X3),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1878, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X3|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1267, plain, (c_HOL_Oplus__class_Oplus(X1,X1,X2)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 110.60/14.45 cnf(i_0_1919, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1(X1,X3)))|~hBOOL(hAPP(X1,X3))|~c_lessequals(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1534, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_in(X2,X4,X5)|~c_in(X1,X4,X5)|~c_Fun_Oinj__on(X3,X4,X5,X6))).
% 110.60/14.45 cnf(i_0_1201, plain, (c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)|~c_Fun_Oinj__on(X1,X2,X4,X5))).
% 110.60/14.45 cnf(i_0_1880, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1881, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1884, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_2072, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(X2,X3),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_Finite__Set_Ocard(X2,X3)=c_HOL_Ozero__class_Ozero(tc_nat)|c_in(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1350, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3))).
% 110.60/14.45 cnf(i_0_1352, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3))).
% 110.60/14.45 cnf(i_0_1270, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 110.60/14.45 cnf(i_0_1322, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1871, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_in(X2,X3,X4)|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_2143, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(X2,X3),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_in(X1,X2,X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 110.60/14.45 cnf(i_0_2074, plain, (c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)=c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X3,X1,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1271, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 110.60/14.45 cnf(i_0_1652, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(X1,X4,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3))).
% 110.60/14.45 cnf(i_0_2064, plain, (c_Set_Oimage(X1,X2,X3,X3)=X2|~c_Fun_Oinj__on(X1,X2,X3,X3)|~c_Finite__Set_Ofinite(X2,X3)|~c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1407, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olower__semilattice(X3))).
% 110.60/14.45 cnf(i_0_1866, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))|c_in(X2,X1,X4))).
% 110.60/14.45 cnf(i_0_1141, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1994, plain, (X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1573, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1569, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1865, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))|c_in(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1171, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 110.60/14.45 cnf(i_0_1189, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(X1,X3,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4))).
% 110.60/14.45 cnf(i_0_1223, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))).
% 110.60/14.45 cnf(i_0_1224, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4))).
% 110.60/14.45 cnf(i_0_1571, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1568, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1642, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1643, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1358, 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(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1853, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_lessequals(c_Finite__Set_Olinorder__class_OMin(X3,X2),c_Finite__Set_Olinorder__class_OMin(X1,X2),X2)|~class_Orderings_Olinorder(X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1485, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(X1,X3,X4)|~class_Divides_Osemiring__div(X4))).
% 110.60/14.45 cnf(i_0_1732, plain, (c_in(X1,X2,X3)|~c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)|~c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5))).
% 110.60/14.45 cnf(i_0_1837, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1486, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X4))).
% 110.60/14.45 cnf(i_0_1359, 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(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_1852, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X2),c_Finite__Set_Olinorder__class_OMax(X3,X2),X2)|~class_Orderings_Olinorder(X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1834, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__mult(X3))).
% 110.60/14.45 cnf(i_0_1404, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 110.60/14.45 cnf(i_0_1636, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 110.60/14.45 cnf(i_0_1508, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 110.60/14.45 cnf(i_0_2020, plain, (hBOOL(hAPP(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(X1),tc_nat)))|hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))|~hBOOL(hAPP(X1,X2)))).
% 110.60/14.45 cnf(i_0_1875, plain, (c_in(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,tc_fun(X3,tc_bool)),X3)|~c_in(X1,X4,X3)|~c_lessequals(X4,hAPP(X2,X4),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2060, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))|~c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4)),X5,X4))).
% 110.60/14.45 cnf(i_0_1774, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_lessequals(X2,X1,tc_fun(X3,X4)))).
% 110.60/14.45 cnf(i_0_2158, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~c_in(X2,X3,X4))).
% 110.60/14.45 cnf(i_0_1509, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 110.60/14.45 cnf(i_0_1510, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 110.60/14.45 cnf(i_0_1507, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 110.60/14.45 cnf(i_0_1635, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_2057, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))|~c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4)),X5,X4))).
% 110.60/14.45 cnf(i_0_1512, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hBOOL(hAPP(X2,X3))|~hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),X3,tc_nat),X1,tc_nat)))|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2136, plain, (c_in(hAPP(X1,X2),X3,X4)|~c_in(X2,X5,X6)|~c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1607, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 110.60/14.45 cnf(i_0_1864, plain, (c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X4),X3,tc_fun(X4,tc_bool))|c_in(X1,X3,X4))).
% 110.60/14.45 cnf(i_0_1638, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_1637, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_1803, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 110.60/14.45 cnf(i_0_1805, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 110.60/14.45 cnf(i_0_1152, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 110.60/14.45 cnf(i_0_2052, plain, (c_in(X1,X2,X3)|c_in(X1,X4,X3)|c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1891, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X5,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2011, plain, (c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_1608, 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))).
% 110.60/14.45 cnf(i_0_1144, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 110.60/14.45 cnf(i_0_1806, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 110.60/14.45 cnf(i_0_1804, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 110.60/14.45 cnf(i_0_1903, plain, (c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)|~c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1138, plain, (c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)|~c_Finite__Set_Ofinite(X2,X4))).
% 110.60/14.45 cnf(i_0_1148, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 110.60/14.45 cnf(i_0_1855, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_in(X2,X1,X4)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_2081, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2066, plain, (c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Oring__1(X2)|~c_lessequals(X3,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1151, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1676, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1675, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1779, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1778, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1722, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=X2|c_in(X1,X2,X3))).
% 110.60/14.45 cnf(i_0_1418, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1763, plain, (X1=X2|X1=X3|c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)!=c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))).
% 110.60/14.45 cnf(i_0_1237, plain, (hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5))=X5|~c_in(X5,X1,X3)|~c_Fun_Oinj__on(X2,X1,X3,X4))).
% 110.60/14.45 cnf(i_0_1202, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1203, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1511, 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))).
% 110.60/14.45 cnf(i_0_1981, plain, (c_in(c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X2,X3,X4,X5),X1,X4)|~c_in(X2,c_Set_Oimage(X3,X1,X4,X5),X5))).
% 110.60/14.45 cnf(i_0_1765, plain, (X1=X2|X3=X2|c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)!=c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))).
% 110.60/14.45 cnf(i_0_1802, plain, (c_HOL_Oplus__class_Oplus(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)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 110.60/14.45 cnf(i_0_1983, plain, (c_Set_Oimage(X1,X2,X3,X4)=c_Set_Oimage(X5,X2,X3,X4)|c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X5,X3,X4),X2,X3))).
% 110.60/14.45 cnf(i_0_1985, plain, (c_in(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(X1,X2,X3,X4,X5),X1,X4)|~c_in(X3,c_Set_Oimage(X2,X1,X4,X5),X5))).
% 110.60/14.45 cnf(i_0_1398, 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))).
% 110.60/14.45 cnf(i_0_1822, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_1825, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 110.60/14.45 cnf(i_0_1163, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 110.60/14.45 cnf(i_0_1137, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 110.60/14.45 cnf(i_0_1786, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1949, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1951, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1838, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 110.60/14.45 cnf(i_0_1164, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 110.60/14.45 cnf(i_0_1397, 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))).
% 110.60/14.45 cnf(i_0_1474, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),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))).
% 110.60/14.45 cnf(i_0_1311, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 110.60/14.45 cnf(i_0_1238, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 110.60/14.45 cnf(i_0_1678, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_2005, plain, (hBOOL(hAPP(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1(X1,X2),tc_nat)))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,X2))|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1859, plain, (c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X3),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~c_in(X2,X1,X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_1736, plain, (~c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)|~c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5))).
% 110.60/14.45 cnf(i_0_1406, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4))).
% 110.60/14.45 cnf(i_0_1312, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 110.60/14.45 cnf(i_0_1823, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 110.60/14.45 cnf(i_0_1827, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 110.60/14.45 cnf(i_0_1821, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 110.60/14.45 cnf(i_0_1788, plain, (hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4))=X4|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3))).
% 110.60/14.45 cnf(i_0_2010, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat)=c_Finite__Set_Ocard(c_Set_Oinsert(X2,X1,X3),X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_2054, plain, (c_in(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1405, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 110.60/14.45 cnf(i_0_1305, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1423, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1424, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1640, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 110.60/14.45 cnf(i_0_1446, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_2048, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat)=c_Finite__Set_Ocard(X1,X3)|~c_in(X2,X1,X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_1873, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X2,X1,X4))).
% 110.60/14.45 cnf(i_0_1872, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)|~c_in(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1624, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=c_Divides_Odiv__class_Omod(X3,X2,tc_nat)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X5,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1835, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1445, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1639, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 110.60/14.45 cnf(i_0_1313, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 110.60/14.45 cnf(i_0_1314, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 110.60/14.45 cnf(i_0_1986, plain, (c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)=c_Set_Oimage(X1,X6,X4,X5)|c_in(X2,X6,X4))).
% 110.60/14.45 cnf(i_0_1987, plain, (hAPP(X1,c_ATP__Linkup_Osko__Set__XimageE__1__1(X2,X3,X1,X4,X5))=X3|~c_in(X3,c_Set_Oimage(X1,X2,X4,X5),X5))).
% 110.60/14.45 cnf(i_0_1982, plain, (hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(X2,X1,X3,X4,X5))=X3|~c_in(X3,c_Set_Oimage(X1,X2,X4,X5),X5))).
% 110.60/14.45 cnf(i_0_2075, plain, (c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X4),tc_nat)|~c_Fun_Oinj__on(X5,X1,X2,X4)|~c_Finite__Set_Ofinite(X3,X4)|~c_lessequals(c_Set_Oimage(X5,X1,X2,X4),X3,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1167, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 110.60/14.45 cnf(i_0_1315, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 110.60/14.45 cnf(i_0_1316, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 110.60/14.45 cnf(i_0_1713, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X4),X3,X4)|~class_Divides_Oring__div(X4))).
% 110.60/14.45 cnf(i_0_1984, plain, (hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5))=X5|~c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))).
% 110.60/14.45 cnf(i_0_2053, plain, (c_in(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1992, plain, (c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=c_Finite__Set_Ocard(X1,X3)|c_in(X2,X1,X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_1845, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1166, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1351, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 110.60/14.45 cnf(i_0_1349, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 110.60/14.45 cnf(i_0_1667, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)!=c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 110.60/14.45 cnf(i_0_1659, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X5,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1712, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 110.60/14.45 cnf(i_0_1554, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))).
% 110.60/14.45 cnf(i_0_2063, plain, (c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)|~c_Finite__Set_Ofinite(X2,X5)|~c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_1979, plain, (c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)|~c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4))).
% 110.60/14.45 cnf(i_0_1161, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))).
% 110.60/14.45 cnf(i_0_1594, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1513, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 110.60/14.45 cnf(i_0_1514, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1333, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 110.60/14.45 cnf(i_0_1212, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1210, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_2012, plain, (c_Set_Oimage(X1,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X2,X3,X1,X4,X5),X4,X5)=X3|~c_lessequals(X3,c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_1841, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1332, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 110.60/14.45 cnf(i_0_1372, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))).
% 110.60/14.45 cnf(i_0_1365, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 110.60/14.45 cnf(i_0_1162, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))).
% 110.60/14.45 cnf(i_0_1955, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat),X3,tc_nat),X4,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_2014, plain, (c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))|~c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_1879, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1842, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring(X3))).
% 110.60/14.45 cnf(i_0_1661, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))).
% 110.60/14.45 cnf(i_0_1287, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 110.60/14.45 cnf(i_0_1905, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5)|~c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_1854, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_in(X2,X1,X3)|~c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1896, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1829, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1662, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X2,X3))).
% 110.60/14.45 cnf(i_0_1373, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1374, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1369, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1828, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1948, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 110.60/14.45 cnf(i_0_1950, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1858, plain, (c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2),tc_nat)=c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)|~c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2))).
% 110.60/14.45 cnf(i_0_1219, plain, (c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4)=X2|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 110.60/14.45 cnf(i_0_1367, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1336, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 110.60/14.45 cnf(i_0_1376, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1663, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1289, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 110.60/14.45 cnf(i_0_1335, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1953, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 110.60/14.45 cnf(i_0_1975, plain, (c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X1,X3),tc_nat)|~c_in(X2,X1,X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 110.60/14.45 cnf(i_0_1664, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1665, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono1(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))).
% 110.60/14.45 cnf(i_0_1817, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__ring(X4)|~class_Ring__and__Field_Odvd(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X6,X4),X4),X3,X4),X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X6,X4))).
% 110.60/14.45 cnf(i_0_1943, plain, (c_Set_Oimage(X1,X2,X3,X4)=c_Set_Oimage(X5,X2,X3,X4)|hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X5,X3,X4))!=hAPP(X5,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X2,X1,X5,X3,X4)))).
% 110.60/14.45 cnf(i_0_2062, plain, (c_Set_Oimage(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X2,X3,X1,X4,X5),X4,X5)=X3|~c_Finite__Set_Ofinite(X3,X5)|~c_lessequals(X3,c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_2056, plain, (c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X1,X2,X3,X4,X5),X1,X4)|c_lessequals(c_Set_Oimage(X3,X1,X4,X5),X2,tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_1660, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat),X4,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X4,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_2065, plain, (c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))|~c_Finite__Set_Ofinite(X2,X5)|~c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_2055, plain, (c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)|~class_Orderings_Oorder(X4)|~c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(X1,X4)),hAPP(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(X1,X4),tc_nat)),X4)|~c_lessequals(X2,X3,tc_nat))).
% 110.60/14.45 cnf(i_0_2058, plain, (c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X1,X2,X3,X4,X5),X1,X4)|c_lessequals(c_Set_Oimage(X3,X1,X4,X5),X2,tc_fun(X5,tc_bool)))).
% 110.60/14.45 cnf(i_0_1416, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))).
% 110.60/14.45 cnf(i_0_1730, plain, (c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)|c_Fun_Oinj__on(c_Fun_Ofun__upd(X2,X6,X1,X4,X5),X3,X4,X5)|~c_Fun_Oinj__on(X2,X3,X4,X5))).
% 110.60/14.45 cnf(i_0_1980, plain, (X1=X2|hAPP(c_Hilbert__Choice_Oinv__into(X3,X4,X5,X6),X1)!=hAPP(c_Hilbert__Choice_Oinv__into(X3,X4,X5,X6),X2)|~c_in(X2,c_Set_Oimage(X4,X3,X5,X6),X6)|~c_in(X1,c_Set_Oimage(X4,X3,X5,X6),X6))).
% 110.60/14.45 cnf(i_0_1340, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 110.60/14.45 cnf(i_0_1208, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1432, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1339, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 110.60/14.45 cnf(i_0_1206, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1798, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1628, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 110.60/14.45 cnf(i_0_1213, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat))).
% 110.60/14.45 cnf(i_0_1211, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X4,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat))).
% 110.60/14.45 cnf(i_0_1956, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 110.60/14.45 cnf(i_0_1341, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 110.60/14.45 cnf(i_0_1136, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1627, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1479, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1480, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 110.60/14.45 cnf(i_0_1907, plain, (c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3)=X5|~c_Fun_Oinj__on(X2,X1,X3,X4)|~c_lessequals(X5,X1,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1717, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 110.60/14.45 cnf(i_0_1957, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 110.60/14.45 cnf(i_0_1199, plain, (c_in(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))|~c_in(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1177, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 110.60/14.45 cnf(i_0_1426, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(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),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 110.60/14.45 cnf(i_0_1377, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))).
% 110.60/14.45 cnf(i_0_1379, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))).
% 110.60/14.45 cnf(i_0_1698, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))).
% 110.60/14.45 cnf(i_0_1696, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))).
% 110.60/14.45 cnf(i_0_2059, plain, (c_in(hAPP(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X4,tc_bool)),X4)|~c_in(X2,X5,X6)|~c_lessequals(c_Set_Oimage(X1,X5,X6,X4),hAPP(X3,c_Set_Oimage(X1,X5,X6,X4)),tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_2049, plain, (c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)=c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4),c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_in(X2,X3,X4)|~c_in(X2,X1,X4)|~c_Finite__Set_Ofinite(X1,X4))).
% 110.60/14.45 cnf(i_0_1345, plain, (c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1)=X4|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3))).
% 110.60/14.45 cnf(i_0_1263, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1818, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X5),X5),X6,X5),X5)|~class_Ring__and__Field_Ocomm__ring(X5)|~class_Ring__and__Field_Odvd(X5)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X6,X5),X5)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X5))).
% 110.60/14.45 cnf(i_0_1300, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)|~class_Ring__and__Field_Osemiring(X3))).
% 110.60/14.45 cnf(i_0_1214, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)|~class_Ring__and__Field_Oring(X4))).
% 110.60/14.45 cnf(i_0_1200, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)|~class_Ring__and__Field_Oring(X3))).
% 110.60/14.45 cnf(i_0_1494, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)|~c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)))).
% 110.60/14.45 cnf(i_0_1198, plain, (c_in(X1,X2,X3)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_2073, plain, (c_Finite__Set_Ocard(X1,X2)=c_Finite__Set_Ocard(X3,X4)|~c_Fun_Oinj__on(X5,X1,X2,X4)|~c_Fun_Oinj__on(X6,X3,X4,X2)|~c_Finite__Set_Ofinite(X3,X4)|~c_Finite__Set_Ofinite(X1,X2)|~c_lessequals(c_Set_Oimage(X5,X1,X2,X4),X3,tc_fun(X4,tc_bool))|~c_lessequals(c_Set_Oimage(X6,X3,X4,X2),X1,tc_fun(X2,tc_bool)))).
% 110.60/14.45 cnf(i_0_1276, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))).
% 110.60/14.45 cnf(i_0_1378, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))).
% 110.60/14.45 cnf(i_0_1699, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))).
% 110.60/14.45 cnf(i_0_1258, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),X3,X4)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 110.60/14.45 cnf(i_0_1321, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 110.60/14.45 cnf(i_0_1734, plain, (c_Set_Oinsert(X1,c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X6),X6)=c_Set_Oimage(c_Fun_Ofun__upd(X2,X4,X1,X5,X6),X3,X5,X6)|~c_in(X4,X3,X5))).
% 110.60/14.45 cnf(i_0_1697, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))).
% 110.60/14.45 cnf(i_0_1429, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1385, plain, (c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)|X2=X6)).
% 110.60/14.45 cnf(i_0_1387, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 110.60/14.45 cnf(i_0_1704, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Oring__div(X3))).
% 110.60/14.45 cnf(i_0_1906, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),X3,X4)|~c_Fun_Oinj__on(X1,X6,X3,X4)|~c_lessequals(X5,X6,tc_fun(X3,tc_bool))|~c_lessequals(X2,X6,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1902, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)|~c_Fun_Oinj__on(X1,X6,X3,X4)|~c_lessequals(X5,X6,tc_fun(X3,tc_bool))|~c_lessequals(X2,X6,tc_fun(X3,tc_bool)))).
% 110.60/14.45 cnf(i_0_1735, plain, (c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)|c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)|~c_Fun_Oinj__on(X1,X3,X4,X5))).
% 110.60/14.45 cnf(i_0_1976, plain, (c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),tc_fun(X4,tc_bool)),X4),c_Finite__Set_Ocard(X1,X4),tc_nat)|~c_in(X3,X1,X4)|~c_in(X2,X1,X4)|~c_Finite__Set_Ofinite(X1,X4))).
% 110.60/14.45 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 110.60/14.45 # Begin printing tableau
% 110.60/14.45 # Found 6 steps
% 110.60/14.45 cnf(i_0_2182, negated_conjecture, (~c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)), inference(start_rule)).
% 110.60/14.45 cnf(i_0_2244, plain, (~c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)), inference(extension_rule, [i_0_2141])).
% 110.60/14.45 cnf(i_0_4383, plain, (~hBOOL(hAPP(v_G,hAPP(v_mgt__call,v_pn)))), inference(extension_rule, [i_0_2142])).
% 110.60/14.45 cnf(i_0_4563, plain, (~c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)), inference(extension_rule, [i_0_2072])).
% 110.60/14.45 cnf(i_0_774577, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)=c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),c_HOL_Oone__class_Oone(tc_nat),tc_nat)), inference(closure_rule, [i_0_2183])).
% 110.60/14.45 cnf(i_0_774578, plain, (c_Finite__Set_Ocard(v_G,t_a)=c_HOL_Ozero__class_Ozero(tc_nat)), inference(closure_rule, [i_0_28899])).
% 110.60/14.45 # End printing tableau
% 110.60/14.45 # SZS output end
% 110.60/14.45 # Branches closed with saturation will be marked with an "s"
% 110.60/14.47 # Child (30378) has found a proof.
% 110.60/14.47
% 110.60/14.47 # Proof search is over...
% 110.60/14.47 # Freeing feature tree
%------------------------------------------------------------------------------