0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.13/0.35 % Computer : n027.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1200 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Wed Jul 14 16:14:10 EDT 2021 0.13/0.35 % CPUTime : 2.86/3.04 # No SInE strategy applied 2.86/3.04 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr 2.86/3.04 # and selection function SelectMaxLComplexAvoidPosPred. 2.86/3.04 # 2.86/3.04 # Presaturation interreduction done 2.86/3.04 # Number of axioms: 7209 Number of unprocessed: 5788 2.86/3.04 # Tableaux proof search. 2.86/3.04 # APR header successfully linked. 2.86/3.04 # Hello from C++ 2.86/3.08 # The folding up rule is enabled... 2.86/3.08 # Local unification is enabled... 2.86/3.08 # Any saturation attempts will use folding labels... 2.86/3.08 # 5788 beginning clauses after preprocessing and clausification 2.86/3.08 # Creating start rules for all 1 conjectures. 2.86/3.08 # There are 1 start rule candidates: 2.86/3.08 # Found 1466 unit axioms. 2.86/3.08 # 1 start rule tableaux created. 2.86/3.08 # 4322 extension rule candidate clauses 2.86/3.08 # 1466 unit axiom clauses 2.86/3.08 2.86/3.08 # Requested 8, 32 cores available to the main process. 2.86/3.08 # There are not enough tableaux to fork, creating more from the initial 1 2.86/3.08 # Closed tableau found in foldup close cycle with 0 folds and 2 closures done. 2.86/3.08 # There were 0 total branch saturation attempts. 2.86/3.08 # There were 0 of these attempts blocked. 2.86/3.08 # There were 0 deferred branch saturation attempts. 2.86/3.08 # There were 0 free duplicated saturations. 2.86/3.08 # There were 0 total successful branch saturations. 2.86/3.08 # There were 0 successful branch saturations in interreduction. 2.86/3.08 # There were 0 successful branch saturations on the branch. 2.86/3.08 # There were 0 successful branch saturations after the branch. 2.86/3.08 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 2.86/3.08 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 2.86/3.08 # Begin clausification derivation 2.86/3.08 2.86/3.08 # End clausification derivation 2.86/3.08 # Begin listing active clauses obtained from FOF to CNF conversion 2.86/3.08 cnf(i_0_6791, plain, (class_Rings_Osemiring__1(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_6962, plain, (c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6678, plain, (c_Code__Numeral_Osubtract__code__numeral=c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_4124, plain, (c_Code__Numeral_Oof__nat=c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_6251, plain, (class_Rings_Osemiring__1(tc_Int_Oint))). 2.86/3.08 cnf(i_0_2981, plain, (class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_2613, plain, (hBOOL(c_fTrue))). 2.86/3.08 cnf(i_0_1850, plain, (class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6686, plain, (class_Groups_Oordered__ab__group__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_543, plain, (class_Groups_Olinordered__ab__group__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_4227, plain, (class_Lattices_Odistrib__lattice(tc_HOL_Obool))). 2.86/3.08 cnf(i_0_1584, plain, (class_Lattices_Odistrib__lattice(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_96, plain, (class_Lattices_Odistrib__lattice(tc_Int_Oint))). 2.86/3.08 cnf(i_0_664, plain, (class_Orderings_Olinorder(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_2877, plain, (class_Orderings_Olinorder(tc_Int_Oint))). 2.86/3.08 cnf(i_0_4559, plain, (class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_4942, plain, (class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_4794, plain, (class_Groups_Oordered__comm__monoid__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6233, plain, (class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_3421, plain, (class_Rings_Olinordered__idom(tc_Int_Oint))). 2.86/3.08 cnf(i_0_4674, plain, (class_Rings_Oring(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6431, plain, (class_Int_Onumber(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_3212, plain, (class_Int_Onumber(tc_Int_Oint))). 2.86/3.08 cnf(i_0_2129, plain, (class_Int_Onumber(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_7102, plain, (class_Rings_Olinordered__semidom(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_7287, plain, (class_Rings_Olinordered__semidom(tc_Int_Oint))). 2.86/3.08 cnf(i_0_7067, plain, (class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_3814, plain, (class_Lattices_Osemilattice__inf(tc_HOL_Obool))). 2.86/3.08 cnf(i_0_562, plain, (class_Lattices_Osemilattice__inf(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_1005, plain, (class_Lattices_Osemilattice__inf(tc_Int_Oint))). 2.86/3.08 cnf(i_0_1148, plain, (class_Divides_Osemiring__div(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_4201, plain, (class_Divides_Osemiring__div(tc_Int_Oint))). 2.86/3.08 cnf(i_0_5797, plain, (class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_4773, plain, (class_Lattices_Olattice(tc_HOL_Obool))). 2.86/3.08 cnf(i_0_1823, plain, (class_Lattices_Olattice(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_1270, plain, (class_Lattices_Olattice(tc_Int_Oint))). 2.86/3.08 cnf(i_0_266, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_63, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_7152, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_4307, plain, (class_Groups_Oab__semigroup__mult(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_7264, plain, (class_Groups_Oab__semigroup__mult(tc_Int_Oint))). 2.86/3.08 cnf(i_0_4162, plain, (class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_1554, plain, (class_Rings_Osemiring__0(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_4658, plain, (class_Rings_Osemiring__0(tc_Int_Oint))). 2.86/3.08 cnf(i_0_844, plain, (class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_4625, plain, (class_Groups_Ogroup__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6090, plain, (class_Groups_Ocomm__monoid__add(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_141, plain, (class_Groups_Ocomm__monoid__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_7094, plain, (class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_2791, plain, (class_Rings_Ocomm__semiring__1(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_5197, plain, (class_Rings_Ocomm__semiring__1(tc_Int_Oint))). 2.86/3.08 cnf(i_0_5784, plain, (class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_4582, plain, (class_Rings_Oring__no__zero__divisors(tc_Int_Oint))). 2.86/3.08 cnf(i_0_3350, plain, (class_Divides_Oring__div(tc_Int_Oint))). 2.86/3.08 cnf(i_0_1422, plain, (class_Rings_Olinordered__semiring__1(tc_Int_Oint))). 2.86/3.08 cnf(i_0_2215, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_122, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_3740, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_6541, plain, (class_Groups_Omonoid__add(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_5602, plain, (class_Groups_Omonoid__add(tc_Int_Oint))). 2.86/3.08 cnf(i_0_5708, plain, (class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_3632, plain, (class_Rings_Oordered__comm__semiring(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_7326, plain, (class_Rings_Oordered__comm__semiring(tc_Int_Oint))). 2.86/3.08 cnf(i_0_154, plain, (class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_945, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_2063, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6775, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_4032, plain, (class_Rings_Olinordered__ring__strict(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6479, plain, (class_Rings_Olinordered__ring(tc_Int_Oint))). 2.86/3.08 cnf(i_0_4644, plain, (class_Rings_Oring__1(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6530, plain, (class_Rings_Odvd(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_3373, plain, (class_Rings_Odvd(tc_Int_Oint))). 2.86/3.08 cnf(i_0_6026, plain, (class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_6241, plain, (class_Power_Opower(tc_Nat_Onat))). 2.86/3.08 cnf(i_0_1590, plain, (class_Power_Opower(tc_Int_Oint))). 2.86/3.08 cnf(i_0_5769, plain, (class_Power_Opower(tc_Code__Numeral_Ocode__numeral))). 2.86/3.08 cnf(i_0_1871, plain, (class_Lattices_Obounded__lattice(tc_HOL_Obool))). 2.86/3.08 cnf(i_0_2672, plain, (class_Orderings_Oorder(tc_HOL_Obool))). 2.86/3.08 cnf(i_0_5253, plain, (class_Orderings_Oorder(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4903, plain, (class_Orderings_Oorder(tc_Int_Oint))). 2.86/3.09 cnf(i_0_7364, plain, (class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_1972, plain, (class_Lattices_Obounded__lattice__top(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_3213, plain, (class_Groups_Ocomm__monoid__mult(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2220, plain, (class_Groups_Ocomm__monoid__mult(tc_Int_Oint))). 2.86/3.09 cnf(i_0_7228, plain, (class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_6684, plain, (class_Int_Onumber__ring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1846, plain, (class_Rings_Oordered__semiring(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1827, plain, (class_Rings_Oordered__semiring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4876, plain, (class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_6744, plain, (class_Rings_Ocomm__ring__1(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2679, plain, (class_Nat_Osemiring__char__0(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_358, plain, (class_Nat_Osemiring__char__0(tc_Int_Oint))). 2.86/3.09 cnf(i_0_559, plain, (class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4758, plain, (class_Rings_Olinordered__semiring__strict(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1140, plain, (class_Rings_Olinordered__semiring__strict(tc_Int_Oint))). 2.86/3.09 cnf(i_0_807, plain, (class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_2801, plain, (class_Orderings_Opreorder(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_1420, plain, (class_Orderings_Opreorder(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7143, plain, (class_Orderings_Opreorder(tc_Int_Oint))). 2.86/3.09 cnf(i_0_379, plain, (class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_5243, plain, (class_Lattices_Osemilattice__sup(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_1973, plain, (class_Lattices_Osemilattice__sup(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6404, plain, (class_Lattices_Osemilattice__sup(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2104, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3439, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1133, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_3194, plain, (class_Finite__Set_Ofinite(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_5467, plain, (class_Finite__Set_Ofinite(tc_Product__Type_Ounit))). 2.86/3.09 cnf(i_0_459, plain, (class_Rings_Ono__zero__divisors(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_615, plain, (class_Rings_Ono__zero__divisors(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3681, plain, (class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_747, plain, (class_Groups_Ominus(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_5753, plain, (class_Groups_Ominus(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_478, plain, (class_Groups_Ominus(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4282, plain, (class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4164, plain, (class_Int_Oring__char__0(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3360, plain, (class_Orderings_Obot(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_1282, plain, (class_Orderings_Obot(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1227, plain, (class_Groups_Omonoid__mult(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5208, plain, (class_Groups_Omonoid__mult(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6319, plain, (class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_569, plain, (class_Smallcheck_Osmall(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4623, plain, (class_Smallcheck_Osmall(tc_Product__Type_Ounit))). 2.86/3.09 cnf(i_0_4281, plain, (class_Orderings_Oord(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_4462, plain, (class_Orderings_Oord(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2580, plain, (class_Orderings_Oord(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4723, plain, (class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_3592, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_6801, plain, (class_Rings_Ozero__neq__one(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3965, plain, (class_Rings_Ozero__neq__one(tc_Int_Oint))). 2.86/3.09 cnf(i_0_7420, plain, (class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_1325, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5773, plain, (class_Lattices_Obounded__lattice__bot(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_6402, plain, (class_Rings_Osemiring(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1467, plain, (class_Rings_Osemiring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1028, plain, (class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_1919, plain, (class_Rings_Oordered__cancel__semiring(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1043, plain, (class_Rings_Oordered__cancel__semiring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1939, plain, (class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_2584, plain, (class_Lattices_Oboolean__algebra(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_5300, plain, (class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1113, plain, (class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4355, plain, (class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4550, plain, (class_Groups_Oab__group__add(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4737, plain, (class_Groups_Ocancel__semigroup__add(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4546, plain, (class_Groups_Ocancel__semigroup__add(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1724, plain, (class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_3041, plain, (class_Rings_Olinordered__semiring(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1231, plain, (class_Rings_Olinordered__semiring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1621, plain, (class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_1453, plain, (class_Rings_Ocomm__ring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6621, plain, (class_Groups_Osemigroup__add(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5184, plain, (class_Groups_Osemigroup__add(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6677, plain, (class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_3595, plain, (class_Rings_Omult__zero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2364, plain, (class_Rings_Omult__zero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6711, plain, (class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_1487, plain, (class_Rings_Oordered__ring__abs(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4285, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7284, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3601, plain, (class_Groups_Oab__semigroup__add(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7093, plain, (class_Groups_Oab__semigroup__add(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2409, plain, (class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_6125, plain, (class_Rings_Oordered__ring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_7282, plain, (class_Groups_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1854, plain, (class_Groups_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6548, plain, (class_Groups_Oone(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_6861, plain, (class_Orderings_Otop(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_7041, plain, (class_Rings_Ocomm__semiring(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7231, plain, (class_Rings_Ocomm__semiring(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3397, plain, (class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_2437, plain, (class_Rings_Oidom(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5783, plain, (class_Groups_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4446, plain, (class_Groups_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2490, plain, (class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4315, plain, (class_Groups_Ouminus(tc_HOL_Obool))). 2.86/3.09 cnf(i_0_7072, plain, (class_Groups_Ouminus(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5744, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6400, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2689, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4696, plain, (class_Groups_Oabs__if(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3184, plain, (class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3665, plain, (class_Orderings_Owellorder(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7095, plain, (class_Groups_Osgn__if(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2211, hypothesis, (v_P(v_Z,v_s))). 2.86/3.09 cnf(i_0_6470, plain, (c_Orderings_Obot__class_Obot(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6500, plain, (c_Orderings_Oord__class_Omin(tc_Nat_Onat)=c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3908, plain, (c_Orderings_Oord__class_Omax(tc_Nat_Onat)=c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_840, plain, (c_Fun_Oid(tc_Int_Oint)=c_Int_Oring__1__class_Oof__int(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4009, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7296, plain, (c_HOL_Obool_Obool__size(c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3959, plain, (c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_5740, plain, (c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_44, plain, (c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than))). 2.86/3.09 cnf(i_0_6273, plain, (c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat))). 2.86/3.09 cnf(i_0_2820, plain, (c_HOL_Obool_Obool__size(c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6756, plain, (c_Equiv__Relations_Oequivp(X1,c_fequal))). 2.86/3.09 cnf(i_0_6536, plain, (c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7249, plain, (c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6687, plain, (c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(X1)))). 2.86/3.09 cnf(i_0_3227, plain, (c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(X1)))). 2.86/3.09 cnf(i_0_584, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1579, plain, (c_Option_Ois__none(X1,c_Option_Ooption_ONone(X1)))). 2.86/3.09 cnf(i_0_1974, plain, (c_Int_OMin=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_848, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)))). 2.86/3.09 cnf(i_0_4650, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X1)=X1)). 2.86/3.09 cnf(i_0_3452, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1)=X1)). 2.86/3.09 cnf(i_0_5002, hypothesis, (c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H))). 2.86/3.09 cnf(i_0_6680, plain, (hAPP(c_Int_OAbs__Integ,esk450_1(X1))=X1)). 2.86/3.09 cnf(i_0_6299, plain, (hAPP(c_COMBI(X1),X2)=X2)). 2.86/3.09 cnf(i_0_3125, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)). 2.86/3.09 cnf(i_0_6573, plain, (hAPP(c_Set_OCollect(X1),X2)=X2)). 2.86/3.09 cnf(i_0_6854, plain, (c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom,c_Com_Obodies)=c_Com_Obody)). 2.86/3.09 cnf(i_0_6029, plain, (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1711, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_2033, plain, (hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4474, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6930, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_6405, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_5837, plain, (hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3201, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6645, plain, (c_Quickcheck_Obeyond(X1,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_2053, plain, (c_Random_Oinc__shift(X1,X1)=c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4150, plain, (c_List_Obutlast(X1,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_2806, plain, (hAPP(c_New__DSequence_Opos__empty(X1),X2)=c_Lazy__Sequence_Oempty(X1))). 2.86/3.09 cnf(i_0_1347, plain, (c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4863, plain, (c_Nitpick_Onat__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 2.86/3.09 cnf(i_0_4013, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(X1,X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3123, plain, (c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less))). 2.86/3.09 cnf(i_0_1300, plain, (c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))). 2.86/3.09 cnf(i_0_151, plain, (hAPP(c_Code__Numeral_Oint__of,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_658, plain, (c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(X1,X2)))). 2.86/3.09 cnf(i_0_2209, plain, (c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_632, hypothesis, (c_Natural_Oevaln(v_c,v_s,v_n,v_s1))). 2.86/3.09 cnf(i_0_3331, plain, (c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1))). 2.86/3.09 cnf(i_0_4724, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))). 2.86/3.09 cnf(i_0_5158, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4010, plain, (c_Groups_Osgn__class_Osgn(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5503, plain, (c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less)=c_FunDef_Omin__strict)). 2.86/3.09 cnf(i_0_4527, plain, (c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less)=c_FunDef_Omax__strict)). 2.86/3.09 cnf(i_0_3543, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_741, plain, (hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,X1))=X1)). 2.86/3.09 cnf(i_0_3197, plain, (hAPP(c_Code__Numeral_Onat__of,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1))=X1)). 2.86/3.09 cnf(i_0_5615, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4202, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Onat__of,X1))=X1)). 2.86/3.09 cnf(i_0_5834, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6851, plain, (c_HOL_OThe(X1,hAPP(c_fequal,X2))=X2)). 2.86/3.09 cnf(i_0_5717, plain, (c_Hilbert__Choice_OEps(X1,hAPP(c_fequal,X2))=X2)). 2.86/3.09 cnf(i_0_7344, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)). 2.86/3.09 cnf(i_0_4205, plain, (c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than)=c_FunDef_Opair__less)). 2.86/3.09 cnf(i_0_5450, plain, (hAPP(c_List_Otl(X1),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_825, plain, (hAPP(c_List_Orotate1(X1),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_5449, plain, (hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_3526, plain, (c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(X1)))). 2.86/3.09 cnf(i_0_6277, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olist_ONil(X1))))). 2.86/3.09 cnf(i_0_6217, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6657, plain, (c_Option_Ooption_Ooption__size(X1,X2,c_Option_Ooption_ONone(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4952, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(X1,X2))))). 2.86/3.09 cnf(i_0_3733, plain, (c_List_Olist_Olist__size(X1,X2,c_List_Olist_ONil(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5374, plain, (c_List_Oremove1(X1,X2,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_2312, plain, (c_Relation_Orefl__on(X1,X2,c_Relation_OId__on(X1,X2)))). 2.86/3.09 cnf(i_0_4562, plain, (c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)))). 2.86/3.09 cnf(i_0_4579, plain, (c_Fun_Oinj__on(X1,X1,c_COMBI(X1),X2))). 2.86/3.09 cnf(i_0_2088, plain, (c_Fun_Oinj__on(X1,X1,c_Fun_Oid(X1),X2))). 2.86/3.09 cnf(i_0_6627, plain, (c_List_Osublist(X1,c_List_Olist_ONil(X1),X2)=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_3515, plain, (c_List_OtakeWhile(X1,X2,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_261, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(X1,X2,X3))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4435, plain, (hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),X1)=X1)). 2.86/3.09 cnf(i_0_4030, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2953, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)=X1)). 2.86/3.09 cnf(i_0_5578, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)). 2.86/3.09 cnf(i_0_6058, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)). 2.86/3.09 cnf(i_0_926, plain, (c_Option_Oset(X1,c_Option_Ooption_ONone(X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_184, plain, (c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=X2)). 2.86/3.09 cnf(i_0_930, plain, (c_Nat_Onat_Onat__case(X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)). 2.86/3.09 cnf(i_0_5040, plain, (c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=X2)). 2.86/3.09 cnf(i_0_903, plain, (c_List_Otranspose(X1,c_List_Olist_ONil(tc_List_Olist(X1)))=c_List_Olist_ONil(tc_List_Olist(X1)))). 2.86/3.09 cnf(i_0_4703, plain, (c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_5683, plain, (hAPP(c_New__DSequence_Opos__single(X1,X2),X3)=c_Lazy__Sequence_Osingle(X1,X2))). 2.86/3.09 cnf(i_0_5448, plain, (hAPP(c_New__DSequence_Oneg__single(X1,X2),X3)=c_Lazy__Sequence_Ohb__single(X1,X2))). 2.86/3.09 cnf(i_0_2145, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Olist_ONil(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1978, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(X1)),c_Option_Ooption_ONone(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1587, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5616, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OAss(X1,X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3938, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2154, plain, (hAPP(c_List_Ofilter(X1,X2),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_6462, plain, (hBOOL(hAPP(hAPP(c_fequal,X1),X1)))). 2.86/3.09 cnf(i_0_2586, plain, (hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),X1)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_4820, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1)))). 2.86/3.09 cnf(i_0_6936, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_2911, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_3769, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_7265, plain, (hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(X1,X2))))). 2.86/3.09 cnf(i_0_2790, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X1)))). 2.86/3.09 cnf(i_0_2537, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X1)))). 2.86/3.09 cnf(i_0_2814, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X1)))). 2.86/3.09 cnf(i_0_661, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X1),X1)))). 2.86/3.09 cnf(i_0_3440, plain, (c_Relation_Ototal__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2))). 2.86/3.09 cnf(i_0_7105, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)))). 2.86/3.09 cnf(i_0_1124, plain, (c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)))). 2.86/3.09 cnf(i_0_1880, plain, (c_List_Omap__filter(X1,X2,X3,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X2))). 2.86/3.09 cnf(i_0_1116, plain, (c_Fun_Oinj__on(X1,tc_Option_Ooption(X1),c_Option_Ooption_OSome(X1),X2))). 2.86/3.09 cnf(i_0_6923, plain, (hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_3654, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))=X1)). 2.86/3.09 cnf(i_0_5829, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 2.86/3.09 cnf(i_0_1257, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 2.86/3.09 cnf(i_0_6643, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1)). 2.86/3.09 cnf(i_0_1480, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))=X1)). 2.86/3.09 cnf(i_0_1928, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 2.86/3.09 cnf(i_0_2122, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1436, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=X1)). 2.86/3.09 cnf(i_0_5874, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=X1)). 2.86/3.09 cnf(i_0_7103, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=X1)). 2.86/3.09 cnf(i_0_7087, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=X1)). 2.86/3.09 cnf(i_0_5165, plain, (hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_2934, plain, (hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X2))=X2)). 2.86/3.09 cnf(i_0_1214, plain, (hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2))=X2)). 2.86/3.09 cnf(i_0_1772, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Olist_ONil(X1))=X2)). 2.86/3.09 cnf(i_0_6607, plain, (hAPP(hAPP(c_List_Odrop(X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)=X2)). 2.86/3.09 cnf(i_0_2439, plain, (hAPP(hAPP(c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)=X2)). 2.86/3.09 cnf(i_0_3976, plain, (hAPP(c_Relation_ODomain(X1,X1),c_Relation_OId__on(X1,X2))=X2)). 2.86/3.09 cnf(i_0_5146, plain, (hAPP(c_Relation_ORange(X1,X1),c_Relation_OId__on(X1,X2))=X2)). 2.86/3.09 cnf(i_0_7338, plain, (hAPP(hAPP(c_COMBK(X1,X2),X3),X4)=X3)). 2.86/3.09 cnf(i_0_3444, plain, (hAPP(c_Nat_Onat_Onat__rec(X1,X2,X3),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)). 2.86/3.09 cnf(i_0_6906, plain, (hAPP(c_Set_Oimage(X1,X1,c_Fun_Oid(X1)),X2)=X2)). 2.86/3.09 cnf(i_0_6972, plain, (hAPP(c_Set_Oimage(X1,X1,c_COMBI(X1)),X2)=X2)). 2.86/3.09 cnf(i_0_4576, plain, (c_Option_Ooption_Ooption__rec(X1,X2,X3,X4,c_Option_Ooption_ONone(X2))=X3)). 2.86/3.09 cnf(i_0_606, plain, (hAPP(c_Option_Omap(X1,X1),c_Fun_Oid(X1))=c_Fun_Oid(tc_Option_Ooption(X1)))). 2.86/3.09 cnf(i_0_5546, plain, (hAPP(c_List_Omap(X1,X1),c_COMBI(X1))=c_Fun_Oid(tc_List_Olist(X1)))). 2.86/3.09 cnf(i_0_1763, plain, (hAPP(c_List_Omap(X1,X1),c_Fun_Oid(X1))=c_Fun_Oid(tc_List_Olist(X1)))). 2.86/3.09 cnf(i_0_824, plain, (hAPP(c_Option_Omap(X1,X1),c_COMBI(X1))=c_Fun_Oid(tc_Option_Ooption(X1)))). 2.86/3.09 cnf(i_0_5260, plain, (hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),X1)=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))). 2.86/3.09 cnf(i_0_4004, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,X1,X2)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2))). 2.86/3.09 cnf(i_0_7343, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_380, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7149, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6275, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2517, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5067, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6437, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5888, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_1399, plain, (hAPP(hAPP(c_List_Otake(X1),X2),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_2071, plain, (hAPP(hAPP(c_List_Otake(X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_966, plain, (hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_815, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6697, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4052, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.86/3.09 cnf(i_0_7151, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_List_Oset(X1),X2))))). 2.86/3.09 cnf(i_0_2642, plain, (c_List_Osublist(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_3940, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCall(X1,X2,X3))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_801, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3949, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_2460, plain, (c_Wellfounded_Owf(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_6380, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))))). 2.86/3.09 cnf(i_0_3774, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))))). 2.86/3.09 cnf(i_0_1478, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))))). 2.86/3.09 cnf(i_0_216, plain, (hAPP(c_Product__Type_Osnd(X1,X2),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4))=X4)). 2.86/3.09 cnf(i_0_3034, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,X1,X2))))). 2.86/3.09 cnf(i_0_5946, plain, (c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_2943, plain, (c_Fun_Oinj__on(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Orev(X1),X2))). 2.86/3.09 cnf(i_0_552, plain, (c_Fun_Oinj__on(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_7115, plain, (hAPP(c_Product__Type_Ofst(X1,X2),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4))=X3)). 2.86/3.09 cnf(i_0_7215, plain, (hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)),c_Int_Onat)=c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_2406, plain, (hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1))=hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_2399, plain, (hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1))=hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_2260, plain, (hAPP(c_Int_Onat,X1)=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_2721, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_7006, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))=X1)). 2.86/3.09 cnf(i_0_1173, plain, (hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),X1))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_4536, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2944, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6674, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_409, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(c_Set_OPow(X1),X2))=X2)). 2.86/3.09 cnf(i_0_2394, plain, (hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(X1,X2))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))). 2.86/3.09 cnf(i_0_249, plain, (c_Sum__Type_OProjr(X1,X2,hAPP(c_Sum__Type_OInr(X2,X1),X3))=X3)). 2.86/3.09 cnf(i_0_7118, plain, (c_Sum__Type_OProjl(X1,X2,hAPP(c_Sum__Type_OInl(X1,X2),X3))=X3)). 2.86/3.09 cnf(i_0_4175, plain, (c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,X1,X2)=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1)),X2))). 2.86/3.09 cnf(i_0_7234, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X2)=X2)). 2.86/3.09 cnf(i_0_2084, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X2)=X2)). 2.86/3.09 cnf(i_0_7104, plain, (hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of)=c_Code__Numeral_Oint__of)). 2.86/3.09 cnf(i_0_6098, plain, (hAPP(c_Fun_Ocomp(X1,X2,X1,X3),c_Fun_Oid(X1))=X3)). 2.86/3.09 cnf(i_0_74, plain, (hAPP(c_Option_Ooption_Ooption__case(X1,X2,X3,X4),c_Option_Ooption_ONone(X2))=X3)). 2.86/3.09 cnf(i_0_3888, plain, (hAPP(c_List_Ofoldl(X1,X2,X3,X4),c_List_Olist_ONil(X2))=X4)). 2.86/3.09 cnf(i_0_6710, plain, (hAPP(c_List_Olist_Olist__case(X1,X2,X3,X4),c_List_Olist_ONil(X2))=X3)). 2.86/3.09 cnf(i_0_4096, plain, (hAPP(c_Fun_Ocomp(X1,X1,X2,c_Fun_Oid(X1)),X3)=X3)). 2.86/3.09 cnf(i_0_4363, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=hAPP(c_Nat_OSuc,X1))). 2.86/3.09 cnf(i_0_403, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=hAPP(c_Nat_OSuc,X1))). 2.86/3.09 cnf(i_0_7216, plain, (hAPP(c_Relation_Oconverse(X1,X1),c_Relation_OId__on(X1,X2))=c_Relation_OId__on(X1,X2))). 2.86/3.09 cnf(i_0_5087, plain, (c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2)))). 2.86/3.09 cnf(i_0_4187, plain, (c_Nitpick_OAbs__Frac(X1,c_Nitpick_Onorm__frac(X2,X3))=hAPP(hAPP(c_Nitpick_Ofrac(X1),X2),X3))). 2.86/3.09 cnf(i_0_210, plain, (c_Nat_Onat_Onat__case(X1,X2,X3,hAPP(c_Nat_OSuc,X4))=hAPP(X3,X4))). 2.86/3.09 cnf(i_0_2597, plain, (c_Fun_Oinj__on(X1,tc_sum(X2,X1),c_Sum__Type_OInr(X1,X2),X3))). 2.86/3.09 cnf(i_0_5651, plain, (c_Fun_Oinj__on(X1,tc_sum(X1,X2),c_Sum__Type_OInl(X1,X2),X3))). 2.86/3.09 cnf(i_0_528, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(X1)),hAPP(c_Option_Ooption_OSome(X1),X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1821, plain, (c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))=c_List_Olist_ONil(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1047, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X2))). 2.86/3.09 cnf(i_0_6003, plain, (hAPP(hAPP(c_Option_Omap(X1,X2),X3),c_Option_Ooption_ONone(X1))=c_Option_Ooption_ONone(X2))). 2.86/3.09 cnf(i_0_6547, plain, (c_List_Olists(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_2216, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_1087, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_5051, plain, (c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)))). 2.86/3.09 cnf(i_0_5433, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X1))))). 2.86/3.09 cnf(i_0_4879, plain, (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))). 2.86/3.09 cnf(i_0_4200, plain, (hAPP(hAPP(c_List_Olist__update(X1,c_List_Olist_ONil(X1)),X2),X3)=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_194, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Oinv__image(tc_Nat_Onat,X1),c_Wellfounded_Oless__than),X2)))). 2.86/3.09 cnf(i_0_396, plain, (c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))))). 2.86/3.09 cnf(i_0_3019, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))))). 2.86/3.09 cnf(i_0_4304, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,X1),X2))))). 2.86/3.09 cnf(i_0_3038, plain, (c_HOL_OThe(X1,c_Finite__Set_Ofold1Set(X1,X2,X3))=hAPP(c_Finite__Set_Ofold1(X1,X2),X3))). 2.86/3.09 cnf(i_0_6905, plain, (c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_4910, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X2)))). 2.86/3.09 cnf(i_0_2918, plain, (c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_574, plain, (c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_1458, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1)). 2.86/3.09 cnf(i_0_546, plain, (hAPP(c_List_Oset(X1),hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Oset(X1),X2))). 2.86/3.09 cnf(i_0_3119, plain, (hAPP(c_List_Oset(X1),hAPP(c_List_Orotate1(X1),X2))=hAPP(c_List_Oset(X1),X2))). 2.86/3.09 cnf(i_0_1207, plain, (hAPP(c_Relation_ORange(X1,X1),c_Transitive__Closure_Ortrancl(X1,X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_942, plain, (hAPP(c_Relation_ODomain(X1,X1),c_Transitive__Closure_Ortrancl(X1,X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4868, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1)). 2.86/3.09 cnf(i_0_4135, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),hAPP(c_Nat_OSuc,X2))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))). 2.86/3.09 cnf(i_0_2391, plain, (hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(X1,X2))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))). 2.86/3.09 cnf(i_0_3151, plain, (hAPP(c_Relation_Oconverse(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3))=X3)). 2.86/3.09 cnf(i_0_745, plain, (hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X2)). 2.86/3.09 cnf(i_0_3070, plain, (hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X3)). 2.86/3.09 cnf(i_0_1352, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)). 2.86/3.09 cnf(i_0_5985, plain, (c_Fun_Ooverride__on(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X3)). 2.86/3.09 cnf(i_0_3363, plain, (c_Product__Type_Omap__pair(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))=c_Divides_OnegateSnd)). 2.86/3.09 cnf(i_0_4357, plain, (c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_2871, plain, (c_Relation_OId__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5674, plain, (hAPP(c_New__DSequence_Opos__decr__bind(X1,X2,X3,X4),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=c_Lazy__Sequence_Oempty(X2))). 2.86/3.09 cnf(i_0_4132, plain, (hAPP(c_New__DSequence_Oneg__decr__bind(X1,X2,X3,X4),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=c_Lazy__Sequence_Ohit__bound(X2))). 2.86/3.09 cnf(i_0_468, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4326, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X1))))). 2.86/3.09 cnf(i_0_3473, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_4979, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)))). 2.86/3.09 cnf(i_0_937, plain, (hAPP(c_Map_Omap__of(X1,X2,c_List_Olist_ONil(tc_prod(X1,X2))),X3)=c_Option_Ooption_ONone(X2))). 2.86/3.09 cnf(i_0_2999, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X2))))). 2.86/3.09 cnf(i_0_5167, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)))). 2.86/3.09 cnf(i_0_563, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5930, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X1)))). 2.86/3.09 cnf(i_0_7099, plain, (c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg))). 2.86/3.09 cnf(i_0_5224, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4))). 2.86/3.09 cnf(i_0_4518, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_6564, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))),X1)=X1)). 2.86/3.09 cnf(i_0_229, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_3689, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6946, plain, (c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3896, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))=X2)). 2.86/3.09 cnf(i_0_1516, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(X1,X2))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(X2)))). 2.86/3.09 cnf(i_0_1401, plain, (hAPP(c_Relation_OField(X1),hAPP(c_Relation_Oconverse(X1,X1),X2))=hAPP(c_Relation_OField(X1),X2))). 2.86/3.09 cnf(i_0_3449, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5233, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1365, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),X3),c_List_Olist_ONil(X2))=c_List_Olist_ONil(tc_prod(X1,X2)))). 2.86/3.09 cnf(i_0_5688, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),c_List_Olist_ONil(X1)),X3)=c_List_Olist_ONil(tc_prod(X1,X2)))). 2.86/3.09 cnf(i_0_5147, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1206, plain, (hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=X2)). 2.86/3.09 cnf(i_0_5049, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,X1,X2)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))). 2.86/3.09 cnf(i_0_6235, plain, (hAPP(hAPP(c_Relation_Orel__comp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Wellfounded_Opred__nat),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))=c_Wellfounded_Oless__than)). 2.86/3.09 cnf(i_0_3527, plain, (c_Product__Type_Ocurry(X1,X2,X3,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4))=X4)). 2.86/3.09 cnf(i_0_4643, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),c_Product__Type_Ocurry(X1,X2,X3,X4))=X4)). 2.86/3.09 cnf(i_0_2575, plain, (c_Divides_Odivmod__int(c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_4763, plain, (hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(X1,X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2))). 2.86/3.09 cnf(i_0_6847, plain, (c_List_Osublist(X1,X2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))=hAPP(hAPP(c_List_Otake(X1),X3),X2))). 2.86/3.09 cnf(i_0_4327, plain, (hAPP(c_Set_OPow(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1512, plain, (c_List_Oremove1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X3)). 2.86/3.09 cnf(i_0_4900, plain, (hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_2479, plain, (c_Option_Ooption_Ooption__rec(X1,X2,X3,X4,hAPP(c_Option_Ooption_OSome(X2),X5))=hAPP(X4,X5))). 2.86/3.09 cnf(i_0_65, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_6148, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Orev(X1),X2))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))). 2.86/3.09 cnf(i_0_3871, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Orotate1(X1),X2))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))). 2.86/3.09 cnf(i_0_6480, plain, (hAPP(c_Nat_Osize__class_Osize(tc_sum(X1,X2)),hAPP(c_Sum__Type_OInl(X1,X2),X3))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2634, plain, (hAPP(c_Nat_Osize__class_Osize(tc_sum(X1,X2)),hAPP(c_Sum__Type_OInr(X2,X1),X3))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2628, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))))). 2.86/3.09 cnf(i_0_1556, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_6399, plain, (c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel))). 2.86/3.09 cnf(i_0_6935, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olists(X1,X2))))). 2.86/3.09 cnf(i_0_936, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6438, plain, (hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2)))))). 2.86/3.09 cnf(i_0_870, plain, (c_Relation_Osingle__valued(X1,X1,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_6350, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(X1,X2)),c_Nitpick_Opair__box_OPairBox(X1,X2,X3,X4))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4045, plain, (hAPP(c_Map_Orestrict__map(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X4)=c_Option_Ooption_ONone(X2))). 2.86/3.09 cnf(i_0_2344, plain, (hAPP(c_Relation_ORange(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_985, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))). 2.86/3.09 cnf(i_0_5796, plain, (hAPP(c_Relation_ODomain(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1, plain, (hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_3698, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4018, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_7392, plain, (c_Transitive__Closure_Ortrancl(X1,hAPP(c_Relation_Oconverse(X1,X1),X2))=hAPP(c_Relation_Oconverse(X1,X1),c_Transitive__Closure_Ortrancl(X1,X2)))). 2.86/3.09 cnf(i_0_6709, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))=X2)). 2.86/3.09 cnf(i_0_1285, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=X2)). 2.86/3.09 cnf(i_0_7336, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X2)). 2.86/3.09 cnf(i_0_2309, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X2)). 2.86/3.09 cnf(i_0_1397, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(X1,X2,X3))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(X3)))). 2.86/3.09 cnf(i_0_4637, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OSKIP)=X2)). 2.86/3.09 cnf(i_0_1857, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OSKIP)=X2)). 2.86/3.09 cnf(i_0_4300, plain, (hAPP(c_Relation_OImage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_684, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_6612, plain, (hAPP(c_Relation_OField(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_803, plain, (hAPP(c_Random_Oiterate(X1,X2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral),X3),X4)=hAPP(c_Product__Type_OPair(X1,X2),X4))). 2.86/3.09 cnf(i_0_1324, plain, (c_Map_Odom(X1,X2,hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_291, plain, (c_Set_Othe__elem(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2)). 2.86/3.09 cnf(i_0_639, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),hAPP(X3,X4))=X3)). 2.86/3.09 cnf(i_0_2235, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)=X2)). 2.86/3.09 cnf(i_0_524, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)=X1)). 2.86/3.09 cnf(i_0_2718, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)=X2)). 2.86/3.09 cnf(i_0_586, plain, (c_Divides_Opdivmod(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)))). 2.86/3.09 cnf(i_0_5723, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X2)=X2)). 2.86/3.09 cnf(i_0_5453, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X4)). 2.86/3.09 cnf(i_0_7000, plain, (c_Map_Omap__add(X1,X2,hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)),X3)=X3)). 2.86/3.09 cnf(i_0_3092, plain, (c_Map_Omap__add(X1,X2,X3,hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)))=X3)). 2.86/3.09 cnf(i_0_4909, plain, (hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5),X4)=X5)). 2.86/3.09 cnf(i_0_278, plain, (c_Product__Type_Omap__pair(X1,X1,X2,X2,c_Fun_Oid(X1),c_Fun_Oid(X2))=c_Fun_Oid(tc_prod(X1,X2)))). 2.86/3.09 cnf(i_0_1245, plain, (c_Product__Type_Omap__pair(X1,X1,X2,X2,c_COMBI(X1),c_COMBI(X2))=c_Fun_Oid(tc_prod(X1,X2)))). 2.86/3.09 cnf(i_0_3650, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))=X1)). 2.86/3.09 cnf(i_0_6320, plain, (hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))). 2.86/3.09 cnf(i_0_2083, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))))). 2.86/3.09 cnf(i_0_796, plain, (c_Option_Oset(X1,hAPP(c_Option_Ooption_OSome(X1),X2))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_5507, plain, (c_List_Otranspose(X1,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2))=c_List_Otranspose(X1,X2))). 2.86/3.09 cnf(i_0_3593, plain, (hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(X1),X2),X3),X4),X5)=c_New__DSequence_Opos__single(X1,X2))). 2.86/3.09 cnf(i_0_5824, plain, (hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(X1),X2),X3),X4),X5)=c_New__DSequence_Oneg__single(X1,X2))). 2.86/3.09 cnf(i_0_5177, plain, (c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X1)=hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3106, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))))=X2)). 2.86/3.09 cnf(i_0_4226, plain, (hAPP(c_Option_Ooption_Ooption__case(X1,X2,X3,X4),hAPP(c_Option_Ooption_OSome(X2),X5))=hAPP(X4,X5))). 2.86/3.09 cnf(i_0_5111, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3107, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))))=X3)). 2.86/3.09 cnf(i_0_3435, plain, (hAPP(c_Relation_ORange(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3))=hAPP(c_Relation_ODomain(X2,X1),X3))). 2.86/3.09 cnf(i_0_339, plain, (hAPP(c_Relation_ODomain(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3))=hAPP(c_Relation_ORange(X2,X1),X3))). 2.86/3.09 cnf(i_0_1956, plain, (c_Relation_Orefl__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_2481, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))))). 2.86/3.09 cnf(i_0_2996, plain, (hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),X1))). 2.86/3.09 cnf(i_0_1120, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))))). 2.86/3.09 cnf(i_0_1327, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))))). 2.86/3.09 cnf(i_0_1575, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X1,X2),c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2)))))). 2.86/3.09 cnf(i_0_7260, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))). 2.86/3.09 cnf(i_0_6074, plain, (c_Hoare__Mirabelle_Otriple_Otriple__size(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1841, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Set_OPow(X1),X2))))). 2.86/3.09 cnf(i_0_4628, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_6136, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,X1))))))). 2.86/3.09 cnf(i_0_5579, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X1)))). 2.86/3.09 cnf(i_0_5743, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),X1)))). 2.86/3.09 cnf(i_0_605, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)))). 2.86/3.09 cnf(i_0_6679, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),esk450_1(X1)),c_Int_OInteg)))). 2.86/3.09 cnf(i_0_3728, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X4)))). 2.86/3.09 cnf(i_0_894, plain, (hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))). 2.86/3.09 cnf(i_0_5389, plain, (c_List_Oset__Cons(X1,X2,c_List_Olistset(X1,X3))=c_List_Olistset(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_4243, plain, (c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,X1))=hAPP(c_Nat_OSuc,c_Nat_Onat_Onat__size(X1)))). 2.86/3.09 cnf(i_0_3751, plain, (hAPP(hAPP(c_List_Odrop(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X3)). 2.86/3.09 cnf(i_0_7028, plain, (hAPP(hAPP(c_List_Olist__update(X1,X2),X3),hAPP(hAPP(c_List_Onth(X1),X2),X3))=X2)). 2.86/3.09 cnf(i_0_3824, plain, (c_Map_Oran(X1,X2,hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6999, plain, (c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_575, plain, (c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1731, plain, (hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1031, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5806, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4050, plain, (c_HOL_OThe(X1,c_Finite__Set_Ofold__graph(X2,X1,X3,X4,X5))=hAPP(hAPP(c_Finite__Set_Ofold(X2,X1,X3),X4),X5))). 2.86/3.09 cnf(i_0_3752, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_1419, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)). 2.86/3.09 cnf(i_0_4244, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,X1),hAPP(c_Code__Numeral_Onat__of,X2)))=c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,X1,X2))). 2.86/3.09 cnf(i_0_5951, plain, (hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1))=hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_752, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),X1),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_153, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2))). 2.86/3.09 cnf(i_0_6795, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3977, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_4380, plain, (c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X1)=hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_1366, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2))). 2.86/3.09 cnf(i_0_6880, plain, (c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(X1,X2,X3,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X4))))=hAPP(X3,X4))). 2.86/3.09 cnf(i_0_1331, plain, (hAPP(c_Sum__Type_OSumr(X1,X2,X3,X4),hAPP(c_Sum__Type_OInr(X1,X3),X5))=hAPP(X4,X5))). 2.86/3.09 cnf(i_0_941, plain, (hAPP(c_Sum__Type_OSuml(X1,X2,X3,X4),hAPP(c_Sum__Type_OInl(X1,X3),X5))=hAPP(X4,X5))). 2.86/3.09 cnf(i_0_7127, plain, (c_Sum__Type_Osum_Osum__rec(X1,X2,X3,X4,X5,hAPP(c_Sum__Type_OInl(X1,X3),X6))=hAPP(X4,X6))). 2.86/3.09 cnf(i_0_3341, plain, (c_Sum__Type_Osum_Osum__rec(X1,X2,X3,X4,X5,hAPP(c_Sum__Type_OInr(X3,X1),X6))=hAPP(X5,X6))). 2.86/3.09 cnf(i_0_419, plain, (c_Nitpick_Opair__box_Opair__box__rec(X1,X2,X3,X4,c_Nitpick_Opair__box_OPairBox(X1,X2,X5,X6))=hAPP(hAPP(X4,X5),X6))). 2.86/3.09 cnf(i_0_1945, plain, (c_Nitpick_Opair__box_Opair__box__case(X1,X2,X3,X4,c_Nitpick_Opair__box_OPairBox(X1,X2,X5,X6))=hAPP(hAPP(X4,X5),X6))). 2.86/3.09 cnf(i_0_3316, plain, (c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))). 2.86/3.09 cnf(i_0_5689, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))). 2.86/3.09 cnf(i_0_3990, plain, (hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,X1),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X1)))). 2.86/3.09 cnf(i_0_1918, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Odrop(X1),X2),X3))=hAPP(hAPP(c_List_Odrop(X1),X2),c_List_Obutlast(X1,X3)))). 2.86/3.09 cnf(i_0_6943, plain, (hAPP(c_Product__Type_Ofst(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Opartition(X1,X2,X3))=hAPP(c_List_Ofilter(X1,X2),X3))). 2.86/3.09 cnf(i_0_3566, plain, (hAPP(c_List_Oset(tc_Nat_Onat),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2)))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))). 2.86/3.09 cnf(i_0_4761, plain, (c_List_Oremove1(X1,X2,hAPP(c_List_Ofilter(X1,X3),X4))=hAPP(c_List_Ofilter(X1,X3),c_List_Oremove1(X1,X2,X4)))). 2.86/3.09 cnf(i_0_4892, plain, (hAPP(c_Set_Oimage(tc_prod(X1,X2),X2,c_Product__Type_Osnd(X1,X2)),X3)=hAPP(c_Relation_ORange(X1,X2),X3))). 2.86/3.09 cnf(i_0_3529, plain, (hAPP(c_Set_Oimage(tc_prod(X1,X2),X1,c_Product__Type_Ofst(X1,X2)),X3)=hAPP(c_Relation_ODomain(X1,X2),X3))). 2.86/3.09 cnf(i_0_4842, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2881, plain, (hAPP(c_Relation_OImage(X1,X1,c_Relation_OId__on(X1,X2)),X3)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_6633, plain, (c_Wellfounded_OwfP(X1,hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_2157, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X1),c_COMBK(X1,X2)),X3)=hAPP(c_Product__Type_Ofst(X1,X2),X3))). 2.86/3.09 cnf(i_0_5652, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))). 2.86/3.09 cnf(i_0_1656, plain, (hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),X5))). 2.86/3.09 cnf(i_0_3727, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,X1)),c_Int_OInteg)))). 2.86/3.09 cnf(i_0_4051, plain, (c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X1),X2))). 2.86/3.09 cnf(i_0_1145, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,X1)))). 2.86/3.09 cnf(i_0_572, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))))). 2.86/3.09 cnf(i_0_6047, plain, (hAPP(c_Relation_Oconverse(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel1(X1,X2))=c_List_Olistrel1(X1,hAPP(c_Relation_Oconverse(X1,X1),X2)))). 2.86/3.09 cnf(i_0_7360, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))). 2.86/3.09 cnf(i_0_5934, plain, (hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2)))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))). 2.86/3.09 cnf(i_0_1803, plain, (c_Smallcheck_Ofull__small_H(X1,hAPP(c_Code__Numeral_Oint__of,X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,X2)))=c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,X1,X2))). 2.86/3.09 cnf(i_0_2494, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_7396, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_57, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5223, plain, (hAPP(c_Finite__Set_Ofold1(X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X3)). 2.86/3.09 cnf(i_0_1085, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_2541, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4305, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X2)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6226, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)=c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,X1,X2))). 2.86/3.09 cnf(i_0_4790, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X1)))),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))=X1)). 2.86/3.09 cnf(i_0_4190, plain, (hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel)=c_Int_OInteg)). 2.86/3.09 cnf(i_0_1542, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,X3),X4),X5),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))=X5)). 2.86/3.09 cnf(i_0_7365, plain, (hAPP(c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))),X2)=X2)). 2.86/3.09 cnf(i_0_2463, plain, (hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X3,tc_prod(X2,X3)),X4),c_Product__Type_OPair(X2,X3))=X4)). 2.86/3.09 cnf(i_0_1240, plain, (hAPP(hAPP(c_Option_Omap(X1,X2),X3),hAPP(c_Option_Ooption_OSome(X1),X4))=hAPP(c_Option_Ooption_OSome(X2),hAPP(X3,X4)))). 2.86/3.09 cnf(i_0_406, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(X1,X2))=hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),X2)))). 2.86/3.09 cnf(i_0_5039, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1398, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_1456, plain, (c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_137, plain, (hAPP(c_Sum__Type_Osum_Osum__case(X1,X2,X3,X4,X5),hAPP(c_Sum__Type_OInl(X1,X3),X6))=hAPP(X4,X6))). 2.86/3.09 cnf(i_0_455, plain, (hAPP(c_Sum__Type_Osum_Osum__case(X1,X2,X3,X4,X5),hAPP(c_Sum__Type_OInr(X3,X1),X6))=hAPP(X5,X6))). 2.86/3.09 cnf(i_0_2352, plain, (c_Map_Omap__add(X1,X2,c_Map_Omap__add(X1,X2,X3,X4),X5)=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__add(X1,X2,X4,X5)))). 2.86/3.09 cnf(i_0_2937, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))))). 2.86/3.09 cnf(i_0_381, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),hAPP(c_List_Otl(X1),X3))=hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_OSuc,X2)),X3))). 2.86/3.09 cnf(i_0_2511, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_3287, plain, (c_Option_Ooption_Ooption__size(X1,X2,hAPP(c_Option_Ooption_OSome(X1),X3))=hAPP(c_Nat_OSuc,hAPP(X2,X3)))). 2.86/3.09 cnf(i_0_2664, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Obutlast(X1,X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))). 2.86/3.09 cnf(i_0_5493, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_1121, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))). 2.86/3.09 cnf(i_0_6860, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))). 2.86/3.09 cnf(i_0_3851, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),hAPP(c_Nat_OSuc,X2)))). 2.86/3.09 cnf(i_0_5359, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4)))). 2.86/3.09 cnf(i_0_3379, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_6150, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))))). 2.86/3.09 cnf(i_0_4242, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))))). 2.86/3.09 cnf(i_0_7277, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),hAPP(c_Nat_OSuc,X1))))). 2.86/3.09 cnf(i_0_5948, plain, (c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_6720, plain, (hAPP(c_Map_Orestrict__map(X1,X2,hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)),X3),X4)=c_Option_Ooption_ONone(X2))). 2.86/3.09 cnf(i_0_2792, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))). 2.86/3.09 cnf(i_0_7414, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))). 2.86/3.09 cnf(i_0_6346, plain, (c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X1))))=hAPP(c_Nat_OSuc,c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(X1)))). 2.86/3.09 cnf(i_0_911, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)=hAPP(c_Finite__Set_Ocard(X1),X2))). 2.86/3.09 cnf(i_0_5606, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))). 2.86/3.09 cnf(i_0_1960, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5402, plain, (hAPP(c_List_Oset(tc_Nat_Onat),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2)))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))). 2.86/3.09 cnf(i_0_849, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2))). 2.86/3.09 cnf(i_0_3894, plain, (c_Map_Odom(X1,X2,c_Map_Orestrict__map(X1,X2,X3,X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X3)),X4))). 2.86/3.09 cnf(i_0_5719, plain, (hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)=X2)). 2.86/3.09 cnf(i_0_6009, plain, (hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,X3,X4),X5),X6)=hAPP(X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)))). 2.86/3.09 cnf(i_0_78, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)))). 2.86/3.09 cnf(i_0_1286, plain, (c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_1287, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2)=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))). 2.86/3.09 cnf(i_0_3082, plain, (hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2)))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2))). 2.86/3.09 cnf(i_0_6960, plain, (c_Smallcheck_Osmall_H(X1,hAPP(c_Code__Numeral_Oint__of,X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,X2)))=hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),X1),X2))). 2.86/3.09 cnf(i_0_2072, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,hAPP(c_Com_Ocom_OBODY,X10))=hAPP(X8,X10))). 2.86/3.09 cnf(i_0_6180, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))). 2.86/3.09 cnf(i_0_4515, plain, (hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))). 2.86/3.09 cnf(i_0_5346, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,hAPP(c_Com_Ocom_OBODY,X10))=hAPP(X8,X10))). 2.86/3.09 cnf(i_0_1457, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),X2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_2281, plain, (hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_5704, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_4765, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))). 2.86/3.09 cnf(i_0_2827, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(X1,X2,X3))=hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),X3)))). 2.86/3.09 cnf(i_0_5541, plain, (c_Nat_Onat_Onat__case(X1,X2,hAPP(c_List_Onth(X1),X3),X4)=hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4))). 2.86/3.09 cnf(i_0_7342, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))). 2.86/3.09 cnf(i_0_2048, plain, (c_Sum__Type_OPlus(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X1,X2),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1910, plain, (hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X1,X3),hAPP(c_Product__Type_OPair(X2,X1),X4)),X5)=hAPP(X5,X4))). 2.86/3.09 cnf(i_0_3398, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_5372, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_2932, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_6632, plain, (hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))=hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))). 2.86/3.09 cnf(i_0_746, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_3732, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Otl(X1),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))). 2.86/3.09 cnf(i_0_2946, plain, (c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,X1),X2))). 2.86/3.09 cnf(i_0_1630, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,X2))))))). 2.86/3.09 cnf(i_0_5041, plain, (c_Natural_Oevaln(c_Com_Ocom_OAss(X1,X2),X3,X4,hAPP(hAPP(hAPP(c_Natural_Oupdate,X3),X1),hAPP(X2,X3))))). 2.86/3.09 cnf(i_0_322, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),hAPP(c_Set_OPow(X1),X2))))). 2.86/3.09 cnf(i_0_3596, plain, (hAPP(c_List_Olist_Olist__case(X1,X2,X3,X4),hAPP(hAPP(c_List_Olist_OCons(X2),X5),X6))=hAPP(hAPP(X4,X5),X6))). 2.86/3.09 cnf(i_0_4888, plain, (c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))=hAPP(hAPP(X4,X5),X6))). 2.86/3.09 cnf(i_0_6934, plain, (hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X1),X2))=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))). 2.86/3.09 cnf(i_0_847, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat))=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_470, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat))=c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_733, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OWhile(X10,X11))=hAPP(hAPP(X7,X10),X11))). 2.86/3.09 cnf(i_0_3286, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OAss(X10,X11))=hAPP(hAPP(X3,X10),X11))). 2.86/3.09 cnf(i_0_4334, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OSemi(X10,X11))=hAPP(hAPP(X5,X10),X11))). 2.86/3.09 cnf(i_0_6272, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OAss(X10,X11))=hAPP(hAPP(X3,X10),X11))). 2.86/3.09 cnf(i_0_3453, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat))=c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_2436, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat))=c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_162, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6232, plain, (hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_952, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),hAPP(c_Product__Type_Ofst(X1,X2),X3)),hAPP(c_Product__Type_Osnd(X1,X2),X3))=X3)). 2.86/3.09 cnf(i_0_6056, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(hAPP(c_List_Oappend(X1),X2),X3))=X2)). 2.86/3.09 cnf(i_0_954, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X2),X3),c_Transitive__Closure_Ortrancl(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_HOL_Obool))))=X3)). 2.86/3.09 cnf(i_0_4906, plain, (c_Sum__Type_OPlus(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X1,X2),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1328, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)=c_List_OtakeWhile(X1,X2,X3))). 2.86/3.09 cnf(i_0_1150, plain, (c_Map_Odom(X1,X2,hAPP(hAPP(c_COMBB(X2,tc_Option_Ooption(X2),X1),c_Option_Ooption_OSome(X2)),X3))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1544, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))),X3)=X3)). 2.86/3.09 cnf(i_0_5198, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),X1),X2))). 2.86/3.09 cnf(i_0_4726, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),X1),X2))). 2.86/3.09 cnf(i_0_3134, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2)))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),X1),X2))). 2.86/3.09 cnf(i_0_6969, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X1),X2))). 2.86/3.09 cnf(i_0_6057, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(hAPP(c_List_Oappend(X1),X2),X3))=X3)). 2.86/3.09 cnf(i_0_6703, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2))). 2.86/3.09 cnf(i_0_1340, plain, (c_Nitpick_Onorm__frac(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_209, plain, (c_Map_Orestrict__map(X1,X2,c_Map_Orestrict__map(X1,X2,X3,X4),X5)=c_Map_Orestrict__map(X1,X2,X3,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_2869, plain, (hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,X1,X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_5618, plain, (hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3))=hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_OSuc,X2)),X3))). 2.86/3.09 cnf(i_0_4378, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4865, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),X2))))). 2.86/3.09 cnf(i_0_814, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.86/3.09 cnf(i_0_364, plain, (hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3)))). 2.86/3.09 cnf(i_0_188, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,X1)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_5061, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2))))). 2.86/3.09 cnf(i_0_5332, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))))). 2.86/3.09 cnf(i_0_1211, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X2)))). 2.86/3.09 cnf(i_0_4420, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X3)))). 2.86/3.09 cnf(i_0_7279, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X2)))). 2.86/3.09 cnf(i_0_1149, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),X1))))). 2.86/3.09 cnf(i_0_6963, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),X1))))). 2.86/3.09 cnf(i_0_488, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),c_Transitive__Closure_Ortrancl(X1,X2)),X2)=hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))). 2.86/3.09 cnf(i_0_6534, plain, (hAPP(hAPP(c_List_Otake(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))). 2.86/3.09 cnf(i_0_6636, plain, (c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_6780, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Odrop(X1),X2),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X2))). 2.86/3.09 cnf(i_0_1927, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Otake(X1),X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X2))). 2.86/3.09 cnf(i_0_2986, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Odrop(X1),X2),X3))=X3)). 2.86/3.09 cnf(i_0_4839, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2))). 2.86/3.09 cnf(i_0_1971, plain, (c_Hoare__Mirabelle_Otriple_Otriple__rec(X1,X2,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X4),X5),X6))=hAPP(hAPP(hAPP(X3,X4),X5),X6))). 2.86/3.09 cnf(i_0_4419, plain, (c_Hoare__Mirabelle_Otriple_Otriple__case(X1,X2,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X4),X5),X6))=hAPP(hAPP(hAPP(X3,X4),X5),X6))). 2.86/3.09 cnf(i_0_2092, plain, (hAPP(c_Sum__Type_Osum_Osum__case(X1,X2,X3,hAPP(c_COMBK(X2,X1),X4),hAPP(c_COMBK(X2,X3),X4)),X5)=X4)). 2.86/3.09 cnf(i_0_4502, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_OSuc,X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Odrop(X1),X2),X4))). 2.86/3.09 cnf(i_0_4228, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X2),X1))). 2.86/3.09 cnf(i_0_5725, plain, (hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_OSuc,X2)),X3))=hAPP(hAPP(c_List_Otake(X1),X2),hAPP(c_List_Otl(X1),X3)))). 2.86/3.09 cnf(i_0_7032, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist__update(X1,X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))=c_List_Obutlast(X1,X2))). 2.86/3.09 cnf(i_0_5154, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(c_Nat_OSuc,X4))=hAPP(hAPP(c_List_Onth(X1),X3),X4))). 2.86/3.09 cnf(i_0_4192, plain, (hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),X1),X2)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,X1,X2))=c_Code__Numeral_Odiv__mod__code__numeral(X1,X2))). 2.86/3.09 cnf(i_0_2796, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X3),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5110, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4)=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))). 2.86/3.09 cnf(i_0_1103, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))). 2.86/3.09 cnf(i_0_6229, plain, (hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),X2)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3780, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))),X4)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X3),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5724, plain, (c_HOL_OThe(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2)). 2.86/3.09 cnf(i_0_6420, plain, (c_Hilbert__Choice_OEps(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2)). 2.86/3.09 cnf(i_0_2164, plain, (c_Finite__Set_Ofold(X1,X2,hAPP(hAPP(c_COMBB(X2,tc_fun(X2,X2),X1),X3),X4))=hAPP(c_Finite__Set_Ofold__image(X2,X1,X3),X4))). 2.86/3.09 cnf(i_0_6694, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(tc_Nat_Onat,X1,X2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),X3)))))). 2.86/3.09 cnf(i_0_791, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),c_COMBI(tc_fun(X1,tc_HOL_Obool)))=c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2))). 2.86/3.09 cnf(i_0_531, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),c_COMBI(tc_fun(X1,tc_HOL_Obool)))=c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))). 2.86/3.09 cnf(i_0_2458, plain, (c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))). 2.86/3.09 cnf(i_0_3484, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))=hAPP(hAPP(X4,X5),X6))). 2.86/3.09 cnf(i_0_812, plain, (hAPP(c_Relation_Oconverse(X1,X1),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))=c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_1572, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1)))))). 2.86/3.09 cnf(i_0_2090, plain, (hAPP(c_Relation_ORange(X1,X1),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))=hAPP(c_Relation_ORange(X1,X1),X2))). 2.86/3.09 cnf(i_0_6991, plain, (hAPP(c_Relation_ODomain(X1,X1),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))=hAPP(c_Relation_ODomain(X1,X1),X2))). 2.86/3.09 cnf(i_0_5761, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),hAPP(c_List_Oset(X1),X2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.86/3.09 cnf(i_0_2846, plain, (c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(X1))),c_List_Otranspose(X1,X2)))))). 2.86/3.09 cnf(i_0_674, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(X1,X2)),X3),hAPP(hAPP(hAPP(c_Natural_Oupdate,X3),X1),hAPP(X2,X3)))))). 2.86/3.09 cnf(i_0_62, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_2874, plain, (hAPP(hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X3,X4),X5),X6),X7)=hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X2,X3,X4),X6),hAPP(X5,X7)))). 2.86/3.09 cnf(i_0_920, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),c_Transitive__Closure_Ortrancl(X1,X3))))). 2.86/3.09 cnf(i_0_932, plain, (c_Sum__Type_Osum_Osum__size(X1,X2,X3,X4,hAPP(c_Sum__Type_OInr(X2,X1),X5))=hAPP(c_Nat_OSuc,hAPP(X4,X5)))). 2.86/3.09 cnf(i_0_1269, plain, (c_Sum__Type_Osum_Osum__size(X1,X2,X3,X4,hAPP(c_Sum__Type_OInl(X1,X2),X5))=hAPP(c_Nat_OSuc,hAPP(X3,X5)))). 2.86/3.09 cnf(i_0_655, plain, (c_Map_Omap__add(X1,X2,c_Map_Omap__of(X1,X2,X3),c_Map_Omap__of(X1,X2,X4))=c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Oappend(tc_prod(X1,X2)),X4),X3)))). 2.86/3.09 cnf(i_0_710, plain, (hAPP(c_Product__Type_Ofst(X1,X2),hAPP(c_Product__Type_Omap__pair(X3,X1,X4,X2,X5,X6),X7))=hAPP(X5,hAPP(c_Product__Type_Ofst(X3,X4),X7)))). 2.86/3.09 cnf(i_0_823, plain, (hAPP(c_Product__Type_Osnd(X1,X2),hAPP(c_Product__Type_Omap__pair(X3,X1,X4,X2,X5,X6),X7))=hAPP(X6,hAPP(c_Product__Type_Osnd(X3,X4),X7)))). 2.86/3.09 cnf(i_0_6890, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OCall(X10,X11,X12))=hAPP(hAPP(hAPP(X9,X10),X11),X12))). 2.86/3.09 cnf(i_0_4230, plain, (hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))). 2.86/3.09 cnf(i_0_4388, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OCond(X10,X11,X12))=hAPP(hAPP(hAPP(X6,X10),X11),X12))). 2.86/3.09 cnf(i_0_148, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OLocal(X10,X11,X12))=hAPP(hAPP(hAPP(X4,X10),X11),X12))). 2.86/3.09 cnf(i_0_3314, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,c_Com_Ocom_OCall(X10,X11,X12))=hAPP(hAPP(hAPP(X9,X10),X11),X12))). 2.86/3.09 cnf(i_0_2262, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X2))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6294, plain, (hAPP(c_List_Oset(X1),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3))=hAPP(c_List_Oset(X1),X3))). 2.86/3.09 cnf(i_0_2162, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4)),X3),X5)=hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X5))). 2.86/3.09 cnf(i_0_4544, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_6555, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))). 2.86/3.09 cnf(i_0_1604, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_3474, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_1138, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_7371, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(c_List_Orev(X1),X2)),hAPP(c_List_Orev(X1),X3))=hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Oappend(X1),X3),X2)))). 2.86/3.09 cnf(i_0_167, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X1))))=hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),X1)))). 2.86/3.09 cnf(i_0_2915, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3))). 2.86/3.09 cnf(i_0_491, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2),X3))). 2.86/3.09 cnf(i_0_2480, plain, (c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),hAPP(c_Set_Oimage(X2,tc_fun(X1,tc_HOL_Obool),X3),X4))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_HOL_Obool)),X4),X3))). 2.86/3.09 cnf(i_0_3737, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(c_Set_Oimage(X2,tc_fun(X1,tc_HOL_Obool),X3),X4))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X4),X3))). 2.86/3.09 cnf(i_0_1745, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X3),X2))). 2.86/3.09 cnf(i_0_250, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3),X2))). 2.86/3.09 cnf(i_0_2678, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)=c_List_Obutlast(X1,X2))). 2.86/3.09 cnf(i_0_1769, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_2014, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)))). 2.86/3.09 cnf(i_0_1612, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_3175, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))). 2.86/3.09 cnf(i_0_5637, plain, (hAPP(hAPP(hAPP(c_Nat_Ocompow(X1,X1),X2),X3),hAPP(X3,X4))=hAPP(X3,hAPP(hAPP(hAPP(c_Nat_Ocompow(X1,X1),X2),X3),X4)))). 2.86/3.09 cnf(i_0_4538, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_5610, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_6253, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_2379, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),hAPP(hAPP(c_List_Odrop(X1),X3),X4))=hAPP(hAPP(c_List_Odrop(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)),X4))). 2.86/3.09 cnf(i_0_3069, plain, (hAPP(hAPP(c_List_Otake(X1),X2),hAPP(hAPP(c_List_Otake(X1),X3),X4))=hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),X2),X3)),X4))). 2.86/3.09 cnf(i_0_5100, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)=hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))). 2.86/3.09 cnf(i_0_5774, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),X4)=hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))). 2.86/3.09 cnf(i_0_2726, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_1904, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_1680, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X2),hAPP(c_COMBK(tc_fun(X2,X2),X1),c_COMBI(X2))),X3)=hAPP(c_Product__Type_Osnd(X1,X2),X3))). 2.86/3.09 cnf(i_0_958, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,X1)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.86/3.09 cnf(i_0_2418, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X2),hAPP(c_Set_OPow(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)))))). 2.86/3.09 cnf(i_0_4463, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.86/3.09 cnf(i_0_2340, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),c_List_Oremove1(X1,X2,X3))),hAPP(c_List_Oset(X1),X3))))). 2.86/3.09 cnf(i_0_1716, plain, (hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X1),X2,c_Option_Ooption_ONone(X1),hAPP(c_COMBK(tc_Option_Ooption(X1),X2),c_Option_Ooption_ONone(X1))),hAPP(X3,X4))=c_Option_Ooption_ONone(X1))). 2.86/3.09 cnf(i_0_3589, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),c_List_Osublist(X1,X2,X3))),hAPP(c_List_Oset(X1),X2))))). 2.86/3.09 cnf(i_0_111, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),hAPP(c_Set_Oimage(X2,tc_Option_Ooption(X1),c_Map_Omap__of(X2,X1,X3)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_2004, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(X1)),c_Com_Ocom_Ocom__size(X2)))=c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(X1,X2)))). 2.86/3.09 cnf(i_0_5013, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ODomain(X1,X1),X2)),hAPP(c_Relation_ORange(X1,X1),X2))=hAPP(c_Relation_OField(X1),X2))). 2.86/3.09 cnf(i_0_2187, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))). 2.86/3.09 cnf(i_0_6258, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))). 2.86/3.09 cnf(i_0_3390, plain, (hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X1))))). 2.86/3.09 cnf(i_0_2815, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_6227, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_1696, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,X2),hAPP(hAPP(c_Nat_Ocompow(X1,X1),X3),X2))=hAPP(hAPP(c_Nat_Ocompow(X1,X1),hAPP(c_Nat_OSuc,X3)),X2))). 2.86/3.09 cnf(i_0_6045, plain, (c_Random_Oselect__weight(X1,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,X1)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,X1),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),X2)),X3))=c_Random_Oselect__weight(X1,X3))). 2.86/3.09 cnf(i_0_5509, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2676, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2))))=hAPP(hAPP(c_Nitpick_Oint__gcd,X1),X2))). 2.86/3.09 cnf(i_0_6879, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))). 2.86/3.09 cnf(i_0_7204, plain, (c_Option_Ooption_Ooption__case(tc_Option_Ooption(X1),X2,c_Option_Ooption_ONone(X1),hAPP(hAPP(c_COMBB(X1,tc_Option_Ooption(X1),X2),c_Option_Ooption_OSome(X1)),X3))=hAPP(c_Option_Omap(X2,X1),X3))). 2.86/3.09 cnf(i_0_6355, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))),X4))=X2)). 2.86/3.09 cnf(i_0_3412, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X3)),c_Map_Odom(X1,X2,X4))=c_Map_Odom(X1,X2,c_Map_Omap__add(X1,X2,X4,X3)))). 2.86/3.09 cnf(i_0_3231, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Ofilter(X1,X2),X3))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.86/3.09 cnf(i_0_7298, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))),X4))=X2)). 2.86/3.09 cnf(i_0_2510, plain, (c_Fun_Oinj__on(X1,tc_prod(X2,X1),esk144_4(X3,X4,X2,X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X4),X3)))). 2.86/3.09 cnf(i_0_592, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))),X3)),X4)=X4)). 2.86/3.09 cnf(i_0_3261, plain, (c_Relation_Oirrefl(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_5119, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))=X1)). 2.86/3.09 cnf(i_0_4206, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),X1,hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Olist_ONil(X1)),X2)=hAPP(c_List_Orev(X1),X2))). 2.86/3.09 cnf(i_0_467, plain, (c_Lazy__Sequence_Obind(X1,X2,hAPP(X3,X4),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2)),X5),X4))=hAPP(c_New__DSequence_Opos__bind(X1,X2,X3,X5),X4))). 2.86/3.09 cnf(i_0_3973, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1208, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))). 2.86/3.09 cnf(i_0_709, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))). 2.86/3.09 cnf(i_0_4978, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3))). 2.86/3.09 cnf(i_0_1205, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X2)),hAPP(c_List_Oset(X1),X3))=hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)))). 2.86/3.09 cnf(i_0_708, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)))). 2.86/3.09 cnf(i_0_5235, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X3)),X2))). 2.86/3.09 cnf(i_0_6870, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3))=c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_1250, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X3))=c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_1492, plain, (hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),X1),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),X3)))=c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),X3)))). 2.86/3.09 cnf(i_0_4191, plain, (hAPP(c_Set_Ovimage(X1,X2,X3),X4)=hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3))). 2.86/3.09 cnf(i_0_3693, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1))=X2)). 2.86/3.09 cnf(i_0_6494, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_COMBI(X1))=X2)). 2.86/3.09 cnf(i_0_80, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1753, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X3)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_388, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(X1,X2))=c_List_Olex(X1,X2))). 2.86/3.09 cnf(i_0_5021, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X2))). 2.86/3.09 cnf(i_0_635, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X4),X3))),X4)))). 2.86/3.09 cnf(i_0_3755, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_OSuc,X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Olist_OCons(X1),X3),hAPP(hAPP(c_List_Otake(X1),X2),X4)))). 2.86/3.09 cnf(i_0_845, plain, (hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2)))=c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)))). 2.86/3.09 cnf(i_0_1351, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_3792, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_3202, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_6425, plain, (hAPP(c_List_Ofoldl(X1,X2,X3,hAPP(c_List_Ofoldl(X1,X2,X3,X4),X5)),X6)=hAPP(c_List_Ofoldl(X1,X2,X3,X4),hAPP(hAPP(c_List_Oappend(X2),X5),X6)))). 2.86/3.09 cnf(i_0_242, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_196, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X3))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4554, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3))),hAPP(c_List_Oset(X1),X3))))). 2.86/3.09 cnf(i_0_2980, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3))),hAPP(c_List_Oset(X1),X3))))). 2.86/3.09 cnf(i_0_852, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),c_List_Olistrel(X1,X2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2)))))). 2.86/3.09 cnf(i_0_7332, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X1,X2),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))))). 2.86/3.09 cnf(i_0_3903, plain, (hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2))),X3),c_Option_Ooption_ONone(X2)),X4)=c_Option_Ooption_ONone(X2))). 2.86/3.09 cnf(i_0_9, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_662, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)))). 2.86/3.09 cnf(i_0_4652, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(c_List_Ofilter(X1,X2),X3)),hAPP(c_List_Ofilter(X1,X2),X4))=hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))). 2.86/3.09 cnf(i_0_1387, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6841, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))=X3)). 2.86/3.09 cnf(i_0_835, plain, (c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,c_List_Olist_ONil(tc_prod(X1,X2))))=X3)). 2.86/3.09 cnf(i_0_4232, plain, (c_Lazy__Sequence_Ohb__bind(X1,X2,hAPP(X3,X4),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2))),X5),X4))=hAPP(c_New__DSequence_Oneg__bind(X1,X2,X3,X5),X4))). 2.86/3.09 cnf(i_0_2705, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(c_List_Orev(X1),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))=hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2)))). 2.86/3.09 cnf(i_0_4848, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(X1),X3))=hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)))). 2.86/3.09 cnf(i_0_6613, plain, (hAPP(hAPP(c_Nat_Ocompow(X1,X1),X2),hAPP(hAPP(c_Nat_Ocompow(X1,X1),X3),X4))=hAPP(hAPP(c_Nat_Ocompow(X1,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)),X4))). 2.86/3.09 cnf(i_0_5073, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_4525, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))). 2.86/3.09 cnf(i_0_3080, plain, (c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_3490, plain, (c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_4395, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(X1)),c_Option_Ooption_ONone(X1)),hAPP(c_Set_Oimage(X1,tc_Option_Ooption(X1),c_Option_Ooption_OSome(X1)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4271, plain, (c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),X1)),X2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2))). 2.86/3.09 cnf(i_0_1626, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),c_Com_Ocom_OSKIP),X3))))). 2.86/3.09 cnf(i_0_4302, plain, (hAPP(hAPP(c_List_Omap(tc_Nat_Onat,X1),hAPP(c_List_Onth(X1),X2)),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))=X2)). 2.86/3.09 cnf(i_0_2667, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_4651, plain, (c_Nitpick_Opair__box_Opair__box__size(X1,X2,X3,X4,c_Nitpick_Opair__box_OPairBox(X1,X2,X5,X6))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(X3,X5)),hAPP(c_Nat_OSuc,hAPP(X4,X6))))). 2.86/3.09 cnf(i_0_7230, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_2636, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(X1,tc_Nat_Onat),X3),X2)))=c_List_Olist_Olist__size(X1,X3,X2))). 2.86/3.09 cnf(i_0_41, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2)),X3)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_5904, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2)),X3)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_1016, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))). 2.86/3.09 cnf(i_0_6885, plain, (c_Map_Odom(X1,X2,c_Map_Omap__of(X1,X2,X3))=hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3)))). 2.86/3.09 cnf(i_0_5858, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3)))))). 2.86/3.09 cnf(i_0_7005, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(c_Nat_OSuc,X4)),X5)=hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Olist__update(X1,X3),X4),X5)))). 2.86/3.09 cnf(i_0_748, plain, (hAPP(c_Product__Type_Omap__pair(X1,X2,X3,X4,X5,X6),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X7),X8))=hAPP(hAPP(c_Product__Type_OPair(X2,X4),hAPP(X5,X7)),hAPP(X6,X8)))). 2.86/3.09 cnf(i_0_5644, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,X3)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_5656, plain, (c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X1)),X2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2))). 2.86/3.09 cnf(i_0_5381, plain, (hAPP(hAPP(c_Nat_Ocompow(tc_fun(X1,X2),tc_fun(X1,X2)),X3),c_Fun_Ocomp(X2,X2,X1,X4))=c_Fun_Ocomp(X2,X2,X1,hAPP(hAPP(c_Nat_Ocompow(X2,X2),X3),X4)))). 2.86/3.09 cnf(i_0_1727, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),c_List_Olistrel1(X1,c_Transitive__Closure_Ortrancl(X1,X2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2)))))). 2.86/3.09 cnf(i_0_5544, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OField(X1),X2)),hAPP(c_Relation_OField(X1),X3))=hAPP(c_Relation_OField(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_1758, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))=X2)). 2.86/3.09 cnf(i_0_7154, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X3))=hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),X2),X3))). 2.86/3.09 cnf(i_0_1589, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),c_List_OtakeWhile(X1,hAPP(c_Fun_Ocomp(X2,tc_HOL_Obool,X1,X4),X3),X5))=c_List_OtakeWhile(X2,X4,hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))). 2.86/3.09 cnf(i_0_1146, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Orestrict__map(X1,X2,X3,X4)),X5),hAPP(X3,X5))=c_Map_Orestrict__map(X1,X2,X3,hAPP(hAPP(c_Set_Oinsert(X1),X5),X4)))). 2.86/3.09 cnf(i_0_5333, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),X1)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))=hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_91, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5492, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_COMBB(X3,tc_HOL_Obool,X1),hAPP(hAPP(c_Set_Oinsert(X3),hAPP(X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))),X4))))). 2.86/3.09 cnf(i_0_596, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5)),X4),X6)=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X6))). 2.86/3.09 cnf(i_0_5150, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Olist_OCons(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5)),X3)=hAPP(c_Option_Ooption_OSome(X2),X4))). 2.86/3.09 cnf(i_0_5646, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_5642, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_480, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_3078, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))). 2.86/3.09 cnf(i_0_3710, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_6109, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))). 2.86/3.09 cnf(i_0_4894, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)),hAPP(hAPP(c_List_Odrop(X1),X3),X4))=hAPP(hAPP(c_List_Odrop(X1),X3),hAPP(hAPP(c_List_Otake(X1),X2),X4)))). 2.86/3.09 cnf(i_0_4258, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2)))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))))). 2.86/3.09 cnf(i_0_2059, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)),X2))). 2.86/3.09 cnf(i_0_3428, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X3)),X2))). 2.86/3.09 cnf(i_0_1019, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2))). 2.86/3.09 cnf(i_0_3611, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)),X2))). 2.86/3.09 cnf(i_0_4459, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),X1),X3)),X2))). 2.86/3.09 cnf(i_0_6427, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)),X4))=hAPP(hAPP(c_List_Otake(X1),X3),hAPP(hAPP(c_List_Odrop(X1),X2),X4)))). 2.86/3.09 cnf(i_0_4432, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(X1),X2)),hAPP(c_Set_OPow(X1),X3))=hAPP(c_Set_OPow(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_5360, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X2),X3)),X3)=hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X2)),X3))). 2.86/3.09 cnf(i_0_846, plain, (c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_2270, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1))),c_List_Olistrel(X1,X2))))). 2.86/3.09 cnf(i_0_5745, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2))=hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(X1))),X2)))). 2.86/3.09 cnf(i_0_6289, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(X1,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X3),c_Set_Ovimage(X2,X1,X4))=hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)),X4))). 2.86/3.09 cnf(i_0_4143, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X4))=hAPP(hAPP(c_List_Onth(X1),X3),X4))). 2.86/3.09 cnf(i_0_6766, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),X1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),X2)))=hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(X1,X2)))). 2.86/3.09 cnf(i_0_5764, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)),hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Odrop(X1),X3),X2)))). 2.86/3.09 cnf(i_0_813, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)),hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Otake(X1),X3),X2)))). 2.86/3.09 cnf(i_0_1137, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X3),hAPP(c_Relation_Oconverse(X2,X1),X4)),hAPP(c_Relation_Oconverse(X3,X2),X5))=hAPP(c_Relation_Oconverse(X3,X1),hAPP(hAPP(c_Relation_Orel__comp(X3,X2,X1),X5),X4)))). 2.86/3.09 cnf(i_0_6197, plain, (hAPP(c_List_Oset(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(X1),tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)),c_List_Oset(X1)))). 2.86/3.09 cnf(i_0_7400, plain, (c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(X1,X3)))=c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_214, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),c_Int_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),X1)=X1)). 2.86/3.09 cnf(i_0_5237, plain, (hAPP(c_List_Orotate1(X1),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3))=hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(c_Nat_OSuc,X2)),c_List_Orotate1(X1)),X3))). 2.86/3.09 cnf(i_0_877, plain, (hAPP(c_Relation_ODomain(X1,X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3))=hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X2)),X3))). 2.86/3.09 cnf(i_0_4818, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),X1)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))=hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)))). 2.86/3.09 cnf(i_0_5163, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))))). 2.86/3.09 cnf(i_0_3952, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(c_List_Ofilter(X1,hAPP(c_Fun_Ocomp(X2,tc_HOL_Obool,X1,X4),X3)),X5))=hAPP(c_List_Ofilter(X2,X4),hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))). 2.86/3.09 cnf(i_0_4757, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2)). 2.86/3.09 cnf(i_0_3509, plain, (hAPP(c_Relation_ORange(X1,X2),hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(c_Relation_ORange(X1,X2),X5)))). 2.86/3.09 cnf(i_0_881, plain, (hAPP(c_Relation_ODomain(X1,X2),hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(c_Relation_ODomain(X1,X2),X5)))). 2.86/3.09 cnf(i_0_7024, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))). 2.86/3.09 cnf(i_0_4795, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_4209, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_4053, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_6475, plain, (hAPP(c_Set_Oimage(tc_fun(X1,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),c_Set_Oimage(X1,X2,X3)),hAPP(c_Set_OPow(X1),X4))=hAPP(c_Set_OPow(X2),hAPP(c_Set_Oimage(X1,X2,X3),X4)))). 2.86/3.09 cnf(i_0_1008, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)),X3))=c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_1229, plain, (c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)),X3))=c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_1909, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ODomain(X1,X2),X3)),hAPP(c_Relation_ODomain(X1,X2),X4))=hAPP(c_Relation_ODomain(X1,X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_4370, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ORange(X2,X1),X3)),hAPP(c_Relation_ORange(X2,X1),X4))=hAPP(c_Relation_ORange(X2,X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_5525, plain, (c_Fun_Oinj__on(X1,tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_5752, plain, (c_Fun_Oinj__on(tc_prod(X1,X2),tc_prod(X2,X1),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X2,X1)),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Product__Type_OPair(X2,X1))),X3))). 2.86/3.09 cnf(i_0_1869, plain, (hAPP(c_Fun_Ocomp(tc_List_Olist(X1),tc_List_Olist(X2),tc_List_Olist(X3),hAPP(c_List_Omap(X1,X2),X4)),hAPP(c_List_Omap(X3,X1),X5))=hAPP(c_List_Omap(X3,X2),hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5)))). 2.86/3.09 cnf(i_0_6481, plain, (hAPP(c_Fun_Ocomp(tc_Option_Ooption(X1),tc_Option_Ooption(X2),tc_Option_Ooption(X3),hAPP(c_Option_Omap(X1,X2),X4)),hAPP(c_Option_Omap(X3,X1),X5))=hAPP(c_Option_Omap(X3,X2),hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5)))). 2.86/3.09 cnf(i_0_810, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Relation_OId__on(X1,X2)),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2)))))). 2.86/3.09 cnf(i_0_1867, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))=c_Wellfounded_Opred__nat)). 2.86/3.09 cnf(i_0_4720, plain, (hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(c_List_Ofilter(X1,X2),X3)),hAPP(c_List_Ofilter(X1,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,X1,c_fNot),X2)),X3))=c_List_Opartition(X1,X2,X3))). 2.86/3.09 cnf(i_0_1625, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(X1,X2))),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)))). 2.86/3.09 cnf(i_0_3404, plain, (hAPP(c_Finite__Set_Ocard(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X3)),hAPP(c_Finite__Set_Ocard(X2),X4)))). 2.86/3.09 cnf(i_0_654, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4)),hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))=hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(hAPP(c_List_Oappend(X2),X4),X5)))). 2.86/3.09 cnf(i_0_1773, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Odrop(X1),X3),X4)),hAPP(hAPP(c_List_Odrop(X2),X3),X5))=hAPP(hAPP(c_List_Odrop(tc_prod(X1,X2)),X3),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5)))). 2.86/3.09 cnf(i_0_6152, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Otake(X1),X3),X4)),hAPP(hAPP(c_List_Otake(X2),X3),X5))=hAPP(hAPP(c_List_Otake(tc_prod(X1,X2)),X3),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5)))). 2.86/3.09 cnf(i_0_287, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))),X3))). 2.86/3.09 cnf(i_0_5826, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X3)),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X2),c_Product__Type_Osnd(X1,X2)),X3))=X3)). 2.86/3.09 cnf(i_0_6983, plain, (c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat)),X1)),X2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,X1)))). 2.86/3.09 cnf(i_0_6725, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4))),hAPP(hAPP(c_Set_Oinsert(X1),X4),hAPP(c_List_Oset(X1),X2)))))). 2.86/3.09 cnf(i_0_6100, plain, (c_New__Random__Sequence_Opos__bind(X1,X2,X3,hAPP(c_Fun_Ocomp(X2,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2))))),X1,c_New__Random__Sequence_Opos__single(X2)),X4))=c_New__Random__Sequence_Opos__map(X1,X2,X4,X3))). 2.86/3.09 cnf(i_0_570, plain, (c_Map_Odom(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2))),X3),hAPP(c_Option_Ooption_OSome(X2),X4)))=hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_7248, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_5086, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X3),X2))=hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X3)),X2))). 2.86/3.09 cnf(i_0_1404, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)),X3))). 2.86/3.09 cnf(i_0_5794, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5))=hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_2015, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),X4)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X5),X4))=hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_2569, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),X4)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X5),X4))=hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_3815, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),X4)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X5),X4))=hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_4722, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),X4)),hAPP(c_Relation_OImage(X2,X1,X3),X5))=hAPP(c_Relation_OImage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_7308, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(hAPP(c_Nat_Ocompow(X1,X1),X2),X3)),hAPP(hAPP(c_Nat_Ocompow(X1,X1),X4),X3))=hAPP(hAPP(c_Nat_Ocompow(X1,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4)),X3))). 2.86/3.09 cnf(i_0_83, plain, (hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))),c_List_Orotate1(X1)),X3)=hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3))). 2.86/3.09 cnf(i_0_7337, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(X2,X1),X3)),hAPP(c_Relation_Oconverse(X2,X1),X4))=hAPP(c_Relation_Oconverse(X2,X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_4793, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(X2,X1),X3)),hAPP(c_Relation_Oconverse(X2,X1),X4))=hAPP(c_Relation_Oconverse(X2,X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_1266, plain, (hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),X1)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X1)))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,X1),X2))). 2.86/3.09 cnf(i_0_4293, plain, (c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat)),X1)),X2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,X1)))). 2.86/3.09 cnf(i_0_5153, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(X1)),X2),X3))=hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),X2),X3))). 2.86/3.09 cnf(i_0_7134, plain, (c_New__Random__Sequence_Oneg__bind(X1,X2,X3,hAPP(c_Fun_Ocomp(X2,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2)))))),X1,c_New__Random__Sequence_Oneg__single(X2)),X4))=c_New__Random__Sequence_Oneg__map(X1,X2,X4,X3))). 2.86/3.09 cnf(i_0_5192, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))),c_List_Olexord(X1,X4))))). 2.86/3.09 cnf(i_0_2971, plain, (c_Map_Omap__add(X1,X2,X3,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X4),X5),hAPP(c_Option_Ooption_OSome(X2),X6)))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__add(X1,X2,X3,X4)),X5),hAPP(c_Option_Ooption_OSome(X2),X6)))). 2.86/3.09 cnf(i_0_6157, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Transitive__Closure_Ortrancl(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool))))=c_FunDef_Opair__leq)). 2.86/3.09 cnf(i_0_968, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),hAPP(c_COMBC(X1,X2,X1),X3)),X4),X5)=hAPP(c_List_Ofoldl(X1,X2,X3,X4),X5))). 2.86/3.09 cnf(i_0_1490, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2),X3)))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_6572, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_2461, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),X4)),hAPP(c_Relation_OImage(X2,X1,X5),X4))=hAPP(c_Relation_OImage(X2,X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_1183, plain, (c_Nat_Onat_Onat__case(tc_List_Olist(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Odrop(X1)),X3),X4)=hAPP(hAPP(c_List_Odrop(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)))). 2.86/3.09 cnf(i_0_5373, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X5)=hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)))). 2.86/3.09 cnf(i_0_3778, plain, (hAPP(c_Relation_OImage(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olistrel(X1,X2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))=hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3503, plain, (c_List_OtakeWhile(tc_prod(X1,X2),hAPP(c_Fun_Ocomp(X2,tc_HOL_Obool,tc_prod(X1,X2),X3),c_Product__Type_Osnd(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))=hAPP(hAPP(c_List_Ozip(X1,X2),X4),c_List_OtakeWhile(X2,X3,X5)))). 2.86/3.09 cnf(i_0_5598, plain, (c_List_OtakeWhile(tc_prod(X1,X2),hAPP(c_Fun_Ocomp(X1,tc_HOL_Obool,tc_prod(X1,X2),X3),c_Product__Type_Ofst(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))=hAPP(hAPP(c_List_Ozip(X1,X2),c_List_OtakeWhile(X1,X3,X4)),X5))). 2.86/3.09 cnf(i_0_2548, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Set_Oinsert(X2),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_766, plain, (c_Sum__Type_Osum_Osum__case(X1,X2,X3,hAPP(hAPP(c_COMBB(tc_sum(X1,X3),X2,X1),X4),c_Sum__Type_OInl(X1,X3)),hAPP(hAPP(c_COMBB(tc_sum(X1,X3),X2,X3),X4),c_Sum__Type_OInr(X3,X1)))=X4)). 2.86/3.09 cnf(i_0_75, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,X3),X1),hAPP(c_COMBB(tc_prod(X1,X2),X3,X2),X4)),c_Product__Type_OPair(X1,X2)))=X4)). 2.86/3.09 cnf(i_0_6144, plain, (c_Divides_Odivmod__int(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2))=c_Divides_Opdivmod(X1,X2))). 2.86/3.09 cnf(i_0_996, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Oremdups(X1,hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(X1),tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)),c_List_Oset(X1))))). 2.86/3.09 cnf(i_0_7026, plain, (hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(X2,tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),X1),c_member(X2)),X3)),X4)=hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3))). 2.86/3.09 cnf(i_0_132, plain, (c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_6531, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_1485, plain, (hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fdisj),X2)),X3)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_1746, plain, (hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))). 2.86/3.09 cnf(i_0_5309, plain, (c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)))). 2.86/3.09 cnf(i_0_3555, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(c_List_Ofilter(X1,X3),X4))=hAPP(c_List_Ofilter(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2)),X4))). 2.86/3.09 cnf(i_0_7274, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(X1,hAPP(c_Product__Type_Ofst(X2,X3),X4))),hAPP(X5,hAPP(c_Product__Type_Osnd(X2,X3),X4))))=c_Product__Type_Oprod_Oprod__size(X2,X3,X1,X5,X4))). 2.86/3.09 cnf(i_0_6220, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4121, plain, (hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),X2))). 2.86/3.09 cnf(i_0_873, plain, (c_Map_Odom(X1,X2,hAPP(hAPP(c_COMBS(X1,tc_Option_Ooption(X3),tc_Option_Ooption(X2)),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_Option_Ooption(X3),tc_Option_Ooption(X2)),X1),c_Option_Omap(X3,X2)),X4)),X5))=c_Map_Odom(X1,X3,X5))). 2.86/3.09 cnf(i_0_4072, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Ofilter(X1,X2)),X3))=hAPP(c_List_Ofilter(X1,X2),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X3)))). 2.86/3.09 cnf(i_0_4933, plain, (c_HOL_OThe(X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),hAPP(c_fequal,X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=c_Set_Othe__elem(X1,X2))). 2.86/3.09 cnf(i_0_4360, plain, (c_Random_Oselect__weight(X1,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,X1),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,X1)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),X2))=c_Random_Oselect__weight(X1,X2))). 2.86/3.09 cnf(i_0_6282, plain, (c_Random_Opick(X1,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,X1),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,X1)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),X2))=c_Random_Opick(X1,X2))). 2.86/3.09 cnf(i_0_4321, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))),c_List_Olexord(X1,X5))))). 2.86/3.09 cnf(i_0_2985, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__of(X1,X2,X3)),hAPP(c_Product__Type_Ofst(X1,X2),X4)),hAPP(c_Option_Ooption_OSome(X2),hAPP(c_Product__Type_Osnd(X1,X2),X4)))=c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Olist_OCons(tc_prod(X1,X2)),X4),X3)))). 2.86/3.09 cnf(i_0_1074, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),X4))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_6018, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),X4))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_152, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),X4))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_281, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(X1,X2),tc_HOL_Obool)),hAPP(c_Set_Oimage(X1,tc_sum(X1,X2),c_Sum__Type_OInl(X1,X2)),X3)),hAPP(c_Set_Oimage(X2,tc_sum(X1,X2),c_Sum__Type_OInr(X2,X1)),X4))=c_Sum__Type_OPlus(X1,X2,X3,X4))). 2.86/3.09 cnf(i_0_3795, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)))). 2.86/3.09 cnf(i_0_4717, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)),X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)),X4))). 2.86/3.09 cnf(i_0_618, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))). 2.86/3.09 cnf(i_0_2073, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_5354, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X4))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_6641, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X4))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_6231, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_4353, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X4)),X3))). 2.86/3.09 cnf(i_0_5830, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),X3)))). 2.86/3.09 cnf(i_0_1574, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_1402, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)),X3))). 2.86/3.09 cnf(i_0_797, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X4)),X3))). 2.86/3.09 cnf(i_0_3430, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))). 2.86/3.09 cnf(i_0_2272, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3)),hAPP(hAPP(c_List_Odrop(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))),X4))=hAPP(hAPP(c_List_Odrop(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))). 2.86/3.09 cnf(i_0_4680, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))),X4))=hAPP(hAPP(c_List_Otake(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))). 2.86/3.09 cnf(i_0_6635, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),X2)))))). 2.86/3.09 cnf(i_0_4331, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Set_Oinsert(X2),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 2.86/3.09 cnf(i_0_2662, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool))),X4))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_4128, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool))),X4))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_2269, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_Ovimage(X2,X4,X5)),X6))=hAPP(hAPP(c_COMBB(X4,tc_HOL_Obool,X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X4,tc_HOL_Obool)),X3),X6)),X5))). 2.86/3.09 cnf(i_0_1819, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_Oimage(X4,X2,X5)),X6))=hAPP(c_Set_Oimage(X4,X2,X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,tc_HOL_Obool)),X3),X6)))). 2.86/3.09 cnf(i_0_7007, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_Ovimage(X2,X4,X5)),X6))=hAPP(hAPP(c_COMBB(X4,tc_HOL_Obool,X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,tc_HOL_Obool)),X3),X6)),X5))). 2.86/3.09 cnf(i_0_6746, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Relation_OImage(X4,X2,X5)),X6))=hAPP(c_Relation_OImage(X4,X2,X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,tc_HOL_Obool)),X3),X6)))). 2.86/3.09 cnf(i_0_7367, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),hAPP(c_List_Ofilter(X1,X2),X3)),hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)),X3)))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))). 2.86/3.09 cnf(i_0_5987, plain, (hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),esk405_1(X1)),esk406_1(X1)))))=X1)). 2.86/3.09 cnf(i_0_5843, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2))))=hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))). 2.86/3.09 cnf(i_0_665, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),X1),c_Set_OPow(X2)),X4))=hAPP(c_Set_OPow(X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_2692, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X2),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X4),X3))=hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4)),X3))). 2.86/3.09 cnf(i_0_6137, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),hAPP(c_List_Orev(tc_List_Olist(X1)),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Orev(X1)),X2)))=hAPP(c_List_Orev(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))). 2.86/3.09 cnf(i_0_5906, plain, (c_Random__Sequence_Obind(X1,X2,X3,hAPP(c_Fun_Ocomp(X2,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X2)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),X1,c_Random__Sequence_Osingle(X2)),X4))=c_Random__Sequence_Omap(X1,X2,X4,X3))). 2.86/3.09 cnf(i_0_6836, plain, (hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))). 2.86/3.09 cnf(i_0_4102, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_Option_Ooption(X2),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),X1),c_fequal),X3)),c_Option_Ooption_ONone(X2)))=c_Map_Odom(X1,X2,X3))). 2.86/3.09 cnf(i_0_1049, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(X1),X2)),hAPP(c_Set_Oimage(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),hAPP(c_Set_Oinsert(X1),X3)),hAPP(c_Set_OPow(X1),X2)))=hAPP(c_Set_OPow(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2)))). 2.86/3.09 cnf(i_0_4068, plain, (hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X3),c_List_Orotate1(X1)),X4))=hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)),c_List_Orotate1(X1)),X4))). 2.86/3.09 cnf(i_0_608, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X5),X4))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_880, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_HOL_Obool)),X5),X4))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3),X5)),X4))). 2.86/3.09 cnf(i_0_6300, plain, (hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(X1),X1,c_List_Omap__filter(X2,X1,X3,X4),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Omap__filter(X2,X1,X3,X4))),hAPP(X3,X5))=c_List_Omap__filter(X2,X1,X3,hAPP(hAPP(c_List_Olist_OCons(X2),X5),X4)))). 2.86/3.09 cnf(i_0_1872, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool))),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)),X3))). 2.86/3.09 cnf(i_0_1553, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool)),X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_3387, plain, (hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(X1)),c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool))),c_List_Oset(X1))),X2)=c_List_Olists(X1,X2))). 2.86/3.09 cnf(i_0_4537, plain, (hAPP(hAPP(hAPP(hAPP(X1,X2),X3),c_Com_Ocom_Ocom__rec(X4,X5,X6,X7,X1,X8,X9,X10,X11,X2)),c_Com_Ocom_Ocom__rec(X4,X5,X6,X7,X1,X8,X9,X10,X11,X3))=c_Com_Ocom_Ocom__rec(X4,X5,X6,X7,X1,X8,X9,X10,X11,c_Com_Ocom_OSemi(X2,X3)))). 2.86/3.09 cnf(i_0_6910, plain, (hAPP(c_Fun_Ocomp(tc_prod(X1,X2),tc_prod(X3,X4),tc_prod(X5,X6),c_Product__Type_Omap__pair(X1,X3,X2,X4,X7,X8)),c_Product__Type_Omap__pair(X5,X1,X6,X2,X9,X10))=c_Product__Type_Omap__pair(X5,X3,X6,X4,hAPP(c_Fun_Ocomp(X1,X3,X5,X7),X9),hAPP(c_Fun_Ocomp(X2,X4,X6,X8),X10)))). 2.86/3.09 cnf(i_0_5733, plain, (hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))=hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X2))). 2.86/3.09 cnf(i_0_2962, plain, (hAPP(c_Relation_OField(X1),hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(c_Relation_OField(X1),X4))))). 2.86/3.09 cnf(i_0_4530, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),X5)),hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),X6))=hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X3,X2),tc_HOL_Obool)),X5),X6)))). 2.86/3.09 cnf(i_0_6558, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),X5)),hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X6),X5))=hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X3),tc_HOL_Obool)),X4),X6)),X5))). 2.86/3.09 cnf(i_0_6945, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(X1,X3))),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))))). 2.86/3.09 cnf(i_0_4046, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 2.86/3.09 cnf(i_0_4809, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 2.86/3.09 cnf(i_0_3551, plain, (c_Map_Odom(X1,X2,c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5)))))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)),X4))),c_Map_Odom(X1,X2,X3)))). 2.86/3.09 cnf(i_0_3475, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 2.86/3.09 cnf(i_0_5060, plain, (c_Hilbert__Choice_OEps(tc_prod(X1,X2),hAPP(hAPP(c_COMBS(tc_prod(X1,X2),X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_HOL_Obool),tc_prod(X1,X2)),X3),c_Product__Type_Ofst(X1,X2))),c_Product__Type_Osnd(X1,X2)))=c_Hilbert__Choice_OEps(tc_prod(X1,X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3)))). 2.86/3.09 cnf(i_0_2488, plain, (c_HOL_OThe(tc_prod(X1,X2),hAPP(hAPP(c_COMBS(tc_prod(X1,X2),X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_HOL_Obool),tc_prod(X1,X2)),X3),c_Product__Type_Ofst(X1,X2))),c_Product__Type_Osnd(X1,X2)))=c_HOL_OThe(tc_prod(X1,X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3)))). 2.86/3.09 cnf(i_0_4280, plain, (hAPP(c_List_Olist_Olist__case(tc_List_Olist(X1),X1,hAPP(c_List_Otl(X1),X2),hAPP(c_COMBK(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),X1),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Oappend(X1)),X2))),X3)=hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Oappend(X1),X3),X2)))). 2.86/3.09 cnf(i_0_1697, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1))). 2.86/3.09 cnf(i_0_3822, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))). 2.86/3.09 cnf(i_0_2724, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(X1),X2)),hAPP(c_Set_OPow(X1),X3))),hAPP(c_Set_OPow(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)))))). 2.86/3.09 cnf(i_0_688, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)))). 2.86/3.09 cnf(i_0_2640, plain, (hAPP(hAPP(hAPP(hAPP(hAPP(X1,X2),X3),X4),c_Com_Ocom_Ocom__rec(X5,X6,X7,X8,X9,X1,X10,X11,X12,X3)),c_Com_Ocom_Ocom__rec(X5,X6,X7,X8,X9,X1,X10,X11,X12,X4))=c_Com_Ocom_Ocom__rec(X5,X6,X7,X8,X9,X1,X10,X11,X12,c_Com_Ocom_OCond(X2,X3,X4)))). 2.86/3.09 cnf(i_0_2727, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X3))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3))),X3))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3))). 2.86/3.09 cnf(i_0_2509, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,tc_prod(X1,X2),esk144_4(X3,X4,X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X4),X3))),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X4),X3))))). 2.86/3.09 cnf(i_0_6158, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3))),X3))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3))). 2.86/3.09 cnf(i_0_5993, plain, (c_Nat_Onat_Onat__case(tc_List_Olist(X1),c_List_Olist_ONil(X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_List_Olist(X1),tc_Nat_Onat),hAPP(c_List_Olist_OCons(X1),X2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Otake(X1)),X3)),X4)=hAPP(hAPP(c_List_Otake(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)))). 2.86/3.09 cnf(i_0_4878, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))). 2.86/3.09 cnf(i_0_3488, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 2.86/3.09 cnf(i_0_2171, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 2.86/3.09 cnf(i_0_1993, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3)),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_3064, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X3)))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),X3))))). 2.86/3.09 cnf(i_0_6578, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist__update(X1,X3),X4),hAPP(c_Product__Type_Ofst(X1,X2),X5))),hAPP(hAPP(c_List_Olist__update(X2,X6),X4),hAPP(c_Product__Type_Osnd(X1,X2),X5)))=hAPP(hAPP(c_List_Olist__update(tc_prod(X1,X2),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X6)),X4),X5))). 2.86/3.09 cnf(i_0_1997, plain, (hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_List_Olist(X1),hAPP(c_COMBC(tc_List_Olist(X1),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(X1)),c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_List_Orev(tc_List_Olist(X1)),X2))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_List_Otranspose(X1,X2)))). 2.86/3.09 cnf(i_0_2076, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X3))),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X2),X3)))))). 2.86/3.09 cnf(i_0_139, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ORange(X2,X1),X3)),hAPP(c_Relation_ORange(X2,X1),X4))),hAPP(c_Relation_ORange(X2,X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4)))))). 2.86/3.09 cnf(i_0_4784, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ODomain(X1,X2),X3)),hAPP(c_Relation_ODomain(X1,X2),X4))),hAPP(c_Relation_ODomain(X1,X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)))))). 2.86/3.09 cnf(i_0_2833, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X2),X3))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)))))). 2.86/3.09 cnf(i_0_2947, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ORange(X2,X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ORange(X2,X1),X3)),hAPP(c_Relation_ORange(X2,X1),X4)))))). 2.86/3.09 cnf(i_0_5601, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ODomain(X1,X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ODomain(X1,X2),X3)),hAPP(c_Relation_ODomain(X1,X2),X4)))))). 2.86/3.09 cnf(i_0_5161, plain, (c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)))). 2.86/3.09 cnf(i_0_1369, plain, (c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)))). 2.86/3.09 cnf(i_0_3845, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))))). 2.86/3.09 cnf(i_0_5747, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),X4),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X3),tc_HOL_Obool),X1),c_Relation_Oconverse(X3,X2)),X5))=hAPP(c_Relation_Oconverse(X3,X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X3,X2),tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_463, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),X4),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X3),tc_HOL_Obool),X1),c_Relation_Oconverse(X3,X2)),X5))=hAPP(c_Relation_Oconverse(X3,X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(tc_prod(X3,X2),tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_6734, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)))),c_Nitpick_Onat__gcd(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2)))))=c_Nitpick_Oint__lcm(X1,X2))). 2.86/3.09 cnf(i_0_672, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Odrop(X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))),X3)),hAPP(hAPP(c_List_Otake(X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))),X3))=hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3))). 2.86/3.09 cnf(i_0_3995, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2))),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),hAPP(c_Relation_OField(X1),X2)),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_Relation_OField(X1),X2))))))). 2.86/3.09 cnf(i_0_4951, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5)))))). 2.86/3.09 cnf(i_0_5818, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),X4)),hAPP(c_Relation_OImage(X2,X1,X3),X5)))))). 2.86/3.09 cnf(i_0_2155, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5))),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),X5)))))). 2.86/3.09 cnf(i_0_943, plain, (hAPP(c_List_Oset(X1),hAPP(c_List_Ofilter(X1,X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X3)),X2))). 2.86/3.09 cnf(i_0_6422, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Orestrict__map(X1,X2,X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))),X5),X6)=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Orestrict__map(X1,X2,X3,X4)),X5),X6))). 2.86/3.09 cnf(i_0_2052, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(X1,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool))),X4))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)),X4))). 2.86/3.09 cnf(i_0_5328, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(X1,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool))),X4))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)),X4))). 2.86/3.09 cnf(i_0_863, plain, (hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,X1),X1),c_Wellfounded_Olex__prod(tc_Nat_Onat,X1,c_Wellfounded_Oless__than,X2)),hAPP(hAPP(c_COMBS(X1,X1,tc_prod(tc_Nat_Onat,X1)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(X1,tc_prod(tc_Nat_Onat,X1)),X1),c_Product__Type_OPair(tc_Nat_Onat,X1)),X3)),c_COMBI(X1)))=c_Wellfounded_Omlex__prod(X1,X3,X2))). 2.86/3.09 cnf(i_0_6371, plain, (hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),X1),c_Int_Onat)))=X1)). 2.86/3.09 cnf(i_0_1721, plain, (hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fimplies),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_5266, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2)),X4))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)),X4))). 2.86/3.09 cnf(i_0_6724, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))). 2.86/3.09 cnf(i_0_594, plain, (c_Nitpick_OAbs__Frac(X1,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X2)))),hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X2))))=c_Nitpick_Ouminus__frac(X1,X2))). 2.86/3.09 cnf(i_0_6252, plain, (c_Nat_Onat_Onat__case(tc_List_Olist(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_List_Olist(X1),tc_Nat_Onat),hAPP(c_List_Olist_OCons(X1),X4)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,X1,tc_List_Olist(X1)),c_List_Olist__update(X1,X3)),X2)),X5)=hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3)),X5),X2))). 2.86/3.09 cnf(i_0_191, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Set_Oinsert(X2)),X4)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))=hAPP(c_Set_Oimage(X1,X2,X4),X3))). 2.86/3.09 cnf(i_0_6642, plain, (hAPP(c_List_Orev(X1),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))),c_List_Orotate1(X1)),X2))=hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X3),c_List_Orotate1(X1)),hAPP(c_List_Orev(X1),X2)))). 2.86/3.09 cnf(i_0_884, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))=c_Int_Oint__ge__less__than2(X1))). 2.86/3.09 cnf(i_0_1922, plain, (c_Map_Orestrict__map(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=c_Map_Orestrict__map(X1,X2,X3,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_3764, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),X4),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X5,X3),tc_HOL_Obool),tc_fun(tc_prod(X2,X3),tc_HOL_Obool),X1),hAPP(c_Relation_Orel__comp(X2,X5,X3),X6)),X7))=hAPP(hAPP(c_Relation_Orel__comp(X2,X5,X3),X6),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X5,X3),tc_HOL_Obool)),X4),X7)))). 2.86/3.09 cnf(i_0_2102, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X4,X5)),tc_fun(X2,X3),X1),hAPP(c_COMBB(tc_prod(X4,X5),X3,X2),hAPP(c_Product__Type_Oprod_Oprod__case(X4,X5,X3),X6))),X7)),X8)=hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X4,X5,X3),X6),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X4,X5)),X7),X8)))). 2.86/3.09 cnf(i_0_2868, plain, (c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_3690, plain, (hAPP(hAPP(c_COMBS(tc_prod(X1,X2),X2,X3),hAPP(hAPP(c_COMBB(X4,tc_fun(X2,X3),tc_prod(X1,X2)),X5),hAPP(hAPP(c_COMBB(X1,X4,tc_prod(X1,X2)),X6),c_Product__Type_Ofst(X1,X2)))),c_Product__Type_Osnd(X1,X2))=hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(X4,tc_fun(X2,X3),X1),X5),X6)))). 2.86/3.09 cnf(i_0_1898, plain, (c_Sum__Type_Osum_Osum__case(X1,tc_Option_Ooption(X2),X3,hAPP(c_Fun_Ocomp(tc_Option_Ooption(X4),tc_Option_Ooption(X2),X1,hAPP(c_Option_Omap(X4,X2),X5)),X6),hAPP(c_Fun_Ocomp(tc_Option_Ooption(X4),tc_Option_Ooption(X2),X3,hAPP(c_Option_Omap(X4,X2),X5)),X7))=hAPP(c_Fun_Ocomp(tc_Option_Ooption(X4),tc_Option_Ooption(X2),tc_sum(X1,X3),hAPP(c_Option_Omap(X4,X2),X5)),c_Sum__Type_Osum_Osum__case(X1,tc_Option_Ooption(X4),X3,X6,X7)))). 2.86/3.09 cnf(i_0_4731, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool))),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4605, plain, (hAPP(c_List_Olist_Olist__case(tc_List_Olist(X1),X1,c_List_Olist_ONil(X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),X1),hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Oappend(X1))),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Olist_ONil(X1)))),X2)=hAPP(c_List_Orotate1(X1),X2))). 2.86/3.09 cnf(i_0_487, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X3),tc_fun(X2,X1)),hAPP(hAPP(c_COMBB(tc_fun(X3,X1),tc_fun(tc_fun(X2,X3),tc_fun(X2,X1)),X1),c_COMBB(X3,X1,X2)),X4)),X5),X6),X7)=hAPP(c_List_Ofoldl(X1,X3,X4,X6),hAPP(hAPP(c_List_Omap(X2,X3),X5),X7)))). 2.86/3.09 cnf(i_0_2553, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))),c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 2.86/3.09 cnf(i_0_5009, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X3),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2))),X2)))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2))). 2.86/3.09 cnf(i_0_6013, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X2))),X2)))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)),X2))). 2.86/3.09 cnf(i_0_7280, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_HOL_Obool)),X5),X6))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X4),c_Relation_OImage(X2,X1,X3)),X6)))))). 2.86/3.09 cnf(i_0_5657, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X2),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(X1,tc_HOL_Obool),X2),hAPP(c_COMBC(X1,tc_Option_Ooption(X2),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),X1),c_fequal),X3))),c_Option_Ooption_OSome(X2)))=c_Map_Oran(X1,X2,X3))). 2.86/3.09 cnf(i_0_7238, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),hAPP(hAPP(c_List_Omap(X2,tc_List_Olist(X1)),hAPP(hAPP(c_COMBC(X2,tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_OCons(X1)),X3)),c_List_Olist_ONil(X1))),X4))=hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))). 2.86/3.09 cnf(i_0_6259, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),tc_prod(X3,X2)),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X3,X2)),hAPP(hAPP(c_COMBB(X3,tc_fun(X2,tc_prod(X3,X2)),X1),c_Product__Type_OPair(X3,X2)),X4))),hAPP(hAPP(c_List_Ozip(X1,X2),X5),X6))=hAPP(hAPP(c_List_Ozip(X3,X2),hAPP(hAPP(c_List_Omap(X1,X3),X4),X5)),X6))). 2.86/3.09 cnf(i_0_6178, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))). 2.86/3.09 cnf(i_0_3380, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))). 2.86/3.09 cnf(i_0_2521, plain, (hAPP(hAPP(c_List_Oappend(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),hAPP(hAPP(c_List_Otake(X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X4))),hAPP(hAPP(c_List_Ozip(X1,X2),X5),hAPP(hAPP(c_List_Odrop(X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X4)))=hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X5)),X4))). 2.86/3.09 cnf(i_0_1837, plain, (hAPP(hAPP(c_List_Oappend(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)),X4)),X3)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)),X4)),X5))=hAPP(hAPP(c_List_Ozip(X1,X2),X4),hAPP(hAPP(c_List_Oappend(X2),X3),X5)))). 2.86/3.09 cnf(i_0_4733, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))). 2.86/3.09 cnf(i_0_788, plain, (hAPP(c_Set_Oimage(tc_prod(X1,X2),tc_prod(X2,X1),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X2,X1)),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Product__Type_OPair(X2,X1)))),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4)))=hAPP(hAPP(c_Product__Type_OSigma(X2,X1),X4),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X2),X3)))). 2.86/3.09 cnf(i_0_1354, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),X2),c_Set_OPow(X1)),X4))),hAPP(c_Set_OPow(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)))))). 2.86/3.09 cnf(i_0_6629, plain, (hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool)))=hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))). 2.86/3.09 cnf(i_0_2614, plain, (c_Map_Omap__add(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5)),c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X6),X7))))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X6)),hAPP(hAPP(c_List_Olist_OCons(X2),X5),X7))))))). 2.86/3.09 cnf(i_0_4557, plain, (c_List_Oset__Cons(X1,hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olistrel(X1,X2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)))))=hAPP(c_Relation_OImage(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olistrel(X1,X2)),hAPP(c_fequal,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))))). 2.86/3.09 cnf(i_0_640, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))). 2.86/3.09 cnf(i_0_274, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)),X5))). 2.86/3.09 cnf(i_0_4528, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)),X5))). 2.86/3.09 cnf(i_0_1334, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)),X5))). 2.86/3.09 cnf(i_0_1834, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_5, plain, (hAPP(hAPP(c_List_Omap(X1,X2),hAPP(c_Fun_Ocomp(tc_Option_Ooption(X2),X2,X1,c_Option_Othe(X2)),X3)),hAPP(c_List_Ofilter(X1,c_Map_Odom(X1,X2,X3)),X4))=c_List_Omap__filter(X1,X2,X3,X4))). 2.86/3.09 cnf(i_0_6416, plain, (c_HOL_OThe(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBC(X1,X3,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X3,tc_fun(X3,tc_HOL_Obool),X1),c_fequal),X4)),X5)))=hAPP(c_Fun_Othe__inv__into(X1,X3,X2,X4),X5))). 2.86/3.09 cnf(i_0_3920, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),hAPP(c_Fun_Ocomp(tc_prod(X2,X4),X2,X1,c_Product__Type_Ofst(X2,X4)),X5))),hAPP(hAPP(c_COMBB(X4,tc_HOL_Obool,X1),X6),hAPP(c_Fun_Ocomp(tc_prod(X2,X4),X4,X1,c_Product__Type_Osnd(X2,X4)),X5)))=hAPP(hAPP(c_COMBB(tc_prod(X2,X4),tc_HOL_Obool,X1),hAPP(hAPP(c_Product__Type_OSigma(X2,X4),X3),hAPP(c_COMBK(tc_fun(X4,tc_HOL_Obool),X2),X6))),X5))). 2.86/3.09 cnf(i_0_1004, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_2415, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)))). 2.86/3.09 cnf(i_0_2578, plain, (hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))),hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,tc_Nat_Onat),X3),hAPP(c_List_Onth(X1),X2))))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Ofilter(X1,X3),X2)))). 2.86/3.09 cnf(i_0_2538, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2))). 2.86/3.09 cnf(i_0_771, plain, (hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(X1),X2)),c_Code__Numeral_Onat__of)))=c_Random_Oselect(X1,X2))). 2.86/3.09 cnf(i_0_6457, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=X1)). 2.86/3.09 cnf(i_0_1583, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)))))=hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X2),X1)))))). 2.86/3.09 cnf(i_0_4532, plain, (c_Wellfounded_Omlex__prod(tc_List_Olist(X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Olex(X1,X2))=c_List_Olenlex(X1,X2))). 2.86/3.09 cnf(i_0_1062, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))),X2))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_List_Otranspose(X1,c_List_Otranspose(X1,X2))))). 2.86/3.09 cnf(i_0_299, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))). 2.86/3.09 cnf(i_0_3928, plain, (hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,X1),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,X1)),X2)))),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(X1,X2)))=c_Random_Oselect__weight(X1,X2))). 2.86/3.09 cnf(i_0_4548, plain, (hAPP(hAPP(c_List_Oappend(X1),c_List_Osublist(X1,X2,X3)),c_List_Osublist(X1,X4,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),X3),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))))=c_List_Osublist(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X4),X3))). 2.86/3.09 cnf(i_0_4577, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool)),X1),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_HOL_Obool))),X5)),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,tc_HOL_Obool)),X3),X5)),X6))). 2.86/3.09 cnf(i_0_1248, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool)),X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_HOL_Obool))),X5)),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,tc_HOL_Obool)),X3),X5)),X6))). 2.86/3.09 cnf(i_0_6432, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),c_fequal))),X2))=c_Relation_OId__on(X1,X2))). 2.86/3.09 cnf(i_0_6244, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,X1,X1),hAPP(hAPP(c_COMBC(tc_Int_Oint,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),tc_Int_Oint),c_If(X1)),c_Nat__Numeral_Oneg)),X3)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Int_Oint),X4),c_Int_Onat)))=c_Nat_Onat_Onat__case(X1,X3,X4,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))). 2.86/3.09 cnf(i_0_7119, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))). 2.86/3.09 cnf(i_0_767, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 2.86/3.09 cnf(i_0_6496, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),X2)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),X2))). 2.86/3.09 cnf(i_0_6304, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X2)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X2))))). 2.86/3.09 cnf(i_0_7258, plain, (c_List_Omap__filter(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_Option_Ooption(X2),tc_Option_Ooption(X2)),hAPP(hAPP(c_COMBS(X1,tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_Option_Ooption(X2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_Option_Ooption(X2))),X1),c_If(tc_Option_Ooption(X2))),X3)),hAPP(hAPP(c_COMBB(X2,tc_Option_Ooption(X2),X1),c_Option_Ooption_OSome(X2)),X4))),c_Option_Ooption_ONone(X2)),X5)=hAPP(hAPP(c_List_Omap(X1,X2),X4),hAPP(c_List_Ofilter(X1,X3),X5)))). 2.86/3.09 cnf(i_0_5756, plain, (c_New__DSequence_Opos__decr__bind(X1,X2,hAPP(hAPP(hAPP(X3,X4),X5),X6),hAPP(hAPP(c_COMBC(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2)))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2))))),X7),X4)),X5)),X6))=c_New__Random__Sequence_Opos__decr__bind(X1,X2,X3,X7,X4,X5,X6))). 2.86/3.09 cnf(i_0_5101, plain, (hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),hAPP(hAPP(c_Set_Oinsert(X2),X4),X6)))),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X5)),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X6))))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X5)),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),hAPP(hAPP(c_Set_Oinsert(X2),X4),X6))))). 2.86/3.09 cnf(i_0_3970, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(hAPP(c_If(tc_List_Olist(X1)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))),c_List_Olist_ONil(X1))),c_List_Osublist(X1,X4,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),X2),c_Nat_OSuc)))=c_List_Osublist(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),X2))). 2.86/3.09 cnf(i_0_420, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X3,X4)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X4),tc_fun(X2,tc_prod(X3,X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(tc_fun(X2,X4),tc_fun(X2,tc_prod(X3,X4))),X1),c_COMBB(X4,tc_prod(X3,X4),X2)),hAPP(hAPP(c_COMBB(X3,tc_fun(X4,tc_prod(X3,X4)),X1),c_Product__Type_OPair(X3,X4)),X5))),X6))=c_Product__Type_Omap__pair(X1,X3,X2,X4,X5,X6))). 2.86/3.09 cnf(i_0_5466, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),X4),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X5,X3),tc_HOL_Obool),tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X2,X5),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(X5,X3),tc_HOL_Obool),tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),X1),c_Relation_Orel__comp(X2,X5,X3)),X6)),X7))=hAPP(hAPP(c_Relation_Orel__comp(X2,X5,X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X2,X5),tc_HOL_Obool)),X4),X6)),X7))). 2.86/3.09 cnf(i_0_4751, plain, (c_New__DSequence_Opos__bind(X1,X2,hAPP(hAPP(hAPP(X3,X4),X5),X6),hAPP(hAPP(c_COMBC(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2)))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2))))),X7),X4)),X5)),X6))=hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(X1,X2,X3,X7),X4),X5),X6))). 2.86/3.09 cnf(i_0_6101, plain, (c_New__DSequence_Oneg__decr__bind(X1,X2,hAPP(hAPP(hAPP(X3,X4),X5),X6),hAPP(hAPP(c_COMBC(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2)))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2))))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2)))))),X7),X4)),X5)),X6))=c_New__Random__Sequence_Oneg__decr__bind(X1,X2,X3,X7,X4,X5,X6))). 2.86/3.09 cnf(i_0_2229, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X3))),X4))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4)))). 2.86/3.09 cnf(i_0_3416, plain, (c_HOL_OThe(tc_prod(X1,X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(c_fequal,X3)),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_fequal,X4))))=hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4))). 2.86/3.09 cnf(i_0_3850, plain, (c_Hilbert__Choice_OEps(tc_prod(X1,X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(c_fequal,X3)),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_fequal,X4))))=hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4))). 2.86/3.09 cnf(i_0_447, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X3),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X4,X2)),tc_fun(X2,X3),X1),hAPP(c_COMBB(tc_prod(X4,X2),X3,X2),X5)),hAPP(hAPP(c_COMBB(X4,tc_fun(X2,tc_prod(X4,X2)),X1),c_Product__Type_OPair(X4,X2)),X6)))),hAPP(hAPP(c_List_Ozip(X1,X2),X7),X8))=hAPP(hAPP(c_List_Omap(tc_prod(X4,X2),X3),X5),hAPP(hAPP(c_List_Ozip(X4,X2),hAPP(hAPP(c_List_Omap(X1,X4),X6),X7)),X8)))). 2.86/3.09 cnf(i_0_1873, plain, (c_New__DSequence_Oneg__bind(X1,X2,hAPP(hAPP(hAPP(X3,X4),X5),X6),hAPP(hAPP(c_COMBC(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2)))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2))))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2)))))),X7),X4)),X5)),X6))=hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(X1,X2,X3,X7),X4),X5),X6))). 2.86/3.09 cnf(i_0_4001, plain, (c_Fun_Oinj__on(tc_fun(X1,X2),tc_fun(tc_prod(X1,X2),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X1,X2)),c_Set_OCollect(tc_prod(X1,X2))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X1,X2)),c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool)),hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBC(X2,X2,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X1,X2),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3660, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,tc_Nat_Onat),X1),c_Product__Type_Ofst(X1,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(X1,tc_Nat_Onat)),X2),c_Product__Type_Osnd(X1,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(X1,tc_Nat_Onat),X3),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))))=c_List_Osublist(X1,X3,X2))). 2.86/3.09 cnf(i_0_5227, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X3))),X4))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_OCollect(X2)),X4)))). 2.86/3.09 cnf(i_0_567, plain, (hAPP(hAPP(c_Product__Type_OSigma(tc_Int_Oint,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_Set_OCollect(tc_Int_Oint)),c_Orderings_Oord__class_Oless(tc_Int_Oint)))=c_Int_Oint__ge__less__than(X1))). 2.86/3.09 cnf(i_0_7347, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))). 2.86/3.09 cnf(i_0_2377, plain, (c_Lazy__Sequence_Ohb__not__seq(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),X2)))=hAPP(c_New__DSequence_Opos__not__seq(X1),X2))). 2.86/3.09 cnf(i_0_7399, plain, (hAPP(c_Set_Oimage(X1,tc_prod(X1,X1),hAPP(hAPP(c_COMBS(X1,X1,tc_prod(X1,X1)),c_Product__Type_OPair(X1,X1)),c_COMBI(X1))),X2)=c_Relation_OId__on(X1,X2))). 2.86/3.09 cnf(i_0_2673, plain, (c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Omap(tc_prod(X1,X3),tc_prod(X1,X2)),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X3,tc_prod(X1,X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X3,X2),tc_fun(X3,tc_prod(X1,X2))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(tc_fun(X3,X2),tc_fun(X3,tc_prod(X1,X2))),X1),c_COMBB(X2,tc_prod(X1,X2),X3)),c_Product__Type_OPair(X1,X2))),X4))),X5))=hAPP(c_Fun_Ocomp(tc_Option_Ooption(X3),tc_Option_Ooption(X2),X1,hAPP(c_Option_Omap(X3,X2),X4)),c_Map_Omap__of(X1,X3,X5)))). 2.86/3.09 cnf(i_0_4870, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),X2)),c_Int_Onat))))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))). 2.86/3.09 cnf(i_0_763, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),X1),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),X3)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),X4)),X5))),c_Com_Ocom_OAss(X4,X5)),X3))))). 2.86/3.09 cnf(i_0_6701, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,X2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X2)),c_Int_Onat))))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))). 2.86/3.09 cnf(i_0_5079, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),tc_prod(X1,X3)),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X1,X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X3),tc_fun(X2,tc_prod(X1,X3))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X1,X3)),tc_fun(tc_fun(X2,X3),tc_fun(X2,tc_prod(X1,X3))),X1),c_COMBB(X3,tc_prod(X1,X3),X2)),c_Product__Type_OPair(X1,X3))),X4))),hAPP(hAPP(c_List_Ozip(X1,X2),X5),X6))=hAPP(hAPP(c_List_Ozip(X1,X3),X5),hAPP(hAPP(c_List_Omap(X2,X3),X4),X6)))). 2.86/3.09 cnf(i_0_2500, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Map_Odom(X1,X3,X4))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X3,X5)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),c_Map_Odom(X1,X3,X4))))=c_Map_Odom(X1,X3,c_Fun_Ooverride__on(X1,tc_Option_Ooption(X3),X5,X4,X2)))). 2.86/3.09 cnf(i_0_1500, plain, (hAPP(hAPP(c_Nitpick_Ofrac(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X2))),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X3)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X2))),hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X3))))=c_Nitpick_Otimes__frac(X1,X2,X3))). 2.86/3.09 cnf(i_0_6464, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq))=c_FunDef_Omin__weak)). 2.86/3.09 cnf(i_0_523, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_Olist__case(tc_List_Olist(X1),X1,c_List_Olist_ONil(X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),X1),c_COMBK(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Olist_ONil(X1))))),X2))=hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),X1),c_List_Ohd(X1)),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))),X2)))). 2.86/3.09 cnf(i_0_4895, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq))=c_FunDef_Omax__weak)). 2.86/3.09 cnf(i_0_5822, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_4834, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,X1,X1),hAPP(hAPP(c_COMBC(tc_Int_Oint,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),tc_Int_Oint),c_If(X1)),c_Nat__Numeral_Oneg)),X3)),hAPP(hAPP(c_COMBS(tc_Int_Oint,X1,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(X1,X1),tc_Int_Oint),X4),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Int_Oint),c_Nat_Onat_Onat__rec(X1,X3,X4)),c_Int_Onat))))=hAPP(c_Nat_Onat_Onat__rec(X1,X3,X4),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))). 2.86/3.09 cnf(i_0_5411, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,tc_prod(X1,X1)),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBC(tc_prod(X1,X1),tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_HOL_Obool)),tc_prod(X1,X1)),c_COMBB(tc_prod(X1,X1),tc_HOL_Obool,X1)),c_fequal)),hAPP(hAPP(c_COMBS(X1,X1,tc_prod(X1,X1)),c_Product__Type_OPair(X1,X1)),c_COMBI(X1))))=c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3294, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat)),c_Int_Onat)),X2))))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Nat_OSuc,X2)))). 2.86/3.09 cnf(i_0_3454, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_OCollect(X1)),hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1))))=c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2))). 2.86/3.09 cnf(i_0_6160, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4)))))=hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4))))))). 2.86/3.09 cnf(i_0_3396, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,X2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat)),c_Int_Onat)),X2))))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Nat_OSuc,X2)))). 2.86/3.09 cnf(i_0_5848, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1)),c_List_Oappend(tc_List_Olist(X1)),c_List_Olist_ONil(tc_List_Olist(X1))),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(tc_List_Olist(X1))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(X1)),X1,c_List_Olist_ONil(tc_List_Olist(X1)),hAPP(c_COMBK(tc_fun(tc_List_Olist(X1),tc_List_Olist(tc_List_Olist(X1))),X1),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1))),c_List_Olist_OCons(tc_List_Olist(X1))),c_List_Olist_ONil(tc_List_Olist(X1)))))),X2))=hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Otl(X1)),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))),X2)))). 2.86/3.09 cnf(i_0_435, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),tc_prod(X3,X4)),c_Product__Type_Omap__pair(X1,X3,X2,X4,X5,X6)),hAPP(hAPP(c_List_Ozip(X1,X2),X7),X8))=hAPP(hAPP(c_List_Ozip(X3,X4),hAPP(hAPP(c_List_Omap(X1,X3),X5),X7)),hAPP(hAPP(c_List_Omap(X2,X4),X6),X8)))). 2.86/3.09 cnf(i_0_3863, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,X1,X1),hAPP(hAPP(c_COMBC(tc_Int_Oint,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),tc_Int_Oint),c_If(X1)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(X1,X3,X4,X5))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Int_Oint),X4),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),X5))))=c_Nat_Onat_Onat__case(X1,X3,X4,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X5)))). 2.86/3.09 cnf(i_0_5257, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_6532, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),X1),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),X3))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Com_Ostate,tc_HOL_Obool)),X4))),c_Com_Ocom_OWhile(X4,X5)),X3))))). 2.86/3.09 cnf(i_0_238, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Nitpick_OFrac)). 2.86/3.09 cnf(i_0_3020, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X3),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X4)),tc_fun(X2,X3),X1),hAPP(c_COMBB(tc_prod(X1,X4),X3,X2),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X4),tc_fun(X2,tc_prod(X1,X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X1,X4)),tc_fun(tc_fun(X2,X4),tc_fun(X2,tc_prod(X1,X4))),X1),c_COMBB(X4,tc_prod(X1,X4),X2)),c_Product__Type_OPair(X1,X4))),X6)))),hAPP(hAPP(c_List_Ozip(X1,X2),X7),X8))=hAPP(hAPP(c_List_Omap(tc_prod(X1,X4),X3),X5),hAPP(hAPP(c_List_Ozip(X1,X4),X7),hAPP(hAPP(c_List_Omap(X2,X4),X6),X8))))). 2.86/3.09 cnf(i_0_7257, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 2.86/3.09 cnf(i_0_1459, plain, (hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),c_Relation_OImage(X1,X1,X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X3)=hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X3),X2))). 2.86/3.09 cnf(i_0_1460, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X2),c_HOL_OAll(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2),hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fimplies),X3))),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),X2),c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1)),c_member(X2))),X4)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4))). 2.86/3.09 cnf(i_0_1747, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_HOL_Obool)),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X4,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),tc_fun(tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X4,tc_fun(X2,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X6))),X7)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X6)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_HOL_Obool)),X5),X7)))). 2.86/3.09 cnf(i_0_4031, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X2,X1),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X2,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X2,X1)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X2,X1),tc_fun(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X2,X1)))),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Product__Type_OPair(X2,X1))))),X3))=hAPP(c_Relation_Oconverse(X2,X1),X3))). 2.86/3.09 cnf(i_0_2912, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),c_COMBS(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool))))),c_Finite__Set_Ofinite(X1)))=c_Wellfounded_Ofinite__psubset(X1))). 2.86/3.09 cnf(i_0_2542, plain, (c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,X1)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))). 2.86/3.09 cnf(i_0_2625, plain, (hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(X1,X2)),X2,c_List_Olist_ONil(tc_prod(X1,X2)),hAPP(hAPP(c_COMBC(X2,tc_fun(tc_List_Olist(X2),tc_List_Olist(tc_prod(X1,X2))),tc_fun(tc_List_Olist(X2),tc_List_Olist(tc_prod(X1,X2)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(tc_prod(X1,X2))),tc_fun(tc_fun(tc_List_Olist(X2),tc_List_Olist(tc_prod(X1,X2))),tc_fun(tc_List_Olist(X2),tc_List_Olist(tc_prod(X1,X2)))),X2),c_COMBB(tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(X2))),hAPP(hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(tc_prod(X1,X2))),X2),c_List_Olist_OCons(tc_prod(X1,X2))),hAPP(c_Product__Type_OPair(X1,X2),X3)))),hAPP(c_List_Ozip(X1,X2),X4))),X5)=hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)),X5))). 2.86/3.09 cnf(i_0_7171, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_HOL_Obool)),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X4,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),tc_fun(tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X4,tc_fun(X2,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool))),X6))),X7)))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X6)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_HOL_Obool)),X5),X7)))). 2.86/3.09 cnf(i_0_1239, plain, (hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_Nat_Onat,X1),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,X1),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(X1),X2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))=hAPP(c_List_Oset(X1),X2))). 2.86/3.09 cnf(i_0_6733, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,X1,X1),hAPP(hAPP(c_COMBC(tc_Int_Oint,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),tc_Int_Oint),c_If(X1)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(X1,X3,X4),X5))),hAPP(hAPP(c_COMBS(tc_Int_Oint,X1,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(X1,X1),tc_Int_Oint),X4),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),X5))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Int_Oint),c_Nat_Onat_Onat__rec(X1,X3,X4)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),X5)))))=hAPP(c_Nat_Onat_Onat__rec(X1,X3,X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X5)))). 2.86/3.09 cnf(i_0_4567, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_List_Olist(X3),hAPP(c_COMBC(tc_List_Olist(X3),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(X3)),c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(X3),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(X3)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(X3)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_List_Orev(tc_List_Olist(X3)),hAPP(c_List_Ofilter(tc_List_Olist(X3),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X3),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X3)),c_List_Olist_ONil(X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X3),tc_HOL_Obool))))),X4)))))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),c_List_Otranspose(X3,X4))))). 2.86/3.09 cnf(i_0_6571, plain, (hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(X1,X2)),X1,c_List_Olist_ONil(tc_prod(X1,X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_List_Olist(X1),tc_List_Olist(tc_prod(X1,X2))),tc_fun(tc_List_Olist(X1),tc_List_Olist(tc_prod(X1,X2)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(tc_prod(X1,X2))),tc_fun(tc_fun(tc_List_Olist(X1),tc_List_Olist(tc_prod(X1,X2))),tc_fun(tc_List_Olist(X1),tc_List_Olist(tc_prod(X1,X2)))),X1),c_COMBB(tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(X1))),hAPP(hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_List_Olist(tc_prod(X1,X2)),tc_List_Olist(tc_prod(X1,X2))),X1),c_List_Olist_OCons(tc_prod(X1,X2))),hAPP(hAPP(c_COMBC(X1,X2,tc_prod(X1,X2)),c_Product__Type_OPair(X1,X2)),X3)))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(X2),tc_List_Olist(tc_prod(X1,X2))),c_List_Ozip(X1,X2)),X4))),X5)=hAPP(hAPP(c_List_Ozip(X1,X2),X5),hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4)))). 2.86/3.09 cnf(i_0_4344, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(X1,X2),tc_fun(tc_prod(X3,X4),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X6))),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_fun(tc_prod(X3,X4),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_fun(X3,tc_fun(X4,tc_HOL_Obool))),tc_fun(X2,tc_fun(tc_prod(X3,X4),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X3,tc_fun(X4,tc_HOL_Obool)),tc_fun(tc_prod(X3,X4),tc_HOL_Obool)),tc_fun(tc_fun(X2,tc_fun(X3,tc_fun(X4,tc_HOL_Obool))),tc_fun(X2,tc_fun(tc_prod(X3,X4),tc_HOL_Obool))),X1),c_COMBB(tc_fun(X3,tc_fun(X4,tc_HOL_Obool)),tc_fun(tc_prod(X3,X4),tc_HOL_Obool),X2)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(tc_fun(X3,tc_fun(X4,tc_HOL_Obool)),tc_fun(tc_prod(X3,X4),tc_HOL_Obool)),X1),c_Product__Type_OSigma(X3,X4)),X7))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X3,tc_fun(X4,tc_HOL_Obool)),X2),c_COMBK(tc_fun(X4,tc_HOL_Obool),X3)),X8))))=hAPP(hAPP(c_Product__Type_OSigma(X3,X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X3,tc_HOL_Obool)),X5),X7)),hAPP(c_COMBK(tc_fun(X4,tc_HOL_Obool),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X4,tc_HOL_Obool)),X6),X8))))). 2.86/3.09 cnf(i_0_679, plain, (hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),X1),c_List_Ohd(X1)),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))),X3)))),c_List_Otranspose(X1,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(X1)),X4),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Otl(X1)),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))),X3)))))=c_List_Otranspose(X1,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4)),X3)))). 2.86/3.09 cnf(i_0_953, plain, (hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_Nat_Onat,X1),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,X1),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(X1),X2))))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))),X3)))=hAPP(c_List_Oset(X1),c_List_Osublist(X1,X2,X3)))). 2.86/3.09 cnf(i_0_2556, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X2,X2)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X2,X2),tc_fun(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X2,X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X2),tc_fun(X1,tc_prod(X2,X2))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X2,X2)),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_prod(X2,X2))),X1),c_COMBB(X2,tc_prod(X2,X2),X1)),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_prod(X2,X2)),X1),c_Product__Type_OPair(X2,X2)),X3))),X3)))),X4))=hAPP(hAPP(c_Relation_Oinv__image(X2,X1),X4),X3))). 2.86/3.09 cnf(i_0_2648, plain, (hAPP(c_List_Ofoldl(tc_fun(X1,tc_Option_Ooption(X2)),tc_prod(X1,X2),hAPP(c_COMBC(tc_prod(X1,X2),tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,tc_Option_Ooption(X2))),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_fun(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,tc_Option_Ooption(X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_fun(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,tc_Option_Ooption(X2))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(X2),tc_fun(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,tc_Option_Ooption(X2)))),tc_fun(tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_fun(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,tc_Option_Ooption(X2))))),X1),c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,tc_Option_Ooption(X2))),X2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(tc_Option_Ooption(X2),tc_fun(X1,tc_Option_Ooption(X2)))),tc_fun(tc_Option_Ooption(X2),tc_fun(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,tc_Option_Ooption(X2)))),X1),c_COMBC(tc_fun(X1,tc_Option_Ooption(X2)),tc_Option_Ooption(X2),tc_fun(X1,tc_Option_Ooption(X2)))),hAPP(c_COMBC(tc_fun(X1,tc_Option_Ooption(X2)),X1,tc_fun(tc_Option_Ooption(X2),tc_fun(X1,tc_Option_Ooption(X2)))),c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)))))),c_Option_Ooption_OSome(X2)))),X3),hAPP(c_List_Orev(tc_prod(X1,X2)),X4))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,X4)))). 2.86/3.09 cnf(i_0_3221, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool))),X4)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(tc_prod(X1,X2),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool))),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(tc_prod(X1,X2),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(tc_prod(X1,X2),tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X2),c_Set_Oinsert(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4))). 2.86/3.09 cnf(i_0_7197, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,X1),c_Nitpick_Oint__lcm(hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X2)),hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X3)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,X1),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,X1),tc_Int_Oint),c_Nitpick_Ofrac(X1)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X2)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X2)))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X3)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),X3))))))),c_COMBI(tc_Int_Oint)))=c_Nitpick_Oplus__frac(X1,X2,X3))). 2.86/3.09 cnf(i_0_7175, plain, (hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(X1,X2)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(X1,X2),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(X1,X2)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(X1,X2)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(X1,X2),tc_fun(tc_Nat_Onat,tc_prod(X1,X2)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(X1,X2)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(X1,X2)),c_COMBB(tc_prod(X1,X2),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,X2,tc_prod(X1,X2)),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_prod(X1,X2)),tc_Nat_Onat),c_Product__Type_OPair(X1,X2)),hAPP(c_List_Onth(X1),X3))),hAPP(c_List_Onth(X2),X4)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)))))=hAPP(c_List_Oset(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)))). 2.86/3.09 cnf(i_0_3026, plain, (hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),c_HOL_OEx(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),c_COMBS(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2)),c_Set_OPow(X1))))=hAPP(c_Set_OPow(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)))). 2.86/3.09 cnf(i_0_1242, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(X1,tc_List_Olist(X1)),tc_prod(X1,tc_List_Olist(X1))),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),c_Product__Type_Omap__pair(tc_prod(X1,tc_List_Olist(X1)),tc_List_Olist(X1),tc_prod(X1,tc_List_Olist(X1)),tc_List_Olist(X1),hAPP(c_Product__Type_Oprod_Oprod__case(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),hAPP(c_Product__Type_Oprod_Oprod__case(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)))),c_Wellfounded_Olex__prod(X1,tc_List_Olist(X1),X2,hAPP(c_List_Olexn(X1,X2),X3)))),c_Nitpick_Oprod(tc_List_Olist(X1),tc_List_Olist(X1),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X1)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),hAPP(c_Nat_OSuc,X3)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X1)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),hAPP(c_Nat_OSuc,X3))))=hAPP(c_List_Olexn(X1,X2),hAPP(c_Nat_OSuc,X3)))). 2.86/3.09 cnf(i_0_4383, plain, (hAPP(c_List_Ofoldl(tc_fun(X1,tc_Option_Ooption(X2)),tc_prod(X1,X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_fun(X1,tc_Option_Ooption(X2)))),tc_fun(tc_prod(X1,X2),tc_fun(X1,tc_Option_Ooption(X2))),tc_fun(X1,tc_Option_Ooption(X2))),c_Product__Type_Oprod_Oprod__case(X1,X2,tc_fun(X1,tc_Option_Ooption(X2)))),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X1,tc_fun(X2,tc_fun(X1,tc_Option_Ooption(X2))))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_fun(X1,tc_Option_Ooption(X2))))),tc_fun(tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X1,tc_fun(X2,tc_fun(X1,tc_Option_Ooption(X2))))),tc_fun(X1,tc_Option_Ooption(X2))),c_COMBC(X1,tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_fun(X1,tc_Option_Ooption(X2))))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Option_Ooption(X2),tc_fun(X1,tc_Option_Ooption(X2)))),tc_fun(X1,tc_fun(tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_fun(X1,tc_Option_Ooption(X2))))),tc_fun(X1,tc_Option_Ooption(X2))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(X2),tc_fun(X1,tc_Option_Ooption(X2))),tc_fun(tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_fun(X1,tc_Option_Ooption(X2)))),X1),c_COMBB(tc_Option_Ooption(X2),tc_fun(X1,tc_Option_Ooption(X2)),X2))),c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2))))),c_Option_Ooption_OSome(X2))),X3),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5)))))). 2.86/3.09 cnf(i_0_4407, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3)),X1)))=hAPP(c_Divides_Oadjust(X2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X1)))). 2.86/3.09 cnf(i_0_5802, plain, (hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,X1)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))). 2.86/3.09 cnf(i_0_3244, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,X1))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2)))))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),X2)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))=c_Divides_Odivmod__int__rel(X1,X2))). 2.86/3.09 cnf(i_0_5478, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X1),tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_COMBS(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_fun(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBS(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),hAPP(c_If(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(X2,X3)))),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(c_List_Olist_OCons(X1),X3))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBB(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(c_List_Olist_OCons(X1),X3)))),c_List_Opartition(X1,X2,X4))=c_List_Opartition(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))). 2.86/3.09 cnf(i_0_5331, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool,X2),c_HOL_OEx(X3))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),tc_fun(tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X2)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBS(X3,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X3),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBC(X3,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X1,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X3),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X1,X3)))),c_Product__Type_OPair(X1,X3)))),X4))))),hAPP(hAPP(c_COMBC(X2,tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X2),c_COMBC(X3,tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X3,X2)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_HOL_Obool)),X2),hAPP(c_COMBB(tc_prod(X3,X2),tc_fun(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X3,X2)))),hAPP(c_COMBC(X3,X2,tc_prod(X3,X2)),c_Product__Type_OPair(X3,X2))))),X5))))=hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),X5))). 2.86/3.09 cnf(i_0_7351, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),X1))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),X1))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))))=c_Divides_Oadjust(X1))). 2.86/3.09 cnf(i_0_4611, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X2,X1),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X2,X1),tc_fun(tc_prod(X2,X2),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X2,X1),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(X2,X1),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)),tc_fun(tc_fun(X2,X1),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X2,X1),tc_fun(tc_prod(X2,X2),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X2,X1),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool))))),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(X2,X1),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)),tc_fun(tc_fun(X2,X1),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool))),tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,X1),tc_fun(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(X2,X1),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)),tc_fun(tc_fun(X2,X1),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)))),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_COMBS(tc_fun(X2,X1),tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,X1),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)),tc_fun(tc_fun(X2,X1),tc_fun(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)))),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool))),tc_fun(X2,X1)),c_Product__Type_OPair(tc_fun(tc_prod(X2,X2),tc_HOL_Obool),tc_fun(tc_prod(X2,X2),tc_HOL_Obool)))),c_Relation_Oinv__image(X1,X2))))),c_Relation_Oinv__image(X1,X2)))=c_FunDef_Orp__inv__image(X1,X2))). 2.86/3.09 cnf(i_0_6067, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X1),tc_List_Olist(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_List_Olist(X1)),c_COMBS(tc_List_Olist(X1),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(X1)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(X1)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_Nat_Onat),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(X1),tc_Nat_Onat),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_List_Olist(X1)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X1))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X1)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(X1))))),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_List_Olist(X1)),c_COMBS(tc_List_Olist(X1),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(X1)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(X1)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_Nat_Onat),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(X1),tc_Nat_Onat),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_List_Olist(X1)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X1))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X1)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(X1))))),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_List_Olist(X1)),c_COMBC(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_fun(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(X1)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(X1)),c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))))),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1))))),c_List_Olex(X1,X2)))))=c_List_Olenlex(X1,X2))). 2.86/3.09 cnf(i_0_4727, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(X1)),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),tc_List_Olist(X1)),hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(tc_List_Olist(X1)))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool))),tc_List_Olist(X1)),c_COMBS(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool))),tc_List_Olist(X1)),hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),X1),c_COMBS(tc_List_Olist(X1),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(X1)),hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(X1)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool))),tc_List_Olist(X1)),c_COMBB(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),tc_List_Olist(X1)),c_COMBB(tc_List_Olist(X1),tc_HOL_Obool,tc_List_Olist(X1))),c_fequal))),c_List_Olist_OCons(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),X1),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(X1))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2))),X3))))=c_List_Oset__Cons(X1,X2,X3))). 2.86/3.09 cnf(i_0_798, plain, (hAPP(hAPP(c_Nat_Ocompow(X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)=c_Fun_Oid(X1))). 2.86/3.09 cnf(i_0_3043, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))). 2.86/3.09 cnf(i_0_4418, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1))). 2.86/3.09 cnf(i_0_3796, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))). 2.86/3.09 cnf(i_0_384, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1))). 2.86/3.09 cnf(i_0_2302, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_3741, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=hAPP(c_fequal,X2))). 2.86/3.09 cnf(i_0_1007, plain, (c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool))=hAPP(c_List_Olexn(X1,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))). 2.86/3.09 cnf(i_0_262, plain, (c_Fun_Oid(tc_prod(X1,X2))=hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X1,X2)),c_Product__Type_OPair(X1,X2)))). 2.86/3.09 cnf(i_0_4466, plain, (c_List_Oremove1(X1,X2,c_List_Oremove1(X1,X3,X4))=c_List_Oremove1(X1,X3,c_List_Oremove1(X1,X2,X4)))). 2.86/3.09 cnf(i_0_4953, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(c_List_Orev(X1),X3))=hAPP(c_List_Orev(X1),hAPP(c_List_Ofilter(X1,X2),X3)))). 2.86/3.09 cnf(i_0_4346, plain, (c_List_Opartition(X1,X2,c_List_Olist_ONil(X1))=hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1)))). 2.86/3.09 cnf(i_0_3437, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))). 2.86/3.09 cnf(i_0_1101, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2))). 2.86/3.09 cnf(i_0_4612, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2))). 2.86/3.09 cnf(i_0_5169, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X2))=hAPP(hAPP(hAPP(c_COMBS(X4,X5,X6),X1),X3),X2))). 2.86/3.09 cnf(i_0_3063, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),X1))). 2.86/3.09 cnf(i_0_2387, plain, (c_List_Olists(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_5650, plain, (c_List_Olistset(X1,c_List_Olist_ONil(tc_fun(X1,tc_HOL_Obool)))=hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_3808, plain, (hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),X2),c_List_Olist_ONil(X1)),X3)=hAPP(c_Lazy__Sequence_Oanamorph(X2,X1,X4,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),X3))). 2.86/3.09 cnf(i_0_4254, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),c_List_Obutlast(X1,X4))=c_List_Obutlast(X2,hAPP(hAPP(c_List_Omap(X1,X2),X3),X4)))). 2.86/3.09 cnf(i_0_5267, plain, (c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))=hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))). 2.86/3.09 cnf(i_0_2134, plain, (c_Divides_Odivmod__int(X1,X2)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))). 2.86/3.09 cnf(i_0_3708, plain, (hAPP(hAPP(X1,X2),hAPP(c_Nat_Onat_Onat__rec(X3,X4,X1),X2))=hAPP(c_Nat_Onat_Onat__rec(X3,X4,X1),hAPP(c_Nat_OSuc,X2)))). 2.86/3.09 cnf(i_0_4762, plain, (c_Random__Sequence_Oempty(X1,X2,X3)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(X1)))). 2.86/3.09 cnf(i_0_5219, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))). 2.86/3.09 cnf(i_0_3622, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)))). 2.86/3.09 cnf(i_0_4729, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_List_Oset(X1),X4))=hAPP(c_List_Oset(X2),hAPP(hAPP(c_List_Omap(X1,X2),X3),X4)))). 2.86/3.09 cnf(i_0_2852, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_5540, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))). 2.86/3.09 cnf(i_0_1389, plain, (hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))=hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(c_List_Otl(X2),X4)))). 2.86/3.09 cnf(i_0_5757, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(c_List_Orev(X1),X4))=hAPP(c_List_Orev(X2),hAPP(hAPP(c_List_Omap(X1,X2),X3),X4)))). 2.86/3.09 cnf(i_0_826, plain, (hAPP(c_List_Orotate1(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1))))). 2.86/3.09 cnf(i_0_692, plain, (hAPP(hAPP(X1,X2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(X3,X4,X1,X2))=c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(X3,X4,X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X2)))))). 2.86/3.09 cnf(i_0_4522, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X2),X2,hAPP(X3,X5),c_Option_Ooption_OSome(X2)),hAPP(X4,X5)))). 2.86/3.09 cnf(i_0_4534, plain, (c_List_Olist_Olist__size(X1,X2,hAPP(hAPP(c_List_Omap(X3,X1),X4),X5))=c_List_Olist_Olist__size(X3,hAPP(c_Fun_Ocomp(X1,tc_Nat_Onat,X3,X2),X4),X5))). 2.86/3.09 cnf(i_0_4088, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)))). 2.86/3.09 cnf(i_0_1580, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(X1,X2,X3))=c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(X2,X3)))). 2.86/3.09 cnf(i_0_3058, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X5)=hAPP(hAPP(X4,hAPP(c_Product__Type_Ofst(X1,X2),X5)),hAPP(c_Product__Type_Osnd(X1,X2),X5)))). 2.86/3.09 cnf(i_0_3281, plain, (hAPP(c_Product__Type_Osnd(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Opartition(X1,X2,X3))=hAPP(c_List_Ofilter(X1,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,X1,c_fNot),X2)),X3))). 2.86/3.09 cnf(i_0_7156, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_7053, plain, (c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2))=hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))). 2.86/3.09 cnf(i_0_3381, plain, (hAPP(c_Relation_Oconverse(X1,X1),hAPP(hAPP(c_Relation_Oinv__image(X2,X1),X3),X4))=hAPP(hAPP(c_Relation_Oinv__image(X2,X1),hAPP(c_Relation_Oconverse(X2,X2),X3)),X4))). 2.86/3.09 cnf(i_0_4941, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3)),X4)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),X4)))). 2.86/3.09 cnf(i_0_1258, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X1),X2),X5))=hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X1),X2),hAPP(c_Nat_OSuc,X5)))). 2.86/3.09 cnf(i_0_5029, plain, (hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool))),X2)=hAPP(c_Set_OPow(X1),X2))). 2.86/3.09 cnf(i_0_5817, plain, (hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))=hAPP(c_Set_OPow(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_983, plain, (hAPP(c_List_Ofoldl(X1,X2,X3,X4),hAPP(hAPP(c_List_Olist_OCons(X2),X5),X6))=hAPP(c_List_Ofoldl(X1,X2,X3,hAPP(hAPP(X3,X4),X5)),X6))). 2.86/3.09 cnf(i_0_230, plain, (hAPP(c_Set_Oimage(X1,X2,hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(c_Set_Oimage(X3,X2,X4),hAPP(c_Set_Oimage(X1,X3,X5),X6)))). 2.86/3.09 cnf(i_0_3209, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(c_Fun_Ocomp(X4,X1,X2,X5),X6))=hAPP(hAPP(c_COMBB(X4,tc_HOL_Obool,X2),hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X4),X3),X5)),X6))). 2.86/3.09 cnf(i_0_1826, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),hAPP(hAPP(c_List_Omap(X3,X1),X4),X5))=hAPP(hAPP(c_List_Omap(X3,X1),X4),hAPP(hAPP(c_List_Odrop(X3),X2),X5)))). 2.86/3.09 cnf(i_0_4667, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(hAPP(c_List_Otake(X1),X4),X5))=hAPP(hAPP(c_List_Otake(X2),X4),hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))). 2.86/3.09 cnf(i_0_5164, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),c_Relation_OField(X1))=hAPP(c_Relation_OField(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2)))). 2.86/3.09 cnf(i_0_1388, plain, (hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(X1),X2))=hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(X1),X2),X3),X4))). 2.86/3.09 cnf(i_0_6327, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5))=hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)))). 2.86/3.09 cnf(i_0_5209, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(X1,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X3),c_Set_Oimage(X1,X2,X4))=hAPP(c_Set_Oimage(X1,X2,X4),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)))). 2.86/3.09 cnf(i_0_5707, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))=hAPP(hAPP(c_List_Olist_OCons(X2),hAPP(X3,X4)),hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))). 2.86/3.09 cnf(i_0_5375, plain, (hAPP(c_Set_Oimage(X1,X2,hAPP(hAPP(c_COMBB(X3,X2,X1),X4),X5)),X6)=hAPP(c_Set_Oimage(X3,X2,X4),hAPP(c_Set_Oimage(X1,X3,X5),X6)))). 2.86/3.09 cnf(i_0_2315, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.86/3.09 cnf(i_0_960, plain, (hAPP(c_Relation_ORange(X1,X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X3),c_Relation_ORange(X1,X2)))). 2.86/3.09 cnf(i_0_5873, plain, (hAPP(c_Relation_ODomain(X1,X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),c_Relation_ODomain(X1,X2)))). 2.86/3.09 cnf(i_0_6692, plain, (hAPP(hAPP(c_List_Omap(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_List_Omap(X3,X2),X4),hAPP(hAPP(c_List_Omap(X1,X3),X5),X6)))). 2.86/3.09 cnf(i_0_1178, plain, (hAPP(hAPP(c_Option_Omap(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Option_Omap(X3,X2),X4),hAPP(hAPP(c_Option_Omap(X1,X3),X5),X6)))). 2.86/3.09 cnf(i_0_4539, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,hAPP(c_Fun_Ocomp(X4,X2,X1,X5),X6)),X7)=hAPP(c_Fun_Ocomp(X4,X2,X3,X5),hAPP(c_Fun_Ocomp(X1,X4,X3,X6),X7)))). 2.86/3.09 cnf(i_0_5490, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)))). 2.86/3.09 cnf(i_0_477, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)))). 2.86/3.09 cnf(i_0_786, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(X1,X2))=hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(X3,X1,X2)))). 2.86/3.09 cnf(i_0_6667, plain, (hAPP(c_Relation_ORange(X1,X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3))=hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X2),c_HOL_OEx(X1)),hAPP(c_COMBC(X1,X2,tc_HOL_Obool),X3)))). 2.86/3.09 cnf(i_0_2438, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(X1,X2)),hAPP(c_Nat_OSuc,c_List_Olist_Olist__size(X3,X1,X4)))=c_List_Olist_Olist__size(X3,X1,hAPP(hAPP(c_List_Olist_OCons(X3),X2),X4)))). 2.86/3.09 cnf(i_0_1902, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X4)),X5),hAPP(X3,X6))=hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(hAPP(c_List_Olist__update(X2,X4),X5),X6)))). 2.86/3.09 cnf(i_0_809, plain, (hAPP(hAPP(c_List_Omap(X1,tc_prod(X1,X1)),hAPP(hAPP(c_COMBS(X1,X1,tc_prod(X1,X1)),c_Product__Type_OPair(X1,X1)),c_COMBI(X1))),X2)=hAPP(hAPP(c_List_Ozip(X1,X1),X2),X2))). 2.86/3.09 cnf(i_0_3169, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),c_Option_Ooption_ONone(X2))=c_Map_Orestrict__map(X1,X2,X3,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_4972, plain, (hAPP(hAPP(hAPP(X1,X2),X3),c_Com_Ocom_Ocom__rec(X4,X5,X6,X7,X8,X9,X1,X10,X11,X3))=c_Com_Ocom_Ocom__rec(X4,X5,X6,X7,X8,X9,X1,X10,X11,c_Com_Ocom_OWhile(X2,X3)))). 2.86/3.09 cnf(i_0_1789, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.86/3.09 cnf(i_0_5012, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.86/3.09 cnf(i_0_6257, plain, (c_List_Otranspose(X1,hAPP(hAPP(c_List_Omap(tc_List_Olist(X2),tc_List_Olist(X1)),hAPP(c_List_Omap(X2,X1),X3)),X4))=hAPP(hAPP(c_List_Omap(tc_List_Olist(X2),tc_List_Olist(X1)),hAPP(c_List_Omap(X2,X1),X3)),c_List_Otranspose(X2,X4)))). 2.86/3.09 cnf(i_0_6433, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X3),hAPP(hAPP(c_Relation_Orel__comp(X1,X4,X2),X5),X6)),X7)=hAPP(hAPP(c_Relation_Orel__comp(X1,X4,X3),X5),hAPP(hAPP(c_Relation_Orel__comp(X4,X2,X3),X6),X7)))). 2.86/3.09 cnf(i_0_997, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Ofilter(X1,hAPP(c_Fun_Ocomp(X2,tc_HOL_Obool,X1,X3),X4)),X5))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),hAPP(c_List_Ofilter(X2,X3),hAPP(hAPP(c_List_Omap(X1,X2),X4),X5))))). 2.86/3.09 cnf(i_0_3766, plain, (hAPP(c_Fun_Ocomp(X1,X2,tc_prod(X1,X3),X4),c_Product__Type_Ofst(X1,X3))=hAPP(c_Fun_Ocomp(tc_prod(X2,X5),X2,tc_prod(X1,X3),c_Product__Type_Ofst(X2,X5)),c_Product__Type_Omap__pair(X1,X2,X3,X5,X4,X6)))). 2.86/3.09 cnf(i_0_1368, plain, (hAPP(c_Fun_Ocomp(tc_prod(X1,X2),X2,tc_prod(X3,X4),c_Product__Type_Osnd(X1,X2)),c_Product__Type_Omap__pair(X3,X1,X4,X2,X5,X6))=hAPP(c_Fun_Ocomp(X4,X2,tc_prod(X3,X4),X6),c_Product__Type_Osnd(X3,X4)))). 2.86/3.09 cnf(i_0_2653, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X1)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X3))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)))). 2.86/3.09 cnf(i_0_5314, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(c_Fun_Ocomp(X4,tc_fun(X2,tc_HOL_Obool),X1,X5),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_HOL_Obool)),hAPP(c_Set_Oimage(X1,X4,X6),X3)),X5))). 2.86/3.09 cnf(i_0_6865, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(c_Fun_Ocomp(X4,tc_fun(X2,X3),X1,X5),X6)),X7)=hAPP(hAPP(X5,hAPP(X6,hAPP(c_Product__Type_Ofst(X1,X2),X7))),hAPP(c_Product__Type_Osnd(X1,X2),X7)))). 2.86/3.09 cnf(i_0_2310, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X5)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),hAPP(X5,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_4396, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X5)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),hAPP(X5,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_3458, plain, (hAPP(hAPP(hAPP(hAPP(X1,X2),X3),X4),c_Com_Ocom_Ocom__rec(X5,X6,X7,X1,X8,X9,X10,X11,X12,X4))=c_Com_Ocom_Ocom__rec(X5,X6,X7,X1,X8,X9,X10,X11,X12,c_Com_Ocom_OLocal(X2,X3,X4)))). 2.86/3.09 cnf(i_0_670, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(c_Set_Oimage(X3,X1,X4),X5)),X6)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X2,tc_HOL_Obool)),X5),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_HOL_Obool),X3),X6),X4)))). 2.86/3.09 cnf(i_0_1188, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(c_Set_Oimage(X3,X1,X4),X5)),X6)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X2,tc_HOL_Obool)),X5),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_HOL_Obool),X3),X6),X4)))). 2.86/3.09 cnf(i_0_5573, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X3,X1),X5),X6),X7))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X3,X2),hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5)),X6),hAPP(X4,X7)))). 2.86/3.09 cnf(i_0_5603, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))=hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X3)))). 2.86/3.09 cnf(i_0_5780, plain, (c_List_Oset__Cons(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))=hAPP(c_Set_Oimage(X1,tc_List_Olist(X1),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Olist_ONil(X1))),X2))). 2.86/3.09 cnf(i_0_4095, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)),hAPP(hAPP(c_List_Olist_OCons(X2),X5),X6))=hAPP(hAPP(c_List_Olist_OCons(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X6)))). 2.86/3.09 cnf(i_0_5702, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X3)),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Map_Odom(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),c_Option_Ooption_ONone(X2))))). 2.86/3.09 cnf(i_0_125, plain, (hAPP(c_Product__Type_Omap__pair(X1,X2,X3,X3,hAPP(c_Fun_Ocomp(X4,X2,X1,X5),X6),c_Fun_Oid(X3)),X7)=hAPP(c_Product__Type_Omap__pair(X4,X2,X3,X3,X5,c_Fun_Oid(X3)),hAPP(c_Product__Type_Omap__pair(X1,X4,X3,X3,X6,c_Fun_Oid(X3)),X7)))). 2.86/3.09 cnf(i_0_4149, plain, (hAPP(c_Product__Type_Omap__pair(X1,X1,X2,X3,c_Fun_Oid(X1),X4),hAPP(c_Product__Type_Omap__pair(X1,X1,X5,X2,c_Fun_Oid(X1),X6),X7))=hAPP(c_Product__Type_Omap__pair(X1,X1,X5,X3,c_Fun_Oid(X1),hAPP(c_Fun_Ocomp(X2,X3,X5,X4),X6)),X7))). 2.86/3.09 cnf(i_0_3176, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X4),c_List_Orotate1(X1)),X5))=hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X2),tc_List_Olist(X2)),X4),c_List_Orotate1(X2)),hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))). 2.86/3.09 cnf(i_0_1560, plain, (hAPP(c_Product__Type_Omap__pair(X1,X2,X3,X4,X5,X6),hAPP(c_Product__Type_Omap__pair(X7,X1,X8,X3,X9,X10),X11))=hAPP(c_Product__Type_Omap__pair(X7,X2,X8,X4,hAPP(c_Fun_Ocomp(X1,X2,X7,X5),X9),hAPP(c_Fun_Ocomp(X3,X4,X8,X6),X10)),X11))). 2.86/3.09 cnf(i_0_79, plain, (hAPP(hAPP(c_List_Olist__update(tc_prod(X1,X2),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)),X5),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X6),X7))=hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist__update(X1,X3),X5),X6)),hAPP(hAPP(c_List_Olist__update(X2,X4),X5),X7)))). 2.86/3.09 cnf(i_0_2085, plain, (hAPP(c_Product__Type_Omap__pair(X1,X1,X2,X3,c_Fun_Oid(X1),X4),hAPP(c_Product__Type_Omap__pair(X5,X1,X2,X2,X6,c_Fun_Oid(X2)),X7))=hAPP(c_Product__Type_Omap__pair(X5,X1,X3,X3,X6,c_Fun_Oid(X3)),hAPP(c_Product__Type_Omap__pair(X5,X5,X2,X3,c_Fun_Oid(X5),X4),X7)))). 2.86/3.09 cnf(i_0_7224, plain, (hAPP(c_Product__Type_Omap__pair(X1,X2,X3,X3,X4,c_Fun_Oid(X3)),hAPP(c_Product__Type_Omap__pair(X1,X1,X5,X3,c_Fun_Oid(X1),X6),X7))=hAPP(hAPP(c_Product__Type_OPair(X2,X3),hAPP(X4,hAPP(c_Product__Type_Ofst(X1,X5),X7))),hAPP(X6,hAPP(c_Product__Type_Osnd(X1,X5),X7))))). 2.86/3.09 cnf(i_0_6864, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),hAPP(X3,hAPP(c_Product__Type_Ofst(X4,X5),X6))),hAPP(X7,hAPP(c_Product__Type_Osnd(X4,X5),X6)))=hAPP(c_Product__Type_Omap__pair(X1,X1,X5,X2,c_Fun_Oid(X1),X7),hAPP(c_Product__Type_Omap__pair(X4,X1,X5,X5,X3,c_Fun_Oid(X5)),X6)))). 2.86/3.09 cnf(i_0_7062, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_5451, plain, (hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))). 2.86/3.09 cnf(i_0_3327, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),X3),X4),hAPP(c_List_Orev(X2),hAPP(hAPP(c_List_Olist_OCons(X2),X5),X6)))=hAPP(hAPP(X3,X5),hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),X3),X4),hAPP(c_List_Orev(X2),X6))))). 2.86/3.09 cnf(i_0_5058, plain, (c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Omap(X1,tc_prod(X1,X2)),hAPP(hAPP(c_COMBS(X1,X2,tc_prod(X1,X2)),c_Product__Type_OPair(X1,X2)),X3)),X4))=c_Map_Orestrict__map(X1,X2,hAPP(c_Fun_Ocomp(X2,tc_Option_Ooption(X2),X1,c_Option_Ooption_OSome(X2)),X3),hAPP(c_List_Oset(X1),X4)))). 2.86/3.09 cnf(i_0_373, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X4))=hAPP(c_List_Ofoldl(tc_List_Olist(X2),tc_List_Olist(X2),c_List_Oappend(X2),c_List_Olist_ONil(X2)),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(X2)),hAPP(c_List_Omap(X1,X2),X3)),X4)))). 2.86/3.09 cnf(i_0_3502, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),X2))). 2.86/3.09 cnf(i_0_3067, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))),X1))). 2.86/3.09 cnf(i_0_5893, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),hAPP(c_Fun_Ocomp(X3,tc_fun(X1,X1),X2,X4),X5)),X6),hAPP(c_List_Orev(X2),X7))=hAPP(c_List_Ofoldl(X1,X3,hAPP(c_COMBC(X3,X1,X1),X4),X6),hAPP(c_List_Orev(X3),hAPP(hAPP(c_List_Omap(X2,X3),X5),X7))))). 2.86/3.09 cnf(i_0_118, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat),X3),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X4)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X4,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4))),X3))). 2.86/3.09 cnf(i_0_1963, plain, (hAPP(hAPP(c_COMBB(tc_prod(X1,X2),tc_HOL_Obool,X2),X3),hAPP(c_Product__Type_OPair(X1,X2),X4))=hAPP(c_Relation_OImage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_484, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)))))). 2.86/3.09 cnf(i_0_2609, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)))))). 2.86/3.09 cnf(i_0_4015, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint)))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 2.86/3.09 cnf(i_0_5178, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(c_Set_Oimage(X3,X1,X4),X5)),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Set_Oimage(X6,X2,X7),X8)))=hAPP(c_Set_Oimage(tc_prod(X3,X6),tc_prod(X1,X2),c_Product__Type_Omap__pair(X3,X1,X6,X2,X4,X7)),hAPP(hAPP(c_Product__Type_OSigma(X3,X6),X5),hAPP(c_COMBK(tc_fun(X6,tc_HOL_Obool),X3),X8))))). 2.86/3.09 cnf(i_0_7281, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(X3),tc_Option_Ooption(X2),X1,hAPP(c_Option_Omap(X3,X2),X4)),X5)),X6),hAPP(c_Option_Ooption_OSome(X2),hAPP(X4,X7)))=hAPP(c_Fun_Ocomp(tc_Option_Ooption(X3),tc_Option_Ooption(X2),X1,hAPP(c_Option_Omap(X3,X2),X4)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X3)),X5),X6),hAPP(c_Option_Ooption_OSome(X3),X7))))). 2.86/3.09 cnf(i_0_5310, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Osublist(X1,X2,X3))=hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))),X3)))). 2.86/3.09 cnf(i_0_5935, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_1378, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X1))). 2.86/3.09 cnf(i_0_931, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))))). 2.86/3.09 cnf(i_0_26, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X5))=hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool))),X4)),X5)))). 2.86/3.09 cnf(i_0_6014, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X5)))). 2.86/3.09 cnf(i_0_5246, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X5)))). 2.86/3.09 cnf(i_0_6342, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),X2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)))))). 2.86/3.09 cnf(i_0_2647, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X5))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBS(X2,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool))),X4)),X5)))). 2.86/3.09 cnf(i_0_6755, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 2.86/3.09 cnf(i_0_110, plain, (hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X3,X4),hAPP(hAPP(c_Product__Type_Oscomp(X1,X5,X6,tc_prod(X2,X3)),X7),X8)),X9)=hAPP(hAPP(c_Product__Type_Oscomp(X1,X5,X6,X4),X7),hAPP(hAPP(c_COMBC(X5,tc_fun(X2,tc_fun(X3,X4)),tc_fun(X6,X4)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X2,X3)),tc_fun(tc_fun(X2,tc_fun(X3,X4)),tc_fun(X6,X4)),X5),c_Product__Type_Oscomp(X6,X2,X3,X4)),X8)),X9)))). 2.86/3.09 cnf(i_0_4843, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,tc_Nat_Onat),X1),c_Product__Type_Ofst(X1,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(X1,tc_Nat_Onat)),X2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(X1,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(X1,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(X1,tc_Nat_Onat),X3),X4)))=hAPP(hAPP(c_List_Omap(tc_prod(X1,tc_Nat_Onat),X1),c_Product__Type_Ofst(X1,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(X1,tc_Nat_Onat)),X2),c_Product__Type_Osnd(X1,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(X1,tc_Nat_Onat),X3),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),X4)))))). 2.86/3.09 cnf(i_0_6409, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4))=c_Nitpick_Oprod(X1,X2,X3,X4))). 2.86/3.09 cnf(i_0_1555, plain, (hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X2),c_HOL_OAll(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2),hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fimplies),X3))),X4))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_OCollect(X2)),hAPP(c_COMBC(X2,X1,tc_HOL_Obool),X4))))). 2.86/3.09 cnf(i_0_7182, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(c_Set_Oimage(X2,X1,X6),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(c_Set_Oimage(X2,X1,hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBS(X2,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),X2),c_If(X1)),X5)),X3)),X6)),X4))). 2.86/3.09 cnf(i_0_6899, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X3)),X4)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X5)),X4))=c_Map_Odom(X1,X2,hAPP(hAPP(c_COMBS(X1,tc_Option_Ooption(X2),tc_Option_Ooption(X2)),hAPP(hAPP(c_COMBS(X1,tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_Option_Ooption(X2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_Option_Ooption(X2))),X1),c_If(tc_Option_Ooption(X2))),X4)),X3)),X5)))). 2.86/3.09 cnf(i_0_3575, plain, (hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X3))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X2),X4))))))). 2.86/3.09 cnf(i_0_6748, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))). 2.86/3.09 cnf(i_0_1588, plain, (hAPP(c_Set_Oimage(X1,tc_prod(X2,X3),hAPP(hAPP(c_COMBS(X1,X3,tc_prod(X2,X3)),hAPP(hAPP(c_COMBB(X2,tc_fun(X3,tc_prod(X2,X3)),X1),c_Product__Type_OPair(X2,X3)),X4)),X5)),X6)=hAPP(hAPP(c_Product__Type_OSigma(X2,X3),hAPP(c_Set_Oimage(X1,X2,X4),X6)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X2),c_Set_Oimage(X1,X3,X5)),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2),c_Set_Ovimage(X1,X2,X4)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),c_Set_Oinsert(X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))))),X6))))). 2.86/3.09 cnf(i_0_2961, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),X2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2)))))). 2.86/3.09 cnf(i_0_2304, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,tc_Nat_Onat),X1),c_Product__Type_Ofst(X1,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(X1,tc_Nat_Onat)),X2),hAPP(hAPP(c_COMBC(tc_prod(X1,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(X1,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(X1,tc_Nat_Onat))),X3))),hAPP(hAPP(c_List_Ozip(X1,tc_Nat_Onat),X4),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))))))=hAPP(hAPP(c_List_Omap(tc_prod(X1,tc_Nat_Onat),X1),c_Product__Type_Ofst(X1,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(X1,tc_Nat_Onat)),X2),c_Product__Type_Osnd(X1,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(X1,tc_Nat_Onat),X4),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))))))))). 2.86/3.09 cnf(i_0_6656, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4)),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4)))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),hAPP(hAPP(c_COMBB(tc_prod(X1,X1),tc_HOL_Obool,X1),c_Transitive__Closure_Ortrancl(X1,X4)),hAPP(hAPP(c_COMBC(X1,X1,tc_prod(X1,X1)),c_Product__Type_OPair(X1,X1)),X2))),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),hAPP(hAPP(c_COMBB(tc_prod(X1,X1),tc_HOL_Obool,X1),c_Transitive__Closure_Ortrancl(X1,X4)),hAPP(c_Product__Type_OPair(X1,X1),X3))))))). 2.86/3.09 cnf(i_0_6840, negated_conjecture, (~v_R(v_Z,v_s_H))). 2.86/3.09 cnf(i_0_6370, plain, (~hBOOL(c_fFalse))). 2.86/3.09 cnf(i_0_5393, plain, (c_Groups_Oone__class_Oone(tc_Int_Oint)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_978, plain, (hAPP(c_Nat_OSuc,X1)!=X1)). 2.86/3.09 cnf(i_0_6305, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(X1,X2))). 2.86/3.09 cnf(i_0_5841, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(X1,X2))). 2.86/3.09 cnf(i_0_3735, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)). 2.86/3.09 cnf(i_0_5515, plain, (c_Com_Ocom_OSKIP!=hAPP(c_Com_Ocom_OBODY,X1))). 2.86/3.09 cnf(i_0_5990, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OSKIP)). 2.86/3.09 cnf(i_0_4368, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OSKIP)). 2.86/3.09 cnf(i_0_3223, plain, (hAPP(c_Nat_OSuc,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2188, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)). 2.86/3.09 cnf(i_0_1479, plain, (~hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_168, plain, (~hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_465, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)!=c_Option_Ooption_ONone(X1))). 2.86/3.09 cnf(i_0_5078, plain, (c_Com_Ocom_OSemi(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))). 2.86/3.09 cnf(i_0_7386, plain, (~c_Option_Ois__none(X1,hAPP(c_Option_Ooption_OSome(X1),X2)))). 2.86/3.09 cnf(i_0_2808, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))). 2.86/3.09 cnf(i_0_1322, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))). 2.86/3.09 cnf(i_0_4416, plain, (c_Com_Ocom_OWhile(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))). 2.86/3.09 cnf(i_0_7261, plain, (c_Com_Ocom_OAss(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))). 2.86/3.09 cnf(i_0_3472, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))). 2.86/3.09 cnf(i_0_4701, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_656, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)!=X3)). 2.86/3.09 cnf(i_0_2056, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))). 2.86/3.09 cnf(i_0_4352, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))). 2.86/3.09 cnf(i_0_471, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))). 2.86/3.09 cnf(i_0_1853, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))). 2.86/3.09 cnf(i_0_4543, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_7079, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))). 2.86/3.09 cnf(i_0_3692, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OAss(X4,X5))). 2.86/3.09 cnf(i_0_6501, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OLocal(X2,X3,X4))). 2.86/3.09 cnf(i_0_4397, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OCall(X2,X3,X4))). 2.86/3.09 cnf(i_0_425, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OAss(X4,X5))). 2.86/3.09 cnf(i_0_5304, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OSemi(X4,X5))). 2.86/3.09 cnf(i_0_15, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=hAPP(c_Com_Ocom_OBODY,X4))). 2.86/3.09 cnf(i_0_731, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OAss(X4,X5))). 2.86/3.09 cnf(i_0_4253, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)!=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_4237, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_401, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_2485, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_1543, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X1)))). 2.86/3.09 cnf(i_0_3311, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_620, plain, (~hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))))). 2.86/3.09 cnf(i_0_4940, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))). 2.86/3.09 cnf(i_0_1060, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))). 2.86/3.09 cnf(i_0_220, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))). 2.86/3.09 cnf(i_0_2527, plain, (hAPP(c_Set_OPow(X1),X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_2292, plain, (~c_Wellfounded_Omax__extp(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_727, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_1983, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X1)))). 2.86/3.09 cnf(i_0_239, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_1171, plain, (~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_4813, plain, (~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_859, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X1)))!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.86/3.09 cnf(i_0_4147, plain, (hAPP(c_Sum__Type_OInr(X1,X2),X3)!=hAPP(c_Sum__Type_OInl(X2,X1),X4))). 2.86/3.09 cnf(i_0_2456, plain, (~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3)))). 2.86/3.09 cnf(i_0_533, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)))). 2.86/3.09 cnf(i_0_8, plain, (~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_1413, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X2)))). 2.86/3.09 cnf(i_0_6563, plain, (~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(X1)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_2326, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4)))). 2.86/3.09 cnf(i_0_6774, plain, (hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),X2),X3)!=hAPP(c_Set_OPow(X1),X3))). 2.86/3.09 cnf(i_0_6987, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_5621, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_2998, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)))). 2.86/3.09 cnf(i_0_1127, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)))). 2.86/3.09 cnf(i_0_6424, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))). 2.86/3.09 cnf(i_0_3105, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))!=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_5632, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5))!=hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)))). 2.86/3.09 cnf(i_0_400, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))))). 2.86/3.09 cnf(i_0_636, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,X1))))))). 2.86/3.09 cnf(i_0_3399, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5171, plain, (~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olex(X1,X3))))). 2.86/3.09 cnf(i_0_490, plain, (~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olistrel1(X1,X3))))). 2.86/3.09 cnf(i_0_6858, plain, (~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olexord(X1,X3))))). 2.86/3.09 cnf(i_0_3352, plain, (~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olex(X1,X3))))). 2.86/3.09 cnf(i_0_3806, plain, (~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olistrel1(X1,X3))))). 2.86/3.09 cnf(i_0_3924, plain, (~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Wellfounded_Omax__ext(X1,X3))))). 2.86/3.09 cnf(i_0_4245, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))). 2.86/3.09 cnf(i_0_5329, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_799, plain, (c_Groups_Oone__class_Oone(X1)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ozero__neq__one(X1))). 2.86/3.09 cnf(i_0_3354, plain, (~class_Rings_Osemiring__1(X1)|~c_Int_Oiszero(X1,c_Groups_Oone__class_Oone(X1)))). 2.86/3.09 cnf(i_0_5482, plain, (~hBOOL(hAPP(c_fNot,X1))|~hBOOL(X1))). 2.86/3.09 cnf(i_0_452, plain, (class_Finite__Set_Ofinite(tc_Option_Ooption(X1))|~class_Finite__Set_Ofinite(X1))). 2.86/3.09 cnf(i_0_6112, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Nitpick_Owf_H(X1,X2))). 2.86/3.09 cnf(i_0_6296, plain, (X1=c_Option_Ooption_ONone(X2)|~c_Option_Ois__none(X2,X1))). 2.86/3.09 cnf(i_0_2086, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_6639, plain, (c_Orderings_Oord__class_Omin(X1)=c_Lattices_Osemilattice__inf__class_Oinf(X1)|~class_Lattices_Osemilattice__inf(X1)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_1541, plain, (c_Orderings_Oord__class_Omax(X1)=c_Lattices_Osemilattice__sup__class_Osup(X1)|~class_Lattices_Osemilattice__sup(X1)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_6721, plain, (~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_7385, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X3,X2))). 2.86/3.09 cnf(i_0_4405, plain, (c_List_Onat__list(X1)|~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),X1)))). 2.86/3.09 cnf(i_0_1522, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Onumber__ring(X1))). 2.86/3.09 cnf(i_0_4313, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|~class_Rings_Osemiring__1(X1)|~c_Int_Oiszero(X1,X2))). 2.86/3.09 cnf(i_0_3, plain, (c_Int_Oiszero(X1,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Osemiring__1(X1))). 2.86/3.09 cnf(i_0_2841, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Olist_ONil(X1))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_2417, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))). 2.86/3.09 cnf(i_0_3315, plain, (class_Lattices_Osemilattice__inf(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 2.86/3.09 cnf(i_0_7423, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 2.86/3.09 cnf(i_0_215, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 2.86/3.09 cnf(i_0_1170, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))). 2.86/3.09 cnf(i_0_1489, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))). 2.86/3.09 cnf(i_0_4120, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fconj,X2),X1)))). 2.86/3.09 cnf(i_0_4957, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fconj,X1),X2)))). 2.86/3.09 cnf(i_0_2435, plain, (class_Lattices_Osemilattice__sup(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 2.86/3.09 cnf(i_0_7038, plain, (class_Groups_Ominus(tc_fun(X1,X2))|~class_Groups_Ominus(X2))). 2.86/3.09 cnf(i_0_529, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))). 2.86/3.09 cnf(i_0_1540, plain, (class_Orderings_Oord(tc_fun(X1,X2))|~class_Orderings_Oord(X2))). 2.86/3.09 cnf(i_0_909, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))). 2.86/3.09 cnf(i_0_6866, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))). 2.86/3.09 cnf(i_0_2029, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))). 2.86/3.09 cnf(i_0_5232, plain, (class_Groups_Ouminus(tc_fun(X1,X2))|~class_Groups_Ouminus(X2))). 2.86/3.09 cnf(i_0_838, plain, (X1=X2|hAPP(c_Nat_OSuc,X1)!=hAPP(c_Nat_OSuc,X2))). 2.86/3.09 cnf(i_0_682, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X2)!=c_Com_Ocom_OSemi(X4,X1))). 2.86/3.09 cnf(i_0_681, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))). 2.86/3.09 cnf(i_0_6956, plain, (X1=X2|c_Com_Ocom_OWhile(X3,X1)!=c_Com_Ocom_OWhile(X4,X2))). 2.86/3.09 cnf(i_0_6957, plain, (X1=X2|c_Com_Ocom_OWhile(X1,X3)!=c_Com_Ocom_OWhile(X2,X4))). 2.86/3.09 cnf(i_0_4777, plain, (X1=X2|hAPP(c_Com_Ocom_OBODY,X1)!=hAPP(c_Com_Ocom_OBODY,X2))). 2.86/3.09 cnf(i_0_204, plain, (X1=X2|hAPP(c_Code__Numeral_Onat__of,X1)!=hAPP(c_Code__Numeral_Onat__of,X2))). 2.86/3.09 cnf(i_0_6088, plain, (X1=X2|hAPP(c_Int_ORep__Integ,X1)!=hAPP(c_Int_ORep__Integ,X2))). 2.86/3.09 cnf(i_0_5526, plain, (X1=X2|c_Com_Ocom_OAss(X3,X1)!=c_Com_Ocom_OAss(X4,X2))). 2.86/3.09 cnf(i_0_5527, plain, (X1=X2|c_Com_Ocom_OAss(X1,X3)!=c_Com_Ocom_OAss(X2,X4))). 2.86/3.09 cnf(i_0_922, plain, (X1=X2|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2))). 2.86/3.09 cnf(i_0_6996, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal,X1),X2)))). 2.86/3.09 cnf(i_0_2311, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X2)))). 2.86/3.09 cnf(i_0_3548, plain, (c_Wellfounded_Owf(X1,X2)|esk225_2(X2,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6750, plain, (hBOOL(hAPP(c_fNot,X1))|hBOOL(X1))). 2.86/3.09 cnf(i_0_267, plain, (class_Lattices_Obounded__lattice__top(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 2.86/3.09 cnf(i_0_2359, plain, (class_Lattices_Obounded__lattice__bot(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 2.86/3.09 cnf(i_0_1749, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6115, plain, (c_Nitpick_Owf_H(X1,X2)|~c_Nitpick_Ounknown(tc_HOL_Obool)|~c_Wellfounded_Oacyclic(X1,X2))). 2.86/3.09 cnf(i_0_1033, plain, (X1=c_List_Olist_ONil(X2)|hAPP(c_List_Orev(X2),X1)!=c_List_Olist_ONil(X2))). 2.86/3.09 cnf(i_0_1995, plain, (c_List_Olist_ONil(X1)=X2|hAPP(c_List_Orotate1(X1),X2)!=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_5768, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Osemiring__1(X1))). 2.86/3.09 cnf(i_0_832, plain, (c_Option_Ooption_ONone(X1)=X2|c_Option_Oset(X1,X2)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5715, plain, (c_Nat__Transfer_Ois__nat(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_3763, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Osemiring__1(X1))). 2.86/3.09 cnf(i_0_3174, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__1(X1))). 2.86/3.09 cnf(i_0_5586, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|esk381_1(X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_157, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Osgn__class_Osgn(X2,X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__idom(X2))). 2.86/3.09 cnf(i_0_610, plain, (c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(X1,X2))|~c_Nat__Transfer_Ois__nat(X2)|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_1828, plain, (class_Finite__Set_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite(X1)|~class_Finite__Set_Ofinite(X2))). 2.86/3.09 cnf(i_0_1392, plain, (class_Finite__Set_Ofinite(tc_prod(X1,X2))|~class_Finite__Set_Ofinite(X1)|~class_Finite__Set_Ofinite(X2))). 2.86/3.09 cnf(i_0_1775, plain, (hAPP(c_Nat_OSuc,esk106_1(X1))=X1|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1)). 2.86/3.09 cnf(i_0_5572, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fimplies,X2),X1))|~hBOOL(X2))). 2.86/3.09 cnf(i_0_538, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X1),X2)))). 2.86/3.09 cnf(i_0_5599, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X1,hAPP(c_Relation_Oconverse(X1,X1),X2)))). 2.86/3.09 cnf(i_0_4483, plain, (class_Finite__Set_Ofinite(tc_sum(X1,X2))|~class_Finite__Set_Ofinite(X1)|~class_Finite__Set_Ofinite(X2))). 2.86/3.09 cnf(i_0_3046, plain, (class_Smallcheck_Osmall(tc_prod(X1,X2))|~class_Smallcheck_Osmall(X2)|~class_Smallcheck_Osmall(X1))). 2.86/3.09 cnf(i_0_4406, plain, (c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),X1))|~c_List_Onat__list(X1))). 2.86/3.09 cnf(i_0_290, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1))|~class_Lattices_Osemilattice__inf(X1))). 2.86/3.09 cnf(i_0_6078, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.86/3.09 cnf(i_0_7293, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5)!=c_List_Olist_ONil(X1)|~class_Orderings_Olinorder(X2))). 2.86/3.09 cnf(i_0_590, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X2)))). 2.86/3.09 cnf(i_0_4833, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1))|~class_Lattices_Osemilattice__sup(X1))). 2.86/3.09 cnf(i_0_6006, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Orderings_Oord__class_Omin(X1))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_5496, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Groups_Otimes__class_Otimes(X1))|~class_Lattices_Oab__semigroup__idem__mult(X1))). 2.86/3.09 cnf(i_0_2816, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Orderings_Oord__class_Omax(X1))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_1096, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X2)))). 2.86/3.09 cnf(i_0_4688, plain, (c_Finite__Set_Ofun__left__comm(X1,X1,c_Groups_Otimes__class_Otimes(X1))|~class_Groups_Oab__semigroup__mult(X1))). 2.86/3.09 cnf(i_0_2595, plain, (c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_5105, plain, (c_Orderings_Oord_Omin(X1,c_Orderings_Oord__class_Oless__eq(X1))=c_Orderings_Oord__class_Omin(X1)|~class_Orderings_Oord(X1))). 2.86/3.09 cnf(i_0_862, plain, (c_Orderings_Oord_Omax(X1,c_Orderings_Oord__class_Oless__eq(X1))=c_Orderings_Oord__class_Omax(X1)|~class_Orderings_Oord(X1))). 2.86/3.09 cnf(i_0_4948, plain, (c_List_Otranspose(X1,X2)=c_List_Olist_ONil(tc_List_Olist(X1))|esk325_2(X2,X1)!=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_1260, plain, (c_List_Olist_ONil(X1)=X2|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4445, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~class_Finite__Set_Ofinite(X1))). 2.86/3.09 cnf(i_0_3861, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Osgn__if(X1))). 2.86/3.09 cnf(i_0_5957, plain, (X1=X2|c_Com_Ocom_OCond(X3,X4,X2)!=c_Com_Ocom_OCond(X5,X6,X1))). 2.86/3.09 cnf(i_0_5958, plain, (X1=X2|c_Com_Ocom_OCond(X3,X1,X4)!=c_Com_Ocom_OCond(X5,X2,X6))). 2.86/3.09 cnf(i_0_4622, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=X2)). 2.86/3.09 cnf(i_0_2638, plain, (X1=c_List_Olist_ONil(X2)|hAPP(c_List_Oset(X2),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5956, plain, (X1=X2|c_Com_Ocom_OCond(X1,X3,X4)!=c_Com_Ocom_OCond(X2,X5,X6))). 2.86/3.09 cnf(i_0_6339, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X4,X2)!=c_Com_Ocom_OLocal(X5,X6,X1))). 2.86/3.09 cnf(i_0_6340, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X2,X4)!=c_Com_Ocom_OLocal(X5,X1,X6))). 2.86/3.09 cnf(i_0_6338, plain, (X1=X2|c_Com_Ocom_OLocal(X1,X3,X4)!=c_Com_Ocom_OLocal(X2,X5,X6))). 2.86/3.09 cnf(i_0_2397, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Oappend(X2),X1),X3)!=X3)). 2.86/3.09 cnf(i_0_2058, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Oappend(X2),X3),X1)!=X3)). 2.86/3.09 cnf(i_0_5428, plain, (X1=X2|c_Com_Ocom_OCall(X3,X4,X2)!=c_Com_Ocom_OCall(X5,X6,X1))). 2.86/3.09 cnf(i_0_5429, plain, (X1=X2|c_Com_Ocom_OCall(X3,X1,X4)!=c_Com_Ocom_OCall(X5,X2,X6))). 2.86/3.09 cnf(i_0_5427, plain, (X1=X2|c_Com_Ocom_OCall(X1,X3,X4)!=c_Com_Ocom_OCall(X2,X5,X6))). 2.86/3.09 cnf(i_0_4618, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1)!=X1|~class_Groups_Olinordered__ab__group__add(X2))). 2.86/3.09 cnf(i_0_158, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__idom(X1))). 2.86/3.09 cnf(i_0_6077, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),X3))). 2.86/3.09 cnf(i_0_3624, plain, (c_Relation_Osingle__valued(X1,X2,X3)|esk239_3(X3,X2,X1)!=esk238_3(X3,X2,X1))). 2.86/3.09 cnf(i_0_1272, plain, (X1=X2|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))). 2.86/3.09 cnf(i_0_3714, plain, (c_Relation_Ototal__on(X1,X2,X3)|esk251_3(X3,X2,X1)!=esk250_3(X3,X2,X1))). 2.86/3.09 cnf(i_0_4944, plain, (X1=X2|hAPP(c_Option_Ooption_OSome(X3),X1)!=hAPP(c_Option_Ooption_OSome(X3),X2))). 2.86/3.09 cnf(i_0_1098, plain, (X1=X2|hAPP(c_List_Orev(X3),X1)!=hAPP(c_List_Orev(X3),X2))). 2.86/3.09 cnf(i_0_2289, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~c_Wellfounded_Omax__extp(X1,X3,X4,X2))). 2.86/3.09 cnf(i_0_2288, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~c_Wellfounded_Omax__extp(X1,X3,X2,X4))). 2.86/3.09 cnf(i_0_5083, plain, (~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(X1))))). 2.86/3.09 cnf(i_0_360, plain, (c_Divides_Odiv__class_Omod(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_497, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|esk26_2(X2,X1)!=esk27_2(X2,X1))). 2.86/3.09 cnf(i_0_4268, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1(X1))). 2.86/3.09 cnf(i_0_3971, plain, (~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(X1))))). 2.86/3.09 cnf(i_0_5917, plain, (hBOOL(X1)|hBOOL(X2)|~hBOOL(hAPP(hAPP(c_fdisj,X2),X1)))). 2.86/3.09 cnf(i_0_6472, plain, (c_Wellfounded_OwfP(X1,X2)|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk439_2(X2,X1))))). 2.86/3.09 cnf(i_0_5716, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_443, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(X2,X1))))). 2.86/3.09 cnf(i_0_1781, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(X2,X1))))). 2.86/3.09 cnf(i_0_4887, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))). 2.86/3.09 cnf(i_0_90, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hAPP(c_Groups_Oabs__class_Oabs(X1),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.86/3.09 cnf(i_0_1638, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Oappend(X2),X3),X1)!=c_List_Olist_ONil(X2))). 2.86/3.09 cnf(i_0_1782, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(X1,X2))))). 2.86/3.09 cnf(i_0_6760, plain, (c_Quickcheck_Obeyond(X1,X2)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X1),X2)))). 2.86/3.09 cnf(i_0_4617, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Olinordered__ab__group__add(X1))). 2.86/3.09 cnf(i_0_1637, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Oappend(X2),X1),X3)!=c_List_Olist_ONil(X2))). 2.86/3.09 cnf(i_0_901, plain, (X1=X2|c_Sum__Type_OSuml(X3,X4,X5,X1)!=c_Sum__Type_OSuml(X3,X4,X5,X2))). 2.86/3.09 cnf(i_0_5317, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5316, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1796, plain, (c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))|~c_Nat__Transfer_Ois__nat(X2)|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_526, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hAPP(c_Int_Oring__1__class_Oof__int(X2),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Int_Oring__char__0(X2))). 2.86/3.09 cnf(i_0_5812, plain, (X1=X2|c_Sum__Type_OSumr(X3,X4,X5,X1)!=c_Sum__Type_OSumr(X3,X4,X5,X2))). 2.86/3.09 cnf(i_0_3651, plain, (X1=X2|c_Nitpick_Opair__box_OPairBox(X3,X4,X5,X1)!=c_Nitpick_Opair__box_OPairBox(X3,X4,X6,X2))). 2.86/3.09 cnf(i_0_3652, plain, (X1=X2|c_Nitpick_Opair__box_OPairBox(X3,X4,X1,X5)!=c_Nitpick_Opair__box_OPairBox(X3,X4,X2,X6))). 2.86/3.09 cnf(i_0_2080, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Relation_Orefl__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3)))). 2.86/3.09 cnf(i_0_6378, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~class_Int_Onumber__ring(X1))). 2.86/3.09 cnf(i_0_2238, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3)))). 2.86/3.09 cnf(i_0_2362, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X1),X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Ogroup__add(X3))). 2.86/3.09 cnf(i_0_5174, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X1),X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Oab__group__add(X3))). 2.86/3.09 cnf(i_0_6086, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),X1)))). 2.86/3.09 cnf(i_0_7198, plain, (hBOOL(hAPP(hAPP(c_fimplies,X1),X2))|~hBOOL(X2))). 2.86/3.09 cnf(i_0_2547, plain, (hBOOL(hAPP(hAPP(c_fdisj,X1),X2))|~hBOOL(X2))). 2.86/3.09 cnf(i_0_4250, plain, (hBOOL(hAPP(hAPP(c_fdisj,X1),X2))|~hBOOL(X1))). 2.86/3.09 cnf(i_0_5399, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Oring__char__0(X1))). 2.86/3.09 cnf(i_0_3000, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_fequal,X2))))). 2.86/3.09 cnf(i_0_1115, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.86/3.09 cnf(i_0_1624, plain, (c_Divides_Odiv__class_Omod(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_39, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OlessThan(X3),X1)!=hAPP(c_SetInterval_Oord__class_OlessThan(X3),X2)|~class_Orderings_Olinorder(X3))). 2.86/3.09 cnf(i_0_1878, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OatMost(X3),X1)!=hAPP(c_SetInterval_Oord__class_OatMost(X3),X2)|~class_Orderings_Olinorder(X3))). 2.86/3.09 cnf(i_0_642, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OgreaterThan(X3),X1)!=hAPP(c_SetInterval_Oord__class_OgreaterThan(X3),X2)|~class_Orderings_Olinorder(X3))). 2.86/3.09 cnf(i_0_6544, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OatLeast(X3),X1)!=hAPP(c_SetInterval_Oord__class_OatLeast(X3),X2)|~class_Orderings_Olinorder(X3))). 2.86/3.09 cnf(i_0_1861, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Omap(X2,X3),X4),X1)!=c_List_Olist_ONil(X3))). 2.86/3.09 cnf(i_0_4184, plain, (c_Option_Ooption_ONone(X1)=X2|hAPP(hAPP(c_Option_Omap(X1,X3),X4),X2)!=c_Option_Ooption_ONone(X3))). 2.86/3.09 cnf(i_0_2121, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))). 2.86/3.09 cnf(i_0_6484, plain, (c_List_Olist_ONil(X1)=X2|hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4)!=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_1380, plain, (c_List_OtakeWhile(X1,X2,X3)=X3|~hBOOL(hAPP(X2,esk80_3(X3,X2,X1))))). 2.86/3.09 cnf(i_0_4180, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__idom(X1))). 2.86/3.09 cnf(i_0_1545, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),c_List_Olist_ONil(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Omonoid__add(X1))). 2.86/3.09 cnf(i_0_2316, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.86/3.09 cnf(i_0_2794, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2795, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=X1|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2645, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))). 2.86/3.09 cnf(i_0_5910, plain, (c_Wellfounded_Owf(X1,c_Wellfounded_Omlex__prod(X1,X2,X3))|~c_Wellfounded_Owf(X1,X3))). 2.86/3.09 cnf(i_0_50, plain, (c_Wellfounded_OwfP(X1,c_FunDef_Oin__rel(X1,X1,X2))|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_1495, plain, (c_Nat__Transfer_Onat__set(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk88_1(X1))))). 2.86/3.09 cnf(i_0_2381, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_2729, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_3103, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=X1|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_2677, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(X2,X3,X1))))). 2.86/3.09 cnf(i_0_6539, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_5319, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X3),X2))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_5320, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_481, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(X2,X3,X1))))). 2.86/3.09 cnf(i_0_482, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(X2,X1,X3))))). 2.86/3.09 cnf(i_0_4468, plain, (c_Wellfounded_Owf(tc_List_Olist(X1),c_List_Olex(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_6603, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|esk447_4(X4,X3,X2,X1)!=esk448_4(X4,X3,X2,X1))). 2.86/3.09 cnf(i_0_6191, plain, (X1=X2|hAPP(X1,esk418_2(X2,X1))!=hAPP(X2,esk418_2(X2,X1)))). 2.86/3.09 cnf(i_0_3392, plain, (X1=X2|hAPP(c_Sum__Type_OInl(X3,X4),X1)!=hAPP(c_Sum__Type_OInl(X3,X4),X2))). 2.86/3.09 cnf(i_0_5182, plain, (c_Wellfounded_Owf(tc_List_Olist(X1),c_List_Olenlex(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_5307, plain, (hBOOL(hAPP(hAPP(c_fimplies,X1),X2))|hBOOL(X1))). 2.86/3.09 cnf(i_0_6341, plain, (c_Fun_Oinj__on(X1,X1,c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Groups_Oordered__ab__group__add(X1))). 2.86/3.09 cnf(i_0_2301, plain, (c_List_Oupto(X1,X2)=c_List_Olist_ONil(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 2.86/3.09 cnf(i_0_2376, plain, (X1=X2|hAPP(c_Sum__Type_OInr(X3,X4),X1)!=hAPP(c_Sum__Type_OInr(X3,X4),X2))). 2.86/3.09 cnf(i_0_726, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.86/3.09 cnf(i_0_1598, plain, (c_Random_Olog(X1,X2)=c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X2),X1)))). 2.86/3.09 cnf(i_0_3408, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|~class_Int_Onumber__ring(X1))). 2.86/3.09 cnf(i_0_2453, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2)=X2|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_7055, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X2)))). 2.86/3.09 cnf(i_0_3055, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X2)=X2|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_6151, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)=X3|~class_Rings_Osemiring__1(X1))). 2.86/3.09 cnf(i_0_5552, plain, (X1=X2|hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X1)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X2)|~class_Nat_Osemiring__char__0(X3))). 2.86/3.09 cnf(i_0_94, plain, (X1=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(X3),X2)|~class_Groups_Ogroup__add(X3))). 2.86/3.09 cnf(i_0_5902, plain, (X1=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(X3),X2)|~class_Lattices_Oboolean__algebra(X3))). 2.86/3.09 cnf(i_0_6523, plain, (X1=X2|hAPP(c_Int_Oring__1__class_Oof__int(X3),X1)!=hAPP(c_Int_Oring__1__class_Oof__int(X3),X2)|~class_Int_Oring__char__0(X3))). 2.86/3.09 cnf(i_0_2482, hypothesis, (v_R(X1,X2)|~v_Q(X1,X3)|~c_Natural_Oevaln(v_d,X3,v_n,X2))). 2.86/3.09 cnf(i_0_998, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_3253, hypothesis, (c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)))). 2.86/3.09 cnf(i_0_1586, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)!=X3|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2))). 2.86/3.09 cnf(i_0_5523, plain, (c_Nat__Transfer_Ois__nat(X1)|~c_Nat__Transfer_Onat__set(X2)|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_2966, plain, (epred1_3(X1,X2,X3)|~hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3))))). 2.86/3.09 cnf(i_0_4916, hypothesis, (v_Q(X1,X2)|~v_P(X1,X3)|~c_Natural_Oevaln(v_c,X3,v_n,X2))). 2.86/3.09 cnf(i_0_414, plain, (~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.86/3.09 cnf(i_0_454, plain, (~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.86/3.09 cnf(i_0_2499, plain, (c_Option_Ooption_ONone(X1)!=hAPP(X2,X3)|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_Map_Odom(X4,X1,X2))))). 2.86/3.09 cnf(i_0_3939, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Oacyclic(X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2)))). 2.86/3.09 cnf(i_0_6153, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(c_Int_OAbs__Integ,esk413_2(X2,X1)))))). 2.86/3.09 cnf(i_0_5647, plain, (X1=X2|c_Sum__Type_Osum_Osum__case(X3,X4,X5,X6,X1)!=c_Sum__Type_Osum_Osum__case(X3,X4,X5,X7,X2))). 2.86/3.09 cnf(i_0_5648, plain, (X1=X2|c_Sum__Type_Osum_Osum__case(X3,X4,X5,X1,X6)!=c_Sum__Type_Osum_Osum__case(X3,X4,X5,X2,X7))). 2.86/3.09 cnf(i_0_7376, plain, (c_Nitpick_Ocard_H(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_3328, plain, (c_Divides_Odiv__class_Omod(X1,X2,c_Groups_Oone__class_Oone(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_417, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_4349, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_4627, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_879, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_2179, plain, (hBOOL(hAPP(c_Com_OWT,X1))|hAPP(c_Com_Obody,X2)!=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)|~c_Com_OWT__bodies)). 2.86/3.09 cnf(i_0_1471, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,esk85_3(X3,X2,X1),esk86_3(X3,X2,X1)))). 2.86/3.09 cnf(i_0_6215, plain, (X1=c_Orderings_Obot__class_Obot(X2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X2),X1),X3)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice__bot(X2))). 2.86/3.09 cnf(i_0_3724, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Olinordered__ab__group__add(X2))). 2.86/3.09 cnf(i_0_2158, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(X1,X2)))|~hBOOL(hAPP(c_Com_OWT,X2)))). 2.86/3.09 cnf(i_0_1071, plain, (hBOOL(hAPP(hAPP(c_fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))). 2.86/3.09 cnf(i_0_3983, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Osgn__class_Osgn(X1,X2))=c_Groups_Osgn__class_Osgn(X1,X2)|~class_Rings_Olinordered__idom(X1))). 2.86/3.09 cnf(i_0_6214, plain, (c_Orderings_Obot__class_Obot(X1)=X2|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X2)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice__bot(X1))). 2.86/3.09 cnf(i_0_1313, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.86/3.09 cnf(i_0_1281, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(X3,X4,X1),X5),X2)))). 2.86/3.09 cnf(i_0_5055, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Typedef_Otype__definition(X4,X5,X3,X6,X7))). 2.86/3.09 cnf(i_0_1765, plain, (hAPP(c_Int_Onat,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_1599, plain, (c_Random_Olog(X1,X2)=c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),X1),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))). 2.86/3.09 cnf(i_0_5810, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Olinorder__class_Osorted__list__of__set(X1,X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_1970, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Oremove1(X1,X2,X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_4673, plain, (c_List_Olinorder__class_Osorted(X1,c_List_OtakeWhile(X1,X2,X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_3563, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3))). 2.86/3.09 cnf(i_0_2914, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.86/3.09 cnf(i_0_6046, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)))). 2.86/3.09 cnf(i_0_4440, plain, (c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_3889, plain, (c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2))|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_6071, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))|~class_Int_Onumber__ring(X1))). 2.86/3.09 cnf(i_0_5639, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=X3|~hBOOL(hAPP(X2,esk385_3(X3,X2,X1))))). 2.86/3.09 cnf(i_0_6114, plain, (c_Nitpick_Owf_H(X1,X2)|~c_Wellfounded_Oacyclic(X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2)))). 2.86/3.09 cnf(i_0_6388, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),X1,X5,X2))). 2.86/3.09 cnf(i_0_434, plain, (hBOOL(hAPP(hAPP(X1,X2),X2))|~c_Equiv__Relations_Oequivp(X3,X1))). 2.86/3.09 cnf(i_0_5007, plain, (hBOOL(hAPP(hAPP(X1,X2),X2))|~c_Predicate_Oreflp(X3,X1))). 2.86/3.09 cnf(i_0_165, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Osemilattice__inf(X1))). 2.86/3.09 cnf(i_0_5960, plain, (hAPP(c_Option_Ooption_OSome(X1),esk402_2(X1,X2))=X2|X2=c_Option_Ooption_ONone(X1))). 2.86/3.09 cnf(i_0_3342, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~c_Wellfounded_OwfP(X1,X2))). 2.86/3.09 cnf(i_0_1667, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X4),X3)))). 2.86/3.09 cnf(i_0_4850, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X2)=X2|~class_Lattices_Olattice(X1))). 2.86/3.09 cnf(i_0_2266, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)=X2|~class_Lattices_Oab__semigroup__idem__mult(X1))). 2.86/3.09 cnf(i_0_1835, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Olattice(X1))). 2.86/3.09 cnf(i_0_3098, plain, (hAPP(c_Option_Ooption_OSome(X1),esk179_2(X1,X2))=X2|c_Option_Ooption_ONone(X1)=X2)). 2.86/3.09 cnf(i_0_918, plain, (hBOOL(hAPP(c_Predicate_OPowp(X1,X2),X3))|~hBOOL(hAPP(X2,esk47_3(X3,X2,X1))))). 2.86/3.09 cnf(i_0_735, plain, (X1=X2|hAPP(c_Int_Onumber__class_Onumber__of(X3),X1)!=hAPP(c_Int_Onumber__class_Onumber__of(X3),X2)|~class_Int_Oring__char__0(X3)|~class_Int_Onumber__ring(X3))). 2.86/3.09 cnf(i_0_4049, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Ocomm__semiring__1(X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),c_Groups_Ozero__class_Ozero(X2)),X1)))). 2.86/3.09 cnf(i_0_1607, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X2)=X2|~class_Lattices_Osemilattice__sup(X1))). 2.86/3.09 cnf(i_0_288, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1)). 2.86/3.09 cnf(i_0_6979, plain, (c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(X1),esk469_2(X2,X1)),c_Wellfounded_Oacc(X1,X2))))). 2.86/3.09 cnf(i_0_3948, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X3),X2)))). 2.86/3.09 cnf(i_0_4064, plain, (X1=X2|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X3,X4,X5,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))),X2)))). 2.86/3.09 cnf(i_0_2174, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.86/3.09 cnf(i_0_4078, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))). 2.86/3.09 cnf(i_0_3347, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Orderings_Otop__class_Otop(X2)!=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),X3),X1)|~class_Lattices_Obounded__lattice__top(X2))). 2.86/3.09 cnf(i_0_3348, plain, (c_Orderings_Otop__class_Otop(X1)=X2|c_Orderings_Otop__class_Otop(X1)!=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)|~class_Lattices_Obounded__lattice__top(X1))). 2.86/3.09 cnf(i_0_3189, plain, (c_Wellfounded_Owf(X1,X2)|hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4240, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(c_List_Otl(X1),X2))|~c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_5069, plain, (hAPP(hAPP(X1,X2),X2)=X2|~c_Finite__Set_Ofolding__one__idem(X3,X1,X4))). 2.86/3.09 cnf(i_0_4685, plain, (c_Option_Ooption_ONone(X1)=hAPP(X2,X3)|hAPP(c_Map_Omap__add(X4,X1,X2,X5),X3)!=c_Option_Ooption_ONone(X1))). 2.86/3.09 cnf(i_0_999, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.86/3.09 cnf(i_0_4686, plain, (hAPP(X1,X2)=c_Option_Ooption_ONone(X3)|hAPP(c_Map_Omap__add(X4,X3,X5,X1),X2)!=c_Option_Ooption_ONone(X3))). 2.86/3.09 cnf(i_0_4292, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orev(X1),X2))))). 2.86/3.09 cnf(i_0_4171, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orotate1(X1),X2))))). 2.86/3.09 cnf(i_0_3579, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2),X6)))). 2.86/3.09 cnf(i_0_4387, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4566, plain, (c_Complete__Lattice_OInf__class_OInf(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.86/3.09 cnf(i_0_2555, plain, (c_Complete__Lattice_OSup__class_OSup(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.86/3.09 cnf(i_0_6308, plain, (c_List_Olinorder__class_Osorted__list__of__set(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_List_Olist_ONil(X1)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_6352, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.86/3.09 cnf(i_0_1117, plain, (c_Complete__Lattice_OInf__class_OInf(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.86/3.09 cnf(i_0_2486, plain, (c_Complete__Lattice_OSup__class_OSup(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.86/3.09 cnf(i_0_208, plain, (c_Power_Opower_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1))=c_Power_Opower__class_Opower(X1)|~class_Power_Opower(X1))). 2.86/3.09 cnf(i_0_1128, plain, (hAPP(c_Nat_OSuc,esk62_1(X1))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.86/3.09 cnf(i_0_638, plain, (X1=hAPP(X2,X3)|hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X4,X5),X2),X3),X1)!=X2)). 2.86/3.09 cnf(i_0_5600, plain, (c_Wellfounded_Oacyclic(X1,hAPP(c_Relation_Oconverse(X1,X1),X2))|~c_Wellfounded_Oacyclic(X1,X2))). 2.86/3.09 cnf(i_0_6254, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.86/3.09 cnf(i_0_4632, plain, (hAPP(c_Nat_OSuc,esk307_1(X1))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.86/3.09 cnf(i_0_3215, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Set_Oinsert(X1),X5),X4)))). 2.86/3.09 cnf(i_0_6590, plain, (X1=X2|hAPP(hAPP(c_List_Oappend(X3),X4),X1)!=hAPP(hAPP(c_List_Oappend(X3),X4),X2))). 2.86/3.09 cnf(i_0_4635, plain, (X1=X2|hAPP(hAPP(c_List_Oappend(X3),X1),X4)!=hAPP(hAPP(c_List_Oappend(X3),X2),X4))). 2.86/3.09 cnf(i_0_3829, plain, (X1=X2|hAPP(hAPP(c_List_Olist_OCons(X3),X4),X1)!=hAPP(hAPP(c_List_Olist_OCons(X3),X5),X2))). 2.86/3.09 cnf(i_0_1764, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_536, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_3828, plain, (X1=X2|hAPP(hAPP(c_List_Olist_OCons(X3),X1),X4)!=hAPP(hAPP(c_List_Olist_OCons(X3),X2),X5))). 2.86/3.09 cnf(i_0_5940, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),esk400_1(X1)))))). 2.86/3.09 cnf(i_0_193, plain, (~class_Rings_Olinordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.86/3.09 cnf(i_0_236, plain, (c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omin__ext(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_3675, plain, (c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omax__ext(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_315, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X1,X6),X2,X3,X4)|~hBOOL(hAPP(X5,X2)))). 2.86/3.09 cnf(i_0_2920, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X2))|~class_Orderings_Opreorder(X1))). 2.86/3.09 cnf(i_0_7003, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X2))|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_5920, plain, (c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_6073, plain, (~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Groups_Oabs__class_Oabs(X1),c_Groups_Ozero__class_Ozero(X1)))))). 2.86/3.09 cnf(i_0_5276, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X3),X2))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_2942, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X5,hAPP(c_Fun_Ocomp(X2,X5,X1,X6),X3),X4))). 2.86/3.09 cnf(i_0_2392, plain, (hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X2,X1)))|~hBOOL(hAPP(X1,X3)))). 2.86/3.09 cnf(i_0_5472, plain, (hBOOL(hAPP(X1,esk376_2(X2,X1)))|~hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X2,X1))))). 2.86/3.09 cnf(i_0_4470, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_753, plain, (hAPP(c_Finite__Set_Ocard(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_1504, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1)|~class_Rings_Ozero__neq__one(X1)|~class_Rings_Ono__zero__divisors(X1)|~class_Power_Opower(X1))). 2.86/3.09 cnf(i_0_2, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hAPP(c_Set_Oimage(X1,X3,X4),X2)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5489, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X3)=c_Orderings_Obot__class_Obot(X2)|~class_Orderings_Obot(X2))). 2.86/3.09 cnf(i_0_3272, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,X2)),X3)=c_Orderings_Otop__class_Otop(X2)|~class_Orderings_Otop(X2))). 2.86/3.09 cnf(i_0_685, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_7431, plain, (epred1_3(X1,X2,X3)|~hBOOL(hAPP(X1,esk499_3(X3,X2,X1)))|~hBOOL(hAPP(X1,esk501_3(X3,X2,X1))))). 2.86/3.09 cnf(i_0_1153, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))=c_Fun_Oid(X3)|~c_Finite__Set_Ofolding(X2,X3,X4,X1))). 2.86/3.09 cnf(i_0_2153, plain, (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(X2,X1,X3))))). 2.86/3.09 cnf(i_0_6085, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))). 2.86/3.09 cnf(i_0_6025, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))). 2.86/3.09 cnf(i_0_2054, plain, (c_Random_Oinc__shift(X1,X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),X2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))|X1=X2)). 2.86/3.09 cnf(i_0_613, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))). 2.86/3.09 cnf(i_0_3915, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(X1,X2,X3)))|~hBOOL(hAPP(c_Com_OWT,X3)))). 2.86/3.09 cnf(i_0_1186, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_2617, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_List_Olist_ONil(X3)|hAPP(hAPP(c_List_Otake(X3),X1),X2)!=c_List_Olist_ONil(X3))). 2.86/3.09 cnf(i_0_5277, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))). 2.86/3.09 cnf(i_0_1501, plain, (X1=X2|hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3,tc_HOL_Obool)),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3,tc_HOL_Obool)),X2))). 2.86/3.09 cnf(i_0_912, plain, (X1=X2|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X3,X4),X2))|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X3,X4),X1)))). 2.86/3.09 cnf(i_0_2067, plain, (X1=hAPP(c_Option_Ooption_OSome(X2),X3)|~hBOOL(hAPP(hAPP(c_member(X2),X3),c_Option_Oset(X2,X1))))). 2.86/3.09 cnf(i_0_6203, plain, (c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2))|~c_Nat__Transfer_Ois__nat(X2)|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_252, plain, (c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))|~c_Nat__Transfer_Ois__nat(X2)|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_340, plain, (c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2))|~c_Nat__Transfer_Ois__nat(X2)|~c_Nat__Transfer_Ois__nat(X1))). 2.86/3.09 cnf(i_0_895, plain, (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_70, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)))). 2.86/3.09 cnf(i_0_1337, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)))). 2.86/3.09 cnf(i_0_951, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)))). 2.86/3.09 cnf(i_0_5487, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_1187, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|~class_Groups_Omonoid__mult(X1))). 2.86/3.09 cnf(i_0_2715, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=X2|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_5788, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_5661, plain, (c_Nat__Transfer_Otsub(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X1)))). 2.86/3.09 cnf(i_0_293, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))=X3|~c_Finite__Set_Ofolding__image__simple(X4,X2,X5,X3,X6,X1))). 2.86/3.09 cnf(i_0_4089, plain, (c_Natural_Oevaln(X1,X2,hAPP(c_Nat_OSuc,X3),X4)|~c_Natural_Oevaln(X1,X2,X3,X4))). 2.86/3.09 cnf(i_0_6759, plain, (c_Quickcheck_Obeyond(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X1),X2)))). 2.86/3.09 cnf(i_0_3726, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_1679, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Omonoid__add(X1))). 2.86/3.09 cnf(i_0_4131, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Odivision__ring(X1))). 2.86/3.09 cnf(i_0_5557, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=X2|~class_Lattices_Oboolean__algebra(X1))). 2.86/3.09 cnf(i_0_6372, plain, (c_List_Oupto(X1,X2)=c_List_Olist_ONil(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_7116, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|c_Divides_Odiv__class_Omod(X1,X3,X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_972, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk48_3(X3,X2,X1))))). 2.86/3.09 cnf(i_0_1509, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ocomm__monoid__add(X1))). 2.86/3.09 cnf(i_0_4480, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1))=X2|~class_Lattices_Obounded__lattice__top(X1))). 2.86/3.09 cnf(i_0_1064, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1))=X2|~class_Lattices_Obounded__lattice__bot(X1))). 2.86/3.09 cnf(i_0_4347, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_3504, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk219_3(X3,X2,X1))))). 2.86/3.09 cnf(i_0_1280, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(X4,X1,X5),X2),X3)))). 2.86/3.09 cnf(i_0_1683, plain, (hAPP(X1,hAPP(X2,X3))=X3|~c_Typedef_Otype__definition(X4,X5,X2,X1,X6))). 2.86/3.09 cnf(i_0_6237, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Ocomm__monoid__mult(X1))). 2.86/3.09 cnf(i_0_561, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Omonoid__mult(X1))). 2.86/3.09 cnf(i_0_1443, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_3929, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Groups_Omonoid__add(X1))). 2.86/3.09 cnf(i_0_55, plain, (c_SMT_Oz3mod(X1,X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.86/3.09 cnf(i_0_4255, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X1),X2)))). 2.86/3.09 cnf(i_0_3138, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X1),X4),X2)))). 2.86/3.09 cnf(i_0_4163, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2)=X2|~class_Lattices_Obounded__lattice__bot(X1))). 2.86/3.09 cnf(i_0_871, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_2366, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Ocomm__monoid__mult(X1))). 2.86/3.09 cnf(i_0_4204, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Omonoid__mult(X1))). 2.86/3.09 cnf(i_0_1531, plain, (c_Wellfounded_OwfP(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2)))). 2.86/3.09 cnf(i_0_2124, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hAPP(c_Finite__Set_Ocard(X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_3576, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=X1|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X3),X1)!=c_Groups_Oone__class_Oone(X2)|~class_Rings_Odivision__ring(X2))). 2.86/3.09 cnf(i_0_6673, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Groups_Ocomm__monoid__add(X1))). 2.86/3.09 cnf(i_0_1416, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_3765, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2)=X2|~class_Lattices_Obounded__lattice__top(X1))). 2.86/3.09 cnf(i_0_5712, plain, (hAPP(X1,X2)=hAPP(X1,X3)|~c_Equiv__Relations_Oequivp(X4,X1)|~hBOOL(hAPP(hAPP(X1,X2),X3)))). 2.86/3.09 cnf(i_0_3023, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk172_2(X1,X2)),X2)))). 2.86/3.09 cnf(i_0_3616, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk236_2(X1,X2)),X2)))). 2.86/3.09 cnf(i_0_5065, plain, (X1=X2|hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)!=hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X1))). 2.86/3.09 cnf(i_0_5352, plain, (hAPP(c_Finite__Set_Ocard(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_6752, plain, (X1=X2|hAPP(hAPP(c_Product__Type_OPair(X3,X4),X1),X5)!=hAPP(hAPP(c_Product__Type_OPair(X3,X4),X2),X6))). 2.86/3.09 cnf(i_0_1899, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Fun_Oinj__on(X4,X5,X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_7117, plain, (c_Divides_Odiv__class_Omod(X1,X2,X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))). 2.86/3.09 cnf(i_0_451, plain, (c_List_Olist_ONil(X1)=X2|c_List_Olinorder__class_Osorted(X1,c_List_Obutlast(X1,X2))|~c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_7427, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk498_1(X1))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_4210, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Power_Opower(X1))). 2.86/3.09 cnf(i_0_6729, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))=X1|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.86/3.09 cnf(i_0_1241, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|hAPP(c_Finite__Set_Ocard(X1),hAPP(c_List_Oset(X1),X2))!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))). 2.86/3.09 cnf(i_0_1677, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))))). 2.86/3.09 cnf(i_0_218, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2))))). 2.86/3.09 cnf(i_0_1520, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Oappend(X1),X3),X2))))). 2.86/3.09 cnf(i_0_136, plain, (c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1))=c_List_Omonoid__add__class_Olistsum(X1)|~class_Groups_Omonoid__add(X1))). 2.86/3.09 cnf(i_0_22, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)!=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))). 2.86/3.09 cnf(i_0_23, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))). 2.86/3.09 cnf(i_0_3235, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_1521, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))))). 2.86/3.09 cnf(i_0_217, plain, (~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.86/3.09 cnf(i_0_3291, plain, (~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X2,X1)),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1)),X4),X3)))). 2.86/3.09 cnf(i_0_907, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X2))|~class_Orderings_Oorder(X1))). 2.86/3.09 cnf(i_0_2426, plain, (c_Option_Ooption_ONone(tc_Com_Ocom)=hAPP(c_Com_Obody,X1)|hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))))). 2.86/3.09 cnf(i_0_5173, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1))). 2.86/3.09 cnf(i_0_283, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk19_2(X2,X1))))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_5168, plain, (X1=X2|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X4),X1),X3),X2)))). 2.86/3.09 cnf(i_0_3309, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),X1),X2)))). 2.86/3.09 cnf(i_0_4924, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X2)|~class_Groups_Ocancel__ab__semigroup__add(X3))). 2.86/3.09 cnf(i_0_1226, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X2)|~class_Groups_Ocancel__semigroup__add(X3))). 2.86/3.09 cnf(i_0_1585, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1))). 2.86/3.09 cnf(i_0_774, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_3753, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_2845, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X1),X4)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X2),X4)|~class_Groups_Ocancel__semigroup__add(X3))). 2.86/3.09 cnf(i_0_5954, plain, (X1=X2|c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X3))!=hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),X2),X4))). 2.86/3.09 cnf(i_0_1549, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_213, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_2081, plain, (c_Relation_Orefl__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3))|~c_Relation_Orefl__on(X1,X2,X3))). 2.86/3.09 cnf(i_0_2239, plain, (c_Relation_Ototal__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3))|~c_Relation_Ototal__on(X1,X2,X3))). 2.86/3.09 cnf(i_0_440, plain, (~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.86/3.09 cnf(i_0_1984, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_5776, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Rings_Odivision__ring(X1))). 2.86/3.09 cnf(i_0_1318, plain, (hAPP(hAPP(X1,X2),X2)=X2|~c_Finite__Set_Ofolding__image__simple__idem(X3,X4,X1,X5,X6,X7))). 2.86/3.09 cnf(i_0_1732, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_6012, plain, (c_Wellfounded_Owf(tc_List_Olist(X1),hAPP(c_List_Olexn(X1,X2),X3))|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_1433, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=X1|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=X2)). 2.86/3.09 cnf(i_0_3085, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Rings_Odivision__ring__inverse__zero(X1))). 2.86/3.09 cnf(i_0_1798, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OPow(X1),X2))))). 2.86/3.09 cnf(i_0_5103, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(X3,X1)),c_Sum__Type_OPlus(X3,X1,X4,X2))))). 2.86/3.09 cnf(i_0_7428, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(X1,X3)),c_Sum__Type_OPlus(X1,X3,X2,X4))))). 2.86/3.09 cnf(i_0_1496, plain, (c_Nat__Transfer_Onat__set(X1)|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk88_1(X1)),X1)))). 2.86/3.09 cnf(i_0_1859, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Orderings_Otop__class_Otop(X1)))|~class_Orderings_Otop(X1))). 2.86/3.09 cnf(i_0_4738, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_6079, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.86/3.09 cnf(i_0_2842, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_668, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X5),X4)))). 2.86/3.09 cnf(i_0_667, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_4260, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)!=X2|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_5324, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Orderings_Obot__class_Obot(X1)),X2))|~class_Orderings_Obot(X1))). 2.86/3.09 cnf(i_0_611, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),c_Groups_Oone__class_Oone(X1)),X2))|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_699, plain, (c_List_Oembed__list(hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),X1))=X1|~c_List_Onat__list(X1))). 2.86/3.09 cnf(i_0_5832, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_4864, plain, (c_Nitpick_Onat__gcd(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1))=c_Nitpick_Onat__gcd(X2,X1)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1)). 2.86/3.09 cnf(i_0_3912, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)!=X3|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_2343, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))|hAPP(c_Relation_ORange(X2,X3),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_5795, plain, (c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))=X3|hAPP(c_Relation_ODomain(X1,X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_3723, plain, (hBOOL(hAPP(X1,esk252_1(X1)))|~hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.86/3.09 cnf(i_0_300, plain, (hAPP(c_Int_ORep__Integ,esk21_1(X1))=X1|~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),c_Int_OInteg)))). 2.86/3.09 cnf(i_0_4358, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5136, plain, (hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.86/3.09 cnf(i_0_6202, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice__top(X1))). 2.86/3.09 cnf(i_0_363, plain, (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_3911, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.86/3.09 cnf(i_0_6660, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OgreaterThan(X4,X1,X2))))). 2.86/3.09 cnf(i_0_4782, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OatLeast(X4,X1,X2))))). 2.86/3.09 cnf(i_0_17, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OlessThan(X4,X1,X3))))). 2.86/3.09 cnf(i_0_4338, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)|hBOOL(hAPP(X1,X3)))). 2.86/3.09 cnf(i_0_4100, plain, (hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.86/3.09 cnf(i_0_982, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice__bot(X1))). 2.86/3.09 cnf(i_0_6874, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OatMost(X4,X1,X3))))). 2.86/3.09 cnf(i_0_12, plain, (hAPP(c_Nat_OSuc,X1)!=hAPP(c_Finite__Set_Ocard(X2),X3)|~hBOOL(hAPP(hAPP(c_member(X2),esk1_3(X1,X3,X2)),esk2_3(X1,X3,X2))))). 2.86/3.09 cnf(i_0_1034, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X3)),X2)))). 2.86/3.09 cnf(i_0_3945, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.86/3.09 cnf(i_0_5206, plain, (~c_Relation_Oirrefl(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X3)),X2)))). 2.86/3.09 cnf(i_0_1503, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Omult__zero(X2)|~class_Rings_Ozero__neq__one(X2)|~class_Rings_Ono__zero__divisors(X2)|~class_Power_Opower(X2))). 2.86/3.09 cnf(i_0_6213, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_7388, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_4484, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(X1,X2)))|~hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,X2)))). 2.86/3.09 cnf(i_0_3394, plain, (hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk213_1(X1))=hAPP(c_Com_Obody,X1)|~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))))). 2.86/3.09 cnf(i_0_4669, plain, (hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk309_1(X1))=hAPP(c_Com_Obody,X1)|~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))))). 2.86/3.09 cnf(i_0_1455, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1))). 2.86/3.09 cnf(i_0_962, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_366, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1))). 2.86/3.09 cnf(i_0_6765, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice__bot(X1))). 2.86/3.09 cnf(i_0_1603, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__1(X1))). 2.86/3.09 cnf(i_0_3893, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))). 2.86/3.09 cnf(i_0_3436, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X1),c_Divides_Odivmod__int(X2,X1))))). 2.86/3.09 cnf(i_0_4417, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice__top(X1))). 2.86/3.09 cnf(i_0_5547, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1))). 2.86/3.09 cnf(i_0_530, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2)=c_Groups_Oone__class_Oone(X1)|~class_Groups_Omonoid__mult(X1))). 2.86/3.09 cnf(i_0_6174, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_4047, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.86/3.09 cnf(i_0_7268, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X3),hAPP(hAPP(c_List_Omap(X1,X3),X4),X2))))). 2.86/3.09 cnf(i_0_534, plain, (c_Nat__Transfer_Otsub(X1,X2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X1)))). 2.86/3.09 cnf(i_0_1061, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(X1,X2,X3)))|~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X2))))). 2.86/3.09 cnf(i_0_6397, plain, (hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),esk432_1(X1))))|~hBOOL(hAPP(X1,X2)))). 2.86/3.09 cnf(i_0_4962, plain, (hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,esk326_2(X2,X1))))). 2.86/3.09 cnf(i_0_5714, plain, (c_Equiv__Relations_Oequivp(X1,X2)|hAPP(X2,esk387_1(X2))!=hAPP(X2,esk388_1(X2))|~hBOOL(hAPP(hAPP(X2,esk387_1(X2)),esk388_1(X2))))). 2.86/3.09 cnf(i_0_3139, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.86/3.09 cnf(i_0_2205, plain, (c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 2.86/3.09 cnf(i_0_5809, plain, (hAPP(c_List_Oset(X1),c_List_Olinorder__class_Osorted__list__of__set(X1,X2))=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_4011, plain, (c_Groups_Osgn__class_Osgn(tc_Int_Oint,X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_3297, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.86/3.09 cnf(i_0_312, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|hBOOL(hAPP(X5,X2))|~c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4))). 2.86/3.09 cnf(i_0_4958, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.86/3.09 cnf(i_0_2282, plain, (c_List_Olist_ONil(X1)=X2|hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X3),c_List_Orotate1(X1)),X2)!=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_4077, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),c_List_OtakeWhile(X3,X1,X4)))))). 2.86/3.09 cnf(i_0_365, plain, (X1=X2|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,X4,hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))),X2)))). 2.86/3.09 cnf(i_0_4005, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)!=X3|~class_Lattices_Osemilattice__sup(X1))). 2.86/3.09 cnf(i_0_1951, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)!=X2|~class_Lattices_Osemilattice__inf(X1))). 2.86/3.09 cnf(i_0_1155, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|c_Groups_Ozero__class_Ozero(X1)=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ono__zero__divisors(X1))). 2.86/3.09 cnf(i_0_6580, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_3725, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Olinordered__ab__group__add(X1))). 2.86/3.09 cnf(i_0_101, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|c_Groups_Ozero__class_Ozero(X1)=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__no__zero__divisors(X1))). 2.86/3.09 cnf(i_0_5420, plain, (X1=X2|hAPP(hAPP(c_Set_Oinsert(X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))!=c_SetInterval_Oord__class_OatLeastAtMost(X3,X2,X1)|~class_Orderings_Oorder(X3))). 2.86/3.09 cnf(i_0_5421, plain, (X1=X2|hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))!=c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X2)|~class_Orderings_Oorder(X3))). 2.86/3.09 cnf(i_0_2603, plain, (hBOOL(hAPP(hAPP(c_member(X1),c_Groups_Ozero__class_Ozero(X1)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1))). 2.86/3.09 cnf(i_0_6588, plain, (hBOOL(hAPP(hAPP(c_member(X1),c_Groups_Ozero__class_Ozero(X1)),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Rings_Osemiring__1(X1))). 2.86/3.09 cnf(i_0_1310, plain, (hBOOL(hAPP(hAPP(c_member(X1),c_Groups_Oone__class_Oone(X1)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1))). 2.86/3.09 cnf(i_0_5204, plain, (hBOOL(hAPP(hAPP(c_member(X1),c_Groups_Oone__class_Oone(X1)),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Rings_Osemiring__1(X1))). 2.86/3.09 cnf(i_0_6326, plain, (c_List_Olast(X1,hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Ohd(X1),X2)|c_List_Olist_ONil(X1)=X2)). 2.86/3.09 cnf(i_0_908, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.86/3.09 cnf(i_0_770, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.86/3.09 cnf(i_0_4003, plain, (hAPP(c_List_Ohd(X1),X2)=hAPP(hAPP(c_List_Onth(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_4859, plain, (c_Finite__Set_Ofun__left__comm(X1,tc_List_Olist(X1),c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)))|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_2255, plain, (c_Fun_Oinj__on(tc_Nat_Onat,X1,c_Nat_Osemiring__1__class_Oof__nat(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))|~class_Nat_Osemiring__char__0(X1))). 2.86/3.09 cnf(i_0_3487, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1)))). 2.86/3.09 cnf(i_0_4134, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.86/3.09 cnf(i_0_683, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X1)))). 2.86/3.09 cnf(i_0_280, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3))|~c_Natural_Oevaln(X1,X2,X4,X3))). 2.86/3.09 cnf(i_0_4923, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X4,X1,X2,X5))))). 2.86/3.09 cnf(i_0_102, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__no__zero__divisors(X1))). 2.86/3.09 cnf(i_0_6818, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OgreaterThanLessThan(X4,X1,X2,X5))))). 2.86/3.09 cnf(i_0_4922, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X4,X1,X5,X3))))). 2.86/3.09 cnf(i_0_6817, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OgreaterThanLessThan(X4,X1,X5,X3))))). 2.86/3.09 cnf(i_0_5711, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|hAPP(X1,X3)!=hAPP(X1,X2)|~c_Equiv__Relations_Oequivp(X4,X1))). 2.86/3.09 cnf(i_0_103, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__no__zero__divisors(X1))). 2.86/3.09 cnf(i_0_5025, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_1348, plain, (c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_2989, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_2990, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_3420, plain, (hAPP(c_List_Orotate1(X1),X2)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_2566, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_4695, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))))). 2.86/3.09 cnf(i_0_314, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|c_Natural_Oevaln(X5,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4))). 2.86/3.09 cnf(i_0_5738, plain, (c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))=c_Smallcheck_Osmall_H(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.86/3.09 cnf(i_0_775, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Oone__class_Oone(X1)|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1))). 2.86/3.09 cnf(i_0_2896, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X4),X4)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X1),X2)|~class_Groups_Oab__group__add(X3))). 2.86/3.09 cnf(i_0_4086, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~hBOOL(hAPP(X1,X2)))). 2.86/3.09 cnf(i_0_5811, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olinorder__class_Osorted__list__of__set(X1,X2)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_362, plain, (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_4914, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_4080, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)))|~hBOOL(hAPP(X1,esk281_3(X3,X2,X1)))|~hBOOL(hAPP(X1,X2)))). 2.86/3.09 cnf(i_0_4904, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Sum__Type_OPlus(X3,X1,X4,X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X3,X1),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_4905, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Sum__Type_OPlus(X1,X3,X2,X4)!=c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X1,X3),tc_HOL_Obool)))). 2.86/3.09 cnf(i_0_472, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Odrop(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_7146, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.86/3.09 cnf(i_0_6562, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))!=X2)). 2.86/3.09 cnf(i_0_4291, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orev(X1),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.86/3.09 cnf(i_0_3040, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Otake(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_4113, plain, (c_Natural_Oevaln(X1,X2,esk282_3(X3,X2,X1),X3)|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3)))). 2.86/3.09 cnf(i_0_6837, plain, (c_Natural_Oevaln(X1,X2,esk458_3(X3,X2,X1),X3)|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3)))). 2.86/3.09 cnf(i_0_4513, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_3600, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Otl(X1),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.86/3.09 cnf(i_0_4172, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orotate1(X1),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.86/3.09 cnf(i_0_2431, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Oremove1(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.86/3.09 cnf(i_0_3018, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_OtakeWhile(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.86/3.09 cnf(i_0_276, plain, (c_SMT_Oz3div(X1,X2)=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.86/3.09 cnf(i_0_3017, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X1),X2))))). 2.86/3.09 cnf(i_0_1806, plain, (X1=X2|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),X1),X2)))). 2.86/3.09 cnf(i_0_3599, plain, (hAPP(c_List_Ohd(X1),hAPP(c_List_Orev(X1),X2))=c_List_Olast(X1,X2)|c_List_Olist_ONil(X1)=X2)). 2.86/3.09 cnf(i_0_967, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Osublist(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.86/3.09 cnf(i_0_4161, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))=hAPP(c_Set_Oimage(X2,X1,X3),X4)|~c_Typedef_Otype__definition(X1,X2,X5,X3,X4))). 2.86/3.09 cnf(i_0_3239, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~c_Wellfounded_Owf(X1,X3))). 2.86/3.09 cnf(i_0_53, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Oinv__image(X2,X1),X3),X4))|~c_Wellfounded_Owf(X2,X3))). 2.86/3.09 cnf(i_0_4286, plain, (c_FunDef_Oreduction__pair(X1,hAPP(hAPP(c_FunDef_Orp__inv__image(X2,X1),X3),X4))|~c_FunDef_Oreduction__pair(X2,X3))). 2.86/3.09 cnf(i_0_3167, plain, (X1=X2|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X1)))!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,X2))))). 2.86/3.09 cnf(i_0_1079, plain, (X1=X2|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X5),X1)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X7),X2))). 2.86/3.09 cnf(i_0_1080, plain, (X1=X2|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X5)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X2),X7))). 2.86/3.09 cnf(i_0_896, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))|hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2878, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1))). 2.86/3.09 cnf(i_0_627, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1))). 2.86/3.09 cnf(i_0_6165, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(X1,esk414_1(X1))))). 2.86/3.09 cnf(i_0_1078, plain, (X1=X2|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X1),X4),X5)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X2),X6),X7))). 2.86/3.09 cnf(i_0_1288, plain, (X1=X2|hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1)!=hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2))). 2.86/3.09 cnf(i_0_48, plain, (c_Divides_Odiv__class_Omod(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_6456, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)))). 2.86/3.09 cnf(i_0_4130, plain, (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4384, plain, (hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|esk294_2(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4359, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_2144, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))). 2.86/3.09 cnf(i_0_4371, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_6754, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)|~class_Rings_Oring__1(X1))). 2.86/3.09 cnf(i_0_5628, plain, (hBOOL(hAPP(c_Predicate_ODomainP(X1,X2,X3),X4))|~hBOOL(hAPP(hAPP(X3,X4),X5)))). 2.86/3.09 cnf(i_0_2836, plain, (hBOOL(hAPP(c_Predicate_ORangeP(X1,X2,X3),X4))|~hBOOL(hAPP(hAPP(X3,X5),X4)))). 2.86/3.09 cnf(i_0_631, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2))=hAPP(c_Groups_Oabs__class_Oabs(X1),X2)|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.86/3.09 cnf(i_0_1118, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),X2)|~class_Groups_Ocomm__monoid__add(X1))). 2.86/3.09 cnf(i_0_1029, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)|~class_Rings_Olinordered__idom(X1))). 2.86/3.09 cnf(i_0_1552, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))=X2|~class_Int_Onumber__ring(X1))). 2.86/3.09 cnf(i_0_5358, plain, (~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.86/3.09 cnf(i_0_2550, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X2)=X2|~class_Int_Onumber__ring(X1))). 2.86/3.09 cnf(i_0_6741, plain, (c_Nitpick_Osetsum_H(X1,X2,X3,X4)=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~class_Groups_Ocomm__monoid__add(X2))). 2.86/3.09 cnf(i_0_4430, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))). 2.86/3.09 cnf(i_0_3413, plain, (c_Com_OWT__bodies|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),esk215_0)))). 2.86/3.09 cnf(i_0_5378, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X4,X1,X5,X2,X6))))). 2.86/3.09 cnf(i_0_5732, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OgreaterThanAtMost(X4,X5,X1,X2,X6))))). 2.86/3.09 cnf(i_0_5379, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X4,X5,X1,X6,X3))))). 2.86/3.09 cnf(i_0_742, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(X1,X2,X3)))|~hBOOL(hAPP(c_Com_OWT,X3))|~hBOOL(hAPP(c_Com_OWT,X2)))). 2.86/3.09 cnf(i_0_4755, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3143, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_5731, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OgreaterThanAtMost(X4,X1,X5,X6,X3))))). 2.86/3.09 cnf(i_0_6314, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.86/3.09 cnf(i_0_6843, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2))))). 2.86/3.09 cnf(i_0_6844, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))))). 2.86/3.09 cnf(i_0_970, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_4875, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=hAPP(c_Groups_Oabs__class_Oabs(X1),X2)|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.86/3.09 cnf(i_0_2601, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X4)),X2)))). 2.86/3.09 cnf(i_0_2592, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X1,hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X4)),X2)))). 2.86/3.09 cnf(i_0_169, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~c_Fun_Oinj__on(X1,X3,X4,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2))))). 2.86/3.09 cnf(i_0_2133, plain, (X1=X2|hAPP(c_Product__Type_Ofst(X3,X4),X1)!=hAPP(c_Product__Type_Ofst(X3,X4),X2)|hAPP(c_Product__Type_Osnd(X3,X4),X1)!=hAPP(c_Product__Type_Osnd(X3,X4),X2))). 2.86/3.09 cnf(i_0_1994, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.86/3.09 cnf(i_0_27, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_4259, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.86/3.09 cnf(i_0_3613, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Power_Opower(X1)|~class_Rings_Osemiring__0(X1))). 2.86/3.09 cnf(i_0_5447, plain, (c_Equiv__Relations_Oequiv(tc_List_Olist(X1),c_List_Olists(X1,X2),c_List_Olistrel(X1,X3))|~c_Equiv__Relations_Oequiv(X1,X2,X3))). 2.86/3.09 cnf(i_0_5898, plain, (c_Relation_Orefl__on(tc_List_Olist(X1),c_List_Olists(X1,X2),c_List_Olistrel(X1,X3))|~c_Relation_Orefl__on(X1,X2,X3))). 2.86/3.09 cnf(i_0_4967, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))))). 2.86/3.09 cnf(i_0_4670, plain, (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))|hAPP(c_Com_Obody,X1)!=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2))). 2.86/3.09 cnf(i_0_678, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_4992, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=X3|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X1,X2),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X4),X3))))). 2.86/3.09 cnf(i_0_317, plain, (c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|~c_Natural_Oevaln(X2,X4,X5,X6)|~hBOOL(hAPP(X1,X4)))). 2.86/3.09 cnf(i_0_2964, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X1)))|~epred1_3(X2,X3,X1))). 2.86/3.09 cnf(i_0_5969, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))))). 2.86/3.09 cnf(i_0_7353, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2)))). 2.86/3.09 cnf(i_0_3243, plain, (c_Wellfounded_OwfP(X1,X2)|~c_Wellfounded_OwfP(X1,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X2),X3)))). 2.86/3.09 cnf(i_0_2060, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_6353, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X1,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_1230, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Olinorder__class_Oinsort__insert__key(X1,X1,c_COMBI(X1),X2,X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_980, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1))))). 2.86/3.09 cnf(i_0_2963, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)))|~epred1_3(X1,X2,X3)|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_1109, plain, (hAPP(c_Nat_OSuc,esk60_4(X1,X2,X3,X4))=X2|~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X4),X3,X2,X1))). 2.86/3.09 cnf(i_0_5214, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),c_Relation_OId__on(X3,X4))))). 2.86/3.09 cnf(i_0_13, plain, (hAPP(c_Finite__Set_Ocard(X1),esk2_3(X2,X3,X1))=X2|hAPP(c_Nat_OSuc,X2)!=hAPP(c_Finite__Set_Ocard(X1),X3))). 2.86/3.09 cnf(i_0_6767, plain, (c_Wellfounded_Owf(X1,hAPP(c_Relation_Oconverse(X1,X1),X2))|~c_Wellfounded_Oacyclic(X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2)))). 2.86/3.09 cnf(i_0_1794, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~class_Orderings_Olinorder(X3)|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X3,X4),X5),X2))))). 2.86/3.09 cnf(i_0_1795, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_List_Odistinct(X2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X2,X1,X3),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(c_List_Oset(X2),X5))))). 2.86/3.09 cnf(i_0_6324, plain, (X1=X2|c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X1)!=hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_5166, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))). 2.86/3.09 cnf(i_0_5524, plain, (c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2))|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1))). 2.86/3.09 cnf(i_0_160, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=c_List_Olist_ONil(X1)|hBOOL(hAPP(X2,esk10_3(X3,X2,X1))))). 2.86/3.09 cnf(i_0_6325, plain, (X1=X2|c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2,X1)!=hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_1797, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))). 2.86/3.09 cnf(i_0_5019, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)=X3|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_3172, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),X2)=X2|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.86/3.09 cnf(i_0_469, plain, (c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2))|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1))). 2.86/3.09 cnf(i_0_7270, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),X1))|~c_Nat__Transfer_Onat__set(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X1))))). 2.86/3.09 cnf(i_0_6379, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),X2)=X2|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.86/3.09 cnf(i_0_5191, plain, (c_Wellfounded_Owf(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))|~c_Wellfounded_Owf(X2,X4)|~c_Wellfounded_Owf(X1,X3))). 2.86/3.09 cnf(i_0_1653, plain, (c_List_Olistrelp(X1,X2,X3,X4)|~c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X5),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X4)))). 2.86/3.09 cnf(i_0_14, plain, (esk2_3(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hAPP(c_Finite__Set_Ocard(X2),X1)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_284, plain, (hBOOL(hAPP(X1,esk19_2(X2,X1)))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.86/3.09 cnf(i_0_5234, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk351_2(X1,X2))=X2|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_3448, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk217_2(X1,X2))=X2|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_1652, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|hAPP(c_Finite__Set_Ocard(X2),hAPP(c_Set_Oimage(X1,X2,X3),X4))!=hAPP(c_Finite__Set_Ocard(X1),X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.86/3.09 cnf(i_0_5286, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X2)=c_Big__Operators_Olattice__class_OSup__fin(X1,X2)|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_3429, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omax(X1)),X2)=c_Big__Operators_Olinorder__class_OMax(X1,X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_4551, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_934, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_4390, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)=c_Big__Operators_Olinorder__class_OMin(X1,X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_6512, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2)=c_Big__Operators_Olattice__class_OInf__fin(X1,X2)|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_4006, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)=X3|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.86/3.09 cnf(i_0_1952, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)=X2|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.86/3.09 cnf(i_0_1735, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)=X3|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_6113, plain, (c_Nitpick_Ounknown(tc_HOL_Obool)|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2))|~c_Nitpick_Owf_H(X1,X2))). 2.86/3.09 cnf(i_0_979, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)=X2|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_6737, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Relation_OField(X1),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2)))). 2.86/3.09 cnf(i_0_532, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk29_1(X1))))). 2.86/3.09 cnf(i_0_4756, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Equiv__Relations_Oequivp(X4,X1)|~hBOOL(hAPP(hAPP(X1,X3),X2)))). 2.86/3.09 cnf(i_0_159, plain, (hAPP(c_List_Ofilter(X1,X2),X3)!=c_List_Olist_ONil(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X2,X4)))). 2.86/3.09 cnf(i_0_1559, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X2,X1)),hAPP(c_Relation_Oconverse(X1,X2),X3))))). 2.86/3.09 cnf(i_0_5371, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(X1,X2,X5,X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X5),X3)))). 2.86/3.09 cnf(i_0_4744, plain, (c_Orderings_Oord_Omin(X1,hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(X1)))=c_Orderings_Oord__class_Omax(X1)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_1808, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_600, plain, (c_Orderings_Oord_Omax(X1,hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(X1)))=c_Orderings_Oord__class_Omin(X1)|~class_Orderings_Olinorder(X1))). 2.86/3.09 cnf(i_0_7348, plain, (~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_5728, plain, (c_Divides_OposDivAlg(X1,X2)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_7054, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X2))|~c_Wellfounded_Owf(X1,X2))). 2.86/3.09 cnf(i_0_3317, plain, (X1=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3)),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3)),X2))). 2.86/3.09 cnf(i_0_851, plain, (c_List_Olist_ONil(X1)=X2|hBOOL(hAPP(c_List_Odistinct(X1),c_List_Obutlast(X1,X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.86/3.09 cnf(i_0_2668, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofilter(X1,X2),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.86/3.09 cnf(i_0_2812, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk165_1(X1))))). 2.86/3.09 cnf(i_0_3111, plain, (X1=X2|hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X1)!=hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X2)|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1))). 2.86/3.09 cnf(i_0_917, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),X4))|~hBOOL(hAPP(c_Predicate_OPowp(X3,X1),X4)))). 2.86/3.09 cnf(i_0_357, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 2.86/3.09 cnf(i_0_5457, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_950, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))). 2.86/3.09 cnf(i_0_6316, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))). 2.86/3.09 cnf(i_0_7184, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))). 2.86/3.09 cnf(i_0_2651, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2))))). 2.86/3.09 cnf(i_0_3129, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3))))). 2.86/3.09 cnf(i_0_3012, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2))))). 2.86/3.09 cnf(i_0_2429, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_SetInterval_Oord__class_OatMost(X1),X3))))). 2.86/3.09 cnf(i_0_187, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))))). 2.86/3.09 cnf(i_0_4706, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2)))). 2.86/3.09 cnf(i_0_4081, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X1)))|~hBOOL(hAPP(X2,esk281_3(X1,X3,X2))))). 2.86/3.09 cnf(i_0_2910, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.86/3.09 cnf(i_0_2061, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)))). 2.86/3.09 cnf(i_0_6888, plain, (c_Predicate_Oreflp(X1,X2)|~c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2)))). 2.86/3.09 cnf(i_0_4714, plain, (c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))=c_List_Olist_ONil(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.86/3.09 cnf(i_0_4177, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)=hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omax(X1)),X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_599, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X2)=hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_2225, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,esk124_2(X1,X3))))). 2.86/3.09 cnf(i_0_4460, plain, (c_Big__Operators_Olattice__class_OSup__fin(X1,X2)=c_Complete__Lattice_OSup__class_OSup(X1,X2)|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_4443, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Big__Operators_Olattice__class_OInf__fin(X1,X2)=c_Complete__Lattice_OInf__class_OInf(X1,X2)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_4322, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_3581, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,esk231_2(X1,X3))))). 2.86/3.09 cnf(i_0_4918, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X4),X1))|~hBOOL(hAPP(X4,X2)))). 2.86/3.09 cnf(i_0_1985, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.86/3.09 cnf(i_0_4104, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Osgn__class_Osgn(X1,X2))=hAPP(c_Groups_Oabs__class_Oabs(X1),X2)|~class_Rings_Olinordered__idom(X1))). 2.86/3.09 cnf(i_0_730, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X2)))). 2.86/3.09 cnf(i_0_1596, plain, (hAPP(c_Map_Orestrict__map(X1,X2,X3,X4),X5)=hAPP(X3,X5)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 2.86/3.09 cnf(i_0_4301, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X4),X2)))). 2.86/3.09 cnf(i_0_2587, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_3090, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.86/3.09 cnf(i_0_677, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_2577, plain, (c_Divides_Odivmod__int(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4195, plain, (~class_Int_Oring__char__0(X1)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))))). 2.86/3.09 cnf(i_0_474, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))). 2.86/3.09 cnf(i_0_7380, plain, (~c_Fun_Oinj__on(X1,X2,X3,X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X2),hAPP(c_Set_Oimage(X1,X2,X3),X4))),hAPP(c_Finite__Set_Ocard(X1),X4))))). 2.86/3.09 cnf(i_0_2324, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Int_Oring__char__0(X2)|~hBOOL(hAPP(hAPP(c_member(X2),X1),c_Int_Oring__1__class_OInts(X2))))). 2.86/3.09 cnf(i_0_2534, plain, (c_Divides_Odivmod__int(X1,X2)=c_Divides_OposDivAlg(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.86/3.09 cnf(i_0_1592, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))!=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 2.86/3.09 cnf(i_0_476, plain, (c_Natural_Oevaln(X1,X2,X3,esk25_5(X4,X3,X2,X5,X1))|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X4))). 2.86/3.09 cnf(i_0_7107, plain, (c_Natural_Oevaln(X1,X2,X3,esk479_5(X4,X3,X2,X5,X1))|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X4))). 2.86/3.09 cnf(i_0_475, plain, (c_Natural_Oevaln(X1,esk25_5(X2,X3,X4,X1,X5),X3,X2)|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X5,X1),X4,X3,X2))). 2.86/3.09 cnf(i_0_7106, plain, (c_Natural_Oevaln(X1,esk479_5(X2,X3,X4,X1,X5),X3,X2)|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X5,X1),X4,X3,X2))). 2.86/3.09 cnf(i_0_1813, plain, (hAPP(c_Nat_OSuc,esk110_2(X1,X2))=X2|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,X1))))). 2.86/3.09 cnf(i_0_6634, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))). 2.86/3.09 cnf(i_0_4118, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.86/3.09 cnf(i_0_355, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__ring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))))). 2.86/3.09 cnf(i_0_269, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)))). 2.86/3.09 cnf(i_0_395, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)))). 2.86/3.09 cnf(i_0_6869, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_7071, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))). 2.86/3.09 cnf(i_0_6035, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))). 2.86/3.09 cnf(i_0_1081, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))). 2.86/3.09 cnf(i_0_2674, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__ring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)))). 2.86/3.09 cnf(i_0_5727, plain, (c_Divides_OposDivAlg(X1,X2)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.86/3.09 cnf(i_0_1466, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 2.86/3.09 cnf(i_0_6848, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))=c_List_Olast(X1,X3)|X3=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_3674, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 2.86/3.09 cnf(i_0_2333, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1))). 2.86/3.09 cnf(i_0_828, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_5880, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_517, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=c_List_Olast(X1,X3)|c_List_Olist_ONil(X1)=X3)). 2.86/3.09 cnf(i_0_1263, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X2)))). 2.86/3.09 cnf(i_0_4337, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X5,X4,X3)|~c_Natural_Oevaln(X2,X3,X4,X5))). 2.86/3.09 cnf(i_0_5244, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.86/3.09 cnf(i_0_6398, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk432_1(X1)))|~hBOOL(hAPP(X1,X2)))). 2.86/3.09 cnf(i_0_3177, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X3),X3))|hBOOL(hAPP(X1,X3)))). 2.86/3.09 cnf(i_0_2082, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk120_2(X2,X1))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_4829, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk316_2(X2,X1))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_2329, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)!=X3)). 2.86/3.09 cnf(i_0_1741, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=c_Groups_Ozero__class_Ozero(X1)|hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber(X1))). 2.86/3.09 cnf(i_0_1961, plain, (X1=X2|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)!=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_1046, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool)),X1),X3),X2)))). 2.86/3.09 cnf(i_0_7030, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X2),c_Int_OInteg))|~hBOOL(hAPP(X1,hAPP(c_Int_ORep__Integ,esk474_2(X1,X2)))))). 2.86/3.09 cnf(i_0_4959, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|c_Groups_Osgn__class_Osgn(X1,X2)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__idom(X1))). 2.86/3.09 cnf(i_0_6345, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1))). 2.86/3.09 cnf(i_0_1303, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X1,X5)),X2),X3))|~hBOOL(hAPP(X4,X2)))). 2.86/3.09 cnf(i_0_4947, plain, (c_List_Olist_ONil(X1)=X2|c_List_Otranspose(X1,X3)!=c_List_Olist_ONil(tc_List_Olist(X1))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),hAPP(c_List_Oset(tc_List_Olist(X1)),X3))))). 2.86/3.09 cnf(i_0_1757, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Rings_Osemiring__1(X1))). 2.86/3.09 cnf(i_0_5614, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Int_Oring__1__class_OInts(X1)))|~class_Int_Onumber__ring(X1))). 2.86/3.09 cnf(i_0_5330, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1))). 2.86/3.09 cnf(i_0_5909, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))))). 2.86/3.09 cnf(i_0_887, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),esk46_2(X3,X1)))|~hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,X2)))). 2.86/3.09 cnf(i_0_1409, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.86/3.09 cnf(i_0_4431, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))). 2.86/3.09 cnf(i_0_4428, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))). 2.86/3.09 cnf(i_0_1858, plain, (c_Relation_Osingle__valued(X1,X2,X3)|~c_Relation_Osingle__valued(X1,X2,X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)))). 2.86/3.09 cnf(i_0_1291, plain, (hAPP(hAPP(c_List_Onth(X1),X2),X3)=X4|hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)!=hAPP(hAPP(c_List_Odrop(X1),X3),X2))). 2.86/3.09 cnf(i_0_5588, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),hAPP(c_List_Oset(tc_Nat_Onat),X2))))). 2.86/3.09 cnf(i_0_129, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2))))). 2.86/3.09 cnf(i_0_2055, plain, (c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2))=X3|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X1,X2),X3)))). 2.86/3.09 cnf(i_0_1015, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|X2=c_Groups_Oone__class_Oone(tc_Int_Oint)|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X1,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3))))). 2.86/3.09 cnf(i_0_7250, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2))))). 2.86/3.09 cnf(i_0_1830, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))))). 2.86/3.09 cnf(i_0_6102, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2))))). 2.86/3.09 cnf(i_0_3879, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X1))))). 2.86/3.09 cnf(i_0_6903, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2))))). 2.86/3.09 cnf(i_0_4560, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2))))). 2.86/3.09 cnf(i_0_2972, plain, (c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|hBOOL(hAPP(X1,X4))|~c_Natural_Oevaln(X3,X4,X5,X6))). 2.86/3.09 cnf(i_0_889, plain, (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,hAPP(c_Nat_OSuc,X3),X4)|~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4))). 2.86/3.09 cnf(i_0_85, plain, (X1=X2|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X2)|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X3,tc_HOL_Obool),c_fequal),esk7_3(X3,X1,X2))))). 2.86/3.09 cnf(i_0_1093, plain, (X1=X2|hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))!=hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_5908, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.86/3.09 cnf(i_0_2703, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))))). 2.86/3.09 cnf(i_0_587, plain, (c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2))=c_Divides_Opdivmod(X1,X2)|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.86/3.09 cnf(i_0_2959, plain, (X1=X2|hAPP(c_Set_Oimage(X3,X4,X5),X1)!=hAPP(c_Set_Oimage(X3,X4,X5),X2)|~c_Fun_Oinj__on(X3,X4,X5,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))). 2.86/3.09 cnf(i_0_5629, plain, (hBOOL(hAPP(hAPP(X1,X2),esk384_2(X2,X1)))|~hBOOL(hAPP(c_Predicate_ODomainP(X3,X4,X1),X2)))). 2.86/3.09 cnf(i_0_2837, plain, (hBOOL(hAPP(hAPP(X1,esk166_2(X2,X1)),X2))|~hBOOL(hAPP(c_Predicate_ORangeP(X3,X4,X1),X2)))). 2.86/3.09 cnf(i_0_5594, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|c_Groups_Oone__class_Oone(tc_Int_Oint)=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_1654, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_List_Olistrelp(X4,X1,hAPP(hAPP(c_List_Olist_OCons(X4),X2),X5),hAPP(hAPP(c_List_Olist_OCons(X4),X3),X6)))). 2.86/3.09 cnf(i_0_3590, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X2,X3,X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5)))). 2.86/3.09 cnf(i_0_2338, plain, (X1=X2|hAPP(c_Set_Oimage(X3,X4,X5),X1)!=hAPP(c_Set_Oimage(X3,X4,X5),X2)|~c_Fun_Oinj__on(X3,X4,X5,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X1),X2)))). 2.86/3.09 cnf(i_0_6895, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk461_4(X1,X3,X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X5),X2),X4)))). 2.86/3.09 cnf(i_0_4691, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool)))))). 2.86/3.09 cnf(i_0_3464, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_4645, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_5597, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|c_Groups_Oone__class_Oone(tc_Int_Oint)=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_6896, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk461_4(X1,X3,X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X5),X2),X3)))). 2.86/3.09 cnf(i_0_5999, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(X2,esk407_3(X2,X3,X1))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.86/3.09 cnf(i_0_3468, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(X2,esk218_3(X2,X3,X1))!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.86/3.09 cnf(i_0_6396, plain, (hBOOL(hAPP(X1,esk433_1(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))))). 2.86/3.09 cnf(i_0_3135, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_6313, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.86/3.09 cnf(i_0_5596, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|c_Groups_Oone__class_Oone(tc_Int_Oint)=X1|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4181, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2))))). 2.86/3.09 cnf(i_0_6163, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.86/3.09 cnf(i_0_743, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),X1))))). 2.86/3.09 cnf(i_0_4336, plain, (c_Natural_Oevaln(X1,X2,X3,esk291_4(X3,X2,X1,X4))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X4,X1),X2,X3,X2)|~hBOOL(hAPP(X4,X2)))). 2.86/3.09 cnf(i_0_7178, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Relation_ORange(X2,X1),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X2,X1)),X3)))). 2.86/3.09 cnf(i_0_5595, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|c_Groups_Oone__class_Oone(tc_Int_Oint)=X1|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.86/3.09 cnf(i_0_4662, plain, (c_Nitpick_Orefl_H(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk308_2(X2,X1)),esk308_2(X2,X1))),X2)))). 2.86/3.09 cnf(i_0_1382, plain, (hBOOL(hAPP(X1,X2))|c_List_OtakeWhile(X3,X1,X4)!=X4|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 2.86/3.09 cnf(i_0_4354, plain, (c_List_Olinorder__class_Oinsort__insert__key(X1,X1,c_COMBI(X1),X2,X3)=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.86/3.09 cnf(i_0_3678, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Relation_ODomain(X1,X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X2)),X3)))). 2.86/3.09 cnf(i_0_5974, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),X3)=c_List_Olist_ONil(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X2)))). 2.86/3.09 cnf(i_0_1473, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,esk85_3(X2,X3,X1),X4)|c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X2)|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X4),X3)))). 2.86/3.09 cnf(i_0_4684, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=c_Option_Ooption_ONone(X2)|c_Option_Ooption_ONone(X2)!=hAPP(X3,X5)|hAPP(X4,X5)!=c_Option_Ooption_ONone(X2))). 2.86/3.09 cnf(i_0_6749, plain, (X1=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X3)|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X2,X3),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X4))))). 2.86/3.09 cnf(i_0_144, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.86/3.09 cnf(i_0_6126, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),X1))!=c_List_Olist_ONil(tc_Nat_Onat))). 2.86/3.09 cnf(i_0_5975, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3))|hAPP(hAPP(c_List_Odrop(X1),X3),X2)!=c_List_Olist_ONil(X1))). 2.86/3.09 cnf(i_0_1114, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1))). 2.86/3.09 cnf(i_0_5938, plain, (c_Fun_Oinj__on(X1,tc_Option_Ooption(X2),X3,c_Map_Odom(X1,X2,X3))|~c_Fun_Oinj__on(X1,tc_Option_Ooption(X2),c_Map_Omap__add(X1,X2,X4,X3),c_Map_Odom(X1,X2,X3)))). 2.86/3.09 cnf(i_0_2119, plain, (hAPP(c_Fun_Ooverride__on(X1,X2,X3,X4,X5),X6)=hAPP(X4,X6)|~hBOOL(hAPP(hAPP(c_member(X1),X6),X5)))). 2.86/3.09 cnf(i_0_1799, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OPow(X1),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.86/3.09 cnf(i_0_1678, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.86/3.09 cnf(i_0_1215, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),esk67_2(X2,X1)),X2)))). 2.86/3.09 cnf(i_0_2643, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.86/3.09 cnf(i_0_494, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.86/3.09 cnf(i_0_2554, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.86/3.09 cnf(i_0_4511, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),esk302_2(X2,X1)),X2)))). 2.86/3.09 cnf(i_0_6631, plain, (X1=hAPP(hAPP(c_List_Olist_OCons(X2),X3),c_List_Olist_ONil(X2))|hAPP(c_List_Orev(X2),X1)!=hAPP(hAPP(c_List_Olist_OCons(X2),X3),c_List_Olist_ONil(X2)))). 2.86/3.09 cnf(i_0_1323, plain, (hAPP(c_COMBK(tc_Option_Ooption(X1),X2),c_Option_Ooption_ONone(X1))=X3|c_Map_Odom(X2,X1,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.93/3.09 cnf(i_0_1505, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Omult__zero(X1)|~class_Rings_Ozero__neq__one(X1)|~class_Rings_Ono__zero__divisors(X1)|~class_Power_Opower(X1))). 2.93/3.09 cnf(i_0_6447, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))))). 2.93/3.09 cnf(i_0_222, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))))). 2.93/3.09 cnf(i_0_223, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))))). 2.93/3.09 cnf(i_0_3956, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))))). 2.93/3.09 cnf(i_0_7, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.09 cnf(i_0_818, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)))|~class_Rings_Olinordered__semidom(X1))). 2.93/3.09 cnf(i_0_3024, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk172_2(X1,X2)),X1))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)))). 2.93/3.09 cnf(i_0_3957, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))))). 2.93/3.09 cnf(i_0_1461, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(X1,esk84_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.09 cnf(i_0_3617, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk236_2(X1,X2)),X1))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)))). 2.93/3.09 cnf(i_0_2403, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X2),X3))=X2|~c_Equiv__Relations_Oequiv(X1,X2,X3))). 2.93/3.09 cnf(i_0_4913, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.09 cnf(i_0_7319, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(X1,esk495_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.09 cnf(i_0_2135, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(X1,esk121_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.09 cnf(i_0_3542, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)))). 2.93/3.09 cnf(i_0_4283, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)),X2)))). 2.93/3.09 cnf(i_0_2298, plain, (c_Random_Ominus__shift(X1,X2,X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X2),X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X2),X3)))). 2.93/3.09 cnf(i_0_6374, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Int_Onumber__ring(X1))). 2.93/3.09 cnf(i_0_3262, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2))=hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_3438, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2))=hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_687, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2))=hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_7205, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)))). 2.93/3.09 cnf(i_0_5348, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2)),X3)))). 2.93/3.09 cnf(i_0_6209, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2))=hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_6303, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Int_Onumber__ring(X1))). 2.93/3.09 cnf(i_0_5349, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)))). 2.93/3.09 cnf(i_0_432, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2)),X3)))). 2.93/3.09 cnf(i_0_433, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)))). 2.93/3.09 cnf(i_0_5545, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Osgn__class_Osgn(X1,X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X2))=X2|~class_Rings_Olinordered__idom(X1))). 2.93/3.09 cnf(i_0_4919, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(c_List_Oset(X1),X2))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.93/3.09 cnf(i_0_6540, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3))=X2|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_4465, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3))=X2|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_6274, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.09 cnf(i_0_1131, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X1))))). 2.93/3.09 cnf(i_0_3773, plain, (c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Lattices_Olattice(X1))). 2.93/3.09 cnf(i_0_1645, plain, (c_Complete__Lattice_OSup__class_OSup(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.09 cnf(i_0_6082, plain, (c_Complete__Lattice_OInf__class_OInf(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.09 cnf(i_0_7363, plain, (c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_1018, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_OSuc,X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Rings_Osemiring__0(X1))). 2.93/3.09 cnf(i_0_3936, plain, (hAPP(X1,X2)=hAPP(c_Finite__Set_Ofold1(X3,X4),X2)|~c_Big__Operators_Osemilattice__big(X3,X4,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 2.93/3.09 cnf(i_0_2931, plain, (hAPP(c_Finite__Set_Ofold1(X1,X2),X3)=hAPP(X4,X3)|~c_Finite__Set_Ofolding__one(X1,X2,X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.09 cnf(i_0_2992, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))))). 2.93/3.09 cnf(i_0_2993, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))))). 2.93/3.09 cnf(i_0_5436, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Lattices_Olattice(X1))). 2.93/3.09 cnf(i_0_3691, plain, (c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Orderings_Olinorder(X1))). 2.93/3.09 cnf(i_0_4747, plain, (hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X1))=hAPP(c_Finite__Set_Ocard(tc_Int_Oint),X1)|~c_Nat__Transfer_Onat__set(X1))). 2.93/3.09 cnf(i_0_3739, plain, (hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)))). 2.93/3.09 cnf(i_0_3292, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X3),X4))|~class_Orderings_Oord(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2)),X3),X4)))). 2.93/3.09 cnf(i_0_3639, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.09 cnf(i_0_544, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.09 cnf(i_0_3084, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Groups_Oabs__if(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.09 cnf(i_0_2138, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.09 cnf(i_0_3296, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1)))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.93/3.09 cnf(i_0_3074, plain, (hBOOL(hAPP(X1,esk174_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(X1,X3)))). 2.93/3.09 cnf(i_0_3987, plain, (hBOOL(hAPP(X1,esk274_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(X1,X3)))). 2.93/3.09 cnf(i_0_3685, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.09 cnf(i_0_6243, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.09 cnf(i_0_7426, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk498_1(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.09 cnf(i_0_4154, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X2)))). 2.93/3.09 cnf(i_0_514, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.09 cnf(i_0_2250, plain, (c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))=c_List_Olist_ONil(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.09 cnf(i_0_2839, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)))). 2.93/3.09 cnf(i_0_426, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)))). 2.93/3.09 cnf(i_0_2077, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Complete__Lattice_OInf__class_OInf(X1,X3)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),esk119_3(X3,X2,X1))))). 2.93/3.09 cnf(i_0_2126, plain, (c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=c_List_Olist_ONil(X1)|hBOOL(hAPP(X2,X3)))). 2.93/3.09 cnf(i_0_1430, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.09 cnf(i_0_424, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.09 cnf(i_0_5997, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X2)))). 2.93/3.09 cnf(i_0_3131, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)|~class_Lattices_Osemilattice__inf(X1))). 2.93/3.09 cnf(i_0_54, plain, (c_SMT_Oz3mod(X1,X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.09 cnf(i_0_2737, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(X1,esk162_3(X3,X2,X1)))|~hBOOL(hAPP(X1,esk164_3(X3,X2,X1)))|~hBOOL(hAPP(X1,X2)))). 2.93/3.09 cnf(i_0_6204, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Complete__Lattice_OSup__class_OSup(X1,X2)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),esk419_3(X3,X2,X1)),X3)))). 2.93/3.09 cnf(i_0_3716, plain, (c_Relation_Ototal__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk250_3(X3,X2,X1)),X2)))). 2.93/3.09 cnf(i_0_1100, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.09 cnf(i_0_1191, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Groups_Oone__class_Oone(X2)|~class_Groups_Ocomm__monoid__mult(X2))). 2.93/3.09 cnf(i_0_3715, plain, (c_Relation_Ototal__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk251_3(X3,X2,X1)),X2)))). 2.93/3.09 cnf(i_0_3855, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4))|~c_Typedef_Otype__definition(X5,X1,X2,X6,X4))). 2.93/3.09 cnf(i_0_757, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk37_3(X4,X3,X1)),esk38_3(X4,X3,X1)))))). 2.93/3.09 cnf(i_0_3457, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X6),X1),X2),X3)))). 2.93/3.09 cnf(i_0_3339, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X1),X6),X2),X3)))). 2.93/3.09 cnf(i_0_1597, plain, (hAPP(c_Map_Orestrict__map(X1,X2,X3,X4),X5)=c_Option_Ooption_ONone(X2)|hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 2.93/3.09 cnf(i_0_7211, plain, (X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.09 cnf(i_0_7212, plain, (c_Groups_Oone__class_Oone(tc_Int_Oint)=X1|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.09 cnf(i_0_725, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1))). 2.93/3.09 cnf(i_0_51, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)|~class_Lattices_Olattice(X1))). 2.93/3.09 cnf(i_0_4028, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber(X1))). 2.93/3.09 cnf(i_0_6423, plain, (c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),X1)))). 2.93/3.09 cnf(i_0_4521, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))))). 2.93/3.09 cnf(i_0_782, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))))). 2.93/3.09 cnf(i_0_1831, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))))). 2.93/3.09 cnf(i_0_2139, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X3),X1)))|~hBOOL(hAPP(X2,esk121_3(X1,X3,X2))))). 2.93/3.09 cnf(i_0_3054, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X2)|~class_Lattices_Olattice(X1))). 2.93/3.09 cnf(i_0_7113, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Oone__class_Oone(X1)|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Groups_Osgn__if(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.09 cnf(i_0_4382, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.09 cnf(i_0_3076, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)))). 2.93/3.10 cnf(i_0_6659, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OgreaterThan(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X4),X2)))). 2.93/3.10 cnf(i_0_4783, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatLeast(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X4),X2)))). 2.93/3.10 cnf(i_0_16, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))). 2.93/3.10 cnf(i_0_4247, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X2)|~class_Lattices_Osemilattice__sup(X1))). 2.93/3.10 cnf(i_0_3049, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)=X2|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_4814, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),X2)),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Oring__char__0(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_1385, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X3),c_List_Orotate1(X1)),X2))))). 2.93/3.10 cnf(i_0_6875, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatMost(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))). 2.93/3.10 cnf(i_0_7451, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(X1,esk501_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_7435, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(X1,esk499_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_3062, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))). 2.93/3.10 cnf(i_0_6961, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Odvd(X1))). 2.93/3.10 cnf(i_0_3759, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_5084, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_3061, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))|~hBOOL(hAPP(X2,X4)))). 2.93/3.10 cnf(i_0_2383, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),esk141_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_7219, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),esk489_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_5663, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk386_3(X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_602, plain, (X1=hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(c_Nat_Onat_Onat__rec(X3,X1,X4),esk32_4(X4,X1,X3,X2))!=hAPP(X2,esk32_4(X4,X1,X3,X2)))). 2.93/3.10 cnf(i_0_1174, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_2445, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1262, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_974, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(hAPP(X2,X3),X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)))). 2.93/3.10 cnf(i_0_4791, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X2),X1))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),X2),X1)))). 2.93/3.10 cnf(i_0_3219, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X1),X2))|~class_Orderings_Olinorder(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),X1),X2)))). 2.93/3.10 cnf(i_0_690, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X3))))). 2.93/3.10 cnf(i_0_691, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))))). 2.93/3.10 cnf(i_0_4458, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_564, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X4),X2)),X3)))). 2.93/3.10 cnf(i_0_565, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X4)),X3)))). 2.93/3.10 cnf(i_0_4963, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk326_2(X1,X2))=X1|hBOOL(hAPP(X2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))|~hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.10 cnf(i_0_4529, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2))=hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))|~class_Rings_Oring__1(X1))). 2.93/3.10 cnf(i_0_1232, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),X3)))). 2.93/3.10 cnf(i_0_626, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)))). 2.93/3.10 cnf(i_0_2173, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~c_Wellfounded_Owf(X1,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Relation_OImage(X1,X1,X3),X2))))). 2.93/3.10 cnf(i_0_6221, plain, (hAPP(X1,hAPP(X2,X3))=X3|~c_Typedef_Otype__definition(X4,X5,X1,X2,X6)|~hBOOL(hAPP(hAPP(c_member(X5),X3),X6)))). 2.93/3.10 cnf(i_0_2574, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_4547, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_7266, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X3))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_6671, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X2))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_4457, plain, (hAPP(X1,esk298_5(X2,X3,X1,X4,X5))=X2|hAPP(hAPP(c_Option_Omap(X5,X4),X1),X3)!=hAPP(c_Option_Ooption_OSome(X4),X2))). 2.93/3.10 cnf(i_0_2478, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olinorder__class_Oinsort__insert__key(X1,X2,X3,X4,X5)))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(c_List_Odistinct(X1),X5)))). 2.93/3.10 cnf(i_0_6570, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),X5)=X6|~c_Finite__Set_Ofun__left__comm(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),X6)))). 2.93/3.10 cnf(i_0_3279, plain, (~hBOOL(hAPP(hAPP(c_member(X1),esk195_5(X2,X3,X4,X5,X1)),esk196_5(X2,X3,X4,X5,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X5,hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X2)))). 2.93/3.10 cnf(i_0_5939, plain, (hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,esk401_1(X1))))). 2.93/3.10 cnf(i_0_2957, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3))=X2|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_2921, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_3803, plain, (~hBOOL(hAPP(hAPP(c_member(X1),esk255_5(X2,X3,X4,X5,X1)),esk256_5(X2,X3,X4,X5,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X5,hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X2)))). 2.93/3.10 cnf(i_0_3862, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X3,X4),X1)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X3,X5),X2)|~class_Orderings_Olinorder(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X5),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X4),X1)))). 2.93/3.10 cnf(i_0_2254, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X3,X1),X4)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X3,X2),X5)|~class_Orderings_Olinorder(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X2),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X1),X4)))). 2.93/3.10 cnf(i_0_2736, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(X1),esk158_2(X2,X1)),esk157_2(X2,X1))))). 2.93/3.10 cnf(i_0_2395, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3))=X2|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_2317, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_1332, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X2)=c_Divides_Odiv__class_Omod(X1,X3,X2)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_5914, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X3)=X2|~class_Groups_Ogroup__add(X1))). 2.93/3.10 cnf(i_0_4439, plain, (c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_6201, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_5641, plain, (hBOOL(hAPP(X1,X2))|hAPP(c_List_Ofilter(X3,X1),X4)!=X4|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 2.93/3.10 cnf(i_0_3756, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),X3)=X2|~class_Groups_Ogroup__add(X1))). 2.93/3.10 cnf(i_0_1659, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.10 cnf(i_0_973, plain, (hBOOL(hAPP(hAPP(X1,esk48_3(X2,X1,X3)),X2))|hBOOL(hAPP(c_Wellfounded_Oaccp(X3,X1),X2)))). 2.93/3.10 cnf(i_0_4219, plain, (hAPP(X1,esk288_3(X1,X2,X3))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat),X1),X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 2.93/3.10 cnf(i_0_1279, plain, (hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X2,X4),X5))|~hBOOL(hAPP(X3,X5)))). 2.93/3.10 cnf(i_0_146, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk9_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))))). 2.93/3.10 cnf(i_0_3505, plain, (hBOOL(hAPP(hAPP(X1,esk219_3(X2,X1,X3)),X2))|hBOOL(hAPP(c_Wellfounded_Oaccp(X3,X1),X2)))). 2.93/3.10 cnf(i_0_4022, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)=c_Groups_Oone__class_Oone(X2)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~class_Groups_Ocomm__monoid__mult(X2))). 2.93/3.10 cnf(i_0_3295, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))=X2|c_Groups_Oone__class_Oone(X1)=X2|c_Groups_Oone__class_Oone(X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.93/3.10 cnf(i_0_6129, plain, (hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))=hAPP(c_List_Ohd(X1),X2)|c_List_Olist_ONil(X1)=X2)). 2.93/3.10 cnf(i_0_821, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk42_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))))). 2.93/3.10 cnf(i_0_7262, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk491_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))))). 2.93/3.10 cnf(i_0_703, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(X2,esk35_3(X1,X3,X2)))|~hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X3),X1))))). 2.93/3.10 cnf(i_0_3463, plain, (hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_4429, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X2=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))). 2.93/3.10 cnf(i_0_5941, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk400_1(X1)))|hBOOL(hAPP(X1,X2)))). 2.93/3.10 cnf(i_0_1610, plain, (c_Divides_Odiv__class_Omod(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3)))). 2.93/3.10 cnf(i_0_6261, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)))). 2.93/3.10 cnf(i_0_6559, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Complete__Lattice_OSup__class_OSup(X1,X3)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.10 cnf(i_0_3758, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Complete__Lattice_OInf__class_OInf(X1,X2)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 2.93/3.10 cnf(i_0_1824, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_3852, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))). 2.93/3.10 cnf(i_0_6551, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),esk444_3(X2,X4,X1))|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4)))). 2.93/3.10 cnf(i_0_4365, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_4373, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=X1|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_4392, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_6149, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3))))). 2.93/3.10 cnf(i_0_398, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4))))). 2.93/3.10 cnf(i_0_7183, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_4828, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk316_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_4705, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_4026, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),c_Groups_Ozero__class_Ozero(X1))|hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber(X1))). 2.93/3.10 cnf(i_0_296, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))))). 2.93/3.10 cnf(i_0_778, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_555, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)),X3)))). 2.93/3.10 cnf(i_0_988, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1))!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2))). 2.93/3.10 cnf(i_0_989, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__ring__strict(X1))). 2.93/3.10 cnf(i_0_5275, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X2),X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_6487, plain, (hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,X2)),X3),X4)=hAPP(c_Groups_Ouminus__class_Ouminus(X2),hAPP(X3,X4))|~class_Groups_Ouminus(X2))). 2.93/3.10 cnf(i_0_5955, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))!=hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),X3),X4))). 2.93/3.10 cnf(i_0_7402, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X2,X1)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X2,X1),tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_5394, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(X2,X1)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X2,X1),tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_5395, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(X1,X2)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X1,X2),tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_6384, plain, (c_Natural_Oevaln(X1,X2,X3,esk431_5(X4,X3,X2,X1,X5))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X5,X1),X2,X3,X4)|~hBOOL(hAPP(X5,X2)))). 2.93/3.10 cnf(i_0_1307, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X3))))). 2.93/3.10 cnf(i_0_64, plain, (X1=c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X3|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X3),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X4),X1))))). 2.93/3.10 cnf(i_0_2498, plain, (c_Option_Ooption_ONone(X1)=hAPP(X2,X3)|hBOOL(hAPP(hAPP(c_member(X4),X3),c_Map_Odom(X4,X1,X2))))). 2.93/3.10 cnf(i_0_6410, plain, (X1=hAPP(c_Nat_OSuc,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))))). 2.93/3.10 cnf(i_0_4012, plain, (c_Groups_Osgn__class_Osgn(tc_Int_Oint,X1)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6827, plain, (c_Natural_Oevaln(X1,X2,X3,esk456_5(X4,X3,X2,X1,X5))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X5,X1),X2,X3,X4)|~hBOOL(hAPP(X5,X2)))). 2.93/3.10 cnf(i_0_6267, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.10 cnf(i_0_7233, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.10 cnf(i_0_6727, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_6249, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X1)))). 2.93/3.10 cnf(i_0_3513, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))))). 2.93/3.10 cnf(i_0_3113, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_6344, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2420, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Set_Oimage(X3,X1,X4),X5)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X5)))). 2.93/3.10 cnf(i_0_6387, plain, (X1=X2|c_Natural_Oevaln(X3,X1,X4,esk431_5(X2,X4,X1,X3,X5))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X5,X3),X1,X4,X2))). 2.93/3.10 cnf(i_0_6824, plain, (X1=X2|c_Natural_Oevaln(X3,X1,X4,esk456_5(X2,X4,X1,X3,X5))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X5,X3),X1,X4,X2))). 2.93/3.10 cnf(i_0_5576, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_649, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_4251, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.93/3.10 cnf(i_0_5497, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)|~class_Rings_Oidom(X1))). 2.93/3.10 cnf(i_0_2685, plain, (X1=X2|~c_Finite__Set_Ofun__left__comm(X3,X4,X5)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7),X2))|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7),X1)))). 2.93/3.10 cnf(i_0_4290, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.93/3.10 cnf(i_0_5262, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.93/3.10 cnf(i_0_3818, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),X4))))). 2.93/3.10 cnf(i_0_1044, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6968, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)))). 2.93/3.10 cnf(i_0_5313, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))|~c_Wellfounded_Owf(X1,X2))). 2.93/3.10 cnf(i_0_2544, plain, (hBOOL(hAPP(c_Divides_Odivmod__int__rel(X1,X2),hAPP(c_Divides_OnegateSnd,X3)))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)),X3)))). 2.93/3.10 cnf(i_0_6732, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))|~c_Wellfounded_Owf(X1,X3))). 2.93/3.10 cnf(i_0_3312, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))|~c_Wellfounded_Owf(X1,X2))). 2.93/3.10 cnf(i_0_3083, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),X2)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oabs__if(X1))). 2.93/3.10 cnf(i_0_1304, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3))|hBOOL(hAPP(X4,X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X5,X1)),X2),X3)))). 2.93/3.10 cnf(i_0_7185, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|esk485_3(X3,X2,X1)=esk486_3(X3,X2,X1))). 2.93/3.10 cnf(i_0_2184, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X2)))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_2331, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X2)))|~class_Lattices_Osemilattice__sup(X1))). 2.93/3.10 cnf(i_0_2332, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_5574, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)))|~class_Lattices_Osemilattice__sup(X1))). 2.93/3.10 cnf(i_0_5400, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Groups_Ogroup__add(X1))). 2.93/3.10 cnf(i_0_6615, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|hAPP(c_Groups_Oabs__class_Oabs(X1),X3)!=hAPP(c_Groups_Oabs__class_Oabs(X1),X2)|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_1990, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),esk115_2(X2,X1))))). 2.93/3.10 cnf(i_0_3137, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~class_Rings_Olinordered__idom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(c_Int_Oring__1__class_Oof__int(X3),X1)),hAPP(c_Int_Oring__1__class_Oof__int(X3),X2))))). 2.93/3.10 cnf(i_0_6794, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~class_Rings_Olinordered__idom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),hAPP(c_Int_Oring__1__class_Oof__int(X3),X1)),hAPP(c_Int_Oring__1__class_Oof__int(X3),X2))))). 2.93/3.10 cnf(i_0_5581, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_3856, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_1895, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Osemilattice__inf(X1))). 2.93/3.10 cnf(i_0_5699, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_3664, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Rings_Ocomm__ring__1(X1))). 2.93/3.10 cnf(i_0_1450, plain, (c_Orderings_Oorder_Omono(tc_Nat_Onat,X1,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2)|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X2,esk82_2(X2,X1))),hAPP(X2,esk83_2(X2,X1)))))). 2.93/3.10 cnf(i_0_2518, plain, (X1=X2|hAPP(hAPP(c_List_Omap(X3,X4),X5),X1)!=hAPP(hAPP(c_List_Omap(X3,X4),X5),X2)|~c_Fun_Oinj__on(X3,X4,X5,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_898, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(c_Int_Oring__1__class_Oof__int(X2),X1))))). 2.93/3.10 cnf(i_0_2716, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Osemilattice__inf(X1))). 2.93/3.10 cnf(i_0_4389, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_3022, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),esk173_1(X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2)))). 2.93/3.10 cnf(i_0_3618, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk235_1(X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2)))). 2.93/3.10 cnf(i_0_3951, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Groups_Oab__group__add(X1))). 2.93/3.10 cnf(i_0_2414, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(c_Int_Oring__1__class_Oof__int(X2),X1))))). 2.93/3.10 cnf(i_0_202, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),hAPP(c_Int_Oring__1__class_Oof__int(X2),X1)),c_Groups_Ozero__class_Ozero(X2))))). 2.93/3.10 cnf(i_0_904, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(c_Int_Oring__1__class_Oof__int(X2),X1)),c_Groups_Ozero__class_Ozero(X2))))). 2.93/3.10 cnf(i_0_1649, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4964, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))|~hBOOL(hAPP(X2,esk326_2(X1,X2))))). 2.93/3.10 cnf(i_0_781, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),X2)))). 2.93/3.10 cnf(i_0_5085, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)|~class_Groups_Ogroup__add(X1))). 2.93/3.10 cnf(i_0_3442, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.10 cnf(i_0_1980, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.10 cnf(i_0_81, plain, (c_List_Oremove1(X1,X2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X2),X3))=X3|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_4690, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_264, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1119, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Lattices_Oboolean__algebra(X1))). 2.93/3.10 cnf(i_0_3375, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Lattices_Oboolean__algebra(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.10 cnf(i_0_6796, plain, (X1=c_Big__Operators_Olinorder__class_OMin(X2,X3)|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X1),esk455_3(X1,X3,X2)))|~hBOOL(hAPP(hAPP(c_member(X2),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_5001, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_6549, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_6460, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_116, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_3095, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hAPP(X4,esk178_4(X4,X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_6052, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hAPP(X4,esk411_4(X4,X3,X1,X2))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_1277, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hAPP(X4,esk72_4(X4,X3,X2,X1))!=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_4167, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hAPP(X4,esk285_4(X4,X3,X1,X2))!=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_3591, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_37, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6311, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_6884, plain, (hAPP(c_List_Ofilter(X1,X2),c_List_Oremove1(X1,X3,X4))=hAPP(c_List_Ofilter(X1,X2),X4)|hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_4779, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4)),c_List_Olists(X1,X3))))). 2.93/3.10 cnf(i_0_3694, plain, (c_Big__Operators_Olinorder__class_OMax(X1,X2)=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),esk248_3(X3,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_1469, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,X2,esk87_4(X4,X5,X1,X2))|~c_Hoare__Mirabelle_Ohoare__valids(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4)))). 2.93/3.10 cnf(i_0_2175, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_2913, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_3722, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk252_1(X1)))|~hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.93/3.10 cnf(i_0_6351, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_616, plain, (c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))|~c_Wellfounded_Owf(X2,hAPP(X4,esk33_4(X1,X4,X2,X3))))). 2.93/3.10 cnf(i_0_1506, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),X3),X1)!=c_Orderings_Obot__class_Obot(X2)|c_Orderings_Otop__class_Otop(X2)!=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X2),X3),X1)|~class_Lattices_Oboolean__algebra(X2))). 2.93/3.10 cnf(i_0_1472, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),esk86_3(X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_4048, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),c_Groups_Ozero__class_Ozero(X1))),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.10 cnf(i_0_1350, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.10 cnf(i_0_573, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk31_2(X2,X1)))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_2297, plain, (c_Random_Ominus__shift(X1,X2,X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),X1),X2)),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X2),X3)))). 2.93/3.10 cnf(i_0_206, plain, (hBOOL(hAPP(X1,esk11_3(X2,X1,X3)))|~class_Rings_Odvd(X3)|~class_Rings_Osemiring__0(X3)|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X4))))). 2.93/3.10 cnf(i_0_4152, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),esk283_3(X2,X3,X1))))). 2.93/3.10 cnf(i_0_6670, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk449_2(X2,X1)))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_6789, plain, (hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2)))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_4718, plain, (c_Relation_Osingle__valued(X1,X1,hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X2),X3))|~c_Relation_Osingle__valued(X1,X1,X3))). 2.93/3.10 cnf(i_0_3353, plain, (hAPP(c_List_Ofoldl(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2)=c_Complete__Lattice_OInf__class_OInf(X1,hAPP(c_List_Oset(X1),X2))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_2038, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_1218, plain, (X1=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_7328, plain, (c_Relation_Osingle__valued(X1,X2,hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),X5))|~c_Relation_Osingle__valued(X3,X2,X5)|~c_Relation_Osingle__valued(X1,X3,X4))). 2.93/3.10 cnf(i_0_3776, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Set_OPow(X1),X3))))). 2.93/3.10 cnf(i_0_3471, plain, (hAPP(c_List_Ofoldl(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2)=c_Complete__Lattice_OSup__class_OSup(X1,hAPP(c_List_Oset(X1),X2))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_174, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4))=hAPP(c_Finite__Set_Ocard(X2),X4)|~c_Fun_Oinj__on(X2,X1,X3,X4))). 2.93/3.10 cnf(i_0_1482, plain, (c_List_Olist_ONil(X1)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.10 cnf(i_0_3984, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 2.93/3.10 cnf(i_0_4575, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,X2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 2.93/3.10 cnf(i_0_3712, plain, (c_Relation_Ototal__on(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk250_3(X3,X2,X1)),esk251_3(X3,X2,X1))),X3)))). 2.93/3.10 cnf(i_0_3713, plain, (c_Relation_Ototal__on(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk251_3(X3,X2,X1)),esk250_3(X3,X2,X1))),X3)))). 2.93/3.10 cnf(i_0_3619, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))=hAPP(X3,c_List_Olast(X2,X4))|X4=c_List_Olist_ONil(X2))). 2.93/3.10 cnf(i_0_2533, plain, (c_Divides_Odivmod__int(X1,X2)=c_Divides_OnegDivAlg(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_3572, plain, (c_List_Olinorder__class_Osorted(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk229_2(X2,X1)),esk228_2(X2,X1)))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_7370, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Rings_Ocomm__ring__1(X1))). 2.93/3.10 cnf(i_0_1932, plain, (c_Predicate_Opred__comp(X1,X2,X3,X4,X5,X6,X7)|~hBOOL(hAPP(hAPP(X4,X6),X8))|~hBOOL(hAPP(hAPP(X5,X8),X7)))). 2.93/3.10 cnf(i_0_5932, plain, (X1=hAPP(hAPP(c_List_Onth(X2),X3),X4)|hAPP(hAPP(c_List_Olist__update(X2,X3),X4),X1)!=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3))))). 2.93/3.10 cnf(i_0_4514, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~class_Rings_Olinordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X2))))). 2.93/3.10 cnf(i_0_6556, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1))))). 2.93/3.10 cnf(i_0_5443, plain, (X1=hAPP(c_Set_Oimage(X2,X3,X4),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))|~c_Typedef_Otype__definition(X2,X3,X4,X5,X1))). 2.93/3.10 cnf(i_0_2681, plain, (c_List_Olist_ONil(X1)=X2|hBOOL(hAPP(hAPP(c_member(X1),c_List_Olast(X1,X2)),hAPP(c_List_Oset(X1),X2))))). 2.93/3.10 cnf(i_0_119, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~class_Rings_Olinordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X2))))). 2.93/3.10 cnf(i_0_5681, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_2342, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),c_Transitive__Closure_Ortrancl(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_HOL_Obool))))))). 2.93/3.10 cnf(i_0_3748, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_1317, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_914, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X3)=X2|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_7048, plain, (X1=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hAPP(c_Finite__Set_Ocard(X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))!=hAPP(c_Finite__Set_Ocard(X2),X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_6477, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~class_Rings_Olinordered__semidom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1))))). 2.93/3.10 cnf(i_0_298, plain, (~c_Wellfounded_Oacyclic(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 2.93/3.10 cnf(i_0_7051, plain, (X1=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1)!=hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)|~class_Rings_Olinordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),c_Groups_Oone__class_Oone(X3)),X4)))). 2.93/3.10 cnf(i_0_7408, plain, (hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5),X6)=hAPP(X3,X6)|X4=X6)). 2.93/3.10 cnf(i_0_6164, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk415_1(X1)))))). 2.93/3.10 cnf(i_0_4639, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))). 2.93/3.10 cnf(i_0_2738, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))|~hBOOL(hAPP(X2,esk162_3(X1,X3,X2)))|~hBOOL(hAPP(X2,esk164_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_241, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)))). 2.93/3.10 cnf(i_0_2367, plain, (hAPP(c_Map_Omap__of(X1,X2,X3),X4)!=c_Option_Ooption_ONone(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3)))))). 2.93/3.10 cnf(i_0_2557, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_2558, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))))). 2.93/3.10 cnf(i_0_4835, plain, (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4)|~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,hAPP(c_Nat_OSuc,X3),X4))). 2.93/3.10 cnf(i_0_919, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk47_3(X2,X3,X1)),X2))|hBOOL(hAPP(c_Predicate_OPowp(X1,X3),X2)))). 2.93/3.10 cnf(i_0_2212, plain, (c_Equiv__Relations_Oequiv(X1,hAPP(c_Relation_ODomain(X1,X1),X2),X2)|hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(c_Relation_Oconverse(X1,X1),X2)),X2)!=X2)). 2.93/3.10 cnf(i_0_6561, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)=hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))|hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))=X2)). 2.93/3.10 cnf(i_0_1957, plain, (~class_Rings_Olinordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1933, plain, (hBOOL(hAPP(hAPP(X1,X2),esk114_4(X3,X2,X4,X1)))|~c_Predicate_Opred__comp(X5,X6,X7,X1,X4,X2,X3))). 2.93/3.10 cnf(i_0_1934, plain, (hBOOL(hAPP(hAPP(X1,esk114_4(X2,X3,X1,X4)),X2))|~c_Predicate_Opred__comp(X5,X6,X7,X4,X1,X3,X2))). 2.93/3.10 cnf(i_0_3825, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),esk257_3(X3,X2,X1)))))). 2.93/3.10 cnf(i_0_2101, plain, (c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_2650, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X3)))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)))). 2.93/3.10 cnf(i_0_3011, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X3)))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.93/3.10 cnf(i_0_3130, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3)))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_2430, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_SetInterval_Oord__class_OatMost(X1),X3)))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_6745, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_3479, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X5)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3))))). 2.93/3.10 cnf(i_0_2263, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),esk128_3(X3,X2,X1)),X2)),X3)))). 2.93/3.10 cnf(i_0_550, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_Obutlast(X1,X3)))))). 2.93/3.10 cnf(i_0_268, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)))). 2.93/3.10 cnf(i_0_2619, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_186, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(c_Groups_Oabs__class_Oabs(X1),X3)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_2062, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_7236, plain, (hAPP(hAPP(c_List_Onth(X1),X2),esk490_3(X2,X3,X1))=X3|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X2))))). 2.93/3.10 cnf(i_0_1494, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~c_Nat__Transfer_Onat__set(X2)|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_394, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)))). 2.93/3.10 cnf(i_0_5672, plain, (c_Fun_Oinj__on(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~c_Fun_Oinj__on(tc_List_Olist(X1),tc_List_Olist(X2),hAPP(c_List_Omap(X1,X2),X3),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(X1),tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_128, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_6103, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X1),X2)))). 2.93/3.10 cnf(i_0_6830, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)|~c_Natural_Oevaln(X2,X3,X4,X6)|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_6604, plain, (hAPP(X1,esk447_4(X2,X1,X3,X4))=hAPP(X1,esk448_4(X2,X1,X3,X4))|c_Fun_Oinj__on(X4,X3,X1,X2))). 2.93/3.10 cnf(i_0_3583, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)))|~hBOOL(hAPP(X1,esk230_2(X1,X3))))). 2.93/3.10 cnf(i_0_7251, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_4561, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),hAPP(c_Code__Numeral_Onat__of,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),X1),X2)))). 2.93/3.10 cnf(i_0_6904, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_163, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.10 cnf(i_0_7267, plain, (c_Fun_Oinj__on(X1,X2,X3,hAPP(c_List_Oset(X1),X4))|~hBOOL(hAPP(c_List_Odistinct(X2),hAPP(hAPP(c_List_Omap(X1,X2),X3),X4))))). 2.93/3.10 cnf(i_0_2698, plain, (hBOOL(hAPP(X1,esk154_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X4),X5),X3))|~hBOOL(hAPP(X1,X5)))). 2.93/3.10 cnf(i_0_1558, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X2)),hAPP(c_Relation_Oconverse(X2,X1),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X2,X1)),X3)))). 2.93/3.10 cnf(i_0_3914, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X1,X3))=c_Complete__Lattice_OInf__class_OInf(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_2700, plain, (hBOOL(hAPP(X1,esk154_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X4),X5),X2))|~hBOOL(hAPP(X1,X5)))). 2.93/3.10 cnf(i_0_4456, plain, (hAPP(c_Option_Ooption_OSome(X1),esk298_5(X2,X3,X4,X5,X1))=X3|hAPP(hAPP(c_Option_Omap(X1,X5),X4),X3)!=hAPP(c_Option_Ooption_OSome(X5),X2))). 2.93/3.10 cnf(i_0_6401, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X1,X3))=c_Complete__Lattice_OSup__class_OSup(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_3567, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,esk227_1(X1))))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_886, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk46_2(X1,X2)),X1))|hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X2,X1)))). 2.93/3.10 cnf(i_0_2626, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_COMBK(X2,X1),c_Groups_Ozero__class_Ozero(X2))),X3)=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.10 cnf(i_0_2036, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3)=X2|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_3498, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X1)))). 2.93/3.10 cnf(i_0_7040, plain, (hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X4,X5))=X5|~c_Fun_Oinj__on(X1,X2,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X3)))). 2.93/3.10 cnf(i_0_609, plain, (c_Fun_Oinj__on(X1,X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(X1,X1,X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_676, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(c_COMBK(X2,X1),c_Groups_Oone__class_Oone(X2))),X3)=c_Groups_Oone__class_Oone(X2)|~class_Groups_Ocomm__monoid__mult(X2))). 2.93/3.10 cnf(i_0_1220, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)=c_List_Olist_ONil(X1)|esk68_2(X2,X1)!=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_7137, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)=c_List_Olist_ONil(X1)|esk481_2(X2,X1)!=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_6020, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_3571, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_List_Onth(X1),X2),esk229_2(X2,X1))),hAPP(hAPP(c_List_Onth(X1),X2),esk228_2(X2,X1)))))). 2.93/3.10 cnf(i_0_2905, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|c_Groups_Osgn__class_Osgn(X1,X2)!=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_2906, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_7354, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_4189, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7387, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Equiv__Relations_Oequivp(X4,X1)|~hBOOL(hAPP(hAPP(X1,X5),X3))|~hBOOL(hAPP(hAPP(X1,X2),X5)))). 2.93/3.10 cnf(i_0_1283, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2))))). 2.93/3.10 cnf(i_0_3817, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2))))). 2.93/3.10 cnf(i_0_758, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))|~hBOOL(hAPP(X1,esk36_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_4188, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_3218, plain, (c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~c_Fun_Oinj__on(X1,X2,X3,X4))). 2.93/3.10 cnf(i_0_4815, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X2)|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_21, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_900, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1628, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3365, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X2)|~class_Groups_Oab__group__add(X1))). 2.93/3.10 cnf(i_0_5034, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))=X3|~c_Finite__Set_Ofolding__one(X2,X4,X1))). 2.93/3.10 cnf(i_0_3676, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.10 cnf(i_0_4074, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(X4,X5)|~hBOOL(hAPP(hAPP(c_member(X1),X5),c_Map_Odom(X1,X2,X4))))). 2.93/3.10 cnf(i_0_6776, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X3),X1)),hAPP(c_Finite__Set_Ocard(X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X1)))). 2.93/3.10 cnf(i_0_5587, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk381_1(X1)),hAPP(c_List_Oset(tc_Nat_Onat),X1))))). 2.93/3.10 cnf(i_0_1532, plain, (c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2))|~c_Wellfounded_OwfP(X1,X2))). 2.93/3.10 cnf(i_0_7097, plain, (c_Wellfounded_Oacyclic(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2))|~c_Wellfounded_OwfP(X1,X2))). 2.93/3.10 cnf(i_0_1410, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool)),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X2)))). 2.93/3.10 cnf(i_0_235, plain, (hAPP(c_Finite__Set_Ocard(tc_sum(X1,X2)),c_Sum__Type_OPlus(X1,X2,X3,X4))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_6927, plain, (hAPP(X1,esk465_4(X2,X1,X3,X4))=X4|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Set_Oimage(X3,X5,X1),X2))))). 2.93/3.10 cnf(i_0_5213, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Relation_OId__on(X1,X3))))). 2.93/3.10 cnf(i_0_4386, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),hAPP(c_List_Oset(tc_Nat_Onat),X3))))). 2.93/3.10 cnf(i_0_604, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3))))). 2.93/3.10 cnf(i_0_234, plain, (hAPP(c_Finite__Set_Ocard(tc_sum(X1,X2)),c_Sum__Type_OPlus(X1,X2,X3,X4))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3089, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_6072, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(c_Groups_Oabs__class_Oabs(X2),X1)))|~class_Groups_Oordered__ab__group__add__abs(X2))). 2.93/3.10 cnf(i_0_7190, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))))|~class_Rings_Olinordered__semidom(X1))). 2.93/3.10 cnf(i_0_251, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)))|~class_Rings_Olinordered__ring(X1))). 2.93/3.10 cnf(i_0_6606, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(c_member(X1),esk447_4(X4,X3,X2,X1)),X4)))). 2.93/3.10 cnf(i_0_3491, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X3)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2))))). 2.93/3.10 cnf(i_0_1168, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X3)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2))))). 2.93/3.10 cnf(i_0_377, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3))))). 2.93/3.10 cnf(i_0_1743, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X3))))). 2.93/3.10 cnf(i_0_6605, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(c_member(X1),esk448_4(X4,X3,X2,X1)),X4)))). 2.93/3.10 cnf(i_0_628, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.10 cnf(i_0_5856, plain, (hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6503, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1099, plain, (hAPP(c_Fun_Ooverride__on(X1,X2,X3,X4,X5),X6)=hAPP(X3,X6)|hBOOL(hAPP(hAPP(c_member(X1),X6),X5)))). 2.93/3.10 cnf(i_0_4335, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),esk291_4(X3,X4,X2,X1),X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X4,X3,X4)|~hBOOL(hAPP(X1,X4)))). 2.93/3.10 cnf(i_0_3367, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4),X5))|~hBOOL(hAPP(hAPP(X4,esk210_5(X5,X4,X3,X2,X1)),X5)))). 2.93/3.10 cnf(i_0_133, plain, (X1=X2|hAPP(c_List_Oset(X3),X1)!=hAPP(c_List_Oset(X3),X2)|~c_List_Olinorder__class_Osorted(X3,X2)|~c_List_Olinorder__class_Osorted(X3,X1)|~class_Orderings_Olinorder(X3)|~hBOOL(hAPP(c_List_Odistinct(X3),X2))|~hBOOL(hAPP(c_List_Odistinct(X3),X1)))). 2.93/3.10 cnf(i_0_1370, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~class_Int_Onumber__ring(X3)|~class_Rings_Olinordered__idom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(c_Int_Onumber__class_Onumber__of(X3),X1)),hAPP(c_Int_Onumber__class_Onumber__of(X3),X2))))). 2.93/3.10 cnf(i_0_706, plain, (hBOOL(hAPP(X1,esk35_3(X2,X3,X1)))|hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X3),X2))))). 2.93/3.10 cnf(i_0_4883, plain, (hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X1),X2,c_Option_Ooption_ONone(X1),X3),hAPP(X4,X5))=c_Option_Ooption_ONone(X1)|c_Option_Ooption_ONone(X2)!=hAPP(X4,X5))). 2.93/3.10 cnf(i_0_4182, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_7300, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~class_Int_Onumber__ring(X3)|~class_Rings_Olinordered__idom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),hAPP(c_Int_Onumber__class_Onumber__of(X3),X1)),hAPP(c_Int_Onumber__class_Onumber__of(X3),X2))))). 2.93/3.10 cnf(i_0_5988, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_Oremove1(X1,X4,X3)))))). 2.93/3.10 cnf(i_0_4076, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_OtakeWhile(X1,X4,X3)))))). 2.93/3.10 cnf(i_0_2451, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_Osublist(X1,X3,X4)))))). 2.93/3.10 cnf(i_0_6162, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1342, plain, (c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=c_Nitpick_Onorm__frac(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_197, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_6145, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_3117, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X2),X3))=hAPP(hAPP(X1,X2),X3)|~c_Finite__Set_Ofun__left__comm__idem(X4,X5,X1))). 2.93/3.10 cnf(i_0_2325, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Oring__char__0(X1)|~hBOOL(hAPP(hAPP(c_member(X1),c_Groups_Ozero__class_Ozero(X1)),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_4889, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),c_List_Olist_ONil(X1))=hAPP(hAPP(c_List_Olist_OCons(X1),X4),c_List_Olist_ONil(X1))|~class_Orderings_Olinorder(X2))). 2.93/3.10 cnf(i_0_354, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~class_Rings_Ocomm__ring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_2675, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~class_Rings_Ocomm__ring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4520, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_4503, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X2,hAPP(hAPP(c_COMBB(X3,tc_fun(X2,X2),X1),X4),X5))|~c_Finite__Set_Ofun__left__comm__idem(X3,X2,X4))). 2.93/3.10 cnf(i_0_4531, plain, (c_Finite__Set_Ofun__left__comm(X1,X2,hAPP(hAPP(c_COMBB(X3,tc_fun(X2,X2),X1),X4),X5))|~c_Finite__Set_Ofun__left__comm(X3,X2,X4))). 2.93/3.10 cnf(i_0_4702, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_6482, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1104, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Nat_OSuc,X2))|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_2605, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),c_Wellfounded_Oless__than)))). 2.93/3.10 cnf(i_0_2314, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Map_Oran(X3,X1,X4)))|hAPP(X4,X5)!=hAPP(c_Option_Ooption_OSome(X1),X2))). 2.93/3.10 cnf(i_0_3749, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Map_Odom(X1,X3,X4)))|hAPP(c_Option_Ooption_OSome(X3),X5)!=hAPP(X4,X2))). 2.93/3.10 cnf(i_0_4862, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(X2,X4)))). 2.93/3.10 cnf(i_0_255, plain, (hAPP(X1,esk17_3(X1,X2,X3))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat),X1),X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 2.93/3.10 cnf(i_0_4715, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)),X5)!=c_Option_Ooption_ONone(X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_1965, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X2),X4),X5))|~hBOOL(hAPP(X1,X4)))). 2.93/3.10 cnf(i_0_6599, plain, (X1=hAPP(hAPP(hAPP(c_Natural_Oupdate,X2),X3),hAPP(X4,X2))|~c_Natural_Oevaln(c_Com_Ocom_OAss(X3,X4),X2,X5,X1))). 2.93/3.10 cnf(i_0_1035, plain, (X1=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X3|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X3),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X1),X4))))). 2.93/3.10 cnf(i_0_789, plain, (c_List_Oremove1(X1,X2,X3)=X3|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_2600, plain, (~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4))))). 2.93/3.10 cnf(i_0_2591, plain, (~c_Wellfounded_Oacyclic(X1,hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4))))). 2.93/3.10 cnf(i_0_2958, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))=X2|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7145, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~class_Rings_Oring__1(X1))). 2.93/3.10 cnf(i_0_5495, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_2161, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2)))))). 2.93/3.10 cnf(i_0_6493, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1))),X2)))). 2.93/3.10 cnf(i_0_3677, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|hBOOL(hAPP(c_Nat__Numeral_Oneg,X2))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_5907, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))=X2|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_2223, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))|~hBOOL(hAPP(X1,esk125_2(X1,X3))))). 2.93/3.10 cnf(i_0_6263, plain, (c_Partial__Function_Oflat__lub(X1,X2,X3)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))). 2.93/3.10 cnf(i_0_759, plain, (c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk39_2(X1,X2))))). 2.93/3.10 cnf(i_0_3414, plain, (c_Com_OWT__bodies|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),esk215_0),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies))))). 2.93/3.10 cnf(i_0_554, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X4),X2)),X3)))). 2.93/3.10 cnf(i_0_867, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,esk44_3(X2,X1,X3)),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,X2)))). 2.93/3.10 cnf(i_0_5850, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),esk392_3(X3,X2,X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3))))). 2.93/3.10 cnf(i_0_2936, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk169_2(X2,X1)))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_1924, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_7148, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_4238, plain, (c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))=c_List_Olist_ONil(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_5444, plain, (hAPP(X1,esk369_4(X1,X2,X3,X4))=c_Groups_Ozero__class_Ozero(X4)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X3,X4),X1),X2)!=c_Groups_Ozero__class_Ozero(X4)|~class_Rings_Ono__zero__divisors(X4)|~class_Rings_Ocomm__semiring__1(X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 2.93/3.10 cnf(i_0_3403, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk214_4(X3,X2,X4,X1)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4)),X2),X3)))). 2.93/3.10 cnf(i_0_3979, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk272_4(X3,X2,X4,X1)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4)),X2),X3)))). 2.93/3.10 cnf(i_0_3402, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),esk214_4(X2,X3,X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(X4,X1)),X3),X2)))). 2.93/3.10 cnf(i_0_66, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Obutlast(X1,X3))|X3=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_3788, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))=X2|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_1561, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_7455, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1582, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))=hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Obutlast(X1,X3))|X3=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_3980, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),esk272_4(X2,X3,X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(X4,X1)),X3),X2)))). 2.93/3.10 cnf(i_0_6664, plain, (X1=c_List_Olist_ONil(X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),X1),c_List_Olist_ONil(X2))),c_List_Olistrel(X2,X3))))). 2.93/3.10 cnf(i_0_309, plain, (c_List_Olist_ONil(X1)=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olistrel(X1,X3))))). 2.93/3.10 cnf(i_0_5353, plain, (hAPP(c_Finite__Set_Ocard(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),esk362_2(X2,X1)),X2)))). 2.93/3.10 cnf(i_0_1780, plain, (X1=hAPP(c_Nat_OSuc,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_6245, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_7188, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2)))). 2.93/3.10 cnf(i_0_2828, plain, (hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)!=c_List_Opartition(X1,X4,X5)|~hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X4,X6)))). 2.93/3.10 cnf(i_0_6601, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Fun_Oinj__on(X4,X5,X3,X6)|~hBOOL(hAPP(hAPP(c_member(X4),X2),X6))|~hBOOL(hAPP(hAPP(c_member(X4),X1),X6)))). 2.93/3.10 cnf(i_0_5115, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Odrop(X1),X2),X3))=c_List_Olast(X1,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.10 cnf(i_0_663, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(c_Nat_OSuc,X3),X4)=c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,X3,hAPP(X2,X4))|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_4151, plain, (c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),c_Orderings_Oord__class_Oless(X1)))|~class_Orderings_Owellorder(X1))). 2.93/3.10 cnf(i_0_6806, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Big__Operators_Olinorder__class_OMax(X1,X3)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3459, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Big__Operators_Olinorder__class_OMin(X1,X2)),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_3802, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3))))). 2.93/3.10 cnf(i_0_3686, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_6242, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2840, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_427, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_6723, plain, (hAPP(hAPP(X1,X2),X3)=X4|hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3))|~c_Big__Operators_Ocomm__monoid__big(X6,X5,X7,X4,X1))). 2.93/3.10 cnf(i_0_1676, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(X3,X4)|c_Option_Ooption_ONone(X1)=hAPP(X3,X4)|hAPP(c_Option_Ooption_OSome(X1),X2)!=hAPP(c_Map_Omap__add(X5,X1,X6,X3),X4))). 2.93/3.10 cnf(i_0_254, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_1070, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X2)=X3|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_4487, plain, (c_List_Olist_ONil(X1)=X2|hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_List_Ohd(X1),X2)),hAPP(c_List_Oset(X1),X2))))). 2.93/3.10 cnf(i_0_6190, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4))))). 2.93/3.10 cnf(i_0_1774, plain, (hBOOL(hAPP(c_Divides_Odivmod__int__rel(X1,X2),c_Divides_OnegDivAlg(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_1814, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk110_2(X2,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))))). 2.93/3.10 cnf(i_0_3048, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),X3)))). 2.93/3.10 cnf(i_0_2618, plain, (hBOOL(hAPP(c_Divides_Odivmod__int__rel(X1,X2),c_Divides_OposDivAlg(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_5499, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)=X3|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3)|~class_Rings_Oidom(X1))). 2.93/3.10 cnf(i_0_7181, plain, (X1=X2|hAPP(hAPP(c_List_Oappend(X3),X4),hAPP(hAPP(c_List_Olist_OCons(X3),X2),c_List_Olist_ONil(X3)))!=hAPP(hAPP(c_List_Oappend(X3),X5),hAPP(hAPP(c_List_Olist_OCons(X3),X1),c_List_Olist_ONil(X3))))). 2.93/3.10 cnf(i_0_7180, plain, (X1=X2|hAPP(hAPP(c_List_Oappend(X3),X1),hAPP(hAPP(c_List_Olist_OCons(X3),X4),c_List_Olist_ONil(X3)))!=hAPP(hAPP(c_List_Oappend(X3),X2),hAPP(hAPP(c_List_Olist_OCons(X3),X5),c_List_Olist_ONil(X3))))). 2.93/3.10 cnf(i_0_6731, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_1550, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2))=c_Groups_Oone__class_Oone(X1)|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_7350, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),c_Orderings_Otop__class_Otop(X1)),X2)=c_Complete__Lattice_OInf__class_OInf(X1,X2)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_5713, plain, (hAPP(X1,esk387_1(X1))=hAPP(X1,esk388_1(X1))|c_Equiv__Relations_Oequivp(X2,X1)|hBOOL(hAPP(hAPP(X1,esk387_1(X1)),esk388_1(X1))))). 2.93/3.10 cnf(i_0_3989, plain, (hBOOL(hAPP(X1,esk273_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_3950, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))). 2.93/3.10 cnf(i_0_3345, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X2,X3))=hAPP(X2,X3)|~c_Finite__Set_Ofun__left__comm__idem(X4,X1,X2))). 2.93/3.10 cnf(i_0_5915, plain, (c_Fun_Oinj__on(X1,X2,X3,hAPP(c_Set_Oimage(X4,X1,X5),X6))|~c_Fun_Oinj__on(X4,X2,hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5),X6))). 2.93/3.10 cnf(i_0_1750, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),c_Orderings_Obot__class_Obot(X1)),X2)=c_Complete__Lattice_OSup__class_OSup(X1,X2)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2070, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_3025, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_5844, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_5298, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_1358, plain, (X1=X2|hAPP(hAPP(c_List_Onth(X3),X1),esk78_3(X3,X1,X2))!=hAPP(hAPP(c_List_Onth(X3),X2),esk78_3(X3,X1,X2))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X2))). 2.93/3.10 cnf(i_0_5886, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2))))). 2.93/3.10 cnf(i_0_5488, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(X1,X2)),c_Sum__Type_OPlus(X1,X2,X3,X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_6448, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_4303, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_7112, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))=c_Groups_Osgn__class_Osgn(X1,X2)|c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Groups_Osgn__if(X1))). 2.93/3.10 cnf(i_0_5321, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),esk359_3(X3,X2,X1)),esk360_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_787, plain, (c_Fun_Oinj__on(X1,X2,c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(c_Set_Oimage(X2,X1,X4),X3))|~c_Fun_Oinj__on(X2,X1,X4,X3))). 2.93/3.10 cnf(i_0_6383, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),esk431_5(X3,X4,X5,X2,X1),X4,X3)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X5,X4,X3)|~hBOOL(hAPP(X1,X5)))). 2.93/3.10 cnf(i_0_3075, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_7292, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_1486, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6828, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),esk456_5(X3,X4,X5,X2,X1),X4,X3)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X5,X4,X3)|~hBOOL(hAPP(X1,X5)))). 2.93/3.10 cnf(i_0_2291, plain, (hBOOL(hAPP(hAPP(X1,X2),esk134_5(X3,X4,X1,X5,X2)))|~c_Wellfounded_Omax__extp(X5,X1,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X5),X2),X4)))). 2.93/3.10 cnf(i_0_607, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6944, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X2)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_1333, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X1)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_3628, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_2899, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_2901, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_2940, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X2,X1,X3),X5),X4)))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_5295, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Typedef_Otype__definition(X4,X5,X6,X3,X7)|~hBOOL(hAPP(hAPP(c_member(X5),X2),X7))|~hBOOL(hAPP(hAPP(c_member(X5),X1),X7)))). 2.93/3.10 cnf(i_0_6769, plain, (hBOOL(hAPP(c_List_Odistinct(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)))|~hBOOL(hAPP(c_List_Odistinct(X2),X4)))). 2.93/3.10 cnf(i_0_4752, plain, (hBOOL(hAPP(c_List_Odistinct(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.93/3.10 cnf(i_0_1311, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(c_Relation_Oconverse(X1,X1),X2)),X2)=X2|~c_Equiv__Relations_Oequiv(X1,X3,X2))). 2.93/3.10 cnf(i_0_868, plain, (hBOOL(hAPP(X1,esk44_3(X2,X1,X3)))|hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,X2)))). 2.93/3.10 cnf(i_0_5383, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),esk364_3(X3,X2,X1)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Complete__Lattice_OSup__class_OSup(X1,X3))))). 2.93/3.10 cnf(i_0_5382, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk364_3(X2,X3,X1)),X2))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Complete__Lattice_OSup__class_OSup(X1,X2))))). 2.93/3.10 cnf(i_0_3846, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk262_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X1)),X2),X2))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_4663, plain, (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X2|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X2)))). 2.93/3.10 cnf(i_0_76, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2))),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.10 cnf(i_0_6582, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),esk445_3(X2,X3,X1)),X2))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Complete__Lattice_OInf__class_OInf(X1,X3)),X2)))). 2.93/3.10 cnf(i_0_6581, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk445_3(X2,X3,X1)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Complete__Lattice_OInf__class_OInf(X1,X3)),X2)))). 2.93/3.10 cnf(i_0_4698, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X1),X2))|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Ois__nat(X1)|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X2))))). 2.93/3.10 cnf(i_0_5505, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_1463, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,esk84_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_7317, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,esk495_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_1954, plain, (c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2))=hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_6386, plain, (X1=X2|c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),esk431_5(X1,X5,X2,X4,X3),X5,X1)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),X2,X5,X1))). 2.93/3.10 cnf(i_0_6825, plain, (X1=X2|c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),esk456_5(X1,X5,X2,X4,X3),X5,X1)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),X2,X5,X1))). 2.93/3.10 cnf(i_0_3115, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X4)|hAPP(hAPP(c_List_Omap(X1,X5),X6),X2)!=hAPP(hAPP(c_List_Omap(X3,X5),X7),X4))). 2.93/3.10 cnf(i_0_126, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)))))). 2.93/3.10 cnf(i_0_5145, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_2567, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk147_4(X2,X3,X4,X1)),X3))|hAPP(c_Nat_OSuc,X2)!=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X4),X3))). 2.93/3.10 cnf(i_0_3528, plain, (hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))=hAPP(X3,hAPP(c_List_Ohd(X2),X4))|X4=c_List_Olist_ONil(X2))). 2.93/3.10 cnf(i_0_2570, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))))). 2.93/3.10 cnf(i_0_5463, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))))). 2.93/3.10 cnf(i_0_7306, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))))). 2.93/3.10 cnf(i_0_5819, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))))). 2.93/3.10 cnf(i_0_3819, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),c_Big__Operators_Olinorder__class_OMin(X2,X1)),X1))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.10 cnf(i_0_6081, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),c_Big__Operators_Olinorder__class_OMax(X1,X2)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_897, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_2413, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_496, plain, (hAPP(hAPP(c_List_Onth(X1),X2),esk26_2(X2,X1))=hAPP(hAPP(c_List_Onth(X1),X2),esk27_2(X2,X1))|hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.93/3.10 cnf(i_0_18, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X5)))). 2.93/3.10 cnf(i_0_819, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X5)))). 2.93/3.10 cnf(i_0_201, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_905, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1343, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_1122, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2))=hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_2732, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk160_3(X2,X1,X3)),X3))|~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 2.93/3.10 cnf(i_0_5024, plain, (hBOOL(hAPP(hAPP(X1,esk333_5(X2,X1,X3,X4,X5)),X2))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X4,tc_HOL_Obool)),X3),X1),X2)))). 2.93/3.10 cnf(i_0_385, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(X3,hAPP(c_Nat_OSuc,esk23_3(X3,X2,X1)))),hAPP(X3,esk23_3(X3,X2,X1)))),X2)))). 2.93/3.10 cnf(i_0_1212, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(X3,hAPP(c_Nat_OSuc,esk66_3(X2,X1,X3)))),hAPP(X3,esk66_3(X2,X1,X3)))),X2)))). 2.93/3.10 cnf(i_0_3967, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2))=hAPP(c_SetInterval_Oord__class_OatLeast(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_7362, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2))=hAPP(c_SetInterval_Oord__class_OlessThan(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_1259, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2))=hAPP(c_SetInterval_Oord__class_OatMost(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_1308, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)!=c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1))). 2.93/3.10 cnf(i_0_4193, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2),X3),hAPP(c_COMBK(X2,X1),X4))=X4|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Complete__Lattice_Ocomplete__lattice(X2))). 2.93/3.10 cnf(i_0_1838, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X3)|~class_Divides_Oring__div(X1))). 2.93/3.10 cnf(i_0_4540, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X2,X3))=hAPP(X2,X3)|~c_Finite__Set_Ofolding__idem(X4,X1,X2,X5))). 2.93/3.10 cnf(i_0_4971, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))))). 2.93/3.10 cnf(i_0_3512, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_1673, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(c_Map_Omap__add(X3,X1,X4,X5),X6)|hAPP(c_Option_Ooption_OSome(X1),X2)!=hAPP(X5,X6))). 2.93/3.10 cnf(i_0_450, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))))). 2.93/3.10 cnf(i_0_2093, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))))). 2.93/3.10 cnf(i_0_1341, plain, (c_Nitpick_Onorm__frac(c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_4309, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2),X3),hAPP(c_COMBK(X2,X1),X4))=X4|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Complete__Lattice_Ocomplete__lattice(X2))). 2.93/3.10 cnf(i_0_2894, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(c_List_Ofilter(X1,X2),X4)|hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_1315, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))))). 2.93/3.10 cnf(i_0_6154, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),esk413_2(X1,X2)),c_Int_OInteg))|hBOOL(hAPP(X2,X1)))). 2.93/3.10 cnf(i_0_11, plain, (hAPP(hAPP(c_Set_Oinsert(X1),esk1_3(X2,X3,X1)),esk2_3(X2,X3,X1))=X3|hAPP(c_Nat_OSuc,X2)!=hAPP(c_Finite__Set_Ocard(X1),X3))). 2.93/3.10 cnf(i_0_6247, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_1511, plain, (c_List_Oremove1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Oremove1(X1,X2,X4))|X3=X2)). 2.93/3.10 cnf(i_0_1302, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(X4),X2),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(X5,X4,X1)),X2),X3)))). 2.93/3.10 cnf(i_0_817, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|~hBOOL(hAPP(X2,hAPP(hAPP(c_List_Onth(X1),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))))))). 2.93/3.10 cnf(i_0_6031, plain, (hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))|hBOOL(hAPP(X1,esk409_3(X1,X3,X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_6375, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_3734, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_104, plain, (c_Map_Omap__add(X1,X2,X3,X4)=c_Map_Omap__add(X1,X2,X4,X3)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X3)),c_Map_Odom(X1,X2,X4))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_1942, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X2),X1)),hAPP(c_List_Oset(tc_prod(X3,X3)),hAPP(hAPP(c_List_Ozip(X3,X3),X4),X4)))))). 2.93/3.10 cnf(i_0_4218, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk288_3(X2,X3,X1)),X3))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_2356, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Odrop(X1),X4),X3)))))). 2.93/3.10 cnf(i_0_6753, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_List_Omonoid__add__class_Olistsum(X1),X3))|~class_Groups_Omonoid__add(X1))). 2.93/3.10 cnf(i_0_7331, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_545, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_5986, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Otake(X1),X4),X3)))))). 2.93/3.10 cnf(i_0_4780, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X2)),c_List_Olists(X1,X3))))). 2.93/3.10 cnf(i_0_956, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X4),X2)),c_List_Olists(X1,X3))))). 2.93/3.10 cnf(i_0_955, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X4)),c_List_Olists(X1,X3))))). 2.93/3.10 cnf(i_0_1681, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X1)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_2151, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))|hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X5)))). 2.93/3.10 cnf(i_0_4216, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(X2,X4)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|esk289_4(X2,X3,X1,X4)!=X4|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_6499, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))=c_Big__Operators_Olattice__class_OInf__fin(X1,X3)|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4376, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))=c_Big__Operators_Olattice__class_OSup__fin(X1,X3)|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5274, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olinorder__class_OMin(X1,X3))=c_Big__Operators_Olinorder__class_OMin(X1,X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3009, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_6166, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk414_1(X1)))|hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.93/3.10 cnf(i_0_6644, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olinorder__class_OMax(X1,X3))=c_Big__Operators_Olinorder__class_OMax(X1,X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3072, plain, (hBOOL(hAPP(X1,esk175_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_6971, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X6),X1))|~hBOOL(hAPP(hAPP(X6,X2),X3)))). 2.93/3.10 cnf(i_0_3573, plain, (c_List_Olinorder__class_Osorted(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk228_2(X2,X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_6476, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_6268, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_7232, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1336, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)|~class_Lattices_Osemilattice__inf(X1))). 2.93/3.10 cnf(i_0_4921, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X3,X4,X5)))|~hBOOL(hAPP(hAPP(X3,X2),X5))|~hBOOL(hAPP(hAPP(X3,X4),X2)))). 2.93/3.10 cnf(i_0_6819, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OgreaterThanLessThan(X1,X3,X4,X5)))|~hBOOL(hAPP(hAPP(X3,X2),X5))|~hBOOL(hAPP(hAPP(X3,X4),X2)))). 2.93/3.10 cnf(i_0_5937, plain, (c_Fun_Oinj__on(X1,tc_Option_Ooption(X2),c_Map_Omap__add(X1,X2,X3,X4),c_Map_Odom(X1,X2,X4))|~c_Fun_Oinj__on(X1,tc_Option_Ooption(X2),X4,c_Map_Odom(X1,X2,X4)))). 2.93/3.10 cnf(i_0_5735, plain, (c_Transitive__Closure_Ortrancl(X1,X2)=c_Transitive__Closure_Ortrancl(X1,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),c_Transitive__Closure_Ortrancl(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_6726, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_6343, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_1451, plain, (c_Orderings_Oorder_Omono(tc_Nat_Onat,X1,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),esk82_2(X2,X1)),esk83_2(X2,X1)))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_142, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))=X3|~class_Groups_Ogroup__add(X1))). 2.93/3.10 cnf(i_0_7294, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_6707, plain, (c_Equiv__Relations_Ocongruent(X1,X2,X3,hAPP(X4,X5))|~c_Equiv__Relations_Ocongruent2(X6,X1,X2,X7,X3,X4)|~c_Equiv__Relations_Oequiv(X6,X8,X7)|~hBOOL(hAPP(hAPP(c_member(X6),X5),X8)))). 2.93/3.10 cnf(i_0_6131, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))))). 2.93/3.10 cnf(i_0_5301, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Map_Odom(X1,X3,X4))=c_Map_Odom(X1,X3,X4)|hAPP(X4,X2)!=hAPP(c_Option_Ooption_OSome(X3),X5))). 2.93/3.10 cnf(i_0_2691, plain, (c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|hAPP(c_Set_Oimage(X1,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_3704, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_2870, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))=X3|~class_Groups_Ogroup__add(X1))). 2.93/3.10 cnf(i_0_6193, plain, (X1=hAPP(hAPP(hAPP(c_Natural_Oupdate,X2),X3),hAPP(X4,X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(X3,X4)),X2),X1)))). 2.93/3.10 cnf(i_0_2477, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)|~class_Lattices_Osemilattice__sup(X1))). 2.93/3.10 cnf(i_0_2313, plain, (hAPP(c_Set_Oimage(X1,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))|~c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_7339, plain, (c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~c_Fun_Oinj__on(X1,X2,X3,X5)|~c_Fun_Oinj__on(X1,X2,X3,X4))). 2.93/3.10 cnf(i_0_1335, plain, (X1=X2|hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X3,tc_Option_Ooption(X4)),X5),X6),hAPP(c_Option_Ooption_OSome(X4),X1))!=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X3,tc_Option_Ooption(X4)),X7),X6),hAPP(c_Option_Ooption_OSome(X4),X2)))). 2.93/3.10 cnf(i_0_4965, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk326_2(X1,X2))=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))))). 2.93/3.10 cnf(i_0_2817, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_5437, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X2))))). 2.93/3.10 cnf(i_0_3731, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)),X2)))). 2.93/3.10 cnf(i_0_3486, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Set_OPow(X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_1381, plain, (c_List_OtakeWhile(X1,X2,X3)=X3|hBOOL(hAPP(hAPP(c_member(X1),esk80_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_243, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_2493, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)))). 2.93/3.10 cnf(i_0_6855, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_878, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_5340, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3))))). 2.93/3.10 cnf(i_0_1219, plain, (X1=c_List_Olist_ONil(X2)|hAPP(c_List_Ofoldl(tc_List_Olist(X2),tc_List_Olist(X2),c_List_Oappend(X2),c_List_Olist_ONil(X2)),X3)!=c_List_Olist_ONil(X2)|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X1),hAPP(c_List_Oset(tc_List_Olist(X2)),X3))))). 2.93/3.10 cnf(i_0_2520, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2983, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_275, plain, (c_SMT_Oz3div(X1,X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_2127, plain, (c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_OtakeWhile(X1,X2,X4))|~hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_257, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk17_3(X2,X3,X1)),X3))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3232, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(X1,esk187_3(X1,X3,X2)),esk188_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_4211, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(X1,esk286_3(X1,X3,X2)),esk287_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_3237, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3236, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_3030, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)|~class_Lattices_Oab__semigroup__idem__mult(X1))). 2.93/3.10 cnf(i_0_5036, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(X1,esk334_3(X1,X3,X2)),esk335_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_6332, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(X1,esk427_3(X1,X3,X2)),esk428_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_7068, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(X1,esk475_3(X1,X3,X2)),esk476_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_5556, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_4141, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.10 cnf(i_0_1244, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_1648, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_5583, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X3)))). 2.93/3.10 cnf(i_0_5387, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_2935, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_3409, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),c_List_Oremove1(X2,X4,X5)))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1438, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_3251, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4265, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_7311, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_List_Onth(X3),X4),esk493_3(X1,X4,X3))))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 2.93/3.10 cnf(i_0_3305, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk204_4(X3,X2,X1,X4)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X4,X1)),X2),X3))|~hBOOL(hAPP(X4,X2)))). 2.93/3.10 cnf(i_0_3519, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk221_4(X3,X2,X1,X4)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X4,X1)),X2),X3))|~hBOOL(hAPP(X4,X2)))). 2.93/3.10 cnf(i_0_7225, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Osgn__class_Osgn(X1,X3))=c_Groups_Osgn__class_Osgn(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_3721, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk253_1(X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,X2)))). 2.93/3.10 cnf(i_0_854, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X3),X2))=X3|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_5726, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),X3)=X2|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))). 2.93/3.10 cnf(i_0_5412, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oring(X1))). 2.93/3.10 cnf(i_0_1083, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3))))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3)))))). 2.93/3.10 cnf(i_0_1669, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1))),c_Groups_Ozero__class_Ozero(X2))))). 2.93/3.10 cnf(i_0_2306, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_5494, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_5575, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_3114, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_6786, plain, (~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))))))). 2.93/3.10 cnf(i_0_1670, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_6717, plain, (c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool))=X2|c_Fun_Oinj__on(X1,X3,X4,c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2))|~c_Fun_Oinj__on(X1,X3,X4,esk451_4(X4,X3,X1,X2)))). 2.93/3.10 cnf(i_0_3308, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X1),esk204_4(X2,X1,X3,X4)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X4,X3)),X1),X2)))). 2.93/3.10 cnf(i_0_3522, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X1),esk221_4(X2,X1,X3,X4)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X4,X3)),X1),X2)))). 2.93/3.10 cnf(i_0_648, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_4252, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_4666, plain, (c_List_Osublist(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)),X3)=c_List_Olist_ONil(X1)|hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_3891, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_1675, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(X3,X4)|hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(X5,X4)|hAPP(c_Option_Ooption_OSome(X1),X2)!=hAPP(c_Map_Omap__add(X6,X1,X3,X5),X4))). 2.93/3.10 cnf(i_0_499, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk26_2(X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X1)))|hBOOL(hAPP(c_List_Odistinct(X2),X1)))). 2.93/3.10 cnf(i_0_2307, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_4289, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_3108, plain, (hAPP(hAPP(c_List_Oappend(X1),c_List_Obutlast(X1,X2)),hAPP(hAPP(c_List_Olist_OCons(X1),c_List_Olast(X1,X2)),c_List_Olist_ONil(X1)))=X2|X2=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_498, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk27_2(X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X1)))|hBOOL(hAPP(c_List_Odistinct(X2),X1)))). 2.93/3.10 cnf(i_0_3036, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))|~class_Rings_Oring(X1))). 2.93/3.10 cnf(i_0_6441, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oring(X1))). 2.93/3.10 cnf(i_0_6739, plain, (c_Equiv__Relations_Ocongruent(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk453_4(X4,X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_5261, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_1045, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_2711, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_5404, plain, (hAPP(c_Set_Oimage(X1,X2,X3),X4)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|c_Fun_Oinj__on(X2,X1,esk366_4(X4,X1,X2,hAPP(c_Set_Oimage(X1,X2,X3),X4)),hAPP(c_Set_Oimage(X1,X2,X3),X4)))). 2.93/3.10 cnf(i_0_2177, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_4350, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.93/3.10 cnf(i_0_3407, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3)))). 2.93/3.10 cnf(i_0_657, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3)))). 2.93/3.10 cnf(i_0_808, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(c_List_Otl(X1),X2)),X3)=hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))|c_List_Olist_ONil(X1)=X2)). 2.93/3.10 cnf(i_0_5690, plain, (hAPP(c_Fun_Othe__inv__into(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(X3,X4))=X4|~c_Fun_Oinj__on(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_5015, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_68, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X2),X1))|~class_Orderings_Olinorder(X3))). 2.93/3.10 cnf(i_0_7415, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3874, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_1400, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_660, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3)))). 2.93/3.10 cnf(i_0_3744, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_6920, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6250, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6889, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3)))). 2.93/3.10 cnf(i_0_489, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2560, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4060, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_5075, plain, (c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2))|~c_FunDef_Oreduction__pair(X1,X2))). 2.93/3.10 cnf(i_0_6051, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X4),X2),X5)),hAPP(hAPP(c_Product__Type_OSigma(X1,X4),X3),X6))))). 2.93/3.10 cnf(i_0_1367, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))))|~class_Rings_Olinordered__semidom(X1))). 2.93/3.10 cnf(i_0_4112, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6080, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2)=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_7141, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1))))). 2.93/3.10 cnf(i_0_2515, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1))))). 2.93/3.10 cnf(i_0_1157, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Oordered__comm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Groups_Ozero__class_Ozero(X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Groups_Ozero__class_Ozero(X2)),X1)))). 2.93/3.10 cnf(i_0_2160, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),X2)))). 2.93/3.10 cnf(i_0_6492, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1))),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 2.93/3.10 cnf(i_0_4824, plain, (X1=c_List_Olist_ONil(X2)|hBOOL(hAPP(hAPP(c_member(X2),esk314_3(X3,X1,X2)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X1),c_List_Olists(X2,X3))))). 2.93/3.10 cnf(i_0_1158, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Oordered__comm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Groups_Ozero__class_Ozero(X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Groups_Ozero__class_Ozero(X2)),X1)))). 2.93/3.10 cnf(i_0_3501, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1)),c_Groups_Ozero__class_Ozero(X2))))). 2.93/3.10 cnf(i_0_6665, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1)),c_Groups_Ozero__class_Ozero(X2))))). 2.93/3.10 cnf(i_0_3481, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X2)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X2)))). 2.93/3.10 cnf(i_0_6845, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_7045, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X2)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X2)))). 2.93/3.10 cnf(i_0_3482, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_7044, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_1491, plain, (hAPP(c_List_Oset(X1),c_List_Olinorder__class_Oinsort__insert__key(X1,X1,c_COMBI(X1),X2,X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_5640, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=X3|hBOOL(hAPP(hAPP(c_member(X1),esk385_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_6735, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4)))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_1001, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4)))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_1693, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4)))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2652, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4)))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_1623, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3)))|hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.10 cnf(i_0_6312, plain, (c_List_Olinorder__class_Oinsort__insert__key(X1,X2,X3,X4,X5)=X5|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_List_Oset(X1),X5)))))). 2.93/3.10 cnf(i_0_2290, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk134_5(X2,X3,X4,X1,X5)),X2))|~c_Wellfounded_Omax__extp(X1,X4,X3,X2)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X3)))). 2.93/3.10 cnf(i_0_1938, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.10 cnf(i_0_5089, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_7126, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.10 cnf(i_0_2495, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4085, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk281_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1))))). 2.93/3.10 cnf(i_0_5513, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6912, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_7307, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))))). 2.93/3.10 cnf(i_0_3707, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_4038, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4084, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk281_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_2745, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))|~hBOOL(hAPP(X2,esk162_3(X1,X3,X2)))|~hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_1393, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X2),X1))|~class_Rings_Olinordered__idom(X3))). 2.93/3.10 cnf(i_0_5462, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))))). 2.93/3.10 cnf(i_0_1006, plain, (hAPP(c_Set_Oimage(X1,X1,X2),X3)=X3|~c_Fun_Oinj__on(X1,X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X1,X1,X2),X3)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4891, plain, (hAPP(hAPP(c_List_Otake(X1),X2),c_List_Obutlast(X1,X3))=hAPP(hAPP(c_List_Otake(X1),X2),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.10 cnf(i_0_6122, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2777, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))|~hBOOL(hAPP(X2,esk164_3(X1,X3,X2)))|~hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_5097, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X1),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2969, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2979, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_2818, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_413, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_2265, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),esk128_3(X2,X3,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2))|~class_Fields_Olinordered__field__inverse__zero(X1))). 2.93/3.10 cnf(i_0_3826, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),esk257_3(X2,X3,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2))|~class_Fields_Olinordered__field(X1))). 2.93/3.10 cnf(i_0_4125, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_2350, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4)),X5)=hAPP(hAPP(c_List_Onth(X1),X2),X5)|X3=X5)). 2.93/3.10 cnf(i_0_5240, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk352_3(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X3),c_Relation_OId__on(X1,X2))))). 2.93/3.10 cnf(i_0_5730, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OgreaterThanAtMost(X1,X3,X4,X5,X6)))|~hBOOL(hAPP(hAPP(X3,X2),X6))|~hBOOL(hAPP(hAPP(X4,X5),X2)))). 2.93/3.10 cnf(i_0_5380, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X1,X3,X4,X5,X6)))|~hBOOL(hAPP(hAPP(X3,X5),X2))|~hBOOL(hAPP(hAPP(X4,X2),X6)))). 2.93/3.10 cnf(i_0_5998, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,tc_Nat_Onat),X1),X4)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X3),X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.10 cnf(i_0_2264, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),esk128_3(X2,X3,X1)),c_Groups_Oone__class_Oone(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2))|~class_Fields_Olinordered__field__inverse__zero(X1))). 2.93/3.10 cnf(i_0_1446, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_1447, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))))). 2.93/3.10 cnf(i_0_3246, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)|~class_Rings_Oring(X1))). 2.93/3.10 cnf(i_0_3467, plain, (hAPP(X1,X2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X3,tc_Nat_Onat),X1),X4)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X3),X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.10 cnf(i_0_4233, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6649, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X4)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2))))). 2.93/3.10 cnf(i_0_5754, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))))). 2.93/3.10 cnf(i_0_6862, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))))). 2.93/3.10 cnf(i_0_3657, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))))). 2.93/3.10 cnf(i_0_7060, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))))). 2.93/3.10 cnf(i_0_4869, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_3248, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk190_4(X2,X3,X4,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X3),X2))))). 2.93/3.10 cnf(i_0_3565, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,X1))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))))). 2.93/3.10 cnf(i_0_6292, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1632, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6800, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_3798, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_473, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5))=X3|hAPP(X3,X4)!=hAPP(c_Option_Ooption_OSome(X2),X5))). 2.93/3.10 cnf(i_0_2746, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))|~hBOOL(hAPP(X2,esk162_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_4526, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_5023, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk333_5(X2,X3,X4,X5,X1)),X4))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X5,tc_HOL_Obool)),X4),X3),X2)))). 2.93/3.10 cnf(i_0_1526, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4145, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7049, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X1,X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_2778, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))|~hBOOL(hAPP(X2,esk164_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_885, plain, (c_List_Olast(tc_Nat_Onat,c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_1629, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,esk99_2(X2,X1))))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_1868, plain, (hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3)=X3|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_7278, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omin(X1)),X2),X3)=c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3729, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omax(X1)),X2),X3)=c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_164, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4677, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X1),c_COMBI(X1)),hAPP(c_List_Oset(X1),X2))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),X2)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.93/3.10 cnf(i_0_2091, plain, (hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(X1,X2))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_5781, plain, (hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(X1,X2))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_6033, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),esk409_3(X2,X3,X1)))|hBOOL(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_892, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X5,tc_HOL_Obool)),X6),X1),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),X6)))). 2.93/3.10 cnf(i_0_516, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~c_Fun_Oinj__on(X1,X4,X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~hBOOL(hAPP(hAPP(c_member(X4),hAPP(X5,X2)),hAPP(c_Set_Oimage(X1,X4,X5),X3))))). 2.93/3.10 cnf(i_0_3330, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_3742, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_3745, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_768, plain, (hAPP(c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2)),X3)=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X2),X3)),X3)))). 2.93/3.10 cnf(i_0_3637, plain, (hAPP(c_Set_Oimage(X1,X2,X3),esk240_5(X4,X3,X1,X5,X2))=X5|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X5),hAPP(c_Set_Oimage(X1,X2,X3),X4))))). 2.93/3.10 cnf(i_0_31, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)))|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_1476, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_558, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|hBOOL(hAPP(hAPP(X4,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_fun(X6,tc_HOL_Obool))),X1),X4),X2),X3)))). 2.93/3.10 cnf(i_0_5625, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3))=c_SetInterval_Oord__class_OatLeastAtMost(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_3687, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3))=c_SetInterval_Oord__class_OgreaterThanLessThan(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_5849, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk392_3(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_member(X1),X3),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.10 cnf(i_0_4817, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(c_List_Ofilter(X1,hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_5137, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X2)),X1))|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X3,X1),X2)))). 2.93/3.10 cnf(i_0_7323, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Olist__update(X1,X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))=X3|X2=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_2829, plain, (hBOOL(hAPP(X1,X2))|hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X4),X5)!=c_List_Opartition(X3,X1,X6)|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 2.93/3.10 cnf(i_0_1025, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(c_Finite__Set_Ocard(X1),X3)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5281, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2733, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),esk160_3(X2,X1,X4))),X2))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X4)))). 2.93/3.10 cnf(i_0_1135, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_2078, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk119_3(X2,X3,X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Complete__Lattice_OInf__class_OInf(X1,X2)))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_6205, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk419_3(X2,X3,X1)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Complete__Lattice_OSup__class_OSup(X1,X3)),X2))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_1162, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X4))=X2|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X4)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_3008, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=c_Groups_Ozero__class_Ozero(X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_7187, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),esk485_3(X3,X2,X1)),X2)))). 2.93/3.10 cnf(i_0_617, plain, (c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))|hBOOL(hAPP(X3,esk33_4(X1,X4,X2,X3))))). 2.93/3.10 cnf(i_0_5226, plain, (hAPP(X1,X2)=hAPP(X1,X3)|~c_Equiv__Relations_Ocongruent(X4,X5,X6,X1)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),X2),X3)),X6)))). 2.93/3.10 cnf(i_0_3299, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X3,tc_HOL_Obool)),X5),X6)))|~hBOOL(hAPP(X1,esk203_5(X1,X6,X5,X4,X3))))). 2.93/3.10 cnf(i_0_7186, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),esk486_3(X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_4898, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_4830, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X3),X2)))). 2.93/3.10 cnf(i_0_4661, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))|~c_Nitpick_Orefl_H(X1,X3))). 2.93/3.10 cnf(i_0_3136, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),hAPP(c_Int_Oring__1__class_Oof__int(X1),X3)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_1152, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_622, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X3),X4))|~class_Orderings_Oord(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(X3,esk34_4(X4,X3,X1,X2))),hAPP(X4,esk34_4(X4,X3,X1,X2)))))). 2.93/3.10 cnf(i_0_161, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=c_List_Olist_ONil(X1)|hBOOL(hAPP(hAPP(c_member(X1),esk10_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_6793, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),hAPP(c_Int_Oring__1__class_Oof__int(X1),X3)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_6921, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6246, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_5014, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_2079, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Complete__Lattice_OInf__class_OInf(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X4)))). 2.93/3.10 cnf(i_0_4949, plain, (c_List_Otranspose(X1,X2)=c_List_Olist_ONil(tc_List_Olist(X1))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk325_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2))))). 2.93/3.10 cnf(i_0_2020, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2021, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.10 cnf(i_0_1175, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3))|~class_Power_Opower(X1))). 2.93/3.10 cnf(i_0_6206, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Complete__Lattice_OSup__class_OSup(X1,X4)),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4222, plain, (c_Fun_Oinj__on(X1,X2,hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5),X6)|~c_Fun_Oinj__on(X3,X2,X4,hAPP(c_Set_Oimage(X1,X3,X5),X6))|~c_Fun_Oinj__on(X1,X3,X5,X6))). 2.93/3.10 cnf(i_0_4122, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_1292, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5)))|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 2.93/3.10 cnf(i_0_1108, plain, (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,esk60_4(X3,X4,X2,X1),X3)|~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X4,X3))). 2.93/3.10 cnf(i_0_2475, plain, (X1=X2|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X2))|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)!=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))). 2.93/3.10 cnf(i_0_4157, plain, (c_Fun_Oinj__on(X1,X2,esk284_4(X3,X2,X4,X1),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X4)),hAPP(c_Finite__Set_Ocard(X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_4215, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(X2,esk289_4(X2,X3,X1,X4))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(X2,X4)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7446, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),esk500_3(X3,X2,X1)))|~hBOOL(hAPP(X1,esk501_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_6225, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_4768, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_6859, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_888, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk46_2(X2,X1))))|hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,X2)))). 2.93/3.10 cnf(i_0_4099, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_359, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_7432, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk502_3(X3,X2,X1)),X3))|~hBOOL(hAPP(X1,esk499_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_3848, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X3),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X4),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X2),X3),X4)))). 2.93/3.10 cnf(i_0_1268, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Groups_Oone__class_Oone(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_1475, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),hAPP(c_COMBK(X1,X2),c_Groups_Ozero__class_Ozero(X1))),X3))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Omonoid__add(X1))). 2.93/3.10 cnf(i_0_933, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))=hAPP(c_List_Ofoldl(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_5343, plain, (c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))=hAPP(c_List_Ofoldl(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_5686, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),X3)|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_6228, plain, (c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))=hAPP(c_List_Ofoldl(X1,X1,c_Orderings_Oord__class_Omax(X1),X2),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_3154, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 2.93/3.10 cnf(i_0_4975, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(X4,esk327_4(X4,X1,X3,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_6593, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(X4,esk446_4(X4,X1,X3,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_3975, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))|hAPP(hAPP(c_Product__Type_OSigma(X4,X1),X3),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X4),X2))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X1),tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_4899, plain, (c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))=hAPP(c_List_Ofoldl(X1,X1,c_Orderings_Oord__class_Omin(X1),X2),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_6260, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_3853, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))|hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_3844, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),X3)|~class_Rings_Oring__1(X1))). 2.93/3.10 cnf(i_0_5486, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X4),X3))))). 2.93/3.10 cnf(i_0_2410, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X1),X4),X5)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(X5,esk142_5(X5,X4,X3,X2,X1)))))). 2.93/3.10 cnf(i_0_5155, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),X3),X4)),X5))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X4,esk344_5(X5,X4,X3,X2,X1))),X5)))). 2.93/3.10 cnf(i_0_6281, plain, (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)=hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_3730, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))))). 2.93/3.10 cnf(i_0_6361, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(X3,X4)|X5=X4|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X6,tc_Option_Ooption(X1)),X3),X5),hAPP(c_Option_Ooption_OSome(X1),X7)),X4)!=hAPP(c_Option_Ooption_OSome(X1),X2))). 2.93/3.10 cnf(i_0_6362, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(X3,X4)|X2=X5|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X6,tc_Option_Ooption(X1)),X3),X7),hAPP(c_Option_Ooption_OSome(X1),X5)),X4)!=hAPP(c_Option_Ooption_OSome(X1),X2))). 2.93/3.10 cnf(i_0_259, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(X2,X4)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|esk16_4(X2,X3,X1,X4)!=X4|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3978, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2)),X3),X4))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X2),X5),X4)))). 2.93/3.10 cnf(i_0_5438, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)))). 2.93/3.10 cnf(i_0_6712, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Big__Operators_Olattice__class_OInf__fin(X1,X2)),c_Big__Operators_Olattice__class_OSup__fin(X1,X2)))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_519, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_4299, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_5108, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(c_List_Ofilter(X2,X4),X5)))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_3847, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),esk262_3(X3,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X3),X3))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_4671, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_2457, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_4093, plain, (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)),X3)))). 2.93/3.10 cnf(i_0_1395, plain, (X1=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),X4),X3)),hAPP(c_List_Olexn(X2,X5),X1))))). 2.93/3.10 cnf(i_0_1396, plain, (X1=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),X3),X4)),hAPP(c_List_Olexn(X2,X5),X1))))). 2.93/3.10 cnf(i_0_3302, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(X4,X5)))|~hBOOL(hAPP(X1,esk201_5(X1,X4,X6,X7,X3)))|~hBOOL(hAPP(hAPP(c_member(X7),X5),X6)))). 2.93/3.10 cnf(i_0_6411, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_5369, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_4609, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_6901, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_3483, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X2))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.10 cnf(i_0_5454, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_2982, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))))). 2.93/3.10 cnf(i_0_3238, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))))). 2.93/3.10 cnf(i_0_4139, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)))). 2.93/3.10 cnf(i_0_120, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_3598, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X3,X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_1224, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X3,X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_131, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=c_List_Olist_ONil(X1)|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_7193, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)))). 2.93/3.10 cnf(i_0_2649, plain, (hAPP(c_Set_Oimage(X1,X2,c_Fun_Othe__inv__into(X2,X1,X3,X4)),hAPP(c_Set_Oimage(X2,X1,X4),X3))=X3|~c_Fun_Oinj__on(X2,X1,X4,X3))). 2.93/3.10 cnf(i_0_6091, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),X2)),c_Wellfounded_Ofinite__psubset(X1))))). 2.93/3.10 cnf(i_0_1674, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(c_Map_Omap__add(X3,X1,X4,X5),X6)|hAPP(c_Option_Ooption_OSome(X1),X2)!=hAPP(X4,X6)|c_Option_Ooption_ONone(X1)!=hAPP(X5,X6))). 2.93/3.10 cnf(i_0_7206, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_1921, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X3,X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_2834, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X3,X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_3443, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)))). 2.93/3.10 cnf(i_0_6065, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.10 cnf(i_0_3812, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))))). 2.93/3.10 cnf(i_0_1251, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.93/3.10 cnf(i_0_3376, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~class_Lattices_Oboolean__algebra(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.93/3.10 cnf(i_0_991, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),X2)))). 2.93/3.10 cnf(i_0_4934, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),X2)))). 2.93/3.10 cnf(i_0_2378, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5))=hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X5))|~class_Orderings_Olinorder(X2))). 2.93/3.10 cnf(i_0_5000, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_6550, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_3736, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4)),X3)=X4|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.10 cnf(i_0_7177, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6913, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_410, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_4664, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X1))|hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2)!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 2.93/3.10 cnf(i_0_3996, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_2987, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_7309, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_List_Onth(X2),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)))|~hBOOL(hAPP(X1,esk494_3(X1,X3,X2))))). 2.93/3.10 cnf(i_0_1760, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_4137, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_1620, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Hoare__Mirabelle_Otriple__valid(X4,X5,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X6),X7),X1))|~c_Natural_Oevaln(X7,X8,X5,X3)|~hBOOL(hAPP(hAPP(X6,X2),X8)))). 2.93/3.10 cnf(i_0_4754, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_5280, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_6418, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~c_Relation_Orefl__on(X1,X3,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),X4)))). 2.93/3.10 cnf(i_0_5992, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~c_Relation_Orefl__on(X1,X3,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)))). 2.93/3.10 cnf(i_0_6508, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~c_Equiv__Relations_Oequiv(X1,X3,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),X4)))). 2.93/3.10 cnf(i_0_6509, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~c_Equiv__Relations_Oequiv(X1,X3,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)))). 2.93/3.10 cnf(i_0_697, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))|~hBOOL(hAPP(hAPP(X4,X5),X6)))). 2.93/3.10 cnf(i_0_10, plain, (hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),X2))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))|hAPP(c_Finite__Set_Ocard(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 2.93/3.10 cnf(i_0_3865, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X4)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X4),X3)),X2)))). 2.93/3.10 cnf(i_0_5501, plain, (hAPP(X1,esk378_5(X2,X1,X3,X4,X5))=hAPP(c_Option_Ooption_OSome(X5),X4)|~hBOOL(hAPP(hAPP(c_member(X5),X4),c_Map_Oran(X3,X5,c_Map_Orestrict__map(X3,X5,X1,X2)))))). 2.93/3.10 cnf(i_0_5972, plain, (hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5))=hAPP(hAPP(c_Set_Oinsert(X1),X4),hAPP(c_List_Oset(X1),X5))|~class_Orderings_Olinorder(X2))). 2.93/3.10 cnf(i_0_696, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))|~hBOOL(hAPP(hAPP(X3,X5),X6)))). 2.93/3.10 cnf(i_0_760, plain, (c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),X1),X2)|hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk39_2(X1,X2)),X2)))). 2.93/3.10 cnf(i_0_1832, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_4029, plain, (X1=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(c_Int_Onumber__class_Onumber__of(X2),X3)),X4)|X4=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Int_Onumber__class_Onumber__of(X2),X3)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X1),X4)|~class_Fields_Ofield__inverse__zero(X2)|~class_Int_Onumber(X2))). 2.93/3.10 cnf(i_0_1406, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Oremove1(X1,X2,X3))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_5445, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk369_4(X2,X3,X1,X4)),X3))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X4),X2),X3)!=c_Groups_Ozero__class_Ozero(X4)|~class_Rings_Ono__zero__divisors(X4)|~class_Rings_Ocomm__semiring__1(X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3899, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_1254, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_7269, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4)))|~c_Fun_Oinj__on(X2,X1,X3,hAPP(c_List_Oset(X2),X4))|~hBOOL(hAPP(c_List_Odistinct(X2),X4)))). 2.93/3.10 cnf(i_0_7422, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_1144, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X1)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X4),X2)),hAPP(hAPP(c_Product__Type_OSigma(X5,X1),X6),X3))))). 2.93/3.10 cnf(i_0_5982, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_579, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_2100, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),X1),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),X1))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_6000, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),esk407_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5984, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X4))=hAPP(X3,X4)|~c_Finite__Set_Ofolding__one__idem(X5,X1,X3)|~hBOOL(hAPP(hAPP(c_member(X5),X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 2.93/3.10 cnf(i_0_3469, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),esk218_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5265, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3))))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3)))))). 2.93/3.10 cnf(i_0_1462, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk84_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.10 cnf(i_0_621, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X2,X3)),hAPP(X4,X3)))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1)),X2),X4)))). 2.93/3.10 cnf(i_0_6141, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))))). 2.93/3.10 cnf(i_0_7318, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk495_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.10 cnf(i_0_3456, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Wellfounded_Oaccp(X1,X2)),c_Wellfounded_Oaccp(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X3),X2)))). 2.93/3.10 cnf(i_0_2371, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Wellfounded_Oacc(X1,X2)),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),X2)))). 2.93/3.10 cnf(i_0_1284, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_6926, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk465_4(X2,X3,X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Set_Oimage(X1,X5,X3),X2))))). 2.93/3.10 cnf(i_0_5758, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),c_List_Olinorder__class_Oinsort__insert__key(X2,X1,X3,X4,X5)))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1345, plain, (c_Nitpick_Oless__frac(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),c_Nitpick_Oplus__frac(X1,X2,c_Nitpick_Ouminus__frac(X1,X3))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_5963, plain, (c_Nitpick_Oless__eq__frac(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),c_Nitpick_Oplus__frac(X1,X2,c_Nitpick_Ouminus__frac(X1,X3))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6389, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_3816, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_5516, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_5342, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Oone__class_Oone(X1)),X2)))). 2.93/3.10 cnf(i_0_6781, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4))|~class_Rings_Oidom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))))). 2.93/3.10 cnf(i_0_3554, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4))|~class_Rings_Oidom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))))). 2.93/3.10 cnf(i_0_20, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_899, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1627, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1139, plain, (hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3)=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 2.93/3.10 cnf(i_0_3606, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3)),X2))))). 2.93/3.10 cnf(i_0_522, plain, (hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X3,X4,X1),X5))=X5|~c_Fun_Oinj__on(X2,X3,X1,X4)|~hBOOL(hAPP(hAPP(c_member(X3),X5),hAPP(c_Set_Oimage(X2,X3,X1),X4))))). 2.93/3.10 cnf(i_0_3927, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),X2)),c_Wellfounded_Omax__ext(X1,X4))))). 2.93/3.10 cnf(i_0_7246, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_2165, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_6001, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_6554, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),X2))))). 2.93/3.10 cnf(i_0_3923, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),X3)),c_Wellfounded_Omax__ext(X1,X4))))). 2.93/3.10 cnf(i_0_4423, plain, (hAPP(X1,hAPP(X2,X3))=hAPP(X4,hAPP(X5,X3))|hAPP(c_Fun_Ocomp(X6,X7,X8,X1),X2)!=hAPP(c_Fun_Ocomp(X9,X7,X8,X4),X5))). 2.93/3.10 cnf(i_0_4063, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),X5)=hAPP(hAPP(X6,X5),X4)|~c_Finite__Set_Ofolding(X1,X2,X3,X6)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.10 cnf(i_0_2734, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(X1),esk159_3(X2,X1,X3)),esk157_2(X2,X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),esk157_2(X2,X1))))). 2.93/3.10 cnf(i_0_2799, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Set_OPow(X1),X3)))|~hBOOL(hAPP(c_Predicate_OPowp(X1,X3),X2)))). 2.93/3.10 cnf(i_0_7142, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_2516, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_3500, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_2141, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk122_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_6290, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|X3=X4|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1))). 2.93/3.10 cnf(i_0_5439, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),X4)=hAPP(hAPP(c_List_Omap(X1,X2),X5),X4)|hAPP(X3,esk368_5(X5,X4,X3,X2,X1))!=hAPP(X5,esk368_5(X5,X4,X3,X2,X1)))). 2.93/3.10 cnf(i_0_5636, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))))). 2.93/3.10 cnf(i_0_6666, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1372, plain, (hAPP(X1,esk79_3(X1,X2,X3))=c_Option_Ooption_ONone(X2)|hBOOL(hAPP(c_Finite__Set_Ofinite(X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),c_Map_Odom(X3,X2,X1))))). 2.93/3.10 cnf(i_0_1845, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))))). 2.93/3.10 cnf(i_0_2019, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4))))). 2.93/3.10 cnf(i_0_4040, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk276_3(X1,X2,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),X2),hAPP(hAPP(c_Relation_Orel__comp(X3,X3,X3),X1),c_Transitive__Closure_Ortrancl(X3,X1)))))). 2.93/3.10 cnf(i_0_2382, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X4))))). 2.93/3.10 cnf(i_0_6486, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.10 cnf(i_0_1804, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olists(X1,X2)),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_4745, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_5239, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk352_3(X2,X3,X1)),esk352_3(X2,X3,X1))=X3|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X3),c_Relation_OId__on(X1,X2))))). 2.93/3.10 cnf(i_0_2308, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))))). 2.93/3.10 cnf(i_0_1770, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),X4)=hAPP(hAPP(c_List_Onth(X1),X3),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X2)))). 2.93/3.10 cnf(i_0_7450, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),esk500_3(X3,X2,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.10 cnf(i_0_7452, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk502_3(X3,X2,X1)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6055, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3))=X3|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)!=X2)). 2.93/3.10 cnf(i_0_1474, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OSigma(X3,X2),X4),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X3),X1)))))). 2.93/3.10 cnf(i_0_3667, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X2),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X1),X4)))))). 2.93/3.10 cnf(i_0_3754, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2)),X3))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_7359, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_3093, plain, (hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(X1,X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_2933, plain, (hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(X1,X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_2687, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_2604, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),c_Wellfounded_Oless__than))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_3304, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),esk204_4(X3,X4,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X4),X3))|~hBOOL(hAPP(X1,X4)))). 2.93/3.10 cnf(i_0_3520, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),esk221_4(X3,X4,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X4),X3))|~hBOOL(hAPP(X1,X4)))). 2.93/3.10 cnf(i_0_272, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X5,esk18_5(X5,X4,X3,X2,X1)))))). 2.93/3.10 cnf(i_0_4665, plain, (c_List_Osublist(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)),X3)=hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_4073, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_1386, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.93/3.10 cnf(i_0_4753, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_6833, plain, (c_List_Oremove1(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))=hAPP(hAPP(c_List_Oappend(X1),c_List_Oremove1(X1,X2,X3)),X4)|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_270, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_393, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3))|~class_Groups_Oordered__ab__group__add__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_195, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4))=X4|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3)). 2.93/3.10 cnf(i_0_2137, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk122_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.10 cnf(i_0_3002, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_5668, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.10 cnf(i_0_869, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk44_3(X1,X2,X3)),X3))|hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3))|~hBOOL(hAPP(X2,X1)))). 2.93/3.10 cnf(i_0_5176, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4))=X4|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3)). 2.93/3.10 cnf(i_0_6537, plain, (hAPP(hAPP(c_List_Onth(X1),c_List_OtakeWhile(X1,X2,X3)),X4)=hAPP(hAPP(c_List_Onth(X1),X3),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3)))))). 2.93/3.10 cnf(i_0_4270, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~class_Rings_Olinordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),c_Groups_Oone__class_Oone(X3)),X4)))). 2.93/3.10 cnf(i_0_6887, plain, (c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2))|~c_Predicate_Oreflp(X1,X2))). 2.93/3.10 cnf(i_0_3307, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),esk204_4(X1,X2,X4,X3)),X1))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),X2),X1)))). 2.93/3.10 cnf(i_0_3523, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),esk221_4(X1,X2,X4,X3)),X1))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),X2),X1)))). 2.93/3.10 cnf(i_0_4091, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~class_Rings_Olinordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),c_Groups_Oone__class_Oone(X3)),X4)))). 2.93/3.10 cnf(i_0_5011, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_7434, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk502_3(X3,X2,X1)))|~hBOOL(hAPP(X1,esk499_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_88, plain, (hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),c_fequal),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(c_List_Oset(tc_prod(X1,X1)),hAPP(hAPP(c_List_Ozip(X1,X1),X3),X3)))))). 2.93/3.10 cnf(i_0_6964, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(c_Finite__Set_Ocard(X2),X3)))|~c_Equiv__Relations_Oequiv(X2,X3,X4)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(c_Finite__Set_Ocard(X2),esk468_4(X1,X4,X3,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_4856, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),esk318_4(X1,X4,X2,X3)),esk319_4(X1,X4,X2,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X4))|~hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 2.93/3.10 cnf(i_0_3445, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),X4),X1))|hBOOL(hAPP(hAPP(c_member(X3),X4),X2))|hAPP(hAPP(c_Set_Oinsert(X3),X4),X1)!=hAPP(hAPP(c_Set_Oinsert(X3),X4),X2))). 2.93/3.10 cnf(i_0_1379, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omax(X1)),X2),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3096, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),esk178_4(X4,X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_7441, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk500_3(X3,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(X1,esk501_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_4441, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2)|~c_Nat__Transfer_Ois__nat(X2)|~c_Nat__Transfer_Ois__nat(X1))). 2.93/3.10 cnf(i_0_1371, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_7301, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_6053, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),esk411_4(X4,X3,X1,X2)),X3)))). 2.93/3.10 cnf(i_0_1546, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omin(X1)),X2),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_6054, plain, (hAPP(X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X3,tc_HOL_Obool)),X5),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(X4),X2),X5)))). 2.93/3.10 cnf(i_0_1276, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))=hAPP(X2,X3)|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X1,tc_HOL_Obool)),X5),X2)!=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 2.93/3.10 cnf(i_0_1278, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),esk72_4(X4,X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_2568, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(X1,esk147_4(X2,X3,X1,X4))))|hAPP(c_Nat_OSuc,X2)!=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,tc_Nat_Onat),X1),X3))). 2.93/3.10 cnf(i_0_3801, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))|hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)!=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_7235, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk490_3(X1,X2,X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X1)))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X1))))). 2.93/3.10 cnf(i_0_3140, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_4168, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),esk285_4(X4,X3,X1,X2)),X3)))). 2.93/3.10 cnf(i_0_1651, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6356, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_6236, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_4008, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X3),X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_2872, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1)),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3958, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,hAPP(hAPP(c_COMBC(X1,X1,X1),c_Groups_Oplus__class_Oplus(X1)),c_Groups_Oone__class_Oone(X1)),X2,c_Groups_Ozero__class_Ozero(X1))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_6412, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),esk434_3(X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_436, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_4633, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3917, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_913, plain, (c_Fun_Oinj__on(tc_List_Olist(X1),tc_List_Olist(X2),hAPP(c_List_Omap(X1,X2),X3),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)))|~c_Fun_Oinj__on(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_3226, plain, (hAPP(X1,X2)=hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X3),X4,c_Option_Ooption_ONone(X3),X1),hAPP(X5,X6))|hAPP(X5,X6)!=hAPP(c_Option_Ooption_OSome(X4),X2))). 2.93/3.10 cnf(i_0_645, plain, (hAPP(c_Set_Oimage(X1,X2,hAPP(c_COMBK(X2,X1),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X4)). 2.93/3.10 cnf(i_0_2103, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_4454, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_4893, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_6461, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~class_Rings_Olinordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_2240, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X2))))). 2.93/3.10 cnf(i_0_5341, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3)))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_1329, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_7417, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_1517, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_1617, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))|~hBOOL(hAPP(hAPP(X5,esk96_4(X5,X4,X3,X2)),esk98_4(X5,X4,X3,X2))))). 2.93/3.10 cnf(i_0_3789, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(X4,X5)|hBOOL(hAPP(hAPP(c_member(X1),X5),c_Map_Odom(X1,X2,X3))))). 2.93/3.10 cnf(i_0_2168, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Nat__Transfer_Otsub(X1,X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_4907, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_List_Oset(X3),c_List_Oremove1(X3,X2,X4))))|~hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_List_Oset(X3),X4))))). 2.93/3.10 cnf(i_0_49, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(X3,X5)|hBOOL(hAPP(hAPP(c_member(X1),X5),c_Map_Odom(X1,X2,X4))))). 2.93/3.10 cnf(i_0_4234, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Ozero__class_Ozero(X2)!=hAPP(X3,X5)|~class_Rings_Ocomm__semiring__1(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_2293, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Wellfounded_Omax__extp(X1,X3,X4,X2)|~hBOOL(hAPP(hAPP(X3,esk133_4(X2,X4,X3,X1)),X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_5063, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X2=X3|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X4,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X5)))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X4,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X6))))). 2.93/3.10 cnf(i_0_6798, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|X2=X3|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X4,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X5),X3)))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X4,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X6),X2))))). 2.93/3.10 cnf(i_0_2876, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),hAPP(c_Int_Oring__1__class_Oof__int(X1),X3))=hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))|~class_Rings_Oring__1(X1))). 2.93/3.10 cnf(i_0_2128, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_5254, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_1839, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),hAPP(c_Int_Oring__1__class_Oof__int(X1),X3))=hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3))|~class_Rings_Oring__1(X1))). 2.93/3.10 cnf(i_0_2346, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),hAPP(c_Int_Oring__1__class_Oof__int(X1),X3))=hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3))|~class_Rings_Oring__1(X1))). 2.93/3.10 cnf(i_0_2241, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_5522, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Olinordered__field__inverse__zero(X1))). 2.93/3.10 cnf(i_0_5334, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_2189, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_2050, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.10 cnf(i_0_4475, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),X2)),hAPP(c_List_Omonoid__add__class_Olistsum(X1),X3))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))|~class_Groups_Omonoid__add(X1))). 2.93/3.10 cnf(i_0_5553, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_633, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_2497, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_3133, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)))))). 2.93/3.10 cnf(i_0_5622, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3),X4)|~class_Divides_Oring__div(X1))). 2.93/3.10 cnf(i_0_6394, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X4)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_6696, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X3,X4),X5),X6))=hAPP(c_List_Ofilter(X1,X2),X6)|hBOOL(hAPP(X2,X5))|~class_Orderings_Olinorder(X3))). 2.93/3.10 cnf(i_0_1296, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk73_5(X3,X2,X4,X5,X1))=X5|X5=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Oappend(X1),X5),X4)!=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))). 2.93/3.10 cnf(i_0_1663, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk102_5(X3,X4,X5,X2,X1))=X4|X4=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Oappend(X1),X4),X3)!=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X5))). 2.93/3.10 cnf(i_0_1295, plain, (hAPP(hAPP(c_List_Oappend(X1),esk73_5(X2,X3,X4,X5,X1)),X4)=X2|X5=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Oappend(X1),X5),X4)!=hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2))). 2.93/3.10 cnf(i_0_3872, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2))|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_6852, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_2099, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_5665, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3))))). 2.93/3.10 cnf(i_0_6553, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4),X3)|~class_Divides_Oring__div(X1))). 2.93/3.10 cnf(i_0_2283, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_6938, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X2)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_1665, plain, (hAPP(hAPP(c_List_Oappend(X1),esk102_5(X2,X3,X4,X5,X1)),X2)=X4|X3=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Oappend(X1),X3),X2)!=hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4))). 2.93/3.10 cnf(i_0_5867, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,X1))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,X1))))). 2.93/3.10 cnf(i_0_219, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.93/3.10 cnf(i_0_5679, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_5857, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_7108, plain, (c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)))=c_List_OtakeWhile(X1,X2,X3)|hBOOL(hAPP(X2,X4)))). 2.93/3.10 cnf(i_0_6271, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_6797, plain, (X1=c_Big__Operators_Olinorder__class_OMin(X2,X3)|hBOOL(hAPP(hAPP(c_member(X2),esk455_3(X1,X3,X2)),X3))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_member(X2),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_3695, plain, (c_Big__Operators_Olinorder__class_OMax(X1,X2)=X3|hBOOL(hAPP(hAPP(c_member(X1),esk248_3(X3,X2,X1)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_4699, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X2)))|~c_Nat__Transfer_Onat__set(X2)|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_6702, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(X1,X2)),c_Predicate_OPowp(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_603, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_2330, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),X2))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2)|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_1791, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk109_5(X2,X3,X1,X4,X5)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Relation_OImage(X1,X5,X3),X2))))). 2.93/3.10 cnf(i_0_4066, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk279_5(X2,X3,X1,X4,X5)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Relation_OImage(X1,X5,X3),X2))))). 2.93/3.10 cnf(i_0_7379, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X2),c_List_Oremove1(X1,X2,X3))=X3|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_378, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_1742, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X3)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_3492, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X3)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.93/3.10 cnf(i_0_1169, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X3)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.93/3.10 cnf(i_0_6106, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_7454, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk502_3(X3,X2,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6373, plain, (hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),X1),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))=c_List_Oupto(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_4823, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk314_3(X2,X3,X1)),esk315_3(X2,X3,X1))=X3|X3=c_List_Olist_ONil(X1)|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2))))). 2.93/3.10 cnf(i_0_7445, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk500_3(X3,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.10 cnf(i_0_3988, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk273_2(X1,X2)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_6108, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_1243, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_5384, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Complete__Lattice_OSup__class_OSup(X1,X3)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 2.93/3.10 cnf(i_0_6583, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Complete__Lattice_OInf__class_OInf(X1,X2)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2)))). 2.93/3.10 cnf(i_0_5942, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4)=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_198, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))=hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_7144, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))=hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_5241, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_2434, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_4855, plain, (hBOOL(hAPP(X1,esk319_4(X1,X2,X3,X4)))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),X3),X2))|~hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X3)))). 2.93/3.10 cnf(i_0_6891, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(X1,esk462_4(X1,X5,X4,X3)))|~hBOOL(hAPP(X1,esk463_4(X1,X5,X4,X3))))). 2.93/3.10 cnf(i_0_4750, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Int_Oring__char__0(X1)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 2.93/3.10 cnf(i_0_2365, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,X3),X4),X5),X6)=hAPP(X7,X6)|~c_Finite__Set_Ofolding__image__simple(X1,X2,X3,X5,X4,X7)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 2.93/3.10 cnf(i_0_5936, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4)=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1253, plain, (c_Wellfounded_Owf(X1,hAPP(c_Relation_Oconverse(X1,X1),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2))))|~c_Wellfounded_Owf(X1,hAPP(c_Relation_Oconverse(X1,X1),X2)))). 2.93/3.10 cnf(i_0_3985, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2)))). 2.93/3.10 cnf(i_0_258, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(X2,esk16_4(X2,X3,X1,X4))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(X2,X4)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_109, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3))|~class_Divides_Oring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))). 2.93/3.10 cnf(i_0_673, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3))|~class_Divides_Oring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))). 2.93/3.10 cnf(i_0_5057, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))=c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5172, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))=hAPP(c_List_Ofoldl(X1,X1,c_Orderings_Oord__class_Omax(X1),X2),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_2017, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_964, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_1767, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_7346, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))=hAPP(c_List_Ofoldl(X1,X1,c_Orderings_Oord__class_Omin(X1),X2),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_4994, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))=c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_2526, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.93/3.10 cnf(i_0_4153, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk283_3(X2,X3,X1)),X3))|hBOOL(hAPP(hAPP(c_member(X1),X2),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X3))))). 2.93/3.10 cnf(i_0_5855, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_449, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_5396, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(X1,X2)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(X1,X2),tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_221, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4866, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_3655, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_464, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_5347, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_431, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_876, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_461, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),X4),X5),X6),X7))|~hBOOL(hAPP(hAPP(hAPP(X5,esk24_7(X7,X6,X5,X4,X3,X2,X1)),X6),X7)))). 2.93/3.10 cnf(i_0_1236, plain, (X1=X2|X2=X3|hAPP(hAPP(c_Set_Oinsert(X4),X2),hAPP(hAPP(c_Set_Oinsert(X4),X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))!=hAPP(hAPP(c_Set_Oinsert(X4),X3),hAPP(hAPP(c_Set_Oinsert(X4),X1),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_1233, plain, (X1=X2|X2=X3|hAPP(hAPP(c_Set_Oinsert(X4),X1),hAPP(hAPP(c_Set_Oinsert(X4),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))!=hAPP(hAPP(c_Set_Oinsert(X4),X5),hAPP(hAPP(c_Set_Oinsert(X4),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_2442, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_2267, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_458, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_1172, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))|~class_Groups_Oab__group__add(X1))). 2.93/3.10 cnf(i_0_45, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3))|~class_Groups_Olinordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_7409, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2))|~class_Groups_Ogroup__add(X1))). 2.93/3.10 cnf(i_0_7237, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_List_Onth(X1),X2),X3)),hAPP(c_List_Oset(X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.10 cnf(i_0_6004, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),X5)))|~c_Finite__Set_Ofun__left__comm(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.10 cnf(i_0_3972, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X3)=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_689, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_3441, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3))|~class_Lattices_Oboolean__algebra(X1))). 2.93/3.10 cnf(i_0_6672, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3))|~class_Lattices_Oboolean__algebra(X1))). 2.93/3.10 cnf(i_0_4278, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3))|~class_Groups_Olinordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_1788, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)|c_Groups_Ozero__class_Ozero(X1)=X5|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X5)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)|~class_Fields_Ofield(X1))). 2.93/3.10 cnf(i_0_7033, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4)))|~class_Rings_Ocomm__ring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_6497, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))). 2.93/3.10 cnf(i_0_1852, plain, (X1=X2|hAPP(hAPP(c_List_Omap(X3,X4),X5),X1)!=hAPP(hAPP(c_List_Omap(X3,X4),X5),X2)|~c_Fun_Oinj__on(X3,X4,X5,hAPP(c_List_Oset(X3),hAPP(hAPP(c_List_Oappend(X3),X2),X1))))). 2.93/3.10 cnf(i_0_1800, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))))). 2.93/3.10 cnf(i_0_7447, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk502_3(X3,X2,X1)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),esk500_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_1787, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X5)|c_Groups_Ozero__class_Ozero(X1)=X5|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)|~class_Fields_Ofield(X1))). 2.93/3.10 cnf(i_0_566, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),X4))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_6655, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X1)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X4,X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X1)))). 2.93/3.10 cnf(i_0_6925, plain, (hAPP(hAPP(c_List_Onth(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_List_Olast(X1,X2)|X2=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_6683, plain, (c_Big__Operators_Olinorder__class_OMax(X1,hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Big__Operators_Olinorder__class_OMin(X1,X2))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2166, plain, (c_Big__Operators_Olinorder__class_OMin(X1,hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Big__Operators_Olinorder__class_OMax(X1,X2))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_6546, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_4825, plain, (X1=c_List_Olist_ONil(X2)|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),esk315_3(X3,X1,X2)),c_List_Olists(X2,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X1),c_List_Olists(X2,X3))))). 2.93/3.10 cnf(i_0_4654, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X1)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X4,X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X1)))). 2.93/3.10 cnf(i_0_6650, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2,X3)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_4655, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2,X3)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_6652, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X4),X2)))). 2.93/3.10 cnf(i_0_4203, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),hAPP(c_List_Oset(tc_Nat_Onat),X2))))). 2.93/3.10 cnf(i_0_43, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3))))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2)))). 2.93/3.10 cnf(i_0_6510, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_3499, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X3),X4))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_4339, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1)). 2.93/3.10 cnf(i_0_7290, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(X1,X2,X3)),c_List_Olist_Olist__size(X1,X4,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X2,esk492_4(X4,X2,X3,X1))),hAPP(X4,esk492_4(X4,X2,X3,X1)))))). 2.93/3.10 cnf(i_0_5350, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|c_Fun_Oinj__on(X3,X4,X5,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X3,tc_HOL_Obool)),X1),X6))|~c_Fun_Oinj__on(X3,X4,X5,hAPP(X6,esk361_6(X6,X5,X4,X3,X2,X1))))). 2.93/3.10 cnf(i_0_1176, plain, (hAPP(hAPP(X1,X2),esk63_7(X2,X3,X4,X5,X1,X6,X7))=X3|~c_Finite__Set_Ofun__left__comm(X7,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X7,X6,X1,X5,X4),X3))|~hBOOL(hAPP(hAPP(c_member(X7),X2),X4)))). 2.93/3.10 cnf(i_0_1405, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Oremove1(X1,X2,X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_4165, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X2,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1),X5),X2)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 2.93/3.10 cnf(i_0_1267, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X3),X4)),hAPP(X4,X5)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_member(X2),X5),X3)))). 2.93/3.10 cnf(i_0_1655, plain, (c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))|~c_List_Olistrelp(X1,X2,X4,X6)|~hBOOL(hAPP(hAPP(X2,X3),X5)))). 2.93/3.10 cnf(i_0_6124, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2684, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2785, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)))|~hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_3418, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(X1),X2))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),X1)))). 2.93/3.10 cnf(i_0_4098, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X2))=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_959, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))|~class_Groups_Omonoid__mult(X1))). 2.93/3.10 cnf(i_0_4385, plain, (hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk294_2(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_List_Oset(tc_Nat_Onat),X1))))). 2.93/3.10 cnf(i_0_1881, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_6617, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_4585, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_5028, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_3783, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(c_COMBK(X1,X2),X4))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 2.93/3.10 cnf(i_0_3784, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(c_COMBK(X1,X2),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 2.93/3.10 cnf(i_0_501, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_542, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_711, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_3028, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_6099, plain, (c_Random_Oselect__weight(X1,hAPP(hAPP(c_List_Omap(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,X1)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,X1),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),X2))=c_Random_Oselect(X1,X2)|X2=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_1916, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_member(X5),X3),hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X5),X4),X2))))). 2.93/3.10 cnf(i_0_5491, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(c_member(X4),X2),hAPP(hAPP(c_COMBB(X5,tc_HOL_Obool,X4),hAPP(hAPP(c_Set_Oinsert(X5),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X1))))). 2.93/3.10 cnf(i_0_1917, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_COMBB(X3,tc_HOL_Obool,X1),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(X3),hAPP(X5,X2)),X4)))). 2.93/3.10 cnf(i_0_5218, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),hAPP(c_Set_Oimage(X2,X1,X3),X4)),X3)=X4|~c_Fun_Oinj__on(X2,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_5977, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|hAPP(c_Set_Oimage(X3,X1,X4),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X3),X2),X4))))). 2.93/3.10 cnf(i_0_5288, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3767, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5675, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3102, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olex(X1,X4))))). 2.93/3.10 cnf(i_0_2688, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),X4)))|~c_Fun_Oinj__on(X1,X2,X4,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_46, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))|~class_Lattices_Osemilattice__inf(X1))). 2.93/3.10 cnf(i_0_5120, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_4186, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3))=X4|hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_1017, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))))). 2.93/3.10 cnf(i_0_423, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))))). 2.93/3.10 cnf(i_0_6041, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4))|~class_Lattices_Osemilattice__sup(X1))). 2.93/3.10 cnf(i_0_1353, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Groups_Oab__semigroup__mult(X1))). 2.93/3.10 cnf(i_0_5413, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Groups_Omonoid__mult(X1))). 2.93/3.10 cnf(i_0_421, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_4854, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X3),esk318_4(X1,X4,X2,X3)),esk319_4(X1,X4,X2,X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X4))|~hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 2.93/3.10 cnf(i_0_500, plain, (X1=X2|hAPP(hAPP(c_List_Onth(X3),X4),X1)!=hAPP(hAPP(c_List_Onth(X3),X4),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X4)))|~hBOOL(hAPP(c_List_Odistinct(X3),X4)))). 2.93/3.10 cnf(i_0_4019, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(c_COMBK(X2,X1),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),hAPP(c_Finite__Set_Ocard(X1),X4))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_5664, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk386_3(X2,X3,X1)),hAPP(c_List_Oset(X1),X3)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2))))). 2.93/3.10 cnf(i_0_1825, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Groups_Oab__semigroup__add(X1))). 2.93/3.10 cnf(i_0_4229, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_5949, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_6198, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_3071, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk175_2(X1,X2)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_5514, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_1756, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Oplus__class_Oplus(X1)),X3),c_Groups_Ozero__class_Ozero(X1)),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_7090, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_582, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))=c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4792, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olinorder__class_OMax(X1,X3))=c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3359, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olinorder__class_OMin(X1,X3))=c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_1190, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))=c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_6782, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),c_Groups_Ozero__class_Ozero(X1))))|~class_Rings_Oidom(X1))). 2.93/3.10 cnf(i_0_7133, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),X3),X4),X5)=hAPP(hAPP(c_Finite__Set_Ofold(X2,X1,X3),X4),hAPP(c_List_Oset(X2),X5))|~c_Finite__Set_Ofun__left__comm__idem(X2,X1,X3))). 2.93/3.10 cnf(i_0_3216, plain, (~c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Set_Oinsert(X1),X4),X5))|~hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))))). 2.93/3.10 cnf(i_0_5502, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk378_5(X2,X3,X1,X4,X5)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),c_Map_Oran(X1,X5,c_Map_Orestrict__map(X1,X5,X3,X2)))))). 2.93/3.10 cnf(i_0_1359, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk78_3(X3,X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X2)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X2))). 2.93/3.10 cnf(i_0_4, plain, (hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3))=hAPP(hAPP(c_List_Onth(X1),X3),X2)|c_List_Olist_ONil(X1)=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.10 cnf(i_0_3552, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))|~class_Rings_Oidom(X1))). 2.93/3.10 cnf(i_0_5441, plain, (hAPP(X1,X2)=hAPP(X3,X2)|hAPP(hAPP(c_List_Omap(X4,X5),X1),X6)!=hAPP(hAPP(c_List_Omap(X4,X5),X3),X6)|~hBOOL(hAPP(hAPP(c_member(X4),X2),hAPP(c_List_Oset(X4),X6))))). 2.93/3.10 cnf(i_0_7164, plain, (X1=X2|hAPP(hAPP(c_Product__Type_OSigma(X3,X4),X1),hAPP(c_COMBK(tc_fun(X4,tc_HOL_Obool),X3),X5))!=hAPP(hAPP(c_Product__Type_OSigma(X3,X4),X2),hAPP(c_COMBK(tc_fun(X4,tc_HOL_Obool),X3),X5))|~hBOOL(hAPP(hAPP(c_member(X4),X6),X5)))). 2.93/3.10 cnf(i_0_3185, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Groups_Otimes__class_Otimes(X1)),X2),X3)|~class_Lattices_Oab__semigroup__idem__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5442, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_COMBK(X2,X1),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),hAPP(c_Finite__Set_Ocard(X1),X4))),X3)|~class_Rings_Osemiring__1(X2))). 2.93/3.10 cnf(i_0_3361, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),X4)=hAPP(hAPP(c_List_Onth(X1),X2),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.10 cnf(i_0_4837, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),X1),X2)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),X1))))). 2.93/3.10 cnf(i_0_4659, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OField(X1),X2)),hAPP(c_Relation_OField(X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_1658, plain, (hAPP(c_Set_Oimage(X1,X2,hAPP(c_COMBK(X2,X1),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 2.93/3.10 cnf(i_0_5905, plain, (hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5))=hAPP(c_Set_Oimage(X4,X1,X2),X5)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 2.93/3.10 cnf(i_0_4264, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4653, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_32, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_6778, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X3))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_5746, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3033, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_7361, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4771, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,X3))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4))). 2.93/3.10 cnf(i_0_2472, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.10 cnf(i_0_2666, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2))))). 2.93/3.10 cnf(i_0_780, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2))))). 2.93/3.10 cnf(i_0_4569, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3))))). 2.93/3.10 cnf(i_0_865, plain, (c_Groups_Ozero__class_Ozero(X1)=hAPP(X2,X3)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),X5)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(X2,esk43_5(X3,X2,X5,X4,X1))))|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.10 cnf(i_0_2197, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))))). 2.93/3.10 cnf(i_0_6504, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_2194, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2))))). 2.93/3.10 cnf(i_0_2195, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2))))). 2.93/3.10 cnf(i_0_2196, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))))). 2.93/3.10 cnf(i_0_2248, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2))))). 2.93/3.10 cnf(i_0_3549, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),esk225_2(X2,X1)),hAPP(c_Relation_OImage(X1,X1,X2),esk225_2(X2,X1)))))). 2.93/3.10 cnf(i_0_6498, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Olinordered__field(X1))). 2.93/3.10 cnf(i_0_3368, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4),X5))|hBOOL(hAPP(hAPP(c_member(X1),esk210_5(X5,X4,X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_2245, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))))). 2.93/3.10 cnf(i_0_2246, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2))))). 2.93/3.10 cnf(i_0_2247, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))))). 2.93/3.10 cnf(i_0_5563, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5786, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2),X3)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X1,X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_811, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2),X3)|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_319, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X2),X3)=c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_127, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_1695, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_1011, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5562, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5561, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1013, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2571, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_4464, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_5609, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 2.93/3.10 cnf(i_0_6538, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_3560, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_1012, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5560, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1014, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5851, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk393_7(X2,X3,X4,X5,X6,X7,X1)),X5))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X7,tc_fun(X6,tc_HOL_Obool))),X5),X4),X3),X2)))). 2.93/3.10 cnf(i_0_3001, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_5820, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_6708, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_4241, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_2433, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|hAPP(c_Map_Omap__of(X1,X4,hAPP(hAPP(c_List_Ozip(X1,X4),X3),X5)),X2)!=hAPP(c_Option_Ooption_OSome(X4),X6)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X5))). 2.93/3.10 cnf(i_0_2369, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)),X2)!=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X2)))). 2.93/3.10 cnf(i_0_984, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X3),X4))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X5),X4))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X2),X3),X5))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_2190, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_5035, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_2476, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1))|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)!=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.10 cnf(i_0_4996, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(X1,esk330_3(X2,X1,X3)),esk331_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_2657, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(X1,esk151_3(X2,X1,X3)),esk152_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.10 cnf(i_0_2182, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),hAPP(c_Relation_Oconverse(X1,X1),X2))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 2.93/3.10 cnf(i_0_4884, plain, (hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X1),X2,c_Option_Ooption_ONone(X1),X3),hAPP(X4,X5))=c_Option_Ooption_ONone(X1)|hAPP(X4,X5)!=hAPP(c_Option_Ooption_OSome(X2),X6)|hAPP(X3,X6)!=c_Option_Ooption_ONone(X1))). 2.93/3.10 cnf(i_0_1464, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk84_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_2540, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_5634, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_6132, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_1338, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_4194, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_7316, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk495_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_6715, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5))|~c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5)))). 2.93/3.10 cnf(i_0_2512, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Relation_ORange(X3,X1),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)))). 2.93/3.10 cnf(i_0_1299, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Relation_ODomain(X1,X3),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4)))). 2.93/3.10 cnf(i_0_652, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X3))=hAPP(c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),X2),X3)|~class_Groups_Omonoid__add(X1))). 2.93/3.10 cnf(i_0_173, plain, (hBOOL(hAPP(hAPP(c_member(tc_sum(X1,X2)),hAPP(c_Sum__Type_OInr(X2,X1),X3)),c_Sum__Type_OPlus(X1,X2,X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X2),X3),X5)))). 2.93/3.10 cnf(i_0_3947, plain, (hBOOL(hAPP(hAPP(c_member(tc_sum(X1,X2)),hAPP(c_Sum__Type_OInl(X1,X2),X3)),c_Sum__Type_OPlus(X1,X2,X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X4)))). 2.93/3.10 cnf(i_0_7176, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_2559, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_2213, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))|~class_Lattices_Osemilattice__inf(X1))). 2.93/3.10 cnf(i_0_5210, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,esk350_5(X3,X4,X5,X2,X1))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X1,tc_HOL_Obool)),X4),X3))))). 2.93/3.10 cnf(i_0_7324, plain, (X1=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_List_Olast(X2,hAPP(hAPP(c_List_Olist__update(X2,X3),X1),X4))=c_List_Olast(X2,X3)|X3=c_List_Olist_ONil(X2))). 2.93/3.10 cnf(i_0_4610, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_4070, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_411, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_4945, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_2607, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5580, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~c_Orderings_Oorder_Omono(tc_Nat_Onat,X1,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2)|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_4261, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_1761, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_4136, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_4109, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_5605, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_1684, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X1),c_Fun_Oid(X1)),hAPP(c_Set_Oimage(X2,X1,X3),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)|~class_Groups_Ocomm__monoid__mult(X1)|~c_Fun_Oinj__on(X2,X1,X3,X4))). 2.93/3.10 cnf(i_0_872, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X1),c_Fun_Oid(X1)),hAPP(c_Set_Oimage(X2,X1,X3),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)|~class_Groups_Ocomm__monoid__add(X1)|~c_Fun_Oinj__on(X2,X1,X3,X4))). 2.93/3.10 cnf(i_0_4858, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),esk319_4(X2,X3,X4,X1)))|hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_3941, plain, (hAPP(X1,hAPP(c_Product__Type_Ofst(X2,X3),X4))=hAPP(X5,hAPP(c_Product__Type_Ofst(X2,X3),X4))|hAPP(c_Product__Type_Omap__pair(X2,X6,X3,X3,X1,c_Fun_Oid(X3)),X4)!=hAPP(c_Product__Type_Omap__pair(X2,X6,X3,X3,X5,c_Fun_Oid(X3)),X4))). 2.93/3.10 cnf(i_0_7037, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_1991, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk115_2(X2,X1)),X2))|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),X2)))). 2.93/3.10 cnf(i_0_7226, plain, (hAPP(c_Random_Opick(X1,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,X1)),X2),X3)),X4)=hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X4),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,X1),X2))))). 2.93/3.10 cnf(i_0_370, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X4))|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_5623, plain, (hAPP(X1,hAPP(c_Product__Type_Osnd(X2,X3),X4))=hAPP(X5,hAPP(c_Product__Type_Osnd(X2,X3),X4))|hAPP(c_Product__Type_Omap__pair(X2,X2,X3,X6,c_Fun_Oid(X2),X1),X4)!=hAPP(c_Product__Type_Omap__pair(X2,X2,X3,X6,c_Fun_Oid(X2),X5),X4))). 2.93/3.10 cnf(i_0_2885, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))))). 2.93/3.10 cnf(i_0_3021, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_7135, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4))),hAPP(c_Finite__Set_Ocard(X2),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_2524, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(X2,esk145_3(X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_1976, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_5703, plain, (c_Map_Odom(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),X5))=hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Map_Odom(X1,X2,X3))|X5=c_Option_Ooption_ONone(X2))). 2.93/3.10 cnf(i_0_2884, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))))). 2.93/3.10 cnf(i_0_2883, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))))). 2.93/3.10 cnf(i_0_2886, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))))). 2.93/3.10 cnf(i_0_729, plain, (X1=c_Big__Operators_Olattice__class_OSup__fin(X2,X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~class_Lattices_Olattice(X2)|~hBOOL(hAPP(hAPP(c_member(X2),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_2572, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(X2,esk148_3(X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5677, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X3))))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_77, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.10 cnf(i_0_893, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X4))|~class_Lattices_Osemilattice__sup(X1))). 2.93/3.10 cnf(i_0_3087, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,X2)=X3|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_834, plain, (c_Big__Operators_Olinorder__class_OMax(X1,X2)=X3|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2349, plain, (c_Big__Operators_Olinorder__class_OMin(X1,X2)=X3|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_6552, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),esk444_3(X2,X4,X1)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4)))). 2.93/3.10 cnf(i_0_5799, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_2222, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,X1))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 2.93/3.10 cnf(i_0_4399, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_171, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_5022, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4),X5))|~hBOOL(hAPP(hAPP(c_member(X1),X6),X3))|~hBOOL(hAPP(hAPP(X4,X6),X5)))). 2.93/3.10 cnf(i_0_5250, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5248, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3228, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_4711, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 2.93/3.10 cnf(i_0_392, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 2.93/3.10 cnf(i_0_3195, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_7302, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 2.93/3.10 cnf(i_0_5249, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5247, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_7109, plain, (c_List_Olinorder__class_Oinsort__insert__key(X1,X1,c_COMBI(X1),X2,X3)=hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X2),X3)|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_5291, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2))|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X1)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X2))))). 2.93/3.10 cnf(i_0_6068, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 2.93/3.10 cnf(i_0_3587, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_4668, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3))|~class_Groups_Omonoid__mult(X1))). 2.93/3.10 cnf(i_0_4599, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_5612, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X3),X2))),c_Divides_Odiv__class_Omod(X1,X3,X2))=X3|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_3188, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2))|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X1)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X2))))). 2.93/3.10 cnf(i_0_4630, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X3),X4)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X5))))). 2.93/3.10 cnf(i_0_4629, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X5),X3))))). 2.93/3.10 cnf(i_0_3669, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X4)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))). 2.93/3.10 cnf(i_0_5397, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),X3))=X2|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_5311, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2))=hAPP(c_Nat_OSuc,X2)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_7368, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))|~hBOOL(hAPP(hAPP(X4,X5),X6))|~hBOOL(hAPP(hAPP(X3,X5),X6)))). 2.93/3.10 cnf(i_0_3986, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk274_2(X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_3584, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk230_2(X1,X2)),X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))))). 2.93/3.10 cnf(i_0_2646, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1252, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),X3)),c_Divides_Odiv__class_Omod(X1,X2,X3))=X2|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_1657, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X4),X3)|c_Divides_Odiv__class_Omod(X1,X2,X3)!=c_Divides_Odiv__class_Omod(X1,X4,X3)|~class_Divides_Oring__div(X1))). 2.93/3.10 cnf(i_0_244, plain, (hAPP(X1,esk15_7(X2,X3,X4,X1,X5,X6,X7))=hAPP(c_Option_Ooption_OSome(X6),X2)|hAPP(c_Option_Ooption_OSome(X6),X2)!=hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X6),X7,c_Option_Ooption_ONone(X6),X1),hAPP(X4,X3)))). 2.93/3.10 cnf(i_0_3293, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X3),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2)),X4),X3))|~class_Orderings_Oord(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X4),X3)))). 2.93/3.10 cnf(i_0_2018, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)))). 2.93/3.10 cnf(i_0_3633, plain, (c_Divides_OnegDivAlg(X1,X2)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_4988, plain, (hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OPow(X1),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Finite__Set_Ocard(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_4220, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(X1,X2)|X2=esk288_3(X1,X3,X4)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,tc_Nat_Onat),X1),X3)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X4),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X3)))). 2.93/3.10 cnf(i_0_5570, plain, (X1=X2|X3=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X5),tc_List_Olist(X5)),hAPP(hAPP(c_List_Olist_OCons(X5),X3),X2)),hAPP(hAPP(c_List_Olist_OCons(X5),X4),X1))),c_List_Olistrel1(X5,X6))))). 2.93/3.10 cnf(i_0_444, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Otake(X1),X2),X3))=hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.10 cnf(i_0_2242, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.10 cnf(i_0_7046, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X5)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_402, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Finite__Set_Ofun__left__comm(X5,X6,X1))). 2.93/3.10 cnf(i_0_4379, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3))=hAPP(c_SetInterval_Oord__class_OatMost(X1),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_6134, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3))=hAPP(c_SetInterval_Oord__class_OatMost(X1),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_1306, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_5748, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.10 cnf(i_0_1647, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3)))). 2.93/3.10 cnf(i_0_3991, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.10 cnf(i_0_2941, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X2,X1,X3),X4),X5)))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_4897, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3))=hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_5456, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X3))=hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.10 cnf(i_0_2066, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X3))=hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4841, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X3))=hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_318, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_3823, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))|~class_Orderings_Oorder(X1))). 2.93/3.10 cnf(i_0_5094, plain, (hAPP(X1,esk340_4(X2,X1,X3,X4))=X2|~c_Fun_Oinj__on(X4,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_Set_Oimage(X4,X3,X1),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))))). 2.93/3.10 cnf(i_0_3623, plain, (X1=X2|~c_Relation_Osingle__valued(X3,X4,X5)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X2)),X5))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X1)),X5)))). 2.93/3.10 cnf(i_0_3868, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk263_5(X2,X3,X4,X5,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X5)),X4),hAPP(hAPP(c_Product__Type_OSigma(X1,X5),X3),X2))))). 2.93/3.10 cnf(i_0_4393, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_2384, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk141_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3)))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_7220, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk489_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3)))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1668, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,X3))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4)))). 2.93/3.10 cnf(i_0_1975, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_4199, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(tc_Int_Oint,X1),X2),c_List_Oupto(X3,X4)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X3,X4))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.10 cnf(i_0_1156, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3679, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk247_4(X2,X3,X4,X1)),X4))|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X2),X4))))). 2.93/3.10 cnf(i_0_4974, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(X2,X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_HOL_Obool)),X5),X2)))|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.10 cnf(i_0_6140, plain, (hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X5))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,X2,X3,X4),X5)))). 2.93/3.10 cnf(i_0_6699, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),c_Transitive__Closure_Ortrancl(X1,X3))))). 2.93/3.10 cnf(i_0_1644, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),X2)),X3)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_2098, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4))=c_SetInterval_Oord__class_OatLeastAtMost(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_539, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1843, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X4,X5,X6),X2),X7),X3)|~c_Big__Operators_Ocomm__monoid__big(X4,X5,X6,X7,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 2.93/3.10 cnf(i_0_7401, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X7,X4),X6)|~c_Finite__Set_Ofolding__image(X1,X2,X3,X5,X7)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 2.93/3.10 cnf(i_0_418, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))|~c_Wellfounded_Owf(X1,X3)|~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X3)),X2)))). 2.93/3.10 cnf(i_0_4775, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(X3,esk311_5(X3,X4,X5,X2,X1))))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1),X4),X3))))). 2.93/3.10 cnf(i_0_785, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X4))=c_SetInterval_Oord__class_OatLeastAtMost(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_2838, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OatMost(X1),X4))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_653, plain, (c_Complete__Lattice_OInf__class_OInf(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_4692, plain, (c_Complete__Lattice_OSup__class_OSup(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.10 cnf(i_0_2508, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,X2),X3),X4)=hAPP(X5,hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))|~c_Finite__Set_Ofolding__one__idem(X1,X2,X5)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_2895, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Olist_OCons(X1),X3),hAPP(c_List_Ofilter(X1,X2),X4))|~hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_5207, plain, (c_Relation_Oirrefl(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk349_2(X2,X1)),esk349_2(X2,X1))),X2)))). 2.93/3.10 cnf(i_0_3276, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,esk194_5(X3,X2,X4,X5,X1))),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X1),X4),X2)),X3)))). 2.93/3.10 cnf(i_0_4079, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(X2,X3))|~hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4)),X3),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X1)))). 2.93/3.10 cnf(i_0_4993, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Olist__update(X1,X3),X4),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.10 cnf(i_0_3559, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_5217, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),c_Relation_OId__on(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.10 cnf(i_0_180, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))))). 2.93/3.10 cnf(i_0_2023, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))))). 2.93/3.10 cnf(i_0_59, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk4_4(X3,X4,X2,X1)),esk3_4(X3,X4,X2,X1))=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),X4),hAPP(c_Relation_Oconverse(X2,X1),X3))))). 2.93/3.10 cnf(i_0_3045, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(X1),X2)),hAPP(c_Set_OPow(X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_702, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk35_3(X1,X2,X3))),X2))|~hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_4024, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),X3)),X3)=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber(X1))). 2.93/3.10 cnf(i_0_6092, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),X3)),c_Wellfounded_Ofinite__psubset(X1))))). 2.93/3.10 cnf(i_0_5211, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk350_5(X2,X3,X1,X4,X5)),X3))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X5,tc_HOL_Obool)),X3),X2))))). 2.93/3.10 cnf(i_0_4881, plain, (hAPP(X1,esk321_6(X2,X3,X1,X4,X5,X6))=c_Option_Ooption_ONone(X5)|c_Option_Ooption_ONone(X6)=hAPP(X3,X2)|hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X5),X6,c_Option_Ooption_ONone(X5),X1),hAPP(X3,X2))!=c_Option_Ooption_ONone(X5))). 2.93/3.10 cnf(i_0_2474, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)!=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.10 cnf(i_0_4094, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X5),X3),X4)))). 2.93/3.10 cnf(i_0_1082, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_2327, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4874, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X4))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Nat_OSuc,X4))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_3141, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5)|hAPP(X3,esk180_5(X3,X4,X5,X1,X2))!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.10 cnf(i_0_3662, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X5)|hAPP(X3,esk246_5(X3,X4,X5,X1,X2))!=c_Groups_Oone__class_Oone(X2)|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.10 cnf(i_0_7120, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5)|hAPP(X3,esk480_5(X3,X4,X5,X1,X2))!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.10 cnf(i_0_7111, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_5202, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X2))=hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_2198, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2244, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_4516, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X5)|hAPP(X3,esk303_5(X3,X4,X5,X1,X2))!=c_Groups_Oone__class_Oone(X2)|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.10 cnf(i_0_1375, plain, (c_Groups_Oone__class_Oone(X1)=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_1950, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Oone__class_Oone(X1)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))). 2.93/3.10 cnf(i_0_7444, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk500_3(X3,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk502_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_2199, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_2243, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_338, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),c_Int_Oring__1__class_OInts(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_5564, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),c_Int_Oring__1__class_OInts(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_4111, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_3003, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2)|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_5852, plain, (hBOOL(hAPP(hAPP(hAPP(X1,esk393_7(X2,X3,X1,X4,X5,X6,X7)),X3),X2))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X7,tc_fun(X6,tc_fun(X5,tc_HOL_Obool))),X4),X1),X3),X2)))). 2.93/3.10 cnf(i_0_256, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=esk17_3(X1,X3,X4)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,tc_Nat_Onat),X1),X3)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X4),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X3)))). 2.93/3.10 cnf(i_0_2928, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X1)))). 2.93/3.10 cnf(i_0_1363, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X1)))). 2.93/3.10 cnf(i_0_6832, plain, (c_List_Oremove1(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))=hAPP(hAPP(c_List_Oappend(X1),X3),c_List_Oremove1(X1,X2,X4))|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_1527, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Nat_Osemiring__1__class_ONats(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),c_Nat_Osemiring__1__class_ONats(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_1182, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Int_Oring__1__class_OInts(X1)))|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),c_Int_Oring__1__class_OInts(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_7035, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Nat_Osemiring__1__class_ONats(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),c_Nat_Osemiring__1__class_ONats(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_5559, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_1026, plain, (hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),X2))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))|hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_5508, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X3)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_4774, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk311_5(X2,X3,X1,X4,X5)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X5)|~class_Orderings_Olinorder(X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X5),X3),X2))))). 2.93/3.10 cnf(i_0_3275, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk194_5(X2,X3,X4,X1,X5)),X4))|~class_Complete__Lattice_Ocomplete__lattice(X5)|~class_Orderings_Olinorder(X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X5),X4),X3)),X2)))). 2.93/3.10 cnf(i_0_7384, plain, (X1=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),hAPP(c_Nat_OSuc,X4))!=hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),hAPP(c_Nat_OSuc,X4))|~class_Rings_Olinordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),c_Groups_Ozero__class_Ozero(X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),c_Groups_Ozero__class_Ozero(X3)),X1)))). 2.93/3.10 cnf(i_0_5095, plain, (esk340_4(hAPP(X1,X2),X1,X3,X4)=X2|~c_Fun_Oinj__on(X4,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_5558, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_1010, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_1009, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_245, plain, (hAPP(c_Option_Ooption_OSome(X1),esk15_7(X2,X3,X4,X5,X6,X7,X1))=hAPP(X4,X3)|hAPP(c_Option_Ooption_OSome(X7),X2)!=hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X7),X1,c_Option_Ooption_ONone(X7),X5),hAPP(X4,X3)))). 2.93/3.10 cnf(i_0_7123, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ODomain(X1,X1),X2)),hAPP(c_Relation_ORange(X1,X1),X3))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~c_Wellfounded_Owf(X1,X3)|~c_Wellfounded_Owf(X1,X2))). 2.93/3.10 cnf(i_0_3904, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X1)),hAPP(hAPP(c_Product__Type_OPair(X2,X1),X4),X3)),hAPP(c_Relation_Oconverse(X1,X2),X5))))). 2.93/3.10 cnf(i_0_2224, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk125_2(X1,X2)),X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))))). 2.93/3.10 cnf(i_0_6863, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_460, plain, (hBOOL(hAPP(hAPP(hAPP(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X6,tc_fun(X7,tc_HOL_Obool))),X8),X1),X3),X4))|~hBOOL(hAPP(hAPP(c_member(X5),X2),X8)))). 2.93/3.10 cnf(i_0_882, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(X4,esk45_4(X2,X1,X4,X3))),hAPP(X4,hAPP(c_Nat_OSuc,esk45_4(X2,X1,X4,X3)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(X4,X1)),hAPP(X4,X2))))). 2.93/3.10 cnf(i_0_5755, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))). 2.93/3.10 cnf(i_0_3656, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_7061, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))). 2.93/3.10 cnf(i_0_1326, plain, (hAPP(c_Set_Oimage(X1,X1,c_Groups_Ouminus__class_Ouminus(X1)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3))=c_SetInterval_Oord__class_OgreaterThanAtMost(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_2743, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk162_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_2767, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk164_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_6714, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4)))))). 2.93/3.10 cnf(i_0_3564, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_6293, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6799, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_1631, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_5828, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X2),c_Product__Type_Osnd(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4))=X4|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))). 2.93/3.10 cnf(i_0_939, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4))|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_2633, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X4)),X3)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_7378, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X4,X1),X2),X5)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.10 cnf(i_0_3797, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.10 cnf(i_0_3159, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X4)))). 2.93/3.10 cnf(i_0_553, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_5827, plain, (hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4))=X3|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))). 2.93/3.10 cnf(i_0_6377, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_5367, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)=c_Groups_Oone__class_Oone(X1)|hAPP(X3,esk363_4(X3,X4,X2,X1))!=c_Groups_Oone__class_Oone(X1)|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_5653, plain, (c_Fun_Oinj__on(tc_List_Olist(X1),tc_List_Olist(X2),hAPP(c_List_Omap(X1,X2),X3),X4)|~c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(X1),tc_fun(X1,tc_HOL_Obool)),X4),c_List_Oset(X1))))). 2.93/3.10 cnf(i_0_112, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~c_Fun_Oinj__on(X1,X4,X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),hAPP(c_Set_Oimage(X1,X4,X5),X2)),hAPP(c_Set_Oimage(X1,X4,X5),X3))))). 2.93/3.10 cnf(i_0_1759, plain, (hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),X1))=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_3245, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk189_3(X1,X2,X3)))=X3|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)!=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_7239, plain, (hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)))). 2.93/3.10 cnf(i_0_990, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__ring__strict(X1))). 2.93/3.10 cnf(i_0_6413, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk434_3(X3,X2,X1)),X2)))). 2.93/3.10 cnf(i_0_1247, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X4,X5))=hAPP(X4,X5)|~c_Finite__Set_Ofolding__image__simple__idem(X6,X7,X1,X8,X2,X4)|~hBOOL(hAPP(hAPP(c_member(X7),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X5)))). 2.93/3.10 cnf(i_0_4477, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(X5,esk299_5(X5,X4,X3,X2,X1)))))). 2.93/3.10 cnf(i_0_4845, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(X4,esk317_5(X5,X4,X3,X2,X1))),X5)))). 2.93/3.10 cnf(i_0_6529, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))=X2|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_4545, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(X2,X3)),hAPP(X4,X3))=hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,X1)),X2),X4),X3)|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_7229, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(X2,X3)),hAPP(X4,X3))=hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,X1)),X2),X4),X3)|~class_Lattices_Olattice(X1))). 2.93/3.10 cnf(i_0_2321, plain, (hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X2)),X3),X4),X5)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),hAPP(X3,X5)),hAPP(X4,X5))|~class_Groups_Ominus(X2))). 2.93/3.10 cnf(i_0_6997, plain, (X1=hAPP(c_List_Orev(X2),hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4))|hAPP(c_List_Orev(X2),X1)!=hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4))). 2.93/3.10 cnf(i_0_3203, plain, (c_Map_Orestrict__map(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),X5),X6)=c_Map_Orestrict__map(X1,X2,X3,X6)|hBOOL(hAPP(hAPP(c_member(X1),X4),X6)))). 2.93/3.10 cnf(i_0_5338, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_1497, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_233, plain, (hAPP(c_Finite__Set_Ocard(tc_sum(X1,X2)),c_Sum__Type_OPlus(X1,X2,X3,X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X3)),hAPP(c_Finite__Set_Ocard(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7066, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)=X2|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_4678, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X4))=hAPP(X3,hAPP(hAPP(c_Set_Oinsert(X5),X2),X4))|c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))=X4|~c_Finite__Set_Ofolding__one__idem(X5,X1,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 2.93/3.10 cnf(i_0_4597, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),c_Divides_Odiv__class_Omod(X1,X4,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_5008, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),c_Divides_Odiv__class_Omod(X1,X4,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_4362, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4))))). 2.93/3.10 cnf(i_0_2180, plain, (X1=hAPP(X2,X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X4),X1),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one(X4,X5,X2)|~hBOOL(hAPP(hAPP(c_member(X4),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X3)))). 2.93/3.10 cnf(i_0_1650, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_36, plain, (X1=hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))|c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))))). 2.93/3.10 cnf(i_0_1722, plain, (c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),esk105_3(X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_2608, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1))). 2.93/3.10 cnf(i_0_2702, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X1)),hAPP(hAPP(c_Product__Type_OPair(X4,X1),X5),X2)),hAPP(c_List_Oset(tc_prod(X4,X1)),hAPP(hAPP(c_List_Ozip(X4,X1),X6),X3)))))). 2.93/3.10 cnf(i_0_4735, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X4),X2),X5)),hAPP(c_List_Oset(tc_prod(X1,X4)),hAPP(hAPP(c_List_Ozip(X1,X4),X3),X6)))))). 2.93/3.10 cnf(i_0_5506, plain, (X1=c_List_Olist_ONil(X2)|hBOOL(hAPP(hAPP(c_member(X2),hAPP(c_Product__Type_Ofst(X2,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(X2,X1),X3))),hAPP(c_List_Oset(X2),X1))))). 2.93/3.10 cnf(i_0_2798, plain, (hBOOL(hAPP(c_Predicate_OPowp(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(c_Set_OPow(X1),X2))))). 2.93/3.10 cnf(i_0_3870, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X3))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_6630, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_3705, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.10 cnf(i_0_2849, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))))). 2.93/3.10 cnf(i_0_5550, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2419, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2551, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1725, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_651, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3073, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk174_2(X1,X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_2888, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2322, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_5763, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_2744, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk162_3(X1,X2,X3))))). 2.93/3.10 cnf(i_0_2768, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk164_3(X1,X2,X3))))). 2.93/3.10 cnf(i_0_5801, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X2)),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_5042, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.10 cnf(i_0_4535, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_2206, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),X1),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_3799, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_5005, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_5386, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(c_List_Otl(X1),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),hAPP(c_List_Ohd(X1),X2)),c_List_Olist_ONil(X1)))=hAPP(c_List_Orotate1(X1),X2)|c_List_Olist_ONil(X1)=X2)). 2.93/3.10 cnf(i_0_4970, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.10 cnf(i_0_7057, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_6758, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2861, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_2701, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2)))). 2.93/3.10 cnf(i_0_2887, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_1468, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Oordered__cancel__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_6117, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_1314, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_5080, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3553, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Oidom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4)))). 2.93/3.10 cnf(i_0_2532, plain, (hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))=c_Divides_Odivmod__int(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_1069, plain, (c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Code__Numeral_Onat__of,X1))))). 2.93/3.10 cnf(i_0_2552, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_5933, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_1565, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_30, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_6783, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~class_Rings_Oidom(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3556, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Big__Operators_Olinorder__class_OMin(X2,X3)),c_Big__Operators_Olinorder__class_OMin(X2,X1)))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_4408, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Big__Operators_Olinorder__class_OMax(X1,X2)),c_Big__Operators_Olinorder__class_OMax(X1,X3)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_52, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2)))). 2.93/3.10 cnf(i_0_581, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_595, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1209, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_1754, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_1958, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_4512, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_1593, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_5251, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_4287, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(c_List_Onth(X1),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),X2)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.10 cnf(i_0_1355, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Oordered__cancel__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_7194, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Oordered__cancel__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_5252, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_2784, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.10 cnf(i_0_5676, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_121, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_1424, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)=hAPP(hAPP(c_List_Odrop(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_2776, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.10 cnf(i_0_2022, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))))). 2.93/3.10 cnf(i_0_179, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))))). 2.93/3.10 cnf(i_0_178, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))))). 2.93/3.10 cnf(i_0_2025, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))))). 2.93/3.10 cnf(i_0_2191, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_1664, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk102_5(X3,X4,X5,X2,X1))=X4|X3=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X5)|hAPP(hAPP(c_List_Oappend(X1),X4),X3)!=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X5))). 2.93/3.10 cnf(i_0_1298, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk73_5(X3,X2,X4,X5,X1))=X5|hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)=X4|hAPP(hAPP(c_List_Oappend(X1),X5),X4)!=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))). 2.93/3.10 cnf(i_0_1666, plain, (hAPP(hAPP(c_List_Oappend(X1),esk102_5(X2,X3,X4,X5,X1)),X2)=X4|X2=hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)|hAPP(hAPP(c_List_Oappend(X1),X3),X2)!=hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4))). 2.93/3.10 cnf(i_0_5256, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_6528, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk443_2(X2,X1)),esk443_2(X2,X1))=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 2.93/3.10 cnf(i_0_6682, plain, (X1=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X4)!=hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X4)|~class_Rings_Olinordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),c_Groups_Ozero__class_Ozero(X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),c_Groups_Ozero__class_Ozero(X3)),X1)))). 2.93/3.10 cnf(i_0_4036, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,X1),X2),X3)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,X1),X4),X3)|hAPP(X2,esk275_5(X4,X2,X3,X3,X1))!=hAPP(X4,esk275_5(X4,X2,X3,X3,X1))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.10 cnf(i_0_6283, plain, (hAPP(c_Set_Oimage(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5)),X6)=hAPP(c_Set_Oimage(X1,X2,X3),X6)|hBOOL(hAPP(hAPP(c_member(X1),X4),X6)))). 2.93/3.10 cnf(i_0_1297, plain, (hAPP(hAPP(c_List_Oappend(X1),esk73_5(X2,X3,X4,X5,X1)),X4)=X2|hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2)=X4|hAPP(hAPP(c_List_Oappend(X1),X5),X4)!=hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2))). 2.93/3.10 cnf(i_0_2525, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X2),X3)))|hBOOL(hAPP(hAPP(c_member(X1),esk145_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_2573, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X2),X3)))|hBOOL(hAPP(hAPP(c_member(X1),esk148_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_1836, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3))=hAPP(c_SetInterval_Oord__class_OlessThan(X1),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_2185, plain, (hAPP(c_List_Ofoldl(X1,X1,hAPP(c_COMBC(X1,X1,X1),c_Groups_Oplus__class_Oplus(X1)),X2),hAPP(c_List_Orev(X1),X3))=hAPP(c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),X2),X3)|~class_Groups_Oab__semigroup__add(X1))). 2.93/3.10 cnf(i_0_6834, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,X1),X2),X3)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,X1),X4),X3)|hAPP(X2,esk457_5(X2,X4,X3,X3,X1))!=hAPP(X4,esk457_5(X2,X4,X3,X3,X1))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.10 cnf(i_0_3480, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X5))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X2)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X5),X2)))). 2.93/3.10 cnf(i_0_1611, plain, (c_Fun_Oinj__on(X1,X2,hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~c_Fun_Oinj__on(X1,X3,X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~c_Fun_Oinj__on(X3,X2,X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_2991, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)),hAPP(c_SetInterval_Oord__class_OatLeast(X1),X3))=hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_3415, plain, (hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),X1))|~c_Com_OWT__bodies|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),X1),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies))))). 2.93/3.10 cnf(i_0_2249, plain, (hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),X1),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1)),X2)))=c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_6123, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_2683, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3673, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_6032, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk408_3(X2,X3,X1)),esk409_3(X2,X3,X1)))|hBOOL(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(X2,X3)))). 2.93/3.10 cnf(i_0_3582, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk231_2(X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_4574, plain, (c_Relation_Ototal__on(X1,X2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))|~c_Relation_Ototal__on(X1,X2,X3))). 2.93/3.10 cnf(i_0_7031, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4))=hAPP(hAPP(c_List_Olist__update(X1,c_List_Obutlast(X1,X2)),X3),X4)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X3)). 2.93/3.10 cnf(i_0_512, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_5474, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_722, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_1507, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_6966, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.10 cnf(i_0_3066, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)=hAPP(c_Finite__Set_Ocard(X1),X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_399, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4377, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_1892, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_4381, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_1793, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5)))|hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X5)))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(c_List_Odistinct(X1),X5)))). 2.93/3.10 cnf(i_0_2783, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_2775, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_5425, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(c_List_Oset(X2),X4))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_List_Odistinct(X2),X4)))). 2.93/3.10 cnf(i_0_4590, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.10 cnf(i_0_5287, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3768, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_3395, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X3),X2)))). 2.93/3.10 cnf(i_0_1246, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_2663, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_ODomain(X1,X2),X3)),hAPP(c_Relation_ODomain(X1,X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)))). 2.93/3.10 cnf(i_0_1403, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),c_List_Olistrel(X1,X2)),c_List_Olistrel(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_2357, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)=hAPP(hAPP(c_List_Onth(X1),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X4)). 2.93/3.10 cnf(i_0_3422, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),hAPP(X4,esk216_4(X4,X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7075, plain, (c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))=c_List_OtakeWhile(X1,X2,X3)|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_2543, plain, (hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)))=hAPP(c_List_Oset(X1),X3)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.93/3.10 cnf(i_0_6139, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_List_Olist_Olist__size(X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_List_Oset(X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(X3,X5))))). 2.93/3.10 cnf(i_0_7295, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),c_List_Olistrel1(X1,X2)),c_List_Olistrel1(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_1130, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(X4,X2)))). 2.93/3.10 cnf(i_0_2831, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X1)))). 2.93/3.10 cnf(i_0_5323, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk359_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X2)))|~c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_7424, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),hAPP(c_List_Ohd(X1),X2)),hAPP(hAPP(c_List_Otake(X1),X3),hAPP(c_List_Otl(X1),X2)))=hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_OSuc,X3)),X2)|X2=c_List_Olist_ONil(X1))). 2.93/3.10 cnf(i_0_6705, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),c_List_Olist_Olist__size(X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_List_Oset(X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(X3,X5))))). 2.93/3.10 cnf(i_0_3109, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),c_Divides_Odiv__class_Omod(X1,X4,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4),X3)|~class_Divides_Oring__div(X1))). 2.93/3.10 cnf(i_0_2412, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(X3,X4)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X1),X6),X3)))|~hBOOL(hAPP(hAPP(c_member(X5),X4),X6)))). 2.93/3.10 cnf(i_0_7322, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)|hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 2.93/3.10 cnf(i_0_5322, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk360_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3)))|~c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_1712, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Oab__semigroup__idem__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5157, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X2,X3)),X4))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1),X6),X2)),X4))|~hBOOL(hAPP(hAPP(c_member(X5),X3),X6)))). 2.93/3.10 cnf(i_0_1805, plain, (c_Wellfounded_Owf(X1,hAPP(c_Set_Oimage(tc_prod(X2,X2),tc_prod(X1,X1),c_Product__Type_Omap__pair(X2,X1,X2,X1,X3,X3)),X4))|~c_Wellfounded_Owf(X2,X4)|~c_Fun_Oinj__on(X2,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_6218, plain, (X1=X2|c_Map_Omap__of(X3,X4,hAPP(hAPP(c_List_Ozip(X3,X4),X5),X1))!=c_Map_Omap__of(X3,X4,hAPP(hAPP(c_List_Ozip(X3,X4),X5),X2))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X1)|~hBOOL(hAPP(c_List_Odistinct(X3),X5)))). 2.93/3.10 cnf(i_0_1977, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_5388, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),c_Transitive__Closure_Ortrancl(X1,X3))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),X3)))). 2.93/3.10 cnf(i_0_1844, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_6777, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X3),X4)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_3800, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)|hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_1444, plain, (hAPP(c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Groups_Osemigroup__add(X1))). 2.93/3.10 cnf(i_0_2390, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),X2)),X2)),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.10 cnf(i_0_794, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(c_Relation_OImage(X1,X2,X5),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))))). 2.93/3.10 cnf(i_0_2143, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X2,X3))|~hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X1)))). 2.93/3.10 cnf(i_0_1548, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(X2,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_HOL_Obool)),X5),X2)))|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 2.93/3.10 cnf(i_0_3777, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),hAPP(X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X2),X5),X3)))). 2.93/3.10 cnf(i_0_4553, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_2259, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_SetInterval_Oord__class_OgreaterThan(X1),X2))=hAPP(c_SetInterval_Oord__class_OatLeast(X1),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_4730, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4)),X5)=hAPP(X3,hAPP(hAPP(c_List_Onth(X2),X4),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X5),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))))). 2.93/3.10 cnf(i_0_6179, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2),X3),hAPP(hAPP(c_COMBC(X1,X4,X2),X5),X6))=hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X4,X2)),X3),X5),X6)|~class_Complete__Lattice_Ocomplete__lattice(X2))). 2.93/3.10 cnf(i_0_4851, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2),X3),hAPP(hAPP(c_COMBC(X1,X4,X2),X5),X6))=hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,X2)),X3),X5),X6)|~class_Complete__Lattice_Ocomplete__lattice(X2))). 2.93/3.10 cnf(i_0_5284, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBB(tc_Int_Oint,X2,X1),c_Int_Oring__1__class_Oof__int(X2)),X3)),X4)=hAPP(c_Int_Oring__1__class_Oof__int(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Int_Oint),X3),X4))|~class_Rings_Oring__1(X2))). 2.93/3.10 cnf(i_0_1123, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBB(X2,X2,X1),c_Groups_Oabs__class_Oabs(X2)),X3)),X4)=hAPP(c_Groups_Oabs__class_Oabs(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4))|~class_Fields_Olinordered__field(X2))). 2.93/3.10 cnf(i_0_4533, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))|~c_Relation_Orefl__on(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_182, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X1,tc_HOL_Obool)),X6),X3)))|~hBOOL(hAPP(hAPP(c_member(X5),X4),X6)))). 2.93/3.10 cnf(i_0_5537, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Orestrict__map(X1,X2,X3,X4)),X5),c_Option_Ooption_ONone(X2))=c_Map_Orestrict__map(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 2.93/3.10 cnf(i_0_7047, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X5)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5)))). 2.93/3.10 cnf(i_0_2294, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Wellfounded_Omax__extp(X1,X3,X4,X2)|hBOOL(hAPP(hAPP(c_member(X1),esk133_4(X2,X4,X3,X1)),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_1564, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_3881, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk266_4(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2),X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_4035, plain, (X1=X2|X3=X4|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X4))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X3))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5))). 2.93/3.10 cnf(i_0_2747, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk164_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_2739, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk162_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_4310, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X3),X4)))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_Obutlast(X1,X4)))))). 2.93/3.10 cnf(i_0_4311, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X3),X4)))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_List_Obutlast(X1,X3)))))). 2.93/3.10 cnf(i_0_7022, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk473_4(X3,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2),X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_6453, plain, (hBOOL(hAPP(X1,esk438_2(X1,X2)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk435_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk436_2(X1,X2)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,esk435_2(X1,X2)))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_724, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X3),X4))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3)))). 2.93/3.10 cnf(i_0_3132, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X4))))). 2.93/3.10 cnf(i_0_705, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk35_3(X1,X2,X3))),X2))|hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_2748, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk164_3(X1,X2,X3))))). 2.93/3.10 cnf(i_0_4007, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X2),X5),X3)))). 2.93/3.10 cnf(i_0_4681, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X4)|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_860, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X4,X5))=hAPP(X2,X3)|~c_Finite__Set_Ofolding__idem(X6,X1,X4,X2)|~hBOOL(hAPP(hAPP(c_member(X6),X5),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X3)))). 2.93/3.10 cnf(i_0_4505, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk301_3(X3,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk300_3(X3,X2,X1)),esk300_3(X3,X2,X1))),X3)))). 2.93/3.10 cnf(i_0_3355, plain, (c_Relation_Orefl__on(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk209_3(X3,X2,X1)),esk209_3(X3,X2,X1))),X3)))). 2.93/3.10 cnf(i_0_7209, plain, (c_Relation_Orefl__on(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk488_3(X2,X3,X1)),esk488_3(X2,X3,X1))),X3)))). 2.93/3.10 cnf(i_0_2740, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk162_3(X1,X2,X3))))). 2.93/3.10 cnf(i_0_6097, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_4857, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk318_4(X2,X3,X4,X1)),X3))|hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_5082, plain, (X1=c_Big__Operators_Olattice_OInf__fin(X2,c_Orderings_Oord__class_Omin(X2),X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_member(X2),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.10 cnf(i_0_5749, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)=X3|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2024, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))))). 2.93/3.10 cnf(i_0_6713, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))=X2|~class_Fields_Ofield(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_5185, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))|~class_Rings_Oring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_6467, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_177, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))))). 2.93/3.10 cnf(i_0_1470, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),esk87_4(X4,X5,X1,X2)),X5))|~c_Hoare__Mirabelle_Ohoare__valids(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4)))). 2.93/3.10 cnf(i_0_4882, plain, (hAPP(c_Option_Ooption_OSome(X1),esk321_6(X2,X3,X4,X5,X6,X1))=hAPP(X3,X2)|c_Option_Ooption_ONone(X1)=hAPP(X3,X2)|hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X6),X1,c_Option_Ooption_ONone(X6),X4),hAPP(X3,X2))!=c_Option_Ooption_ONone(X6))). 2.93/3.10 cnf(i_0_3356, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk209_3(X3,X2,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2)))))). 2.93/3.10 cnf(i_0_6986, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olinorder__class_OMin(X1,X2)),c_Big__Operators_Olinorder__class_OMin(X1,X3))=c_Big__Operators_Olinorder__class_OMin(X1,X3)|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4600, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Big__Operators_Olattice__class_OSup__fin(X1,X2)),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))=c_Big__Operators_Olattice__class_OSup__fin(X1,X3)|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4961, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Big__Operators_Olattice__class_OInf__fin(X1,X2)),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))=c_Big__Operators_Olattice__class_OInf__fin(X1,X3)|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_2968, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olinorder__class_OMax(X1,X2)),c_Big__Operators_Olinorder__class_OMax(X1,X3))=c_Big__Operators_Olinorder__class_OMax(X1,X3)|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7210, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk488_3(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2)))))). 2.93/3.10 cnf(i_0_883, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,esk45_4(X4,X3,X2,X1))),hAPP(X2,hAPP(c_Nat_OSuc,esk45_4(X4,X3,X2,X1)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_6959, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,esk467_4(X4,X3,X2,X1))),hAPP(X2,hAPP(c_Nat_OSuc,esk467_4(X4,X3,X2,X1)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_6030, plain, (hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),esk409_3(X1,X3,X2)),hAPP(hAPP(c_Set_Oinsert(X2),esk408_3(X1,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(X1,X3)))). 2.93/3.10 cnf(i_0_4123, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1))!=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_4306, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2)))). 2.93/3.10 cnf(i_0_2954, plain, (hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),X1))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_5896, plain, (c_Random__Sequence_ORandom(X1,X2,X3,X4)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),X3),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))). 2.93/3.10 cnf(i_0_6565, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X1),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,X1)),X2)|c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X1)). 2.93/3.10 cnf(i_0_7457, plain, (hBOOL(hAPP(X1,X2))|~epred1_3(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),X4),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X4)))). 2.93/3.10 cnf(i_0_7456, plain, (hBOOL(hAPP(X1,X2))|~epred1_3(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),X4),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X3)))). 2.93/3.10 cnf(i_0_5953, plain, (c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1)),X2))=X3|c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))!=hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),X4),X3))). 2.93/3.10 cnf(i_0_4781, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_580, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_1930, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)|~class_Orderings_Oord(X1)|~class_Int_Onumber(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))))). 2.93/3.10 cnf(i_0_6184, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|~class_Orderings_Oord(X1)|~class_Int_Onumber(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))))). 2.93/3.10 cnf(i_0_6658, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,X4)|~c_Finite__Set_Ofolding__image__simple__idem(X5,X6,X1,X7,X8,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X4)))). 2.93/3.10 cnf(i_0_3636, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),esk240_5(X2,X3,X1,X4,X5)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X4),hAPP(c_Set_Oimage(X1,X5,X3),X2))))). 2.93/3.10 cnf(i_0_5170, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),X1),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),X1),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))|hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_6716, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5))|~c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)))). 2.93/3.10 cnf(i_0_5678, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X3)))))). 2.93/3.10 cnf(i_0_3634, plain, (c_Divides_OnegDivAlg(X1,X2)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2))))). 2.93/3.10 cnf(i_0_7129, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))=c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_3278, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,X2,esk195_5(X3,X4,X5,X2,X1),esk196_5(X3,X4,X5,X2,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,hAPP(hAPP(c_Set_Oinsert(X1),X5),X4)),X3)))). 2.93/3.10 cnf(i_0_3804, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,X2,esk255_5(X3,X4,X5,X2,X1),esk256_5(X3,X4,X5,X2,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,hAPP(hAPP(c_Set_Oinsert(X1),X5),X4)),X3)))). 2.93/3.10 cnf(i_0_6473, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_Relation_ODomain(X3,X3),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),c_Transitive__Closure_Ortrancl(X3,X4))))). 2.93/3.10 cnf(i_0_5133, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.10 cnf(i_0_3574, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))=c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_7395, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))). 2.93/3.10 cnf(i_0_4556, plain, (c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_6761, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4262, plain, (c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4284, plain, (hAPP(c_List_Ofoldl(X1,X1,c_Groups_Otimes__class_Otimes(X1),hAPP(c_List_Ohd(X1),X2)),hAPP(c_List_Otl(X1),X2))=hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(c_List_Oset(X1),X2))|X2=c_List_Olist_ONil(X1)|~class_Lattices_Oab__semigroup__idem__mult(X1))). 2.93/3.10 cnf(i_0_2226, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk124_2(X1,X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_2755, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_2779, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_5118, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_2955, plain, (c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5591, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBB(X2,X2,X1),c_Groups_Ouminus__class_Ouminus(X2)),X3)),X4)=hAPP(c_Groups_Ouminus__class_Ouminus(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4))|~class_Groups_Oab__group__add(X2))). 2.93/3.10 cnf(i_0_145, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))))). 2.93/3.10 cnf(i_0_5424, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),hAPP(hAPP(c_COMBB(X1,X1,X2),c_Groups_Oabs__class_Oabs(X1)),X3)),X4)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.10 cnf(i_0_5815, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1))!=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_583, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X2)),X3)),X4)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X3),X4))|~class_Rings_Osemiring__1(X2))). 2.93/3.10 cnf(i_0_2219, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X2,X1)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X2,X1),tc_HOL_Obool)))))). 2.93/3.10 cnf(i_0_2535, plain, (hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))=c_Divides_Odivmod__int(X1,X2)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_2756, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.10 cnf(i_0_3594, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X2))=hAPP(X3,hAPP(c_Nat_OSuc,X2))|hAPP(c_Nat_Onat_Onat__rec(X4,X5,X1),esk232_5(X2,X1,X5,X4,X3))!=hAPP(X3,esk232_5(X2,X1,X5,X4,X3)))). 2.93/3.10 cnf(i_0_1084, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),hAPP(hAPP(X3,X4),X5)),X6)=hAPP(hAPP(X3,X4),hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X5),X6))|~c_Finite__Set_Ofun__left__comm(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.10 cnf(i_0_4469, plain, (hAPP(hAPP(X1,hAPP(c_Fun_Ocomp(X2,X3,X2,X4),X5)),X6)=hAPP(hAPP(X1,X4),hAPP(c_Set_Oimage(X2,X2,X5),X6))|~c_Finite__Set_Ofolding__image(X3,X2,X7,X8,X1)|~c_Fun_Oinj__on(X2,X2,X5,X6)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 2.93/3.10 cnf(i_0_2780, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.10 cnf(i_0_5803, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4)))). 2.93/3.10 cnf(i_0_686, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X2)))). 2.93/3.10 cnf(i_0_704, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,esk35_3(X1,X2,X3)))))|~hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_2360, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),X5)))|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(X2,esk140_6(X3,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),X5),X2,X5,X4,X1))))|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.10 cnf(i_0_3405, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))))). 2.93/3.10 cnf(i_0_3615, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))))). 2.93/3.10 cnf(i_0_5407, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X5)))). 2.93/3.10 cnf(i_0_3388, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),X4)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X5),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 2.93/3.10 cnf(i_0_4672, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3))),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_4950, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),X2)))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),X2))))))). 2.93/3.10 cnf(i_0_1600, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),X2),X1)))=c_Random_Olog(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),X1),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X2),X1)))). 2.93/3.10 cnf(i_0_3866, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk263_5(X3,X4,X5,X2,X1)),esk264_5(X3,X4,X5,X2,X1))=X5|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),X5),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X4),X3))))). 2.93/3.10 cnf(i_0_3371, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,esk211_6(X5,X2,X1,X4,X3,X6)),esk212_6(X5,X2,X1,X4,X3,X6)))))). 2.93/3.10 cnf(i_0_874, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X3,X4))=c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_2047, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X3,X4))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4361, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4)))). 2.93/3.10 cnf(i_0_2773, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_3547, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_5947, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_7285, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(X5,X3),hAPP(X1,X4))|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),X3),X4))|~c_Finite__Set_Ofolding__one(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_2032, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X3,X4))=c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4838, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4))=c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_5741, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_List_Otranspose(X1,X2))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|X2=c_List_Olist_ONil(tc_List_Olist(X1))|~c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(X1))),X2))))). 2.93/3.10 cnf(i_0_6186, plain, (c_Fun_Oinj__on(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5),X6)|hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_Set_Oimage(X1,X2,X3),X6)))|~c_Fun_Oinj__on(X1,X2,X3,X6))). 2.93/3.10 cnf(i_0_2656, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_5620, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X4)))). 2.93/3.10 cnf(i_0_6096, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_6027, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_1053, plain, (hAPP(c_Nat_OSuc,esk58_5(X1,X2,X3,X4,X5))=X2|X3=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X5)),hAPP(hAPP(c_Product__Type_OPair(X5,X5),X4),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X5,X5),tc_HOL_Obool),X2),X1))))). 2.93/3.10 cnf(i_0_3535, plain, (hAPP(c_Nat_OSuc,esk224_5(X1,X2,X3,X4,X5))=X2|X3=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X5)),hAPP(hAPP(c_Product__Type_OPair(X5,X5),X4),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X5,X5),tc_HOL_Obool),X2),X1))))). 2.93/3.10 cnf(i_0_6524, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X2,X3,X4),X5),X6)))|~hBOOL(hAPP(X1,hAPP(hAPP(X5,esk441_7(X4,X5,X1,X6,X3,X2,X7)),esk442_7(X4,X5,X1,X6,X3,X2,X7))))|~hBOOL(hAPP(hAPP(X7,hAPP(c_Product__Type_Osnd(X2,X3),X6)),hAPP(c_Product__Type_Ofst(X2,X3),X6))))). 2.93/3.10 cnf(i_0_2280, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X2)))). 2.93/3.10 cnf(i_0_3374, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_3329, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_1519, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X2)),hAPP(c_List_Oset(X1),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))))). 2.93/3.10 cnf(i_0_2271, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))|hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.10 cnf(i_0_5112, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,X3)|~c_Finite__Set_Ofolding__idem(X5,X1,X6,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 2.93/3.10 cnf(i_0_6104, plain, (hAPP(c_Option_Ooption_OSome(X1),esk412_5(X2,X3,X4,X1,X5))=hAPP(c_Map_Omap__of(X5,X1,X2),X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X1)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X4),X3)),hAPP(c_List_Oset(tc_prod(X5,X1)),X2))))). 2.93/3.10 cnf(i_0_5539, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X4))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2774, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.10 cnf(i_0_277, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X2)),X3)),X4)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),X3),X4))|~class_Groups_Ocomm__monoid__mult(X2)|~class_Rings_Osemiring__1(X2))). 2.93/3.10 cnf(i_0_5216, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBB(tc_Int_Oint,X2,X1),c_Int_Oring__1__class_Oof__int(X2)),X3)),X4)=hAPP(c_Int_Oring__1__class_Oof__int(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Int_Oint),X3),X4))|~class_Groups_Ocomm__monoid__mult(X2)|~class_Rings_Oring__1(X2))). 2.93/3.10 cnf(i_0_7064, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),hAPP(c_COMBK(X1,X2),X3)),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))),X3)|~class_Rings_Osemiring__1(X1))). 2.93/3.10 cnf(i_0_2695, plain, (hBOOL(hAPP(X1,esk156_4(X1,X2,X3,X4)))|hBOOL(hAPP(X1,esk155_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X4),X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool)),X3),X2)))|~hBOOL(hAPP(X1,X5)))). 2.93/3.10 cnf(i_0_5531, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),esk379_7(X3,X4,X2,X5,X6,X7,X1)),X2))|~c_Nitpick_Ofold__graph_H(X1,X7,X6,X5,X2,hAPP(hAPP(X6,X4),X3)))). 2.93/3.10 cnf(i_0_3447, plain, (hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Int_Onat)),X1)=X1|~c_Nat__Transfer_Onat__set(X1))). 2.93/3.10 cnf(i_0_7436, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk500_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk499_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|~hBOOL(hAPP(X3,esk501_3(X1,X2,X3))))). 2.93/3.10 cnf(i_0_7433, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk502_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk501_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|~hBOOL(hAPP(X3,esk499_3(X1,X2,X3))))). 2.93/3.10 cnf(i_0_6718, plain, (c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool))=X2|c_Fun_Oinj__on(X1,X3,X4,c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk451_4(X4,X3,X1,X2)),X2)))). 2.93/3.10 cnf(i_0_205, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),esk12_3(X3,X1,X2))))|~class_Rings_Odvd(X2)|~class_Rings_Osemiring__0(X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X4),c_Groups_Ozero__class_Ozero(X2))))|~hBOOL(hAPP(X1,X4)))). 2.93/3.10 cnf(i_0_3273, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(X5,hAPP(X6,X3)),hAPP(X1,X4))|~c_Finite__Set_Ofolding__image__simple__idem(X7,X2,X5,X8,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_4656, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X4)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.10 cnf(i_0_4932, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5682, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X3))))|~hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_5517, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_4002, plain, (c_Relation_Orefl__on(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4),X5))|~c_Relation_Orefl__on(X1,X3,X5)|~c_Relation_Orefl__on(X1,X2,X4))). 2.93/3.10 cnf(i_0_6044, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_3626, plain, (c_Relation_Osingle__valued(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk237_3(X3,X2,X1)),esk238_3(X3,X2,X1))),X3)))). 2.93/3.10 cnf(i_0_6706, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X4)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X5))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_6625, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X4,X5))=c_SetInterval_Oord__class_OgreaterThanAtMost(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_2484, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X4,X5))=c_SetInterval_Oord__class_OgreaterThanLessThan(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_5318, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X4),X5))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X5)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X4))))). 2.93/3.10 cnf(i_0_3625, plain, (c_Relation_Osingle__valued(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk237_3(X3,X2,X1)),esk239_3(X3,X2,X1))),X3)))). 2.93/3.10 cnf(i_0_6240, plain, (c_Relation_Orefl__on(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4),X5))|~c_Relation_Orefl__on(X1,X3,X5)|~c_Relation_Orefl__on(X1,X2,X4))). 2.93/3.10 cnf(i_0_6690, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_1870, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4))=X4|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X2)))). 2.93/3.10 cnf(i_0_7128, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),X1)))). 2.93/3.10 cnf(i_0_6596, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4))|~class_Groups_Omonoid__mult(X1))). 2.93/3.10 cnf(i_0_5971, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_207, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),esk11_3(X2,X3,X1)),c_Groups_Ozero__class_Ozero(X1))))|~class_Rings_Odvd(X1)|~class_Rings_Osemiring__0(X1)|~hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))))). 2.93/3.10 cnf(i_0_695, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_7305, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.10 cnf(i_0_5534, plain, (X1=hAPP(hAPP(X2,X3),X4)|hBOOL(hAPP(hAPP(c_member(X5),esk379_7(X4,X3,X6,X1,X2,X7,X5)),X6))|~c_Nitpick_Ofold__graph_H(X5,X7,X2,X1,X6,hAPP(hAPP(X2,X3),X4)))). 2.93/3.10 cnf(i_0_1618, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))|c_Natural_Oevaln(X4,esk97_4(X5,X4,X3,X2),X2,esk98_4(X5,X4,X3,X2)))). 2.93/3.10 cnf(i_0_5149, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Olist_OCons(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5)),X6)=hAPP(c_Map_Omap__of(X1,X2,X5),X6)|X6=X3)). 2.93/3.10 cnf(i_0_2230, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_1685, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_4103, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_5777, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))))). 2.93/3.10 cnf(i_0_3805, plain, (hAPP(hAPP(c_Set_Oinsert(X1),esk255_5(X2,X3,X4,X5,X1)),esk256_5(X2,X3,X4,X5,X1))=hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X5,hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X2)))). 2.93/3.10 cnf(i_0_3280, plain, (hAPP(hAPP(c_Set_Oinsert(X1),esk195_5(X2,X3,X4,X5,X1)),esk196_5(X2,X3,X4,X5,X1))=hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X5,hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X2)))). 2.93/3.10 cnf(i_0_3550, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.10 cnf(i_0_5285, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X3)))). 2.93/3.10 cnf(i_0_3476, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X5)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X5)))). 2.93/3.10 cnf(i_0_7449, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk502_3(X3,X2,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),esk500_3(X3,X2,X1))))). 2.93/3.10 cnf(i_0_6914, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_4083, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk281_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk280_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1))))). 2.93/3.10 cnf(i_0_4328, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X3,X4))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_6039, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),esk410_3(X3,X1,X2)),X3))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.10 cnf(i_0_6038, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),esk410_3(X3,X1,X2)),X1))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.10 cnf(i_0_3320, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),esk205_3(X3,X2,X1)),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_7442, plain, (epred1_3(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk500_3(X3,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk502_3(X3,X2,X1)),X3)))). 2.93/3.10 cnf(i_0_2319, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk136_3(X3,X1,X2)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_1634, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk101_3(X3,X1,X2)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_4404, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,X1,esk296_2(X2,X1)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),esk295_2(X2,X1)))=X2|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_1095, plain, (hAPP(c_List_Ofoldl(X1,X1,hAPP(c_COMBC(X1,X1,X1),c_Groups_Oplus__class_Oplus(X1)),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)|~class_Groups_Omonoid__add(X1))). 2.93/3.10 cnf(i_0_5059, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4))|~class_Lattices_Odistrib__lattice(X1))). 2.93/3.10 cnf(i_0_147, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk9_3(X2,X3,X1)),X3)),X2))|hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))))). 2.93/3.10 cnf(i_0_3319, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),esk205_3(X3,X2,X1)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_5582, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)),X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.10 cnf(i_0_2631, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=X3|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.10 cnf(i_0_822, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk42_3(X2,X3,X1)),X3)),X2))|hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))))). 2.93/3.10 cnf(i_0_1161, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),X2))),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X1,X1),c_Groups_Oabs__class_Oabs(X1)),X2))))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.10 cnf(i_0_1228, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk70_4(X4,X2,X3,X1))),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_Relation_ODomain(X1,X2),X4))))). 2.93/3.10 cnf(i_0_4542, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk304_4(X4,X2,X3,X1))),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_Relation_ODomain(X1,X2),X4))))). 2.93/3.10 cnf(i_0_3757, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk254_4(X3,X1,X4,X2)),X4)),X3))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(c_Relation_ORange(X1,X2),X3))))). 2.93/3.10 cnf(i_0_4246, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X4))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))|~class_Lattices_Odistrib__lattice(X1))). 2.93/3.10 cnf(i_0_7263, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk491_3(X2,X3,X1)),X3)),X2))|hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))))). 2.93/3.10 cnf(i_0_957, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4))))). 2.93/3.10 cnf(i_0_6208, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk420_4(X3,X1,X4,X2)),X4)),X3))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(c_Relation_ORange(X1,X2),X3))))). 2.93/3.10 cnf(i_0_3511, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X1,X2)),hAPP(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),X2),X3)),hAPP(hAPP(c_Relation_Oinv__image(tc_Nat_Onat,X4),c_Wellfounded_Oless__than),X1))))). 2.93/3.10 cnf(i_0_1518, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X2)),hAPP(c_List_Oset(X1),X3))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_List_Odistinct(X1),X3))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.93/3.10 cnf(i_0_6426, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_1445, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_5816, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X5),X4)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X5),X3)))). 2.93/3.10 cnf(i_0_7373, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),X5),X4)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 2.93/3.10 cnf(i_0_5365, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_5135, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)),X2))=X3|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X3,X2),X1)))). 2.93/3.10 cnf(i_0_2880, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_1642, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.10 cnf(i_0_4519, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_5440, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),X4)=hAPP(hAPP(c_List_Omap(X1,X2),X5),X4)|hBOOL(hAPP(hAPP(c_member(X1),esk368_5(X3,X4,X5,X2,X1)),hAPP(c_List_Oset(X1),X4))))). 2.93/3.10 cnf(i_0_246, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(X1),X3,c_Option_Ooption_ONone(X1),X4),hAPP(X5,X6))|hAPP(X4,X7)!=hAPP(c_Option_Ooption_OSome(X1),X2)|hAPP(X5,X6)!=hAPP(c_Option_Ooption_OSome(X3),X7))). 2.93/3.10 cnf(i_0_5102, plain, (c_Map_Oran(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5)))=hAPP(hAPP(c_Set_Oinsert(X2),X5),c_Map_Oran(X1,X2,X3))|c_Option_Ooption_ONone(X2)!=hAPP(X3,X4))). 2.93/3.10 cnf(i_0_866, plain, (c_Groups_Ozero__class_Ozero(X1)=hAPP(X2,X3)|hBOOL(hAPP(hAPP(c_member(X4),esk43_5(X3,X2,X5,X4,X1)),X5))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),X5)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.10 cnf(i_0_4217, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),esk289_4(X2,X3,X1,X4)),X3))|hAPP(X2,X4)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_5231, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_2735, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk159_3(X2,X1,X3)),X3)),X2))|~hBOOL(hAPP(hAPP(c_member(X1),X3),esk157_2(X2,X1))))). 2.93/3.10 cnf(i_0_4082, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk281_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk280_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_4422, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 2.93/3.10 cnf(i_0_2951, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_2641, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X4,X5))=hAPP(X2,hAPP(hAPP(c_Set_Oinsert(X6),X5),X3))|~c_Finite__Set_Ofolding__idem(X6,X1,X4,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X3)))). 2.93/3.10 cnf(i_0_1056, plain, (hAPP(c_Nat_OSuc,esk58_5(X1,X2,X3,X4,X5))=X2|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X5)),hAPP(hAPP(c_Product__Type_OPair(X5,X5),X4),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X5,X5),tc_HOL_Obool),X2),X1))))). 2.93/3.10 cnf(i_0_2005, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_525, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Groups_Ocomm__monoid__mult(X1))). 2.93/3.10 cnf(i_0_7034, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_6087, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3)|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.10 cnf(i_0_3377, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X5)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X5))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3538, plain, (hAPP(c_Nat_OSuc,esk224_5(X1,X2,X3,X4,X5))=X2|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X5)),hAPP(hAPP(c_Product__Type_OPair(X5,X5),X4),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X5,X5),tc_HOL_Obool),X2),X1))))). 2.93/3.10 cnf(i_0_2788, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X2)))). 2.93/3.10 cnf(i_0_2351, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X5)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_6084, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X5)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4642, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))),X3)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_2789, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.93/3.10 cnf(i_0_2904, plain, (hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),X5))=hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),X5)|~c_Finite__Set_Ofolding__idem(X6,X1,X3,X7))). 2.93/3.10 cnf(i_0_7125, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_4183, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X3),X4))=c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_4776, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1),X4),X5)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(X5,X6)))|~hBOOL(hAPP(hAPP(c_member(X3),X6),X4)))). 2.93/3.10 cnf(i_0_1551, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))))|~class_Rings_Olinordered__ring(X1))). 2.93/3.10 cnf(i_0_707, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,esk35_3(X2,X1,X3)))))|hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2))))). 2.93/3.10 cnf(i_0_4716, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)),X5)=c_Option_Ooption_ONone(X2)|hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))). 2.93/3.10 cnf(i_0_6924, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(c_List_Oset(tc_prod(X1,X2)),X5)))|hAPP(c_Option_Ooption_OSome(X2),X4)!=hAPP(c_Map_Omap__of(X1,X2,X5),X3))). 2.93/3.10 cnf(i_0_7247, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_3274, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X3),X4)),X5))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X4,X6)),X5))|~hBOOL(hAPP(hAPP(c_member(X2),X6),X3)))). 2.93/3.10 cnf(i_0_3867, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk264_5(X2,X3,X4,X1,X5)),hAPP(X2,esk263_5(X2,X3,X4,X1,X5))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X1)),X4),hAPP(hAPP(c_Product__Type_OSigma(X5,X1),X3),X2))))). 2.93/3.10 cnf(i_0_305, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)=X2|hAPP(hAPP(c_List_Oappend(X1),X2),X4)!=hAPP(hAPP(c_List_Oappend(X1),X3),X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.10 cnf(i_0_2156, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_135, plain, (c_Fun_Oinj__on(X1,tc_fun(X2,X3),hAPP(hAPP(c_COMBB(X3,tc_fun(X2,X3),X1),c_COMBK(X3,X2)),X4),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~c_Fun_Oinj__on(X1,X3,X4,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))). 2.93/3.10 cnf(i_0_462, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),X4),X5),X6),X7))|hBOOL(hAPP(hAPP(c_member(X1),esk24_7(X7,X6,X5,X4,X3,X2,X1)),X4)))). 2.93/3.10 cnf(i_0_3810, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X2))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_1896, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X4)),hAPP(X2,X3))|~c_Finite__Set_Ofun__left__comm(X5,X1,X2))). 2.93/3.10 cnf(i_0_4721, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Relation_OImage(X3,X1,X4),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X6),X2)),X4))|~hBOOL(hAPP(hAPP(c_member(X3),X6),X5)))). 2.93/3.10 cnf(i_0_495, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_7122, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)|~class_Groups_Oordered__ab__group__add(X1))). 2.93/3.10 cnf(i_0_99, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X3))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X4)),X3)|~class_Lattices_Odistrib__lattice(X1))). 2.93/3.10 cnf(i_0_2347, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring(X1))). 2.93/3.10 cnf(i_0_4694, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),c_Groups_Oone__class_Oone(X1))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X3)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_6994, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X3),X4))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X3),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)))|~hBOOL(hAPP(hAPP(c_member(X2),X4),X1))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.10 cnf(i_0_2256, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_6952, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(c_Finite__Set_Ofold1(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2)))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_4438, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4)),X3)|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_5325, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.10 cnf(i_0_5643, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Odivision__ring(X1))). 2.93/3.10 cnf(i_0_6442, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),c_Groups_Oone__class_Oone(X1))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)),X3)|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Divides_Osemiring__div(X1))). 2.93/3.10 cnf(i_0_6805, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Groups_Otimes__class_Otimes(X1)),X2),X3)|hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_1726, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.10 cnf(i_0_5789, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X4),X3))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4)),X3)|~class_Lattices_Odistrib__lattice(X1))). 2.93/3.10 cnf(i_0_6886, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1))). 2.93/3.10 cnf(i_0_4179, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1))). 2.93/3.10 cnf(i_0_963, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X2)))). 2.93/3.10 cnf(i_0_2277, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1)=X3|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X1)))). 2.93/3.10 cnf(i_0_1091, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2049, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2585, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5)))). 2.93/3.10 cnf(i_0_6234, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_4269, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_4090, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_732, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Oone__class_Oone(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4)))). 2.93/3.10 cnf(i_0_1929, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)))|~class_Orderings_Oord(X1)|~class_Int_Onumber(X1))). 2.93/3.10 cnf(i_0_134, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X5)))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_5230, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X4),X5)))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_736, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3153, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),X4),X2))|hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3))))). 2.93/3.10 cnf(i_0_3532, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_7199, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_5649, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(c_Relation_Oconverse(X1,X1),X2)),X2)))|~c_Relation_Orefl__on(X1,X3,X2))). 2.93/3.10 cnf(i_0_2997, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),hAPP(c_Nat_OSuc,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.10 cnf(i_0_6185, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))=hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)))|~class_Orderings_Oord(X1)|~class_Int_Onumber(X1))). 2.93/3.10 cnf(i_0_100, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X5)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X5)))). 2.93/3.10 cnf(i_0_5183, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_857, plain, (hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_4401, plain, (hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_4507, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk301_3(X3,X2,X1)),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk300_3(X3,X2,X1)),X2)))). 2.93/3.10 cnf(i_0_3301, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk202_5(X2,X3,X4,X1,X5)),X4))|hBOOL(hAPP(X2,X6))|~hBOOL(hAPP(hAPP(c_member(X5),X6),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X5,tc_HOL_Obool)),X4),X3))))). 2.93/3.10 cnf(i_0_3364, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(c_List_Orev(X1),X3)),hAPP(c_List_Orev(X2),X4))=hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))). 2.93/3.10 cnf(i_0_6156, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3)),X4)=hAPP(hAPP(c_List_Onth(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.10 cnf(i_0_7312, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk493_3(X1,X2,X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X2)))|hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(c_member(X3),X4),hAPP(c_List_Oset(X3),X2))))). 2.93/3.10 cnf(i_0_4236, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X3),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X3))))|~c_Equiv__Relations_Oequiv(X1,X3,X2))). 2.93/3.10 cnf(i_0_3358, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X3),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X3))))|~c_Relation_Orefl__on(X1,X3,X2))). 2.93/3.10 cnf(i_0_1619, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))|hBOOL(hAPP(hAPP(X3,esk96_4(X5,X4,X3,X2)),esk97_4(X5,X4,X3,X2))))). 2.93/3.10 cnf(i_0_5403, plain, (hAPP(c_Set_Oimage(X1,X2,esk367_4(X3,X1,X2,X4)),X3)=X4|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~c_Fun_Oinj__on(X2,X1,X5,X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X5),X4)),X3)))). 2.93/3.10 cnf(i_0_3147, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4)))))). 2.93/3.10 cnf(i_0_6662, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5)),X6))|~c_Fun_Oinj__on(X1,X2,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_Set_Oimage(X1,X2,X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X6)))). 2.93/3.10 cnf(i_0_1901, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X3))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X5)))). 2.93/3.10 cnf(i_0_3349, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_3249, plain, (hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),esk190_4(X2,X3,X4,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X4|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X3),X2))))). 2.93/3.10 cnf(i_0_5292, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X1)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X2)))|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2)))). 2.93/3.10 cnf(i_0_3706, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X2))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_2750, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.10 cnf(i_0_4927, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk322_6(X3,X4,X5,X6,X2,X1)),esk324_6(X3,X4,X5,X6,X2,X1))=X6|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),X6),hAPP(hAPP(c_Relation_Orel__comp(X1,X5,X2),X4),X3))))). 2.93/3.10 cnf(i_0_6988, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X4)),hAPP(X2,X3))|~c_Finite__Set_Ofolding(X5,X1,X2,X6))). 2.93/3.10 cnf(i_0_2287, plain, (c_Wellfounded_OwfP(X1,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))),X3))|hAPP(X3,esk131_3(X2,X3,X1))!=hAPP(X3,esk132_3(X2,X3,X1))|~c_Wellfounded_OwfP(X1,hAPP(X3,esk130_3(X2,X3,X1))))). 2.93/3.10 cnf(i_0_3310, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))|~c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X1),X6),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X7)|~hBOOL(hAPP(hAPP(c_member(X1),X6),X5)))). 2.93/3.10 cnf(i_0_2140, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk122_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk121_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 2.93/3.10 cnf(i_0_2749, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.10 cnf(i_0_5485, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),esk377_3(X3,X2,X1)),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3))))). 2.93/3.10 cnf(i_0_6195, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))),X3)|~class_Int_Onumber__ring(X1))). 2.93/3.10 cnf(i_0_1723, plain, (c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X2)),X3))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk105_3(X3,X2,X1)),X2)))). 2.93/3.10 cnf(i_0_1792, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk109_5(X3,X4,X1,X5,X2)),X5)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_Relation_OImage(X1,X2,X4),X3))))). 2.93/3.10 cnf(i_0_4067, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk279_5(X3,X4,X1,X5,X2)),X5)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_Relation_OImage(X1,X2,X4),X3))))). 2.93/3.10 cnf(i_0_6992, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X3),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X3),esk471_3(X3,X1,X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.10 cnf(i_0_2257, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),esk127_3(X3,X2,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2016, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2))=hAPP(c_SetInterval_Oord__class_OatMost(X1),X2)|~class_Orderings_Olinorder(X1))). 2.93/3.10 cnf(i_0_740, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X4))))). 2.93/3.10 cnf(i_0_739, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3))))). 2.93/3.10 cnf(i_0_6358, plain, (hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5)),X6)=hAPP(c_Option_Ooption_OSome(X2),X7)|X6=X4|hAPP(c_Option_Ooption_OSome(X2),X7)!=hAPP(X3,X6))). 2.93/3.10 cnf(i_0_6953, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(c_Finite__Set_Ofold1(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2)))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),esk466_3(X3,X2,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2950, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk170_6(X3,X4,X2,X1,X5,X6)),esk171_6(X3,X4,X2,X1,X5,X6))=X3|~hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_fun(X6,tc_HOL_Obool)),X4),X3))))). 2.93/3.10 cnf(i_0_1384, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Rings_Ocomm__ring(X1)|~class_Rings_Odvd(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X6))),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X6)))). 2.93/3.10 cnf(i_0_2665, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X1)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),X2)))). 2.93/3.10 cnf(i_0_5619, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),c_List_Olistrel1(X1,X2)),c_List_Olistrel(X1,X3)))|~c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.10 cnf(i_0_1189, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.10 cnf(i_0_175, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3)))). 2.93/3.10 cnf(i_0_2026, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X2)))). 2.93/3.10 cnf(i_0_4126, plain, (hAPP(c_Relation_ODomain(X1,X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4)))=X3|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 2.93/3.10 cnf(i_0_6367, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),X3))|esk430_3(X3,X2,X1)!=esk429_3(X3,X2,X1))). 2.93/3.10 cnf(i_0_5337, plain, (hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))=c_Divides_OnegDivAlg(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_3672, plain, (hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))=c_Divides_OposDivAlg(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_6436, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X3)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_6822, plain, (hAPP(c_Relation_ORange(X1,X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4)))=X4|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3)). 2.93/3.10 cnf(i_0_386, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X2)))). 2.93/3.10 cnf(i_0_4634, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3)))). 2.93/3.10 cnf(i_0_5800, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3)))). 2.93/3.10 cnf(i_0_4279, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X2)))). 2.93/3.10 cnf(i_0_155, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Olinordered__comm__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.10 cnf(i_0_176, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.10 cnf(i_0_5577, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.10 cnf(i_0_2027, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_2483, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_7389, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.10 cnf(i_0_3588, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Oordered__comm__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_1330, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Olinordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_337, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Oordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.10 cnf(i_0_4042, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~class_Rings_Oordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.10 cnf(i_0_7155, plain, (hAPP(c_List_Oset(X1),X2)=hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Oappend(X1),X3),X4))|c_List_Opartition(X1,X5,X2)!=hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4))). 2.93/3.10 cnf(i_0_6414, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X4)),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.10 cnf(i_0_4116, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X5,X6)))|~hBOOL(hAPP(hAPP(c_member(X3),X6),X4)))). 2.93/3.10 cnf(i_0_700, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Nat_OSuc,X4))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)),X2))|~hBOOL(hAPP(X1,X4)))). 2.93/3.10 cnf(i_0_3285, plain, (hAPP(X1,esk198_3(X2,X1,X3))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk197_3(X2,X1,X3)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X1,X3))))). 2.93/3.10 cnf(i_0_5877, plain, (hAPP(X1,esk396_3(X2,X1,X3))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk395_3(X2,X1,X3)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X1,X3))))). 2.93/3.10 cnf(i_0_3284, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk198_3(X1,X2,X3)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk197_3(X1,X2,X3)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3))))). 2.93/3.10 cnf(i_0_5878, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk396_3(X1,X2,X3)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk395_3(X1,X2,X3)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3))))). 2.93/3.10 cnf(i_0_3897, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.10 cnf(i_0_2214, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X4,X2)),hAPP(X4,X3))))). 2.93/3.10 cnf(i_0_1882, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_4584, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_502, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_7453, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk502_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk501_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_2725, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.10 cnf(i_0_3597, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5)))|~c_Fun_Oinj__on(X2,X1,X3,X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X2,tc_HOL_Obool)),X4),X5)))). 2.93/3.10 cnf(i_0_4657, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X1)))). 2.93/3.10 cnf(i_0_3873, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.10 cnf(i_0_7440, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk500_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk499_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.10 cnf(i_0_712, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_947, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Oone__class_Oone(X1)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_2902, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Oone__class_Oone(X1)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 2.93/3.10 cnf(i_0_5770, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_5312, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2)=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X2))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.10 cnf(i_0_2011, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)))|~class_Int_Onumber__ring(X1)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))). 2.93/3.10 cnf(i_0_2427, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_4524, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)))). 2.93/3.10 cnf(i_0_2697, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk154_4(X2,X3,X4,X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~hBOOL(hAPP(X2,X5)))). 2.93/3.10 cnf(i_0_1595, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),hAPP(hAPP(c_List_Omap(X1,X2),X4),X3))),X5)=c_Option_Ooption_ONone(X2)|hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3))))). 2.93/3.10 cnf(i_0_1883, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2))))). 2.93/3.10 cnf(i_0_4583, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2))))). 2.93/3.10 cnf(i_0_5070, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_693, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_2368, plain, (hAPP(c_Map_Omap__of(X1,X2,X3),X4)=c_Option_Ooption_ONone(X2)|hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3)))))). 2.93/3.10 cnf(i_0_2699, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk154_4(X2,X3,X4,X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X3))|~hBOOL(hAPP(X2,X5)))). 2.93/3.10 cnf(i_0_3569, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X3)),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),c_Map_Odom(X1,X2,X3)),X5)|c_Option_Ooption_ONone(X2)!=hAPP(X3,X4))). 2.93/3.10 cnf(i_0_503, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2)),X3)))). 2.93/3.10 cnf(i_0_456, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4))=hAPP(hAPP(c_List_Otake(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X3)). 2.93/3.10 cnf(i_0_2596, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omin(X1)),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omin(X1)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_3424, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omax(X1)),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omax(X1)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_713, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)),X2)))). 2.93/3.10 cnf(i_0_5853, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),X4),X5),X6),X7))|~hBOOL(hAPP(hAPP(hAPP(X5,X8),X6),X7))|~hBOOL(hAPP(hAPP(c_member(X1),X8),X4)))). 2.93/3.10 cnf(i_0_5434, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.10 cnf(i_0_6443, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,X2),X3),X4)=hAPP(X5,hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~c_Finite__Set_Ofolding__one(X1,X2,X5)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.10 cnf(i_0_166, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X3,X2))=c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X3,X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2)))). 2.93/3.10 cnf(i_0_6335, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.10 cnf(i_0_3931, plain, (hAPP(c_List_Oset(X1),c_List_Oremove1(X1,X2,X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.93/3.10 cnf(i_0_3258, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.10 cnf(i_0_614, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(c_Relation_Oconverse(X2,X1),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X1)),hAPP(hAPP(c_Product__Type_OPair(X2,X1),X4),X3)),X5)))). 2.93/3.10 cnf(i_0_3257, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_3260, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.10 cnf(i_0_3259, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))=hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.10 cnf(i_0_4476, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X1,tc_HOL_Obool)),X6),X3)))|~hBOOL(hAPP(hAPP(c_member(X5),X4),X6)))). 2.93/3.10 cnf(i_0_2335, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk138_4(X1,X4,X3,X2)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_4983, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk329_4(X1,X4,X3,X2)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.10 cnf(i_0_1785, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),X3))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk108_4(X3,X4,X2,X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X3)))). 2.93/3.10 cnf(i_0_2863, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),X3))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk168_4(X3,X4,X2,X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 2.93/3.10 cnf(i_0_3880, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk266_4(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3),X3,X2)),esk265_4(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3),X3,X2))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_5193, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk346_3(X2,X3,X1)),esk347_3(X2,X3,X1))=X3|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X3)),c_List_Olexord(X1,X2))))). 2.93/3.11 cnf(i_0_4847, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X1,tc_HOL_Obool)),X6),X2)),X4))|~hBOOL(hAPP(hAPP(c_member(X5),X3),X6)))). 2.93/3.11 cnf(i_0_671, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),X4)),X5))|~c_Fun_Oinj__on(X1,X2,X4,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(X1,X2,X4),X5))))). 2.93/3.11 cnf(i_0_5808, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(X1),X2))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))|~class_Orderings_Oorder(X1))). 2.93/3.11 cnf(i_0_1141, plain, (hAPP(c_List_Ofilter(X1,hAPP(c_List_Oset(X1),c_List_Osublist(X1,X2,X3))),X2)=c_List_Osublist(X1,X2,X3)|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.93/3.11 cnf(i_0_2136, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk122_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk121_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 2.93/3.11 cnf(i_0_260, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),esk16_4(X2,X3,X1,X4)),X3))|hAPP(X2,X4)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_7021, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk473_4(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3),X3,X2)),esk472_4(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3),X3,X2))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_6449, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X3|hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.11 cnf(i_0_2523, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X3,tc_Nat_Onat),X1),X4)))|~hBOOL(hAPP(hAPP(c_member(X3),X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.11 cnf(i_0_442, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBB(X2,X2,X1),hAPP(c_Groups_Otimes__class_Otimes(X2),X3)),X4)),X5)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X4),X5))|~class_Rings_Osemiring__0(X2))). 2.93/3.11 cnf(i_0_4571, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X2,hAPP(c_Relation_Oconverse(X2,X1),X3)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X5))))))). 2.93/3.11 cnf(i_0_1888, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_650, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4))|hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.11 cnf(i_0_4037, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,X1),X2),X3)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,X1),X4),X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk275_5(X2,X4,X3,X3,X1)))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_6835, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,X1),X2),X3)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,X1),X4),X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk457_5(X2,X4,X3,X3,X1)))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_3585, plain, (hAPP(hAPP(c_List_Omap(X1,X2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5)),X6)=hAPP(hAPP(c_List_Omap(X1,X2),X3),X6)|hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X6))))). 2.93/3.11 cnf(i_0_1884, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_4587, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_4586, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_508, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_2411, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X1),X4),X5)))|hBOOL(hAPP(hAPP(c_member(X3),esk142_5(X5,X4,X3,X2,X1)),X4))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.11 cnf(i_0_5156, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),X3),X4)),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk344_5(X5,X4,X3,X2,X1)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.11 cnf(i_0_2882, plain, (hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_5405, plain, (hAPP(c_Set_Oimage(X1,X2,X3),X4)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,esk366_4(X4,X1,X2,hAPP(c_Set_Oimage(X1,X2,X3),X4))),hAPP(c_Set_Oimage(X1,X2,X3),X4))),X4)))). 2.93/3.11 cnf(i_0_718, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_504, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_714, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_3455, plain, (hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.11 cnf(i_0_391, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.11 cnf(i_0_6069, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))). 2.93/3.11 cnf(i_0_4712, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.11 cnf(i_0_2300, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)|c_Groups_Ozero__class_Ozero(X1)=X4|c_Groups_Ozero__class_Ozero(X1)=X3|hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X4)!=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X5),X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))). 2.93/3.11 cnf(i_0_1221, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)=c_List_Olist_ONil(X1)|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk68_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_750, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X4),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X4))))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X4),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_34, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(c_Map_Omap__of(X3,X1,X4),X5)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),hAPP(c_List_Oset(tc_prod(X3,X1)),X4)))|~hBOOL(hAPP(c_List_Odistinct(X3),hAPP(hAPP(c_List_Omap(tc_prod(X3,X1),X3),c_Product__Type_Ofst(X3,X1)),X4))))). 2.93/3.11 cnf(i_0_7138, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)=c_List_Olist_ONil(X1)|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk481_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_7303, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))). 2.93/3.11 cnf(i_0_2221, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.11 cnf(i_0_3229, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_3196, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.11 cnf(i_0_2299, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X4),X5)|c_Groups_Ozero__class_Ozero(X1)=X5|c_Groups_Ozero__class_Ozero(X1)=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X5),X4)))). 2.93/3.11 cnf(i_0_3290, plain, (hAPP(hAPP(X1,X2),esk200_7(X3,X4,X2,X5,X1,X6,X7))=X3|hBOOL(hAPP(hAPP(c_member(X7),X2),X4))|~c_Finite__Set_Ofun__left__comm(X7,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X7,X6,X1,X5,hAPP(hAPP(c_Set_Oinsert(X7),X2),X4)),X3)))). 2.93/3.11 cnf(i_0_858, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X4)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X3),X5))|~class_Orderings_Olinorder(X1))). 2.93/3.11 cnf(i_0_1594, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),hAPP(hAPP(c_List_Omap(X1,X2),X4),X3))),X5)=hAPP(c_Option_Ooption_OSome(X2),hAPP(X4,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3))))). 2.93/3.11 cnf(i_0_5245, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X1,X1),c_Groups_Ouminus__class_Ouminus(X1)),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4)))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4)))|~class_Groups_Oab__group__add(X1))). 2.93/3.11 cnf(i_0_170, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_4400, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 2.93/3.11 cnf(i_0_3882, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk265_4(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2),X2,X1)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_5980, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 2.93/3.11 cnf(i_0_5032, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 2.93/3.11 cnf(i_0_3366, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3)|c_Groups_Ozero__class_Ozero(X1)=X4|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_5054, plain, (c_List_OtakeWhile(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),c_List_Olast(X1,X2)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X2)=c_List_Obutlast(X1,X2)|X2=c_List_Olist_ONil(X1)|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 2.93/3.11 cnf(i_0_3263, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X2),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X1)))). 2.93/3.11 cnf(i_0_4734, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X3),X4)))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_7023, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk472_4(X3,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2),X2,X1)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_1428, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))))). 2.93/3.11 cnf(i_0_311, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))))). 2.93/3.11 cnf(i_0_6017, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omax(X1)),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_3530, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,X1),c_Int_Onat),X2)),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Int_Oint),X2),X3)|~c_Nat__Transfer_Ois__nat(hAPP(X2,esk222_3(X2,X3,X1))))). 2.93/3.11 cnf(i_0_5016, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,X1),c_Int_Onat),X2)),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Int_Oint),X2),X3)|~c_Nat__Transfer_Ois__nat(hAPP(X2,esk332_3(X2,X3,X1))))). 2.93/3.11 cnf(i_0_5779, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X2)))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2710, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Big__Operators_Olattice__class_OInf__fin(X1,X2)),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))=c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_5068, plain, (c_Big__Operators_Olinorder__class_OMax(X1,hAPP(c_Set_Oimage(X1,X1,X2),X3))=hAPP(X2,c_Big__Operators_Olinorder__class_OMax(X1,X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(X2,esk338_3(X3,X2,X1))),hAPP(X2,esk339_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),esk338_3(X3,X2,X1)),esk339_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_3077, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(c_Set_Oimage(X1,X1,X2),X3))=hAPP(X2,c_Big__Operators_Olattice__class_OInf__fin(X1,X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(X2,esk176_3(X3,X2,X1))),hAPP(X2,esk177_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),esk176_3(X3,X2,X1)),esk177_3(X3,X2,X1)))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_6181, plain, (c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(c_Set_Oimage(X1,X1,X2),X3))=hAPP(X2,c_Big__Operators_Olattice__class_OSup__fin(X1,X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(X2,esk416_3(X3,X2,X1))),hAPP(X2,esk417_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),esk416_3(X3,X2,X1)),esk417_3(X3,X2,X1)))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_4832, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omin(X1)),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_3423, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X1),esk216_4(X4,X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_4976, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X2),esk327_4(X4,X1,X3,X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_6594, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X2),esk446_4(X4,X1,X3,X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_7025, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X3,X2),X4),hAPP(c_Set_Oimage(X1,X3,X5),X6))|~class_Groups_Ocomm__monoid__mult(X2)|~c_Fun_Oinj__on(X1,X3,X5,X6))). 2.93/3.11 cnf(i_0_4596, plain, (c_Big__Operators_Olinorder__class_OMin(X1,hAPP(c_Set_Oimage(X1,X1,X2),X3))=hAPP(X2,c_Big__Operators_Olinorder__class_OMin(X1,X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(X2,esk305_3(X3,X2,X1))),hAPP(X2,esk306_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),esk305_3(X3,X2,X1)),esk306_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_56, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X3),X4))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X4)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3)))). 2.93/3.11 cnf(i_0_2176, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2),X3)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.11 cnf(i_0_6784, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2))))|~class_Rings_Olinordered__ring__strict(X1))). 2.93/3.11 cnf(i_0_6785, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))))|~class_Rings_Olinordered__ring__strict(X1))). 2.93/3.11 cnf(i_0_520, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X2),X7),X6)|hAPP(X3,hAPP(X5,esk28_8(X3,X7,hAPP(c_Set_Oimage(X4,X1,X5),X6),X6,X5,X1,X4,X2)))!=hAPP(X7,esk28_8(X3,X7,hAPP(c_Set_Oimage(X4,X1,X5),X6),X6,X5,X1,X4,X2))|~class_Groups_Ocomm__monoid__add(X2)|~c_Fun_Oinj__on(X4,X1,X5,X6))). 2.93/3.11 cnf(i_0_2318, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk136_3(X1,X2,X3)),esk135_3(X1,X2,X3))=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_1633, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk101_3(X1,X2,X3)),esk100_3(X1,X2,X3))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_376, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Big__Operators_Olattice__class_OSup__fin(X1,X2)),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))=c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_3289, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),esk200_7(X6,X5,X7,X4,X3,X2,X1)))|hBOOL(hAPP(hAPP(c_member(X1),X7),X5))|~c_Finite__Set_Ofun__left__comm(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,hAPP(hAPP(c_Set_Oinsert(X1),X7),X5)),X6)))). 2.93/3.11 cnf(i_0_4911, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X3),X4)))|~c_Fun_Oinj__on(X1,X3,X5,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(c_Set_Oimage(X1,X3,X5),X2)),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.11 cnf(i_0_6366, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),esk429_3(X3,X2,X1)),esk430_3(X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_5109, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4)),X5),X6)=hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Olist__update(X1,X2),X5),X6)),X3),X4)|X3=X5)). 2.93/3.11 cnf(i_0_518, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Int_Oint),X2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_4356, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Int_Oint),X2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,X1),X2),X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_6947, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X4)),X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))). 2.93/3.11 cnf(i_0_6419, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olinorder__class_OMin(X1,X2)),c_Big__Operators_Olinorder__class_OMin(X1,X3))=c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_3557, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X3),c_Orderings_Otop__class_Otop(X1)),X4)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X4),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_3953, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1)),X3),c_Orderings_Obot__class_Obot(X1)),X4)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),X4),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_7078, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,hAPP(hAPP(c_Set_Oinsert(X1),X5),X6)),hAPP(hAPP(X3,X5),X7)))|hBOOL(hAPP(hAPP(c_member(X1),X5),X6))|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X6),X7)))). 2.93/3.11 cnf(i_0_1809, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))=hAPP(hAPP(c_List_Olist_OCons(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(X3,X4)),hAPP(X3,X5))))). 2.93/3.11 cnf(i_0_7163, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2)))). 2.93/3.11 cnf(i_0_3051, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4))),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X2)),X5))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X5)))). 2.93/3.11 cnf(i_0_4749, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))|~class_Int_Oring__char__0(X1)|~class_Int_Onumber__ring(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)))). 2.93/3.11 cnf(i_0_1112, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X4))|X4=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 2.93/3.11 cnf(i_0_3909, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olinorder__class_OMax(X1,X2)),c_Big__Operators_Olinorder__class_OMax(X1,X3))=c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_3179, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 2.93/3.11 cnf(i_0_3670, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X4),X3)))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))). 2.93/3.11 cnf(i_0_3478, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X5)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X5)))). 2.93/3.11 cnf(i_0_7448, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk502_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk501_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk500_3(X1,X2,X3))))). 2.93/3.11 cnf(i_0_5718, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3))|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Divides_Osemiring__div(X1))). 2.93/3.11 cnf(i_0_4601, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4))|c_Groups_Ozero__class_Ozero(X1)=X4|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.11 cnf(i_0_5010, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3)|X4=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.11 cnf(i_0_2835, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4)|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_7437, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk500_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk499_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk502_3(X1,X2,X3)),X1)))). 2.93/3.11 cnf(i_0_3477, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X5)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X5)))). 2.93/3.11 cnf(i_0_2428, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5)))|~class_Groups_Ocomm__monoid__mult(X1)|~class_Rings_Odvd(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_7241, plain, (X1=X2|X3=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X5),tc_List_Olist(X5)),hAPP(hAPP(c_List_Oappend(X5),X3),hAPP(hAPP(c_List_Olist_OCons(X5),X1),c_List_Olist_ONil(X5)))),hAPP(hAPP(c_List_Oappend(X5),X4),hAPP(hAPP(c_List_Olist_OCons(X5),X2),c_List_Olist_ONil(X5))))),c_List_Olistrel1(X5,X6))))). 2.93/3.11 cnf(i_0_7283, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Set_Oimage(X3,X1,X4),X5)))|hAPP(c_Set_Oimage(X3,X1,X4),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X3),X2),X4)),X5)))). 2.93/3.11 cnf(i_0_2408, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),X2)|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_7334, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4)|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_4631, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_4501, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),X2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2))|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_3935, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X3),X2))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2)))). 2.93/3.11 cnf(i_0_837, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(X3,X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5))|hBOOL(hAPP(hAPP(c_member(X1),X4),X5))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_3265, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hAPP(c_Finite__Set_Ocard(X1),esk191_3(X3,X2,X1))!=X3|esk193_3(X3,X2,X1)!=esk192_3(X3,X2,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_4890, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X4)),X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))). 2.93/3.11 cnf(i_0_3101, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))))). 2.93/3.11 cnf(i_0_1213, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(esk65_2(X2,X1),hAPP(c_Nat_OSuc,X3))),hAPP(esk65_2(X2,X1),X3))),X2)))). 2.93/3.11 cnf(i_0_795, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Relation_OImage(X3,X1,X4),hAPP(hAPP(c_Set_Oinsert(X3),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)))). 2.93/3.11 cnf(i_0_5695, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)),X1)=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X1)))). 2.93/3.11 cnf(i_0_3570, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_List_Onth(X1),X2),X3)),hAPP(hAPP(c_List_Onth(X1),X2),X4)))|~c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4)))). 2.93/3.11 cnf(i_0_7096, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,X4)|X3=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one__idem(X5,X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 2.93/3.11 cnf(i_0_5673, plain, (c_Lazy__Sequence_Obind(X1,X2,hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X4),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(X2)),X5),X4))=hAPP(c_New__DSequence_Opos__decr__bind(X1,X2,X3,X5),X4)|c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X4)). 2.93/3.11 cnf(i_0_3156, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_6897, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk461_4(X2,X3,X4,X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 2.93/3.11 cnf(i_0_6898, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk461_4(X2,X3,X4,X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X3)))). 2.93/3.11 cnf(i_0_6037, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)),X3))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X4),X3))|~hBOOL(hAPP(hAPP(c_member(X2),X4),X1))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_3321, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_6868, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),hAPP(hAPP(c_List_Onth(X1),X2),X3)),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_OSuc,X3)),X2))=hAPP(hAPP(c_List_Odrop(X1),X3),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_6646, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X4)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X4)))). 2.93/3.11 cnf(i_0_2462, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_2276, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1)=X3|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X1)))). 2.93/3.11 cnf(i_0_4591, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_1885, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_1889, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_4592, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_7291, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk492_4(X2,X3,X4,X1)),hAPP(c_List_Oset(X1),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(X1,X3,X4)),c_List_Olist_Olist__size(X1,X2,X4))))). 2.93/3.11 cnf(i_0_3010, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_5116, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X2))))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_181, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_4746, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(X3,X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X5))|hBOOL(hAPP(hAPP(c_member(X1),X4),X5))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_273, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_HOL_Obool)),X4),X5)))|hBOOL(hAPP(hAPP(c_member(X3),esk18_5(X5,X4,X3,X2,X1)),X4)))). 2.93/3.11 cnf(i_0_506, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_716, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_1886, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_6669, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)),X4))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3))),X4)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_7310, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk494_3(X2,X3,X1)),hAPP(c_List_Oset(X1),X3)))|hBOOL(hAPP(X2,hAPP(hAPP(c_List_Onth(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_3885, plain, (hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X1)))). 2.93/3.11 cnf(i_0_4565, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)),X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3))),X4)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_4588, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_509, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_719, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_505, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_4223, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat),X2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),hAPP(c_Nat_OSuc,X4)))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_4239, plain, (hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),X2),c_List_Olist_ONil(tc_Nat_Onat)))=c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_4769, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(X2,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X1,tc_HOL_Obool)),X5),X2))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X1,tc_HOL_Obool)),X5),X2)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 2.93/3.11 cnf(i_0_2278, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1)=X3|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_715, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_3110, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(X2,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_HOL_Obool)),X5),X2))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_HOL_Obool)),X5),X2)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 2.93/3.11 cnf(i_0_2807, plain, (c_List_Oremove1(X1,X2,c_List_Olinorder__class_Osorted__list__of__set(X1,X3))=c_List_Olinorder__class_Osorted__list__of__set(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2741, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk162_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_1671, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)))),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__ring__strict(X1))). 2.93/3.11 cnf(i_0_3963, plain, (hAPP(hAPP(c_List_Olist__update(X1,X2),esk271_4(X3,X4,X2,X1)),esk270_4(X3,X4,X2,X1))=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X3))))). 2.93/3.11 cnf(i_0_6892, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk463_4(X2,X3,X4,X1)),X4))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|~hBOOL(hAPP(X2,esk462_4(X2,X3,X4,X1))))). 2.93/3.11 cnf(i_0_6893, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk462_4(X2,X3,X4,X1)),X3))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|~hBOOL(hAPP(X2,esk463_4(X2,X3,X4,X1))))). 2.93/3.11 cnf(i_0_2757, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk164_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_5633, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X3)))). 2.93/3.11 cnf(i_0_2296, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),X2)))). 2.93/3.11 cnf(i_0_551, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_Int_Oint,X1,tc_Nat_Onat),X2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,X1),X2),X3)|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_4928, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))|~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),X2)))))). 2.93/3.11 cnf(i_0_3942, plain, (hAPP(c_Product__Type_Omap__pair(X1,X2,X3,X3,X4,c_Fun_Oid(X3)),X5)=hAPP(c_Product__Type_Omap__pair(X1,X2,X3,X3,X6,c_Fun_Oid(X3)),X5)|hAPP(X4,hAPP(c_Product__Type_Ofst(X1,X3),X5))!=hAPP(X6,hAPP(c_Product__Type_Ofst(X1,X3),X5)))). 2.93/3.11 cnf(i_0_2089, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_Int_Oint,X1,tc_Nat_Onat),X2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,X1),X2),X3)|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_923, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Relation_OImage(X1,X1,X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~c_Equiv__Relations_Oequiv(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.11 cnf(i_0_3161, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_2742, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk162_3(X1,X2,X3))))). 2.93/3.11 cnf(i_0_2361, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk140_6(X2,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),X4),X5),X4,X5,X1,X3)),X5))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),hAPP(X4,X2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),X4),X5)))|~class_Groups_Oordered__ab__group__add(X3)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_5624, plain, (hAPP(c_Product__Type_Omap__pair(X1,X1,X2,X3,c_Fun_Oid(X1),X4),X5)=hAPP(c_Product__Type_Omap__pair(X1,X1,X2,X3,c_Fun_Oid(X1),X6),X5)|hAPP(X4,hAPP(c_Product__Type_Osnd(X1,X2),X5))!=hAPP(X6,hAPP(c_Product__Type_Osnd(X1,X2),X5)))). 2.93/3.11 cnf(i_0_4156, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,esk284_4(X3,X1,X4,X2)),X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X2),X4)),hAPP(c_Finite__Set_Ocard(X1),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_4119, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X5))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Fields_Ofield__inverse__zero(X1))). 2.93/3.11 cnf(i_0_2758, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk164_3(X1,X2,X3))))). 2.93/3.11 cnf(i_0_5368, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)=c_Groups_Oone__class_Oone(X1)|hBOOL(hAPP(hAPP(c_member(X2),esk363_4(X3,X4,X2,X1)),X4))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_4693, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,X1),X2),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_2234, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X4))|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Fields_Ofield(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_2130, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X4,X5))=hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X4,X5)),hAPP(X2,X3))|~c_Finite__Set_Ofolding(X6,X1,X2,X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X5)))). 2.93/3.11 cnf(i_0_6454, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk438_2(X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk435_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk436_2(X1,X2)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,esk435_2(X1,X2)))|~hBOOL(hAPP(X1,X3)))). 2.93/3.11 cnf(i_0_7200, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),X4)),hAPP(c_Relation_OImage(X2,X1,X5),X6)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X6)))). 2.93/3.11 cnf(i_0_2709, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X3),X4))|~c_Finite__Set_Ofolding__image__simple__idem(X6,X5,X1,X7,X8,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 2.93/3.11 cnf(i_0_2450, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X3)),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_2753, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_2769, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_6291, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X5),X6),X4)|c_Divides_Odiv__class_Omod(X1,X3,X4)!=c_Divides_Odiv__class_Omod(X1,X6,X4)|c_Divides_Odiv__class_Omod(X1,X2,X4)!=c_Divides_Odiv__class_Omod(X1,X5,X4)|~class_Divides_Oring__div(X1))). 2.93/3.11 cnf(i_0_7439, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk500_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk499_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk502_3(X1,X2,X3))))). 2.93/3.11 cnf(i_0_1040, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=hAPP(hAPP(c_List_Otake(X1),X2),X4)|hAPP(hAPP(c_List_Onth(X1),X3),esk56_4(X3,X4,X1,X2))!=hAPP(hAPP(c_List_Onth(X1),X4),esk56_4(X3,X4,X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_4178, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_3378, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_7443, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk502_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk501_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk500_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_6331, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))),X4)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_4999, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),esk331_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_1925, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),X6),X4)|c_Divides_Odiv__class_Omod(X1,X6,X4)!=c_Divides_Odiv__class_Omod(X1,X3,X4)|c_Divides_Odiv__class_Omod(X1,X2,X4)!=c_Divides_Odiv__class_Omod(X1,X5,X4)|~class_Divides_Osemiring__div(X1))). 2.93/3.11 cnf(i_0_5303, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_2001, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X4))))). 2.93/3.11 cnf(i_0_3128, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Product__Type_OSigma(X2,X1),X6),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X2),X5)))))). 2.93/3.11 cnf(i_0_2659, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk152_3(X2,X1,X3)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_1092, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X4)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4)))). 2.93/3.11 cnf(i_0_946, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1)),c_Groups_Oone__class_Oone(X2))))). 2.93/3.11 cnf(i_0_2903, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1)),c_Groups_Oone__class_Oone(X2))))). 2.93/3.11 cnf(i_0_6019, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X6),X4)|c_Divides_Odiv__class_Omod(X1,X6,X4)!=c_Divides_Odiv__class_Omod(X1,X3,X4)|c_Divides_Odiv__class_Omod(X1,X2,X4)!=c_Divides_Odiv__class_Omod(X1,X5,X4)|~class_Divides_Osemiring__div(X1))). 2.93/3.11 cnf(i_0_4394, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))),hAPP(X2,hAPP(c_Nat_OSuc,X3)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3)))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_7153, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))=c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3)|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_7320, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X2)),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))=c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3)|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2754, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_5771, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),c_Groups_Oone__class_Oone(X2)),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1))))). 2.93/3.11 cnf(i_0_2012, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))|~class_Int_Onumber__ring(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),c_Groups_Oone__class_Oone(X2)),hAPP(c_Int_Onumber__class_Onumber__of(X2),X1))))). 2.93/3.11 cnf(i_0_4593, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_1887, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_6435, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),X3)|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.11 cnf(i_0_2770, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_3930, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.11 cnf(i_0_2714, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1)),X3),X4),X5)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),X5),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_5775, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X3),X4),X5)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X5),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_3964, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk271_4(X1,X2,X3,X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X4),tc_List_Olist(X4)),X3),X2)),c_List_Olistrel1(X4,X1))))). 2.93/3.11 cnf(i_0_507, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_717, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Groups_Ozero__class_Ozero(X1)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4)))). 2.93/3.11 cnf(i_0_1344, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),c_Nitpick_Oplus__frac(X1,X2,c_Nitpick_Ouminus__frac(X1,X3))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~c_Nitpick_Oless__frac(X1,X2,X3))). 2.93/3.11 cnf(i_0_5962, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X1),c_Nitpick_Oplus__frac(X1,X2,c_Nitpick_Ouminus__frac(X1,X3))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~c_Nitpick_Oless__eq__frac(X1,X2,X3))). 2.93/3.11 cnf(i_0_2635, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),X6)))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5)))). 2.93/3.11 cnf(i_0_7366, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),hAPP(hAPP(c_COMBB(X1,X1,X2),c_Groups_Oabs__class_Oabs(X1)),X3)),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),hAPP(hAPP(c_COMBB(X1,X1,X2),c_Groups_Oabs__class_Oabs(X1)),X3)),X4)|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_4133, plain, (c_Lazy__Sequence_Ohb__bind(X1,X2,hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X4),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X2))),X5),X4))=hAPP(c_New__DSequence_Oneg__decr__bind(X1,X2,X3,X5),X4)|c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X4)). 2.93/3.11 cnf(i_0_2320, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk135_3(X3,X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_1635, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk100_3(X3,X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_7358, plain, (hAPP(hAPP(c_List_Onth(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_OSuc,X3)))=hAPP(hAPP(c_List_Onth(X1),hAPP(c_List_Orev(X1),X2)),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_1425, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X4,X2),X7),X6)|hAPP(X7,esk81_8(X3,X7,hAPP(c_Set_Oimage(X4,X1,X5),X6),X6,X5,X1,X4,X2))!=hAPP(X3,hAPP(X5,esk81_8(X3,X7,hAPP(c_Set_Oimage(X4,X1,X5),X6),X6,X5,X1,X4,X2)))|~class_Groups_Ocomm__monoid__mult(X2)|~c_Fun_Oinj__on(X4,X1,X5,X6))). 2.93/3.11 cnf(i_0_98, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X2),hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6)|~class_Groups_Ocomm__monoid__add(X2)|~c_Fun_Oinj__on(X4,X1,X5,X6))). 2.93/3.11 cnf(i_0_58, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk3_4(X3,X4,X1,X2)),esk4_4(X3,X4,X1,X2))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X1)),X4),hAPP(c_Relation_Oconverse(X1,X2),X3))))). 2.93/3.11 cnf(i_0_7352, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1)))))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.11 cnf(i_0_910, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1)))),X3))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3)))). 2.93/3.11 cnf(i_0_1181, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3))),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Odrop(X1),X4),X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X2)))). 2.93/3.11 cnf(i_0_6584, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3))),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Otake(X1),X4),X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X4)))). 2.93/3.11 cnf(i_0_6455, plain, (hBOOL(hAPP(X1,esk437_2(X1,X2)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk435_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk436_2(X1,X2)))))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X3),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,esk435_2(X1,X2)))|~hBOOL(hAPP(X1,X3)))). 2.93/3.11 cnf(i_0_1539, plain, (hAPP(X1,hAPP(c_Set_Oimage(X2,X2,X3),X4))=hAPP(X3,hAPP(X1,X4))|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hAPP(hAPP(X5,hAPP(X3,esk91_5(X4,X3,X1,X5,X2))),hAPP(X3,esk92_5(X4,X3,X1,X5,X2)))!=hAPP(X3,hAPP(hAPP(X5,esk91_5(X4,X3,X1,X5,X2)),esk92_5(X4,X3,X1,X5,X2)))|~c_Finite__Set_Ofolding__one__idem(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_6560, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_List_Ofoldl(X1,X1,hAPP(c_COMBC(X1,X1,X1),c_Groups_Oplus__class_Oplus(X1)),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_List_Orev(X1),X3)))=hAPP(c_List_Ofoldl(X1,X1,c_Groups_Oplus__class_Oplus(X1),X2),X3)|~class_Groups_Omonoid__add(X1))). 2.93/3.11 cnf(i_0_2396, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool))),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_3510, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Oinv__image(tc_Nat_Onat,X1),c_Wellfounded_Oless__than),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X4,X2)),hAPP(X4,X3))))). 2.93/3.11 cnf(i_0_6815, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X3),X4))|X3=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))|X4=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one__idem(X5,X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 2.93/3.11 cnf(i_0_6788, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))=c_Groups_Oone__class_Oone(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_2286, plain, (c_Wellfounded_OwfP(X1,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))),X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Predicate_ODomainP(X1,X1,hAPP(X3,esk131_3(X2,X3,X1)))),c_Predicate_ORangeP(X1,X1,hAPP(X3,esk132_3(X2,X3,X1))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~c_Wellfounded_OwfP(X1,hAPP(X3,esk130_3(X2,X3,X1))))). 2.93/3.11 cnf(i_0_861, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(X5,hAPP(X6,X3)),hAPP(X1,X4))|hBOOL(hAPP(hAPP(c_member(X2),X3),X4))|~c_Finite__Set_Ofolding__image__simple(X7,X2,X5,X8,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_3335, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),esk208_5(X3,X2,X4,X5,X1))=X5|hAPP(hAPP(c_List_Oappend(X1),X5),esk207_5(X3,X2,X4,X5,X1))=X2|hAPP(hAPP(c_List_Oappend(X1),X2),X3)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 2.93/3.11 cnf(i_0_3336, plain, (hAPP(hAPP(c_List_Oappend(X1),esk208_5(X2,X3,X4,X5,X1)),X4)=X2|hAPP(hAPP(c_List_Oappend(X1),X5),esk207_5(X2,X3,X4,X5,X1))=X3|hAPP(hAPP(c_List_Oappend(X1),X3),X2)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 2.93/3.11 cnf(i_0_986, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(c_Finite__Set_Ocard(X1),X2)|hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_6993, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X3),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)))|hBOOL(hAPP(hAPP(c_member(X2),esk471_3(X3,X1,X2)),X1))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_2258, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(X1),esk127_3(X3,X2,X1)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_6954, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),hAPP(c_Finite__Set_Ofold1(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(X1),esk466_3(X3,X2,X1)),X2))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_6668, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))),hAPP(X2,X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_3333, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),esk208_5(X3,X2,X4,X5,X1))=X5|hAPP(hAPP(c_List_Oappend(X1),esk207_5(X3,X2,X4,X5,X1)),X3)=X4|hAPP(hAPP(c_List_Oappend(X1),X2),X3)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 2.93/3.11 cnf(i_0_3334, plain, (hAPP(hAPP(c_List_Oappend(X1),esk208_5(X2,X3,X4,X5,X1)),X4)=X2|hAPP(hAPP(c_List_Oappend(X1),esk207_5(X2,X3,X4,X5,X1)),X2)=X4|hAPP(hAPP(c_List_Oappend(X1),X3),X2)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 2.93/3.11 cnf(i_0_5529, plain, (hAPP(hAPP(X1,esk379_7(X2,X3,X4,X5,X1,X6,X7)),esk380_7(X2,X3,X4,X5,X1,X6,X7))=hAPP(hAPP(X1,X3),X2)|c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))=X4|~c_Nitpick_Ofold__graph_H(X7,X6,X1,X5,X4,hAPP(hAPP(X1,X3),X2)))). 2.93/3.11 cnf(i_0_1376, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))|c_Groups_Oone__class_Oone(X1)!=hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_1949, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))|hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)!=c_Groups_Oone__class_Oone(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_6279, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,X1),X2),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4)))),X5)=hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X5),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X3))))). 2.93/3.11 cnf(i_0_307, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|hAPP(hAPP(c_List_Oappend(X1),X2),X4)!=hAPP(hAPP(c_List_Oappend(X1),X3),X5))). 2.93/3.11 cnf(i_0_3389, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.11 cnf(i_0_3323, plain, (hAPP(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3),X4))=hAPP(c_Fun_Ocomp(X5,X5,X5,hAPP(X1,X3)),hAPP(X1,X4))|~c_Finite__Set_Ofolding__idem(X2,X5,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_2949, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X3,esk170_6(X4,X3,X5,X6,X2,X1)),esk171_6(X4,X3,X5,X6,X2,X1))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X5,tc_fun(X1,tc_HOL_Obool)),X3),X4))))). 2.93/3.11 cnf(i_0_1075, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X2,X1,hAPP(hAPP(c_COMBB(X3,X1,X2),X4),X5)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X2,X3,X5),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))))). 2.93/3.11 cnf(i_0_7372, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),hAPP(hAPP(X3,X6),X7)))|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X1),X6),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X7))|~hBOOL(hAPP(hAPP(c_member(X1),X6),X5)))). 2.93/3.11 cnf(i_0_2660, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk152_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_4997, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk331_3(X2,X1,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_2722, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),hAPP(c_Set_Oimage(X2,tc_Option_Ooption(X1),c_Map_Omap__add(X2,X1,X3,c_Map_Omap__of(X2,X1,X4))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),hAPP(c_Set_Oimage(X2,tc_Option_Ooption(X1),X3),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))))). 2.93/3.11 cnf(i_0_5117, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.11 cnf(i_0_5532, plain, (hAPP(hAPP(X1,esk379_7(X2,X3,X4,X5,X1,X6,X7)),esk380_7(X2,X3,X4,X5,X1,X6,X7))=hAPP(hAPP(X1,X3),X2)|X5=hAPP(hAPP(X1,X3),X2)|~c_Nitpick_Ofold__graph_H(X7,X6,X1,X5,X4,hAPP(hAPP(X1,X3),X2)))). 2.93/3.11 cnf(i_0_3277, plain, (hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X5))|hBOOL(hAPP(hAPP(c_member(X1),X6),X7))|hAPP(hAPP(c_Set_Oinsert(X1),X6),X7)!=hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,X2,X6,X7),X5)))). 2.93/3.11 cnf(i_0_3926, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk268_5(X2,X3,X4,X1,X5)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X4),X3)),c_Wellfounded_Omax__ext(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 2.93/3.11 cnf(i_0_3514, plain, (c_List_Olinorder__class_Oinsort__insert__key(X1,X2,X3,X4,X5)=hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5)|hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_List_Oset(X1),X5))))|~class_Orderings_Olinorder(X2))). 2.93/3.11 cnf(i_0_2602, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))|~c_Wellfounded_Owf(X1,X4))). 2.93/3.11 cnf(i_0_2590, plain, (c_Wellfounded_Oacyclic(X1,hAPP(hAPP(c_Set_Oinsert(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))|~c_Wellfounded_Oacyclic(X1,X4))). 2.93/3.11 cnf(i_0_5107, plain, (hAPP(c_List_Oset(tc_prod(X1,X2)),X3)=hAPP(c_List_Oset(tc_prod(X1,X2)),X4)|c_Map_Omap__of(X1,X2,X3)!=c_Map_Omap__of(X1,X2,X4)|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X4)))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X3))))). 2.93/3.11 cnf(i_0_1947, plain, (hAPP(c_List_Ofoldl(X1,X1,hAPP(c_COMBC(X1,X1,X1),c_Orderings_Oord__class_Omax(X1)),X2),hAPP(c_List_Orev(X1),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_List_Onth(X1),X3),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)|X3=c_List_Olist_ONil(X1)|~c_List_Olinorder__class_Osorted(X1,hAPP(c_List_Orev(X1),X3))|~class_Orderings_Olinorder(X1))). 2.93/3.11 cnf(i_0_3834, plain, (hAPP(X1,esk259_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),esk258_4(X2,X1,X3,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_3837, plain, (hAPP(X1,esk259_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk258_4(X2,X1,X3,X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_5479, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_5892, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2)),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_4034, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1))). 2.93/3.11 cnf(i_0_3833, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk259_4(X2,X3,X4,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk258_4(X2,X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X4)))). 2.93/3.11 cnf(i_0_4981, plain, (hAPP(c_Set_Oimage(X1,X2,hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hAPP(c_Set_Oimage(X3,X2,X4),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hAPP(c_Set_Oimage(X1,X3,X5),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_1041, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=hAPP(hAPP(c_List_Otake(X1),X2),X4)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk56_4(X3,X4,X1,X2)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_3838, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk259_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk258_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,X4)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_7227, plain, (hAPP(c_Random_Opick(X1,X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X3),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,X1),X4)))=hAPP(c_Random_Opick(X1,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,X1)),X4),X2)),X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X3),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,X1),X4))))). 2.93/3.11 cnf(i_0_6965, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk468_4(X2,X3,X4,X1)),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X4),X3)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),hAPP(c_Finite__Set_Ocard(X1),X4)))|~c_Equiv__Relations_Oequiv(X1,X4,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_86, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),esk7_3(X3,X1,X2)),hAPP(c_List_Oset(tc_prod(X3,X3)),hAPP(hAPP(c_List_Ozip(X3,X3),X2),X1))))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X2))). 2.93/3.11 cnf(i_0_3211, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4)),X5)=hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X5)),X3),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_5203, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat),X2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X4))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_2389, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),X2)),X2)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Int_Oring__1__class_OInts(X1))))). 2.93/3.11 cnf(i_0_975, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|esk50_5(X5,X4,X3,X2,X1)!=esk49_5(X5,X4,X3,X2,X1)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4),X5)))))). 2.93/3.11 cnf(i_0_5046, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|esk337_5(X5,X4,X3,X2,X1)!=esk336_5(X5,X4,X3,X2,X1)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4),X5)))))). 2.93/3.11 cnf(i_0_5357, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 2.93/3.11 cnf(i_0_2843, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X3),X2))),c_Divides_Odiv__class_Omod(X1,X3,X2))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)|~class_Divides_Osemiring__div(X1))). 2.93/3.11 cnf(i_0_5088, plain, (hAPP(c_Random_Opick(X1,hAPP(hAPP(c_List_Omap(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,X1)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,X1),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X3))=hAPP(hAPP(c_List_Onth(X1),X2),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_4059, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),X3)),c_Divides_Odiv__class_Omod(X1,X2,X3))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)|~class_Divides_Osemiring__div(X1))). 2.93/3.11 cnf(i_0_5269, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk354_4(X4,X1,X3,X2)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_6882, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk460_4(X4,X3,X2,X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X3),X4)))). 2.93/3.11 cnf(i_0_802, plain, (hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X1,tc_prod(X2,X1)),hAPP(X3,X4)),c_Random_Oiterate(X2,X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X5),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),X3))=hAPP(c_Random_Oiterate(X2,X1,X5,X3),X4)|X5=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.93/3.11 cnf(i_0_646, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 2.93/3.11 cnf(i_0_4129, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X4,X5))=hAPP(X2,hAPP(hAPP(c_Set_Oinsert(X6),X5),X3))|hBOOL(hAPP(hAPP(c_member(X6),X5),X3))|~c_Finite__Set_Ofolding(X6,X1,X4,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X3)))). 2.93/3.11 cnf(i_0_4478, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_HOL_Obool)),X4),X5)))|hBOOL(hAPP(hAPP(c_member(X3),esk299_5(X5,X4,X3,X2,X1)),X4)))). 2.93/3.11 cnf(i_0_2370, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X2)))). 2.93/3.11 cnf(i_0_4938, plain, (hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=hAPP(c_Finite__Set_Ocard(X1),X2)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_5694, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)),X1)=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_4846, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk317_5(X5,X4,X3,X2,X1)),X3)))). 2.93/3.11 cnf(i_0_2432, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)),X5)=hAPP(c_Option_Ooption_OSome(X2),esk143_5(X5,X4,X2,X3,X1))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3))))). 2.93/3.11 cnf(i_0_3905, plain, (c_FunDef_Oreduction__pair(X1,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))|~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X3)),X2)))). 2.93/3.11 cnf(i_0_927, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_List_Onth(X1),X2),X3)),hAPP(hAPP(c_List_Onth(X1),X2),X4)))|~c_List_Olinorder__class_Osorted(X1,hAPP(c_List_Orev(X1),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_2696, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk156_4(X2,X3,X4,X1)),X4))|hBOOL(hAPP(X2,esk155_4(X2,X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|~hBOOL(hAPP(X2,X5)))). 2.93/3.11 cnf(i_0_3362, plain, (hAPP(hAPP(c_List_Onth(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)))=hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Oappend(X1),X4),X2)),X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))))). 2.93/3.11 cnf(i_0_123, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 2.93/3.11 cnf(i_0_6842, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_3465, plain, (hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_4148, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5)))),X6)=hAPP(X3,X6)|hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),X4))))). 2.93/3.11 cnf(i_0_2693, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk155_4(X2,X3,X4,X1)),X3))|hBOOL(hAPP(X2,esk156_4(X2,X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|~hBOOL(hAPP(X2,X5)))). 2.93/3.11 cnf(i_0_2044, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),hAPP(hAPP(c_List_Olist_OCons(X3),X1),X5)),hAPP(hAPP(c_List_Olist_OCons(X3),X2),X6))),c_List_Olex(X3,X4))))). 2.93/3.11 cnf(i_0_5571, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),hAPP(hAPP(c_List_Olist_OCons(X3),X1),X5)),hAPP(hAPP(c_List_Olist_OCons(X3),X2),X6))),c_List_Olistrel1(X3,X4))))). 2.93/3.11 cnf(i_0_2856, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X2),X1)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),hAPP(hAPP(c_List_Olist_OCons(X3),X2),X5)),hAPP(hAPP(c_List_Olist_OCons(X3),X1),X6))),c_List_Olexord(X3,X4))))). 2.93/3.11 cnf(i_0_1442, plain, (c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))=hAPP(hAPP(c_List_Otake(tc_Nat_Onat),X2),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)))). 2.93/3.11 cnf(i_0_4982, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk329_4(X1,X2,X3,X4)),esk328_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_2334, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk138_4(X1,X2,X3,X4)),esk137_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_1784, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk108_4(X1,X2,X3,X4)),esk107_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X4),X1)))). 2.93/3.11 cnf(i_0_4014, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.11 cnf(i_0_1394, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5))=hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~c_Fun_Oinj__on(X2,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))). 2.93/3.11 cnf(i_0_2924, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(X2,X3),X4)),hAPP(c_Set_Oimage(tc_prod(X5,X6),X1,hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X1),X2)),X7)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X6)),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X3),X4)),X7)))). 2.93/3.11 cnf(i_0_7412, plain, (hAPP(c_List_Ohd(X1),hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Orotate1(X1)),X3))=hAPP(hAPP(c_List_Onth(X1),X3),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|c_List_Olist_ONil(X1)=X3)). 2.93/3.11 cnf(i_0_2862, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk168_4(X1,X2,X3,X4)),esk167_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X1)))). 2.93/3.11 cnf(i_0_571, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2))),X3),hAPP(c_Option_Ooption_OSome(X2),esk30_4(X3,X4,X2,X1)))=X4|hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))!=c_Map_Odom(X1,X2,X4))). 2.93/3.11 cnf(i_0_5351, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|c_Fun_Oinj__on(X3,X4,X5,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X3,tc_HOL_Obool)),X1),X6))|hBOOL(hAPP(hAPP(c_member(X2),esk361_6(X6,X5,X4,X3,X2,X1)),X1)))). 2.93/3.11 cnf(i_0_3884, plain, (hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_2765, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_2781, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_5477, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X3))))=c_Groups_Oone__class_Oone(X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_1426, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X5,X2),X6),hAPP(c_Set_Oimage(X1,X5,X7),X4))|hBOOL(hAPP(hAPP(c_member(X1),esk81_8(X6,X3,hAPP(c_Set_Oimage(X1,X5,X7),X4),X4,X7,X5,X1,X2)),X4))|~class_Groups_Ocomm__monoid__mult(X2)|~c_Fun_Oinj__on(X1,X5,X7,X4))). 2.93/3.11 cnf(i_0_3887, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~class_Fields_Olinordered__field__inverse__zero(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 2.93/3.11 cnf(i_0_4402, plain, (hAPP(c_Finite__Set_Ocard(X1),X2)=hAPP(c_Finite__Set_Ocard(X3),X4)|~c_Fun_Oinj__on(X3,X1,X5,X4)|~c_Fun_Oinj__on(X1,X3,X6,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(c_Set_Oimage(X1,X3,X6),X2)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X3,X1,X5),X4)),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_1920, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X4),X3))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))). 2.93/3.11 cnf(i_0_2766, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_2782, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_769, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.93/3.11 cnf(i_0_5891, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2)),X3)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_521, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X5,X2),X6),hAPP(c_Set_Oimage(X1,X5,X7),X4))|hBOOL(hAPP(hAPP(c_member(X1),esk28_8(X6,X3,hAPP(c_Set_Oimage(X1,X5,X7),X4),X4,X7,X5,X1,X2)),X4))|~class_Groups_Ocomm__monoid__add(X2)|~c_Fun_Oinj__on(X1,X5,X7,X4))). 2.93/3.11 cnf(i_0_5104, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk342_3(X2,X3,X1)),esk342_3(X2,X3,X1))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olexord(X1,X3))))). 2.93/3.11 cnf(i_0_4984, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk328_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_2336, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk137_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_2864, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk167_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X1)))). 2.93/3.11 cnf(i_0_1786, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk107_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X4),X1)))). 2.93/3.11 cnf(i_0_3782, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_7084, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X3),X4)))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),esk477_4(X3,X2,X4,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_3696, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omin(X1)),X3),X4)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),esk249_4(X3,X2,X4,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_7189, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X5),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X4)))). 2.93/3.11 cnf(i_0_5113, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X5),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_3906, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(c_List_Ofilter(X1,X2),X3))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X3))))). 2.93/3.11 cnf(i_0_764, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X4),X2)))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),esk40_4(X2,X4,X3,X1)),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2669, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omax(X1)),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),esk153_4(X2,X4,X3,X1)),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5201, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X4),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X4),X2),hAPP(c_COMBK(tc_fun(X4,tc_HOL_Obool),X1),X5))),hAPP(hAPP(c_Product__Type_OSigma(X1,X4),X3),hAPP(c_COMBK(tc_fun(X4,tc_HOL_Obool),X1),X5))))|~hBOOL(hAPP(hAPP(c_member(X4),X6),X5)))). 2.93/3.11 cnf(i_0_751, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),X6))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),hAPP(hAPP(X3,X5),X4)),X6)|~c_Finite__Set_Ofun__left__comm__idem(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_5734, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),X6))=hAPP(hAPP(X3,X5),hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),X6))|~c_Finite__Set_Ofun__left__comm__idem(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_2402, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3)))),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_1577, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),X1)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),X3))=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.11 cnf(i_0_5693, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)),X1)=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X1)))). 2.93/3.11 cnf(i_0_5737, plain, (hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(X1,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(X1,X3))=c_Smallcheck_Osmall_H(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 2.93/3.11 cnf(i_0_7214, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 2.93/3.11 cnf(i_0_6138, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3)))). 2.93/3.11 cnf(i_0_6846, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X3)))). 2.93/3.11 cnf(i_0_3205, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X4),X5)|~c_Equiv__Relations_Ocongruent2(X6,X7,X8,X9,X10,X1)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X7,X7)),hAPP(hAPP(c_Product__Type_OPair(X7,X7),X3),X5)),X10))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X2),X4)),X9)))). 2.93/3.11 cnf(i_0_297, plain, (c_Wellfounded_Oacyclic(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk20_2(X2,X1)),esk20_2(X2,X1))),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 2.93/3.11 cnf(i_0_3288, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk199_3(X3,X2,X1))),X2)),X3)))). 2.93/3.11 cnf(i_0_5392, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|hBOOL(hAPP(X1,esk365_3(X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(X1,X2)))). 2.93/3.11 cnf(i_0_7092, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|hBOOL(hAPP(X1,esk478_3(X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(X1,X2)))). 2.93/3.11 cnf(i_0_1301, plain, (c_Wellfounded_Oacyclic(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk74_2(X2,X1)),esk74_2(X2,X1))),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 2.93/3.11 cnf(i_0_3869, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))),X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_3372, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk211_6(X3,X4,X5,X2,X1,X6)),esk212_6(X3,X4,X5,X2,X1,X6))=X6|hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_fun(X5,tc_HOL_Obool)),X3),X6))))). 2.93/3.11 cnf(i_0_3157, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_1847, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),X4))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))|hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X4)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))|hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_265, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)),X4)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))|hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))|hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X4)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_7221, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.11 cnf(i_0_2404, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,c_Groups_Otimes__class_Otimes(X1),X2,hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,c_Groups_Otimes__class_Otimes(X1),X3,X4),X5)))). 2.93/3.11 cnf(i_0_841, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X4),X2)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X4)))). 2.93/3.11 cnf(i_0_1167, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3))),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_3883, plain, (hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X1)))). 2.93/3.11 cnf(i_0_6040, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|X2=X3|~c_Equiv__Relations_Oequiv(X1,X4,X5)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X4),X5))))). 2.93/3.11 cnf(i_0_6465, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Lattices_Osemilattice__sup__class_Osup(X1)),X3)),c_Orderings_Obot__class_Obot(X1)),X4)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),hAPP(c_List_Oset(X2),X4)),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.11 cnf(i_0_4977, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Lattices_Osemilattice__inf__class_Oinf(X1)),X3)),c_Orderings_Otop__class_Otop(X1)),X4)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),hAPP(c_List_Oset(X2),X4)),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.11 cnf(i_0_5535, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))|hAPP(hAPP(X3,X8),X9)!=hAPP(hAPP(X3,X6),X7)|~c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X1),X8),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)|~hBOOL(hAPP(hAPP(c_member(X1),X8),X5)))). 2.93/3.11 cnf(i_0_189, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(X1),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_6093, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),X3)),c_Wellfounded_Ofinite__psubset(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5038, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),esk334_3(X1,X2,X3)),esk335_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X2))))). 2.93/3.11 cnf(i_0_4213, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),esk286_3(X1,X2,X3)),esk287_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 2.93/3.11 cnf(i_0_6116, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X2)),hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X3))=hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Oab__semigroup__idem__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_224, plain, (hAPP(c_Finite__Set_Ocard(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_Nat_Onat,X1),c_Finite__Set_Ocard(X2)),X4)),X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),hAPP(X4,esk14_4(X4,X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_306, plain, (X1=hAPP(hAPP(c_List_Oappend(X2),hAPP(hAPP(c_List_Odrop(X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)),X4)),X5)|hAPP(hAPP(c_List_Oappend(X2),X3),X1)!=hAPP(hAPP(c_List_Oappend(X2),X4),X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))))). 2.93/3.11 cnf(i_0_3234, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),esk187_3(X1,X2,X3)),esk188_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 2.93/3.11 cnf(i_0_7070, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),esk475_3(X1,X2,X3)),esk476_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 2.93/3.11 cnf(i_0_6334, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),esk427_3(X1,X2,X3)),esk428_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 2.93/3.11 cnf(i_0_1900, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X5)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_4995, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),X3)),X4)),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_2501, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X4)),hAPP(X2,X3))|~c_Finite__Set_Ofolding(X5,X1,X6,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 2.93/3.11 cnf(i_0_7091, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk478_3(X3,X1,X4)),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(X1,X2)))). 2.93/3.11 cnf(i_0_5391, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),esk365_3(X3,X1,X4))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(X1,X2)))). 2.93/3.11 cnf(i_0_6421, plain, (c_List_OtakeWhile(X1,hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),hAPP(c_Orderings_Oord__class_Oless(X2),X3)),X4),X5)=hAPP(c_List_Ofilter(X1,hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),hAPP(c_Orderings_Oord__class_Oless(X2),X3)),X4)),X5)|~c_List_Olinorder__class_Osorted(X2,hAPP(c_List_Orev(X2),hAPP(hAPP(c_List_Omap(X1,X2),X4),X5)))|~class_Orderings_Olinorder(X2))). 2.93/3.11 cnf(i_0_3785, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),X1)),X2)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),X1),X3))=hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,X1),X3),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),X1))))). 2.93/3.11 cnf(i_0_4374, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_4998, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk331_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),esk330_3(X1,X2,X3)))=X1|hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_2658, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk152_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),esk151_3(X1,X2,X3)))=X1|hBOOL(hAPP(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_2661, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),X3)),X4)),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),X4)))). 2.93/3.11 cnf(i_0_5805, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(X4,X2)),hAPP(X4,X3))))). 2.93/3.11 cnf(i_0_3842, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),hAPP(hAPP(c_COMBB(X1,X1,X2),hAPP(c_Groups_Otimes__class_Otimes(X1),X3)),X4)),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X4),X5)))|~class_Rings_Osemiring__0(X1))). 2.93/3.11 cnf(i_0_666, plain, (c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X5))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),X5))),hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),X4)))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~c_Fun_Oinj__on(X1,X2,X3,X5)|~c_Fun_Oinj__on(X1,X2,X3,X4))). 2.93/3.11 cnf(i_0_2065, plain, (c_Fun_Oinj__on(tc_prod(X1,X2),tc_prod(X3,X4),c_Product__Type_Omap__pair(X1,X3,X2,X4,X5,X6),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X7),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X8)))|~c_Fun_Oinj__on(X2,X4,X6,X8)|~c_Fun_Oinj__on(X1,X3,X5,X7))). 2.93/3.11 cnf(i_0_3641, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk242_5(X3,X4,X5,X1,X2)),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X3))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X5)))). 2.93/3.11 cnf(i_0_5839, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk391_5(X3,X4,X5,X1,X2)),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X5)),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X5)))). 2.93/3.11 cnf(i_0_3283, plain, (hAPP(X1,esk198_3(X2,X1,X3))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(X1,hAPP(c_Nat_OSuc,esk197_3(X2,X1,X3)))),hAPP(X1,esk197_3(X2,X1,X3))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X1,X3))))). 2.93/3.11 cnf(i_0_5875, plain, (hAPP(X1,esk396_3(X2,X1,X3))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(X1,hAPP(c_Nat_OSuc,esk395_3(X2,X1,X3)))),hAPP(X1,esk395_3(X2,X1,X3))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X1,X3))))). 2.93/3.11 cnf(i_0_4552, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.11 cnf(i_0_6439, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 2.93/3.11 cnf(i_0_2763, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_2771, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_5709, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Oone__class_Oone(X1))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_1547, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.11 cnf(i_0_3709, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Olinordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5)))). 2.93/3.11 cnf(i_0_2423, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X5)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X5),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.11 cnf(i_0_3760, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X5)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X5),X3)))). 2.93/3.11 cnf(i_0_5691, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_4325, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),hAPP(hAPP(c_COMBB(X1,X1,X2),c_Groups_Oabs__class_Oabs(X1)),X3)),X4)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_987, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_7065, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Oordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.11 cnf(i_0_969, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Oordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.11 cnf(i_0_2851, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X5)))|~class_Fields_Olinordered__field(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X5),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 2.93/3.11 cnf(i_0_2858, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X2,X1,X3),X4)),hAPP(c_Relation_OImage(X2,X1,X3),X5))=hAPP(c_Relation_OImage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~c_Relation_Osingle__valued(X1,X2,hAPP(c_Relation_Oconverse(X2,X1),X3)))). 2.93/3.11 cnf(i_0_2764, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk164_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_2772, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk162_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_1557, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X5),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_4071, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_382, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_4437, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)|hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 2.93/3.11 cnf(i_0_4160, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X4)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X2))),c_Int_Ointrel)))). 2.93/3.11 cnf(i_0_6738, plain, (c_Equiv__Relations_Ocongruent(X1,X2,X3,X4)|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X2),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X2,tc_HOL_Obool,X1)),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),c_fequal),X4))),X4)),esk453_4(X4,X3,X2,X1))))). 2.93/3.11 cnf(i_0_3150, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5))=hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~c_Fun_Oinj__on(X2,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))). 2.93/3.11 cnf(i_0_3507, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X5),X6)))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(X3,esk220_6(X5,X3,X4,X6,X2,X1))),hAPP(X5,esk220_6(X5,X3,X4,X6,X2,X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 2.93/3.11 cnf(i_0_2178, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X1)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),X2)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2)|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1))). 2.93/3.11 cnf(i_0_4772, plain, (hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Int_Onat)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),X1),X2)|~c_Nat__Transfer_Onat__set(X2)|~c_Nat__Transfer_Onat__set(X1))). 2.93/3.11 cnf(i_0_537, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3))),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X1)))). 2.93/3.11 cnf(i_0_6622, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X3),tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OSigma(X3,X3),X4),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X3),X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),c_Transitive__Closure_Ortrancl(X3,X5))))). 2.93/3.11 cnf(i_0_5106, plain, (c_Map_Omap__of(X1,X2,X3)=c_Map_Omap__of(X1,X2,X4)|hAPP(c_List_Oset(tc_prod(X1,X2)),X3)!=hAPP(c_List_Oset(tc_prod(X1,X2)),X4)|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X4)))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X3))))). 2.93/3.11 cnf(i_0_3658, plain, (hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X2))))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.11 cnf(i_0_4272, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3))),X4)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_4169, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3)),X4)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X4)))). 2.93/3.11 cnf(i_0_1943, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),hAPP(c_List_Oset(tc_prod(X1,X1)),hAPP(hAPP(c_List_Ozip(X1,X1),X3),X3))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 2.93/3.11 cnf(i_0_6505, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))|~class_Int_Onumber(X1)|~class_Rings_Oring(X1))). 2.93/3.11 cnf(i_0_5408, plain, (c_Map_Oran(X1,X2,c_Map_Omap__of(X1,X2,X3))=hAPP(c_Relation_ORange(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X3))))). 2.93/3.11 cnf(i_0_4039, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),esk276_3(X3,X2,X1)),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),c_Transitive__Closure_Ortrancl(X1,X3)))))). 2.93/3.11 cnf(i_0_5913, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk397_5(X2,X3,X4,X5,X1)),esk398_5(X2,X3,X4,X5,X1))=X5|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel(X1,X2))))). 2.93/3.11 cnf(i_0_3841, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk260_5(X2,X3,X4,X5,X1)),esk261_5(X2,X3,X4,X5,X1))=X3|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)),X3)),c_List_Olistrel(X1,X2))))). 2.93/3.11 cnf(i_0_2751, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_2759, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_6403, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2),X3)))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_7158, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk483_4(X4,X1,X3,X2)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_5692, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X3))|~class_Rings_Osemiring(X1)|~class_Int_Onumber(X1))). 2.93/3.11 cnf(i_0_790, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(c_Map_Omap__of(X3,X1,hAPP(c_List_Ofilter(tc_prod(X3,X1),hAPP(c_Product__Type_Oprod_Oprod__case(X3,X1,tc_HOL_Obool),X4)),X5)),X6)|hAPP(c_Option_Ooption_OSome(X1),X2)!=hAPP(c_Map_Omap__of(X3,X1,X5),X6)|~hBOOL(hAPP(hAPP(X4,X6),X2)))). 2.93/3.11 cnf(i_0_2588, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),c_Big__Operators_Olattice__class_OSup__fin(X1,X2)),X2))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),esk149_2(X2,X1)),esk150_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk149_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk150_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_4785, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),c_Big__Operators_Olattice__class_OInf__fin(X1,X2)),X2))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),esk312_2(X2,X1)),esk313_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk312_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk313_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_5272, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk356_4(X4,X3,X2,X1)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_3604, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))))). 2.93/3.11 cnf(i_0_3531, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,X1),c_Int_Onat),X2)),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,tc_Int_Oint),X2),X3)|hBOOL(hAPP(hAPP(c_member(X1),esk222_3(X2,X3,X1)),X3)))). 2.93/3.11 cnf(i_0_5017, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,X1),c_Int_Onat),X2)),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Int_Oint),X2),X3)|hBOOL(hAPP(hAPP(c_member(X1),esk332_3(X2,X3,X1)),X3)))). 2.93/3.11 cnf(i_0_4170, plain, (hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3))=hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X4))|c_Map_Omap__of(X1,X2,X3)!=c_Map_Omap__of(X1,X2,X4))). 2.93/3.11 cnf(i_0_6478, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(X2,X3)),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X4,X1),X2),c_List_Oremove1(X4,X3,X5))))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X4,X1),X2),X5))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_member(X4),X3),hAPP(c_List_Oset(X4),X5))))). 2.93/3.11 cnf(i_0_5470, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk372_4(X2,X3,X4,X1)),esk373_4(X2,X3,X4,X1))),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X3)),c_List_Olistrel1(X1,X2))))). 2.93/3.11 cnf(i_0_5964, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3),X4),X1)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3),X5),X1)))|~class_Groups_Oordered__cancel__ab__semigroup__add(X3)|~class_Groups_Ocomm__monoid__add(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(X4,esk403_5(X5,X4,X1,X2,X3))),hAPP(X5,esk403_5(X5,X4,X1,X2,X3))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_2752, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk162_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_2760, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk164_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_4398, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3))),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X1)))). 2.93/3.11 cnf(i_0_5037, plain, (esk335_3(X1,X2,X3)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(X1,esk335_3(X1,X2,X3)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,esk334_3(X1,X2,X3),esk335_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X2))))). 2.93/3.11 cnf(i_0_2803, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(X2,X3)),hAPP(X2,X4))),X5))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X4)),hAPP(hAPP(c_Relation_Oinv__image(X1,X6),X5),X2))))). 2.93/3.11 cnf(i_0_3300, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk203_5(X2,X3,X4,X5,X1)),hAPP(X3,esk202_5(X2,X3,X4,X5,X1))))|hBOOL(hAPP(X2,X6))|~hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X1,tc_HOL_Obool)),X4),X3))))). 2.93/3.11 cnf(i_0_4041, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),c_Transitive__Closure_Ortrancl(X1,X3))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4)))). 2.93/3.11 cnf(i_0_3609, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)),X4)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk234_5(X4,X5,X3,X1,X2)),X5))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_7356, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X4))))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk497_5(X4,X5,X3,X1,X2)),X5))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_2850, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(c_List_Ofilter(X2,hAPP(hAPP(c_COMBC(X2,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),X2),c_fequal),X3)),hAPP(X4,X5))),X5)))|~class_Orderings_Olinorder(X1))). 2.93/3.11 cnf(i_0_6095, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X2)),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))=c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_6525, plain, (hBOOL(hAPP(hAPP(X1,esk442_7(X2,X3,X4,X5,X6,X7,X1)),esk441_7(X2,X3,X4,X5,X6,X7,X1)))|hBOOL(hAPP(X4,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X7,X6,X2),X3),X5)))|~hBOOL(hAPP(hAPP(X1,hAPP(c_Product__Type_Osnd(X7,X6),X5)),hAPP(c_Product__Type_Ofst(X7,X6),X5))))). 2.93/3.11 cnf(i_0_2945, plain, (hAPP(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3),X4))=hAPP(hAPP(X5,hAPP(X1,X3)),hAPP(X1,X4))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~c_Finite__Set_Ofolding__image__simple(X6,X2,X5,X7,X8,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_3162, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 2.93/3.11 cnf(i_0_5836, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))=c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_5521, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),hAPP(c_List_Ofilter(X1,X5),X6))=hAPP(c_List_Ofilter(X1,X5),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X6))|~c_List_Olinorder__class_Osorted(X2,hAPP(hAPP(c_List_Omap(X1,X2),X3),X6))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(X5,X4)))). 2.93/3.11 cnf(i_0_7438, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk502_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk501_3(X1,X2,X3)))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk500_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk499_3(X1,X2,X3)))=X2|epred1_3(X3,X2,X1))). 2.93/3.11 cnf(i_0_7335, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X3),X4))|c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))=X3|X4=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one(X5,X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 2.93/3.11 cnf(i_0_1849, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4)),X5)),X6)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)),X6))))). 2.93/3.11 cnf(i_0_7162, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4)),X5)),X6)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)),X6))))). 2.93/3.11 cnf(i_0_5044, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)),X6))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6))))). 2.93/3.11 cnf(i_0_3954, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)),X6))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6))))). 2.93/3.11 cnf(i_0_3406, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_3614, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_6434, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2))),X3)|hBOOL(hAPP(c_Nat__Numeral_Oneg,X2))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.11 cnf(i_0_4055, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),c_List_Oremove1(X1,X4,X5))=X5|hAPP(c_List_Ohd(X1),hAPP(c_List_Ofilter(X1,hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),hAPP(c_fequal,hAPP(X3,X4))),X3)),X5))!=X4|~c_List_Olinorder__class_Osorted(X2,hAPP(hAPP(c_List_Omap(X1,X2),X3),X5))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X5))))). 2.93/3.11 cnf(i_0_2424, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5))))). 2.93/3.11 cnf(i_0_783, plain, (X1=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X3),X4)),X5)),X6)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X5)),X6)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X5)),X1)|~class_Rings_Oring(X2))). 2.93/3.11 cnf(i_0_2228, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),hAPP(hAPP(c_List_Onth(X1),X3),X2)),c_List_Olist_ONil(X1)))=hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_OSuc,X2)),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_5667, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4))),hAPP(X2,X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_5468, plain, (hAPP(hAPP(c_List_Oappend(X1),esk374_4(X2,X3,X4,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk373_4(X2,X3,X4,X1)),esk375_4(X2,X3,X4,X1)))=X3|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X3)),c_List_Olistrel1(X1,X2))))). 2.93/3.11 cnf(i_0_5469, plain, (hAPP(hAPP(c_List_Oappend(X1),esk374_4(X2,X3,X4,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk372_4(X2,X3,X4,X1)),esk375_4(X2,X3,X4,X1)))=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X3)),c_List_Olistrel1(X1,X2))))). 2.93/3.11 cnf(i_0_2917, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)),X3)),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))),X3)))). 2.93/3.11 cnf(i_0_2531, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_6450, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk435_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk436_2(X1,X2)))))|hBOOL(hAPP(X1,esk438_2(X1,X2)))|hBOOL(hAPP(X1,esk435_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,X3)))). 2.93/3.11 cnf(i_0_6515, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)!=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_303, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)),X4))=hAPP(hAPP(c_List_Oappend(X1),X3),X4)|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)!=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_1578, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),X1)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),X3))=hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 2.93/3.11 cnf(i_0_3546, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),X6))=hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),hAPP(hAPP(X3,X5),X4)),X6)|hBOOL(hAPP(hAPP(c_member(X1),X5),X6))|~c_Finite__Set_Ofun__left__comm(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_816, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X4),X5))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X5),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))). 2.93/3.11 cnf(i_0_3264, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),esk192_3(X3,X2,X1)),esk193_3(X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(c_Finite__Set_Ocard(X1),esk191_3(X3,X2,X1))!=X3|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_836, plain, (hAPP(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X3),X4))=hAPP(c_Fun_Ocomp(X5,X5,X5,hAPP(X1,X3)),hAPP(X1,X4))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~c_Finite__Set_Ofolding(X2,X5,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_2802, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Oinv__image(X4,X1),X5),X6)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),hAPP(X6,X2)),hAPP(X6,X3))),X5)))). 2.93/3.11 cnf(i_0_5268, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk354_4(X1,X2,X3,X4)),esk353_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X4))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X2),X1)))). 2.93/3.11 cnf(i_0_6881, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk460_4(X1,X2,X3,X4)),esk459_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X2),X1)))). 2.93/3.11 cnf(i_0_2074, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_OSuc,X2)),X3)))=hAPP(hAPP(c_List_Olist__update(X1,X3),X2),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_3035, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),hAPP(c_Int_Onumber__class_Onumber__of(X1),X4)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X4))),X3)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_4766, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk310_4(X3,X4,X2,X1))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),c_Transitive__Closure_Ortrancl(X1,X3)))))). 2.93/3.11 cnf(i_0_2217, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk123_4(X2,X3,X4,X1)),X3)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X4),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 2.93/3.11 cnf(i_0_601, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,X2),X1),c_Rings_Oinverse__class_Odivide(X2)),X3)),X4)),X5)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5)),X4)|~class_Fields_Ofield(X2))). 2.93/3.11 cnf(i_0_3198, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),X4))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4))))|~c_Fun_Oinj__on(X2,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))). 2.93/3.11 cnf(i_0_1383, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))),X6)))|~class_Rings_Ocomm__ring(X1)|~class_Rings_Odvd(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X6)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X5)))). 2.93/3.11 cnf(i_0_6036, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Rings_Osemiring(X1)|~class_Int_Onumber(X1))). 2.93/3.11 cnf(i_0_5458, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),esk370_2(X2,X1)),esk371_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk370_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk371_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_4343, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X2)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),esk292_2(X2,X1)),esk293_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk292_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk293_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_4926, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk322_6(X3,X4,X2,X5,X6,X1)),esk323_6(X3,X4,X2,X5,X6,X1))),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X6)),X5),hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X6),X4),X3))))). 2.93/3.11 cnf(i_0_4925, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk323_6(X3,X4,X1,X5,X2,X6)),esk324_6(X3,X4,X1,X5,X2,X6))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X2)),X5),hAPP(hAPP(c_Relation_Orel__comp(X6,X1,X2),X4),X3))))). 2.93/3.11 cnf(i_0_1346, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Groups_Oabs__class_Oabs(X1),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X3)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),X4)))). 2.93/3.11 cnf(i_0_5270, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk353_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X4))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X2),X1)))). 2.93/3.11 cnf(i_0_6883, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk459_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X2),X1)))). 2.93/3.11 cnf(i_0_4549, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X4))))|~class_Lattices_Olattice(X1))). 2.93/3.11 cnf(i_0_42, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4))|~class_Int_Onumber(X1)|~class_Rings_Oring(X1))). 2.93/3.11 cnf(i_0_2694, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk156_4(X2,X3,X4,X1)),X4))|hBOOL(hAPP(hAPP(c_member(X1),esk155_4(X2,X3,X4,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3)))|~hBOOL(hAPP(X2,X5)))). 2.93/3.11 cnf(i_0_106, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X2),X1)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X3,X5),tc_prod(X3,X5))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X3,X5),tc_prod(X3,X5)),hAPP(hAPP(c_Product__Type_OPair(X3,X5),X2),X6)),hAPP(hAPP(c_Product__Type_OPair(X3,X5),X1),X7))),c_Wellfounded_Olex__prod(X3,X5,X4,X8))))). 2.93/3.11 cnf(i_0_6598, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),X4)))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3),hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1))),X4)),X2)))). 2.93/3.11 cnf(i_0_3006, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),X4)))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3),hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1))),X4)),X2)))). 2.93/3.11 cnf(i_0_4960, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))))|~class_Orderings_Olinorder(X1))). 2.93/3.11 cnf(i_0_2236, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X3),X4))))|~class_Lattices_Olattice(X1))). 2.93/3.11 cnf(i_0_1715, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))))|~class_Orderings_Olinorder(X1))). 2.93/3.11 cnf(i_0_6526, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),hAPP(hAPP(c_Relation_Orel__comp(X3,X3,X3),X4),c_Transitive__Closure_Ortrancl(X3,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),c_Transitive__Closure_Ortrancl(X3,X4))))). 2.93/3.11 cnf(i_0_5542, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)|hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~class_Groups_Oab__group__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_3781, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Random_Opick(X1,X2),X3)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,X1),X1),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,X1)),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),X3),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,X1),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,X1)),X2)))))). 2.93/3.11 cnf(i_0_6043, plain, (c_List_OtakeWhile(tc_List_Olist(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)))),X2)=c_List_Otranspose(X1,c_List_Otranspose(X1,X2))|~c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(X1))),X2))))). 2.93/3.11 cnf(i_0_1439, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)|~class_Rings_Osemiring(X1))). 2.93/3.11 cnf(i_0_1605, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)|c_Groups_Ozero__class_Ozero(X2)=hAPP(X3,X5)|hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~class_Fields_Ofield(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_2030, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X3),X4))|hAPP(X6,esk118_7(X4,X3,X2,X6,X7,X1,X5))!=X7|~c_Finite__Set_Ofolding__image__simple(X8,X5,X1,X7,X6,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 2.93/3.11 cnf(i_0_6648, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X4)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X1)))). 2.93/3.11 cnf(i_0_6647, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1,X2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3,X4)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X4),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X4)))). 2.93/3.11 cnf(i_0_6333, plain, (hBOOL(hAPP(hAPP(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),esk427_3(X1,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),esk428_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk428_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_3835, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk259_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),esk258_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,X4)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_7101, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,X2),X1),c_Groups_Otimes__class_Otimes(X2)),X3)),X4)),X5)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5)),X4)|~class_Rings_Osemiring__0(X2))). 2.93/3.11 cnf(i_0_4021, plain, (X1=X2|hAPP(c_List_Oset(X3),X1)!=hAPP(c_List_Oset(X3),X2)|~c_List_Olinorder__class_Osorted(X4,hAPP(hAPP(c_List_Omap(X3,X4),X5),X2))|~c_List_Olinorder__class_Osorted(X4,hAPP(hAPP(c_List_Omap(X3,X4),X5),X1))|~c_Fun_Oinj__on(X3,X4,X5,hAPP(c_List_Oset(X3),hAPP(hAPP(c_List_Oappend(X3),X1),X2)))|~class_Orderings_Olinorder(X4)|~hBOOL(hAPP(c_List_Odistinct(X4),hAPP(hAPP(c_List_Omap(X3,X4),X5),X2)))|~hBOOL(hAPP(c_List_Odistinct(X4),hAPP(hAPP(c_List_Omap(X3,X4),X5),X1))))). 2.93/3.11 cnf(i_0_3836, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk258_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),esk259_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,X4)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_2253, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X6),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X5))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),esk126_8(X3,X6,X5,X5,X4,X4,X1,X2)))|~class_Orderings_Oord(X1)|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.11 cnf(i_0_2252, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X6),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X5))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),esk126_8(X3,X6,X5,X5,X4,X4,X1,X2)),X5))|~class_Orderings_Oord(X1)|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.11 cnf(i_0_5045, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_5283, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(c_Set_Oimage(X1,X1,X2),X3))=hAPP(X2,c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(X2,esk357_3(X3,X2,X1))),hAPP(X2,esk358_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),esk357_3(X3,X2,X1)),esk358_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_1851, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(c_Set_Oimage(X1,X1,X2),X3))=hAPP(X2,c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(X2,esk111_3(X3,X2,X1))),hAPP(X2,esk112_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),esk111_3(X3,X2,X1)),esk112_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_6867, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Oone__class_Oone(X1))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_2680, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))))). 2.93/3.11 cnf(i_0_3183, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 2.93/3.11 cnf(i_0_1210, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(X1),X2)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_5426, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),hAPP(hAPP(c_List_Onth(X1),X3),X2)),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_OSuc,X2)),X3)))=X3|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_1755, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),c_Nat_Osemiring__1__class_Oof__nat(X1)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.11 cnf(i_0_3282, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk198_3(X1,X2,X3)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(X2,hAPP(c_Nat_OSuc,esk197_3(X1,X2,X3)))),hAPP(X2,esk197_3(X1,X2,X3))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3))))). 2.93/3.11 cnf(i_0_5876, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk396_3(X1,X2,X3)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(X2,hAPP(c_Nat_OSuc,esk395_3(X1,X2,X3)))),hAPP(X2,esk395_3(X1,X2,X3))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3))))). 2.93/3.11 cnf(i_0_1911, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_5666, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),hAPP(c_Set_Oimage(X2,tc_Option_Ooption(X1),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X2,tc_Option_Ooption(X1)),X3),X4),hAPP(c_Option_Ooption_OSome(X1),X5))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),hAPP(c_Set_Oimage(X2,tc_Option_Ooption(X1),X3),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))))). 2.93/3.11 cnf(i_0_1525, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(c_Finite__Set_Ofold(X3,X4,X1),X5),X6))=hAPP(hAPP(c_Finite__Set_Ofold(X3,X4,X1),X5),hAPP(hAPP(c_Set_Oinsert(X3),X2),X6))|hBOOL(hAPP(hAPP(c_member(X3),X2),X6))|~c_Finite__Set_Ofun__left__comm(X3,X4,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X6)))). 2.93/3.11 cnf(i_0_6330, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Finite__Set_Ocard(X2),X4))),X5)))|hBOOL(hAPP(hAPP(c_member(X2),esk426_5(X5,X3,X4,X2,X1)),X4))|~class_Groups_Oordered__ab__semigroup__add(X1)|~class_Rings_Osemiring__1(X1))). 2.93/3.11 cnf(i_0_5870, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))),hAPP(X2,hAPP(c_Nat_OSuc,X4)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,hAPP(c_Nat_OSuc,X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X4)),X3))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_755, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X2)),hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X3))=hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_114, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),X5))|~c_Equiv__Relations_Ocongruent(X2,tc_fun(X1,tc_HOL_Obool),X6,X4)|~c_Equiv__Relations_Oequiv(X2,X7,X6)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(X4,esk8_7(X5,X3,X4,X1,X6,X7,X2))),X5))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_Equiv__Relations_Oquotient(X2),X7),X6))))). 2.93/3.11 cnf(i_0_2717, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~class_Groups_Oab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_67, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),hAPP(c_Finite__Set_Ofold1(X2,c_Groups_Otimes__class_Otimes(X2)),X1)),X1))|~class_Groups_Oab__semigroup__mult(X2)|~hBOOL(hAPP(hAPP(c_member(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),esk5_2(X1,X2)),esk6_2(X1,X2))),hAPP(hAPP(c_Set_Oinsert(X2),esk5_2(X1,X2)),hAPP(hAPP(c_Set_Oinsert(X2),esk6_2(X1,X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_1022, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X2),hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6)|esk53_6(X1,X3,X5,X6,X4,X2)!=esk52_6(X1,X3,X5,X6,X4,X2)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 2.93/3.11 cnf(i_0_308, plain, (X1=hAPP(hAPP(c_List_Oappend(X2),hAPP(hAPP(c_List_Odrop(X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)),X4)),X5)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)))|hAPP(hAPP(c_List_Oappend(X2),X3),X1)!=hAPP(hAPP(c_List_Oappend(X2),X4),X5))). 2.93/3.11 cnf(i_0_5452, plain, (hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))))=c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_4212, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk286_3(X1,X2,X3))),esk287_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk286_3(X1,X2,X3)),esk287_3(X1,X2,X3))))). 2.93/3.11 cnf(i_0_2639, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4))),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),X4))))|hAPP(c_Set_Oimage(X2,X1,X3),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_5130, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X2)),X1)),X1),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X2)),X1)))). 2.93/3.11 cnf(i_0_3697, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omin(X1)),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X1),esk249_4(X3,X2,X4,X1)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_7085, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X1),esk477_4(X3,X2,X4,X1)),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_765, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X4),X2)))|hBOOL(hAPP(hAPP(c_member(X1),esk40_4(X2,X4,X3,X1)),X3))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5129, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)),X2)),X2),X1))|hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.11 cnf(i_0_3303, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk201_5(X2,X3,X4,X5,X1)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X1,tc_HOL_Obool)),X4),X3)))|hBOOL(hAPP(X2,X6))|~hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(X3,X7)))|~hBOOL(hAPP(hAPP(c_member(X5),X7),X4)))). 2.93/3.11 cnf(i_0_1179, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(X3,esk64_5(X3,X4,X5,X2,X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_2939, plain, (hAPP(c_Set_Oimage(tc_prod(X1,X2),tc_prod(X3,X4),c_Product__Type_Omap__pair(X1,X3,X2,X4,X5,X6)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X3,X4),tc_HOL_Obool))|hAPP(c_Set_Oimage(X1,X3,X5),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))|hAPP(c_Set_Oimage(X2,X4,X6),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_5222, plain, (c_Map_Omap__add(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5)),X6)=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__add(X1,X2,X3,X6)),X4),hAPP(c_Option_Ooption_OSome(X2),X5))|hBOOL(hAPP(hAPP(c_member(X1),X4),c_Map_Odom(X1,X2,X6))))). 2.93/3.11 cnf(i_0_2670, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Orderings_Oord__class_Omax(X1)),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2)))|hBOOL(hAPP(hAPP(c_member(X1),esk153_4(X2,X4,X3,X1)),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_4570, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X3,X1,hAPP(c_Relation_Oconverse(X1,X3),X4)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3,tc_HOL_Obool)),X5)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X3,X4),X2)),X5)))). 2.93/3.11 cnf(i_0_3898, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3))=hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk267_3(X3,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_4105, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X2),c_List_Olinorder__class_Osorted__list__of__set(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_List_Olinorder__class_Osorted__list__of__set(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_1810, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))=hAPP(hAPP(c_List_Olist_OCons(X1),X5),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X6))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(X3,X4)),hAPP(X3,X5)))|~class_Orderings_Olinorder(X2))). 2.93/3.11 cnf(i_0_6369, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk429_3(X3,X2,X1)),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.11 cnf(i_0_3831, plain, (hAPP(X1,esk259_4(X2,X1,X3,X4))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(X1,hAPP(c_Nat_OSuc,esk258_4(X2,X1,X3,X4)))),hAPP(X1,esk258_4(X2,X1,X3,X4))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_5568, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X2),X1)),c_List_Olistrel1(X3,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),hAPP(hAPP(c_List_Olist_OCons(X3),X5),X2)),hAPP(hAPP(c_List_Olist_OCons(X3),X6),X1))),c_List_Olistrel1(X3,X4))))). 2.93/3.11 cnf(i_0_875, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X5)=hAPP(X5,X4)|~c_Equiv__Relations_Ocongruent(X1,tc_fun(X2,tc_HOL_Obool),X3,X5)|~c_Equiv__Relations_Oequiv(X1,X6,X3)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X6)))). 2.93/3.11 cnf(i_0_6368, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk430_3(X3,X2,X1)),hAPP(hAPP(c_Set_Oinsert(tc_fun(X1,tc_HOL_Obool)),X2),X3)))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 2.93/3.11 cnf(i_0_995, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk51_5(X3,X4,X5,X2,X1))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X4)),X3))))). 2.93/3.11 cnf(i_0_5122, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk343_5(X3,X4,X5,X2,X1))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X4)),X3))))). 2.93/3.11 cnf(i_0_1608, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk94_5(X2,X3,X4,X5,X1)),X4)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X3)),X2))))). 2.93/3.11 cnf(i_0_5565, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X1)))),X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_1672, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,X1)),X1))|~c_Finite__Set_Ofolding__one(X2,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X2),hAPP(hAPP(X4,esk103_4(X1,X3,X4,X2)),esk104_4(X1,X3,X4,X2))),hAPP(hAPP(c_Set_Oinsert(X2),esk103_4(X1,X3,X4,X2)),hAPP(hAPP(c_Set_Oinsert(X2),esk104_4(X1,X3,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_6695, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),c_Transitive__Closure_Ortrancl(X1,X3))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4),X3)))). 2.93/3.11 cnf(i_0_2218, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk123_4(X3,X4,X2,X1))),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),c_Transitive__Closure_Ortrancl(X1,X3)))))). 2.93/3.11 cnf(i_0_4767, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk310_4(X2,X3,X4,X1)),X3)),c_Transitive__Closure_Ortrancl(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X4),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 2.93/3.11 cnf(i_0_557, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5)),X6),X7)=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X6),X7)),X4),X5)|X4=X6)). 2.93/3.11 cnf(i_0_864, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)))),X3))),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_784, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X2)),X3)),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X5)|~class_Rings_Oring(X1))). 2.93/3.11 cnf(i_0_1020, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X2),hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6)|hAPP(X3,hAPP(X5,esk52_6(X1,X3,X5,X6,X4,X2)))!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 2.93/3.11 cnf(i_0_4297, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(X3,esk290_5(X3,X4,X5,X2,X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_3534, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),esk223_5(X4,X5,X2,X1,X3))),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),X5),X4))))). 2.93/3.11 cnf(i_0_1051, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),esk57_5(X4,X5,X1,X2,X3)),X1)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X2),X1)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),X5),X4))))). 2.93/3.11 cnf(i_0_3425, plain, (X1=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)),X4)),X5)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4)),X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.11 cnf(i_0_4728, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.11 cnf(i_0_2530, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_5179, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),X4),X5)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X6),X4),X5)|hAPP(X3,esk345_6(X4,X6,X3,X5,X2,X1))!=hAPP(X6,esk345_6(X4,X6,X3,X5,X2,X1))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_2405, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),X5)),hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X6),X7)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X2),tc_HOL_Obool)),X5),X7))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X3),tc_HOL_Obool)),X4),X6)))). 2.93/3.11 cnf(i_0_3065, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X4),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),hAPP(c_Relation_OImage(X1,X1,X4),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))))). 2.93/3.11 cnf(i_0_6329, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Finite__Set_Ocard(X2),X4))),X5)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X3,esk426_5(X5,X3,X4,X2,X1))),X5))|~class_Rings_Osemiring__1(X1))). 2.93/3.11 cnf(i_0_3642, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk241_5(X1,X2,X3,X4,X5)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X1))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_5840, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk390_5(X1,X2,X3,X4,X5)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X5),X3)),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_3269, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk191_3(X3,X2,X1)),X2))|esk193_3(X3,X2,X1)!=esk192_3(X3,X2,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_3100, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))))). 2.93/3.11 cnf(i_0_6693, plain, (hAPP(hAPP(c_List_Oappend(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)),hAPP(hAPP(c_List_Ozip(X1,X2),X5),X6))=hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X5)),hAPP(hAPP(c_List_Oappend(X2),X4),X6))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X6)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))). 2.93/3.11 cnf(i_0_6856, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X5),X6))=hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X5),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X6))|hAPP(X3,X4)=hAPP(X3,X5)|~class_Orderings_Olinorder(X2))). 2.93/3.11 cnf(i_0_6173, plain, (X1=X2|~c_Equiv__Relations_Oequiv(X3,X4,X5)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X2),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X1),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X6),X7)),X5))|~hBOOL(hAPP(hAPP(c_member(X3),X7),X1))|~hBOOL(hAPP(hAPP(c_member(X3),X6),X2)))). 2.93/3.11 cnf(i_0_6894, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk463_4(X2,X3,X4,X1)),X4))|hBOOL(hAPP(hAPP(c_member(X1),esk462_4(X2,X3,X4,X1)),X3))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X3))))). 2.93/3.11 cnf(i_0_1515, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),hAPP(X3,esk89_8(X4,X5,X3,X6,X7,X8,X2,X1))),hAPP(X5,esk90_8(X4,X5,X3,X6,X7,X8,X2,X1)))=X8|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),X8),hAPP(c_Set_Oimage(tc_prod(X7,X6),tc_prod(X1,X2),c_Product__Type_Omap__pair(X7,X1,X6,X2,X3,X5)),X4))))). 2.93/3.11 cnf(i_0_228, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X3),X4))=hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X3),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1)),X2),X4))|~class_Orderings_Olinorder(X1))). 2.93/3.11 cnf(i_0_7157, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk483_4(X1,X2,X3,X4)),esk482_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X4)))). 2.93/3.11 cnf(i_0_5271, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk356_4(X1,X2,X3,X4)),esk355_4(X1,X2,X3,X4))=X4|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X4),X2)))). 2.93/3.11 cnf(i_0_2549, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Set_Oinsert(X2),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_5626, plain, (hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),hAPP(c_Set_Oimage(X1,X1,X2),X3))=hAPP(X2,hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(X2,esk382_3(X3,X2,X1))),hAPP(X2,esk383_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),esk382_3(X3,X2,X1)),esk383_3(X3,X2,X1)))|~class_Lattices_Oab__semigroup__idem__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_3840, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk260_5(X3,X4,X5,X2,X1))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X5)),X4)),c_List_Olistrel(X1,X3))))). 2.93/3.11 cnf(i_0_5912, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk397_5(X2,X3,X4,X5,X1)),X4)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel(X1,X2))))). 2.93/3.11 cnf(i_0_1319, plain, (hBOOL(hAPP(hAPP(hAPP(X1,X2),X3),X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),X2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X4))))|~hBOOL(hAPP(hAPP(hAPP(X1,esk75_4(X1,X4,X3,X2)),esk76_4(X1,X4,X3,X2)),esk77_4(X1,X4,X3,X2))))). 2.93/3.11 cnf(i_0_3966, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3))),c_List_Olist_ONil(X1)))=hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_OSuc,X2)),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_1484, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X2))),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X4)))). 2.93/3.11 cnf(i_0_356, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3))),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X1)))). 2.93/3.11 cnf(i_0_4436, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)),hAPP(X2,X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 2.93/3.11 cnf(i_0_2804, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4)))). 2.93/3.11 cnf(i_0_2893, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)))). 2.93/3.11 cnf(i_0_3640, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk242_5(X1,X2,X3,X4,X5)),esk241_5(X1,X2,X3,X4,X5))=X5|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X1))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_5838, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk391_5(X1,X2,X3,X4,X5)),esk390_5(X1,X2,X3,X4,X5))=X5|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X5),X3)),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_3683, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Otake(X1),X4),hAPP(hAPP(c_List_Odrop(X1),X2),X3)))=hAPP(hAPP(c_List_Otake(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4)),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_3142, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5)|hBOOL(hAPP(hAPP(c_member(X1),esk180_5(X3,X4,X5,X1,X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),X4)))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_6743, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_6395, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_7121, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5)|hBOOL(hAPP(hAPP(c_member(X1),esk480_5(X3,X4,X5,X1,X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),X4)))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_3663, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X5)|hBOOL(hAPP(hAPP(c_member(X1),esk246_5(X3,X4,X5,X1,X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),X4)))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_4517, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X4)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X3),X5)|hBOOL(hAPP(hAPP(c_member(X1),esk303_5(X3,X4,X5,X1,X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),X4)))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_7159, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk482_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X4)))). 2.93/3.11 cnf(i_0_4880, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X5)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X5),X4))|~class_Groups_Oab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X5),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X5)))). 2.93/3.11 cnf(i_0_5273, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk355_4(X1,X2,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X4),X2)))). 2.93/3.11 cnf(i_0_6002, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X3,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X3),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))),hAPP(X6,X5))=hAPP(X2,X4)|~c_Finite__Set_Ofolding(X3,X1,X6,X2)|~hBOOL(hAPP(hAPP(c_member(X3),X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.11 cnf(i_0_6838, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X4))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X4),X5)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X5))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4)))). 2.93/3.11 cnf(i_0_5221, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)),X4)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.11 cnf(i_0_6574, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)),X4)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2)))). 2.93/3.11 cnf(i_0_5512, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X3)),X4)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_2598, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X3)),X4)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_890, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X3,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X3),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))),hAPP(X6,X5))=hAPP(X2,hAPP(hAPP(c_Set_Oinsert(X3),X5),X4))|~c_Finite__Set_Ofolding(X3,X1,X6,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.11 cnf(i_0_6159, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),c_Groups_Oone__class_Oone(X1))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),c_Groups_Oone__class_Oone(X1)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(c_Power_Opower__class_Opower(X1),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))|X2=c_Groups_Oone__class_Oone(X1)|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_3610, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)),X4)))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk233_5(X4,X5,X3,X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_7357, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X4))))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk496_5(X4,X5,X3,X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))). 2.93/3.11 cnf(i_0_5543, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(X3,X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X2),X5),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))))|~class_Groups_Oab__group__add(X1)|~hBOOL(hAPP(hAPP(c_member(X2),X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_7416, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X4),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),hAPP(c_Relation_OImage(X1,X1,X4),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5)))). 2.93/3.11 cnf(i_0_3537, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X3),esk223_5(X4,X1,X5,X3,X2))),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X3),X5)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),X1),X4))))). 2.93/3.11 cnf(i_0_1054, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),esk57_5(X3,X1,X4,X5,X2)),X4)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X5),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),X1),X3))))). 2.93/3.11 cnf(i_0_2546, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4))),hAPP(X2,X3))),c_Transitive__Closure_Ortrancl(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(X2,hAPP(c_Nat_OSuc,esk146_5(X4,X3,X5,X2,X1)))),hAPP(X2,esk146_5(X4,X3,X5,X2,X1)))),c_Transitive__Closure_Ortrancl(X1,X5))))). 2.93/3.11 cnf(i_0_2761, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 2.93/3.11 cnf(i_0_3878, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X4)),hAPP(X3,X5))|~class_Rings_Oring(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 2.93/3.11 cnf(i_0_2762, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk162_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk161_3(X1,X2,X3)))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk163_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 2.93/3.11 cnf(i_0_225, plain, (hAPP(c_Finite__Set_Ocard(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_Nat_Onat,X1),c_Finite__Set_Ocard(X2)),X4)),X3)|hBOOL(hAPP(hAPP(c_member(X1),esk14_4(X4,X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_7243, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),hAPP(hAPP(c_List_Oappend(X3),X5),hAPP(hAPP(c_List_Olist_OCons(X3),X1),c_List_Olist_ONil(X3)))),hAPP(hAPP(c_List_Oappend(X3),X6),hAPP(hAPP(c_List_Olist_OCons(X3),X2),c_List_Olist_ONil(X3))))),c_List_Olistrel1(X3,X4))))). 2.93/3.11 cnf(i_0_1601, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(X3,esk93_5(X3,X5,X4,X2,X1))!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_5782, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool)),X6),hAPP(hAPP(c_Set_Oinsert(X5),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))))=hAPP(X4,X6)|~c_Finite__Set_Ofolding__image__simple(X7,X5,X1,X8,X2,X4)|~hBOOL(hAPP(hAPP(c_member(X5),X3),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X6)))). 2.93/3.11 cnf(i_0_1576, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),X1)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),X3))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.11 cnf(i_0_6328, plain, (c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Omap(X1,tc_prod(X1,X2)),hAPP(hAPP(c_COMBS(X1,X2,tc_prod(X1,X2)),c_Product__Type_OPair(X1,X2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),X2,X1),c_Option_Othe(X2)),X3))),X4))=X3|hAPP(c_List_Oset(X1),X4)!=c_Map_Odom(X1,X2,X3))). 2.93/3.11 cnf(i_0_1606, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(X3,X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X2),X5),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))))|c_Groups_Ozero__class_Ozero(X1)=hAPP(X3,X5)|~class_Fields_Ofield(X1)|~hBOOL(hAPP(hAPP(c_member(X2),X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_2284, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(X3,esk129_5(X3,X5,X4,X2,X1))!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_3561, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(X3,esk226_5(X3,X5,X4,X2,X1))!=c_Groups_Oone__class_Oone(X1)|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_7166, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(X3,esk484_5(X3,X5,X4,X2,X1))!=c_Groups_Oone__class_Oone(X1)|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_1039, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),esk54_7(X1,X2,X4,X5,X6,X7,X3)),X7))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X5,tc_HOL_Obool)),X1),X4)!=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X5,tc_HOL_Obool)),X2),X4)|~c_Equiv__Relations_Ocongruent(X3,tc_fun(X5,tc_HOL_Obool),X6,X4)|~c_Equiv__Relations_Oequiv(X3,X7,X6)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X2),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X7),X6)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X1),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X7),X6))))). 2.93/3.11 cnf(i_0_4852, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool)),X6),hAPP(hAPP(c_Set_Oinsert(X5),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))))=hAPP(X4,hAPP(hAPP(c_Set_Oinsert(X5),X3),X6))|~c_Finite__Set_Ofolding__image__simple(X7,X5,X1,X8,X2,X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X6)))). 2.93/3.11 cnf(i_0_7255, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist__update(X1,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))),X5))=hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)),X4),X5)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_3426, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X1),X2)),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_1038, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),esk55_7(X1,X2,X4,X5,X6,X7,X3)),X7))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X5,tc_HOL_Obool)),X1),X4)!=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X5,tc_HOL_Obool)),X2),X4)|~c_Equiv__Relations_Ocongruent(X3,tc_fun(X5,tc_HOL_Obool),X6,X4)|~c_Equiv__Relations_Oequiv(X3,X7,X6)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X2),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X7),X6)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X1),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X7),X6))))). 2.93/3.11 cnf(i_0_2163, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))))). 2.93/3.11 cnf(i_0_1864, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(hAPP(c_List_Onth(X1),X2),esk113_4(X4,X3,X2,X1))),hAPP(hAPP(c_List_Onth(X1),X3),esk113_4(X4,X3,X2,X1)))),X4)))). 2.93/3.11 cnf(i_0_3608, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk234_5(X1,X2,X3,X4,X5)),esk233_5(X1,X2,X3,X4,X5))=X5|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X5),X3)),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_1036, plain, (X1=X2|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X4,tc_HOL_Obool)),X1),X5)!=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X4,tc_HOL_Obool)),X2),X5)|~c_Equiv__Relations_Ocongruent(X3,tc_fun(X4,tc_HOL_Obool),X6,X5)|~c_Equiv__Relations_Oequiv(X3,X7,X6)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),esk54_7(X1,X2,X5,X4,X6,X7,X3)),esk55_7(X1,X2,X5,X4,X6,X7,X3))),X6))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X2),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X7),X6)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X3,tc_HOL_Obool)),X1),hAPP(hAPP(c_Equiv__Relations_Oquotient(X3),X7),X6))))). 2.93/3.11 cnf(i_0_2040, plain, (hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X5)),X6))=hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X5)),hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),X6))|~c_Finite__Set_Ofolding(X7,X1,X3,X8))). 2.93/3.11 cnf(i_0_3830, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk259_4(X2,X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(X3,hAPP(c_Nat_OSuc,esk258_4(X2,X3,X4,X1)))),hAPP(X3,esk258_4(X2,X3,X4,X1))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X4)))). 2.93/3.11 cnf(i_0_7355, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk497_5(X1,X2,X3,X4,X5)),esk496_5(X1,X2,X3,X4,X5))=X5|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X1))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X4),X3)))). 2.93/3.11 cnf(i_0_240, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(c_List_Orev(X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_OSuc,X3))),X4)=hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_1437, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_3267, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk192_3(X3,X2,X1)),X2))|hAPP(c_Finite__Set_Ocard(X1),esk191_3(X3,X2,X1))!=X3|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_84, plain, (hAPP(hAPP(c_List_Onth(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4)),X5)=hAPP(hAPP(c_Product__Type_OPair(X1,X2),hAPP(hAPP(c_List_Onth(X1),X3),X5)),hAPP(hAPP(c_List_Onth(X2),X4),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X5),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X5),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 2.93/3.11 cnf(i_0_3832, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk259_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(X2,hAPP(c_Nat_OSuc,esk258_4(X1,X2,X3,X4)))),hAPP(X2,esk258_4(X1,X2,X3,X4))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),hAPP(X2,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(X2,X4)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)))). 2.93/3.11 cnf(i_0_2251, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X6),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4),X5))|hAPP(X3,esk126_8(X6,X3,X5,X5,X4,X4,X1,X2))!=hAPP(X6,esk126_8(X6,X3,X5,X5,X4,X4,X1,X2))|~class_Orderings_Oord(X1)|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.11 cnf(i_0_3266, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk193_3(X3,X2,X1)),X2))|hAPP(c_Finite__Set_Ocard(X1),esk191_3(X3,X2,X1))!=X3|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_6444, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Set_Oinsert(X2),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5))|~hBOOL(hAPP(hAPP(c_member(X1),X6),X3)))). 2.93/3.11 cnf(i_0_5127, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)),X2)),X2),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1))))). 2.93/3.11 cnf(i_0_3962, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(hAPP(c_List_Onth(X1),X2),esk271_4(X3,X4,X2,X1))),esk270_4(X3,X4,X2,X1))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X3))))). 2.93/3.11 cnf(i_0_5700, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|hAPP(c_Relation_OImage(X1,X1,X4),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=hAPP(c_Relation_OImage(X1,X1,X4),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5)))). 2.93/3.11 cnf(i_0_3925, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk268_5(X3,X4,X5,X1,X2))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X5),X4)),c_Wellfounded_Omax__ext(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X5)))). 2.93/3.11 cnf(i_0_6577, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,X2),X2,X1),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2),X5)),hAPP(c_COMBC(X4,X1,X2),X6)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2),X5),hAPP(hAPP(c_COMBB(tc_fun(X1,X2),X2,X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2),X3)),X6))|~class_Complete__Lattice_Ocomplete__lattice(X2))). 2.93/3.11 cnf(i_0_4920, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,X2),X2,X1),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X2),X5)),hAPP(c_COMBC(X4,X1,X2),X6)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X2),X5),hAPP(hAPP(c_COMBB(tc_fun(X1,X2),X2,X4),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2),X3)),X6))|~class_Complete__Lattice_Ocomplete__lattice(X2))). 2.93/3.11 cnf(i_0_2446, plain, (hAPP(hAPP(X1,hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X4),X5))),hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(X1,hAPP(X2,X4)),hAPP(X2,X5))|~c_Finite__Set_Ofolding__image__simple(X6,X3,X1,X7,X8,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.11 cnf(i_0_6307, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5)))|hBOOL(hAPP(hAPP(X3,esk424_5(X5,X4,X2,X1,X3)),esk425_5(X5,X4,X2,X1,X3))))). 2.93/3.11 cnf(i_0_6451, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk435_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk436_2(X1,X2)))))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk438_2(X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|hBOOL(hAPP(X1,esk435_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,X3)))). 2.93/3.11 cnf(i_0_5979, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_5033, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_3839, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),esk261_5(X3,X4,X2,X5,X1))),c_List_Olistrel(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X2)),X4)),c_List_Olistrel(X1,X3))))). 2.93/3.11 cnf(i_0_5077, plain, (c_FunDef_Oreduction__pair(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2))))). 2.93/3.11 cnf(i_0_5911, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),esk398_5(X2,X3,X4,X5,X1)),X3)),c_List_Olistrel(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel(X1,X2))))). 2.93/3.11 cnf(i_0_5480, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Otimes__class_Otimes(X1)),X3)),X4)),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))),X4)|~class_Rings_Osemiring__0(X1))). 2.93/3.11 cnf(i_0_1429, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_310, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_1820, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2))),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2))),X3)),X2)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.11 cnf(i_0_3268, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk191_3(X3,X2,X1)),X2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),esk192_3(X3,X2,X1)),esk193_3(X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_302, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)),X4))=hAPP(hAPP(c_List_Oappend(X1),X3),X4)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)!=X2)). 2.93/3.11 cnf(i_0_3668, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),hAPP(c_Fun_Ocomp(X3,X1,X2,X4),X5)),X6),X7)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X3,c_Groups_Otimes__class_Otimes(X1)),X4),X6),hAPP(c_Set_Oimage(X2,X3,X5),X7))|~class_Groups_Oab__semigroup__mult(X1)|~c_Fun_Oinj__on(X2,X3,X5,X7)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X7)))). 2.93/3.11 cnf(i_0_1848, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X5),X2)),X3)),X6))))). 2.93/3.11 cnf(i_0_7161, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X5),X2)),X3)),X6))))). 2.93/3.11 cnf(i_0_5043, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X5)),X3)),X4)),X6)))). 2.93/3.11 cnf(i_0_2854, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)))). 2.93/3.11 cnf(i_0_4235, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel1(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X5)))). 2.93/3.11 cnf(i_0_3214, plain, (c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Set_Oinsert(X1),X4),X5))|hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))))|~c_Fun_Oinj__on(X1,X2,X3,X5))). 2.93/3.11 cnf(i_0_1086, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X4,X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X4,X1),X2),hAPP(hAPP(c_Set_Oinsert(X4),X3),X5))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.11 cnf(i_0_3955, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Rings_Oordered__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X5)),X3)),X4)),X6)))). 2.93/3.11 cnf(i_0_3680, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBC(X1,X3,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X3,tc_fun(X3,tc_HOL_Obool),X1),c_fequal),X4)),hAPP(X4,esk247_4(X4,X3,X2,X1))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2))))). 2.93/3.11 cnf(i_0_1609, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk94_5(X3,X4,X5,X2,X1))),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X4),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X4)),X3))))). 2.93/3.11 cnf(i_0_994, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk51_5(X2,X3,X4,X5,X1)),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X3),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X3)),X2))))). 2.93/3.11 cnf(i_0_6587, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),hAPP(hAPP(c_Set_Oinsert(X4),X3),X5))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.11 cnf(i_0_5123, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk343_5(X2,X3,X4,X5,X1)),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X3),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X3)),X2))))). 2.93/3.11 cnf(i_0_5921, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X5),X4))))|~class_Groups_Oordered__ab__semigroup__add(X1)|~class_Groups_Omonoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X3,esk399_5(X5,X3,X4,X2,X1))),hAPP(X5,esk399_5(X5,X3,X4,X2,X1)))))). 2.93/3.11 cnf(i_0_568, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5))=hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~c_Fun_Oinj__on(X2,X1,X3,X6)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X5),X6))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X6)))). 2.93/3.11 cnf(i_0_40, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5))=hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~c_Fun_Oinj__on(X2,X1,X3,X6)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X5),X6))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X6)))). 2.93/3.11 cnf(i_0_5538, plain, (c_Map_Orestrict__map(X1,X2,X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Orestrict__map(X1,X2,X3,X4)),X5),c_Option_Ooption_ONone(X2))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 2.93/3.11 cnf(i_0_3152, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 2.93/3.11 cnf(i_0_4689, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X5)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|c_Groups_Ozero__class_Ozero(X1)=X3|X5=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_6284, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_Set_Oimage(X3,X1,X4),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X3,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X3),X6),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))))=hAPP(c_Set_Oimage(X3,X1,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X3,X1),X4),X6),X2)),X5)|~hBOOL(hAPP(hAPP(c_member(X3),X6),X5)))). 2.93/3.11 cnf(i_0_5180, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),X4),X5)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X6),X4),X5)|hBOOL(hAPP(hAPP(c_member(X2),esk345_6(X4,X3,X6,X5,X2,X1)),X5))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_4877, plain, (hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X4),X5))),hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X5)))=hAPP(c_Fun_Ocomp(X1,X1,X1,hAPP(X2,X4)),hAPP(X2,X5))|~c_Finite__Set_Ofolding(X3,X1,X6,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.11 cnf(i_0_7004, plain, (c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),hAPP(hAPP(c_List_Oappend(X2),X5),X6)))))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))). 2.93/3.11 cnf(i_0_3044, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4))),c_FunDef_Opair__less))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.11 cnf(i_0_1042, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4))),c_FunDef_Opair__leq))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X3)))). 2.93/3.11 cnf(i_0_448, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_1377, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X5)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|c_Groups_Ozero__class_Ozero(X1)=X5|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Fields_Ofield(X1))). 2.93/3.11 cnf(i_0_7333, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))),X6))|c_Groups_Oone__class_Oone(X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)|~class_Rings_Olinordered__semiring__1__strict(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X5),X6))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X6)))). 2.93/3.11 cnf(i_0_117, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))),X6))|c_Groups_Oone__class_Oone(X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)|~class_Rings_Olinordered__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X5),X6))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X6)))). 2.93/3.11 cnf(i_0_2087, plain, (c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X4),X5)),X6))))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X6))))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X6))). 2.93/3.11 cnf(i_0_3042, plain, (hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(c_Fun_Othe__inv__into(X2,X5,hAPP(c_Set_Oimage(X1,X2,X4),X3),X6),X7))=hAPP(c_Fun_Othe__inv__into(X1,X5,X3,hAPP(c_Fun_Ocomp(X2,X5,X1,X6),X4)),X7)|~c_Fun_Oinj__on(X2,X5,X6,hAPP(c_Set_Oimage(X1,X2,X4),X3))|~c_Fun_Oinj__on(X1,X2,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X5),X7),hAPP(c_Set_Oimage(X2,X5,X6),hAPP(c_Set_Oimage(X1,X2,X4),X3)))))). 2.93/3.11 cnf(i_0_5965, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3),X4),X1)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3),X5),X1)))|hBOOL(hAPP(hAPP(c_member(X2),esk403_5(X5,X4,X1,X2,X3)),X1))|~class_Groups_Oordered__cancel__ab__semigroup__add(X3)|~class_Groups_Ocomm__monoid__add(X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_2654, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X4,X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X4,X1),X2),X5)|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.11 cnf(i_0_7056, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Relation_Orel__comp(X1,X5,X2),X6),X7)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X2)),hAPP(hAPP(c_Product__Type_OPair(X5,X2),X8),X4)),X7))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X5)),hAPP(hAPP(c_Product__Type_OPair(X1,X5),X3),X8)),X6)))). 2.93/3.11 cnf(i_0_3508, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X5),X6)))|hBOOL(hAPP(hAPP(c_member(X2),esk220_6(X5,X3,X4,X6,X2,X1)),X4))|~class_Rings_Ocomm__semiring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 2.93/3.11 cnf(i_0_1177, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X1),X6),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),esk63_7(X6,X7,X5,X4,X3,X2,X1)))|~c_Finite__Set_Ofun__left__comm(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),X7))|~hBOOL(hAPP(hAPP(c_member(X1),X6),X5)))). 2.93/3.11 cnf(i_0_61, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_4770, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_6219, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_301, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)),X4))=hAPP(hAPP(c_List_Oappend(X1),X3),X4)|hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X2)),hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)),X4))!=X4|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)!=X2|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X2)!=X3)). 2.93/3.11 cnf(i_0_3343, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3)). 2.93/3.11 cnf(i_0_7131, plain, (hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X5,X6)),X7))=hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X5,X6)),hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),X7))|~c_Finite__Set_Ofolding(X8,X1,X3,X5)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X8),X6)))). 2.93/3.11 cnf(i_0_2821, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(c_Finite__Set_Ofold(X3,X4,X1),X5),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X3,tc_HOL_Obool)),X6),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))))=hAPP(hAPP(c_Finite__Set_Ofold(X3,X4,X1),X5),X6)|~c_Finite__Set_Ofun__left__comm(X3,X4,X1)|~hBOOL(hAPP(hAPP(c_member(X3),X2),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X6)))). 2.93/3.11 cnf(i_0_5125, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)),X2)),X2),X1))|hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),X1)),X2)))). 2.93/3.11 cnf(i_0_7140, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(c_Finite__Set_Ofold(X3,X4,X1),X5),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X3,tc_HOL_Obool)),X6),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))))=hAPP(hAPP(c_Finite__Set_Ofold(X3,X4,X1),X5),hAPP(hAPP(c_Set_Oinsert(X3),X2),X6))|~c_Finite__Set_Ofun__left__comm(X3,X4,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X6)))). 2.93/3.11 cnf(i_0_4810, plain, (hAPP(hAPP(X1,hAPP(hAPP(c_COMBS(X2,X3,X3),hAPP(hAPP(c_COMBB(X3,tc_fun(X3,X3),X2),X4),X5)),X6)),X7)=hAPP(hAPP(X4,hAPP(hAPP(X1,X5),X7)),hAPP(hAPP(X1,X6),X7))|~c_Finite__Set_Ofolding__image(X3,X2,X4,X8,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X7)))). 2.93/3.11 cnf(i_0_2045, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X3))),c_List_Olex(X1,X6))))). 2.93/3.11 cnf(i_0_1088, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4))|~hBOOL(hAPP(X5,esk59_5(X5,X3,X4,X2,X1))))). 2.93/3.11 cnf(i_0_1914, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),X1)),c_FunDef_Omax__weak))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1)))). 2.93/3.11 cnf(i_0_6301, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Product__Type_Ofst(X1,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(X1,X2),X3))),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,X1),X1),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,X1)),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,X1),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,X1)),X2)))))). 2.93/3.11 cnf(i_0_7329, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X3)),hAPP(hAPP(c_Set_Oinsert(X1),hAPP(hAPP(c_List_Onth(X1),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Olist__update(X1,X3),X4),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 2.93/3.11 cnf(i_0_4411, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)),X2),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5))))). 2.93/3.11 cnf(i_0_4826, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),hAPP(X3,X4)),hAPP(X5,X6))),hAPP(c_Set_Oimage(tc_prod(X7,X8),tc_prod(X1,X2),c_Product__Type_Omap__pair(X7,X1,X8,X2,X3,X5)),X9)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X7,X8)),hAPP(hAPP(c_Product__Type_OPair(X7,X8),X4),X6)),X9)))). 2.93/3.11 cnf(i_0_1524, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Fields_Olinordered__field__inverse__zero(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))). 2.93/3.11 cnf(i_0_6521, plain, (hAPP(hAPP(c_List_Otake(X1),esk440_4(X2,X3,X4,X1)),X3)=hAPP(hAPP(c_List_Otake(X1),esk440_4(X2,X3,X4,X1)),X4)|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)),X3)=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X3)),c_List_Olexord(X1,X2))))). 2.93/3.11 cnf(i_0_6452, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk435_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk436_2(X1,X2)))))|hBOOL(hAPP(X1,esk437_2(X1,X2)))|hBOOL(hAPP(X1,esk435_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X3),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~hBOOL(hAPP(X1,X3)))). 2.93/3.11 cnf(i_0_3271, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk192_3(X3,X2,X1)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk191_3(X3,X2,X1)),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_3270, plain, (hAPP(c_Finite__Set_Ocard(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk193_3(X3,X2,X1)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk191_3(X3,X2,X1)),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 2.93/3.11 cnf(i_0_1733, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(X2,X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),X5)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.11 cnf(i_0_3097, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))|~c_FunDef_Oreduction__pair(X1,X4)|~c_Wellfounded_Owf(X1,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4))))). 2.93/3.11 cnf(i_0_7240, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X1),X2)),c_List_Olistrel1(X3,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),hAPP(hAPP(c_List_Oappend(X3),X1),hAPP(hAPP(c_List_Olist_OCons(X3),X5),c_List_Olist_ONil(X3)))),hAPP(hAPP(c_List_Oappend(X3),X2),hAPP(hAPP(c_List_Olist_OCons(X3),X6),c_List_Olist_ONil(X3))))),c_List_Olistrel1(X3,X4))))). 2.93/3.11 cnf(i_0_2623, plain, (hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~c_Equiv__Relations_Oequiv(X1,X5,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X4)),X2)))). 2.93/3.11 cnf(i_0_5220, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X1)),X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X4)))). 2.93/3.11 cnf(i_0_6575, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X1)),X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X4)))). 2.93/3.11 cnf(i_0_5511, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X4)),X2)),X3)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X1)))). 2.93/3.11 cnf(i_0_2599, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X4)),X2)),X3)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X1)))). 2.93/3.11 cnf(i_0_4263, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5861, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),X6)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),hAPP(X4,esk394_6(X6,X4,X2,X5,X3,X1))),hAPP(X6,esk394_6(X6,X4,X2,X5,X3,X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X5)))). 2.93/3.11 cnf(i_0_1856, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Relation_OImage(X4,X2,X5)),X6))=hAPP(c_Relation_OImage(X4,X2,X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X4,tc_HOL_Obool)),X3),X6))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~c_Relation_Osingle__valued(X2,X4,hAPP(c_Relation_Oconverse(X4,X2),X5)))). 2.93/3.11 cnf(i_0_675, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)))). 2.93/3.11 cnf(i_0_669, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(c_Set_Oimage(X2,X1,X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X5),X4)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~c_Fun_Oinj__on(X2,X1,X3,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5)))). 2.93/3.11 cnf(i_0_5862, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),X6)))|hBOOL(hAPP(hAPP(c_member(X1),esk394_6(X6,X4,X2,X5,X3,X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X5)))). 2.93/3.11 cnf(i_0_4159, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4))),c_Int_Ointrel))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4))). 2.93/3.11 cnf(i_0_6309, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_List_Olistrel1(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel1(X1,X5))))). 2.93/3.11 cnf(i_0_6762, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_3811, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)))). 2.93/3.11 cnf(i_0_1906, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)!=hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X5))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5)))). 2.93/3.11 cnf(i_0_1024, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X2),hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6)|hBOOL(hAPP(hAPP(c_member(X4),esk52_6(X1,X3,X5,X6,X4,X2)),X6))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 2.93/3.11 cnf(i_0_3466, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X2),X4))),c_List_Olexord(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olexord(X1,X5))))). 2.93/3.11 cnf(i_0_4929, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X3),X2))))|~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)))). 2.93/3.11 cnf(i_0_1865, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk113_4(X4,X3,X2,X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))). 2.93/3.11 cnf(i_0_47, plain, (c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2))=hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X2))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_2956, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_1023, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X2),hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6)|hBOOL(hAPP(hAPP(c_member(X4),esk53_6(X1,X3,X5,X6,X4,X2)),X6))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 2.93/3.11 cnf(i_0_6172, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X6),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X5),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X6))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X6)))). 2.93/3.11 cnf(i_0_1021, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X2),hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6)|hAPP(X5,esk53_6(X1,X3,X5,X6,X4,X2))=hAPP(X5,esk52_6(X1,X3,X5,X6,X4,X2))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 2.93/3.11 cnf(i_0_2853, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_List_Olexord(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olexord(X1,X5))))). 2.93/3.11 cnf(i_0_4555, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_115, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),X4)),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk8_7(X5,X3,X4,X1,X6,X7,X2)),X7))|~c_Equiv__Relations_Ocongruent(X2,tc_fun(X1,tc_HOL_Obool),X6,X4)|~c_Equiv__Relations_Oequiv(X2,X7,X6)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_Equiv__Relations_Oquotient(X2),X7),X6))))). 2.93/3.11 cnf(i_0_105, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X5)),hAPP(hAPP(c_Product__Type_OPair(X5,X5),X6),X7)),X8))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X5,X1),tc_prod(X5,X1))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X5,X1),tc_prod(X5,X1)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X6),X2)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X7),X3))),c_Wellfounded_Olex__prod(X5,X1,X8,X4))))). 2.93/3.11 cnf(i_0_3204, plain, (c_Map_Orestrict__map(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),X5),X6)=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Orestrict__map(X1,X2,X3,X6)),X4),X5)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X6)))). 2.93/3.11 cnf(i_0_2042, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_List_Olex(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olex(X1,X5))))). 2.93/3.11 cnf(i_0_2232, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X2),X4))),c_List_Olistrel1(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel1(X1,X5))))). 2.93/3.11 cnf(i_0_2800, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(X2,X3)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X4,c_Groups_Otimes__class_Otimes(X1)),X2),X5),X6))=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X4,c_Groups_Otimes__class_Otimes(X1)),X2),X5),hAPP(hAPP(c_Set_Oinsert(X4),X3),X6))|hBOOL(hAPP(hAPP(c_member(X4),X3),X6))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 2.93/3.11 cnf(i_0_1037, plain, (hAPP(X1,esk55_7(X2,X3,X1,X4,X5,X6,X7))=hAPP(X1,esk54_7(X2,X3,X1,X4,X5,X6,X7))|X2=X3|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X7,tc_fun(X4,tc_HOL_Obool)),X2),X1)!=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X7,tc_fun(X4,tc_HOL_Obool)),X3),X1)|~c_Equiv__Relations_Ocongruent(X7,tc_fun(X4,tc_HOL_Obool),X5,X1)|~c_Equiv__Relations_Oequiv(X7,X6,X5)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X7,tc_HOL_Obool)),X3),hAPP(hAPP(c_Equiv__Relations_Oquotient(X7),X6),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X7,tc_HOL_Obool)),X2),hAPP(hAPP(c_Equiv__Relations_Oquotient(X7),X6),X5))))). 2.93/3.11 cnf(i_0_5584, plain, (hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X5)),X6))=hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X5)),hAPP(c_Fun_Ocomp(X1,X1,X2,hAPP(X3,X4)),X6))|~c_Finite__Set_Ofolding(X7,X1,X8,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X4)))). 2.93/3.11 cnf(i_0_965, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4)))). 2.93/3.11 cnf(i_0_2231, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X3))),c_List_Olistrel1(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X5))))). 2.93/3.11 cnf(i_0_1048, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4))),c_FunDef_Opair__less))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.11 cnf(i_0_5924, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4))),c_FunDef_Opair__leq))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X3)))). 2.93/3.11 cnf(i_0_3088, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice__class_OInf__fin(X1,X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_6264, plain, (c_HOL_OThe(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=c_Partial__Function_Oflat__lub(X1,X3,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))). 2.93/3.11 cnf(i_0_3961, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4))),c_List_Olistrel1(X1,X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(hAPP(c_List_Onth(X1),X2),X3)),X4)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_1514, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk89_8(X3,X4,X5,X2,X1,X6,X7,X8)),esk90_8(X3,X4,X5,X2,X1,X6,X7,X8))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X8,X7)),X6),hAPP(c_Set_Oimage(tc_prod(X1,X2),tc_prod(X8,X7),c_Product__Type_Omap__pair(X1,X8,X2,X7,X5,X4)),X3))))). 2.93/3.11 cnf(i_0_1862, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(hAPP(c_List_Onth(X1),X2),X3)),hAPP(hAPP(c_List_Onth(X1),X4),X3))),X5))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel(X1,X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 2.93/3.11 cnf(i_0_5922, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X5),X4))))|hBOOL(hAPP(hAPP(c_member(X2),esk399_5(X5,X3,X4,X2,X1)),hAPP(c_List_Oset(X2),X4)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~class_Groups_Omonoid__add(X1))). 2.93/3.11 cnf(i_0_6597, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBC(X2,tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),c_member(X2))),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X3))))). 2.93/3.11 cnf(i_0_3007, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBC(X2,tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),c_member(X2))),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X3))))). 2.93/3.11 cnf(i_0_1089, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5)))|hBOOL(hAPP(X3,esk59_5(X5,X3,X4,X2,X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_728, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice__class_OSup__fin(X1,X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_7349, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2))),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X3),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X3),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X3)))))). 2.93/3.11 cnf(i_0_5205, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),X2)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),X3)|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk348_4(X2,X4,X3,X1))),X3)!=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),esk348_4(X2,X4,X3,X1)))),X2))). 2.93/3.11 cnf(i_0_3711, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),X4))|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X2),X1)),X4))|~c_Relation_Ototal__on(X3,X5,X4)|~hBOOL(hAPP(hAPP(c_member(X3),X2),X5))|~hBOOL(hAPP(hAPP(c_member(X3),X1),X5)))). 2.93/3.11 cnf(i_0_2041, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X5)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)))). 2.93/3.11 cnf(i_0_5356, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_647, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 2.93/3.11 cnf(i_0_2348, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olinorder__class_OMin(X1,X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2855, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X6)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X3))),c_List_Olexord(X1,X4))))). 2.93/3.11 cnf(i_0_2046, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X6)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X3))),c_List_Olex(X1,X4))))). 2.93/3.11 cnf(i_0_5569, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X6)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X2)),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X3))),c_List_Olistrel1(X1,X4))))). 2.93/3.11 cnf(i_0_4146, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X5),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Ominus__class_Ominus(X1)),X3)),X5)),X4)|~class_Groups_Oab__group__add(X1))). 2.93/3.11 cnf(i_0_387, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X2),X3)))),hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Nitpick_ORep__Frac(X2),X3))))=c_Nitpick_Oof__frac(X2,X1,X3)|~class_Rings_Oinverse(X1)|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_5791, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk389_4(X2,X3,X4,X1)),hAPP(c_List_Oset(tc_prod(X1,X1)),hAPP(hAPP(c_List_Ozip(X1,X1),X4),X3))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X3)),c_List_Olistrel(X1,X2)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))). 2.93/3.11 cnf(i_0_5903, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),c_Com_Ocom_OWhile(X4,X5)),c_Hoare__Mirabelle_Opeek__and(X1,X3,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),X4)))))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),c_Hoare__Mirabelle_Opeek__and(X1,X3,X4)),X5),X3))))). 2.93/3.11 cnf(i_0_833, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olinorder__class_OMax(X1,X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_6177, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X5),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Oplus__class_Oplus(X1)),X3)),X5)),X4)|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_3170, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X6)))|~hBOOL(hAPP(hAPP(X5,esk181_6(X5,X6,X4,X3,X2,X1)),esk182_6(X5,X6,X4,X3,X2,X1))))). 2.93/3.11 cnf(i_0_3190, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X6),X4),X5)))|~hBOOL(hAPP(hAPP(X6,esk185_6(X3,X5,X4,X6,X2,X1)),esk186_6(X3,X5,X4,X6,X2,X1))))). 2.93/3.11 cnf(i_0_3250, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X5),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Otimes__class_Otimes(X1)),X3)),X5)),X4)|~class_Groups_Ocomm__monoid__mult(X1))). 2.93/3.11 cnf(i_0_1454, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),c_Com_Ocom_OWhile(X4,X5)),c_Hoare__Mirabelle_Opeek__and(X1,X3,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),X4)))))|~c_Hoare__Mirabelle_Ohoare__valids(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),c_Hoare__Mirabelle_Opeek__and(X1,X3,X4)),X5),X3))))). 2.93/3.11 cnf(i_0_5530, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),esk379_7(X6,X7,X2,X5,X4,X3,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),esk380_7(X6,X7,X2,X5,X4,X3,X1))|~c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X2,hAPP(hAPP(X4,X7),X6)))). 2.93/3.11 cnf(i_0_4946, plain, (hAPP(hAPP(X1,hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X4),X5))),hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(X1,hAPP(X2,X4)),hAPP(X2,X5))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X5)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one(X3,X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X4)))). 2.93/3.11 cnf(i_0_6518, plain, (hAPP(hAPP(c_List_Otake(X1),esk440_4(X2,X3,X4,X1)),X3)=hAPP(hAPP(c_List_Otake(X1),esk440_4(X2,X3,X4,X1)),X4)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X3)),c_List_Olexord(X1,X2))))). 2.93/3.11 cnf(i_0_5671, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X4))),c_Groups_Oone__class_Oone(tc_Nat_Onat))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_2579, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X1)),X2)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X4)))). 2.93/3.11 cnf(i_0_1435, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X4)),X2)),X3)),X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X1)))). 2.93/3.11 cnf(i_0_5684, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Big__Operators_Olattice__class_OInf__fin(X1,X2)),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_2632, plain, (hAPP(hAPP(X1,X2),hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))))=hAPP(X3,hAPP(hAPP(c_Set_Oinsert(X4),X2),X5))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one(X4,X1,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.11 cnf(i_0_1052, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),esk57_5(X4,X5,X2,X1,X3))),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),esk58_5(X4,X5,X2,X1,X3)),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),X2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),X5),X4))))). 2.93/3.11 cnf(i_0_3533, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),esk223_5(X4,X5,X1,X2,X3)),X1)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),esk224_5(X4,X5,X1,X2,X3)),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X2),X1)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),X5),X4))))). 2.93/3.11 cnf(i_0_5533, plain, (X1=hAPP(hAPP(X2,X3),X4)|c_Nitpick_Ofold__graph_H(X5,X6,X2,X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool)),X7),hAPP(hAPP(c_Set_Oinsert(X5),esk379_7(X4,X3,X7,X1,X2,X6,X5)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),esk380_7(X4,X3,X7,X1,X2,X6,X5))|~c_Nitpick_Ofold__graph_H(X5,X6,X2,X1,X7,hAPP(hAPP(X2,X3),X4)))). 2.93/3.11 cnf(i_0_2210, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olinorder__class_OMin(X1,X2)),c_Big__Operators_Olinorder__class_OMin(X1,X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_5401, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Big__Operators_Olattice__class_OSup__fin(X1,X2)),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_4621, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olinorder__class_OMax(X1,X2)),c_Big__Operators_Olinorder__class_OMax(X1,X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_2582, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,c_Groups_Otimes__class_Otimes(X1),X2,hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))),X5))|hBOOL(hAPP(hAPP(c_member(X1),X3),X4))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,c_Groups_Otimes__class_Otimes(X1),X3,X4),X5))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 2.93/3.11 cnf(i_0_2181, plain, (hAPP(hAPP(X1,X2),hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))))=hAPP(X3,X5)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Set_Oinsert(X4),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))|~c_Finite__Set_Ofolding__one(X4,X1,X3)|~hBOOL(hAPP(hAPP(c_member(X4),X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 2.93/3.11 cnf(i_0_1998, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X1),X2)),c_List_Olexord(X3,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X2),X1)),c_List_Olexord(X3,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),esk116_4(X1,X2,X4,X3)),esk117_4(X1,X2,X4,X3))),X4)))). 2.93/3.11 cnf(i_0_1999, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X1),X2)),c_List_Olexord(X3,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X2),X1)),c_List_Olexord(X3,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),esk117_4(X1,X2,X4,X3)),esk116_4(X1,X2,X4,X3))),X4)))). 2.93/3.11 cnf(i_0_6306, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_fequal,esk425_5(X5,X4,X2,X1,X3)))),X4),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(X5,esk424_5(X5,X4,X2,X1,X3)))))))). 2.93/3.11 cnf(i_0_5200, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X3),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4))),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X4))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X5))|~hBOOL(hAPP(hAPP(c_member(X2),X6),X4)))). 2.93/3.11 cnf(i_0_1102, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),X1)),c_FunDef_Omax__strict))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1)))). 2.93/3.11 cnf(i_0_3922, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X3),X1)),c_Wellfounded_Omax__ext(X2,X4)))|hBOOL(hAPP(hAPP(c_member(X2),esk269_4(X4,X1,X3,X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_1111, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),X2)),c_Wellfounded_Omax__ext(X1,X4)))|hBOOL(hAPP(hAPP(c_member(X1),esk61_4(X4,X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_7058, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)))),c_List_Olistrel1(X1,X6)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6)))). 2.93/3.11 cnf(i_0_2204, plain, (c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),hAPP(hAPP(c_List_Olist__update(X2,X5),X6),X7)))))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X6),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)),X6)))). 2.93/3.11 cnf(i_0_4208, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),X2))))))). 2.93/3.11 cnf(i_0_3411, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Nat_OSuc,X2)))|~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),X2))))))). 2.93/3.11 cnf(i_0_3843, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X4)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X2)),X6)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X2)),X6)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X6),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X5),X3)))). 2.93/3.11 cnf(i_0_6871, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~c_Equiv__Relations_Oequiv(X1,X5,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X4)),X2)))). 2.93/3.11 cnf(i_0_4375, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5)))))). 2.93/3.11 cnf(i_0_5339, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_408, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X4)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X2)),X6)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),X4)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X6),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X3),X5)))). 2.93/3.11 cnf(i_0_2809, plain, (hAPP(c_Finite__Set_Ocard(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X2),X3))=hAPP(c_Finite__Set_Ocard(X1),X2)|~c_Fun_Oinj__on(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X1),c_Equiv__Relations_Oquotient(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X3),X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_1055, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X3),esk57_5(X4,X1,X5,X3,X2))),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),esk58_5(X4,X1,X5,X3,X2)),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X3),X5)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),X1),X4))))). 2.93/3.11 cnf(i_0_3536, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),esk223_5(X3,X1,X4,X5,X2)),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),esk224_5(X3,X1,X4,X5,X2)),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X5),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),X1),X3))))). 2.93/3.11 cnf(i_0_1090, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5)))|hBOOL(hAPP(hAPP(c_member(X1),esk59_5(X5,X3,X4,X2,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 2.93/3.11 cnf(i_0_6839, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X5),X4))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Rings_Oinverse__class_Odivide(X1)),X3)),X5)),X4)|~class_Fields_Ofield__inverse__zero(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_1498, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_4320, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),X2)))=c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2))|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_479, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4)))). 2.93/3.11 cnf(i_0_3900, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)))). 2.93/3.11 cnf(i_0_1275, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_COMBC(X1,X2,tc_HOL_Obool),X3),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBS(X2,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X2),c_fconj),X5))),X3))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(X5,X4)))). 2.93/3.11 cnf(i_0_6519, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk440_4(X4,X3,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))))). 2.93/3.11 cnf(i_0_1180, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5)))|hBOOL(hAPP(hAPP(c_member(X2),esk64_5(X3,X4,X5,X2,X1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X5),X4)))|~class_Groups_Oordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_3558, plain, (hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 2.93/3.11 cnf(i_0_107, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)))). 2.93/3.11 cnf(i_0_372, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),esk22_3(X1,X2,X3)),hAPP(c_List_Oset(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(X3),tc_List_Olist(X3)),X2),X1))))|hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X1)!=hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X2))). 2.93/3.11 cnf(i_0_1616, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),esk95_3(X1,X2,X3)),hAPP(c_List_Oset(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(X3),tc_List_Olist(X3)),X2),X1))))|hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X1)!=hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X2))). 2.93/3.11 cnf(i_0_4317, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),c_List_Otranspose(X1,X2)),X3)),X4)=hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),X2),X4)),X3)|~c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(X1))),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X1)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),X2))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_List_Otranspose(X1,X2)))))). 2.93/3.11 cnf(i_0_3997, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X1)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2)),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),c_List_Otranspose(X1,X3)))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),X3),X2))|~c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(X1))),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),X3))))). 2.93/3.11 cnf(i_0_3793, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5),X4)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat),X2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X4))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X5))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_3919, plain, (hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X2),X3)))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3))|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_5750, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2354, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_Oimage(X4,X2,X5)),X6))=hAPP(c_Set_Oimage(X4,X2,X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X4,tc_HOL_Obool)),X3),X6))|~c_Fun_Oinj__on(X4,X2,X5,X7)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),hAPP(X6,esk139_8(X8,X6,X3,X1,X7,X5,X2,X4))),X7))|~hBOOL(hAPP(hAPP(c_member(X1),X8),X3)))). 2.93/3.11 cnf(i_0_6192, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4))))). 2.93/3.11 cnf(i_0_1477, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))))). 2.93/3.11 cnf(i_0_6939, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|c_Groups_Oone__class_Oone(tc_Nat_Onat)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))). 2.93/3.11 cnf(i_0_5194, plain, (~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_1875, plain, (~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))). 2.93/3.11 cnf(i_0_2009, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))=X2|X2=c_Groups_Oone__class_Oone(X1)|hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.93/3.11 cnf(i_0_108, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5))),c_Wellfounded_Olex__prod(X1,X2,X6,X7)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X5)),X7)))). 2.93/3.11 cnf(i_0_3794, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))))))). 2.93/3.11 cnf(i_0_4298, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5)))|hBOOL(hAPP(hAPP(c_member(X2),esk290_5(X3,X4,X5,X2,X1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X5),X4)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_5685, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel(X1,X6)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel(X1,X6)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)))). 2.93/3.11 cnf(i_0_3786, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(c_fequal,X3))),X4)),c_Groups_Ozero__class_Ozero(X2))),X5)=hAPP(X4,X3)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_2028, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X4),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X4,X3))),X5))))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_3857, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(c_fequal,X3))),X4)),c_Groups_Oone__class_Oone(X2))),X5)=hAPP(X4,X3)|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_5081, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))=c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5188, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_OwfP(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)))). 2.93/3.11 cnf(i_0_6171, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X4)),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X6)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X6),X3)),X5)))). 2.93/3.11 cnf(i_0_6287, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),hAPP(c_Nat_OSuc,X4)),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X6),X3)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X4),X5)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X6)),X5)))). 2.93/3.11 cnf(i_0_2922, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4))),hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X5)))))|~class_Groups_Oordered__ab__group__add__abs(X1))). 2.93/3.11 cnf(i_0_2000, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X1),X2)),c_List_Olexord(X3,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X3),tc_List_Olist(X3)),X2),X1)),c_List_Olexord(X3,X4)))|esk116_4(X1,X2,X4,X3)!=esk117_4(X1,X2,X4,X3))). 2.93/3.11 cnf(i_0_3787, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(c_fequal,X3))),X4)),c_Groups_Ozero__class_Ozero(X2))),X5)=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.11 cnf(i_0_3858, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(c_fequal,X3))),X4)),c_Groups_Oone__class_Oone(X2))),X5)=c_Groups_Oone__class_Oone(X2)|hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~class_Groups_Ocomm__monoid__mult(X2))). 2.93/3.11 cnf(i_0_5967, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X5))=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(X3,esk404_5(X3,X5,X4,X2,X1))!=c_Groups_Oone__class_Oone(X1)|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_1717, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5))),c_Recdef_Osame__fst(X1,X2,X6,X7)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X5)),hAPP(X7,X3)))|~hBOOL(hAPP(X6,X3)))). 2.93/3.11 cnf(i_0_3921, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X3),X1)),c_Wellfounded_Omax__ext(X2,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),esk269_4(X4,X1,X3,X2)),X5)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X5),X1))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 2.93/3.11 cnf(i_0_1110, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),X2)),c_Wellfounded_Omax__ext(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk61_4(X4,X2,X3,X1)),X5)),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_7039, plain, (hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),X1),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_Nat_Onat,X1),c_List_Onth(X1)),X2)),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X1)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2)),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),X3))=hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),c_List_Otranspose(X1,X3)),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_List_Otranspose(X1,X3)))))). 2.93/3.11 cnf(i_0_97, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X4),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X4,X3))),X5))))|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X1,X2),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))). 2.93/3.11 cnf(i_0_3126, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),c_Com_Ocom_OSemi(X4,X5)),X6)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X7),X5),X6)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X7))))). 2.93/3.11 cnf(i_0_6514, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))|hAPP(hAPP(c_List_Otake(X1),X5),X3)!=hAPP(hAPP(c_List_Otake(X1),X5),X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(hAPP(c_List_Onth(X1),X2),X5)),hAPP(hAPP(c_List_Onth(X1),X3),X5))),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))))). 2.93/3.11 cnf(i_0_5048, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk336_5(X3,X4,X5,X2,X1))),c_Transitive__Closure_Ortrancl(X1,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4),X3)))))). 2.93/3.11 cnf(i_0_977, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk49_5(X2,X3,X4,X5,X1)),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),X2)))))). 2.93/3.11 cnf(i_0_634, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)))),c_List_Olexord(X1,X7)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)))). 2.93/3.11 cnf(i_0_641, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5),X4)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat),X2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X4))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X3),X5))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_3580, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),X5))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),X2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),X5)))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),hAPP(c_Nat_OSuc,X4))))). 2.93/3.11 cnf(i_0_7273, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X5))=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_1905, plain, (hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3)=hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3)|~c_Equiv__Relations_Oequiv(X1,X5,X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3)))). 2.93/3.11 cnf(i_0_1959, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_6516, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk440_4(X1,X2,X3,X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X2))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X4),tc_List_Olist(X4))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X4),tc_List_Olist(X4)),X3),X2)),c_List_Olexord(X4,X1))))). 2.93/3.11 cnf(i_0_2416, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X2)),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_1059, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_2031, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),hAPP(X2,X4))=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X3),X4))|hBOOL(hAPP(hAPP(c_member(X5),esk118_7(X4,X3,X2,X6,X7,X1,X5)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X3),X4)))|~c_Finite__Set_Ofolding__image__simple(X8,X5,X1,X7,X6,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 2.93/3.11 cnf(i_0_6147, plain, (c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)),hAPP(hAPP(c_List_Olist_OCons(X2),X6),X7)))))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X5),X7))))|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X7)),X5)))))). 2.93/3.11 cnf(i_0_6520, plain, (hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(hAPP(c_List_Onth(X1),X2),esk440_4(X4,X3,X2,X1))),hAPP(hAPP(c_List_Onth(X1),X3),esk440_4(X4,X3,X2,X1)))),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))))). 2.93/3.11 cnf(i_0_1766, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_7242, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X6)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X6),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X4))))). 2.93/3.11 cnf(i_0_1142, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X4),c_Transitive__Closure_Ortrancl(X1,X4)))))). 2.93/3.11 cnf(i_0_5124, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X4))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5417, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X3),c_Groups_Oone__class_Oone(tc_Int_Oint))))))=hAPP(hAPP(c_HOL_OLet(X1,X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X3))),hAPP(hAPP(c_COMBS(X1,X1,X1),c_Groups_Otimes__class_Otimes(X1)),c_COMBI(X1)))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_1390, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBS(tc_Nat_Onat,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(X1)),X2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat),X2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))=c_Groups_Ozero__class_Ozero(X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4))|~class_Groups_Oab__group__add(X1))). 2.93/3.11 cnf(i_0_2848, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Osemiring__1(X1))). 2.93/3.11 cnf(i_0_4092, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|~class_Groups_Oab__group__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_1027, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),hAPP(c_Fun_Ocomp(tc_sum(X2,X3),X1,X2,X4),c_Sum__Type_OInl(X2,X3))),X5)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X1),hAPP(c_Fun_Ocomp(tc_sum(X2,X3),X1,X3,X4),c_Sum__Type_OInr(X3,X2))),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(X2,X3),X1),X4),c_Sum__Type_OPlus(X2,X3,X5,X6))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_2731, plain, (c_Equiv__Relations_Oequiv(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)|~c_Equiv__Relations_Oequivp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)))). 2.93/3.11 cnf(i_0_976, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk50_5(X2,X3,X4,X5,X1)),esk49_5(X2,X3,X4,X5,X1))),X2))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),X2)))))). 2.93/3.11 cnf(i_0_1903, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Osemiring__1(X1))). 2.93/3.11 cnf(i_0_1349, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X2)))). 2.93/3.11 cnf(i_0_2008, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.93/3.11 cnf(i_0_5047, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk336_5(X2,X3,X4,X5,X1)),esk337_5(X2,X3,X4,X5,X1))),X2))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X4)),c_Transitive__Closure_Ortrancl(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X3),X2)))))). 2.93/3.11 cnf(i_0_371, plain, (X1=X2|hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X1)!=hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X2)|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X3),tc_List_Olist(X3),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(X3),tc_fun(tc_List_Olist(X3),tc_Nat_Onat),tc_fun(tc_List_Olist(X3),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(X3),tc_Nat_Onat),tc_fun(tc_List_Olist(X3),tc_HOL_Obool)),tc_List_Olist(X3)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X3))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X3)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(X3))))),c_Nat_Osize__class_Osize(tc_List_Olist(X3)))),esk22_3(X1,X2,X3))))). 2.93/3.11 cnf(i_0_1614, plain, (X1=X2|hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X1)!=hAPP(c_List_Ofoldl(tc_List_Olist(X3),tc_List_Olist(X3),c_List_Oappend(X3),c_List_Olist_ONil(X3)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X1)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X3))),X2)|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X3),tc_List_Olist(X3),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(X3),tc_fun(tc_List_Olist(X3),tc_Nat_Onat),tc_fun(tc_List_Olist(X3),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(X3),tc_Nat_Onat),tc_fun(tc_List_Olist(X3),tc_HOL_Obool)),tc_List_Olist(X3)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X3))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X3)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(X3))))),c_Nat_Osize__class_Osize(tc_List_Olist(X3)))),esk95_3(X1,X2,X3))))). 2.93/3.11 cnf(i_0_2355, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_Oimage(X4,X2,X5)),X6))=hAPP(c_Set_Oimage(X4,X2,X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X4,tc_HOL_Obool)),X3),X6))|hBOOL(hAPP(hAPP(c_member(X1),esk139_8(X7,X6,X3,X1,X8,X5,X2,X4)),X3))|~c_Fun_Oinj__on(X4,X2,X5,X8)|~hBOOL(hAPP(hAPP(c_member(X1),X7),X3)))). 2.93/3.11 cnf(i_0_7088, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_843, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.93/3.11 cnf(i_0_6787, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))))=hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1))),c_COMBI(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_1602, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk93_5(X3,X5,X4,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_2285, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk129_5(X3,X5,X4,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_3562, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk226_5(X3,X5,X4,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_7167, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk484_5(X3,X5,X4,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_7411, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4)),c_Groups_Oone__class_Oone(X2))),X5)=hAPP(X4,X3)|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_6010, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4)),c_Groups_Ozero__class_Ozero(X2))),X5)=hAPP(X4,X3)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_891, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))),hAPP(c_Finite__Set_Ocard(X1),X2)))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_4256, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))),X4)),hAPP(hAPP(c_Set_Oinsert(X1),c_HOL_OThe(X1,hAPP(hAPP(c_COMBC(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),c_fequal),X4)),X3))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|~c_Fun_Oinj__on(X1,X2,X4,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))). 2.93/3.11 cnf(i_0_6820, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1),X2)),c_Int_Ointrel))|hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,X2))!=hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,X1)))). 2.93/3.11 cnf(i_0_3171, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5)))|hBOOL(hAPP(hAPP(X6,esk181_6(X5,X6,X4,X3,X2,X1)),esk182_6(X5,X6,X4,X3,X2,X1)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X6))))). 2.93/3.11 cnf(i_0_3191, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5)))|hBOOL(hAPP(hAPP(X3,esk185_6(X3,X5,X4,X6,X2,X1)),esk186_6(X3,X5,X4,X6,X2,X1)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X6),X4),X5))))). 2.93/3.11 cnf(i_0_6262, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk423_4(X3,X4,X2,X1))),X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(X1,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),esk423_4(X3,X4,X2,X1)))),X3))))). 2.93/3.11 cnf(i_0_5335, plain, (hAPP(c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Omap(tc_prod(X3,X2),tc_prod(X1,X2)),hAPP(c_Product__Type_Oprod_Oprod__case(X3,X2,tc_prod(X1,X2)),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_prod(X1,X2)),X3),c_Product__Type_OPair(X1,X2)),X4))),X5)),hAPP(X4,X6))=hAPP(c_Option_Ooption_OSome(X2),X7)|hAPP(c_Map_Omap__of(X3,X2,X5),X6)!=hAPP(c_Option_Ooption_OSome(X2),X7)|~c_Fun_Oinj__on(X3,X1,X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))). 2.93/3.11 cnf(i_0_2514, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)),X5)|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_6269, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_3960, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Ominus__class_Ominus(X1)),X3)),X4)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X4),X5)))|~class_Groups_Oab__group__add(X1))). 2.93/3.11 cnf(i_0_6278, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Oplus__class_Oplus(X1)),X3)),X4)),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))),hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X4),X5)))|~class_Groups_Ocomm__monoid__add(X1))). 2.93/3.11 cnf(i_0_593, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)),X5)|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_5476, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X3))))=hAPP(hAPP(c_HOL_OLet(X1,X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X3))),hAPP(hAPP(c_COMBS(X1,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Groups_Otimes__class_Otimes(X1)),hAPP(c_Groups_Otimes__class_Otimes(X1),X2))),c_COMBI(X1)))|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 2.93/3.11 cnf(i_0_6459, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_HOL_Obool)),X3),X4)),X5)|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 2.93/3.11 cnf(i_0_1452, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X6))))). 2.93/3.11 cnf(i_0_6675, plain, (c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4))=c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),X5))|hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),X3)))|hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4))),X6),hAPP(c_Option_Ooption_OSome(X2),X7))!=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__of(X1,X2,hAPP(hAPP(c_List_Ozip(X1,X2),X3),X5))),X6),hAPP(c_Option_Ooption_OSome(X2),X8))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))). 2.93/3.11 cnf(i_0_6415, plain, (c_Equiv__Relations_Ocongruent(X1,tc_fun(X2,tc_HOL_Obool),X3,hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_HOL_Obool)),hAPP(c_Relation_OImage(X4,X4,X5),hAPP(hAPP(c_Set_Oinsert(X4),X6),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool)))))),X7))|~c_Equiv__Relations_Ocongruent2(X1,X4,tc_fun(X2,tc_HOL_Obool),X3,X5,X7)|~c_Equiv__Relations_Oequiv(X4,X8,X5)|~c_Equiv__Relations_Oequiv(X1,X9,X3)|~hBOOL(hAPP(hAPP(c_member(X4),X6),X8)))). 2.93/3.11 cnf(i_0_6011, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4)),c_Groups_Ozero__class_Ozero(X2))),X5)=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.11 cnf(i_0_3056, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X4))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X2)))))))). 2.93/3.11 cnf(i_0_6624, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X4))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X2)))))))). 2.93/3.11 cnf(i_0_6517, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(hAPP(c_List_Onth(X1),X2),esk440_4(X3,X4,X2,X1))),hAPP(hAPP(c_List_Onth(X1),X4),esk440_4(X3,X4,X2,X1)))),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olexord(X1,X3))))). 2.93/3.11 cnf(i_0_6076, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X3)),X2)))). 2.93/3.11 cnf(i_0_1339, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,X1),X2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2)))=c_Nitpick_Onorm__frac(X1,X2)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_7410, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4)),c_Groups_Oone__class_Oone(X2))),X5)=c_Groups_Oone__class_Oone(X2)|hBOOL(hAPP(hAPP(c_member(X1),X3),X5))|~class_Groups_Ocomm__monoid__mult(X2))). 2.93/3.11 cnf(i_0_4410, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),c_Set_Oinsert(X1)),X3)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X4)=hAPP(c_Set_Oimage(X2,X1,X3),X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_4367, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3),X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X5)),X1))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X5),X1))))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X3,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X4),X5))))). 2.93/3.11 cnf(i_0_1778, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),X2),c_If(X1)),X4)),X5)),X6))=X4|hBOOL(hAPP(hAPP(c_member(X1),X6),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X3)))). 2.93/3.11 cnf(i_0_232, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1)),c_Int_Onat))))))). 2.93/3.11 cnf(i_0_2720, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1)),c_Int_Onat))))))). 2.93/3.11 cnf(i_0_3450, plain, (hAPP(c_Nat_OSuc,X1)=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)|~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),X1))))))). 2.93/3.11 cnf(i_0_1779, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),X2),c_If(X1)),X4)),X5)),X6))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X6),X3)))). 2.93/3.11 cnf(i_0_6877, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))|~c_Relation_Osingle__valued(X1,X1,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4))))). 2.93/3.11 cnf(i_0_4472, plain, (c_Orderings_Oorder_Omono(tc_Nat_Onat,X1,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2)|~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)|~class_Orderings_Oorder(X1))). 2.93/3.11 cnf(i_0_6730, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),X1),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),X3),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),X1)),X3)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(X3,esk452_3(X2,X1,X3))),hAPP(X1,esk452_3(X2,X1,X3)))))). 2.93/3.11 cnf(i_0_5279, plain, (c_Map_Omap__add(X1,X2,c_Map_Orestrict__map(X1,X2,X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(c_List_Oset(X1),X5))),c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X5),X6))))=c_Map_Orestrict__map(X1,X2,c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X5),X6)))),X4)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X6)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X5)),X4)))). 2.93/3.11 cnf(i_0_549, plain, (~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_2007, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))). 2.93/3.11 cnf(i_0_375, plain, (hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),X1),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_Nat_Onat,X1),c_List_Onth(X1)),X2)),hAPP(c_List_Ofilter(tc_List_Olist(X1),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(X1)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2)),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),c_List_Otranspose(X1,X3)))=hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),X3),X2)|~c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(X1))),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),X3))))). 2.93/3.11 cnf(i_0_2372, plain, (~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_1000, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2)),hAPP(c_COMBC(X3,X1,X2),X4))),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),hAPP(hAPP(c_COMBC(X3,tc_fun(X1,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(tc_fun(X1,tc_HOL_Obool),X2),X3),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2)),X4)),X6)),X5)|~class_Groups_Ocomm__monoid__add(X2))). 2.93/3.11 cnf(i_0_2707, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Relation_ORange(X3,X1),X4)))|~hBOOL(hAPP(c_Predicate_ORangeP(X3,X1,hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),c_COMBC(X1,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X3,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X1),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X3,X1)))),c_Product__Type_OPair(X3,X1)))),X4)),X2)))). 2.93/3.11 cnf(i_0_6049, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Relation_ODomain(X1,X3),X4)))|~hBOOL(hAPP(c_Predicate_ODomainP(X1,X3,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBC(X3,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X1,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X3),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X1,X3)))),c_Product__Type_OPair(X1,X3)))),X4)),X2)))). 2.93/3.11 cnf(i_0_1106, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),X2)|~class_Groups_Omonoid__mult(X1))). 2.93/3.11 cnf(i_0_4142, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.11 cnf(i_0_5611, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Groups_Omonoid__mult(X1))). 2.93/3.11 cnf(i_0_5627, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_6821, plain, (hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,X1))=hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1),X2)),c_Int_Ointrel)))). 2.93/3.11 cnf(i_0_2183, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),c_Com_Ocom_OCond(X4,X5,X6)),X7)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),c_Hoare__Mirabelle_Opeek__and(X1,X3,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),X4))),X6),X7)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),c_Hoare__Mirabelle_Opeek__and(X1,X3,X4)),X5),X7))))). 2.93/3.11 cnf(i_0_2425, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))),X6),hAPP(c_Option_Ooption_OSome(X2),X7))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X4)),hAPP(hAPP(c_List_Olist_OCons(X2),X7),X5)))))|hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),X4))))). 2.93/3.11 cnf(i_0_4871, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hAPP(X3,esk320_5(X3,X5,X4,X2,X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_1682, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_4604, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X5)),X3))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X5),X3))))|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X2,X3),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X4),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.11 cnf(i_0_1255, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X3,X2),X4),X5)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X6),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X7))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X2),tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OSigma(X3,X2),X8),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X3),X7))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X3),tc_HOL_Obool)),X4),hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X6),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X1),X8)))))). 2.93/3.11 cnf(i_0_1640, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4)),X5)),X6)=hAPP(hAPP(c_Power_Opower__class_Opower(X2),X5),hAPP(c_Finite__Set_Ocard(X1),X6))|hBOOL(hAPP(hAPP(c_member(X1),X3),X6))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_6900, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk464_5(X2,X3,X4,X5,X1)),esk464_5(X2,X3,X4,X5,X1))),X2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X3)),c_List_Olexord(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X5),X4)),hAPP(hAPP(c_List_Oappend(X1),X5),X3))),c_List_Olexord(X1,X2))))). 2.93/3.11 cnf(i_0_2373, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X1))))). 2.93/3.11 cnf(i_0_1274, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBS(X2,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X2),c_fconj),X3))),X4))))|hBOOL(hAPP(X3,esk71_4(X4,X1,X3,X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_1840, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_548, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2))))). 2.93/3.11 cnf(i_0_1776, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),X2),c_If(X1)),X4)),X5)),X6))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),X4)|hBOOL(hAPP(hAPP(c_member(X1),X5),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X6),X3)))). 2.93/3.11 cnf(i_0_6740, plain, (hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X2),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X2,tc_HOL_Obool,X1)),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),c_fequal),X3))),X3)),X4))|~c_Equiv__Relations_Ocongruent(X1,X2,X5,X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X4),X5)))). 2.93/3.11 cnf(i_0_1777, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),X2),c_If(X1)),X4)),X5)),X6))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X1),X6),X3))|hBOOL(hAPP(hAPP(c_member(X1),X5),X3)))). 2.93/3.11 cnf(i_0_5076, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2)))|~c_FunDef_Oreduction__pair(X1,X2))). 2.93/3.11 cnf(i_0_7203, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk487_2(X1,X2))))). 2.93/3.11 cnf(i_0_916, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),X3)),X4)),c_Groups_Ozero__class_Ozero(X2))),X5)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X5),X3))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 2.93/3.11 cnf(i_0_73, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2,X1)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_2094, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2,X1)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_7202, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X2)|~hBOOL(hAPP(X2,esk487_2(X2,X1)))|~hBOOL(hAPP(X1,esk487_2(X2,X1))))). 2.93/3.11 cnf(i_0_7377, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_Hilbert__Choice_OEps(tc_List_Olist(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Odistinct(X1)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(X1)),c_fequal),c_List_Oset(X1))),X2))))=c_Nitpick_Ocard_H(X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_7201, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X2)|hBOOL(hAPP(X1,esk487_2(X2,X1)))|hBOOL(hAPP(X2,esk487_2(X2,X1))))). 2.93/3.11 cnf(i_0_2489, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(X1,X2),X3),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X2),X5),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),X6)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,X3),tc_fun(tc_fun(X2,tc_HOL_Obool),X3),X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X3)),X4)),X6)),X5)|~class_Groups_Ocomm__monoid__add(X3))). 2.93/3.11 cnf(i_0_6310, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X3,X2)),X4)),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(X1,X3),X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X3,X2),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X6),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X1),X5)))|~class_Groups_Ocomm__monoid__mult(X2))). 2.93/3.11 cnf(i_0_2353, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))=c_Groups_Oone__class_Oone(X1)|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_1874, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_6976, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)))). 2.93/3.11 cnf(i_0_1391, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBS(tc_Nat_Onat,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(X1)),X2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat),X2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X3,X4))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(X2,X3)),hAPP(X2,hAPP(c_Nat_OSuc,X4)))|~class_Groups_Oab__group__add(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X4)))). 2.93/3.11 cnf(i_0_2606, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3),X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X6),X7)),X1)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X6),X7),X1))))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X3,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X5),X7)))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X4),X6))))). 2.93/3.11 cnf(i_0_6270, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_1719, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))|~c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4),X2,X3))). 2.93/3.11 cnf(i_0_1273, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBS(X2,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X2),c_fconj),X3))),X4))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_COMBC(X1,X2,tc_HOL_Obool),X4),esk71_4(X4,X1,X3,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_1641, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X4)),X5)),X6)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(X4,X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X5),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X6)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_2192, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_247, plain, (hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X3),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X6),X7)),X3)))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X6),X7),X3))))|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X2,X3),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X5),X7)))|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X1,X3),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X4),X6)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 2.93/3.11 cnf(i_0_5981, plain, (hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_6488, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X4),X5))),c_Wellfounded_Omax__ext(X1,X6)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),X5)),c_Wellfounded_Omax__ext(X1,X6)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),X4)),c_Wellfounded_Omax__ext(X1,X6))))). 2.93/3.11 cnf(i_0_6772, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2)),X4)),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(X1,X3),X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X3,X2),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X6),X5))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(X5,esk454_6(X4,X5,X3,X6,X1,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_1222, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBS(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X3,X2)),X4)),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(X1,X3),X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X3,X2),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X6),X5))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(X5,esk69_6(X4,X5,X3,X6,X1,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_6146, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))),X6),hAPP(c_Option_Ooption_OSome(X2),X7))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X4)),hAPP(hAPP(c_List_Olist_OCons(X2),X7),X5)))))|hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)),X4)))))). 2.93/3.11 cnf(i_0_1523, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))))|~class_Fields_Olinordered__field__inverse__zero(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 2.93/3.11 cnf(i_0_5923, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_6042, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X5),c_Groups_Oone__class_Oone(X1)),X4))=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Otimes__class_Otimes(X1)),X3)),X5)),c_Groups_Oone__class_Oone(X1)),X4)|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_4872, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X5))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk320_5(X3,X5,X4,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))|~class_Fields_Ofield(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_1833, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)))=hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_4207, plain, (hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),X2)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Nat_OSuc,X2))))). 2.93/3.11 cnf(i_0_3410, plain, (hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),X2)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1)),hAPP(c_Nat_OSuc,X2))))). 2.93/3.11 cnf(i_0_3050, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X5))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_2611, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__idom(X2))). 2.93/3.11 cnf(i_0_2610, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_4742, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X2),X3)),c_Wellfounded_Omax__ext(X1,X4)))|~c_Wellfounded_Omax__extp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4),X2,X3))). 2.93/3.11 cnf(i_0_5968, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X4)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),X5))=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X4),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk404_5(X3,X5,X4,X2,X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 2.93/3.11 cnf(i_0_4506, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk300_3(X3,X2,X1)),X2))|~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2)),esk301_3(X3,X2,X1))))). 2.93/3.11 cnf(i_0_4504, plain, (c_Relation_Orefl__on(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk300_3(X3,X2,X1)),esk300_3(X3,X2,X1))),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2)),esk301_3(X3,X2,X1))))). 2.93/3.11 cnf(i_0_2208, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(X1,tc_HOL_Obool),X1,hAPP(c_COMBC(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X2),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2621, plain, (~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_1320, plain, (hBOOL(hAPP(hAPP(hAPP(X1,esk75_4(X1,X2,X3,X4)),esk76_4(X1,X2,X3,X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk77_4(X1,X2,X3,X4))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk76_4(X1,X2,X3,X4)),esk77_4(X1,X2,X3,X4)))|hBOOL(hAPP(hAPP(hAPP(X1,X4),X3),X2))|hAPP(esk75_4(X1,X2,X3,X4),esk77_4(X1,X2,X3,X4))!=c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),X4),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2)))))). 2.93/3.11 cnf(i_0_4827, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_2926, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OposDivAlg(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))=c_Divides_OposDivAlg(X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.11 cnf(i_0_185, plain, (hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X4)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))))|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X1,X2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X4),X3))))). 2.93/3.11 cnf(i_0_6742, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),c_Hilbert__Choice_OEps(tc_List_Olist(X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X2),tc_HOL_Obool)),c_List_Odistinct(X2)),hAPP(hAPP(c_COMBC(tc_List_Olist(X2),tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(X2)),c_fequal),c_List_Oset(X2))),X4)))))=c_Nitpick_Osetsum_H(X2,X1,X3,X4)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_7168, plain, (~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))). 2.93/3.11 cnf(i_0_4000, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(X2))))). 2.93/3.11 cnf(i_0_3999, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__idom(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(X2))))). 2.93/3.11 cnf(i_0_1897, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.11 cnf(i_0_1321, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),esk75_4(X1,X2,X3,X4)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),esk76_4(X1,X2,X3,X4)),esk77_4(X1,X2,X3,X4)))))|hBOOL(hAPP(hAPP(hAPP(X1,X4),X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),X4),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2)))))). 2.93/3.11 cnf(i_0_5729, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OposDivAlg(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))=c_Divides_OposDivAlg(X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 2.93/3.11 cnf(i_0_6773, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2)),X4)),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(X1,X3),X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X3,X2),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X6),X5))|hBOOL(hAPP(hAPP(c_member(X1),esk454_6(X4,X5,X3,X6,X1,X2)),X6))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_1223, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBS(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X3,X2)),X4)),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(X1,X3),X2),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X3,X2),X4)),hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X6),X5))|hBOOL(hAPP(hAPP(c_member(X1),esk69_6(X4,X5,X3,X6,X1,X2)),X6))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_3393, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Groups_Omonoid__mult(X1)|~class_Int_Onumber(X1))). 2.93/3.11 cnf(i_0_805, plain, (hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(X1),hAPP(hAPP(c_COMBC(X1,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),X1),c_Smallcheck_Osmall__class_Osmall(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),X2),X3)),c_Product__Type_OPair(X1,X2)))),X4)),X4)=hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(X1,X2)),X3),X4)|~class_Smallcheck_Osmall(X1)|~class_Smallcheck_Osmall(X2))). 2.93/3.11 cnf(i_0_1493, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3)))),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 2.93/3.11 cnf(i_0_856, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 2.93/3.11 cnf(i_0_5790, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4)),esk389_4(X4,X3,X2,X1))))). 2.93/3.11 cnf(i_0_738, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))). 2.93/3.11 cnf(i_0_415, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OnegDivAlg(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))=c_Divides_OnegDivAlg(X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.11 cnf(i_0_3635, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OnegDivAlg(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))=c_Divides_OnegDivAlg(X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_6222, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_HOL_Obool)),X5)),X6))),X7))|~c_Equiv__Relations_Ocongruent2(X2,X4,tc_fun(X1,tc_HOL_Obool),X8,X9,X6)|~c_Equiv__Relations_Oequiv(X2,X10,X8)|~c_Equiv__Relations_Oequiv(X4,X11,X9)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(X6,esk421_11(X7,X5,X3,X6,X1,X9,X11,X4,X8,X10,X2)),esk422_11(X7,X5,X3,X6,X1,X9,X11,X4,X8,X10,X2))),X7))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_Equiv__Relations_Oquotient(X2),X10),X8)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Equiv__Relations_Oquotient(X4),X11),X9))))). 2.93/3.11 cnf(i_0_5121, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X4),X3))|~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X4)))). 2.93/3.11 cnf(i_0_2583, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),tc_fun(tc_fun(X2,tc_Option_Ooption(X2)),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBB(tc_Option_Ooption(X2),tc_HOL_Obool,X2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),X1),c_fequal),c_Map_Omap__of(X1,X2,X3)))),c_Option_Ooption_OSome(X2)))=hAPP(c_List_Oset(tc_prod(X1,X2)),X3)|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X3))))). 2.93/3.11 cnf(i_0_3540, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.11 cnf(i_0_3877, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OposDivAlg(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))=c_Divides_OposDivAlg(X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X1))))). 2.93/3.11 cnf(i_0_1982, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X4),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4)),c_fequal),X2),X3)))). 2.93/3.11 cnf(i_0_6224, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_HOL_Obool)),X5)),X6))),X7))|hBOOL(hAPP(hAPP(c_member(X2),esk421_11(X7,X5,X3,X6,X1,X8,X9,X4,X10,X11,X2)),X11))|~c_Equiv__Relations_Ocongruent2(X2,X4,tc_fun(X1,tc_HOL_Obool),X10,X8,X6)|~c_Equiv__Relations_Oequiv(X4,X9,X8)|~c_Equiv__Relations_Oequiv(X2,X11,X10)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Equiv__Relations_Oquotient(X4),X9),X8)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_Equiv__Relations_Oquotient(X2),X11),X10))))). 2.93/3.11 cnf(i_0_6223, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_HOL_Obool)),X5)),X6))),X7))|hBOOL(hAPP(hAPP(c_member(X4),esk422_11(X7,X5,X3,X6,X1,X8,X9,X4,X10,X11,X2)),X9))|~c_Equiv__Relations_Ocongruent2(X2,X4,tc_fun(X1,tc_HOL_Obool),X10,X8,X6)|~c_Equiv__Relations_Oequiv(X2,X11,X10)|~c_Equiv__Relations_Oequiv(X4,X9,X8)|~hBOOL(hAPP(hAPP(c_member(tc_fun(X2,tc_HOL_Obool)),X3),hAPP(hAPP(c_Equiv__Relations_Oquotient(X2),X11),X10)))|~hBOOL(hAPP(hAPP(c_member(tc_fun(X4,tc_HOL_Obool)),X5),hAPP(hAPP(c_Equiv__Relations_Oquotient(X4),X9),X8))))). 2.93/3.11 cnf(i_0_6878, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool)),c_List_Olistrel(X1,X2)),c_Nitpick_Oprod(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olists(X1,X3),c_List_Olists(X1,X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X3),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X3)))))). 2.93/3.11 cnf(i_0_138, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|~class_Rings_Osemiring__1(X1))). 2.93/3.11 cnf(i_0_3057, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4))))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))))). 2.93/3.11 cnf(i_0_6623, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X1),X2))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),X3),X4))))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))))). 2.93/3.11 cnf(i_0_2064, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(c_Relation_OImage(X1,X1,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(X2,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X2,tc_HOL_Obool)),hAPP(c_Relation_OImage(X5,X5,X6),hAPP(hAPP(c_Set_Oinsert(X5),X7),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))))),X8))=hAPP(hAPP(X8,X4),X7)|~c_Equiv__Relations_Ocongruent2(X1,X5,tc_fun(X2,tc_HOL_Obool),X3,X6,X8)|~c_Equiv__Relations_Oequiv(X5,X9,X6)|~c_Equiv__Relations_Oequiv(X1,X10,X3)|~hBOOL(hAPP(hAPP(c_member(X5),X7),X9))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X10)))). 2.93/3.11 cnf(i_0_4449, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_HOL_Obool),X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(tc_fun(X3,tc_HOL_Obool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X3,X1),tc_fun(X1,tc_fun(tc_fun(X3,tc_HOL_Obool),X1)),X2),c_Finite__Set_Ofold__image(X1,X3,c_Groups_Otimes__class_Otimes(X1))),X4)),c_Groups_Oone__class_Oone(X1))),X5)),c_Groups_Oone__class_Oone(X1)),X6)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,tc_prod(X2,X3),c_Groups_Otimes__class_Otimes(X1)),hAPP(c_Product__Type_Oprod_Oprod__case(X2,X3,X1),X4)),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Product__Type_OSigma(X2,X3),X6),X5))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(X5,esk297_6(X4,X5,X3,X6,X2,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 2.93/3.11 cnf(i_0_383, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X2),X3))),c_FunDef_Omin__strict))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),X3)),c_FunDef_Omin__strict))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X4),X2)),c_FunDef_Opair__less))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X4),X1)))). 2.93/3.11 cnf(i_0_1718, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X2),X3))),c_FunDef_Omin__weak))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X1),X3)),c_FunDef_Omin__weak))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X4),X2)),c_FunDef_Opair__leq))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X4),X1)))). 2.93/3.11 cnf(i_0_737, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))))|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))!=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 2.93/3.11 cnf(i_0_6804, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1),X2)),X3)),c_FunDef_Omax__strict))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X2),X3)),c_FunDef_Omax__strict))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1),X4)),c_FunDef_Opair__less))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X4),X3)))). 2.93/3.11 cnf(i_0_5020, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1),X2)),X3)),c_FunDef_Omax__weak))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),X2),X3)),c_FunDef_Omax__weak))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X1),X4)),c_FunDef_Opair__leq))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),X4),X3)))). 2.93/3.11 cnf(i_0_1513, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))),X6),hAPP(c_Option_Ooption_OSome(X2),hAPP(hAPP(c_List_Onth(X2),X5),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))))=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__of(X1,X2,hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X6),c_List_Olist_ONil(X1)))),X5))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5))))). 2.93/3.11 cnf(i_0_3144, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),X2),X3)),hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3))=hAPP(hAPP(c_Equiv__Relations_Oquotient(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X3)|~c_Fun_Oinj__on(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)),X1),c_Equiv__Relations_Oquotient(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),X3),X2)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2)))). 2.93/3.11 cnf(i_0_1936, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))),X6)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),X5),hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2))))),X6)),X3),X4)))). 2.93/3.11 cnf(i_0_3224, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))),X6)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),X5),hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2))))),X6)),X3),X4)))). 2.93/3.11 cnf(i_0_7110, plain, (c_Complete__Lattice_OSup__class_OSup(X1,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),c_Set_OCollect(X1)),hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(X1)))))=c_Complete__Lattice_OInf__class_OInf(X1,X2)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.11 cnf(i_0_1923, plain, (c_Complete__Lattice_OInf__class_OInf(X1,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),c_Set_OCollect(X1)),hAPP(c_COMBC(X1,X1,tc_HOL_Obool),hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(X1))))))=c_Complete__Lattice_OSup__class_OSup(X1,X2)|~class_Complete__Lattice_Ocomplete__lattice(X1))). 2.93/3.11 cnf(i_0_6982, plain, (c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),X3))))|hBOOL(hAPP(X2,esk470_4(X1,X3,X4,X2))))). 2.93/3.11 cnf(i_0_4508, plain, (hBOOL(hAPP(hAPP(hAPP(c_Product__Type_OSigma(X1,X1),X2),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X1),X2)),X3))|~c_Relation_Orefl__on(X1,X2,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X3),X4)))). 2.93/3.11 cnf(i_0_6390, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X3,X2),tc_fun(X3,X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,X2),tc_fun(tc_fun(X3,X2),tc_fun(X3,X2)),X1),c_COMBB(X2,X2,X3)),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,X2),X1),c_Groups_Otimes__class_Otimes(X2)),X4))),X5))),X6)),X7)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X4),X7)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X5),X6))|~class_Rings_Osemiring__0(X2))). 2.93/3.11 cnf(i_0_4450, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_HOL_Obool),X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(tc_fun(X3,tc_HOL_Obool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X3,X1),tc_fun(X1,tc_fun(tc_fun(X3,tc_HOL_Obool),X1)),X2),c_Finite__Set_Ofold__image(X1,X3,c_Groups_Otimes__class_Otimes(X1))),X4)),c_Groups_Oone__class_Oone(X1))),X5)),c_Groups_Oone__class_Oone(X1)),X6)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,tc_prod(X2,X3),c_Groups_Otimes__class_Otimes(X1)),hAPP(c_Product__Type_Oprod_Oprod__case(X2,X3,X1),X4)),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Product__Type_OSigma(X2,X3),X6),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk297_6(X4,X5,X3,X6,X2,X1)),X6))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 2.93/3.11 cnf(i_0_5364, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.11 cnf(i_0_231, plain, (hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2)),c_Int_Onat)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))))). 2.93/3.11 cnf(i_0_2719, plain, (hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2)),c_Int_Onat)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))))). 2.93/3.11 cnf(i_0_5973, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olists(X1,X2)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X1)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),X3))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_4097, plain, (c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_6981, plain, (c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X4,hAPP(X3,esk470_4(X1,X3,X4,X2)))),hAPP(X4,esk470_4(X1,X3,X4,X2)))))). 2.93/3.11 cnf(i_0_1822, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,X2,X2),hAPP(hAPP(c_COMBS(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X2,tc_fun(X2,X2)),X1),c_If(X2)),X3)),X4)),X5)),X6)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X6),X3))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X5),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X6),X3)))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 2.93/3.11 cnf(i_0_2879, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(X1)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olists(X1,X2)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(X1)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(X1)))),X3))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_5555, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OposDivAlg(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))=c_Divides_OposDivAlg(X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 2.93/3.11 cnf(i_0_3643, plain, (c_List_Otranspose(X1,X2)=c_List_Olist_ONil(tc_List_Olist(X1))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),X2),esk243_3(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1,X2)))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 2.93/3.11 cnf(i_0_3255, plain, (X1=X2|hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X1)!=hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X2))). 2.93/3.11 cnf(i_0_5189, plain, (c_Wellfounded_OwfP(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2))|~c_Wellfounded_Owf(X1,X2))). 2.93/3.11 cnf(i_0_3568, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_1713, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_3451, plain, (hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_Int_Oint,tc_HOL_Obool)),c_Nat__Numeral_Oneg)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),X2)))))|hAPP(c_Nat_OSuc,X2)!=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))). 2.93/3.11 cnf(i_0_3645, plain, (hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(X1)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,X1),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(X1)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,X1)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_Nat_Onat,X1),tc_Nat_Onat),c_List_Onth(X1)),hAPP(c_List_Onth(tc_List_Olist(X1)),X2))))),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),X2))))),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))=c_List_Otranspose(X1,X2)|c_List_Olist_ONil(tc_List_Olist(X1))=X2|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Onth(tc_List_Olist(X1)),X2),esk243_3(X3,X1,X2)))!=X3)). 2.93/3.11 cnf(i_0_2421, plain, (hAPP(c_Groups_Oabs__class_Oabs(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_4058, plain, (c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),esk277_2(X2,X1)),esk278_2(X2,X1)))|~class_Orderings_Oorder(X1))). 2.93/3.11 cnf(i_0_2730, plain, (c_Equiv__Relations_Oequivp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2))|~c_Equiv__Relations_Oequiv(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2))). 2.93/3.11 cnf(i_0_6545, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X4))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(X1,X1,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(X1),X3)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(X1)),c_Nat_Osemiring__1__class_Oof__nat(X1))),X4))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)))|~class_Rings_Ocomm__semiring__1(X1))). 2.93/3.11 cnf(i_0_3644, plain, (c_List_Otranspose(X1,X2)=c_List_Olist_ONil(tc_List_Olist(X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk243_3(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),X2))))). 2.93/3.11 cnf(i_0_3233, plain, (hBOOL(hAPP(hAPP(X1,esk187_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),esk188_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk187_3(X1,X2,X3)),esk188_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk188_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 2.93/3.11 cnf(i_0_3646, plain, (hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(X1)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,X1),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(X1)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,X1)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_Nat_Onat,X1),tc_Nat_Onat),c_List_Onth(X1)),hAPP(c_List_Onth(tc_List_Olist(X1)),X2))))),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),X2))))),c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))=c_List_Otranspose(X1,X2)|c_List_Olist_ONil(tc_List_Olist(X1))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk243_3(X3,X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),X2))))). 2.93/3.11 cnf(i_0_4057, plain, (c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),esk278_2(X2,X1)),esk277_2(X2,X1))))). 2.93/3.11 cnf(i_0_4816, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3))|~class_Groups_Omonoid__mult(X1))). 2.93/3.11 cnf(i_0_3326, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,X4),c_Finite__Set_Ocard(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X4),c_Set_OCollect(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X4),hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X3))),X5)))),X6)|hBOOL(hAPP(hAPP(c_member(X1),esk206_6(X2,X5,X3,X1,X6,X4)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_3460, plain, (hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),X1),c_Nat_OSuc)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),X2))))=hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X2))))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.11 cnf(i_0_6075, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))))). 2.93/3.11 cnf(i_0_7086, plain, (hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),X1),c_Nat_OSuc)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),X2)))=hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),X1),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X2))))|hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 2.93/3.11 cnf(i_0_71, plain, (c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_2095, plain, (c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_4056, plain, (c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,esk277_2(X2,X1))),hAPP(X2,esk278_2(X2,X1)))))). 2.93/3.11 cnf(i_0_72, plain, (c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_6048, plain, (hBOOL(hAPP(c_Predicate_ODomainP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_Relation_ODomain(X1,X2),X3))))). 2.93/3.11 cnf(i_0_2708, plain, (hBOOL(hAPP(c_Predicate_ORangeP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(c_Relation_ORange(X1,X2),X3))))). 2.93/3.11 cnf(i_0_212, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Finite__Set_Ocard(X2),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_Nat_Onat,X4),c_Finite__Set_Ocard(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X4),c_Set_OCollect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X4),hAPP(c_COMBS(X2,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X2),c_fconj),X3))),X5)))),X6)|hBOOL(hAPP(hAPP(c_member(X2),esk13_6(X1,X5,X3,X2,X6,X4)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 2.93/3.11 cnf(i_0_1720, plain, (c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2),X3,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel(X1,X2))))). 2.93/3.11 cnf(i_0_2096, plain, (c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_1316, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3))|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_6502, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),X2,X1),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X1),c_Set_OCollect(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X1),hAPP(c_COMBS(X3,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X3),c_fconj),X5))),hAPP(c_COMBC(X3,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),X3),c_fequal),X6)))))),hAPP(c_Set_Oimage(X3,X1,X6),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4),X5)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X5)))). 2.93/3.11 cnf(i_0_4743, plain, (c_Wellfounded_Omax__extp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2),X3,X4)|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),X4)),c_Wellfounded_Omax__ext(X1,X2))))). 2.93/3.11 cnf(i_0_3775, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Wellfounded_Omin__ext(X1,X2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(X1,X3)),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))),c_Wellfounded_Omin__ext(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X3)),X2)))). 2.93/3.11 cnf(i_0_2339, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Wellfounded_Omax__ext(X1,X2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(X1,X3)),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))),c_Wellfounded_Omax__ext(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X3)),X2)))). 2.93/3.11 cnf(i_0_7069, plain, (hBOOL(hAPP(hAPP(X1,esk475_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),esk476_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk476_3(X1,X2,X3)),esk475_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk476_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 2.93/3.11 cnf(i_0_2374, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))). 2.93/3.11 cnf(i_0_547, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))). 2.93/3.11 cnf(i_0_6790, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X3)))|~class_Groups_Omonoid__mult(X1))). 2.93/3.11 cnf(i_0_5091, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4))))). 2.93/3.11 cnf(i_0_4266, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Relation_Orel__comp(X1,X5,X2),X6),X7)))|~c_Predicate_Opred__comp(X1,X5,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X5),tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(tc_fun(tc_prod(X1,X5),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X5),tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),X1),c_COMBC(X5,tc_fun(tc_prod(X1,X5),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_prod(X1,X5)),tc_fun(X5,tc_fun(tc_fun(tc_prod(X1,X5),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X5),tc_fun(tc_fun(tc_prod(X1,X5),tc_HOL_Obool),tc_HOL_Obool),X5),c_member(tc_prod(X1,X5)))),c_Product__Type_OPair(X1,X5)))),X6),hAPP(hAPP(c_COMBC(X5,tc_fun(tc_prod(X5,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X5,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X5,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X5),c_COMBC(X2,tc_fun(tc_prod(X5,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X5,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X5,X2),tc_HOL_Obool),tc_HOL_Obool)),X5),hAPP(c_COMBB(tc_prod(X5,X2),tc_fun(tc_fun(tc_prod(X5,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X5,X2)))),c_Product__Type_OPair(X5,X2)))),X7),X3,X4))). 2.93/3.11 cnf(i_0_1360, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(X3,X4)),hAPP(c_Com_Ocom_OBODY,X4)),hAPP(X5,X4))))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),c_Com_Ocom_OBODY)),X5)),X6)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X5)),X6))|~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X4),X6)))). 2.93/3.11 cnf(i_0_6576, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBS(X2,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X2),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X1),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X2,X1),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X2)),c_fequal)),X3)))),X4))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 2.93/3.11 cnf(i_0_2612, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_5864, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_211, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Finite__Set_Ocard(X2),X3))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_Nat_Onat,X4),c_Finite__Set_Ocard(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X4),c_Set_OCollect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X4),hAPP(c_COMBS(X2,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X2),c_fconj),X3))),X5)))),X6)|hAPP(c_Finite__Set_Ocard(X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_HOL_Obool)),X6),hAPP(hAPP(c_COMBC(X4,X2,tc_HOL_Obool),X5),esk13_6(X1,X5,X3,X2,X6,X4))))!=X1|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 2.93/3.11 cnf(i_0_577, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X5),X6)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X6)),X3),X4)))). 2.93/3.11 cnf(i_0_3148, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X5),X6)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X6)),X3),X4)))). 2.93/3.11 cnf(i_0_3332, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_7170, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))|~class_Rings_Olinordered__idom(X2))). 2.93/3.11 cnf(i_0_7169, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_3998, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1))). 2.93/3.11 cnf(i_0_3325, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,tc_Nat_Onat),X2),X3)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,X4),c_Finite__Set_Ocard(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X4),c_Set_OCollect(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X4),hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X3))),X5)))),X6)|hAPP(X2,esk206_6(X2,X5,X3,X1,X6,X4))!=hAPP(c_Finite__Set_Ocard(X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_HOL_Obool)),X6),hAPP(hAPP(c_COMBC(X4,X1,tc_HOL_Obool),X5),esk206_6(X2,X5,X3,X1,X6,X4))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_1981, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)),c_fequal),X3),X4))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))))). 2.93/3.11 cnf(i_0_2207, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),c_Com_Ocom_OBODY)),X4)),X5))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),c_Com_Ocom_OBODY)),X4)),X5)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X4)),X5)))). 2.93/3.11 cnf(i_0_4444, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),c_Com_Ocom_OBODY)),X4)),X5))|~c_Hoare__Mirabelle_Ohoare__valids(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),c_Com_Ocom_OBODY)),X4)),X5)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X4)),X5)))). 2.93/3.11 cnf(i_0_5863, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))),c_Groups_Oone__class_Oone(tc_Int_Oint))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_1992, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_5613, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_5793, plain, (hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X4),X5)),c_List_Olistrel(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X3),hAPP(c_List_Oset(tc_prod(X1,X1)),hAPP(hAPP(c_List_Ozip(X1,X1),X4),X5)))))). 2.93/3.11 cnf(i_0_792, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_Set_Oimage(X3,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(X3,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(X3,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),X3),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X4)),X5)),X6)),X7))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_Set_Oimage(X3,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(X3,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(X3,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),X3),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X8)),X5)),X9)),X7))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(X4,esk41_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X5,esk41_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X6,esk41_9(X6,X4,X9,X5,X8,X2,X1,X7,X3)))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X7)))). 2.93/3.11 cnf(i_0_1937, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),X1),hAPP(c_COMBC(X2,tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X2),c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X2,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),X2),hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X2,X3)))),c_Product__Type_OPair(X2,X3))))),X4)),X5),X6))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X3)),hAPP(hAPP(c_Product__Type_OPair(X2,X3),X5),X6)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X4))))). 2.93/3.11 cnf(i_0_3225, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),X1),hAPP(c_COMBC(X2,tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X2),c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X2,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),X2),hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X2,X3)))),c_Product__Type_OPair(X2,X3))))),X4)),X5),X6))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X3)),hAPP(hAPP(c_Product__Type_OPair(X2,X3),X5),X6)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(tc_prod(X2,X3),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X4))))). 2.93/3.11 cnf(i_0_150, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))))=hAPP(c_Code__Numeral_Oint__of,X1)|X1=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)|c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.93/3.11 cnf(i_0_25, plain, (c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2))))),X3)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Odistrib__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5823, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2))))),X3)))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Odistrib__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_5833, plain, (c_Big__Operators_Olinorder__class_OMin(X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(X1),X2))))),X3)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Big__Operators_Olinorder__class_OMin(X1,X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Groups_Olinordered__ab__semigroup__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_3820, plain, (c_Big__Operators_Olinorder__class_OMax(X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(X1),X2))))),X3)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Big__Operators_Olinorder__class_OMax(X1,X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Groups_Olinordered__ab__semigroup__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_1105, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(X1),X2))))),X3)))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_2075, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(X1),X2))))),X3)))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 2.93/3.11 cnf(i_0_793, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_Set_Oimage(X3,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(X3,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(X3,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),X3),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X4)),X5)),X6)),X7))|c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(X8,esk41_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X5,esk41_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X9,esk41_9(X6,X4,X9,X5,X8,X2,X1,X7,X3)))))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_Set_Oimage(X3,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(X3,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(X3,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),X3),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X8)),X5)),X9)),X7))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X7)))). 2.93/3.11 cnf(i_0_149, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),X1),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))=hAPP(c_Code__Numeral_Oint__of,X1)|c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)|X1=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 2.93/3.11 cnf(i_0_7430, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 2.93/3.11 cnf(i_0_5897, plain, (hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(X1,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(X2,X3)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(X1,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(X1,X2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X4),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),X3))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(X1,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1))))),tc_prod(X1,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(X1)),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(X1)))),tc_prod(X1,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(X1)),c_Product__Type_Ofst(X1,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)))))))=c_Random__Sequence_ORandom(X1,X2,X4,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),X4),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))). 2.93/3.11 cnf(i_0_5006, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))),c_Groups_Oone__class_Oone(tc_Int_Oint))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 2.93/3.11 cnf(i_0_3809, plain, (hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(X1),X2),tc_prod(X1,X2),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),X2),c_List_Olist_ONil(X1)),X3),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(tc_List_Olist(X1),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_prod(tc_List_Olist(X1),X2)),tc_fun(X2,tc_prod(tc_List_Olist(X1),X2))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(X1),X2),tc_prod(tc_List_Olist(X1),X2)),tc_fun(tc_fun(X2,tc_prod(tc_List_Olist(X1),X2)),tc_fun(X2,tc_prod(tc_List_Olist(X1),X2))),X1),c_COMBB(tc_prod(tc_List_Olist(X1),X2),tc_prod(tc_List_Olist(X1),X2),X2)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(X2,tc_prod(tc_List_Olist(X1),X2))),tc_fun(tc_prod(tc_List_Olist(X1),X2),tc_prod(tc_List_Olist(X1),X2)),X1),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X1),X2,tc_prod(tc_List_Olist(X1),X2))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_fun(X2,tc_prod(tc_List_Olist(X1),X2))),X1),hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(X2,tc_prod(tc_List_Olist(X1),X2)),tc_List_Olist(X1)),c_Product__Type_OPair(tc_List_Olist(X1),X2))),c_List_Olist_OCons(X1))))),c_Lazy__Sequence_Oanamorph(X2,X1,X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X5),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))),hAPP(X4,X3))=hAPP(c_Lazy__Sequence_Oanamorph(X2,X1,X4,X5),X3)|c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X5)). 2.93/3.11 cnf(i_0_1094, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,tc_fun(X3,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_HOL_Obool),X2),X1),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2)),hAPP(c_COMBC(X3,X1,X2),X4))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X1),c_Set_OCollect(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X1),hAPP(c_COMBS(X3,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X3),c_fconj),X5))),hAPP(c_COMBC(X3,X1,tc_HOL_Obool),X6))))),X7)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),hAPP(hAPP(c_COMBS(X3,tc_fun(X1,tc_HOL_Obool),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(tc_fun(X1,tc_HOL_Obool),X2),X3),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2)),X4)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3),c_Set_OCollect(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3),hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X7))),X6)))),X5)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X7))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X5)))). 2.93/3.11 cnf(i_0_5090, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)))). 2.93/3.11 cnf(i_0_4267, plain, (c_Predicate_Opred__comp(X1,X2,X3,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4),hAPP(hAPP(c_COMBC(X2,tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X2),c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X2,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool)),X2),hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X2,X3)))),c_Product__Type_OPair(X2,X3)))),X5),X6,X7)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X6),X7)),hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X3),X4),X5))))). 2.93/3.11 cnf(i_0_576, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)),X5),X6))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4))))). 2.93/3.11 cnf(i_0_3149, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)),X5),X6))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4))))). 2.93/3.11 cnf(i_0_5976, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2)),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_3771, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2)),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(X1))). 2.93/3.11 cnf(i_0_199, plain, (hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,X1),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(X1,X1)),tc_fun(tc_Int_Oint,X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),X1),tc_fun(tc_fun(tc_Int_Oint,tc_fun(X1,X1)),tc_fun(tc_Int_Oint,X1)),tc_Int_Oint),c_COMBB(tc_fun(X1,X1),X1,tc_Int_Oint)),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_fun(X1,X1),X1),tc_Int_Oint),c_HOL_OLet(X1,X1)),c_Int_Oring__1__class_Oof__int(X1)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(X1,X1),tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,X1)),tc_fun(tc_fun(X1,X1),tc_fun(X1,X1)),tc_Int_Oint),c_COMBS(X1,X1,X1)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(X1,X1),tc_fun(X1,tc_fun(X1,X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,X1)),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_fun(X1,X1))),tc_Int_Oint),c_COMBB(X1,tc_fun(X1,X1),X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),tc_Int_Oint),c_If(X1)),hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBS(X1,X1,X1),c_Groups_Oplus__class_Oplus(X1)),c_COMBI(X1))))),hAPP(hAPP(c_COMBC(X1,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Groups_Oplus__class_Oplus(X1)),hAPP(hAPP(c_COMBS(X1,X1,X1),c_Groups_Oplus__class_Oplus(X1)),c_COMBI(X1)))),c_Groups_Oone__class_Oone(X1))))),c_Divides_Odivmod__int(X2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~class_Rings_Oring__1(X1))). 2.93/3.11 cnf(i_0_2866, plain, (hAPP(c_Product__Type_Omap__pair(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,X1))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,X2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,X1))),c_Divides_Opdivmod(X2,X1)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1))))),c_Divides_Opdivmod(X2,X1))))=c_Divides_Odivmod__int(X2,X1)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X2|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.11 cnf(i_0_6779, plain, (c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBS(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2))),X3)))))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Big__Operators_Olattice__class_OInf__fin(X1,X2)),c_Big__Operators_Olattice__class_OInf__fin(X1,X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Odistrib__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_6381, plain, (c_Big__Operators_Olattice__class_OSup__fin(X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBS(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2))),X3)))))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Big__Operators_Olattice__class_OSup__fin(X1,X2)),c_Big__Operators_Olattice__class_OSup__fin(X1,X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Odistrib__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_2576, plain, (hAPP(c_Product__Type_Omap__pair(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,X1))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(X2,X1)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1))))),c_Divides_Opdivmod(X2,X1))))=c_Divides_Odivmod__int(X2,X1)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 2.93/3.11 cnf(i_0_4471, plain, (c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBS(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal))),c_Orderings_Oord__class_Omin(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2))),X3)))))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X2)),c_Big__Operators_Olattice_OSup__fin(X1,c_Orderings_Oord__class_Omax(X1),X3))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_3005, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBS(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X1)),c_fequal))),c_Orderings_Oord__class_Omax(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2))),X3)))))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X2)),c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__class_Omin(X1),X3))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 2.93/3.11 cnf(i_0_92, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X1),c_Fun_Oid(X1)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OEx(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool,X2),c_HOL_OEx(X3))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool))),tc_fun(tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),X1),c_COMBS(X2,tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X3,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X2,tc_fun(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X2),c_COMBS(X3,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X3,tc_HOL_Obool)),tc_fun(X2,tc_fun(X3,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),X1),hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X2),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X3),c_fconj))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_fun(X3,X1)),tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_HOL_Obool)),tc_fun(tc_fun(X2,tc_fun(X3,X1)),tc_fun(X2,tc_fun(X3,tc_HOL_Obool))),X1),c_COMBB(tc_fun(X3,X1),tc_fun(X3,tc_HOL_Obool),X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBB(X1,tc_HOL_Obool,X3)),c_fequal))),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,X1),tc_fun(X3,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X3,X1),tc_fun(X3,X1)),X2),c_COMBB(X1,X1,X3)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Otimes__class_Otimes(X1)),X4))),X5)))))),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X2),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X2),c_fconj),X6))),X7)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X4),X6)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X1),X5),X7))|~class_Rings_Osemiring__0(X1)|~c_Fun_Oinj__on(tc_prod(X2,X3),X1,hAPP(c_Product__Type_Oprod_Oprod__case(X2,X3,X1),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,X1),tc_fun(X3,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X3,X1),tc_fun(X3,X1)),X2),c_COMBB(X1,X1,X3)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Groups_Otimes__class_Otimes(X1)),X4))),X5)),hAPP(hAPP(c_Product__Type_OSigma(X2,X3),X6),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X2),X7))))). 2.93/3.11 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 2.93/3.11 # Begin printing tableau 2.93/3.11 # Found 6 steps 2.93/3.11 cnf(i_0_6840, negated_conjecture, (~v_R(v_Z,v_s_H)), inference(start_rule)). 2.93/3.11 cnf(i_0_8005, plain, (~v_R(v_Z,v_s_H)), inference(extension_rule, [i_0_2482])). 2.93/3.11 cnf(i_0_8430, plain, (~c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H)), inference(closure_rule, [i_0_5002])). 2.93/3.11 cnf(i_0_8429, plain, (~v_Q(v_Z,v_s1)), inference(extension_rule, [i_0_4916])). 2.93/3.11 cnf(i_0_20816, plain, (~v_P(v_Z,v_s)), inference(closure_rule, [i_0_2211])). 2.93/3.11 cnf(i_0_20817, plain, (~c_Natural_Oevaln(v_c,v_s,v_n,v_s1)), inference(closure_rule, [i_0_632])). 2.93/3.11 # End printing tableau 2.93/3.11 # SZS output end 2.93/3.11 # Branches closed with saturation will be marked with an "s" 2.93/3.11 # Returning from population with 1 new_tableaux and 0 remaining starting tableaux. 2.93/3.11 # We now have 1 tableaux to operate on 2.93/3.11 # Found closed tableau during pool population. 2.93/3.11 # Proof search is over... 2.93/3.11 # Freeing feature tree 2.93/3.12 EOF