0.06/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.14/0.34 Computer : n003.cluster.edu 0.14/0.34 Model : x86_64 x86_64 0.14/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 RAMPerCPU : 8042.1875MB 0.14/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 04:15:06 EDT 2022 0.14/0.34 % CPUTime : 3.16/3.33 # No SInE strategy applied 3.16/3.33 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr 3.16/3.33 # and selection function SelectMaxLComplexAvoidPosPred. 3.16/3.33 # 3.16/3.33 # Presaturation interreduction done 3.16/3.33 # Number of axioms: 7333 Number of unprocessed: 5937 3.16/3.33 # Tableaux proof search. 3.16/3.33 # APR header successfully linked. 3.16/3.33 # Hello from C++ 3.26/3.45 # The folding up rule is enabled... 3.26/3.45 # Local unification is enabled... 3.26/3.45 # Any saturation attempts will use folding labels... 3.26/3.45 # 5937 beginning clauses after preprocessing and clausification 3.26/3.45 # Creating start rules for all 1 conjectures. 3.26/3.45 # There are 1 start rule candidates: 3.26/3.45 # Found 1493 unit axioms. 3.26/3.45 # 1 start rule tableaux created. 3.26/3.45 # 4444 extension rule candidate clauses 3.26/3.45 # 1493 unit axiom clauses 3.26/3.45 3.26/3.45 # Requested 8, 32 cores available to the main process. 3.26/3.45 # There are not enough tableaux to fork, creating more from the initial 1 3.26/3.45 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done. 3.26/3.45 # There were 0 total branch saturation attempts. 3.26/3.45 # There were 0 of these attempts blocked. 3.26/3.45 # There were 0 deferred branch saturation attempts. 3.26/3.45 # There were 0 free duplicated saturations. 3.26/3.45 # There were 0 total successful branch saturations. 3.26/3.45 # There were 0 successful branch saturations in interreduction. 3.26/3.45 # There were 0 successful branch saturations on the branch. 3.26/3.45 # There were 0 successful branch saturations after the branch. 3.26/3.45 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.26/3.45 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.26/3.45 # Begin clausification derivation 3.26/3.45 3.26/3.45 # End clausification derivation 3.26/3.45 # Begin listing active clauses obtained from FOF to CNF conversion 3.26/3.45 cnf(i_0_4660, hypothesis, (c_Com_OWT__bodies)). 3.26/3.45 cnf(i_0_719, plain, (c_Code__Numeral_Oof__nat=c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_1746, plain, (hBOOL(c_fTrue))). 3.26/3.45 cnf(i_0_2196, plain, (c_Code__Numeral_Osubtract__code__numeral=c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_1314, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)))). 3.26/3.45 cnf(i_0_1, plain, (class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_6289, plain, (c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6916, plain, (class_Rings_Olinordered__semidom(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_77, plain, (class_Rings_Olinordered__semidom(tc_Int_Oint))). 3.26/3.45 cnf(i_0_7, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_1519, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5338, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2497, plain, (class_Lattices_Olattice(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_4469, plain, (class_Lattices_Olattice(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1960, plain, (class_Lattices_Olattice(tc_Int_Oint))). 3.26/3.45 cnf(i_0_740, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_5374, plain, (class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_7109, plain, (class_Divides_Osemiring__div(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_3009, plain, (class_Divides_Osemiring__div(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5989, plain, (class_Int_Onumber__ring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4011, plain, (class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_31, plain, (class_Groups_Ocomm__monoid__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4960, plain, (class_Groups_Ocomm__monoid__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4163, plain, (class_Enum_Oenum(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_6554, plain, (class_Enum_Oenum(tc_Product__Type_Ounit))). 3.26/3.45 cnf(i_0_48, plain, (class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3053, plain, (class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_6000, plain, (class_Groups_Ocancel__semigroup__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_793, plain, (class_Groups_Ocancel__semigroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3770, plain, (class_Int_Oring__char__0(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3269, plain, (class_Groups_Ouminus(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_782, plain, (class_Groups_Ouminus(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5401, plain, (class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_5351, plain, (class_Rings_Ocomm__semiring(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4333, plain, (class_Rings_Ocomm__semiring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6235, plain, (class_Groups_Olinordered__ab__group__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2800, plain, (class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_6093, plain, (class_Groups_Omonoid__mult(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4152, plain, (class_Groups_Omonoid__mult(tc_Int_Oint))). 3.26/3.45 cnf(i_0_664, plain, (class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6426, plain, (class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_2304, plain, (class_Orderings_Opreorder(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_5812, plain, (class_Orderings_Opreorder(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_6266, plain, (class_Orderings_Opreorder(tc_Int_Oint))). 3.26/3.45 cnf(i_0_454, plain, (class_Lattices_Obounded__lattice(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_483, plain, (class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_2453, plain, (class_Rings_Ono__zero__divisors(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4504, plain, (class_Rings_Ono__zero__divisors(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5912, plain, (class_Int_Onumber(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_4555, plain, (class_Int_Onumber(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5380, plain, (class_Int_Onumber(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5332, plain, (class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_5990, plain, (class_Rings_Osemiring__1(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_3647, plain, (class_Rings_Osemiring__1(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5436, plain, (class_Rings_Olinordered__idom(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4077, plain, (class_Nat_Osize(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_2103, plain, (class_Nat_Osize(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_1157, plain, (class_Nat_Osize(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_139, plain, (class_Nat_Osize(tc_Com_Ostate))). 3.26/3.45 cnf(i_0_5962, plain, (class_Nat_Osize(tc_Com_Ocom))). 3.26/3.45 cnf(i_0_4789, plain, (class_Nat_Osize(tc_Product__Type_Ounit))). 3.26/3.45 cnf(i_0_1162, plain, (class_Nat_Osize(tc_Code__Evaluation_Oterm))). 3.26/3.45 cnf(i_0_1331, plain, (class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_4421, plain, (class_Orderings_Olinorder(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4053, plain, (class_Orderings_Olinorder(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6789, plain, (class_Lattices_Osemilattice__inf(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_6924, plain, (class_Lattices_Osemilattice__inf(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2949, plain, (class_Lattices_Osemilattice__inf(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3217, plain, (class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_6993, plain, (class_Groups_Ocomm__monoid__mult(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5081, plain, (class_Groups_Ocomm__monoid__mult(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3703, plain, (class_Groups_Oordered__ab__group__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2559, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint))). 3.26/3.45 cnf(i_0_176, plain, (class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_4081, plain, (class_Rings_Olinordered__semiring__strict(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_6697, plain, (class_Rings_Olinordered__semiring__strict(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5837, plain, (class_Rings_Olinordered__ring__strict(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2797, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_206, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5980, plain, (class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_4961, plain, (class_Groups_Ominus(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_917, plain, (class_Groups_Ominus(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_6950, plain, (class_Groups_Ominus(tc_Int_Oint))). 3.26/3.45 cnf(i_0_214, plain, (class_Rings_Oidom(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3366, plain, (class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_3008, plain, (class_HOL_Oequal(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_4296, plain, (class_HOL_Oequal(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7001, plain, (class_HOL_Oequal(tc_Int_Oint))). 3.26/3.45 cnf(i_0_7550, plain, (class_HOL_Oequal(tc_Com_Ostate))). 3.26/3.45 cnf(i_0_6213, plain, (class_HOL_Oequal(tc_Com_Ocom))). 3.26/3.45 cnf(i_0_6948, plain, (class_HOL_Oequal(tc_Product__Type_Ounit))). 3.26/3.45 cnf(i_0_7358, plain, (class_HOL_Oequal(tc_Code__Evaluation_Oterm))). 3.26/3.45 cnf(i_0_7233, plain, (class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_7244, plain, (class_Orderings_Oorder(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_5797, plain, (class_Orderings_Oorder(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5657, plain, (class_Orderings_Oorder(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5073, plain, (class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2300, plain, (class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit))). 3.26/3.45 cnf(i_0_5236, plain, (class_Lattices_Odistrib__lattice(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_1489, plain, (class_Lattices_Odistrib__lattice(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7565, plain, (class_Lattices_Odistrib__lattice(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3930, plain, (class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_5498, plain, (class_Rings_Oordered__cancel__semiring(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_253, plain, (class_Rings_Oordered__cancel__semiring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6223, plain, (class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_3073, plain, (class_Groups_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_264, plain, (class_Groups_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3156, plain, (class_Groups_Oab__group__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5125, plain, (class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_4451, plain, (class_Groups_Omonoid__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2291, plain, (class_Groups_Omonoid__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_1776, plain, (class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_1627, plain, (class_Orderings_Oord(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_3681, plain, (class_Orderings_Oord(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2798, plain, (class_Orderings_Oord(tc_Int_Oint))). 3.26/3.45 cnf(i_0_1298, plain, (class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_6685, plain, (class_Rings_Ocomm__semiring__1(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_6456, plain, (class_Rings_Ocomm__semiring__1(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5310, plain, (class_Lattices_Osemilattice__sup(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_3196, plain, (class_Lattices_Osemilattice__sup(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5573, plain, (class_Lattices_Osemilattice__sup(tc_Int_Oint))). 3.26/3.45 cnf(i_0_348, plain, (class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_6361, plain, (class_Rings_Osemiring(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7016, plain, (class_Rings_Osemiring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2408, plain, (class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_3098, plain, (class_Groups_Oab__semigroup__mult(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7110, plain, (class_Groups_Oab__semigroup__mult(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4206, plain, (class_Groups_Ogroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_414, plain, (class_Rings_Oring__1(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5111, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_2782, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7060, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_1517, plain, (class_Orderings_Owellorder(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7220, plain, (class_Groups_Oone(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_517, plain, (class_Groups_Oone(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2129, plain, (class_Groups_Oone(tc_Int_Oint))). 3.26/3.45 cnf(i_0_7144, plain, (class_Rings_Ocomm__ring__1(tc_Int_Oint))). 3.26/3.45 cnf(i_0_594, plain, (class_Lattices_Obounded__lattice__bot(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_610, plain, (class_Rings_Oring__no__zero__divisors(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4824, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_1347, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1732, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6417, plain, (class_Orderings_Obot(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_6594, plain, (class_Orderings_Obot(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1649, plain, (class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_5913, plain, (class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_847, plain, (class_Groups_Oordered__comm__monoid__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2437, plain, (class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_721, plain, (class_Nat_Osemiring__char__0(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_3358, plain, (class_Nat_Osemiring__char__0(tc_Int_Oint))). 3.26/3.45 cnf(i_0_1955, plain, (class_Orderings_Otop(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_739, plain, (class_Rings_Olinordered__semiring__1(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3773, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_748, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4137, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4149, plain, (class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_7461, plain, (class_Groups_Osemigroup__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4275, plain, (class_Groups_Osemigroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2527, plain, (class_Finite__Set_Ofinite(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_7223, plain, (class_Finite__Set_Ofinite(tc_Product__Type_Ounit))). 3.26/3.45 cnf(i_0_990, plain, (class_Lattices_Oboolean__algebra(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_1014, plain, (class_Divides_Oring__div(tc_Int_Oint))). 3.26/3.45 cnf(i_0_7351, plain, (class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_6530, plain, (class_Rings_Olinordered__semiring(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2526, plain, (class_Rings_Olinordered__semiring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6888, plain, (class_Rings_Oring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4891, plain, (class_Rings_Oordered__ring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_1425, plain, (class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_3836, plain, (class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1311, plain, (class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5831, plain, (class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_1324, plain, (class_Rings_Omult__zero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5562, plain, (class_Rings_Omult__zero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3434, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_3089, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7089, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2278, plain, (class_Rings_Olinordered__ring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5981, plain, (class_Lattices_Obounded__lattice__top(tc_HOL_Obool))). 3.26/3.45 cnf(i_0_2307, plain, (class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_5614, plain, (class_Rings_Osemiring__0(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_3049, plain, (class_Rings_Osemiring__0(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5742, plain, (class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_4400, plain, (class_Rings_Ozero__neq__one(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2344, plain, (class_Rings_Ozero__neq__one(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2366, plain, (class_Groups_Oabs__if(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6879, plain, (class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_5054, plain, (class_Rings_Oordered__semiring(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_6324, plain, (class_Rings_Oordered__semiring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_7025, plain, (class_Groups_Osgn__if(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4560, plain, (class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_5541, plain, (class_Groups_Oab__semigroup__add(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2709, plain, (class_Groups_Oab__semigroup__add(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4026, plain, (class_Power_Opower(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_7324, plain, (class_Power_Opower(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5566, plain, (class_Power_Opower(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5847, plain, (class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_3734, plain, (class_Rings_Oordered__comm__semiring(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7216, plain, (class_Rings_Oordered__comm__semiring(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4492, plain, (class_Smallcheck_Osmall(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4264, plain, (class_Smallcheck_Osmall(tc_Product__Type_Ounit))). 3.26/3.45 cnf(i_0_4310, plain, (class_Rings_Oordered__ring__abs(tc_Int_Oint))). 3.26/3.45 cnf(i_0_5492, plain, (c_Orderings_Obot__class_Obot(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_944, plain, (c_Orderings_Oord__class_Omax(tc_Nat_Onat)=c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5453, plain, (c_Orderings_Oord__class_Omin(tc_Nat_Onat)=c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4502, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_6404, plain, (c_Fun_Oid(tc_Int_Oint)=c_Int_Oring__1__class_Oof__int(tc_Int_Oint))). 3.26/3.45 cnf(i_0_4261, plain, (c_HOL_Obool_Obool__size(c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7127, plain, (c_HOL_Obool_Obool__size(c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_3892, plain, (c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)))). 3.26/3.45 cnf(i_0_1982, plain, (c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)))). 3.26/3.45 cnf(i_0_3189, plain, (class_Nat_Osize(tc_Option_Ooption(X1)))). 3.26/3.45 cnf(i_0_4443, plain, (c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_963, plain, (class_Nat_Osize(tc_List_Olist(X1)))). 3.26/3.45 cnf(i_0_3116, plain, (class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(X1)))). 3.26/3.45 cnf(i_0_6040, plain, (class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(X1)))). 3.26/3.45 cnf(i_0_234, plain, (class_HOL_Oequal(tc_Option_Ooption(X1)))). 3.26/3.45 cnf(i_0_3825, plain, (class_HOL_Oequal(tc_List_Olist(X1)))). 3.26/3.45 cnf(i_0_7349, plain, (class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(X1)))). 3.26/3.45 cnf(i_0_6868, 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))). 3.26/3.45 cnf(i_0_7009, plain, (class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(X1)))). 3.26/3.45 cnf(i_0_3290, plain, (c_Equiv__Relations_Oequivp(X1,c_fequal))). 3.26/3.45 cnf(i_0_7547, plain, (c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than))). 3.26/3.45 cnf(i_0_1281, plain, (c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat))). 3.26/3.45 cnf(i_0_4575, 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))). 3.26/3.45 cnf(i_0_2762, plain, (c_Int_OMin=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))). 3.26/3.45 cnf(i_0_6775, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1)=X1)). 3.26/3.45 cnf(i_0_3310, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X1)=X1)). 3.26/3.45 cnf(i_0_1896, plain, (hAPP(c_Int_OAbs__Integ,esk142_1(X1))=X1)). 3.26/3.45 cnf(i_0_7509, plain, (hAPP(c_Set_OCollect(X1),X2)=X2)). 3.26/3.45 cnf(i_0_2091, plain, (hAPP(c_COMBI(X1),X2)=X2)). 3.26/3.45 cnf(i_0_2326, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)). 3.26/3.45 cnf(i_0_3259, hypothesis, (hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)=hAPP(c_Com_Obody,v_pn))). 3.26/3.45 cnf(i_0_5523, plain, (c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(X1)))). 3.26/3.45 cnf(i_0_3158, plain, (c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(X1)))). 3.26/3.45 cnf(i_0_827, plain, (c_Option_Ois__none(X1,c_Option_Ooption_ONone(X1)))). 3.26/3.45 cnf(i_0_2097, plain, (class_Nat_Osize(tc_prod(X1,X2)))). 3.26/3.45 cnf(i_0_2395, plain, (class_Nat_Osize(tc_sum(X1,X2)))). 3.26/3.45 cnf(i_0_6230, plain, (class_HOL_Oequal(tc_prod(X1,X2)))). 3.26/3.45 cnf(i_0_7312, plain, (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5394, plain, (class_HOL_Oequal(tc_sum(X1,X2)))). 3.26/3.45 cnf(i_0_4381, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Onat__of,X1))=X1)). 3.26/3.45 cnf(i_0_6684, plain, (hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,X1))=X1)). 3.26/3.45 cnf(i_0_4425, 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))). 3.26/3.45 cnf(i_0_5346, plain, (hAPP(c_Code__Numeral_Onat__of,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral),X1))=X1)). 3.26/3.45 cnf(i_0_5550, plain, (c_Predicate_Oconversep(X1,X1,c_fequal)=c_fequal)). 3.26/3.45 cnf(i_0_4008, 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))). 3.26/3.45 cnf(i_0_7140, 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))). 3.26/3.45 cnf(i_0_4725, 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))). 3.26/3.45 cnf(i_0_6276, plain, (hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1980, plain, (hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4203, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_4675, plain, (hAPP(c_New__DSequence_Opos__empty(X1),X2)=c_Lazy__Sequence_Oempty(X1))). 3.26/3.45 cnf(i_0_883, plain, (c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))). 3.26/3.45 cnf(i_0_6645, plain, (c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5424, plain, (hAPP(c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom),c_Com_Obodies)=c_Com_Obody)). 3.26/3.45 cnf(i_0_2720, plain, (c_HOL_OThe(X1,hAPP(c_fequal,X2))=X2)). 3.26/3.45 cnf(i_0_6928, plain, (c_Hilbert__Choice_OEps(X1,hAPP(c_fequal,X2))=X2)). 3.26/3.45 cnf(i_0_2593, plain, (hBOOL(hAPP(hAPP(c_fequal,X1),X1)))). 3.26/3.45 cnf(i_0_6679, hypothesis, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_F)))). 3.26/3.45 cnf(i_0_4551, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olist_ONil(X1))))). 3.26/3.45 cnf(i_0_46, plain, (c_Random_Oinc__shift(X1,X1)=c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))). 3.26/3.45 cnf(i_0_1994, plain, (c_List_Oremdups(X1,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_3127, plain, (hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 3.26/3.45 cnf(i_0_728, 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))))). 3.26/3.45 cnf(i_0_1840, plain, (c_Nitpick_Onat__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 3.26/3.45 cnf(i_0_6863, plain, (c_Wellfounded_Owf(X1,c_List_Omeasures(X1,X2)))). 3.26/3.45 cnf(i_0_5277, plain, (c_List_Olist__all(X1,X2,c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_3210, plain, (c_List_Obutlast(X1,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_6662, 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))))). 3.26/3.45 cnf(i_0_6174, plain, (c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less))). 3.26/3.45 cnf(i_0_2229, plain, (c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(X1,X2)))). 3.26/3.45 cnf(i_0_5975, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X1)))). 3.26/3.45 cnf(i_0_7154, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X1)))). 3.26/3.45 cnf(i_0_1415, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X1),X1)))). 3.26/3.45 cnf(i_0_6644, 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))). 3.26/3.45 cnf(i_0_3894, plain, (c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))))). 3.26/3.45 cnf(i_0_7342, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2380, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X1)))). 3.26/3.45 cnf(i_0_3321, 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))). 3.26/3.45 cnf(i_0_2536, plain, (c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1))). 3.26/3.45 cnf(i_0_2373, 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))). 3.26/3.45 cnf(i_0_656, plain, (c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less)=c_FunDef_Omax__strict)). 3.26/3.45 cnf(i_0_6945, plain, (c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less)=c_FunDef_Omin__strict)). 3.26/3.45 cnf(i_0_4076, 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))). 3.26/3.45 cnf(i_0_6757, 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))). 3.26/3.45 cnf(i_0_3697, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)=X1)). 3.26/3.45 cnf(i_0_751, 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))). 3.26/3.45 cnf(i_0_3146, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)). 3.26/3.45 cnf(i_0_853, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)). 3.26/3.45 cnf(i_0_83, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)). 3.26/3.45 cnf(i_0_1879, plain, (c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than)=c_FunDef_Opair__less)). 3.26/3.45 cnf(i_0_2880, plain, (hAPP(c_List_Otl(X1),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_4358, plain, (hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_3585, plain, (hAPP(c_List_Orotate1(X1),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_2761, plain, (hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),X1)=X1)). 3.26/3.45 cnf(i_0_1438, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7560, plain, (c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(X1)))). 3.26/3.45 cnf(i_0_6664, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5061, 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))). 3.26/3.45 cnf(i_0_2267, plain, (c_List_Olist_Olist__size(X1,X2,c_List_Olist_ONil(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1400, plain, (c_Option_Ooption_Ooption__size(X1,X2,c_Option_Ooption_ONone(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_2157, plain, (c_List_OtakeWhile(X1,X2,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_7323, plain, (c_List_Oremove1(X1,X2,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_5849, plain, (c_List_Osublist(X1,c_List_Olist_ONil(X1),X2)=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_3795, plain, (hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(X1,X2))))). 3.26/3.45 cnf(i_0_7532, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Oremdups(X1,X2))))). 3.26/3.45 cnf(i_0_1838, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),c_List_Olist_ONil(X1))))). 3.26/3.45 cnf(i_0_6141, plain, (c_Relation_Orefl__on(X1,X2,c_Relation_OId__on(X1,X2)))). 3.26/3.45 cnf(i_0_2895, plain, (c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)))). 3.26/3.45 cnf(i_0_6017, plain, (c_Fun_Oinj__on(X1,X1,c_COMBI(X1),X2))). 3.26/3.45 cnf(i_0_3263, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)))). 3.26/3.45 cnf(i_0_3542, plain, (c_Fun_Oinj__on(X1,X1,c_Fun_Oid(X1),X2))). 3.26/3.45 cnf(i_0_1632, plain, (hAPP(c_New__DSequence_Oneg__single(X1,X2),X3)=c_Lazy__Sequence_Ohb__single(X1,X2))). 3.26/3.45 cnf(i_0_34, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 3.26/3.45 cnf(i_0_433, plain, (c_Option_Oset(X1,c_Option_Ooption_ONone(X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_262, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_List_Oset(X1),X2))))). 3.26/3.45 cnf(i_0_6335, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 3.26/3.45 cnf(i_0_6777, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))=X1)). 3.26/3.45 cnf(i_0_1408, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))=X1)). 3.26/3.45 cnf(i_0_3628, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X1))))). 3.26/3.45 cnf(i_0_2427, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),X1),X2),X1)))). 3.26/3.45 cnf(i_0_380, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 3.26/3.45 cnf(i_0_2758, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1)). 3.26/3.45 cnf(i_0_42, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)). 3.26/3.45 cnf(i_0_2869, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=X1)). 3.26/3.45 cnf(i_0_7543, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=X1)). 3.26/3.45 cnf(i_0_1712, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=X1)). 3.26/3.45 cnf(i_0_6147, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=X1)). 3.26/3.45 cnf(i_0_4192, plain, (hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2))=X2)). 3.26/3.45 cnf(i_0_4287, plain, (hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X2))=X2)). 3.26/3.45 cnf(i_0_1828, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Olist_ONil(X1))=X2)). 3.26/3.45 cnf(i_0_2861, plain, (c_List_Olist__all2(X1,X1,c_fequal,X2,X2))). 3.26/3.45 cnf(i_0_738, plain, (hAPP(hAPP(c_List_Odrop(X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)=X2)). 3.26/3.45 cnf(i_0_3006, plain, (hAPP(hAPP(c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)=X2)). 3.26/3.45 cnf(i_0_2085, plain, (hAPP(hAPP(c_COMBK(X1,X2),X3),X4)=X3)). 3.26/3.45 cnf(i_0_2870, plain, (c_Nat_Onat_Onat__case(X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)). 3.26/3.45 cnf(i_0_3991, plain, (c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))=X2)). 3.26/3.45 cnf(i_0_2606, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(X1)),c_Option_Ooption_ONone(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_3264, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Olist_ONil(X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_251, plain, (hAPP(c_List_Ofilter(X1,X2),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_5774, plain, (hAPP(c_New__DSequence_Opos__single(X1,X2),X3)=hAPP(c_Lazy__Sequence_Osingle(X1),X2))). 3.26/3.45 cnf(i_0_5841, 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))). 3.26/3.45 cnf(i_0_2145, plain, (c_List_Otranspose(X1,c_List_Olist_ONil(tc_List_Olist(X1)))=c_List_Olist_ONil(tc_List_Olist(X1)))). 3.26/3.45 cnf(i_0_6511, plain, (c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 3.26/3.45 cnf(i_0_7039, plain, (c_List_Oremdups(X1,c_List_Oremdups(X1,X2))=c_List_Oremdups(X1,X2))). 3.26/3.45 cnf(i_0_6358, 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)))). 3.26/3.45 cnf(i_0_4488, plain, (hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_5761, 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))). 3.26/3.45 cnf(i_0_2108, plain, (c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_4733, plain, (hAPP(c_Relation_ORange(X1,X1),c_Relation_OId__on(X1,X2))=X2)). 3.26/3.45 cnf(i_0_470, plain, (hAPP(c_Relation_ODomain(X1,X1),c_Relation_OId__on(X1,X2))=X2)). 3.26/3.45 cnf(i_0_106, plain, (c_Fun_Oinj__on(X1,tc_Option_Ooption(X1),c_Option_Ooption_OSome(X1),X2))). 3.26/3.45 cnf(i_0_6583, plain, (hAPP(c_Nat_Onat_Onat__rec(X1,X2,X3),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)). 3.26/3.45 cnf(i_0_7105, plain, (hAPP(c_Set_Oimage(X1,X1,c_COMBI(X1)),X2)=X2)). 3.26/3.45 cnf(i_0_834, plain, (hAPP(c_Set_Oimage(X1,X1,c_Fun_Oid(X1)),X2)=X2)). 3.26/3.45 cnf(i_0_5768, 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))). 3.26/3.45 cnf(i_0_5072, 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))). 3.26/3.45 cnf(i_0_1004, plain, (hAPP(c_Int_Onat,X1)=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1))). 3.26/3.45 cnf(i_0_6519, 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))). 3.26/3.45 cnf(i_0_1488, 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))). 3.26/3.45 cnf(i_0_6641, plain, (hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))=X1)). 3.26/3.45 cnf(i_0_2882, 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))). 3.26/3.45 cnf(i_0_84, 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))). 3.26/3.45 cnf(i_0_2372, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1)))). 3.26/3.45 cnf(i_0_4082, 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))). 3.26/3.45 cnf(i_0_2098, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 3.26/3.45 cnf(i_0_4019, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))))). 3.26/3.45 cnf(i_0_1751, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X2))))). 3.26/3.45 cnf(i_0_3249, 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))). 3.26/3.45 cnf(i_0_5090, plain, (c_Relation_Ototal__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2))). 3.26/3.45 cnf(i_0_317, 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))). 3.26/3.45 cnf(i_0_3659, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))))). 3.26/3.45 cnf(i_0_2583, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,X1,X2))))). 3.26/3.45 cnf(i_0_3498, 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))). 3.26/3.45 cnf(i_0_627, plain, (c_List_Omap__filter(X1,X2,X3,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X2))). 3.26/3.45 cnf(i_0_7490, plain, (c_List_Omaps(X1,X2,X3,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X2))). 3.26/3.45 cnf(i_0_4087, 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))). 3.26/3.45 cnf(i_0_2850, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,X1,X2))))). 3.26/3.45 cnf(i_0_2448, plain, (hAPP(hAPP(c_List_Otake(X1),X2),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_6003, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_1939, plain, (hAPP(hAPP(c_List_Otake(X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_4327, plain, (hAPP(c_Option_Omap(X1,X1),c_COMBI(X1))=c_Fun_Oid(tc_Option_Ooption(X1)))). 3.26/3.45 cnf(i_0_24, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X2))))). 3.26/3.45 cnf(i_0_2541, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)))). 3.26/3.45 cnf(i_0_2418, plain, (hAPP(c_Option_Omap(X1,X1),c_Fun_Oid(X1))=c_Fun_Oid(tc_Option_Ooption(X1)))). 3.26/3.45 cnf(i_0_727, plain, (c_Predicate_Oconversep(X1,X2,c_Predicate_Oconversep(X2,X1,X3))=X3)). 3.26/3.45 cnf(i_0_377, plain, (hAPP(c_List_Omap(X1,X1),c_COMBI(X1))=c_Fun_Oid(tc_List_Olist(X1)))). 3.26/3.45 cnf(i_0_490, plain, (hAPP(c_List_Omap(X1,X1),c_Fun_Oid(X1))=c_Fun_Oid(tc_List_Olist(X1)))). 3.26/3.45 cnf(i_0_6053, plain, (c_Option_Ooption_Ooption__rec(X1,X2,X3,X4,c_Option_Ooption_ONone(X2))=X3)). 3.26/3.45 cnf(i_0_2549, plain, (c_Map_Omap__upds(X1,X2,X3,X4,c_List_Olist_ONil(X2))=X3)). 3.26/3.45 cnf(i_0_6743, plain, (c_Map_Omap__upds(X1,X2,X3,c_List_Olist_ONil(X1),X4)=X3)). 3.26/3.45 cnf(i_0_4554, plain, (c_Lazy__Sequence_Osmall__lazy_H(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))=c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,X1))). 3.26/3.45 cnf(i_0_6203, 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))))). 3.26/3.45 cnf(i_0_3480, 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))))). 3.26/3.45 cnf(i_0_4734, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X2))))). 3.26/3.45 cnf(i_0_1287, 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))). 3.26/3.45 cnf(i_0_4106, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,X1),X2))))). 3.26/3.45 cnf(i_0_3755, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X2)))). 3.26/3.45 cnf(i_0_3924, 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))). 3.26/3.45 cnf(i_0_5267, 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))))). 3.26/3.45 cnf(i_0_3575, plain, (c_List_Olist__all2(X1,X2,X3,c_List_Olist_ONil(X1),c_List_Olist_ONil(X2)))). 3.26/3.45 cnf(i_0_5397, 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))). 3.26/3.45 cnf(i_0_6848, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X2)=X2)). 3.26/3.45 cnf(i_0_7564, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X2)=X2)). 3.26/3.45 cnf(i_0_7301, plain, (hAPP(c_Product__Type_Ofst(X1,X2),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4))=X3)). 3.26/3.45 cnf(i_0_4932, plain, (hAPP(c_Product__Type_Osnd(X1,X2),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4))=X4)). 3.26/3.45 cnf(i_0_282, 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))). 3.26/3.45 cnf(i_0_428, plain, (hAPP(c_List_Oset(X1),c_List_Oremdups(X1,X2))=hAPP(c_List_Oset(X1),X2))). 3.26/3.45 cnf(i_0_6380, 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))). 3.26/3.45 cnf(i_0_4189, 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))). 3.26/3.45 cnf(i_0_2965, 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))). 3.26/3.45 cnf(i_0_5407, 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)))). 3.26/3.45 cnf(i_0_2009, 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))). 3.26/3.45 cnf(i_0_4418, 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))). 3.26/3.45 cnf(i_0_2242, 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)))). 3.26/3.45 cnf(i_0_5023, plain, (c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),hAPP(c_Set_OPow(X1),X2))=X2)). 3.26/3.45 cnf(i_0_5180, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1)). 3.26/3.45 cnf(i_0_2043, plain, (c_Fun_Oinj__on(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Orev(X1),X2))). 3.26/3.45 cnf(i_0_1760, plain, (c_Fun_Oinj__on(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 3.26/3.45 cnf(i_0_5602, plain, (hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(X1,X2))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))). 3.26/3.45 cnf(i_0_4514, 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)). 3.26/3.45 cnf(i_0_6120, plain, (hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X2)). 3.26/3.45 cnf(i_0_6890, plain, (hAPP(c_List_Otl(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X3)). 3.26/3.45 cnf(i_0_5784, 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))). 3.26/3.45 cnf(i_0_5483, plain, (c_Nat_Onat_Onat__case(X1,X2,X3,hAPP(c_Nat_OSuc,X4))=hAPP(X3,X4))). 3.26/3.45 cnf(i_0_6723, 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)). 3.26/3.45 cnf(i_0_117, plain, (hAPP(c_List_Olist_Olist__case(X1,X2,X3,X4),c_List_Olist_ONil(X2))=X3)). 3.26/3.45 cnf(i_0_3362, plain, (hAPP(c_Fun_Ocomp(X1,X2,X1,X3),c_Fun_Oid(X1))=X3)). 3.26/3.45 cnf(i_0_2742, plain, (hAPP(c_List_Ofoldl(X1,X2,X3,X4),c_List_Olist_ONil(X2))=X4)). 3.26/3.45 cnf(i_0_5307, plain, (hAPP(c_Option_Ooption_Ooption__case(X1,X2,X3,X4),c_Option_Ooption_ONone(X2))=X3)). 3.26/3.45 cnf(i_0_1272, plain, (c_Enum_Oproduct(X1,X2,c_List_Olist_ONil(X1),X3)=c_List_Olist_ONil(tc_prod(X1,X2)))). 3.26/3.45 cnf(i_0_5246, plain, (hAPP(c_Fun_Ocomp(X1,X1,X2,c_Fun_Oid(X1)),X3)=X3)). 3.26/3.45 cnf(i_0_7344, 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))). 3.26/3.45 cnf(i_0_1685, 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))). 3.26/3.45 cnf(i_0_4565, plain, (c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2)))). 3.26/3.45 cnf(i_0_3506, plain, (c_Nitpick_OAbs__Frac(X1,c_Nitpick_Onorm__frac(X2,X3))=hAPP(hAPP(c_Nitpick_Ofrac(X1),X2),X3))). 3.26/3.45 cnf(i_0_6982, 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))). 3.26/3.45 cnf(i_0_5684, plain, (hAPP(c_List_Oset(X1),hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Oset(X1),X2))). 3.26/3.45 cnf(i_0_4563, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))). 3.26/3.45 cnf(i_0_6851, plain, (c_Wellfounded_Owf(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 3.26/3.45 cnf(i_0_1643, plain, (hAPP(c_List_Oset(X1),hAPP(c_List_Orotate1(X1),X2))=hAPP(c_List_Oset(X1),X2))). 3.26/3.45 cnf(i_0_1862, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),c_List_Olist_ONil(X1))=c_List_Olist_ONil(X2))). 3.26/3.45 cnf(i_0_4452, plain, (hAPP(hAPP(c_Option_Omap(X1,X2),X3),c_Option_Ooption_ONone(X1))=c_Option_Ooption_ONone(X2))). 3.26/3.45 cnf(i_0_5811, plain, (c_List_Osublist(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_6291, plain, (hAPP(hAPP(c_List_Olist__update(X1,c_List_Olist_ONil(X1)),X2),X3)=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_3164, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Oinv__image(tc_Nat_Onat,X1),c_Wellfounded_Oless__than),X2)))). 3.26/3.45 cnf(i_0_2928, plain, (hAPP(c_Relation_Oconverse(X1,X1),c_Relation_OId__on(X1,X2))=c_Relation_OId__on(X1,X2))). 3.26/3.45 cnf(i_0_4973, 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))). 3.26/3.45 cnf(i_0_3999, plain, (c_HOL_OThe(X1,c_Finite__Set_Ofold1Set(X1,X2,X3))=hAPP(c_Finite__Set_Ofold1(X1,X2),X3))). 3.26/3.45 cnf(i_0_1644, plain, (hAPP(c_Relation_Oconverse(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3))=X3)). 3.26/3.45 cnf(i_0_138, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)). 3.26/3.45 cnf(i_0_2478, 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))). 3.26/3.45 cnf(i_0_80, 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))). 3.26/3.45 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))))). 3.26/3.45 cnf(i_0_1444, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))))). 3.26/3.45 cnf(i_0_5383, 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))))). 3.26/3.45 cnf(i_0_1416, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X1)))). 3.26/3.45 cnf(i_0_531, 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)))). 3.26/3.45 cnf(i_0_3287, plain, (c_List_Oinsert(X1,X2,c_List_Olist_ONil(X1))=hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_316, plain, (c_List_Oinsert(X1,X2,c_List_Oremdups(X1,X3))=c_List_Oremdups(X1,c_List_Oinsert(X1,X2,X3)))). 3.26/3.45 cnf(i_0_3650, plain, (hAPP(c_Relation_ORange(X1,X1),c_Transitive__Closure_Ortrancl(X1,X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_2340, plain, (hAPP(c_Relation_ODomain(X1,X1),c_Transitive__Closure_Ortrancl(X1,X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_5468, 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)). 3.26/3.45 cnf(i_0_2763, plain, (c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)))). 3.26/3.45 cnf(i_0_7545, 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))). 3.26/3.45 cnf(i_0_1617, plain, (hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),X1),c_Natural_Oevalc(X1))=hAPP(c_Hoare__Mirabelle_OMGT,X1))). 3.26/3.45 cnf(i_0_5544, 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))). 3.26/3.45 cnf(i_0_1496, 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))). 3.26/3.45 cnf(i_0_665, 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))))). 3.26/3.45 cnf(i_0_7100, 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)))). 3.26/3.45 cnf(i_0_5647, 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)))). 3.26/3.45 cnf(i_0_156, plain, (hAPP(c_Relation_OField(X1),hAPP(c_Relation_Oconverse(X1,X1),X2))=hAPP(c_Relation_OField(X1),X2))). 3.26/3.45 cnf(i_0_5484, 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))). 3.26/3.45 cnf(i_0_4920, 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))))). 3.26/3.45 cnf(i_0_6629, 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))))). 3.26/3.45 cnf(i_0_3464, 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))))). 3.26/3.45 cnf(i_0_7350, 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))))). 3.26/3.45 cnf(i_0_3784, 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))))). 3.26/3.45 cnf(i_0_3479, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))))). 3.26/3.45 cnf(i_0_4993, 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))))))). 3.26/3.45 cnf(i_0_4954, 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)))). 3.26/3.45 cnf(i_0_277, 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)))). 3.26/3.45 cnf(i_0_4329, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4))). 3.26/3.45 cnf(i_0_4681, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_55, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_6912, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(X1,X2))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(X2)))). 3.26/3.45 cnf(i_0_6808, 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))). 3.26/3.45 cnf(i_0_7459, 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))). 3.26/3.45 cnf(i_0_7273, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))=X2)). 3.26/3.45 cnf(i_0_4109, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),X3),c_List_Olist_ONil(X2))=c_List_Olist_ONil(tc_prod(X1,X2)))). 3.26/3.45 cnf(i_0_405, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),c_List_Olist_ONil(X1)),X3)=c_List_Olist_ONil(tc_prod(X1,X2)))). 3.26/3.45 cnf(i_0_2176, 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))))). 3.26/3.45 cnf(i_0_7558, 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)))). 3.26/3.45 cnf(i_0_1399, plain, (hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=X2)). 3.26/3.45 cnf(i_0_297, plain, (c_Fun_Ooverride__on(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X3)). 3.26/3.45 cnf(i_0_5745, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),hAPP(X3,X4))=X3)). 3.26/3.45 cnf(i_0_3578, 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)). 3.26/3.45 cnf(i_0_5518, 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)). 3.26/3.45 cnf(i_0_3094, 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)). 3.26/3.45 cnf(i_0_6650, plain, (hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5),X4)=X5)). 3.26/3.45 cnf(i_0_2058, 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)). 3.26/3.45 cnf(i_0_2123, 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))). 3.26/3.45 cnf(i_0_5452, 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)))). 3.26/3.45 cnf(i_0_1451, 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))). 3.26/3.45 cnf(i_0_5612, 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))). 3.26/3.45 cnf(i_0_5646, 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))). 3.26/3.45 cnf(i_0_7557, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olists(X1,X2))))). 3.26/3.45 cnf(i_0_313, 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))))). 3.26/3.45 cnf(i_0_2466, 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)))))). 3.26/3.45 cnf(i_0_6161, 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)))). 3.26/3.45 cnf(i_0_5883, 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)))). 3.26/3.45 cnf(i_0_3990, plain, (c_Lazy__Sequence_Oappend(X1,c_Lazy__Sequence_Olazy__sequence_OInsert(X1,X2,X3),X4)=c_Lazy__Sequence_Olazy__sequence_OInsert(X1,X2,c_Lazy__Sequence_Oappend(X1,X3,X4)))). 3.26/3.45 cnf(i_0_6037, 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)))). 3.26/3.45 cnf(i_0_2259, 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)))). 3.26/3.45 cnf(i_0_1098, 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)))). 3.26/3.45 cnf(i_0_2682, 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))). 3.26/3.45 cnf(i_0_3875, plain, (c_Option_Ooption_Ooption__rec(X1,X2,X3,X4,hAPP(c_Option_Ooption_OSome(X2),X5))=hAPP(X4,X5))). 3.26/3.45 cnf(i_0_1384, 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))). 3.26/3.45 cnf(i_0_4434, 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)). 3.26/3.45 cnf(i_0_5292, plain, (c_List_Oremove1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X3)). 3.26/3.45 cnf(i_0_2509, plain, (hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(X1),X2),X3),X4),X5)=c_New__DSequence_Oneg__single(X1,X2))). 3.26/3.45 cnf(i_0_6315, plain, (hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(X1),X2),X3),X4),X5)=c_New__DSequence_Opos__single(X1,X2))). 3.26/3.45 cnf(i_0_4689, 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))))). 3.26/3.45 cnf(i_0_1965, plain, (c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_651, 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))). 3.26/3.45 cnf(i_0_852, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_Set_OPow(X1),X2))))). 3.26/3.45 cnf(i_0_1860, 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))). 3.26/3.45 cnf(i_0_3266, 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))). 3.26/3.45 cnf(i_0_6515, plain, (hAPP(hAPP(c_Map_Omap__of(X1,X2),c_List_Olist_ONil(tc_prod(X1,X2))),X3)=c_Option_Ooption_ONone(X2))). 3.26/3.45 cnf(i_0_3316, 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)))). 3.26/3.45 cnf(i_0_4820, 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)))). 3.26/3.45 cnf(i_0_7214, plain, (c_List_Oremdups(X1,hAPP(c_List_Ofilter(X1,X2),X3))=hAPP(c_List_Ofilter(X1,X2),c_List_Oremdups(X1,X3)))). 3.26/3.45 cnf(i_0_6514, 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))). 3.26/3.45 cnf(i_0_5117, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Oremdups(X1,X2))=hAPP(c_Finite__Set_Ocard(X1),hAPP(c_List_Oset(X1),X2)))). 3.26/3.45 cnf(i_0_477, 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)))). 3.26/3.45 cnf(i_0_6572, 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)). 3.26/3.45 cnf(i_0_7282, plain, (hAPP(hAPP(c_List_Olist__update(X1,X2),X3),hAPP(hAPP(c_List_Onth(X1),X2),X3))=X2)). 3.26/3.45 cnf(i_0_4826, 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)). 3.26/3.45 cnf(i_0_5027, 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)). 3.26/3.45 cnf(i_0_6173, 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)). 3.26/3.45 cnf(i_0_4985, 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)))))). 3.26/3.45 cnf(i_0_3483, 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)). 3.26/3.45 cnf(i_0_3931, plain, (c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(X1,X2,X3,X4,c_Lazy__Sequence_Olazy__sequence_OInsert(X2,X5,X6))=hAPP(hAPP(X4,X5),X6))). 3.26/3.45 cnf(i_0_2876, 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)))). 3.26/3.45 cnf(i_0_3568, plain, (c_Product__Type_Omap__pair(X1,X1,X2,X2,c_COMBI(X1),c_COMBI(X2))=c_Fun_Oid(tc_prod(X1,X2)))). 3.26/3.45 cnf(i_0_7101, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(X1,X2,X3))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(X3)))). 3.26/3.45 cnf(i_0_6014, 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)). 3.26/3.45 cnf(i_0_3673, 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)))). 3.26/3.45 cnf(i_0_3262, 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)). 3.26/3.45 cnf(i_0_4072, 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)). 3.26/3.45 cnf(i_0_5779, 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)). 3.26/3.45 cnf(i_0_4808, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X4)). 3.26/3.45 cnf(i_0_5722, plain, (hAPP(c_Option_Ooption_Ooption__case(X1,X2,X3,X4),hAPP(c_Option_Ooption_OSome(X2),X5))=hAPP(X4,X5))). 3.26/3.45 cnf(i_0_4319, plain, (hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))). 3.26/3.45 cnf(i_0_1428, 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)). 3.26/3.45 cnf(i_0_4280, plain, (c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,X1))=hAPP(c_Nat_OSuc,c_Nat_Onat_Onat__size(X1)))). 3.26/3.45 cnf(i_0_1429, 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)). 3.26/3.45 cnf(i_0_4346, 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))). 3.26/3.45 cnf(i_0_6854, 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))). 3.26/3.45 cnf(i_0_5429, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_3731, 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)))))). 3.26/3.45 cnf(i_0_6850, 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)))))). 3.26/3.45 cnf(i_0_5986, 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))))). 3.26/3.45 cnf(i_0_1701, 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))))). 3.26/3.45 cnf(i_0_2361, 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)))). 3.26/3.45 cnf(i_0_3, 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))). 3.26/3.45 cnf(i_0_5463, plain, (hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(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)))). 3.26/3.45 cnf(i_0_324, 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))). 3.26/3.45 cnf(i_0_6630, 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))). 3.26/3.45 cnf(i_0_2218, 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)))))). 3.26/3.45 cnf(i_0_5943, 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)))). 3.26/3.45 cnf(i_0_6784, 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))). 3.26/3.45 cnf(i_0_3838, 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))))). 3.26/3.45 cnf(i_0_1895, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),esk142_1(X1)),c_Int_OInteg)))). 3.26/3.45 cnf(i_0_5395, 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)))). 3.26/3.45 cnf(i_0_7106, plain, (hAPP(c_Relation_ODomain(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3))=hAPP(c_Relation_ORange(X2,X1),X3))). 3.26/3.45 cnf(i_0_7561, plain, (hAPP(c_Relation_ORange(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3))=hAPP(c_Relation_ODomain(X2,X1),X3))). 3.26/3.45 cnf(i_0_4344, 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))). 3.26/3.45 cnf(i_0_5741, 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)))). 3.26/3.45 cnf(i_0_2507, 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))). 3.26/3.45 cnf(i_0_7566, 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)))). 3.26/3.45 cnf(i_0_2896, 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)))). 3.26/3.45 cnf(i_0_6560, 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)))). 3.26/3.45 cnf(i_0_3846, 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)). 3.26/3.45 cnf(i_0_7222, 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)))). 3.26/3.45 cnf(i_0_3152, plain, (c_Map_Omap__add(X1,X2,X3,hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)))=X3)). 3.26/3.45 cnf(i_0_5697, plain, (c_Map_Omap__add(X1,X2,hAPP(c_COMBK(tc_Option_Ooption(X2),X1),c_Option_Ooption_ONone(X2)),X3)=X3)). 3.26/3.45 cnf(i_0_617, 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))). 3.26/3.45 cnf(i_0_257, 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)))))). 3.26/3.45 cnf(i_0_7136, 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))). 3.26/3.45 cnf(i_0_3459, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))). 3.26/3.45 cnf(i_0_378, plain, (hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),X5))). 3.26/3.45 cnf(i_0_4642, 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))))). 3.26/3.45 cnf(i_0_6887, 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)))). 3.26/3.45 cnf(i_0_3128, 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))). 3.26/3.45 cnf(i_0_986, 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))). 3.26/3.45 cnf(i_0_5743, 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))). 3.26/3.45 cnf(i_0_2963, 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)))))). 3.26/3.45 cnf(i_0_2624, 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)))). 3.26/3.45 cnf(i_0_325, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X4)))). 3.26/3.45 cnf(i_0_4939, 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)))). 3.26/3.45 cnf(i_0_5013, plain, (hAPP(c_List_Oset(X1),c_List_Oinsert(X1,X2,X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),X3)))). 3.26/3.45 cnf(i_0_2502, 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)))). 3.26/3.45 cnf(i_0_4638, 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)))). 3.26/3.45 cnf(i_0_4177, plain, (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_OgreaterThanAtMost(tc_Int_Oint,X1,X2))). 3.26/3.45 cnf(i_0_1977, plain, (c_Lazy__Sequence_Oappend(tc_Option_Ooption(X1),hAPP(X2,X3),hAPP(X4,X3))=hAPP(c_New__DSequence_Oneg__union(X1,X2,X4),X3))). 3.26/3.45 cnf(i_0_5793, 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)))))). 3.26/3.45 cnf(i_0_379, 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)))). 3.26/3.45 cnf(i_0_7345, 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)))). 3.26/3.45 cnf(i_0_1257, 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))). 3.26/3.45 cnf(i_0_701, 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))))). 3.26/3.45 cnf(i_0_4950, 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))))). 3.26/3.45 cnf(i_0_5423, 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))). 3.26/3.45 cnf(i_0_3179, 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))). 3.26/3.45 cnf(i_0_1601, 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))). 3.26/3.45 cnf(i_0_296, plain, (hAPP(c_Set_Oimage(tc_prod(X1,X2),X2,c_Product__Type_Osnd(X1,X2)),X3)=hAPP(c_Relation_ORange(X1,X2),X3))). 3.26/3.45 cnf(i_0_6681, plain, (hAPP(c_Set_Oimage(tc_prod(X1,X2),X1,c_Product__Type_Ofst(X1,X2)),X3)=hAPP(c_Relation_ODomain(X1,X2),X3))). 3.26/3.45 cnf(i_0_6012, 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)))). 3.26/3.45 cnf(i_0_1885, 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))). 3.26/3.45 cnf(i_0_5713, 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)))). 3.26/3.45 cnf(i_0_321, 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)))). 3.26/3.45 cnf(i_0_246, 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))). 3.26/3.45 cnf(i_0_3548, 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)). 3.26/3.45 cnf(i_0_6154, 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)))). 3.26/3.45 cnf(i_0_1983, 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)))). 3.26/3.45 cnf(i_0_2225, 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))). 3.26/3.45 cnf(i_0_4078, 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))))). 3.26/3.45 cnf(i_0_762, 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))). 3.26/3.45 cnf(i_0_3218, 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)))). 3.26/3.45 cnf(i_0_4655, 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)))). 3.26/3.45 cnf(i_0_2228, 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)))). 3.26/3.45 cnf(i_0_4628, 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)). 3.26/3.45 cnf(i_0_5530, 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))))))). 3.26/3.45 cnf(i_0_3807, 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)))). 3.26/3.45 cnf(i_0_3824, 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))). 3.26/3.45 cnf(i_0_5123, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))). 3.26/3.45 cnf(i_0_961, 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)))). 3.26/3.45 cnf(i_0_686, 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)))))). 3.26/3.45 cnf(i_0_5065, 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)))). 3.26/3.45 cnf(i_0_6439, 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))). 3.26/3.45 cnf(i_0_3952, 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)))). 3.26/3.45 cnf(i_0_653, 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)))). 3.26/3.45 cnf(i_0_3397, 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)))). 3.26/3.45 cnf(i_0_3265, 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)))). 3.26/3.45 cnf(i_0_7353, plain, (c_Option_Ooption_Ooption__size(X1,X2,hAPP(c_Option_Ooption_OSome(X1),X3))=hAPP(c_Nat_OSuc,hAPP(X2,X3)))). 3.26/3.45 cnf(i_0_3540, 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))). 3.26/3.45 cnf(i_0_3796, 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))). 3.26/3.45 cnf(i_0_1657, 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))). 3.26/3.45 cnf(i_0_3547, 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))). 3.26/3.45 cnf(i_0_2620, 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))). 3.26/3.45 cnf(i_0_1096, 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))). 3.26/3.45 cnf(i_0_2470, 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))). 3.26/3.45 cnf(i_0_7424, 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)))). 3.26/3.45 cnf(i_0_4948, 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))). 3.26/3.45 cnf(i_0_146, 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)))). 3.26/3.45 cnf(i_0_4500, 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)))). 3.26/3.45 cnf(i_0_2266, plain, (hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X3,tc_prod(X2,X3)),X4),c_Product__Type_OPair(X2,X3))=X4)). 3.26/3.45 cnf(i_0_4949, 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)))). 3.26/3.45 cnf(i_0_4987, 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)))). 3.26/3.45 cnf(i_0_4441, 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)))). 3.26/3.45 cnf(i_0_3536, 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)))). 3.26/3.45 cnf(i_0_2272, 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)))). 3.26/3.45 cnf(i_0_2068, 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)))). 3.26/3.45 cnf(i_0_6913, 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)))). 3.26/3.45 cnf(i_0_3814, 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)). 3.26/3.45 cnf(i_0_331, 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))). 3.26/3.45 cnf(i_0_3822, 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))). 3.26/3.45 cnf(i_0_5253, 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)))). 3.26/3.45 cnf(i_0_1284, 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))). 3.26/3.45 cnf(i_0_3187, 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))). 3.26/3.45 cnf(i_0_182, 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))). 3.26/3.45 cnf(i_0_3278, 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)))). 3.26/3.45 cnf(i_0_7293, 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))). 3.26/3.45 cnf(i_0_6368, 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)))). 3.26/3.45 cnf(i_0_5241, plain, (c_Map_Omap__upds(X1,X2,c_Map_Omap__add(X1,X2,X3,X4),X5,X6)=c_Map_Omap__add(X1,X2,X3,c_Map_Omap__upds(X1,X2,X4,X5,X6)))). 3.26/3.45 cnf(i_0_480, 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))). 3.26/3.45 cnf(i_0_499, 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)))). 3.26/3.45 cnf(i_0_75, 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))))). 3.26/3.45 cnf(i_0_6663, 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))))). 3.26/3.45 cnf(i_0_4390, 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))))). 3.26/3.45 cnf(i_0_1526, 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)))). 3.26/3.45 cnf(i_0_912, 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)))). 3.26/3.45 cnf(i_0_4046, 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))). 3.26/3.45 cnf(i_0_3534, 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))). 3.26/3.45 cnf(i_0_3476, plain, (hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)=X2)). 3.26/3.45 cnf(i_0_1639, 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)). 3.26/3.45 cnf(i_0_3183, plain, (hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X1,X3),hAPP(c_Product__Type_OPair(X2,X1),X4)),X5)=hAPP(X5,X4))). 3.26/3.45 cnf(i_0_7239, 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)))))). 3.26/3.45 cnf(i_0_1702, 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)))). 3.26/3.45 cnf(i_0_7083, 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)))). 3.26/3.45 cnf(i_0_6713, 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))). 3.26/3.45 cnf(i_0_3205, 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)))). 3.26/3.45 cnf(i_0_1902, 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)))). 3.26/3.45 cnf(i_0_4407, 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))))). 3.26/3.45 cnf(i_0_1412, 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))))). 3.26/3.45 cnf(i_0_4214, 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))). 3.26/3.45 cnf(i_0_232, 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))). 3.26/3.45 cnf(i_0_1289, 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))). 3.26/3.45 cnf(i_0_4908, 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)))). 3.26/3.45 cnf(i_0_1993, 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))). 3.26/3.45 cnf(i_0_2404, 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)))). 3.26/3.45 cnf(i_0_4167, 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)). 3.26/3.45 cnf(i_0_3772, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)),hAPP(hAPP(c_List_Odrop(X1),X2),X3))=X3)). 3.26/3.45 cnf(i_0_2514, 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))). 3.26/3.45 cnf(i_0_629, 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))). 3.26/3.45 cnf(i_0_6732, 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))). 3.26/3.45 cnf(i_0_6236, 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))). 3.26/3.45 cnf(i_0_2560, 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))). 3.26/3.45 cnf(i_0_457, 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))))). 3.26/3.45 cnf(i_0_3639, 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))))). 3.26/3.45 cnf(i_0_40, 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)))). 3.26/3.45 cnf(i_0_2369, 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)))). 3.26/3.45 cnf(i_0_7234, 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)))). 3.26/3.45 cnf(i_0_230, 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)))). 3.26/3.45 cnf(i_0_5152, 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))))). 3.26/3.45 cnf(i_0_7340, 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)). 3.26/3.45 cnf(i_0_4490, 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))))). 3.26/3.45 cnf(i_0_5786, 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)))). 3.26/3.45 cnf(i_0_6657, 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))). 3.26/3.45 cnf(i_0_5771, 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)))). 3.26/3.45 cnf(i_0_5781, 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))). 3.26/3.45 cnf(i_0_1663, 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)))). 3.26/3.45 cnf(i_0_2256, 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))). 3.26/3.45 cnf(i_0_2897, 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)))). 3.26/3.45 cnf(i_0_7521, 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))). 3.26/3.45 cnf(i_0_4707, 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))). 3.26/3.45 cnf(i_0_6268, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_Enum_On__lists(X1,X2,X3))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),X2))). 3.26/3.45 cnf(i_0_536, 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)))). 3.26/3.45 cnf(i_0_1144, 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)))))). 3.26/3.45 cnf(i_0_7469, 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))). 3.26/3.45 cnf(i_0_3410, 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))). 3.26/3.45 cnf(i_0_5245, 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))))). 3.26/3.45 cnf(i_0_1640, 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))). 3.26/3.45 cnf(i_0_3011, 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))))). 3.26/3.45 cnf(i_0_7341, 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)). 3.26/3.45 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),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))))). 3.26/3.45 cnf(i_0_2746, 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)))). 3.26/3.45 cnf(i_0_5522, 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))). 3.26/3.45 cnf(i_0_5276, 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))). 3.26/3.45 cnf(i_0_4621, 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)))). 3.26/3.45 cnf(i_0_1199, 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))). 3.26/3.45 cnf(i_0_2420, 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))))). 3.26/3.45 cnf(i_0_1305, plain, (c_Predicate_Opred__comp(X1,X2,X3,c_Predicate_Oconversep(X2,X1,X4),c_Predicate_Oconversep(X3,X2,X5))=c_Predicate_Oconversep(X3,X1,c_Predicate_Opred__comp(X3,X2,X1,X5,X4)))). 3.26/3.45 cnf(i_0_526, 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)))). 3.26/3.45 cnf(i_0_4756, 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)))). 3.26/3.45 cnf(i_0_2672, 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)))))). 3.26/3.45 cnf(i_0_6271, 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)))). 3.26/3.45 cnf(i_0_2384, 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)))). 3.26/3.45 cnf(i_0_3087, 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)))). 3.26/3.45 cnf(i_0_677, 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)))))). 3.26/3.45 cnf(i_0_2865, 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))). 3.26/3.45 cnf(i_0_6849, 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)))). 3.26/3.45 cnf(i_0_861, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))))))). 3.26/3.45 cnf(i_0_4157, 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))). 3.26/3.45 cnf(i_0_493, 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)). 3.26/3.45 cnf(i_0_7538, 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)). 3.26/3.45 cnf(i_0_4466, 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)))). 3.26/3.45 cnf(i_0_3348, plain, (c_List_Olists(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=hAPP(c_fequal,c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_284, plain, (c_List_Oremdups(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),c_List_Oremdups(X2,X4)))=c_List_Oremdups(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X4)))). 3.26/3.45 cnf(i_0_5611, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(X1)),c_Lazy__Sequence_Olazy__sequence_OInsert(X1,X2,X3))=hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(X1)),X3)))). 3.26/3.45 cnf(i_0_4148, plain, (c_List_Olistset(X1,c_List_Olist_ONil(tc_fun(X1,tc_HOL_Obool)))=hAPP(c_fequal,c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_7024, 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))). 3.26/3.45 cnf(i_0_7313, 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))). 3.26/3.45 cnf(i_0_5575, 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))))). 3.26/3.45 cnf(i_0_1215, plain, (c_HOL_OThe(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2)). 3.26/3.45 cnf(i_0_5237, 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)). 3.26/3.45 cnf(i_0_6287, 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)))). 3.26/3.45 cnf(i_0_729, 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))))))). 3.26/3.45 cnf(i_0_1887, 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))))). 3.26/3.45 cnf(i_0_2960, 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)))). 3.26/3.45 cnf(i_0_4133, 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)))). 3.26/3.45 cnf(i_0_3864, 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)))). 3.26/3.45 cnf(i_0_7283, 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)))). 3.26/3.45 cnf(i_0_4855, 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)))). 3.26/3.45 cnf(i_0_4735, 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)))). 3.26/3.45 cnf(i_0_6750, 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)))). 3.26/3.45 cnf(i_0_4271, 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)))). 3.26/3.45 cnf(i_0_2263, 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)))). 3.26/3.45 cnf(i_0_2012, 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)))). 3.26/3.45 cnf(i_0_6897, 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)))). 3.26/3.45 cnf(i_0_2661, 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)))). 3.26/3.45 cnf(i_0_2323, 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)))). 3.26/3.45 cnf(i_0_6865, 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)))). 3.26/3.45 cnf(i_0_3727, 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))). 3.26/3.45 cnf(i_0_141, 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))). 3.26/3.45 cnf(i_0_3331, 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))). 3.26/3.45 cnf(i_0_94, 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)))). 3.26/3.45 cnf(i_0_4511, 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)))). 3.26/3.45 cnf(i_0_4825, 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)))). 3.26/3.45 cnf(i_0_7238, 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))). 3.26/3.45 cnf(i_0_7523, 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))). 3.26/3.45 cnf(i_0_451, 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)))). 3.26/3.45 cnf(i_0_5349, 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))). 3.26/3.45 cnf(i_0_5543, 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))). 3.26/3.45 cnf(i_0_681, 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))). 3.26/3.45 cnf(i_0_4503, 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))). 3.26/3.45 cnf(i_0_6111, 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)))). 3.26/3.45 cnf(i_0_1998, 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))). 3.26/3.45 cnf(i_0_5295, 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))). 3.26/3.45 cnf(i_0_6145, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_Enum_Osublists(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_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))). 3.26/3.45 cnf(i_0_959, 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)))))). 3.26/3.45 cnf(i_0_5482, 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))))). 3.26/3.45 cnf(i_0_538, 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))))). 3.26/3.45 cnf(i_0_72, 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))))). 3.26/3.45 cnf(i_0_4637, 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)))). 3.26/3.45 cnf(i_0_6839, 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)))). 3.26/3.45 cnf(i_0_226, 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)))). 3.26/3.45 cnf(i_0_7491, 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))). 3.26/3.45 cnf(i_0_4656, 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))))). 3.26/3.45 cnf(i_0_238, 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))). 3.26/3.45 cnf(i_0_2983, 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))). 3.26/3.45 cnf(i_0_5581, 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))). 3.26/3.45 cnf(i_0_943, 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))). 3.26/3.45 cnf(i_0_7257, 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))). 3.26/3.45 cnf(i_0_1217, 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))). 3.26/3.45 cnf(i_0_1440, 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))). 3.26/3.45 cnf(i_0_5835, 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))). 3.26/3.45 cnf(i_0_5672, 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))). 3.26/3.45 cnf(i_0_4547, 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))). 3.26/3.45 cnf(i_0_3899, 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))). 3.26/3.45 cnf(i_0_1155, 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))). 3.26/3.45 cnf(i_0_4507, 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))). 3.26/3.45 cnf(i_0_3782, 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))). 3.26/3.45 cnf(i_0_1329, 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)))))). 3.26/3.45 cnf(i_0_3381, 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))))). 3.26/3.45 cnf(i_0_7228, 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)))). 3.26/3.45 cnf(i_0_3123, 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))). 3.26/3.45 cnf(i_0_2087, 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))). 3.26/3.45 cnf(i_0_1626, 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)))). 3.26/3.45 cnf(i_0_908, 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)). 3.26/3.45 cnf(i_0_3878, 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))). 3.26/3.45 cnf(i_0_4247, 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))). 3.26/3.45 cnf(i_0_5428, plain, (hAPP(c_Option_Ooption_OSome(tc_prod(X1,tc_Lazy__Sequence_Olazy__sequence(X1))),hAPP(hAPP(c_Product__Type_OPair(X1,tc_Lazy__Sequence_Olazy__sequence(X1)),X2),X3))=hAPP(c_Lazy__Sequence_Oyield(X1),c_Lazy__Sequence_Olazy__sequence_OInsert(X1,X2,X3)))). 3.26/3.45 cnf(i_0_611, 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))). 3.26/3.45 cnf(i_0_5087, 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))))). 3.26/3.45 cnf(i_0_7451, 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))))). 3.26/3.45 cnf(i_0_6252, 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)))). 3.26/3.45 cnf(i_0_6425, 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)))). 3.26/3.45 cnf(i_0_1824, 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))). 3.26/3.45 cnf(i_0_3940, 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))). 3.26/3.45 cnf(i_0_7275, 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)). 3.26/3.45 cnf(i_0_2023, 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))). 3.26/3.45 cnf(i_0_5350, 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)))). 3.26/3.45 cnf(i_0_1312, 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))). 3.26/3.45 cnf(i_0_7380, plain, (c_Fun_Oinj__on(X1,tc_prod(X2,X1),esk519_4(X3,X4,X2,X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_HOL_Obool)),X4),X3)))). 3.26/3.45 cnf(i_0_4356, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(X1)),hAPP(c_Set_Oimage(X2,tc_Option_Ooption(X1),hAPP(c_Map_Omap__of(X2,X1),X3)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))))). 3.26/3.45 cnf(i_0_6458, 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)))))). 3.26/3.45 cnf(i_0_6274, 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)))). 3.26/3.45 cnf(i_0_5318, 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))). 3.26/3.45 cnf(i_0_5057, 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)))). 3.26/3.45 cnf(i_0_258, 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)))). 3.26/3.45 cnf(i_0_7236, 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)))). 3.26/3.45 cnf(i_0_1232, plain, (hAPP(c_Set_Ovimage(X1,X2,X3),X4)=hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3))). 3.26/3.45 cnf(i_0_479, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_COMBI(X1))=X2)). 3.26/3.45 cnf(i_0_1330, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1))=X2)). 3.26/3.45 cnf(i_0_4226, 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)))). 3.26/3.45 cnf(i_0_1794, 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)))). 3.26/3.45 cnf(i_0_957, 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)))). 3.26/3.45 cnf(i_0_3072, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Osplice(X1,X2,X3))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)))). 3.26/3.45 cnf(i_0_504, 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)))). 3.26/3.45 cnf(i_0_2634, 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)))). 3.26/3.45 cnf(i_0_1422, 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))). 3.26/3.45 cnf(i_0_431, 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))). 3.26/3.45 cnf(i_0_6180, 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))). 3.26/3.45 cnf(i_0_344, 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))). 3.26/3.45 cnf(i_0_3203, 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))). 3.26/3.45 cnf(i_0_2508, 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)))). 3.26/3.45 cnf(i_0_4758, 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)))). 3.26/3.45 cnf(i_0_3336, 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))). 3.26/3.45 cnf(i_0_6369, plain, (c_Map_Omap__add(X1,X2,hAPP(c_Map_Omap__of(X1,X2),X3),hAPP(c_Map_Omap__of(X1,X2),X4))=hAPP(c_Map_Omap__of(X1,X2),hAPP(hAPP(c_List_Oappend(tc_prod(X1,X2)),X4),X3)))). 3.26/3.45 cnf(i_0_3792, 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))). 3.26/3.45 cnf(i_0_3657, 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)))). 3.26/3.45 cnf(i_0_3364, 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)). 3.26/3.45 cnf(i_0_4850, 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)). 3.26/3.45 cnf(i_0_7404, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olistsp(X1,X2)),c_List_Olistsp(X1,X3))=c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 3.26/3.45 cnf(i_0_4869, plain, (c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(X1),hAPP(hAPP(c_Option_Omap(X2,X1),X3),X4),c_Lazy__Sequence_Ohb__map(X2,X1,X3,X5))=c_Lazy__Sequence_Ohb__map(X2,X1,X3,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(X2),X4,X5)))). 3.26/3.45 cnf(i_0_1456, 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)). 3.26/3.45 cnf(i_0_4161, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,X1,X2))). 3.26/3.45 cnf(i_0_3484, 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)))). 3.26/3.45 cnf(i_0_4783, 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)))). 3.26/3.45 cnf(i_0_2490, 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)))). 3.26/3.45 cnf(i_0_7333, 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)))). 3.26/3.45 cnf(i_0_1225, 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))). 3.26/3.45 cnf(i_0_6526, plain, (hAPP(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))). 3.26/3.45 cnf(i_0_2338, 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))))))). 3.26/3.45 cnf(i_0_2084, 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)))). 3.26/3.45 cnf(i_0_3477, 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))). 3.26/3.45 cnf(i_0_2891, 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)))). 3.26/3.45 cnf(i_0_5100, 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)))). 3.26/3.45 cnf(i_0_3777, 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)))). 3.26/3.45 cnf(i_0_7376, plain, (hAPP(c_Set_Oimage(tc_List_Olist(X1),tc_fun(X1,tc_HOL_Obool),c_List_Oset(X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),c_Enum_Osublists(X1,X2)))=hAPP(c_Set_OPow(X1),hAPP(c_List_Oset(X1),X2)))). 3.26/3.45 cnf(i_0_1829, 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))). 3.26/3.45 cnf(i_0_3083, 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))))). 3.26/3.45 cnf(i_0_6977, 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)))))). 3.26/3.45 cnf(i_0_5406, 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)))). 3.26/3.45 cnf(i_0_1825, 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)))). 3.26/3.45 cnf(i_0_4274, 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)))). 3.26/3.45 cnf(i_0_3275, 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)))). 3.26/3.45 cnf(i_0_7551, 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)))). 3.26/3.45 cnf(i_0_5147, 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)))). 3.26/3.45 cnf(i_0_6387, 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)))). 3.26/3.45 cnf(i_0_6056, 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))))). 3.26/3.45 cnf(i_0_1818, 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))). 3.26/3.45 cnf(i_0_3412, 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))). 3.26/3.45 cnf(i_0_6990, 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))). 3.26/3.45 cnf(i_0_5509, 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))). 3.26/3.45 cnf(i_0_1385, 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)))). 3.26/3.45 cnf(i_0_7111, 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))). 3.26/3.45 cnf(i_0_7161, 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)))). 3.26/3.45 cnf(i_0_4761, 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))). 3.26/3.45 cnf(i_0_2454, 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))). 3.26/3.45 cnf(i_0_6313, 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)))). 3.26/3.45 cnf(i_0_711, 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)). 3.26/3.45 cnf(i_0_975, 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)))). 3.26/3.45 cnf(i_0_6498, plain, (hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3))=X3)). 3.26/3.45 cnf(i_0_756, 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))). 3.26/3.45 cnf(i_0_6792, 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)))). 3.26/3.45 cnf(i_0_1165, 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)))). 3.26/3.45 cnf(i_0_4419, 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)))). 3.26/3.45 cnf(i_0_5136, 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)). 3.26/3.45 cnf(i_0_2195, 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))))). 3.26/3.45 cnf(i_0_1509, 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)),X3),X4))=c_List_Omaps(X2,X1,X3,X4))). 3.26/3.45 cnf(i_0_6451, 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))). 3.26/3.45 cnf(i_0_3040, 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)))). 3.26/3.45 cnf(i_0_6163, 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))). 3.26/3.45 cnf(i_0_273, plain, (c_List_Osplice(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))=hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),c_List_Osplice(X1,X3,X5))))). 3.26/3.45 cnf(i_0_4091, 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))). 3.26/3.45 cnf(i_0_1536, 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)))). 3.26/3.45 cnf(i_0_2691, 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)))). 3.26/3.45 cnf(i_0_6842, 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))). 3.26/3.45 cnf(i_0_5024, 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))). 3.26/3.45 cnf(i_0_6339, 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)))). 3.26/3.45 cnf(i_0_6730, 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))))). 3.26/3.45 cnf(i_0_7261, 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)))). 3.26/3.45 cnf(i_0_7474, 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))). 3.26/3.45 cnf(i_0_4755, 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)))). 3.26/3.45 cnf(i_0_5500, 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))). 3.26/3.45 cnf(i_0_3781, plain, (hAPP(c_Option_Ooption_Ooption__case(X1,tc_prod(X2,tc_Lazy__Sequence_Olazy__sequence(X2)),X3,hAPP(c_Product__Type_Oprod_Oprod__case(X2,tc_Lazy__Sequence_Olazy__sequence(X2),X1),X4)),hAPP(c_Lazy__Sequence_Oyield(X2),X5))=c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(X1,X2,X3,X4,X5))). 3.26/3.45 cnf(i_0_7388, plain, (hAPP(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))). 3.26/3.45 cnf(i_0_6280, 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)))))). 3.26/3.45 cnf(i_0_5517, 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))))). 3.26/3.45 cnf(i_0_6946, 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))))). 3.26/3.45 cnf(i_0_6122, plain, (c_Map_Odom(X1,X2,hAPP(c_Map_Omap__of(X1,X2),X3))=hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3)))). 3.26/3.45 cnf(i_0_6336, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Relation_ODomain(X1,X2),hAPP(c_List_Oset(tc_prod(X1,X2)),X3)))))). 3.26/3.45 cnf(i_0_3441, 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))). 3.26/3.45 cnf(i_0_2442, 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)))). 3.26/3.45 cnf(i_0_4882, 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)))). 3.26/3.45 cnf(i_0_1622, 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)))). 3.26/3.45 cnf(i_0_7048, 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))). 3.26/3.45 cnf(i_0_2376, 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)))). 3.26/3.45 cnf(i_0_6492, 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)))). 3.26/3.45 cnf(i_0_4195, 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)). 3.26/3.45 cnf(i_0_2126, hypothesis, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),v_F))). 3.26/3.45 cnf(i_0_5758, plain, (c_Map_Omap__add(X1,X2,X3,hAPP(c_Map_Omap__of(X1,X2),hAPP(c_List_Orev(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))=c_Map_Omap__upds(X1,X2,X3,X4,X5))). 3.26/3.45 cnf(i_0_1881, plain, (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),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2)))). 3.26/3.45 cnf(i_0_3281, 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)))). 3.26/3.45 cnf(i_0_1101, 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))). 3.26/3.45 cnf(i_0_1727, 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)))). 3.26/3.45 cnf(i_0_4831, 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)))). 3.26/3.45 cnf(i_0_224, 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)))). 3.26/3.45 cnf(i_0_3447, 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)))). 3.26/3.45 cnf(i_0_1413, 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)))). 3.26/3.45 cnf(i_0_7038, 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))). 3.26/3.45 cnf(i_0_1763, 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)))))). 3.26/3.45 cnf(i_0_5698, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),c_Predicate_Oconversep(X2,X1,X3)),c_Predicate_Oconversep(X2,X1,X4))=c_Predicate_Oconversep(X2,X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_fun(X1,tc_HOL_Obool))),X3),X4)))). 3.26/3.45 cnf(i_0_989, 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)))). 3.26/3.45 cnf(i_0_1211, 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)))). 3.26/3.45 cnf(i_0_7254, 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)))). 3.26/3.45 cnf(i_0_2848, 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)))). 3.26/3.45 cnf(i_0_3493, 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))). 3.26/3.45 cnf(i_0_4654, 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)))). 3.26/3.45 cnf(i_0_806, 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)))). 3.26/3.45 cnf(i_0_6929, 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)))). 3.26/3.45 cnf(i_0_1898, 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))))))). 3.26/3.45 cnf(i_0_6378, 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)))))). 3.26/3.45 cnf(i_0_1472, 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)))). 3.26/3.45 cnf(i_0_4701, 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)))). 3.26/3.45 cnf(i_0_6318, 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))). 3.26/3.45 cnf(i_0_2465, 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)). 3.26/3.45 cnf(i_0_2900, 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)))). 3.26/3.45 cnf(i_0_7007, plain, (c_Lazy__Sequence_Ohb__flat(X1,c_Lazy__Sequence_Ohb__map(X2,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1)),hAPP(hAPP(c_COMBC(X2,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1))),X3),X4),hAPP(X5,X4)))=hAPP(c_New__DSequence_Oneg__bind(X2,X1,X5,X3),X4))). 3.26/3.45 cnf(i_0_1641, 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)). 3.26/3.45 cnf(i_0_4719, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(c_List_Oset(X1),X3)),hAPP(c_COMBK(tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_List_Oset(X2),X4)))=hAPP(c_List_Oset(tc_prod(X1,X2)),c_Enum_Oproduct(X1,X2,X3,X4)))). 3.26/3.45 cnf(i_0_7002, 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),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(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 3.26/3.45 cnf(i_0_5231, 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))))). 3.26/3.45 cnf(i_0_7533, 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)))). 3.26/3.45 cnf(i_0_1936, 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))). 3.26/3.45 cnf(i_0_1897, 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))). 3.26/3.45 cnf(i_0_5615, 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)). 3.26/3.45 cnf(i_0_3021, 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))). 3.26/3.45 cnf(i_0_397, 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)))). 3.26/3.45 cnf(i_0_1777, 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)))). 3.26/3.45 cnf(i_0_1611, 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))). 3.26/3.45 cnf(i_0_911, 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))). 3.26/3.45 cnf(i_0_6304, 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)))). 3.26/3.45 cnf(i_0_4506, 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))). 3.26/3.45 cnf(i_0_3669, 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)))). 3.26/3.45 cnf(i_0_4378, 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)))). 3.26/3.45 cnf(i_0_6936, 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)))). 3.26/3.45 cnf(i_0_6512, 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))). 3.26/3.45 cnf(i_0_2081, 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)))). 3.26/3.45 cnf(i_0_6658, 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))). 3.26/3.45 cnf(i_0_2281, 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)))). 3.26/3.45 cnf(i_0_6951, plain, (c_Map_Omap__upds(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5)),X6,X7)=c_Map_Omap__upds(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X6),hAPP(hAPP(c_List_Olist_OCons(X2),X5),X7)))). 3.26/3.45 cnf(i_0_4823, 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))). 3.26/3.45 cnf(i_0_3900, 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))). 3.26/3.45 cnf(i_0_2548, 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)))). 3.26/3.45 cnf(i_0_4392, 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)))). 3.26/3.45 cnf(i_0_2886, 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))))). 3.26/3.45 cnf(i_0_5206, 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))))). 3.26/3.45 cnf(i_0_5042, 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))). 3.26/3.45 cnf(i_0_3638, 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))). 3.26/3.45 cnf(i_0_110, 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)))). 3.26/3.45 cnf(i_0_7334, 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))). 3.26/3.45 cnf(i_0_5775, plain, (hAPP(c_Relation_OImage(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olistrel(X1,X2)),hAPP(c_fequal,c_List_Olist_ONil(X1)))=hAPP(c_fequal,c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_4331, 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))). 3.26/3.45 cnf(i_0_4640, 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)))). 3.26/3.45 cnf(i_0_3577, plain, (hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),X1),X2)))=hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),X1),X2))). 3.26/3.45 cnf(i_0_4342, 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))))). 3.26/3.45 cnf(i_0_1651, 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)))). 3.26/3.45 cnf(i_0_1775, 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))). 3.26/3.45 cnf(i_0_500, plain, (hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2))),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2))),X3))). 3.26/3.45 cnf(i_0_3831, 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))). 3.26/3.45 cnf(i_0_907, 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),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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 3.26/3.45 cnf(i_0_1273, 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))). 3.26/3.45 cnf(i_0_5146, 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))). 3.26/3.45 cnf(i_0_4854, plain, (c_Lazy__Sequence_Oappend(tc_Option_Ooption(X1),hAPP(c_Option_Ooption_Ooption__case(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1)),tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1)),c_Lazy__Sequence_Ohit__bound(X1),c_COMBI(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1)))),X2),c_Lazy__Sequence_Ohb__flat(X1,X3))=c_Lazy__Sequence_Ohb__flat(X1,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1))),X2,X3)))). 3.26/3.45 cnf(i_0_5748, 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))). 3.26/3.45 cnf(i_0_5910, 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))). 3.26/3.45 cnf(i_0_884, 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)))). 3.26/3.45 cnf(i_0_4890, 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))). 3.26/3.45 cnf(i_0_3780, 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))). 3.26/3.45 cnf(i_0_1283, plain, (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)),X3)),X4))),c_Map_Odom(X1,X2,X5))=c_Map_Odom(X1,X2,c_Map_Omap__upds(X1,X2,X5,X4,X3)))). 3.26/3.45 cnf(i_0_3402, 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)). 3.26/3.45 cnf(i_0_1633, 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))). 3.26/3.45 cnf(i_0_3163, 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))). 3.26/3.45 cnf(i_0_3592, 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)))). 3.26/3.45 cnf(i_0_4738, 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)))). 3.26/3.45 cnf(i_0_3007, 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)))). 3.26/3.45 cnf(i_0_6079, 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)))). 3.26/3.45 cnf(i_0_3641, 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))). 3.26/3.45 cnf(i_0_2410, 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))). 3.26/3.45 cnf(i_0_3429, 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)). 3.26/3.45 cnf(i_0_518, plain, (hAPP(hAPP(c_List_Oappend(tc_prod(X1,X2)),hAPP(hAPP(c_List_Omap(X2,tc_prod(X1,X2)),hAPP(c_Product__Type_OPair(X1,X2),X3)),X4)),c_Enum_Oproduct(X1,X2,X5,X4))=c_Enum_Oproduct(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X5),X4))). 3.26/3.45 cnf(i_0_2486, 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))). 3.26/3.45 cnf(i_0_1007, 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))). 3.26/3.45 cnf(i_0_2471, 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))). 3.26/3.45 cnf(i_0_5124, plain, (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))=c_List_Omaps(tc_List_Olist(X1),X1,c_List_Ofilter(X1,X2),X3))). 3.26/3.45 cnf(i_0_4576, 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))). 3.26/3.45 cnf(i_0_5570, 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)))). 3.26/3.45 cnf(i_0_4472, 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)))). 3.26/3.45 cnf(i_0_6481, 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))). 3.26/3.45 cnf(i_0_4098, 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),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_Oplus__class_Oplus(tc_Int_Oint),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))))). 3.26/3.45 cnf(i_0_2973, 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)))). 3.26/3.45 cnf(i_0_3895, 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))))). 3.26/3.45 cnf(i_0_1282, 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)))). 3.26/3.45 cnf(i_0_1395, 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)))). 3.26/3.45 cnf(i_0_1389, 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)))). 3.26/3.45 cnf(i_0_1924, 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)))). 3.26/3.45 cnf(i_0_4912, 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)))). 3.26/3.45 cnf(i_0_6343, 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))). 3.26/3.45 cnf(i_0_6101, 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)))). 3.26/3.45 cnf(i_0_6628, 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))). 3.26/3.45 cnf(i_0_1931, 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))). 3.26/3.45 cnf(i_0_353, 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)))). 3.26/3.45 cnf(i_0_2440, 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)))). 3.26/3.45 cnf(i_0_658, 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)))). 3.26/3.45 cnf(i_0_4350, 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)))))). 3.26/3.45 cnf(i_0_4093, 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))). 3.26/3.45 cnf(i_0_7504, 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)))). 3.26/3.45 cnf(i_0_5228, 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))). 3.26/3.45 cnf(i_0_241, 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)))))). 3.26/3.45 cnf(i_0_7354, 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))). 3.26/3.45 cnf(i_0_2130, 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)))). 3.26/3.45 cnf(i_0_5800, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),hAPP(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)))=hAPP(c_Map_Omap__of(X1,X2),hAPP(hAPP(c_List_Olist_OCons(tc_prod(X1,X2)),X4),X3)))). 3.26/3.45 cnf(i_0_5595, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),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)))). 3.26/3.45 cnf(i_0_5536, 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)))). 3.26/3.45 cnf(i_0_3760, 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))). 3.26/3.45 cnf(i_0_3634, 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))). 3.26/3.45 cnf(i_0_4605, 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))). 3.26/3.45 cnf(i_0_2836, 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))). 3.26/3.45 cnf(i_0_1826, 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)))). 3.26/3.45 cnf(i_0_2728, 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)))). 3.26/3.45 cnf(i_0_89, 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)))). 3.26/3.45 cnf(i_0_5420, 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)))). 3.26/3.45 cnf(i_0_6980, 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))). 3.26/3.45 cnf(i_0_5776, 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)))). 3.26/3.45 cnf(i_0_2073, 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),esk148_1(X1)),esk149_1(X1)))))=X1)). 3.26/3.45 cnf(i_0_3112, 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)))). 3.26/3.45 cnf(i_0_2708, 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)))). 3.26/3.45 cnf(i_0_3997, 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))). 3.26/3.45 cnf(i_0_1352, 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))). 3.26/3.45 cnf(i_0_1916, 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))))). 3.26/3.45 cnf(i_0_783, 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))). 3.26/3.45 cnf(i_0_7112, 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)))). 3.26/3.45 cnf(i_0_1659, 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))). 3.26/3.45 cnf(i_0_4591, 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))). 3.26/3.45 cnf(i_0_6969, 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))). 3.26/3.45 cnf(i_0_7264, 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)))). 3.26/3.45 cnf(i_0_816, 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))). 3.26/3.45 cnf(i_0_1656, 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)). 3.26/3.45 cnf(i_0_1105, 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))). 3.26/3.45 cnf(i_0_4682, 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)))))). 3.26/3.45 cnf(i_0_4988, 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))). 3.26/3.45 cnf(i_0_2160, 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))). 3.26/3.45 cnf(i_0_7335, 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))). 3.26/3.45 cnf(i_0_4142, 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)))). 3.26/3.45 cnf(i_0_5616, 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)))). 3.26/3.45 cnf(i_0_2962, 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)))). 3.26/3.45 cnf(i_0_1734, 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)))). 3.26/3.45 cnf(i_0_4911, 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)))). 3.26/3.45 cnf(i_0_2142, 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))). 3.26/3.45 cnf(i_0_3465, 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)))))). 3.26/3.45 cnf(i_0_7531, 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))))). 3.26/3.45 cnf(i_0_2844, 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))). 3.26/3.45 cnf(i_0_6985, 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)))))). 3.26/3.45 cnf(i_0_2151, 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)))))). 3.26/3.45 cnf(i_0_1495, 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)))))). 3.26/3.45 cnf(i_0_3705, 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)))))). 3.26/3.45 cnf(i_0_2257, 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)))))). 3.26/3.45 cnf(i_0_7381, 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),esk519_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))))). 3.26/3.45 cnf(i_0_1214, 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)))). 3.26/3.45 cnf(i_0_6026, hypothesis, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))))))). 3.26/3.45 cnf(i_0_2106, 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)))). 3.26/3.45 cnf(i_0_3344, 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))). 3.26/3.45 cnf(i_0_305, 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))). 3.26/3.45 cnf(i_0_6155, 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))). 3.26/3.45 cnf(i_0_3214, 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))))))). 3.26/3.45 cnf(i_0_283, 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)))))). 3.26/3.45 cnf(i_0_2235, 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)))))). 3.26/3.45 cnf(i_0_5675, 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)))). 3.26/3.45 cnf(i_0_4284, 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)))))). 3.26/3.45 cnf(i_0_5798, 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))). 3.26/3.45 cnf(i_0_2247, 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)))). 3.26/3.45 cnf(i_0_4454, 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)))))). 3.26/3.45 cnf(i_0_6783, 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)))))). 3.26/3.45 cnf(i_0_7166, 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)))). 3.26/3.45 cnf(i_0_7401, 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),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),c_Groups_Oone__class_Oone(tc_Int_Oint)),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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 3.26/3.45 cnf(i_0_482, 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)). 3.26/3.45 cnf(i_0_381, 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))). 3.26/3.45 cnf(i_0_2540, 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)))). 3.26/3.45 cnf(i_0_5501, 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)))). 3.26/3.45 cnf(i_0_2853, 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))). 3.26/3.45 cnf(i_0_207, plain, (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),c_Set_OCollect(X2)),hAPP(c_COMBC(X2,X1,tc_HOL_Obool),X3)))=hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,X2),c_HOL_OAll(X1)),X3))). 3.26/3.45 cnf(i_0_5951, 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))). 3.26/3.45 cnf(i_0_1175, 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))). 3.26/3.45 cnf(i_0_111, 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))). 3.26/3.45 cnf(i_0_2785, 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)))). 3.26/3.45 cnf(i_0_4285, 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))). 3.26/3.45 cnf(i_0_867, 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))). 3.26/3.45 cnf(i_0_1528, 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))). 3.26/3.45 cnf(i_0_2579, 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)))). 3.26/3.45 cnf(i_0_6867, 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))). 3.26/3.45 cnf(i_0_7134, 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)))). 3.26/3.45 cnf(i_0_1743, 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))). 3.26/3.45 cnf(i_0_2676, 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))). 3.26/3.45 cnf(i_0_6795, 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))))))). 3.26/3.45 cnf(i_0_3446, 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))). 3.26/3.45 cnf(i_0_132, 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)))). 3.26/3.45 cnf(i_0_4980, 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)))). 3.26/3.45 cnf(i_0_1929, 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)))). 3.26/3.45 cnf(i_0_3368, 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))). 3.26/3.45 cnf(i_0_7212, 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)))). 3.26/3.45 cnf(i_0_5950, 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)))))). 3.26/3.45 cnf(i_0_1024, 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)))). 3.26/3.45 cnf(i_0_6220, 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))). 3.26/3.45 cnf(i_0_5539, plain, (c_List_Omaps(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X2),tc_List_Olist(X2)),hAPP(hAPP(c_COMBB(X2,tc_fun(tc_List_Olist(X2),tc_List_Olist(X2)),X1),c_List_Olist_OCons(X2)),X3)),c_List_Olist_ONil(X2)),X4)=hAPP(hAPP(c_List_Omap(X1,X2),X3),X4))). 3.26/3.45 cnf(i_0_4548, 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))). 3.26/3.45 cnf(i_0_923, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(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)))). 3.26/3.45 cnf(i_0_3181, 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(c_fequal,X4)))=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))))). 3.26/3.45 cnf(i_0_3541, 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))). 3.26/3.45 cnf(i_0_6756, 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))). 3.26/3.45 cnf(i_0_6544, 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)))). 3.26/3.45 cnf(i_0_4121, 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)))). 3.26/3.45 cnf(i_0_2116, 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)))))). 3.26/3.45 cnf(i_0_1850, 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))). 3.26/3.45 cnf(i_0_5455, 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))). 3.26/3.45 cnf(i_0_5815, 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))). 3.26/3.45 cnf(i_0_438, 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))). 3.26/3.45 cnf(i_0_2810, 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))). 3.26/3.45 cnf(i_0_7443, 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)))). 3.26/3.45 cnf(i_0_633, 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))). 3.26/3.45 cnf(i_0_1072, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 3.26/3.45 cnf(i_0_447, 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)))))). 3.26/3.45 cnf(i_0_6137, 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))). 3.26/3.45 cnf(i_0_1944, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))). 3.26/3.45 cnf(i_0_2513, 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))). 3.26/3.45 cnf(i_0_112, 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)))))). 3.26/3.45 cnf(i_0_3389, 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))))))). 3.26/3.45 cnf(i_0_742, 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(c_fequal,c_List_Olist_ONil(X1)))),X2))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),c_List_Otranspose(X1,c_List_Otranspose(X1,X2))))). 3.26/3.45 cnf(i_0_2660, 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))). 3.26/3.45 cnf(i_0_5266, plain, (c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat),X1),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(X1)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)=hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(X1)),X2))). 3.26/3.45 cnf(i_0_6782, 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)))). 3.26/3.45 cnf(i_0_3346, 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))). 3.26/3.45 cnf(i_0_1362, 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))). 3.26/3.45 cnf(i_0_857, 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))). 3.26/3.45 cnf(i_0_1135, 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))). 3.26/3.45 cnf(i_0_4702, 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))))). 3.26/3.45 cnf(i_0_2595, plain, (hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),X1),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(tc_fun(X1,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(X1,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),X1),c_List_Omap(tc_fun(X1,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(X1,tc_Nat_Onat),X1,tc_Nat_Onat),c_COMBI(tc_fun(X1,tc_Nat_Onat))))),X2))=c_List_Omeasures(X1,X2))). 3.26/3.45 cnf(i_0_6241, 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))))). 3.26/3.45 cnf(i_0_6216, 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))). 3.26/3.45 cnf(i_0_1309, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olists(X1,X2)),c_List_Olists(X1,X3))=c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 3.26/3.45 cnf(i_0_2231, 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)))). 3.26/3.45 cnf(i_0_5473, 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))). 3.26/3.45 cnf(i_0_6486, 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))). 3.26/3.45 cnf(i_0_2491, 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))). 3.26/3.45 cnf(i_0_5250, 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))). 3.26/3.45 cnf(i_0_278, 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))). 3.26/3.45 cnf(i_0_3912, plain, (hAPP(c_Lazy__Sequence_Obind(X1,tc_prod(X1,X2),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_Lazy__Sequence_Olazy__sequence(tc_prod(X1,X2))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(X1,X2)),X1),c_Lazy__Sequence_Obind(X2,tc_prod(X1,X2),X4)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_Lazy__Sequence_Olazy__sequence(tc_prod(X1,X2))),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_Lazy__Sequence_Olazy__sequence(tc_prod(X1,X2)),X2),c_Lazy__Sequence_Osingle(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2))))=c_Lazy__Sequence_Oproduct(X1,X2,X3,X4))). 3.26/3.45 cnf(i_0_4981, 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))). 3.26/3.45 cnf(i_0_3871, 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)))). 3.26/3.45 cnf(i_0_7390, 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)))). 3.26/3.45 cnf(i_0_3970, 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))). 3.26/3.45 cnf(i_0_6683, 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))). 3.26/3.45 cnf(i_0_3943, 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))). 3.26/3.45 cnf(i_0_7520, plain, (hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1))),c_Enum_Osublists(X1,X2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(X1)),tc_fun(tc_List_Olist(tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1))),tc_List_Olist(tc_List_Olist(X1))),c_List_Oappend(tc_List_Olist(X1))),hAPP(c_List_Omap(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(c_List_Olist_OCons(X1),X3)))),c_COMBI(tc_List_Olist(tc_List_Olist(X1)))))=c_Enum_Osublists(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2)))). 3.26/3.45 cnf(i_0_1156, 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))). 3.26/3.45 cnf(i_0_1695, 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)))). 3.26/3.45 cnf(i_0_7135, 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))). 3.26/3.45 cnf(i_0_4139, 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)))). 3.26/3.45 cnf(i_0_4486, 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)))). 3.26/3.45 cnf(i_0_3998, 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))). 3.26/3.45 cnf(i_0_4153, 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))))). 3.26/3.45 cnf(i_0_733, 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)))). 3.26/3.45 cnf(i_0_5696, plain, (hAPP(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)),hAPP(c_Map_Omap__of(X1,X3),X5)))). 3.26/3.45 cnf(i_0_4922, 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))). 3.26/3.45 cnf(i_0_6284, 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)))). 3.26/3.45 cnf(i_0_1684, 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))). 3.26/3.45 cnf(i_0_1325, plain, (c_List_Omaps(tc_List_Olist(X1),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(c_fequal,c_List_Olist_ONil(X1)))),X2)))). 3.26/3.45 cnf(i_0_303, plain, (c_List_Omaps(tc_List_Olist(X1),tc_List_Olist(X1),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(X1),tc_List_Olist(tc_List_Olist(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_List_Olist(tc_List_Olist(X1))),tc_List_Olist(X1)),c_List_Omap(X1,tc_List_Olist(X1))),hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)))),X2),c_Enum_On__lists(X1,X3,X2))=c_Enum_On__lists(X1,hAPP(c_Nat_OSuc,X3),X2))). 3.26/3.45 cnf(i_0_78, 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)))). 3.26/3.45 cnf(i_0_4022, 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)))). 3.26/3.45 cnf(i_0_215, 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)))). 3.26/3.45 cnf(i_0_2849, 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)). 3.26/3.45 cnf(i_0_3372, 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)). 3.26/3.45 cnf(i_0_6947, 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))))). 3.26/3.45 cnf(i_0_1518, 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))). 3.26/3.45 cnf(i_0_4977, 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))))))). 3.26/3.45 cnf(i_0_1253, plain, (c_List_Omaps(tc_List_Olist(X1),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(c_fequal,c_List_Olist_ONil(X1)))),X2)))). 3.26/3.45 cnf(i_0_2890, 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)))). 3.26/3.45 cnf(i_0_7530, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),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)))),X2)),c_List_Olists(X1,hAPP(c_List_Oset(X1),X3)))=hAPP(c_List_Oset(tc_List_Olist(X1)),c_Enum_On__lists(X1,X2,X3)))). 3.26/3.45 cnf(i_0_2144, 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))))). 3.26/3.45 cnf(i_0_4320, 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)))). 3.26/3.45 cnf(i_0_2625, 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)). 3.26/3.45 cnf(i_0_5760, 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))))). 3.26/3.45 cnf(i_0_1336, 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))). 3.26/3.45 cnf(i_0_5670, 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))). 3.26/3.45 cnf(i_0_1740, 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))). 3.26/3.45 cnf(i_0_6648, 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)))). 3.26/3.45 cnf(i_0_7198, 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))). 3.26/3.45 cnf(i_0_2845, 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))). 3.26/3.45 cnf(i_0_6332, 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))). 3.26/3.45 cnf(i_0_1365, 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)))). 3.26/3.45 cnf(i_0_938, 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)))). 3.26/3.45 cnf(i_0_6611, 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))). 3.26/3.45 cnf(i_0_1321, 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(c_fequal,c_List_Olist_ONil(X3)))),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))))). 3.26/3.45 cnf(i_0_6062, 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))))). 3.26/3.45 cnf(i_0_5098, 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)))). 3.26/3.45 cnf(i_0_5464, plain, (c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBC(X1,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat)),X1),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),X1),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(X1),tc_Nat_Onat)),X1),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(X1))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(X1,X2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)=hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(X1,X2),X3))). 3.26/3.45 cnf(i_0_328, 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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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)))). 3.26/3.45 cnf(i_0_3129, 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(c_fequal,c_List_Olist_ONil(X1)))),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(c_fequal,c_List_Olist_ONil(X1)))),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)))). 3.26/3.45 cnf(i_0_7168, 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))). 3.26/3.45 cnf(i_0_6360, 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)))). 3.26/3.45 cnf(i_0_5832, 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))). 3.26/3.45 cnf(i_0_3715, 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)))). 3.26/3.45 cnf(i_0_1834, 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))). 3.26/3.45 cnf(i_0_1710, 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))). 3.26/3.45 cnf(i_0_2407, 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,hAPP(c_Map_Omap__of(X1,X2),X4)))). 3.26/3.45 cnf(i_0_318, 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__upds(X1,X2,X3,X4,X5))). 3.26/3.45 cnf(i_0_1441, 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)))). 3.26/3.45 cnf(i_0_3877, 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)))). 3.26/3.45 cnf(i_0_1241, 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))). 3.26/3.45 cnf(i_0_6739, 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)))). 3.26/3.45 cnf(i_0_5069, 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))). 3.26/3.45 cnf(i_0_3478, 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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))))=c_Divides_Oadjust(X1))). 3.26/3.45 cnf(i_0_876, 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))). 3.26/3.45 cnf(i_0_4724, 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))). 3.26/3.45 cnf(i_0_7237, 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))). 3.26/3.45 cnf(i_0_1774, plain, (hAPP(hAPP(c_Nat_Ocompow(X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)=c_Fun_Oid(X1))). 3.26/3.45 cnf(i_0_795, 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))). 3.26/3.45 cnf(i_0_1707, 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))). 3.26/3.45 cnf(i_0_2718, 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))). 3.26/3.45 cnf(i_0_5903, 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))). 3.26/3.45 cnf(i_0_3439, 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)))). 3.26/3.45 cnf(i_0_3440, plain, (c_Enum_Osublists(X1,c_List_Olist_ONil(X1))=hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(tc_List_Olist(X1))))). 3.26/3.45 cnf(i_0_2271, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=hAPP(c_fequal,X2))). 3.26/3.45 cnf(i_0_2093, plain, (c_Lazy__Sequence_Oappend(X1,hAPP(X2,X3),hAPP(X4,X3))=hAPP(c_New__DSequence_Opos__union(X1,X2,X4),X3))). 3.26/3.45 cnf(i_0_4573, plain, (c_List_Oremove1(X1,X2,c_List_Oremove1(X1,X3,X4))=c_List_Oremove1(X1,X3,c_List_Oremove1(X1,X2,X4)))). 3.26/3.45 cnf(i_0_723, plain, (hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(tc_List_Olist(X1)))=c_Enum_On__lists(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))). 3.26/3.45 cnf(i_0_3604, plain, (hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X1,X2)),c_Product__Type_OPair(X1,X2))=c_Fun_Oid(tc_prod(X1,X2)))). 3.26/3.45 cnf(i_0_6460, 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)))). 3.26/3.45 cnf(i_0_5366, plain, (hAPP(c_List_Orev(X1),hAPP(c_List_Ofilter(X1,X2),X3))=hAPP(c_List_Ofilter(X1,X2),hAPP(c_List_Orev(X1),X3)))). 3.26/3.45 cnf(i_0_6070, 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)))). 3.26/3.45 cnf(i_0_326, 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))). 3.26/3.45 cnf(i_0_4479, 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))). 3.26/3.45 cnf(i_0_1179, plain, (hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6)))). 3.26/3.45 cnf(i_0_3778, plain, (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_Opartition(X1,X2,c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_4220, 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))). 3.26/3.45 cnf(i_0_5328, 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)))). 3.26/3.45 cnf(i_0_202, 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)))). 3.26/3.45 cnf(i_0_5605, 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_Odivmod__int(X1,X2))). 3.26/3.45 cnf(i_0_4298, 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)))). 3.26/3.45 cnf(i_0_2665, 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)))). 3.26/3.45 cnf(i_0_3042, plain, (hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))=hAPP(c_Set_Oimage(X2,X1,X3),hAPP(c_List_Oset(X2),X4)))). 3.26/3.45 cnf(i_0_5240, 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)))). 3.26/3.45 cnf(i_0_6063, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))). 3.26/3.45 cnf(i_0_7235, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(c_List_Otl(X1),X4))=hAPP(c_List_Otl(X2),hAPP(hAPP(c_List_Omap(X1,X2),X3),X4)))). 3.26/3.45 cnf(i_0_5994, 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)))). 3.26/3.45 cnf(i_0_4540, 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))). 3.26/3.45 cnf(i_0_3584, 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))))). 3.26/3.45 cnf(i_0_5286, plain, (hAPP(hAPP(c_Lazy__Sequence_Oanamorph(X1,X2,X3),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),X4)=hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),X1),c_List_Olist_ONil(X2)),X4))). 3.26/3.45 cnf(i_0_6714, 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)))). 3.26/3.45 cnf(i_0_5584, 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)))). 3.26/3.45 cnf(i_0_7156, 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)))). 3.26/3.45 cnf(i_0_2184, 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)))))). 3.26/3.45 cnf(i_0_4517, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(X1,X2))=c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(X3,X1,X2)))). 3.26/3.45 cnf(i_0_7152, 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)))). 3.26/3.45 cnf(i_0_5721, 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))). 3.26/3.45 cnf(i_0_808, plain, (hAPP(hAPP(c_Relation_Oinv__image(X1,X2),hAPP(c_Relation_Oconverse(X1,X1),X3)),X4)=hAPP(c_Relation_Oconverse(X2,X2),hAPP(hAPP(c_Relation_Oinv__image(X1,X2),X3),X4)))). 3.26/3.45 cnf(i_0_3945, 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))). 3.26/3.45 cnf(i_0_2874, plain, (hAPP(hAPP(c_List_Oappend(X1),hAPP(X2,X3)),c_List_Omaps(X4,X1,X2,X5))=c_List_Omaps(X4,X1,X2,hAPP(hAPP(c_List_Olist_OCons(X4),X3),X5)))). 3.26/3.45 cnf(i_0_6680, plain, (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))=c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(X1,X2)))). 3.26/3.45 cnf(i_0_6869, plain, (hAPP(hAPP(c_List_Otake(X1),X2),hAPP(hAPP(c_List_Omap(X3,X1),X4),X5))=hAPP(hAPP(c_List_Omap(X3,X1),X4),hAPP(hAPP(c_List_Otake(X3),X2),X5)))). 3.26/3.45 cnf(i_0_4670, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(hAPP(c_List_Odrop(X1),X4),X5))=hAPP(hAPP(c_List_Odrop(X2),X4),hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))). 3.26/3.45 cnf(i_0_6716, 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)))). 3.26/3.45 cnf(i_0_6075, 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))). 3.26/3.45 cnf(i_0_4311, 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)))). 3.26/3.45 cnf(i_0_4812, plain, (hAPP(c_Set_OPow(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=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))))). 3.26/3.45 cnf(i_0_1790, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X1,X5),X6))=hAPP(c_Set_Oimage(X4,X2,hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6))). 3.26/3.45 cnf(i_0_4688, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),hAPP(hAPP(c_COMBB(X3,tc_HOL_Obool,X1),X4),X5)),X6)=hAPP(hAPP(c_COMBB(X3,tc_HOL_Obool,X2),X4),hAPP(c_Fun_Ocomp(X1,X3,X2,X5),X6)))). 3.26/3.45 cnf(i_0_4248, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),hAPP(X2,X3)),hAPP(hAPP(c_List_Omap(X4,X1),X2),X5))=hAPP(hAPP(c_List_Omap(X4,X1),X2),hAPP(hAPP(c_List_Olist_OCons(X4),X3),X5)))). 3.26/3.45 cnf(i_0_88, 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))). 3.26/3.45 cnf(i_0_4562, 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)))). 3.26/3.45 cnf(i_0_2607, 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)))). 3.26/3.45 cnf(i_0_2293, 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)))). 3.26/3.45 cnf(i_0_4088, 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)))). 3.26/3.45 cnf(i_0_1853, 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)))). 3.26/3.45 cnf(i_0_2487, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(hAPP(c_List_Omap(X4,X1),X5),X6))=hAPP(hAPP(c_List_Omap(X4,X2),hAPP(c_Fun_Ocomp(X1,X2,X4,X3),X5)),X6))). 3.26/3.45 cnf(i_0_2707, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Complete__Lattice_OInf__class_OInf(tc_fun(X1,tc_HOL_Obool),X3))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2)))). 3.26/3.45 cnf(i_0_4044, 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)))). 3.26/3.45 cnf(i_0_408, plain, (hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(X1,X2,X3))=hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(X2,X3)))). 3.26/3.45 cnf(i_0_221, 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)))). 3.26/3.45 cnf(i_0_2302, 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)))). 3.26/3.45 cnf(i_0_2193, 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)))). 3.26/3.45 cnf(i_0_3452, 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)))). 3.26/3.45 cnf(i_0_7383, plain, (hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(X1,X2),c_Lazy__Sequence_Olazy__sequence_OInsert(X1,X3,X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(X2,X3)),hAPP(c_Nat_OSuc,hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(X1,X2),X4))))). 3.26/3.45 cnf(i_0_1368, 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)))). 3.26/3.45 cnf(i_0_5685, 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)))). 3.26/3.45 cnf(i_0_6649, plain, (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))=hAPP(c_Relation_ORange(X1,X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3)))). 3.26/3.45 cnf(i_0_5415, plain, (hAPP(hAPP(c_List_Ozip(X1,X1),X2),X2)=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))). 3.26/3.45 cnf(i_0_2083, 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)))). 3.26/3.45 cnf(i_0_5050, 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)))). 3.26/3.45 cnf(i_0_7444, 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))))))). 3.26/3.45 cnf(i_0_6989, plain, (hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X3),X4),hAPP(hAPP(c_Relation_Orel__comp(X2,X5,X3),X6),X7))=hAPP(hAPP(c_Relation_Orel__comp(X1,X5,X3),hAPP(hAPP(c_Relation_Orel__comp(X1,X2,X5),X4),X6)),X7))). 3.26/3.45 cnf(i_0_3490, 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)))). 3.26/3.45 cnf(i_0_2346, 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)))). 3.26/3.45 cnf(i_0_7121, 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))))). 3.26/3.45 cnf(i_0_2952, 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)))). 3.26/3.45 cnf(i_0_2347, plain, (hAPP(hAPP(X1,hAPP(X2,hAPP(c_Product__Type_Ofst(X3,X4),X5))),hAPP(c_Product__Type_Osnd(X3,X4),X5))=hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,X6),hAPP(c_Fun_Ocomp(X7,tc_fun(X4,X6),X3,X1),X2)),X5))). 3.26/3.45 cnf(i_0_7492, 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)),hAPP(hAPP(c_Set_Oinsert(X4),X3),X5)),X2))). 3.26/3.45 cnf(i_0_2013, 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)),hAPP(hAPP(c_Set_Oinsert(X4),X3),X5)),X2))). 3.26/3.45 cnf(i_0_2683, plain, (c_SetInterval_Oord__class_OatLeastAtMost(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)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,X1,X3)))). 3.26/3.45 cnf(i_0_5224, 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)))). 3.26/3.45 cnf(i_0_15, 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(c_Fun_Ocomp(X1,tc_fun(X2,tc_HOL_Obool),X3,X6),X4)))). 3.26/3.45 cnf(i_0_6744, 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)))). 3.26/3.45 cnf(i_0_6547, plain, (c_Map_Odom(X1,X2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),c_Option_Ooption_ONone(X2)))=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)))))). 3.26/3.45 cnf(i_0_3812, 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)))). 3.26/3.45 cnf(i_0_722, 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)))). 3.26/3.45 cnf(i_0_308, 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)))). 3.26/3.45 cnf(i_0_334, 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))))). 3.26/3.45 cnf(i_0_1494, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(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),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 3.26/3.45 cnf(i_0_6096, 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)))). 3.26/3.45 cnf(i_0_6382, plain, (hAPP(c_Product__Type_Omap__pair(X1,X1,X2,X3,c_Fun_Oid(X1),hAPP(c_Fun_Ocomp(X4,X3,X2,X5),X6)),X7)=hAPP(c_Product__Type_Omap__pair(X1,X1,X4,X3,c_Fun_Oid(X1),X5),hAPP(c_Product__Type_Omap__pair(X1,X1,X2,X4,c_Fun_Oid(X1),X6),X7)))). 3.26/3.45 cnf(i_0_1198, plain, (hAPP(c_Product__Type_Omap__pair(X1,X2,X3,X3,X4,c_Fun_Oid(X3)),hAPP(c_Product__Type_Omap__pair(X5,X1,X3,X3,X6,c_Fun_Oid(X3)),X7))=hAPP(c_Product__Type_Omap__pair(X5,X2,X3,X3,hAPP(c_Fun_Ocomp(X1,X2,X5,X4),X6),c_Fun_Oid(X3)),X7))). 3.26/3.45 cnf(i_0_4910, plain, (c_List_Oset__Cons(X1,X2,hAPP(c_fequal,c_List_Olist_ONil(X1)))=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))). 3.26/3.45 cnf(i_0_5177, 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))))). 3.26/3.45 cnf(i_0_6972, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1))). 3.26/3.45 cnf(i_0_6529, 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))). 3.26/3.45 cnf(i_0_6142, 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))=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_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.45 cnf(i_0_1256, 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)))). 3.26/3.45 cnf(i_0_3747, plain, (hAPP(hAPP(c_List_Ozip(X1,X2),hAPP(hAPP(c_List_Olist__update(X1,X3),X4),X5)),hAPP(hAPP(c_List_Olist__update(X2,X6),X4),X7))=hAPP(hAPP(c_List_Olist__update(tc_prod(X1,X2),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X6)),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X7)))). 3.26/3.45 cnf(i_0_3670, 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(X4,X1,X2,X2,X3,c_Fun_Oid(X2)),hAPP(c_Product__Type_Omap__pair(X4,X4,X5,X2,c_Fun_Oid(X4),X7),X6)))). 3.26/3.45 cnf(i_0_5393, 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)))). 3.26/3.45 cnf(i_0_674, plain, (hAPP(hAPP(X1,X2),hAPP(c_List_Ofoldl(X3,X4,hAPP(c_COMBC(X4,X3,X3),X1),X5),hAPP(c_List_Orev(X4),X6)))=hAPP(c_List_Ofoldl(X3,X4,hAPP(c_COMBC(X4,X3,X3),X1),X5),hAPP(c_List_Orev(X4),hAPP(hAPP(c_List_Olist_OCons(X4),X2),X6))))). 3.26/3.45 cnf(i_0_21, plain, (c_List_Omaps(tc_List_Olist(X1),X2,hAPP(c_List_Omap(X1,X2),X3),X4)=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)))). 3.26/3.45 cnf(i_0_1765, plain, (hAPP(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)))). 3.26/3.45 cnf(i_0_2954, 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(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),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),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))). 3.26/3.45 cnf(i_0_2768, 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))))). 3.26/3.45 cnf(i_0_769, 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))). 3.26/3.45 cnf(i_0_4222, 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)))))). 3.26/3.45 cnf(i_0_7396, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,hAPP(c_Fun_Ocomp(X2,tc_HOL_Obool,X1,X4),X3),X5))),X5))=hAPP(hAPP(c_List_Odrop(X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),c_List_OtakeWhile(X2,X4,hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))),hAPP(hAPP(c_List_Omap(X1,X2),X3),X5)))). 3.26/3.45 cnf(i_0_7256, 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))))). 3.26/3.45 cnf(i_0_4045, 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))))). 3.26/3.45 cnf(i_0_4800, 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)))). 3.26/3.45 cnf(i_0_1827, plain, (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))),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)))). 3.26/3.45 cnf(i_0_702, 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)))))). 3.26/3.45 cnf(i_0_3292, 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),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__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5)))). 3.26/3.45 cnf(i_0_2772, 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)))). 3.26/3.45 cnf(i_0_7063, 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__sup__class_Osup(tc_fun(X2,tc_HOL_Obool))),X4)),X5))=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)))). 3.26/3.45 cnf(i_0_1947, 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)),X3),X5))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(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__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool))),X4)),X5)))). 3.26/3.45 cnf(i_0_2074, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(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__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)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_HOL_Obool)),X3),X5)))). 3.26/3.45 cnf(i_0_7000, plain, (hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X3,X4),X5),hAPP(hAPP(c_COMBC(X2,tc_fun(X6,tc_fun(X7,X4)),tc_fun(X3,X4)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X6,X7)),tc_fun(tc_fun(X6,tc_fun(X7,X4)),tc_fun(X3,X4)),X2),c_Product__Type_Oscomp(X3,X6,X7,X4)),X8)),X9))=hAPP(hAPP(c_Product__Type_Oscomp(X1,X6,X7,X4),hAPP(hAPP(c_Product__Type_Oscomp(X1,X2,X3,tc_prod(X6,X7)),X5),X8)),X9))). 3.26/3.45 cnf(i_0_1350, 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)))))). 3.26/3.45 cnf(i_0_5816, 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))). 3.26/3.45 cnf(i_0_3767, 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))))). 3.26/3.45 cnf(i_0_2510, 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))). 3.26/3.45 cnf(i_0_157, 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)))). 3.26/3.45 cnf(i_0_1792, plain, (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))),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)))))). 3.26/3.45 cnf(i_0_3456, plain, (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),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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),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),X2),X3)))))))). 3.26/3.45 cnf(i_0_2107, plain, (hAPP(hAPP(c_Product__Type_OSigma(X1,X2),hAPP(c_Set_Oimage(X3,X1,X4),X5)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool),X1),c_Set_Oimage(X3,X2,X6)),hAPP(hAPP(c_COMBC(X1,tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X1),c_Set_Ovimage(X3,X1,X4)),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)))))),X5)))=hAPP(c_Set_Oimage(X3,tc_prod(X1,X2),hAPP(hAPP(c_COMBS(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)),X6)),X5))). 3.26/3.45 cnf(i_0_7555, 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,X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))))))=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))),X4))),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)))))))). 3.26/3.45 cnf(i_0_434, 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))))))). 3.26/3.45 cnf(i_0_2354, negated_conjecture, (~hBOOL(hAPP(c_Com_OWT,v_y)))). 3.26/3.45 cnf(i_0_5519, plain, (~hBOOL(c_fFalse))). 3.26/3.45 cnf(i_0_5271, plain, (c_Groups_Oone__class_Oone(tc_Int_Oint)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_743, plain, (hAPP(c_Nat_OSuc,X1)!=X1)). 3.26/3.45 cnf(i_0_772, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(X1,X2))). 3.26/3.45 cnf(i_0_1950, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(X1,X2))). 3.26/3.45 cnf(i_0_3132, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OSKIP)). 3.26/3.45 cnf(i_0_287, plain, (~c_List_Olist__ex(X1,X2,c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_6135, plain, (c_Com_Ocom_OSKIP!=hAPP(c_Com_Ocom_OBODY,X1))). 3.26/3.45 cnf(i_0_3118, plain, (~hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))))). 3.26/3.45 cnf(i_0_2860, plain, (~hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.45 cnf(i_0_4712, plain, (~c_List_Olist__ex1(X1,X2,c_List_Olist_ONil(X1)))). 3.26/3.45 cnf(i_0_1201, plain, (hAPP(c_Nat_OSuc,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1899, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(X1,X2,X3))). 3.26/3.45 cnf(i_0_1258, plain, (~c_Option_Ois__none(X1,hAPP(c_Option_Ooption_OSome(X1),X2)))). 3.26/3.45 cnf(i_0_7343, 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))))). 3.26/3.45 cnf(i_0_135, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))). 3.26/3.45 cnf(i_0_3345, plain, (~hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))))). 3.26/3.45 cnf(i_0_2664, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X1)))). 3.26/3.45 cnf(i_0_1393, plain, (c_Option_Ooption_ONone(X1)!=hAPP(c_Option_Ooption_OSome(X1),X2))). 3.26/3.45 cnf(i_0_2724, plain, (c_Com_Ocom_OWhile(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))). 3.26/3.45 cnf(i_0_5041, plain, (c_Com_Ocom_OSemi(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))). 3.26/3.45 cnf(i_0_3664, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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)))))). 3.26/3.45 cnf(i_0_4110, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)!=X3)). 3.26/3.45 cnf(i_0_3017, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))). 3.26/3.45 cnf(i_0_1878, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))). 3.26/3.45 cnf(i_0_118, 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))). 3.26/3.45 cnf(i_0_4696, 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)))). 3.26/3.45 cnf(i_0_7167, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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))))). 3.26/3.45 cnf(i_0_4444, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))). 3.26/3.45 cnf(i_0_888, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 3.26/3.45 cnf(i_0_16, 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)))))). 3.26/3.45 cnf(i_0_597, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSemi(X4,X5))). 3.26/3.45 cnf(i_0_3505, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_6690, 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)))))). 3.26/3.45 cnf(i_0_2113, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OLocal(X2,X3,X4))). 3.26/3.45 cnf(i_0_2799, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OCond(X2,X3,X4))). 3.26/3.45 cnf(i_0_4842, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)!=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_5064, hypothesis, (~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),v_F)))). 3.26/3.45 cnf(i_0_2743, 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))). 3.26/3.45 cnf(i_0_4312, 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)))))). 3.26/3.45 cnf(i_0_3453, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))). 3.26/3.45 cnf(i_0_4193, plain, (hAPP(c_Set_OPow(X1),X2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_2411, plain, (~c_Wellfounded_Omax__extp(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 3.26/3.45 cnf(i_0_2566, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X1)))). 3.26/3.45 cnf(i_0_4326, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_1353, plain, (~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))). 3.26/3.45 cnf(i_0_3247, plain, (~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))))). 3.26/3.45 cnf(i_0_2452, plain, (~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3)))). 3.26/3.45 cnf(i_0_1904, plain, (~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 3.26/3.45 cnf(i_0_481, 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))))). 3.26/3.45 cnf(i_0_4580, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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))))). 3.26/3.45 cnf(i_0_5524, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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)))))). 3.26/3.45 cnf(i_0_858, 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)))). 3.26/3.45 cnf(i_0_2982, 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)))). 3.26/3.45 cnf(i_0_3992, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)))). 3.26/3.45 cnf(i_0_5970, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X2),X2)))). 3.26/3.45 cnf(i_0_4833, 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)))))). 3.26/3.45 cnf(i_0_3369, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4)))). 3.26/3.45 cnf(i_0_4601, plain, (hAPP(c_Set_OPow(X1),X2)!=hAPP(c_Set_Oimage(X1,tc_fun(X1,tc_HOL_Obool),X3),X2))). 3.26/3.45 cnf(i_0_6828, 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)))))). 3.26/3.45 cnf(i_0_6978, 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))))). 3.26/3.45 cnf(i_0_1427, 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))). 3.26/3.45 cnf(i_0_2484, 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)))))). 3.26/3.45 cnf(i_0_737, 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))))))). 3.26/3.45 cnf(i_0_471, 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)))). 3.26/3.45 cnf(i_0_770, 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))). 3.26/3.45 cnf(i_0_1771, plain, (~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))))))). 3.26/3.45 cnf(i_0_3130, 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))))). 3.26/3.45 cnf(i_0_5967, 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))))). 3.26/3.45 cnf(i_0_4328, 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))))). 3.26/3.45 cnf(i_0_891, 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))))). 3.26/3.45 cnf(i_0_6406, 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))))). 3.26/3.45 cnf(i_0_3103, plain, (~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X1,hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot)),c_fequal)),X2),X2)))). 3.26/3.45 cnf(i_0_838, 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))))). 3.26/3.45 cnf(i_0_2565, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_6959, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 3.26/3.45 cnf(i_0_5846, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.45 cnf(i_0_2197, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.45 cnf(i_0_2241, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 3.26/3.45 cnf(i_0_5976, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.45 cnf(i_0_3243, plain, (c_Groups_Oone__class_Oone(X1)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ozero__neq__one(X1))). 3.26/3.45 cnf(i_0_768, plain, (~hBOOL(hAPP(c_fNot,X1))|~hBOOL(X1))). 3.26/3.45 cnf(i_0_1263, plain, (~c_Int_Oiszero(X1,c_Groups_Oone__class_Oone(X1))|~class_Rings_Osemiring__1(X1))). 3.26/3.45 cnf(i_0_2406, plain, (c_HOL_Oequal__class_Oequal(X1)=c_fequal|~class_HOL_Oequal(X1))). 3.26/3.45 cnf(i_0_3582, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fconj,X2),X1)))). 3.26/3.45 cnf(i_0_6971, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fconj,X1),X2)))). 3.26/3.45 cnf(i_0_1613, plain, (hBOOL(hAPP(c_fNot,X1))|hBOOL(X1))). 3.26/3.45 cnf(i_0_5167, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Nitpick_Owf_H(X1,X2))). 3.26/3.45 cnf(i_0_6091, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(X2,X1))))). 3.26/3.45 cnf(i_0_2989, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(X2,X1))))). 3.26/3.45 cnf(i_0_2988, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(X1,X2))))). 3.26/3.45 cnf(i_0_4221, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fimplies,X2),X1))|~hBOOL(X2))). 3.26/3.45 cnf(i_0_422, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal,X1),X2)))). 3.26/3.45 cnf(i_0_3948, plain, (X1=c_Option_Ooption_ONone(X2)|~c_Option_Ois__none(X2,X1))). 3.26/3.45 cnf(i_0_3414, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Owf(X1,X2))). 3.26/3.45 cnf(i_0_290, plain, (class_Enum_Oenum(tc_Option_Ooption(X1))|~class_Enum_Oenum(X1))). 3.26/3.45 cnf(i_0_2739, plain, (class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(X1))|~class_Lazy__Sequence_Osmall__lazy(X1))). 3.26/3.45 cnf(i_0_7018, plain, (class_Finite__Set_Ofinite(tc_Option_Ooption(X1))|~class_Finite__Set_Ofinite(X1))). 3.26/3.45 cnf(i_0_6202, plain, (hBOOL(X1)|hBOOL(X2)|~hBOOL(hAPP(hAPP(c_fdisj,X1),X2)))). 3.26/3.45 cnf(i_0_4396, plain, (c_List_Onat__list(X1)|~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),X1)))). 3.26/3.45 cnf(i_0_5890, plain, (~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))))|~class_Int_Onumber__ring(X1))). 3.26/3.45 cnf(i_0_339, plain, (c_Orderings_Oord__class_Omax(X1)=c_Lattices_Osemilattice__sup__class_Osup(X1)|~class_Lattices_Osemilattice__sup(X1)|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_1274, plain, (c_Orderings_Oord__class_Omin(X1)=c_Lattices_Osemilattice__inf__class_Oinf(X1)|~class_Lattices_Osemilattice__inf(X1)|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_2862, plain, (X1=X2|~c_List_Olist__all2(X3,X3,c_fequal,X1,X2))). 3.26/3.45 cnf(i_0_6956, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~c_Int_Oiszero(X2,X1)|~class_Rings_Osemiring__1(X2))). 3.26/3.45 cnf(i_0_3725, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(X2,X3,X1))))). 3.26/3.45 cnf(i_0_2930, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(X2,X3,X1))))). 3.26/3.45 cnf(i_0_2931, plain, (hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(X2,X1,X3))))). 3.26/3.45 cnf(i_0_7431, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oremdups(X2,X1)!=c_List_Olist_ONil(X2))). 3.26/3.45 cnf(i_0_5840, plain, (hBOOL(hAPP(hAPP(c_fimplies,X1),X2))|~hBOOL(X2))). 3.26/3.45 cnf(i_0_5258, plain, (hBOOL(hAPP(hAPP(c_fdisj,X1),X2))|~hBOOL(X2))). 3.26/3.45 cnf(i_0_259, plain, (hBOOL(hAPP(hAPP(c_fdisj,X1),X2))|~hBOOL(X1))). 3.26/3.45 cnf(i_0_2621, 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)))). 3.26/3.45 cnf(i_0_3342, plain, (X1=X2|c_Com_Ocom_OWhile(X3,X2)!=c_Com_Ocom_OWhile(X4,X1))). 3.26/3.45 cnf(i_0_3343, plain, (X1=X2|c_Com_Ocom_OWhile(X1,X3)!=c_Com_Ocom_OWhile(X2,X4))). 3.26/3.45 cnf(i_0_3519, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))). 3.26/3.45 cnf(i_0_3520, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))). 3.26/3.45 cnf(i_0_675, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(X1,X2)))|~hBOOL(hAPP(c_Com_OWT,X2)))). 3.26/3.45 cnf(i_0_2939, plain, (X1=X2|hAPP(c_Nat_OSuc,X1)!=hAPP(c_Nat_OSuc,X2))). 3.26/3.45 cnf(i_0_6095, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X2)))). 3.26/3.45 cnf(i_0_340, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Olist_ONil(X1))|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_6837, 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))). 3.26/3.45 cnf(i_0_3609, plain, (X1=X2|hAPP(c_Com_Ocom_OBODY,X1)!=hAPP(c_Com_Ocom_OBODY,X2))). 3.26/3.45 cnf(i_0_2752, plain, (X1=X2|hAPP(c_Code__Numeral_Onat__of,X1)!=hAPP(c_Code__Numeral_Onat__of,X2))). 3.26/3.45 cnf(i_0_6613, plain, (c_Int_Oiszero(X1,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Osemiring__1(X1))). 3.26/3.45 cnf(i_0_2851, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 3.26/3.45 cnf(i_0_1949, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))). 3.26/3.45 cnf(i_0_3241, plain, (X1=X2|hAPP(c_Int_ORep__Integ,X1)!=hAPP(c_Int_ORep__Integ,X2))). 3.26/3.45 cnf(i_0_7272, plain, (hBOOL(hAPP(hAPP(c_fimplies,X1),X2))|hBOOL(X1))). 3.26/3.45 cnf(i_0_4395, plain, (c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),X1))|~c_List_Onat__list(X1))). 3.26/3.45 cnf(i_0_68, plain, (class_Groups_Ouminus(tc_fun(X1,X2))|~class_Groups_Ouminus(X2))). 3.26/3.45 cnf(i_0_1711, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))). 3.26/3.45 cnf(i_0_93, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 3.26/3.45 cnf(i_0_2520, plain, (class_Lattices_Osemilattice__inf(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 3.26/3.45 cnf(i_0_6459, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X1),X2)))). 3.26/3.45 cnf(i_0_209, plain, (class_Groups_Ominus(tc_fun(X1,X2))|~class_Groups_Ominus(X2))). 3.26/3.45 cnf(i_0_1037, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))). 3.26/3.45 cnf(i_0_807, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))). 3.26/3.45 cnf(i_0_3267, plain, (class_Orderings_Oord(tc_fun(X1,X2))|~class_Orderings_Oord(X2))). 3.26/3.45 cnf(i_0_1190, plain, (class_Lattices_Osemilattice__sup(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 3.26/3.45 cnf(i_0_4889, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))). 3.26/3.45 cnf(i_0_6331, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))). 3.26/3.45 cnf(i_0_2099, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))). 3.26/3.45 cnf(i_0_1288, 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))). 3.26/3.45 cnf(i_0_3841, plain, (c_Wellfounded_Owf(X1,X2)|esk279_2(X2,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_4061, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3))). 3.26/3.45 cnf(i_0_5169, plain, (c_Nitpick_Owf_H(X1,X2)|~c_Nitpick_Ounknown(tc_HOL_Obool)|~c_Wellfounded_Oacyclic(X1,X2))). 3.26/3.45 cnf(i_0_6041, plain, (class_Lattices_Obounded__lattice__bot(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 3.26/3.45 cnf(i_0_4762, plain, (class_Lattices_Obounded__lattice__top(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 3.26/3.45 cnf(i_0_4159, plain, (X1=c_List_Olist_ONil(X2)|hAPP(c_List_Orev(X2),X1)!=c_List_Olist_ONil(X2))). 3.26/3.45 cnf(i_0_2075, plain, (c_List_Olist_ONil(X1)=X2|hAPP(c_List_Orotate1(X1),X2)!=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_3121, plain, (X1=c_Option_Ooption_ONone(X2)|c_Option_Oset(X2,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_2397, 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)))). 3.26/3.45 cnf(i_0_5606, plain, (hBOOL(hAPP(hAPP(c_fconj,X1),X2))|~hBOOL(X1)|~hBOOL(X2))). 3.26/3.45 cnf(i_0_7218, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),X1)))). 3.26/3.45 cnf(i_0_5046, 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))). 3.26/3.45 cnf(i_0_6395, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X1,hAPP(c_Relation_Oconverse(X1,X1),X2)))). 3.26/3.45 cnf(i_0_1300, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5)!=c_List_Olist_ONil(X1)|~class_Orderings_Olinorder(X2))). 3.26/3.45 cnf(i_0_2987, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(X1,X2)))|~hBOOL(hAPP(c_Com_OWT,X1))|~hBOOL(hAPP(c_Com_OWT,X2)))). 3.26/3.45 cnf(i_0_6588, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|c_List_Oremdups(X1,X2)!=X2)). 3.26/3.45 cnf(i_0_1275, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~class_Finite__Set_Ofinite(X1))). 3.26/3.45 cnf(i_0_7468, plain, (class_Enum_Oenum(tc_fun(X1,X2))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1))). 3.26/3.45 cnf(i_0_2957, plain, (class_Enum_Oenum(tc_prod(X1,X2))|~class_Enum_Oenum(X1)|~class_Enum_Oenum(X2))). 3.26/3.45 cnf(i_0_3088, plain, (class_Enum_Oenum(tc_sum(X1,X2))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1))). 3.26/3.45 cnf(i_0_5099, plain, (class_HOL_Oequal(tc_fun(X1,X2))|~class_HOL_Oequal(X2)|~class_Enum_Oenum(X1))). 3.26/3.45 cnf(i_0_2522, 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))))). 3.26/3.45 cnf(i_0_6185, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_7022, plain, (class_Lazy__Sequence_Osmall__lazy(tc_prod(X1,X2))|~class_Lazy__Sequence_Osmall__lazy(X2)|~class_Lazy__Sequence_Osmall__lazy(X1))). 3.26/3.45 cnf(i_0_5409, plain, (c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(X1,X2))|~c_Nat__Transfer_Ois__nat(X2)|~c_Nat__Transfer_Ois__nat(X1))). 3.26/3.45 cnf(i_0_5211, plain, (class_Finite__Set_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite(X2)|~class_Finite__Set_Ofinite(X1))). 3.26/3.45 cnf(i_0_966, plain, (class_Finite__Set_Ofinite(tc_prod(X1,X2))|~class_Finite__Set_Ofinite(X1)|~class_Finite__Set_Ofinite(X2))). 3.26/3.45 cnf(i_0_4489, plain, (class_Finite__Set_Ofinite(tc_sum(X1,X2))|~class_Finite__Set_Ofinite(X2)|~class_Finite__Set_Ofinite(X1))). 3.26/3.45 cnf(i_0_6464, plain, (class_Smallcheck_Osmall(tc_prod(X1,X2))|~class_Smallcheck_Osmall(X2)|~class_Smallcheck_Osmall(X1))). 3.26/3.45 cnf(i_0_3332, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X2)))). 3.26/3.45 cnf(i_0_851, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X2)))). 3.26/3.45 cnf(i_0_5174, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.45 cnf(i_0_2398, 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))). 3.26/3.45 cnf(i_0_2657, plain, (hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(X1,X2,X3)))|~hBOOL(hAPP(c_Com_OWT,X3)))). 3.26/3.45 cnf(i_0_25, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_fequal,X2))))). 3.26/3.45 cnf(i_0_1420, 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))). 3.26/3.45 cnf(i_0_3309, 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))). 3.26/3.45 cnf(i_0_4549, 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))). 3.26/3.45 cnf(i_0_2405, plain, (X1=X2|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),X1),X3),X2)))). 3.26/3.45 cnf(i_0_390, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X4,X1)!=c_Com_Ocom_OLocal(X5,X6,X2))). 3.26/3.45 cnf(i_0_391, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X1,X4)!=c_Com_Ocom_OLocal(X5,X2,X6))). 3.26/3.45 cnf(i_0_1708, plain, (hBOOL(hAPP(c_Com_OWT,X1))|hAPP(c_Com_Obody,X2)!=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1))). 3.26/3.45 cnf(i_0_2521, 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)))). 3.26/3.45 cnf(i_0_389, plain, (X1=X2|c_Com_Ocom_OLocal(X1,X3,X4)!=c_Com_Ocom_OLocal(X2,X5,X6))). 3.26/3.45 cnf(i_0_1682, plain, (X1=X2|c_Com_Ocom_OCond(X3,X4,X2)!=c_Com_Ocom_OCond(X5,X6,X1))). 3.26/3.45 cnf(i_0_1683, plain, (X1=X2|c_Com_Ocom_OCond(X3,X1,X4)!=c_Com_Ocom_OCond(X5,X2,X6))). 3.26/3.45 cnf(i_0_1681, plain, (X1=X2|c_Com_Ocom_OCond(X1,X3,X4)!=c_Com_Ocom_OCond(X2,X5,X6))). 3.26/3.45 cnf(i_0_5137, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(c_Int_OAbs__Integ,esk370_2(X2,X1)))))). 3.26/3.45 cnf(i_0_1847, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk137_2(X1,X3))))). 3.26/3.45 cnf(i_0_5879, plain, (c_List_Oremdups(X1,X2)=X2|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.45 cnf(i_0_7080, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|esk503_1(X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_1032, plain, (X1=X2|c_Lazy__Sequence_Olazy__sequence_OInsert(X3,X4,X2)!=c_Lazy__Sequence_Olazy__sequence_OInsert(X3,X5,X1))). 3.26/3.45 cnf(i_0_1033, plain, (X1=X2|c_Lazy__Sequence_Olazy__sequence_OInsert(X3,X1,X4)!=c_Lazy__Sequence_Olazy__sequence_OInsert(X3,X2,X5))). 3.26/3.45 cnf(i_0_5189, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_Enum_Oenum__class_Oenum(X1)))|~class_Enum_Oenum(X1))). 3.26/3.45 cnf(i_0_3839, plain, (c_Orderings_Oord_Omin(X1,c_Orderings_Oord__class_Oless__eq(X1))=c_Orderings_Oord__class_Omin(X1)|~class_Orderings_Oord(X1))). 3.26/3.45 cnf(i_0_3385, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),X3))). 3.26/3.45 cnf(i_0_6057, plain, (c_Relation_Osingle__valued(X1,X2,X3)|esk437_3(X3,X2,X1)!=esk436_3(X3,X2,X1))). 3.26/3.45 cnf(i_0_3240, plain, (hAPP(c_Com_Obody,X1)=c_Option_Ooption_ONone(tc_Com_Ocom)|hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))))). 3.26/3.45 cnf(i_0_2024, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=X2)). 3.26/3.45 cnf(i_0_1302, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Oappend(X2),X3),X1)!=X3)). 3.26/3.45 cnf(i_0_3671, plain, (c_List_Olist_ONil(X1)=X2|hAPP(hAPP(c_List_Oappend(X1),X2),X3)!=X3)). 3.26/3.45 cnf(i_0_312, plain, (c_Orderings_Oord_Omax(X1,c_Orderings_Oord__class_Oless__eq(X1))=c_Orderings_Oord__class_Omax(X1)|~class_Orderings_Oord(X1))). 3.26/3.45 cnf(i_0_6170, plain, (c_Relation_Ototal__on(X1,X2,X3)|esk443_3(X3,X2,X1)!=esk442_3(X3,X2,X1))). 3.26/3.45 cnf(i_0_2322, plain, (c_Finite__Set_Ofun__left__comm(X1,X1,c_Groups_Otimes__class_Otimes(X1))|~class_Groups_Oab__semigroup__mult(X1))). 3.26/3.45 cnf(i_0_5022, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(X1))|~class_Lattices_Osemilattice__sup(X1))). 3.26/3.45 cnf(i_0_6278, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Groups_Otimes__class_Otimes(X1))|~class_Lattices_Oab__semigroup__idem__mult(X1))). 3.26/3.45 cnf(i_0_2479, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Osgn__if(X1))). 3.26/3.45 cnf(i_0_3066, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Orderings_Oord__class_Omax(X1))|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_506, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Orderings_Oord__class_Omin(X1))|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_648, plain, (c_Finite__Set_Ofun__left__comm__idem(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1))|~class_Lattices_Osemilattice__inf(X1))). 3.26/3.45 cnf(i_0_3576, plain, (X1=c_List_Olist_ONil(X2)|~c_List_Olist__all2(X2,X3,X4,X1,c_List_Olist_ONil(X3)))). 3.26/3.45 cnf(i_0_4811, plain, (c_List_Olist_ONil(X1)=X2|~c_List_Olist__all2(X3,X1,X4,c_List_Olist_ONil(X3),X2))). 3.26/3.45 cnf(i_0_6018, plain, (c_List_Otranspose(X1,X2)=c_List_Olist_ONil(tc_List_Olist(X1))|esk434_2(X2,X1)!=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_35, plain, (hBOOL(hAPP(X1,X2))|~class_Enum_Oenum(X3)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X3),X1)))). 3.26/3.45 cnf(i_0_3922, plain, (X1=c_List_Olist_ONil(X2)|hAPP(c_List_Oset(X2),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 3.26/3.45 cnf(i_0_2414, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~c_Wellfounded_Omax__extp(X1,X3,X4,X2))). 3.26/3.45 cnf(i_0_2415, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~c_Wellfounded_Omax__extp(X1,X3,X2,X4))). 3.26/3.45 cnf(i_0_4918, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)!=X2|~class_Groups_Olinordered__ab__group__add(X1))). 3.26/3.45 cnf(i_0_2563, plain, (X1=c_List_Olist_ONil(X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_7219, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))). 3.26/3.45 cnf(i_0_3926, plain, (X1=X2|hAPP(c_Option_Ooption_OSome(X3),X1)!=hAPP(c_Option_Ooption_OSome(X3),X2))). 3.26/3.45 cnf(i_0_708, plain, (X1=X2|hAPP(c_List_Orev(X3),X1)!=hAPP(c_List_Orev(X3),X2))). 3.26/3.45 cnf(i_0_3959, plain, (c_List_Olist__ex(X1,X2,X3)|~c_List_Olist__ex(X1,X2,hAPP(c_List_Orev(X1),X3)))). 3.26/3.45 cnf(i_0_4265, plain, (c_List_Olist__all(X1,X2,X3)|~c_List_Olist__all(X1,X2,hAPP(c_List_Orev(X1),X3)))). 3.26/3.45 cnf(i_0_5120, plain, (hBOOL(hAPP(hAPP(X1,X2),X2))|~c_Equiv__Relations_Oequivp(X3,X1))). 3.26/3.45 cnf(i_0_5995, plain, (hBOOL(hAPP(hAPP(X1,X2),X2))|~c_Predicate_Oreflp(X3,X1))). 3.26/3.45 cnf(i_0_1318, 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))). 3.26/3.45 cnf(i_0_301, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.45 cnf(i_0_349, plain, (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.45 cnf(i_0_790, plain, (c_List_Olist__all(X1,X2,X3)|~hBOOL(hAPP(X2,esk57_3(X2,X3,X1))))). 3.26/3.45 cnf(i_0_6433, plain, (c_List_Olist__all(X1,X2,X3)|~hBOOL(hAPP(X2,esk452_3(X3,X2,X1))))). 3.26/3.45 cnf(i_0_7172, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|esk510_2(X2,X1)!=esk511_2(X2,X1))). 3.26/3.45 cnf(i_0_7498, plain, (c_List_Olist__all(X1,X2,X3)|~hBOOL(hAPP(X2,esk532_3(X3,X2,X1))))). 3.26/3.45 cnf(i_0_5434, plain, (c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2))|~c_Nat__Transfer_Ois__nat(X1))). 3.26/3.45 cnf(i_0_87, plain, (c_Wellfounded_OwfP(X1,X2)|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk8_2(X2,X1))))). 3.26/3.45 cnf(i_0_777, 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))))). 3.26/3.45 cnf(i_0_2929, 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)))). 3.26/3.45 cnf(i_0_797, 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)))). 3.26/3.45 cnf(i_0_5045, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__idom(X1))). 3.26/3.45 cnf(i_0_1065, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Groups_Oabs__class_Oabs(X2),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Oordered__ab__group__add__abs(X2))). 3.26/3.45 cnf(i_0_2898, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 3.26/3.45 cnf(i_0_4057, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Oappend(X2),X1),X3)!=c_List_Olist_ONil(X2))). 3.26/3.45 cnf(i_0_4212, plain, (X1=X2|~class_HOL_Oequal(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(X3),X1),X2)))). 3.26/3.45 cnf(i_0_7102, 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)),esk504_1(X1))))). 3.26/3.45 cnf(i_0_4925, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_5799, 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))). 3.26/3.45 cnf(i_0_4056, plain, (c_List_Olist_ONil(X1)=X2|hAPP(hAPP(c_List_Oappend(X1),X3),X2)!=c_List_Olist_ONil(X1))). 3.26/3.45 cnf(i_0_1642, plain, (c_Divides_Odiv__class_Omod(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 3.26/3.45 cnf(i_0_4924, 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))). 3.26/3.45 cnf(i_0_2598, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X1),X2))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(X2,X3)))). 3.26/3.45 cnf(i_0_7379, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X2))|~class_Orderings_Opreorder(X1))). 3.26/3.45 cnf(i_0_7052, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Relation_Orefl__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3)))). 3.26/3.45 cnf(i_0_4169, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3)))). 3.26/3.45 cnf(i_0_4614, 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))). 3.26/3.45 cnf(i_0_2581, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X1),X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Ogroup__add(X3))). 3.26/3.45 cnf(i_0_1327, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(X1),X2),X2))|~class_HOL_Oequal(X1))). 3.26/3.45 cnf(i_0_5795, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orev(X1),X2))))). 3.26/3.45 cnf(i_0_4524, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orotate1(X1),X2))))). 3.26/3.45 cnf(i_0_2643, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(X3,X4,X1),X5),X2)))). 3.26/3.45 cnf(i_0_4917, 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))). 3.26/3.45 cnf(i_0_5620, 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)))). 3.26/3.45 cnf(i_0_65, 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))). 3.26/3.45 cnf(i_0_147, plain, (hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X2,X1)))|~hBOOL(hAPP(X1,X3)))). 3.26/3.45 cnf(i_0_5919, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Oremdups(X1,X2))|~c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_2423, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X2)=X2|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_429, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2)=X2|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_2329, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OatMost(X3),X1)!=hAPP(c_SetInterval_Oord__class_OatMost(X3),X2)|~class_Orderings_Olinorder(X3))). 3.26/3.45 cnf(i_0_6747, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OlessThan(X3),X1)!=hAPP(c_SetInterval_Oord__class_OlessThan(X3),X2)|~class_Orderings_Olinorder(X3))). 3.26/3.45 cnf(i_0_1665, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OatLeast(X3),X1)!=hAPP(c_SetInterval_Oord__class_OatLeast(X3),X2)|~class_Orderings_Olinorder(X3))). 3.26/3.45 cnf(i_0_2999, plain, (X1=X2|hAPP(c_SetInterval_Oord__class_OgreaterThan(X3),X1)!=hAPP(c_SetInterval_Oord__class_OgreaterThan(X3),X2)|~class_Orderings_Olinorder(X3))). 3.26/3.45 cnf(i_0_5734, 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))))). 3.26/3.45 cnf(i_0_323, 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)))). 3.26/3.45 cnf(i_0_1951, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Omap(X2,X3),X4),X1)!=c_List_Olist_ONil(X3))). 3.26/3.45 cnf(i_0_4898, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(c_List_Olist__update(X2,X1),X3),X4)!=c_List_Olist_ONil(X2))). 3.26/3.45 cnf(i_0_4154, plain, (X1=c_Option_Ooption_ONone(X2)|hAPP(hAPP(c_Option_Omap(X2,X3),X4),X1)!=c_Option_Ooption_ONone(X3))). 3.26/3.45 cnf(i_0_2567, 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)))). 3.26/3.45 cnf(i_0_64, 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))). 3.26/3.45 cnf(i_0_4683, plain, (c_List_OtakeWhile(X1,X2,X3)=X3|~hBOOL(hAPP(X2,esk337_3(X3,X2,X1))))). 3.26/3.45 cnf(i_0_6177, plain, (c_Enum_Oall__n__lists(X1,X2,X3)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(X2,esk444_3(X3,X2,X1))))). 3.26/3.45 cnf(i_0_2622, 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)))). 3.26/3.45 cnf(i_0_7051, 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)))). 3.26/3.45 cnf(i_0_4376, 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))))). 3.26/3.45 cnf(i_0_82, 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))). 3.26/3.45 cnf(i_0_2100, 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))). 3.26/3.45 cnf(i_0_6305, plain, (c_Wellfounded_OwfP(X1,c_FunDef_Oin__rel(X1,X1,X2))|~c_Wellfounded_Owf(X1,X2))). 3.26/3.45 cnf(i_0_613, plain, (c_Wellfounded_Owf(X1,c_Wellfounded_Omlex__prod(X1,X2,X3))|~c_Wellfounded_Owf(X1,X3))). 3.26/3.45 cnf(i_0_6534, 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))). 3.26/3.45 cnf(i_0_3260, plain, (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))|hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2)!=hAPP(c_Com_Obody,X1))). 3.26/3.45 cnf(i_0_5102, plain, (hBOOL(hAPP(X1,c_Option_Ooption_ONone(X2)))|~class_Enum_Oenum(X2)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(X2)),X1)))). 3.26/3.45 cnf(i_0_4600, 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))). 3.26/3.45 cnf(i_0_6536, 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))). 3.26/3.45 cnf(i_0_1893, 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))). 3.26/3.45 cnf(i_0_6873, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|esk485_4(X4,X3,X2,X1)!=esk486_4(X4,X3,X2,X1))). 3.26/3.45 cnf(i_0_36, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),X2))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(X2,esk5_2(X2,X1))))). 3.26/3.45 cnf(i_0_423, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),X2))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(X2,esk28_2(X2,X1))))). 3.26/3.45 cnf(i_0_6661, 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))). 3.26/3.45 cnf(i_0_2953, plain, (X1=X2|hAPP(X1,esk219_2(X2,X1))!=hAPP(X2,esk219_2(X2,X1)))). 3.26/3.45 cnf(i_0_5254, plain, (c_Fun_Oinj__on(X1,X1,c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Groups_Oordered__ab__group__add(X1))). 3.26/3.45 cnf(i_0_736, 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)))). 3.26/3.45 cnf(i_0_3491, 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))). 3.26/3.45 cnf(i_0_5977, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))). 3.26/3.45 cnf(i_0_3234, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 3.26/3.45 cnf(i_0_6383, 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))). 3.26/3.45 cnf(i_0_1265, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X2)))). 3.26/3.45 cnf(i_0_4905, 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))). 3.26/3.45 cnf(i_0_99, plain, (hAPP(c_Nat_OSuc,esk9_1(X1))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 3.26/3.45 cnf(i_0_3829, plain, (hBOOL(hAPP(X1,esk278_2(X2,X1)))|~hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X2,X1))))). 3.26/3.45 cnf(i_0_399, plain, (hBOOL(hAPP(X1,esk26_1(X1)))|~hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 3.26/3.45 cnf(i_0_6312, 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))). 3.26/3.45 cnf(i_0_3085, 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))). 3.26/3.45 cnf(i_0_1448, plain, (X1=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(X3),X2)|~class_Groups_Ogroup__add(X3))). 3.26/3.45 cnf(i_0_3313, plain, (X1=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(X3),X2)|~class_Lattices_Oboolean__algebra(X3))). 3.26/3.45 cnf(i_0_7107, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)!=X3|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1))). 3.26/3.45 cnf(i_0_6255, plain, (c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2))|~c_Nat__Transfer_Ois__nat(X1))). 3.26/3.45 cnf(i_0_3020, 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))). 3.26/3.45 cnf(i_0_17, plain, (c_Divides_Odiv__class_Omod(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Divides_Osemiring__div(X1))). 3.26/3.45 cnf(i_0_5553, plain, (c_Nat__Transfer_Ois__nat(X1)|~c_Nat__Transfer_Onat__set(X2)|~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),X1),X2)))). 3.26/3.45 cnf(i_0_1755, 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)))). 3.26/3.45 cnf(i_0_2353, 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)))). 3.26/3.45 cnf(i_0_4126, plain, (c_List_Olist__all(X1,X2,X3)|~c_List_Olist__all(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X4),X3)))). 3.26/3.45 cnf(i_0_4125, plain, (c_List_Olist__all(X1,X2,X3)|~c_List_Olist__all(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4)))). 3.26/3.45 cnf(i_0_1700, plain, (c_List_Olist__all(X1,X2,X3)|~c_List_Olist__all(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3)))). 3.26/3.45 cnf(i_0_3583, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X2)=X2|~class_Lattices_Osemilattice__sup(X1))). 3.26/3.45 cnf(i_0_1513, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)=X2|~class_Lattices_Oab__semigroup__idem__mult(X1))). 3.26/3.45 cnf(i_0_7559, plain, (~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)))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.45 cnf(i_0_6938, 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))))). 3.26/3.45 cnf(i_0_5561, plain, (hAPP(X1,X2)!=c_Option_Ooption_ONone(X3)|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_Map_Odom(X4,X3,X1))))). 3.26/3.45 cnf(i_0_2759, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Oacyclic(X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2)))). 3.26/3.45 cnf(i_0_356, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Olattice(X1))). 3.26/3.45 cnf(i_0_6160, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Osemilattice__inf(X1))). 3.26/3.45 cnf(i_0_4347, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X2)=X2|~class_Lattices_Olattice(X1))). 3.26/3.45 cnf(i_0_1355, plain, (c_Wellfounded_Owf(tc_List_Olist(X1),c_List_Olex(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 3.26/3.45 cnf(i_0_7458, plain, (c_Wellfounded_Owf(tc_List_Olist(X1),c_List_Olenlex(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 3.26/3.45 cnf(i_0_383, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)))). 3.26/3.45 cnf(i_0_6238, 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)))). 3.26/3.45 cnf(i_0_5414, plain, (c_Nitpick_Ocard_H(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.45 cnf(i_0_1452, plain, (c_Hilbert__Choice_OGreatestM(X1,X1,c_COMBI(X1))=c_Hilbert__Choice_OGreatest(X1)|~class_Orderings_Oord(X1))). 3.26/3.45 cnf(i_0_90, 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))). 3.26/3.45 cnf(i_0_5735, 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))). 3.26/3.45 cnf(i_0_3473, plain, (X1=c_Orderings_Obot__class_Obot(X2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X2),X3),X1)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice__bot(X2))). 3.26/3.45 cnf(i_0_535, 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))). 3.26/3.45 cnf(i_0_3472, plain, (c_Orderings_Obot__class_Obot(X1)=X2|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),X3)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice__bot(X1))). 3.26/3.45 cnf(i_0_1699, plain, (hBOOL(hAPP(X1,X2))|~c_List_Olist__all(X3,X1,hAPP(hAPP(c_List_Olist_OCons(X3),X2),X4)))). 3.26/3.45 cnf(i_0_5226, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),esk378_1(X1)))))). 3.26/3.45 cnf(i_0_6813, plain, (hBOOL(hAPP(X1,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),esk478_1(X1))))|~hBOOL(hAPP(X1,X2)))). 3.26/3.45 cnf(i_0_371, 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)))). 3.26/3.45 cnf(i_0_2677, 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)))). 3.26/3.45 cnf(i_0_3143, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Typedef_Otype__definition(X4,X5,X3,X6,X7))). 3.26/3.45 cnf(i_0_5372, 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))). 3.26/3.45 cnf(i_0_2458, 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)))). 3.26/3.45 cnf(i_0_1675, plain, (c_List_Olinorder__class_Osorted(X1,esk119_2(X2,X1))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.45 cnf(i_0_7205, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Oremove1(X1,X2,X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_2553, plain, (c_List_Olinorder__class_Osorted(X1,c_List_OtakeWhile(X1,X2,X3))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_7262, 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))). 3.26/3.45 cnf(i_0_86, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~c_Wellfounded_OwfP(X1,X2))). 3.26/3.45 cnf(i_0_1761, 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)))). 3.26/3.45 cnf(i_0_3052, 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)))). 3.26/3.45 cnf(i_0_2175, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))). 3.26/3.45 cnf(i_0_3785, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=X3|~hBOOL(hAPP(X2,esk273_3(X3,X2,X1))))). 3.26/3.45 cnf(i_0_5168, plain, (c_Nitpick_Owf_H(X1,X2)|~c_Wellfounded_Oacyclic(X1,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2)))). 3.26/3.45 cnf(i_0_5162, 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))). 3.26/3.45 cnf(i_0_1648, 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))). 3.26/3.45 cnf(i_0_4658, 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)))). 3.26/3.45 cnf(i_0_6556, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))|~hBOOL(hAPP(X2,esk466_3(X3,X2,X1))))). 3.26/3.45 cnf(i_0_3509, 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)))))). 3.26/3.45 cnf(i_0_1316, plain, (hBOOL(hAPP(c_Predicate_OPowp(X1,X2),X3))|~hBOOL(hAPP(X2,esk95_3(X3,X2,X1))))). 3.26/3.45 cnf(i_0_4747, 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))). 3.26/3.45 cnf(i_0_4393, 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))). 3.26/3.45 cnf(i_0_5502, plain, (c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(X1),esk400_2(X2,X1)),c_Wellfounded_Oacc(X1,X2))))). 3.26/3.45 cnf(i_0_3068, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),X3),X2)))). 3.26/3.45 cnf(i_0_1602, 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)))). 3.26/3.45 cnf(i_0_5983, 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)))). 3.26/3.45 cnf(i_0_5439, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk393_2(X1,X2)),X2)))). 3.26/3.45 cnf(i_0_2637, 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)))). 3.26/3.45 cnf(i_0_3486, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk250_2(X1,X2)),X2)))). 3.26/3.45 cnf(i_0_2245, plain, (X1=c_Orderings_Otop__class_Otop(X2)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),X1),X3)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice__top(X2))). 3.26/3.45 cnf(i_0_2246, plain, (c_Orderings_Otop__class_Otop(X1)=X2|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)!=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice__top(X1))). 3.26/3.45 cnf(i_0_2542, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))). 3.26/3.45 cnf(i_0_2543, plain, (X1=X2|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X4),X1),X3),X2)))). 3.26/3.45 cnf(i_0_5183, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))))). 3.26/3.45 cnf(i_0_1992, 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)))). 3.26/3.45 cnf(i_0_849, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(c_List_Otl(X1),X2))|~c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1))). 3.26/3.45 cnf(i_0_5263, plain, (hAPP(hAPP(X1,X2),X2)=X2|~c_Finite__Set_Ofolding__one__idem(X3,X1,X4))). 3.26/3.45 cnf(i_0_2630, plain, (c_Option_Ooption_ONone(X1)=hAPP(X2,X3)|hAPP(c_Map_Omap__add(X4,X1,X5,X2),X3)!=c_Option_Ooption_ONone(X1))). 3.26/3.45 cnf(i_0_1492, plain, (hAPP(c_Finite__Set_Ocard(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.45 cnf(i_0_4998, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Oappend(X1),X3),X2))))). 3.26/3.45 cnf(i_0_4997, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))))). 3.26/3.45 cnf(i_0_3034, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2))))). 3.26/3.45 cnf(i_0_6294, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_List_Olistsp(X3,X1),hAPP(hAPP(c_List_Olist_OCons(X3),X2),X4))))). 3.26/3.45 cnf(i_0_2629, plain, (hAPP(X1,X2)=c_Option_Ooption_ONone(X3)|hAPP(c_Map_Omap__add(X4,X3,X1,X5),X2)!=c_Option_Ooption_ONone(X3))). 3.26/3.45 cnf(i_0_372, 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))))). 3.26/3.45 cnf(i_0_6466, 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))). 3.26/3.45 cnf(i_0_3115, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2),X6)))). 3.26/3.45 cnf(i_0_4129, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X1),X3),X2)))). 3.26/3.45 cnf(i_0_4179, plain, (X1=hAPP(X2,X3)|hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X4,X5),X2),X3),X1)!=X2)). 3.26/3.45 cnf(i_0_6396, plain, (c_Wellfounded_Oacyclic(X1,hAPP(c_Relation_Oconverse(X1,X1),X2))|~c_Wellfounded_Oacyclic(X1,X2))). 3.26/3.45 cnf(i_0_2642, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(X4,X1,X5),X2),X3)))). 3.26/3.45 cnf(i_0_1662, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X1),X2)))). 3.26/3.45 cnf(i_0_3296, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X1),X4),X2)))). 3.26/3.45 cnf(i_0_3873, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X2,X3,hAPP(hAPP(c_Set_Oinsert(X1),X5),X4)))). 3.26/3.45 cnf(i_0_2638, plain, (X1=X2|hAPP(hAPP(c_List_Oappend(X3),X4),X1)!=hAPP(hAPP(c_List_Oappend(X3),X4),X2))). 3.26/3.45 cnf(i_0_2714, 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,esk192_2(X2,X1))))). 3.26/3.45 cnf(i_0_2578, plain, (X1=X2|hAPP(hAPP(c_List_Oappend(X3),X1),X4)!=hAPP(hAPP(c_List_Oappend(X3),X2),X4))). 3.26/3.45 cnf(i_0_5589, plain, (X1=X2|hAPP(hAPP(c_List_Olist_OCons(X3),X4),X1)!=hAPP(hAPP(c_List_Olist_OCons(X3),X5),X2))). 3.26/3.45 cnf(i_0_5588, plain, (X1=X2|hAPP(hAPP(c_List_Olist_OCons(X3),X1),X4)!=hAPP(hAPP(c_List_Olist_OCons(X3),X2),X5))). 3.26/3.45 cnf(i_0_4336, 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))))). 3.26/3.45 cnf(i_0_4411, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))|~hBOOL(hAPP(X1,esk319_1(X1))))). 3.26/3.45 cnf(i_0_5209, 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))))). 3.26/3.45 cnf(i_0_4870, 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)))). 3.26/3.45 cnf(i_0_5954, 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))). 3.26/3.45 cnf(i_0_3025, plain, (c_List_Olinorder__class_Osort__key(X1,X2,X3,c_List_Olist_ONil(X1))=c_List_Olist_ONil(X1)|~class_Orderings_Olinorder(X2))). 3.26/3.45 cnf(i_0_3261, plain, (hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk236_1(X1))=hAPP(c_Com_Obody,X1)|~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))))). 3.26/3.45 cnf(i_0_1085, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(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)))|~class_Int_Onumber__ring(X1))). 3.26/3.45 cnf(i_0_7537, plain, (hAPP(c_Option_Ooption_OSome(X1),esk539_2(X1,X2))=X2|X2=c_Option_Ooption_ONone(X1))). 3.26/3.45 cnf(i_0_6615, 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)))))). 3.26/3.45 cnf(i_0_1138, plain, (hAPP(c_Option_Ooption_OSome(X1),esk83_2(X1,X2))=X2|c_Option_Ooption_ONone(X1)=X2)). 3.26/3.46 cnf(i_0_4050, plain, (hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk298_1(X1))=hAPP(c_Com_Obody,X1)|~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))))). 3.26/3.46 cnf(i_0_6935, 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))). 3.26/3.46 cnf(i_0_7015, 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)))). 3.26/3.46 cnf(i_0_5002, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2)))). 3.26/3.46 cnf(i_0_4782, 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))). 3.26/3.46 cnf(i_0_7508, 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))). 3.26/3.46 cnf(i_0_3958, plain, (c_List_Olist__ex(X1,X2,hAPP(c_List_Orev(X1),X3))|~c_List_Olist__ex(X1,X2,X3))). 3.26/3.46 cnf(i_0_4266, plain, (c_List_Olist__all(X1,X2,hAPP(c_List_Orev(X1),X3))|~c_List_Olist__all(X1,X2,X3))). 3.26/3.46 cnf(i_0_1439, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X4),X3)))). 3.26/3.46 cnf(i_0_3819, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X2))|~class_Orderings_Oorder(X1))). 3.26/3.46 cnf(i_0_6485, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.46 cnf(i_0_5894, plain, (hBOOL(hAPP(X1,esk428_3(X2,X1,X3)))|~c_List_Olist__ex(X3,X1,X2))). 3.26/3.46 cnf(i_0_6903, plain, (hBOOL(hAPP(X1,esk491_3(X2,X1,X3)))|~c_List_Olist__ex1(X3,X1,X2))). 3.26/3.46 cnf(i_0_4743, 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_Power_Opower(X1)|~class_Rings_Ozero__neq__one(X1)|~class_Rings_Omult__zero(X1)|~class_Rings_Ono__zero__divisors(X1))). 3.26/3.46 cnf(i_0_1099, 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)))). 3.26/3.46 cnf(i_0_705, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(X1)),X2))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(X2,c_Option_Ooption_ONone(X1))))). 3.26/3.46 cnf(i_0_2597, plain, (hBOOL(hAPP(X1,esk178_2(X1,X2)))|~class_Enum_Oenum(X2)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X2),X1)))). 3.26/3.46 cnf(i_0_3544, plain, (hBOOL(hAPP(X1,esk256_2(X1,X2)))|~class_Enum_Oenum(X2)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X2),X1)))). 3.26/3.46 cnf(i_0_1730, plain, (c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omax__ext(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 3.26/3.46 cnf(i_0_2786, plain, (c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omin__ext(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 3.26/3.46 cnf(i_0_7103, plain, (c_Nat__Transfer_Onat__set(X1)|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk504_1(X1)),X1)))). 3.26/3.46 cnf(i_0_6827, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Orderings_Otop__class_Otop(X1)))|~class_Orderings_Otop(X1))). 3.26/3.46 cnf(i_0_5855, 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))). 3.26/3.46 cnf(i_0_4099, 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))). 3.26/3.46 cnf(i_0_4404, 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))). 3.26/3.46 cnf(i_0_3743, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Orderings_Obot__class_Obot(X1)),X2))|~class_Orderings_Obot(X1))). 3.26/3.46 cnf(i_0_2961, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 3.26/3.46 cnf(i_0_2713, 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))))). 3.26/3.46 cnf(i_0_4135, 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))). 3.26/3.46 cnf(i_0_2530, 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))). 3.26/3.46 cnf(i_0_3939, plain, (X1=X2|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X3,X4),X2))|~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(X3,X4),X1)))). 3.26/3.46 cnf(i_0_6770, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=X3|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Option_Oset(X1,X3))))). 3.26/3.46 cnf(i_0_3137, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Otl(X1),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.46 cnf(i_0_5796, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orev(X1),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.46 cnf(i_0_4523, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Orotate1(X1),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.46 cnf(i_0_5001, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.46 cnf(i_0_453, 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)))). 3.26/3.46 cnf(i_0_528, 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)))). 3.26/3.46 cnf(i_0_4068, 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)))). 3.26/3.46 cnf(i_0_304, 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)))). 3.26/3.46 cnf(i_0_4832, plain, (c_Fun_Oid(X1)=hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))|~c_Finite__Set_Ofolding(X3,X1,X4,X2))). 3.26/3.46 cnf(i_0_2645, 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)))). 3.26/3.46 cnf(i_0_5339, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 3.26/3.46 cnf(i_0_3898, 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)))). 3.26/3.46 cnf(i_0_4256, plain, (c_Lazy__Sequence_Osmall__lazy_H(X1,X2)=c_Lazy__Sequence_Oempty(tc_Int_Oint)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 3.26/3.46 cnf(i_0_4544, 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))))). 3.26/3.46 cnf(i_0_3180, plain, (hAPP(c_List_Oset(X1),c_Enum_Oenum__class_Oenum(X1))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))|~class_Enum_Oenum(X1))). 3.26/3.46 cnf(i_0_47, 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))|X2=X1)). 3.26/3.46 cnf(i_0_464, 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))). 3.26/3.46 cnf(i_0_3357, 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))). 3.26/3.46 cnf(i_0_3297, 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)))). 3.26/3.46 cnf(i_0_6981, plain, (c_List_Olinorder__class_Osorted(X1,c_List_Olinorder__class_Osort__key(X1,X1,c_COMBI(X1),X2))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_3837, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|~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))))). 3.26/3.46 cnf(i_0_5378, 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))))). 3.26/3.46 cnf(i_0_6793, 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))). 3.26/3.46 cnf(i_0_5281, 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))). 3.26/3.46 cnf(i_0_5035, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk365_4(X2,X1,hAPP(c_Option_Ooption_OSome(X3),X2),X3))))). 3.26/3.46 cnf(i_0_7503, plain, (hAPP(X1,X2)=hAPP(X1,X3)|~c_Equiv__Relations_Oequivp(X4,X1)|~hBOOL(hAPP(hAPP(X1,X2),X3)))). 3.26/3.46 cnf(i_0_2286, 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))))). 3.26/3.46 cnf(i_0_5008, plain, (X1=X2|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),X2),X1)))). 3.26/3.46 cnf(i_0_1018, 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))). 3.26/3.46 cnf(i_0_291, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk20_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_6584, 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))). 3.26/3.46 cnf(i_0_5412, 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))). 3.26/3.46 cnf(i_0_6085, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk440_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_5874, plain, (c_List_Olist__all(X1,X2,X3)|~hBOOL(hAPP(X2,hAPP(hAPP(c_List_Onth(X1),X3),esk427_3(X3,X2,X1)))))). 3.26/3.46 cnf(i_0_2623, plain, (hAPP(X1,hAPP(X2,X3))=X3|~c_Typedef_Otype__definition(X4,X5,X2,X1,X6))). 3.26/3.46 cnf(i_0_2125, 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)))). 3.26/3.46 cnf(i_0_3625, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk263_1(X1))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 3.26/3.46 cnf(i_0_6824, 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)))). 3.26/3.46 cnf(i_0_6415, 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)))). 3.26/3.46 cnf(i_0_2294, plain, (c_Wellfounded_OwfP(X1,X2)|~c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2)))). 3.26/3.46 cnf(i_0_6379, 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)))). 3.26/3.46 cnf(i_0_2605, 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))). 3.26/3.46 cnf(i_0_3605, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~class_Orderings_Olinorder(X3)|~hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olinorder__class_Osort__key(X1,X3,X4,X2))))). 3.26/3.46 cnf(i_0_4462, 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)))). 3.26/3.46 cnf(i_0_1833, 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))))). 3.26/3.46 cnf(i_0_3806, 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)))))). 3.26/3.46 cnf(i_0_4666, plain, (X1=X2|hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)!=hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X1))). 3.26/3.46 cnf(i_0_4665, plain, (X1=X2|hAPP(hAPP(c_Product__Type_OPair(X3,X4),X1),X5)!=hAPP(hAPP(c_Product__Type_OPair(X3,X4),X2),X6))). 3.26/3.46 cnf(i_0_2557, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OatLeast(X4,X1,X2))))). 3.26/3.46 cnf(i_0_4653, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OgreaterThan(X4,X1,X2))))). 3.26/3.46 cnf(i_0_3745, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OlessThan(X4,X1,X3))))). 3.26/3.46 cnf(i_0_6344, 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))))). 3.26/3.46 cnf(i_0_654, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X3)=c_Orderings_Obot__class_Obot(X2)|~class_Orderings_Obot(X2))). 3.26/3.46 cnf(i_0_726, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,X2)),X3)=c_Orderings_Otop__class_Otop(X2)|~class_Orderings_Otop(X2))). 3.26/3.46 cnf(i_0_5348, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OatMost(X4,X1,X3))))). 3.26/3.46 cnf(i_0_5359, plain, (hBOOL(hAPP(c_List_Odistinct(X1),X2))|~hBOOL(hAPP(c_List_Odistinct(X3),hAPP(hAPP(c_List_Omap(X1,X3),X4),X2))))). 3.26/3.46 cnf(i_0_1477, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|X2=c_List_Olist_ONil(X3)|hAPP(hAPP(c_List_Otake(X3),X1),X2)!=c_List_Olist_ONil(X3))). 3.26/3.46 cnf(i_0_2181, plain, (X1=c_List_Olist_ONil(X2)|c_List_Olinorder__class_Osorted(X2,esk158_2(X1,X2))|~c_List_Olinorder__class_Osorted(X2,X1)|~class_Orderings_Olinorder(X2))). 3.26/3.46 cnf(i_0_3033, 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))))). 3.26/3.46 cnf(i_0_1026, 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)))). 3.26/3.46 cnf(i_0_4602, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=X2|~class_Groups_Ogroup__add(X1))). 3.26/3.46 cnf(i_0_6449, 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))). 3.26/3.46 cnf(i_0_6407, 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))). 3.26/3.46 cnf(i_0_2359, 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))). 3.26/3.46 cnf(i_0_1493, 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))). 3.26/3.46 cnf(i_0_6909, 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))))). 3.26/3.46 cnf(i_0_3443, 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)))). 3.26/3.46 cnf(i_0_2207, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|~class_Groups_Omonoid__mult(X1))). 3.26/3.46 cnf(i_0_1849, 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))). 3.26/3.46 cnf(i_0_2587, 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))). 3.26/3.46 cnf(i_0_4564, 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))). 3.26/3.46 cnf(i_0_6479, 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))). 3.26/3.46 cnf(i_0_5132, plain, (hBOOL(hAPP(X1,esk369_3(X2,X1,X3)))|~c_Enum_Oex__n__lists(X3,X1,X2)|~class_Enum_Oenum(X3))). 3.26/3.46 cnf(i_0_803, 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)))). 3.26/3.46 cnf(i_0_7162, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=X2|~class_Lattices_Oboolean__algebra(X1))). 3.26/3.46 cnf(i_0_5587, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ogroup__add(X1))). 3.26/3.46 cnf(i_0_4483, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.46 cnf(i_0_3374, 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)))). 3.26/3.46 cnf(i_0_57, 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))). 3.26/3.46 cnf(i_0_302, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Omonoid__add(X1))). 3.26/3.46 cnf(i_0_1356, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))). 3.26/3.46 cnf(i_0_2877, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1))=X2|~class_Lattices_Obounded__lattice__bot(X1))). 3.26/3.46 cnf(i_0_4416, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Omonoid__mult(X1))). 3.26/3.46 cnf(i_0_412, 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))). 3.26/3.46 cnf(i_0_2022, 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))). 3.26/3.46 cnf(i_0_2199, 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))). 3.26/3.46 cnf(i_0_3277, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Ocomm__monoid__mult(X1))). 3.26/3.46 cnf(i_0_2007, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))). 3.26/3.46 cnf(i_0_805, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Odivision__ring(X1))). 3.26/3.46 cnf(i_0_1888, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Divides_Osemiring__div(X1))). 3.26/3.46 cnf(i_0_7053, plain, (c_Relation_Orefl__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3))|~c_Relation_Orefl__on(X1,X2,X3))). 3.26/3.46 cnf(i_0_4168, plain, (c_Relation_Ototal__on(X1,X2,hAPP(c_Relation_Oconverse(X1,X1),X3))|~c_Relation_Ototal__on(X1,X2,X3))). 3.26/3.46 cnf(i_0_2804, 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)))). 3.26/3.46 cnf(i_0_5080, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1))=X2|~class_Lattices_Obounded__lattice__top(X1))). 3.26/3.46 cnf(i_0_6655, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.46 cnf(i_0_497, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Groups_Omonoid__add(X1))). 3.26/3.46 cnf(i_0_2115, plain, (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2)=X2|~class_Lattices_Obounded__lattice__bot(X1))). 3.26/3.46 cnf(i_0_37, plain, (hAPP(hAPP(X1,X2),X2)=X2|~c_Finite__Set_Ofolding__image__simple__idem(X3,X4,X1,X5,X6,X7))). 3.26/3.46 cnf(i_0_4940, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hAPP(hAPP(c_Equiv__Relations_Oquotient(X2),X1),X3)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_7402, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2)=X2|~class_Lattices_Obounded__lattice__top(X1))). 3.26/3.46 cnf(i_0_4716, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))). 3.26/3.46 cnf(i_0_6816, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Omonoid__mult(X1))). 3.26/3.46 cnf(i_0_1925, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Ocomm__monoid__mult(X1))). 3.26/3.46 cnf(i_0_4369, 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))))). 3.26/3.46 cnf(i_0_6862, 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))))). 3.26/3.46 cnf(i_0_6233, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))). 3.26/3.46 cnf(i_0_1077, 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)))). 3.26/3.46 cnf(i_0_679, 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))). 3.26/3.46 cnf(i_0_7045, plain, (c_Enum_On__lists(X1,X2,c_List_Olist_ONil(X1))=c_List_Olist_ONil(tc_List_Olist(X1))|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2)). 3.26/3.46 cnf(i_0_6527, 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))). 3.26/3.46 cnf(i_0_3078, plain, (c_Wellfounded_Owf(tc_List_Olist(X1),hAPP(c_List_Olexn(X1,X2),X3))|~c_Wellfounded_Owf(X1,X2))). 3.26/3.46 cnf(i_0_5214, 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)))). 3.26/3.46 cnf(i_0_5213, 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)))). 3.26/3.46 cnf(i_0_5884, 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)))). 3.26/3.46 cnf(i_0_6036, 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)))). 3.26/3.46 cnf(i_0_5315, plain, (hAPP(c_Nat_OSuc,X1)!=hAPP(c_Finite__Set_Ocard(X2),X3)|~hBOOL(hAPP(hAPP(c_member(X2),esk387_3(X1,X3,X2)),esk388_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_1115, 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)))). 3.26/3.46 cnf(i_0_402, 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)))). 3.26/3.46 cnf(i_0_1095, 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)))). 3.26/3.46 cnf(i_0_7502, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Equiv__Relations_Oequivp(X4,X1))). 3.26/3.46 cnf(i_0_409, 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))). 3.26/3.46 cnf(i_0_2883, 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))). 3.26/3.46 cnf(i_0_1534, 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)))). 3.26/3.46 cnf(i_0_1535, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|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)))). 3.26/3.46 cnf(i_0_4742, 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_Power_Opower(X2)|~class_Rings_Ozero__neq__one(X2)|~class_Rings_Omult__zero(X2)|~class_Rings_Ono__zero__divisors(X2))). 3.26/3.46 cnf(i_0_3721, plain, (hBOOL(hAPP(X1,esk269_2(X1,X2)))|~c_List_Olist__ex1(X2,X1,c_Enum_Oenum__class_Oenum(X2))|~class_Enum_Oenum(X2))). 3.26/3.46 cnf(i_0_1997, 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))). 3.26/3.46 cnf(i_0_525, 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))). 3.26/3.46 cnf(i_0_5601, 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))))). 3.26/3.46 cnf(i_0_6844, 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))))). 3.26/3.46 cnf(i_0_4604, 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))). 3.26/3.46 cnf(i_0_4388, 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))))). 3.26/3.46 cnf(i_0_3723, plain, (c_List_Olist__ex1(X1,X2,c_Enum_Oenum__class_Oenum(X1))|esk268_3(X2,X1,X3)!=X3|~class_Enum_Oenum(X1)|~hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_2646, 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)))). 3.26/3.46 cnf(i_0_7108, 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))). 3.26/3.46 cnf(i_0_2352, 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))))). 3.26/3.46 cnf(i_0_3238, 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))))). 3.26/3.46 cnf(i_0_6472, 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))))). 3.26/3.46 cnf(i_0_5936, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.46 cnf(i_0_3550, 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)))). 3.26/3.46 cnf(i_0_4957, 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))))). 3.26/3.46 cnf(i_0_3816, 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)))). 3.26/3.46 cnf(i_0_4613, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1))). 3.26/3.46 cnf(i_0_7501, plain, (c_Equiv__Relations_Oequivp(X1,X2)|hAPP(X2,esk533_1(X2))!=hAPP(X2,esk534_1(X2))|~hBOOL(hAPP(hAPP(X2,esk533_1(X2)),esk534_1(X2))))). 3.26/3.46 cnf(i_0_3029, plain, (c_List_Olist__ex(X1,X2,X3)|c_List_Olist__ex(X1,X2,X4)|~c_List_Olist__ex(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4)))). 3.26/3.46 cnf(i_0_3722, plain, (esk269_2(X1,X2)=X3|~c_List_Olist__ex1(X2,X1,c_Enum_Oenum__class_Oenum(X2))|~class_Enum_Oenum(X2)|~hBOOL(hAPP(X1,X3)))). 3.26/3.46 cnf(i_0_1677, 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)))). 3.26/3.46 cnf(i_0_5208, 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)))). 3.26/3.46 cnf(i_0_3788, 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)))). 3.26/3.46 cnf(i_0_6731, plain, (X1=c_List_Olist_ONil(X2)|hAPP(hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Orotate1(X2)),X1)!=c_List_Olist_ONil(X2))). 3.26/3.46 cnf(i_0_3256, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),c_List_OtakeWhile(X3,X1,X4)))))). 3.26/3.46 cnf(i_0_4465, 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)))). 3.26/3.46 cnf(i_0_4283, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|~c_List_Olist__all2(X1,X2,X3,hAPP(c_List_Orev(X1),X4),hAPP(c_List_Orev(X2),X5)))). 3.26/3.46 cnf(i_0_2190, 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))). 3.26/3.46 cnf(i_0_6190, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1))). 3.26/3.46 cnf(i_0_5194, 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))). 3.26/3.46 cnf(i_0_109, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ono__zero__divisors(X1))). 3.26/3.46 cnf(i_0_5598, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__no__zero__divisors(X1))). 3.26/3.46 cnf(i_0_4120, 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)))). 3.26/3.46 cnf(i_0_2503, 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)))). 3.26/3.46 cnf(i_0_3848, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))). 3.26/3.46 cnf(i_0_374, plain, (X1=X2|c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1)!=hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))|~class_Orderings_Oorder(X3))). 3.26/3.46 cnf(i_0_375, plain, (X1=X2|c_SetInterval_Oord__class_OatLeastAtMost(X3,X1,X2)!=hAPP(hAPP(c_Set_Oinsert(X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))|~class_Orderings_Oorder(X3))). 3.26/3.46 cnf(i_0_2460, 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)))). 3.26/3.46 cnf(i_0_1672, plain, (hAPP(c_List_Oset(X1),esk119_2(X2,X1))=X2|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.46 cnf(i_0_3248, plain, (hAPP(c_Int_ORep__Integ,esk234_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)))). 3.26/3.46 cnf(i_0_1459, plain, (hBOOL(hAPP(c_Predicate_ODomainP(X1,X2,X3),X4))|~hBOOL(hAPP(hAPP(X3,X4),X5)))). 3.26/3.46 cnf(i_0_5118, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|c_Groups_Ozero__class_Ozero(X1)=X2|~class_Divides_Osemiring__div(X1))). 3.26/3.46 cnf(i_0_3077, 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))))). 3.26/3.46 cnf(i_0_2082, 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))). 3.26/3.46 cnf(i_0_1443, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1)))). 3.26/3.46 cnf(i_0_1123, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X4,X1,X2,X5))))). 3.26/3.46 cnf(i_0_6158, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OgreaterThanLessThan(X4,X1,X2,X5))))). 3.26/3.46 cnf(i_0_2603, plain, (hBOOL(hAPP(c_Predicate_ORangeP(X1,X2,X3),X4))|~hBOOL(hAPP(hAPP(X3,X5),X4)))). 3.26/3.46 cnf(i_0_2345, 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))))). 3.26/3.46 cnf(i_0_6908, 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))))). 3.26/3.46 cnf(i_0_336, 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))). 3.26/3.46 cnf(i_0_1124, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X4,X1,X5,X3))))). 3.26/3.46 cnf(i_0_6157, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OgreaterThanLessThan(X4,X1,X5,X3))))). 3.26/3.46 cnf(i_0_388, 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))). 3.26/3.46 cnf(i_0_4431, 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)))). 3.26/3.46 cnf(i_0_5066, 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))). 3.26/3.46 cnf(i_0_2693, 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))). 3.26/3.46 cnf(i_0_311, 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)))). 3.26/3.46 cnf(i_0_4989, 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)))). 3.26/3.46 cnf(i_0_4990, 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)))). 3.26/3.46 cnf(i_0_2694, plain, (c_List_Olist__ex(X1,X2,X3)|hBOOL(hAPP(X2,X4))|~c_List_Olist__ex(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3)))). 3.26/3.46 cnf(i_0_2546, 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))). 3.26/3.46 cnf(i_0_1752, 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))). 3.26/3.46 cnf(i_0_965, 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))). 3.26/3.46 cnf(i_0_6258, plain, (c_List_Olist__ex1(X1,X2,X3)|hBOOL(hAPP(X2,X4))|~c_List_Olist__ex1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3)))). 3.26/3.46 cnf(i_0_3740, 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))))))). 3.26/3.46 cnf(i_0_3190, 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))). 3.26/3.46 cnf(i_0_3513, 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)))). 3.26/3.46 cnf(i_0_2459, 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)))). 3.26/3.46 cnf(i_0_7297, 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))). 3.26/3.46 cnf(i_0_7346, 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))). 3.26/3.46 cnf(i_0_2377, 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)))). 3.26/3.46 cnf(i_0_3510, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)))|~hBOOL(hAPP(X1,esk254_3(X3,X2,X1)))|~hBOOL(hAPP(X1,X2)))). 3.26/3.46 cnf(i_0_5682, 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))). 3.26/3.46 cnf(i_0_1673, plain, (hBOOL(hAPP(c_List_Odistinct(X1),esk119_2(X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.46 cnf(i_0_5190, 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)))). 3.26/3.46 cnf(i_0_5179, 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))). 3.26/3.46 cnf(i_0_2745, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X3,X2),tc_HOL_Obool))!=c_Sum__Type_OPlus(X3,X2,X4,X1))). 3.26/3.46 cnf(i_0_2744, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Orderings_Obot__class_Obot(tc_fun(tc_sum(X1,X3),tc_HOL_Obool))!=c_Sum__Type_OPlus(X1,X3,X2,X4))). 3.26/3.46 cnf(i_0_5915, 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))). 3.26/3.46 cnf(i_0_7163, 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))). 3.26/3.46 cnf(i_0_6573, 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))). 3.26/3.46 cnf(i_0_2568, 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)))). 3.26/3.46 cnf(i_0_91, 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))). 3.26/3.46 cnf(i_0_7056, 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))). 3.26/3.46 cnf(i_0_7225, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))|~hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X4),X3))))). 3.26/3.46 cnf(i_0_7226, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))|~hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))))). 3.26/3.46 cnf(i_0_6293, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))|~hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))))). 3.26/3.46 cnf(i_0_1676, 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))). 3.26/3.46 cnf(i_0_6322, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Equiv__Relations_Oequivp(X4,X1)|~hBOOL(hAPP(hAPP(X1,X3),X2)))). 3.26/3.46 cnf(i_0_3850, 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))))). 3.26/3.46 cnf(i_0_7407, 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)))). 3.26/3.46 cnf(i_0_5526, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Osublist(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.46 cnf(i_0_1464, 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)))). 3.26/3.46 cnf(i_0_1083, 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))). 3.26/3.46 cnf(i_0_2469, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.46 cnf(i_0_1276, 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)))). 3.26/3.46 cnf(i_0_1236, 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)))). 3.26/3.46 cnf(i_0_1739, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Oremove1(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_3538, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Oinsert(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_1783, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_OtakeWhile(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_5704, 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)))). 3.26/3.46 cnf(i_0_4901, 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))). 3.26/3.46 cnf(i_0_4183, 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)))). 3.26/3.46 cnf(i_0_6794, 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)))). 3.26/3.46 cnf(i_0_5282, 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)))). 3.26/3.46 cnf(i_0_4477, plain, (hBOOL(hAPP(X1,X2))|hAPP(c_List_Ofilter(X3,X1),X4)!=hAPP(hAPP(c_List_Olist_OCons(X3),X2),X5))). 3.26/3.46 cnf(i_0_1180, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~c_Wellfounded_Owf(X1,X3))). 3.26/3.46 cnf(i_0_2747, 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))). 3.26/3.46 cnf(i_0_1921, 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))). 3.26/3.46 cnf(i_0_6823, 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)))). 3.26/3.46 cnf(i_0_2859, 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))))). 3.26/3.46 cnf(i_0_3246, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Oinv__image(X2,X1),X3),X4))|~c_Wellfounded_Owf(X2,X3))). 3.26/3.46 cnf(i_0_3861, plain, (c_FunDef_Oreduction__pair(X1,hAPP(hAPP(c_FunDef_Orp__inv__image(X2,X1),X3),X4))|~c_FunDef_Oreduction__pair(X2,X3))). 3.26/3.46 cnf(i_0_3350, 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))). 3.26/3.46 cnf(i_0_3349, 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))). 3.26/3.46 cnf(i_0_3597, 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)))). 3.26/3.46 cnf(i_0_1989, plain, (hBOOL(hAPP(X1,c_Hilbert__Choice_OLeastM(X2,tc_Nat_Onat,X3,X1)))|~hBOOL(hAPP(X1,X4)))). 3.26/3.46 cnf(i_0_5597, 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))). 3.26/3.46 cnf(i_0_3351, 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))). 3.26/3.46 cnf(i_0_6227, 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))). 3.26/3.46 cnf(i_0_376, 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))). 3.26/3.46 cnf(i_0_4566, 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)))). 3.26/3.46 cnf(i_0_5729, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofilter(X1,X2),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_5596, 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))). 3.26/3.46 cnf(i_0_6303, plain, (c_List_Oinsert(X1,X2,X3)=X3|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_105, 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)))). 3.26/3.46 cnf(i_0_7203, 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))))). 3.26/3.46 cnf(i_0_7202, 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))))). 3.26/3.46 cnf(i_0_6781, 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))). 3.26/3.46 cnf(i_0_1067, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X4,X1,X5,X2,X6))))). 3.26/3.46 cnf(i_0_6605, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_SetInterval_Oord_OgreaterThanAtMost(X4,X5,X1,X2,X6))))). 3.26/3.46 cnf(i_0_4405, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X3,X5),X4)))). 3.26/3.46 cnf(i_0_2037, 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))). 3.26/3.46 cnf(i_0_1066, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X4,X5,X1,X6,X3))))). 3.26/3.46 cnf(i_0_6604, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(X4),X2),c_SetInterval_Oord_OgreaterThanAtMost(X4,X1,X5,X6,X3))))). 3.26/3.46 cnf(i_0_6814, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk478_1(X1)))|~hBOOL(hAPP(X1,X2)))). 3.26/3.46 cnf(i_0_4936, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X3),X3))|hBOOL(hAPP(X1,X3)))). 3.26/3.46 cnf(i_0_3851, 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)))). 3.26/3.46 cnf(i_0_4785, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_2, 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))))). 3.26/3.46 cnf(i_0_1430, plain, (~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_5946, 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)))). 3.26/3.46 cnf(i_0_3198, 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))))). 3.26/3.46 cnf(i_0_1307, 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)))). 3.26/3.46 cnf(i_0_1523, 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))))). 3.26/3.46 cnf(i_0_5985, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X4)|~c_List_Olist__all2(X1,X3,X5,X2,X4))). 3.26/3.46 cnf(i_0_4588, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X3,X4)),X1),X5),X2)))). 3.26/3.46 cnf(i_0_6812, plain, (hBOOL(hAPP(X1,esk479_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))))). 3.26/3.46 cnf(i_0_4892, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_2787, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_4173, 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))). 3.26/3.46 cnf(i_0_220, 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))). 3.26/3.46 cnf(i_0_4720, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Otake(X1),X2),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_2669, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(hAPP(c_List_Odrop(X1),X2),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_5225, 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,esk379_1(X1))))). 3.26/3.46 cnf(i_0_1820, plain, (c_List_Olast(X1,hAPP(c_List_Orev(X1),X2))=hAPP(c_List_Ohd(X1),X2)|X2=c_List_Olist_ONil(X1))). 3.26/3.46 cnf(i_0_794, 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))). 3.26/3.46 cnf(i_0_3028, plain, (c_List_Olist__ex(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))|~c_List_Olist__ex(X1,X2,X4))). 3.26/3.46 cnf(i_0_3027, plain, (c_List_Olist__ex(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))|~c_List_Olist__ex(X1,X2,X3))). 3.26/3.46 cnf(i_0_2695, plain, (c_List_Olist__ex(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|~c_List_Olist__ex(X1,X2,X4))). 3.26/3.46 cnf(i_0_6008, 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))))). 3.26/3.46 cnf(i_0_3239, 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))))). 3.26/3.46 cnf(i_0_1370, 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))))). 3.26/3.46 cnf(i_0_2232, 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))))). 3.26/3.46 cnf(i_0_2187, 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))))). 3.26/3.46 cnf(i_0_4764, 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)))). 3.26/3.46 cnf(i_0_1299, 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)))). 3.26/3.46 cnf(i_0_4217, 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)))). 3.26/3.46 cnf(i_0_3403, 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))))). 3.26/3.46 cnf(i_0_5222, 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))))). 3.26/3.46 cnf(i_0_3096, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))))). 3.26/3.46 cnf(i_0_6542, 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)))). 3.26/3.46 cnf(i_0_2547, 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))). 3.26/3.46 cnf(i_0_3996, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|c_Groups_Oone__class_Oone(tc_Nat_Onat)=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=X1)). 3.26/3.46 cnf(i_0_5308, 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))). 3.26/3.46 cnf(i_0_3160, 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))))). 3.26/3.46 cnf(i_0_5828, 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))))). 3.26/3.46 cnf(i_0_6398, 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)))))). 3.26/3.46 cnf(i_0_6522, 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)))))). 3.26/3.46 cnf(i_0_2333, plain, (hAPP(c_List_Ohd(X1),hAPP(c_List_Orev(X1),X2))=c_List_Olast(X1,X2)|c_List_Olist_ONil(X1)=X2)). 3.26/3.46 cnf(i_0_809, plain, (~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),esk59_3(X3,X2,X1))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_5376, plain, (~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),esk392_3(X3,X2,X1))))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_6183, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X2),X1)),c_Relation_OId__on(X3,X4))))). 3.26/3.46 cnf(i_0_4461, 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))))). 3.26/3.46 cnf(i_0_3108, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_7062, 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)))). 3.26/3.46 cnf(i_0_5371, 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)))). 3.26/3.46 cnf(i_0_2696, plain, (c_List_Olist__ex(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|~hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_7034, 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))). 3.26/3.46 cnf(i_0_826, 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)))). 3.26/3.46 cnf(i_0_3980, 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)))). 3.26/3.46 cnf(i_0_7012, 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)))))). 3.26/3.46 cnf(i_0_4230, 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))))). 3.26/3.46 cnf(i_0_4231, 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))))). 3.26/3.46 cnf(i_0_5633, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))). 3.26/3.46 cnf(i_0_1996, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)=X3|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))). 3.26/3.46 cnf(i_0_63, 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)))). 3.26/3.46 cnf(i_0_3450, 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))))). 3.26/3.46 cnf(i_0_1380, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,esk98_2(X1,X3))))). 3.26/3.46 cnf(i_0_2616, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,esk183_2(X1,X3))))). 3.26/3.46 cnf(i_0_6394, 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))). 3.26/3.46 cnf(i_0_4522, 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)))). 3.26/3.46 cnf(i_0_2455, 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))). 3.26/3.46 cnf(i_0_1315, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),X4))|~hBOOL(hAPP(c_Predicate_OPowp(X3,X1),X4)))). 3.26/3.46 cnf(i_0_4340, 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)))). 3.26/3.46 cnf(i_0_6188, 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))). 3.26/3.46 cnf(i_0_6555, 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)))). 3.26/3.46 cnf(i_0_1326, 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))). 3.26/3.46 cnf(i_0_5047, 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))). 3.26/3.46 cnf(i_0_2078, 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))))). 3.26/3.46 cnf(i_0_3216, 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))))). 3.26/3.46 cnf(i_0_6435, 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))))). 3.26/3.46 cnf(i_0_7004, 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)))). 3.26/3.46 cnf(i_0_4805, 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)))). 3.26/3.46 cnf(i_0_5700, 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))))). 3.26/3.46 cnf(i_0_2191, 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)))). 3.26/3.46 cnf(i_0_5247, 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)))). 3.26/3.46 cnf(i_0_5317, plain, (esk388_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))). 3.26/3.46 cnf(i_0_2966, 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)))). 3.26/3.46 cnf(i_0_918, 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)))). 3.26/3.46 cnf(i_0_149, 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)))). 3.26/3.46 cnf(i_0_3758, 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)))). 3.26/3.46 cnf(i_0_3640, 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)))). 3.26/3.46 cnf(i_0_4639, 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)))). 3.26/3.46 cnf(i_0_4397, 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)))). 3.26/3.46 cnf(i_0_5316, plain, (hAPP(c_Finite__Set_Ocard(X1),esk388_3(X2,X3,X1))=X2|hAPP(c_Nat_OSuc,X2)!=hAPP(c_Finite__Set_Ocard(X1),X3))). 3.26/3.46 cnf(i_0_6033, 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)))). 3.26/3.46 cnf(i_0_7427, 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)))). 3.26/3.46 cnf(i_0_2627, 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))))). 3.26/3.46 cnf(i_0_1208, 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))))). 3.26/3.46 cnf(i_0_1839, 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)). 3.26/3.46 cnf(i_0_1969, 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)))))). 3.26/3.46 cnf(i_0_6009, 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)))). 3.26/3.46 cnf(i_0_1942, 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))). 3.26/3.46 cnf(i_0_6489, 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))). 3.26/3.46 cnf(i_0_998, 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)))). 3.26/3.46 cnf(i_0_1264, plain, (c_Wellfounded_Owf(X1,hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),X2))|~c_Wellfounded_Owf(X1,X2))). 3.26/3.46 cnf(i_0_979, 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))). 3.26/3.46 cnf(i_0_6638, 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))). 3.26/3.46 cnf(i_0_796, 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)))). 3.26/3.46 cnf(i_0_6237, 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)))). 3.26/3.46 cnf(i_0_6643, 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)))). 3.26/3.46 cnf(i_0_5121, 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)))). 3.26/3.46 cnf(i_0_352, 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)))). 3.26/3.46 cnf(i_0_1183, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),c_Enum_Oenum__class_Oenum(X1))))|~class_Enum_Oenum(X1))). 3.26/3.46 cnf(i_0_18, 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))). 3.26/3.46 cnf(i_0_964, 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))). 3.26/3.46 cnf(i_0_2544, 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))). 3.26/3.46 cnf(i_0_7428, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=c_List_Olist_ONil(X1)|hBOOL(hAPP(X2,esk522_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_954, 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)). 3.26/3.46 cnf(i_0_5493, 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))). 3.26/3.46 cnf(i_0_3869, 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)))). 3.26/3.46 cnf(i_0_2112, 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))). 3.26/3.46 cnf(i_0_855, 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),esk68_2(X3,X1)))|~hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,X2)))). 3.26/3.46 cnf(i_0_5952, 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)|esk433_2(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.46 cnf(i_0_2935, 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))). 3.26/3.46 cnf(i_0_4829, 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))). 3.26/3.46 cnf(i_0_2519, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))). 3.26/3.46 cnf(i_0_143, plain, (c_List_Oremove1(X1,X2,c_List_Oremdups(X1,X3))=c_List_Oremdups(X1,c_List_Oremove1(X1,X2,X3))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_3783, plain, (c_Enum_Oproduct(X1,X2,c_Enum_Oenum__class_Oenum(X1),c_Enum_Oenum__class_Oenum(X2))=c_Enum_Oenum__class_Oenum(tc_prod(X1,X2))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1))). 3.26/3.46 cnf(i_0_3514, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X1)))|~hBOOL(hAPP(X2,esk254_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_4526, 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))). 3.26/3.46 cnf(i_0_4914, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))|~hBOOL(hAPP(X2,X4)))). 3.26/3.46 cnf(i_0_4834, 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))). 3.26/3.46 cnf(i_0_2243, 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))). 3.26/3.46 cnf(i_0_3393, 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)))). 3.26/3.46 cnf(i_0_4147, 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)))). 3.26/3.46 cnf(i_0_1938, 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))). 3.26/3.46 cnf(i_0_4430, 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))). 3.26/3.46 cnf(i_0_2433, 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)))). 3.26/3.46 cnf(i_0_3993, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk294_1(X1))))). 3.26/3.46 cnf(i_0_5892, plain, (c_List_Olist__ex(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.46 cnf(i_0_403, plain, (hAPP(c_Map_Orestrict__map(X1,X2,X3,X4),X5)=hAPP(X3,X5)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 3.26/3.46 cnf(i_0_4671, 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)))). 3.26/3.46 cnf(i_0_4302, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk311_1(X1))))). 3.26/3.46 cnf(i_0_4792, 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)))). 3.26/3.46 cnf(i_0_6845, 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)))). 3.26/3.46 cnf(i_0_1630, 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)))). 3.26/3.46 cnf(i_0_4223, 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)))). 3.26/3.46 cnf(i_0_3377, plain, (hAPP(c_List_Oset(X1),c_List_Olinorder__class_Osort__key(X1,X2,X3,X4))=hAPP(c_List_Oset(X1),X4)|~class_Orderings_Olinorder(X2))). 3.26/3.46 cnf(i_0_1242, 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))))). 3.26/3.46 cnf(i_0_1696, 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))))). 3.26/3.46 cnf(i_0_5600, 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)))). 3.26/3.46 cnf(i_0_4958, 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)))). 3.26/3.46 cnf(i_0_4352, plain, (c_List_Oremdups(X1,X2)=X2|hAPP(c_Finite__Set_Ocard(X1),hAPP(c_List_Oset(X1),X2))!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))). 3.26/3.46 cnf(i_0_4941, plain, (hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),c_Enum_On__lists(X1,X2,X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_6249, 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)))). 3.26/3.46 cnf(i_0_6350, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|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),X2),X1))). 3.26/3.46 cnf(i_0_6471, 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)))). 3.26/3.46 cnf(i_0_3487, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk250_2(X1,X2)),X1))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)))). 3.26/3.46 cnf(i_0_5440, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk393_2(X1,X2)),X1))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)))). 3.26/3.46 cnf(i_0_5166, plain, (c_Nitpick_Ounknown(tc_HOL_Obool)|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(X1,X1)),X2))|~c_Nitpick_Owf_H(X1,X2))). 3.26/3.46 cnf(i_0_649, 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)))). 3.26/3.46 cnf(i_0_792, plain, (hBOOL(hAPP(X1,X2))|~c_List_Olist__all(X3,X1,X4)|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 3.26/3.46 cnf(i_0_3024, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|~class_Power_Opower(X1)|~class_Rings_Osemiring__0(X1))). 3.26/3.46 cnf(i_0_6087, 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)))). 3.26/3.46 cnf(i_0_1259, 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)))). 3.26/3.46 cnf(i_0_2149, 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))))). 3.26/3.46 cnf(i_0_3599, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(X1,esk261_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 3.26/3.46 cnf(i_0_5818, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(X1,esk424_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 3.26/3.46 cnf(i_0_3797, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(X1,esk276_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))). 3.26/3.46 cnf(i_0_5608, 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))))). 3.26/3.46 cnf(i_0_3901, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Big__Operators_Olattice__class_OSup__fin(X1,X2)=c_Complete__Lattice_OSup__class_OSup(X1,X2)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.46 cnf(i_0_752, 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)))). 3.26/3.46 cnf(i_0_4646, 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))))). 3.26/3.46 cnf(i_0_5260, 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)))))). 3.26/3.46 cnf(i_0_3738, 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)))))). 3.26/3.46 cnf(i_0_3525, 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))))). 3.26/3.46 cnf(i_0_997, 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))))). 3.26/3.46 cnf(i_0_1620, 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)))). 3.26/3.46 cnf(i_0_492, 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))))). 3.26/3.46 cnf(i_0_2253, 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))). 3.26/3.46 cnf(i_0_3224, 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)))). 3.26/3.46 cnf(i_0_2070, 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))))). 3.26/3.46 cnf(i_0_5386, 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)). 3.26/3.46 cnf(i_0_4338, 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))))). 3.26/3.46 cnf(i_0_6881, 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)))). 3.26/3.46 cnf(i_0_5227, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk378_1(X1)))|hBOOL(hAPP(X1,X2)))). 3.26/3.46 cnf(i_0_3335, 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))). 3.26/3.46 cnf(i_0_747, plain, (c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~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))). 3.26/3.46 cnf(i_0_5345, 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,esk389_2(X1,X2)))))). 3.26/3.46 cnf(i_0_877, 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)))). 3.26/3.46 cnf(i_0_6020, plain, (X1=c_List_Olist_ONil(X2)|c_List_Otranspose(X2,X3)!=c_List_Olist_ONil(tc_List_Olist(X2))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X1),hAPP(c_List_Oset(tc_List_Olist(X2)),X3))))). 3.26/3.46 cnf(i_0_6092, plain, (X1=c_List_Olist_ONil(X2)|hBOOL(hAPP(c_List_Odistinct(X2),c_List_Obutlast(X2,X1)))|~hBOOL(hAPP(c_List_Odistinct(X2),X1)))). 3.26/3.46 cnf(i_0_2716, 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,esk192_2(X1,X2))))). 3.26/3.46 cnf(i_0_3110, 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))). 3.26/3.46 cnf(i_0_4020, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)|~class_Groups_Ogroup__add(X1))). 3.26/3.46 cnf(i_0_4127, plain, (c_List_Olist__all(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))|~c_List_Olist__all(X1,X2,X3)|~c_List_Olist__all(X1,X2,X4))). 3.26/3.46 cnf(i_0_3756, plain, (c_List_OtakeWhile(X1,X2,X3)=hAPP(c_List_Ofilter(X1,X2),X3)|hBOOL(hAPP(X2,esk270_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_3606, plain, (hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olinorder__class_Osort__key(X1,X2,X3,X4)))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(c_List_Odistinct(X1),X4)))). 3.26/3.46 cnf(i_0_2863, 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)))). 3.26/3.46 cnf(i_0_1250, plain, (hAPP(hAPP(c_List_Onth(X1),X2),X3)=X4|hAPP(hAPP(c_List_Odrop(X1),X3),X2)!=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))). 3.26/3.46 cnf(i_0_7082, 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))))). 3.26/3.46 cnf(i_0_5405, 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))). 3.26/3.46 cnf(i_0_1222, plain, (hBOOL(hAPP(X1,esk92_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(X1,X3)))). 3.26/3.46 cnf(i_0_4096, plain, (hBOOL(hAPP(X1,esk299_2(X1,X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(X1,X3)))). 3.26/3.46 cnf(i_0_7095, 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))). 3.26/3.46 cnf(i_0_7179, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|~c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X6),X4),hAPP(hAPP(c_List_Olist_OCons(X2),X7),X5)))). 3.26/3.46 cnf(i_0_6809, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk477_2(X1,X2))=X2|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.46 cnf(i_0_1020, 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)))). 3.26/3.46 cnf(i_0_7511, 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)))). 3.26/3.46 cnf(i_0_5632, 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))). 3.26/3.46 cnf(i_0_7460, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk525_2(X1,X2))=X2|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.46 cnf(i_0_1852, 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))). 3.26/3.46 cnf(i_0_5389, 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))). 3.26/3.46 cnf(i_0_4023, 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)))). 3.26/3.46 cnf(i_0_5972, 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)))). 3.26/3.46 cnf(i_0_5129, 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)))). 3.26/3.46 cnf(i_0_3626, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk263_1(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 3.26/3.46 cnf(i_0_2516, 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))). 3.26/3.46 cnf(i_0_6600, 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))). 3.26/3.46 cnf(i_0_1698, plain, (c_List_Olist__all(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|~c_List_Olist__all(X1,X2,X4)|~hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_5438, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),esk394_1(X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2)))). 3.26/3.46 cnf(i_0_3485, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk251_1(X2)))|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2)))). 3.26/3.46 cnf(i_0_1855, 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),esk139_3(X3,X1,X2))))). 3.26/3.46 cnf(i_0_7393, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=X1|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))). 3.26/3.46 cnf(i_0_1796, 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))))). 3.26/3.46 cnf(i_0_6327, 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)))). 3.26/3.46 cnf(i_0_2179, 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),esk160_4(hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),X1,X3,X2))))). 3.26/3.46 cnf(i_0_6310, 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))))). 3.26/3.46 cnf(i_0_5845, 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))). 3.26/3.46 cnf(i_0_3545, 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))). 3.26/3.46 cnf(i_0_1624, 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))). 3.26/3.46 cnf(i_0_1078, 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)))). 3.26/3.46 cnf(i_0_4334, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk313_2(X2,X1))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2)))). 3.26/3.46 cnf(i_0_2285, 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)))). 3.26/3.46 cnf(i_0_2770, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.46 cnf(i_0_760, 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))). 3.26/3.46 cnf(i_0_5627, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))=c_List_Olast(X1,X3)|c_List_Olist_ONil(X1)=X3)). 3.26/3.46 cnf(i_0_1458, plain, (hBOOL(hAPP(hAPP(X1,X2),esk102_2(X2,X1)))|~hBOOL(hAPP(c_Predicate_ODomainP(X3,X4,X1),X2)))). 3.26/3.46 cnf(i_0_2602, plain, (hBOOL(hAPP(hAPP(X1,esk180_2(X2,X1)),X2))|~hBOOL(hAPP(c_Predicate_ORangeP(X3,X4,X1),X2)))). 3.26/3.46 cnf(i_0_4804, 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)))). 3.26/3.46 cnf(i_0_4744, 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))). 3.26/3.46 cnf(i_0_5512, 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)))). 3.26/3.46 cnf(i_0_3674, 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)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X2)). 3.26/3.46 cnf(i_0_2592, 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)). 3.26/3.46 cnf(i_0_4692, 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)))). 3.26/3.46 cnf(i_0_4062, 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)),X2),X1)))). 3.26/3.46 cnf(i_0_3903, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk282_4(X1,X3,X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X5),X2),X4)))). 3.26/3.46 cnf(i_0_3902, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk282_4(X1,X3,X4,X5)))|~hBOOL(hAPP(hAPP(c_member(X5),X2),X3)))). 3.26/3.46 cnf(i_0_2556, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatLeast(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X4),X2)))). 3.26/3.46 cnf(i_0_4652, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OgreaterThan(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X4),X2)))). 3.26/3.46 cnf(i_0_3746, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))). 3.26/3.46 cnf(i_0_4089, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))). 3.26/3.46 cnf(i_0_3712, 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,esk267_3(X2,X3,X1))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_3135, 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,esk232_3(X2,X3,X1))!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_781, 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))). 3.26/3.46 cnf(i_0_5347, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatMost(X1,X3,X4)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))). 3.26/3.46 cnf(i_0_2641, plain, (hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X2,X4),X5))|~hBOOL(hAPP(X3,X5)))). 3.26/3.46 cnf(i_0_6586, 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))))). 3.26/3.46 cnf(i_0_6585, 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))))). 3.26/3.46 cnf(i_0_7268, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|X2=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))). 3.26/3.46 cnf(i_0_5926, 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))). 3.26/3.46 cnf(i_0_4751, 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))))). 3.26/3.46 cnf(i_0_5690, 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))))). 3.26/3.46 cnf(i_0_3100, 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)))))). 3.26/3.46 cnf(i_0_1446, 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))))). 3.26/3.46 cnf(i_0_1447, 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))))). 3.26/3.46 cnf(i_0_7267, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))|X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)!=c_Groups_Oone__class_Oone(tc_Int_Oint))). 3.26/3.46 cnf(i_0_788, 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(X1,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 3.26/3.46 cnf(i_0_4663, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|c_Groups_Oone__class_Oone(tc_Int_Oint)=X2|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X1,X1),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3))))). 3.26/3.46 cnf(i_0_5783, 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))))). 3.26/3.46 cnf(i_0_6596, plain, (c_Nitpick_Orefl_H(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk468_2(X2,X1)),esk468_2(X2,X1))),X2)))). 3.26/3.46 cnf(i_0_3495, 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)))). 3.26/3.46 cnf(i_0_3494, 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)))). 3.26/3.46 cnf(i_0_1233, 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)))). 3.26/3.46 cnf(i_0_7269, 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))). 3.26/3.46 cnf(i_0_4685, 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))))). 3.26/3.46 cnf(i_0_5437, 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))))). 3.26/3.46 cnf(i_0_385, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,esk23_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)))). 3.26/3.46 cnf(i_0_2628, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=c_Option_Ooption_ONone(X2)|c_Option_Ooption_ONone(X2)!=hAPP(X4,X5)|hAPP(X3,X5)!=c_Option_Ooption_ONone(X2))). 3.26/3.46 cnf(i_0_1234, 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)))). 3.26/3.46 cnf(i_0_6727, 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))). 3.26/3.46 cnf(i_0_6090, 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))). 3.26/3.46 cnf(i_0_5207, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(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),X3),X4))))). 3.26/3.46 cnf(i_0_4185, 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)))). 3.26/3.46 cnf(i_0_2525, plain, (hAPP(c_Nat_OSuc,esk176_4(X1,X2,X3,X4))=X2|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,X4)),X3),X2),X1)))). 3.26/3.46 cnf(i_0_1358, 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))). 3.26/3.46 cnf(i_0_6450, 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))). 3.26/3.46 cnf(i_0_3413, 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))). 3.26/3.46 cnf(i_0_5607, 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))). 3.26/3.46 cnf(i_0_4442, 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))). 3.26/3.46 cnf(i_0_4615, 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))). 3.26/3.46 cnf(i_0_2421, 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)))). 3.26/3.46 cnf(i_0_2096, plain, (hAPP(c_Fun_Ooverride__on(X1,X2,X3,X4,X5),X6)=hAPP(X4,X6)|~hBOOL(hAPP(hAPP(c_member(X1),X6),X5)))). 3.26/3.46 cnf(i_0_815, 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))). 3.26/3.46 cnf(i_0_2044, 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))). 3.26/3.46 cnf(i_0_2210, 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))). 3.26/3.46 cnf(i_0_3411, 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))). 3.26/3.46 cnf(i_0_4741, 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_Ozero__neq__one(X1)|~class_Rings_Omult__zero(X1)|~class_Rings_Ono__zero__divisors(X1))). 3.26/3.46 cnf(i_0_2202, 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))). 3.26/3.46 cnf(i_0_5248, 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))). 3.26/3.46 cnf(i_0_1486, 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))). 3.26/3.46 cnf(i_0_5702, 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))). 3.26/3.46 cnf(i_0_4570, 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)))). 3.26/3.46 cnf(i_0_1721, plain, (X1=hAPP(hAPP(c_List_Olist_OCons(X2),X3),c_List_Olist_ONil(X2))|hAPP(hAPP(c_List_Olist_OCons(X2),X3),c_List_Olist_ONil(X2))!=hAPP(c_List_Orev(X2),X1))). 3.26/3.46 cnf(i_0_6905, plain, (c_List_Olist__ex1(X1,X2,X3)|esk490_4(X3,X2,X1,X4)!=X4|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.46 cnf(i_0_235, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),X1),X2))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),X1),X2)))). 3.26/3.46 cnf(i_0_3636, 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))))). 3.26/3.46 cnf(i_0_1360, 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)))). 3.26/3.46 cnf(i_0_2219, 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)))). 3.26/3.46 cnf(i_0_6296, 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),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))))). 3.26/3.46 cnf(i_0_1608, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),X3),X4),X3))|hBOOL(hAPP(X1,X3)))). 3.26/3.46 cnf(i_0_6297, 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)))))). 3.26/3.46 cnf(i_0_3373, 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)))). 3.26/3.46 cnf(i_0_5863, 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))). 3.26/3.46 cnf(i_0_1252, 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)))). 3.26/3.46 cnf(i_0_5142, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),hAPP(c_Nat_OSuc,X3)),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),X4)))). 3.26/3.46 cnf(i_0_3801, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X3),X1)))|~hBOOL(hAPP(X2,esk276_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_3315, 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)))). 3.26/3.46 cnf(i_0_1647, 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))))). 3.26/3.46 cnf(i_0_3462, 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))))). 3.26/3.46 cnf(i_0_6319, 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))))). 3.26/3.46 cnf(i_0_4202, 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)))). 3.26/3.46 cnf(i_0_342, 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)))). 3.26/3.46 cnf(i_0_904, plain, (hAPP(c_Nat_OSuc,esk72_2(X1,X2))=X2|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,X1))))). 3.26/3.46 cnf(i_0_4140, 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))))). 3.26/3.46 cnf(i_0_632, 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))))). 3.26/3.46 cnf(i_0_1398, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),esk99_2(X1,X2)),X1)))). 3.26/3.46 cnf(i_0_292, plain, (hBOOL(hAPP(hAPP(X1,esk20_3(X2,X1,X3)),X2))|hBOOL(hAPP(c_Wellfounded_Oaccp(X3,X1),X2)))). 3.26/3.46 cnf(i_0_6086, plain, (hBOOL(hAPP(hAPP(X1,esk440_3(X2,X1,X3)),X2))|hBOOL(hAPP(c_Wellfounded_Oaccp(X3,X1),X2)))). 3.26/3.46 cnf(i_0_2792, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),esk205_2(X1,X2)),X1)))). 3.26/3.46 cnf(i_0_7289, 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)))). 3.26/3.46 cnf(i_0_5139, 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)))). 3.26/3.46 cnf(i_0_1705, 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),esk121_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_3012, 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)))). 3.26/3.46 cnf(i_0_3489, 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)))). 3.26/3.46 cnf(i_0_1545, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(X1,esk110_3(X3,X2,X1)))|~hBOOL(hAPP(X1,esk112_3(X3,X2,X1)))|~hBOOL(hAPP(X1,X2)))). 3.26/3.46 cnf(i_0_5859, 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),esk426_3(X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_3651, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4))|~c_Typedef_Otype__definition(X5,X1,X2,X6,X4))). 3.26/3.46 cnf(i_0_7180, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_List_Olist__all2(X4,X5,X1,hAPP(hAPP(c_List_Olist_OCons(X4),X2),X6),hAPP(hAPP(c_List_Olist_OCons(X5),X3),X7)))). 3.26/3.46 cnf(i_0_398, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk26_1(X1)))|~hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 3.26/3.46 cnf(i_0_4487, 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))). 3.26/3.46 cnf(i_0_3186, 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))). 3.26/3.46 cnf(i_0_460, 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))))). 3.26/3.46 cnf(i_0_3448, 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))). 3.26/3.46 cnf(i_0_6484, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk458_3(X4,X3,X1)),esk459_3(X4,X3,X1)))))). 3.26/3.46 cnf(i_0_4498, 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)))). 3.26/3.46 cnf(i_0_6124, 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)))). 3.26/3.46 cnf(i_0_637, 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)))). 3.26/3.46 cnf(i_0_461, 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))))). 3.26/3.46 cnf(i_0_1270, 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))))). 3.26/3.46 cnf(i_0_1514, 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))). 3.26/3.46 cnf(i_0_6979, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)|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)))). 3.26/3.46 cnf(i_0_3300, 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))). 3.26/3.46 cnf(i_0_887, 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))))). 3.26/3.46 cnf(i_0_478, 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))))). 3.26/3.46 cnf(i_0_1914, plain, (X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 3.26/3.46 cnf(i_0_1915, plain, (X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Oone__class_Oone(tc_Int_Oint)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(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)))). 3.26/3.46 cnf(i_0_5621, 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))). 3.26/3.46 cnf(i_0_6210, 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)))). 3.26/3.46 cnf(i_0_6321, 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)))). 3.26/3.46 cnf(i_0_6192, plain, (c_List_Olinorder__class_Osort__key(X1,X1,c_COMBI(X1),c_List_Oremdups(X1,X2))=c_List_Olinorder__class_Osorted__list__of__set(X1,hAPP(c_List_Oset(X1),X2))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_5525, 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)))). 3.26/3.46 cnf(i_0_338, 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))))). 3.26/3.46 cnf(i_0_4645, 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)))). 3.26/3.46 cnf(i_0_2038, 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))). 3.26/3.46 cnf(i_0_5830, 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))))). 3.26/3.46 cnf(i_0_254, 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)))). 3.26/3.46 cnf(i_0_2555, 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))))). 3.26/3.46 cnf(i_0_469, 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))). 3.26/3.46 cnf(i_0_652, 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))). 3.26/3.46 cnf(i_0_4104, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)!=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)|~hBOOL(hAPP(X2,X4)))). 3.26/3.46 cnf(i_0_1434, 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)))). 3.26/3.46 cnf(i_0_2867, 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))). 3.26/3.46 cnf(i_0_6436, 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)))). 3.26/3.46 cnf(i_0_1891, 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))))). 3.26/3.46 cnf(i_0_3645, 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),esk264_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_7040, 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),esk497_3(X2,X3,X1))))). 3.26/3.46 cnf(i_0_2077, 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)))). 3.26/3.46 cnf(i_0_5699, 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)))). 3.26/3.46 cnf(i_0_3215, 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)))). 3.26/3.46 cnf(i_0_5330, 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))))). 3.26/3.46 cnf(i_0_6853, plain, (c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=c_List_Olist_ONil(X1)|hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_3229, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk233_3(X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_7320, 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)))). 3.26/3.46 cnf(i_0_293, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))|~hBOOL(hAPP(hAPP(X2,X3),X4))|~hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)))). 3.26/3.46 cnf(i_0_5329, 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))))). 3.26/3.46 cnf(i_0_3684, 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)))). 3.26/3.46 cnf(i_0_5576, 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))). 3.26/3.46 cnf(i_0_1846, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk138_1(X1))))). 3.26/3.46 cnf(i_0_3683, 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)))). 3.26/3.46 cnf(i_0_880, 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)))). 3.26/3.46 cnf(i_0_2120, 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))). 3.26/3.46 cnf(i_0_4255, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|~c_Wellfounded_Owf(X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(c_Relation_OImage(X2,X2,X3),X1))))). 3.26/3.46 cnf(i_0_645, plain, (hAPP(X1,hAPP(X2,X3))=X3|~c_Typedef_Otype__definition(X4,X5,X1,X2,X6)|~hBOOL(hAPP(hAPP(c_member(X5),X3),X6)))). 3.26/3.46 cnf(i_0_754, plain, (hAPP(X1,esk55_5(X2,X3,X1,X4,X5))=X2|hAPP(hAPP(c_Option_Omap(X5,X4),X1),X3)!=hAPP(c_Option_Ooption_OSome(X4),X2))). 3.26/3.46 cnf(i_0_5416, 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)))). 3.26/3.46 cnf(i_0_4803, 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)))). 3.26/3.46 cnf(i_0_1530, 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)))). 3.26/3.46 cnf(i_0_5659, plain, (~hBOOL(hAPP(hAPP(c_member(X1),esk410_5(X2,X3,X4,X5,X1)),esk411_5(X2,X3,X4,X5,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X5,hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X2)))). 3.26/3.46 cnf(i_0_5726, plain, (~hBOOL(hAPP(hAPP(c_member(X1),esk419_5(X2,X3,X4,X5,X1)),esk420_5(X2,X3,X4,X5,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X5,hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X2)))). 3.26/3.46 cnf(i_0_6424, 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)))). 3.26/3.46 cnf(i_0_1150, 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))). 3.26/3.46 cnf(i_0_1742, 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)))). 3.26/3.46 cnf(i_0_4410, 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),esk320_1(X1)))))). 3.26/3.46 cnf(i_0_6558, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4)))|~hBOOL(hAPP(c_List_Olistsp(X3,X1),X4)))). 3.26/3.46 cnf(i_0_6886, 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))). 3.26/3.46 cnf(i_0_7303, 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)))). 3.26/3.46 cnf(i_0_4612, 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)))). 3.26/3.46 cnf(i_0_6462, 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))). 3.26/3.46 cnf(i_0_6172, plain, (c_Relation_Ototal__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk442_3(X3,X2,X1)),X2)))). 3.26/3.46 cnf(i_0_7299, 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))). 3.26/3.46 cnf(i_0_1933, 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))). 3.26/3.46 cnf(i_0_4463, 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))). 3.26/3.46 cnf(i_0_4902, 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))). 3.26/3.46 cnf(i_0_1361, 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))). 3.26/3.46 cnf(i_0_6171, plain, (c_Relation_Ototal__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk443_3(X3,X2,X1)),X2)))). 3.26/3.46 cnf(i_0_3787, 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))))). 3.26/3.46 cnf(i_0_6552, plain, (hAPP(X1,esk464_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)))). 3.26/3.46 cnf(i_0_676, plain, (hAPP(c_Map_Orestrict__map(X1,X2,X3,X4),X5)=c_Option_Ooption_ONone(X2)|hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 3.26/3.46 cnf(i_0_2715, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk192_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))))). 3.26/3.46 cnf(i_0_532, 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))). 3.26/3.46 cnf(i_0_2308, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk165_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))))). 3.26/3.46 cnf(i_0_4480, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk327_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))))). 3.26/3.46 cnf(i_0_7524, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(X1),esk535_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))))). 3.26/3.46 cnf(i_0_735, 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))). 3.26/3.46 cnf(i_0_4210, 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)))). 3.26/3.46 cnf(i_0_3735, 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))))). 3.26/3.46 cnf(i_0_2740, 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))))). 3.26/3.46 cnf(i_0_4884, 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))))). 3.26/3.46 cnf(i_0_5618, plain, (hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))=hAPP(c_List_Ohd(X1),X2)|X2=c_List_Olist_ONil(X1))). 3.26/3.46 cnf(i_0_720, 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))). 3.26/3.46 cnf(i_0_2443, 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))). 3.26/3.46 cnf(i_0_4360, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_4679, 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))))). 3.26/3.46 cnf(i_0_3632, 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)))). 3.26/3.46 cnf(i_0_1369, 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)))). 3.26/3.46 cnf(i_0_3404, 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)))). 3.26/3.46 cnf(i_0_3081, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_4218, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),esk306_3(X2,X4,X1))|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4)))). 3.26/3.46 cnf(i_0_1871, plain, (c_List_Olist__ex(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|~hBOOL(hAPP(X2,hAPP(hAPP(c_List_Onth(X1),X3),X4))))). 3.26/3.46 cnf(i_0_5942, plain, (X1=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X2)),X3),hAPP(c_List_Oset(tc_List_Olist(X2)),c_Enum_On__lists(X2,X1,X4)))))). 3.26/3.46 cnf(i_0_2233, 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)))). 3.26/3.46 cnf(i_0_5221, 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)))). 3.26/3.46 cnf(i_0_3095, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))). 3.26/3.46 cnf(i_0_2383, 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)))). 3.26/3.46 cnf(i_0_6352, 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))). 3.26/3.46 cnf(i_0_4423, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3))!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2))). 3.26/3.46 cnf(i_0_4424, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|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))!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__ring__strict(X1))). 3.26/3.46 cnf(i_0_1937, 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)))))). 3.26/3.46 cnf(i_0_3147, 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)))))). 3.26/3.46 cnf(i_0_5560, plain, (hAPP(X1,X2)=c_Option_Ooption_ONone(X3)|hBOOL(hAPP(hAPP(c_member(X4),X2),c_Map_Odom(X4,X3,X1))))). 3.26/3.46 cnf(i_0_1948, 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)))). 3.26/3.46 cnf(i_0_4281, 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)))). 3.26/3.46 cnf(i_0_6351, 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),X1),X2))). 3.26/3.46 cnf(i_0_3148, 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)))))). 3.26/3.46 cnf(i_0_1432, 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))). 3.26/3.46 cnf(i_0_704, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(X1)),X2))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X1),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_HOL_Obool,X1),X2),c_Option_Ooption_OSome(X1)))))). 3.26/3.46 cnf(i_0_2201, 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))). 3.26/3.46 cnf(i_0_2234, 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)))). 3.26/3.46 cnf(i_0_1654, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),X4)))). 3.26/3.46 cnf(i_0_655, 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))). 3.26/3.46 cnf(i_0_5739, 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))))). 3.26/3.46 cnf(i_0_6393, 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))))). 3.26/3.46 cnf(i_0_2283, 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))))). 3.26/3.46 cnf(i_0_6281, 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))). 3.26/3.46 cnf(i_0_6543, 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)))). 3.26/3.46 cnf(i_0_3159, 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)))). 3.26/3.46 cnf(i_0_6314, 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))). 3.26/3.46 cnf(i_0_6066, 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))))). 3.26/3.46 cnf(i_0_4781, 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))). 3.26/3.46 cnf(i_0_4749, 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)))). 3.26/3.46 cnf(i_0_272, 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)))). 3.26/3.46 cnf(i_0_4030, 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))). 3.26/3.46 cnf(i_0_6399, 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)))))). 3.26/3.46 cnf(i_0_5829, 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))))). 3.26/3.46 cnf(i_0_6521, 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)))))). 3.26/3.46 cnf(i_0_4460, 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))))). 3.26/3.46 cnf(i_0_3614, 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))). 3.26/3.46 cnf(i_0_1055, 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))). 3.26/3.46 cnf(i_0_1728, 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),esk125_2(X2,X1))))). 3.26/3.46 cnf(i_0_1205, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X2,esk91_3(X1,X3,X2)))|~hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X3),X1))))). 3.26/3.46 cnf(i_0_1674, plain, (esk119_2(hAPP(c_List_Oset(X1),X2),X1)=X2|~c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.46 cnf(i_0_3107, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_6718, 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)))). 3.26/3.46 cnf(i_0_7013, 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))). 3.26/3.46 cnf(i_0_2124, 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)))). 3.26/3.46 cnf(i_0_5327, 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))). 3.26/3.46 cnf(i_0_1764, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~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)))|~class_Rings_Olinordered__semidom(X3))). 3.26/3.46 cnf(i_0_7378, 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))))). 3.26/3.46 cnf(i_0_2362, 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))). 3.26/3.46 cnf(i_0_1504, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~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)))|~class_Rings_Olinordered__semidom(X3))). 3.26/3.46 cnf(i_0_2834, 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))))). 3.26/3.46 cnf(i_0_3741, 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))). 3.26/3.46 cnf(i_0_462, plain, (X1=c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)|X3=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X2,X3),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X4),X1))))). 3.26/3.46 cnf(i_0_5219, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_List_Onth(X3),X4),esk377_4(X2,X1,X4,X3))))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 3.26/3.46 cnf(i_0_7072, plain, (hAPP(c_List_Ofilter(X1,X2),X3)!=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)|~hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),esk498_5(X5,X4,X3,X2,X1))))|~hBOOL(hAPP(X2,X6)))). 3.26/3.46 cnf(i_0_4476, plain, (hAPP(c_List_Ofilter(X1,X2),X3)!=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)|~hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),esk324_5(X3,X2,X5,X4,X1))))|~hBOOL(hAPP(X2,X6)))). 3.26/3.46 cnf(i_0_854, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk68_2(X1,X2)),X1))|hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X2,X1)))). 3.26/3.46 cnf(i_0_4240, 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)))). 3.26/3.46 cnf(i_0_1053, 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))). 3.26/3.46 cnf(i_0_4165, 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))))). 3.26/3.46 cnf(i_0_3823, 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))). 3.26/3.46 cnf(i_0_113, 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)))). 3.26/3.46 cnf(i_0_115, 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)))). 3.26/3.46 cnf(i_0_2122, 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)))). 3.26/3.46 cnf(i_0_4176, 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))). 3.26/3.46 cnf(i_0_5018, plain, (hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,X2),X3),X4),X5),X6)=hAPP(X3,X6)|X4=X6)). 3.26/3.46 cnf(i_0_4227, 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)))). 3.26/3.46 cnf(i_0_4943, 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)))). 3.26/3.46 cnf(i_0_1906, 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)))). 3.26/3.46 cnf(i_0_2039, 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))). 3.26/3.46 cnf(i_0_6275, 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)))). 3.26/3.46 cnf(i_0_155, 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))))). 3.26/3.46 cnf(i_0_6143, 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))))). 3.26/3.46 cnf(i_0_4791, 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)))). 3.26/3.46 cnf(i_0_3521, 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))))). 3.26/3.46 cnf(i_0_6353, 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),X1),X2))). 3.26/3.46 cnf(i_0_3918, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(X1),esk284_2(X2,X1)),esk283_2(X2,X1))))). 3.26/3.46 cnf(i_0_7294, 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))))). 3.26/3.46 cnf(i_0_1418, plain, (c_Big__Operators_Olinorder__class_OMin(X1,X2)=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),esk100_3(X3,X2,X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.46 cnf(i_0_3765, 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))))). 3.26/3.46 cnf(i_0_2871, 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))))). 3.26/3.46 cnf(i_0_1922, 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)))). 3.26/3.46 cnf(i_0_1866, 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)))). 3.26/3.46 cnf(i_0_1170, 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,esk88_4(X4,X3,X1,X2))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_3565, 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,esk257_4(X4,X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_3761, 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,esk271_4(X4,X3,X1,X2))!=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_3003, 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,esk225_4(X4,X3,X2,X1))!=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_7187, 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)))). 3.26/3.46 cnf(i_0_2067, 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)))). 3.26/3.46 cnf(i_0_6910, 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)))). 3.26/3.46 cnf(i_0_5427, 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))))). 3.26/3.46 cnf(i_0_798, plain, (X1=c_Big__Operators_Olinorder__class_OMax(X2,X3)|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),esk58_3(X1,X3,X2)),X1))|~hBOOL(hAPP(hAPP(c_member(X2),X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.46 cnf(i_0_386, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(X1,X2,esk22_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)))). 3.26/3.46 cnf(i_0_2148, 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)))). 3.26/3.46 cnf(i_0_1357, 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)))). 3.26/3.46 cnf(i_0_5767, 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)))). 3.26/3.46 cnf(i_0_3304, 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))). 3.26/3.46 cnf(i_0_2674, plain, (c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))|~c_Wellfounded_Owf(X2,hAPP(X4,esk189_4(X1,X4,X2,X3))))). 3.26/3.46 cnf(i_0_4900, plain, (c_List_Olist__all2(X1,X2,X3,X4,hAPP(c_List_Orev(X2),X5))|~c_List_Olist__all2(X1,X2,X3,hAPP(c_List_Orev(X1),X4),X5))). 3.26/3.46 cnf(i_0_4899, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(c_List_Orev(X1),X4),X5)|~c_List_Olist__all2(X1,X2,X3,X4,hAPP(c_List_Orev(X2),X5)))). 3.26/3.46 cnf(i_0_6262, plain, (c_List_Olist__ex1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|hBOOL(hAPP(X2,X3))|~c_List_Olist__ex1(X1,X2,X4))). 3.26/3.46 cnf(i_0_1204, plain, (hBOOL(hAPP(X1,esk91_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))))). 3.26/3.46 cnf(i_0_1522, 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))))). 3.26/3.46 cnf(i_0_7372, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_Olinorder__class_Osort__key(X1,X2,X3,X4))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)|~class_Orderings_Olinorder(X2))). 3.26/3.46 cnf(i_0_612, 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)))). 3.26/3.46 cnf(i_0_343, plain, (c_Lazy__Sequence_Oproduct(X1,X2,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(X1,X3),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(X2,X3))=c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(X1,X2),X3)|~class_Lazy__Sequence_Osmall__lazy(X2)|~class_Lazy__Sequence_Osmall__lazy(X1))). 3.26/3.46 cnf(i_0_2659, 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)))). 3.26/3.46 cnf(i_0_4984, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk360_2(X2,X1)))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2)))). 3.26/3.46 cnf(i_0_638, 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)))). 3.26/3.46 cnf(i_0_4362, 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),esk316_3(X2,X3,X1))))). 3.26/3.46 cnf(i_0_7090, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X3),X4))|~class_Orderings_Oorder(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2)),X3),X4)))). 3.26/3.46 cnf(i_0_2382, 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)))). 3.26/3.46 cnf(i_0_4953, 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)))). 3.26/3.46 cnf(i_0_1029, 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)))). 3.26/3.46 cnf(i_0_1028, 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)))). 3.26/3.46 cnf(i_0_6642, 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)))). 3.26/3.46 cnf(i_0_502, 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))). 3.26/3.46 cnf(i_0_2632, 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)))))). 3.26/3.46 cnf(i_0_4107, 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))))))). 3.26/3.46 cnf(i_0_6385, 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(X2),c_Groups_Ozero__class_Ozero(X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1)))|~class_Rings_Olinordered__semidom(X2))). 3.26/3.46 cnf(i_0_6169, 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),esk442_3(X3,X2,X1)),esk443_3(X3,X2,X1))),X3)))). 3.26/3.46 cnf(i_0_6168, 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),esk443_3(X3,X2,X1)),esk442_3(X3,X2,X1))),X3)))). 3.26/3.46 cnf(i_0_1671, 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))))). 3.26/3.46 cnf(i_0_3608, 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))). 3.26/3.46 cnf(i_0_1131, 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))). 3.26/3.46 cnf(i_0_6748, 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))). 3.26/3.46 cnf(i_0_1694, 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))). 3.26/3.46 cnf(i_0_4647, 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)))). 3.26/3.46 cnf(i_0_1062, 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))). 3.26/3.46 cnf(i_0_3499, 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))). 3.26/3.46 cnf(i_0_1359, 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))). 3.26/3.46 cnf(i_0_6992, 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))). 3.26/3.46 cnf(i_0_5791, 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)))))). 3.26/3.46 cnf(i_0_7193, 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)))))). 3.26/3.46 cnf(i_0_5644, 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)))). 3.26/3.46 cnf(i_0_4191, 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))). 3.26/3.46 cnf(i_0_3811, 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))). 3.26/3.46 cnf(i_0_6518, 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))))))). 3.26/3.46 cnf(i_0_2360, 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)))))). 3.26/3.46 cnf(i_0_1054, 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))). 3.26/3.46 cnf(i_0_6483, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))|~hBOOL(hAPP(X1,esk460_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_4322, 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)))). 3.26/3.46 cnf(i_0_1515, 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))). 3.26/3.46 cnf(i_0_5940, 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)))))). 3.26/3.46 cnf(i_0_2336, plain, (X1=X2|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))|~class_Rings_Olinordered__semidom(X3))). 3.26/3.46 cnf(i_0_606, 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))). 3.26/3.46 cnf(i_0_449, 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))). 3.26/3.46 cnf(i_0_6088, 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)))). 3.26/3.46 cnf(i_0_2805, 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)))). 3.26/3.46 cnf(i_0_6320, 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))). 3.26/3.46 cnf(i_0_2670, 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))))). 3.26/3.46 cnf(i_0_2311, 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)))). 3.26/3.46 cnf(i_0_2057, 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)))). 3.26/3.46 cnf(i_0_1722, 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)))). 3.26/3.46 cnf(i_0_3268, 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)). 3.26/3.46 cnf(i_0_1570, 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,esk110_3(X1,X3,X2)))|~hBOOL(hAPP(X2,esk112_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_5460, 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))))). 3.26/3.46 cnf(i_0_2203, 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))). 3.26/3.46 cnf(i_0_5603, 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)))). 3.26/3.46 cnf(i_0_3601, 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,esk261_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_5819, 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,esk424_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_4253, 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))). 3.26/3.46 cnf(i_0_4793, plain, (X1=c_List_Olist_ONil(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(X2)),X1))))). 3.26/3.46 cnf(i_0_802, 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))). 3.26/3.46 cnf(i_0_2315, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),c_List_Olinorder__class_Osort__key(X2,X1,X3,X4)))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_5865, 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))))). 3.26/3.46 cnf(i_0_5203, 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),esk376_3(X3,X2,X1)),X2)),X3)))). 3.26/3.46 cnf(i_0_6454, 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))))). 3.26/3.46 cnf(i_0_608, 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)))). 3.26/3.46 cnf(i_0_3865, 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))))). 3.26/3.46 cnf(i_0_4131, 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))))). 3.26/3.46 cnf(i_0_7556, 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))). 3.26/3.46 cnf(i_0_5431, plain, (X1=c_List_Olist_ONil(X2)|hBOOL(hAPP(hAPP(c_member(X2),c_List_Olast(X2,X1)),hAPP(c_List_Oset(X2),X1))))). 3.26/3.46 cnf(i_0_310, 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))))). 3.26/3.46 cnf(i_0_6874, plain, (hAPP(X1,esk485_4(X2,X1,X3,X4))=hAPP(X1,esk486_4(X2,X1,X3,X4))|c_Fun_Oinj__on(X4,X3,X1,X2))). 3.26/3.46 cnf(i_0_1022, 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))))). 3.26/3.46 cnf(i_0_970, 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))))). 3.26/3.46 cnf(i_0_2462, 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))))). 3.26/3.46 cnf(i_0_306, 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))). 3.26/3.46 cnf(i_0_6765, 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))). 3.26/3.46 cnf(i_0_2614, 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,esk184_2(X1,X3))))). 3.26/3.46 cnf(i_0_1869, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_List_Onth(X2),X3),esk140_3(X3,X1,X2))))|~c_List_Olist__ex(X2,X1,X3))). 3.26/3.46 cnf(i_0_5360, 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))))). 3.26/3.46 cnf(i_0_3212, 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))))). 3.26/3.46 cnf(i_0_1778, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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))))). 3.26/3.46 cnf(i_0_441, 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))). 3.26/3.46 cnf(i_0_1317, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk95_3(X2,X3,X1)),X2))|hBOOL(hAPP(c_Predicate_OPowp(X1,X3),X2)))). 3.26/3.46 cnf(i_0_2168, plain, (hBOOL(hAPP(X1,esk155_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X4),X5),X3))|~hBOOL(hAPP(X1,X5)))). 3.26/3.46 cnf(i_0_2170, plain, (hBOOL(hAPP(X1,esk155_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_member(X4),X5),X2))|~hBOOL(hAPP(X1,X5)))). 3.26/3.46 cnf(i_0_7352, 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))). 3.26/3.46 cnf(i_0_2652, 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))). 3.26/3.46 cnf(i_0_753, plain, (hAPP(c_Option_Ooption_OSome(X1),esk55_5(X2,X3,X4,X5,X1))=X3|hAPP(hAPP(c_Option_Omap(X1,X5),X4),X3)!=hAPP(c_Option_Ooption_OSome(X5),X2))). 3.26/3.46 cnf(i_0_1002, 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)))). 3.26/3.46 cnf(i_0_7146, 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))). 3.26/3.46 cnf(i_0_2255, 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))). 3.26/3.46 cnf(i_0_859, 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))). 3.26/3.46 cnf(i_0_3255, plain, (hAPP(c_List_Ofilter(X1,X2),c_List_Oremove1(X1,X3,X4))=hAPP(c_List_Ofilter(X1,X2),X4)|hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_1043, plain, (hAPP(hAPP(c_List_Onth(X1),X2),esk78_3(X2,X3,X1))=X3|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X2))))). 3.26/3.46 cnf(i_0_181, 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))). 3.26/3.46 cnf(i_0_6870, 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))). 3.26/3.46 cnf(i_0_2457, 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)))). 3.26/3.46 cnf(i_0_5362, 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))). 3.26/3.46 cnf(i_0_758, 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))). 3.26/3.46 cnf(i_0_4387, 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))). 3.26/3.46 cnf(i_0_1618, 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)))). 3.26/3.46 cnf(i_0_7217, 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)))). 3.26/3.46 cnf(i_0_2992, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),esk223_3(X1,X2,X3)),esk224_3(X1,X2,X3)))|~hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 3.26/3.46 cnf(i_0_2967, 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),esk220_2(X2,X1))),hAPP(hAPP(c_List_Onth(X1),X2),esk221_2(X2,X1)))))). 3.26/3.46 cnf(i_0_5505, 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),esk402_2(X2,X1))),hAPP(hAPP(c_List_Onth(X1),X2),esk401_2(X2,X1)))))). 3.26/3.46 cnf(i_0_4282, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(c_List_Orev(X1),X4),hAPP(c_List_Orev(X2),X5))|~c_List_Olist__all2(X1,X2,X3,X4,X5))). 3.26/3.46 cnf(i_0_4141, 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))))). 3.26/3.46 cnf(i_0_631, 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))))). 3.26/3.46 cnf(i_0_7288, 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)))). 3.26/3.46 cnf(i_0_5140, 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)))). 3.26/3.46 cnf(i_0_5852, 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_Fields_Ofield__inverse__zero(X1))). 3.26/3.46 cnf(i_0_5765, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))!=c_Groups_Osgn__class_Osgn(X1,X2)|~class_Rings_Olinordered__idom(X1))). 3.26/3.46 cnf(i_0_1762, 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))). 3.26/3.46 cnf(i_0_3319, 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)))). 3.26/3.46 cnf(i_0_3306, 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))). 3.26/3.46 cnf(i_0_7081, 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),esk503_1(X1)),hAPP(c_List_Oset(tc_Nat_Onat),X1))))). 3.26/3.46 cnf(i_0_6902, plain, (esk491_3(X1,X2,X3)=X4|~c_List_Olist__ex1(X3,X2,X1)|~hBOOL(hAPP(hAPP(c_member(X3),X4),hAPP(c_List_Oset(X3),X1)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.46 cnf(i_0_1194, 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))))). 3.26/3.46 cnf(i_0_7330, 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))))). 3.26/3.46 cnf(i_0_4239, 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)))). 3.26/3.46 cnf(i_0_5854, 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))). 3.26/3.46 cnf(i_0_6054, 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))))). 3.26/3.46 cnf(i_0_1809, 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))))). 3.26/3.46 cnf(i_0_442, 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))))). 3.26/3.46 cnf(i_0_41, 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)))). 3.26/3.46 cnf(i_0_819, 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)))). 3.26/3.46 cnf(i_0_6974, 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,esk494_1(X1))))=X1|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_6295, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))|~hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))|~hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_3445, 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))))). 3.26/3.46 cnf(i_0_3200, 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)))). 3.26/3.46 cnf(i_0_4542, plain, (hAPP(X1,esk332_4(X2,X1,X3,X4))=X4|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Set_Oimage(X3,X5,X1),X2))))). 3.26/3.46 cnf(i_0_7132, plain, (hBOOL(hAPP(X1,esk508_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)))). 3.26/3.46 cnf(i_0_4694, 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)))). 3.26/3.46 cnf(i_0_4695, 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)))). 3.26/3.46 cnf(i_0_219, plain, (hAPP(X1,esk12_4(X2,X1,X3,X4))=X4|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Set_Oimage(X3,X5,X1),X2))))). 3.26/3.46 cnf(i_0_6182, 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))))). 3.26/3.46 cnf(i_0_1987, plain, (hAPP(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)))))). 3.26/3.46 cnf(i_0_5955, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|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))))). 3.26/3.46 cnf(i_0_2580, 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)))). 3.26/3.46 cnf(i_0_3742, 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)))). 3.26/3.46 cnf(i_0_2539, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))=c_Groups_Osgn__class_Osgn(X1,X2)|~class_Rings_Olinordered__idom(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_4768, 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))|esk344_3(X3,X2,X1)=esk345_3(X3,X2,X1))). 3.26/3.46 cnf(i_0_4813, plain, (c_List_Oremdups(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=c_List_Oremdups(X1,X3)|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_6964, 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)))). 3.26/3.46 cnf(i_0_761, 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)))). 3.26/3.46 cnf(i_0_3458, 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))). 3.26/3.46 cnf(i_0_1946, 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))))). 3.26/3.46 cnf(i_0_2048, 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))))). 3.26/3.46 cnf(i_0_1884, 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))))). 3.26/3.46 cnf(i_0_2324, 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)))). 3.26/3.46 cnf(i_0_2686, 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)))). 3.26/3.46 cnf(i_0_7158, 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))))). 3.26/3.46 cnf(i_0_1006, 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))))). 3.26/3.46 cnf(i_0_6077, 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,esk439_5(X5,X4,X3,X2,X1)),X5)))). 3.26/3.46 cnf(i_0_4300, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2))|~class_Rings_Olinordered__idom(X3)|~class_Int_Onumber__ring(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))))). 3.26/3.46 cnf(i_0_1482, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(X5,X1,X6)),X2),X3),X4))|~hBOOL(hAPP(X5,X2)))). 3.26/3.46 cnf(i_0_7240, 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))). 3.26/3.46 cnf(i_0_4074, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2))|~class_Rings_Olinordered__idom(X3)|~class_Int_Onumber__ring(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))))). 3.26/3.46 cnf(i_0_2072, 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)))))). 3.26/3.46 cnf(i_0_4040, 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)))))). 3.26/3.46 cnf(i_0_384, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),esk24_3(X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_505, 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)))). 3.26/3.46 cnf(i_0_3257, 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)))))). 3.26/3.46 cnf(i_0_1697, 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))))). 3.26/3.46 cnf(i_0_4228, 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)))). 3.26/3.46 cnf(i_0_400, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk25_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)))). 3.26/3.46 cnf(i_0_2150, 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))). 3.26/3.46 cnf(i_0_3388, 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))). 3.26/3.46 cnf(i_0_6500, 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_Rings_Odivision__ring(X1))). 3.26/3.46 cnf(i_0_3724, plain, (c_List_Olist__ex1(X1,X2,c_Enum_Oenum__class_Oenum(X1))|hBOOL(hAPP(X2,esk268_3(X2,X1,X3)))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_2626, 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)))). 3.26/3.46 cnf(i_0_1313, 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))))). 3.26/3.46 cnf(i_0_7307, 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))))). 3.26/3.46 cnf(i_0_5792, 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)))). 3.26/3.46 cnf(i_0_3737, 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)))). 3.26/3.46 cnf(i_0_5259, 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)))). 3.26/3.46 cnf(i_0_5787, 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))). 3.26/3.46 cnf(i_0_1297, 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))). 3.26/3.46 cnf(i_0_5029, 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))). 3.26/3.46 cnf(i_0_5113, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Map_Oran(X3,X1,X4)))|hAPP(X4,X5)!=hAPP(c_Option_Ooption_OSome(X1),X2))). 3.26/3.46 cnf(i_0_3524, 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)))). 3.26/3.46 cnf(i_0_491, 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)))). 3.26/3.46 cnf(i_0_3662, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_Map_Odom(X1,X3,X4)))|hAPP(c_Option_Ooption_OSome(X3),X5)!=hAPP(X4,X2))). 3.26/3.46 cnf(i_0_5677, plain, (hAPP(X1,esk413_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)))). 3.26/3.46 cnf(i_0_2991, plain, (hBOOL(hAPP(X1,esk224_3(X1,X2,X3)))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 3.26/3.46 cnf(i_0_6876, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(c_member(X1),esk485_4(X4,X3,X2,X1)),X4)))). 3.26/3.46 cnf(i_0_7308, 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)))). 3.26/3.46 cnf(i_0_2069, 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)))). 3.26/3.46 cnf(i_0_6875, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(c_member(X1),esk486_4(X4,X3,X2,X1)),X4)))). 3.26/3.46 cnf(i_0_5945, 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))))). 3.26/3.46 cnf(i_0_1308, 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))))). 3.26/3.46 cnf(i_0_7125, 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)))). 3.26/3.46 cnf(i_0_4339, 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)))). 3.26/3.46 cnf(i_0_5733, 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)))). 3.26/3.46 cnf(i_0_3956, plain, (c_List_Oremove1(X1,X2,X3)=X3|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_1543, 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)))). 3.26/3.46 cnf(i_0_1382, 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,esk97_2(X1,X3))))). 3.26/3.46 cnf(i_0_4246, plain, (hAPP(c_Option_Ooption_OSome(X1),esk307_3(X2,X1,X3))=hAPP(X2,X3)|~hBOOL(hAPP(hAPP(c_member(X4),X3),c_Map_Odom(X4,X1,X2))))). 3.26/3.46 cnf(i_0_4678, plain, (c_List_Olast(X1,hAPP(hAPP(c_List_Omap(X2,X1),X3),X4))=hAPP(X3,c_List_Olast(X2,X4))|c_List_Olist_ONil(X2)=X4)). 3.26/3.46 cnf(i_0_6437, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),esk453_3(X3,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3)))). 3.26/3.46 cnf(i_0_3384, 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)))). 3.26/3.46 cnf(i_0_3222, 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))))))). 3.26/3.46 cnf(i_0_4644, 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)))). 3.26/3.46 cnf(i_0_7131, 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,esk508_3(X2,X1,X3)),X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(X1,X2)))). 3.26/3.46 cnf(i_0_2488, plain, (hAPP(c_Fun_Ooverride__on(X1,X2,X3,X4,X5),X6)=hAPP(X3,X6)|hBOOL(hAPP(hAPP(c_member(X1),X6),X5)))). 3.26/3.46 cnf(i_0_1874, 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))))). 3.26/3.46 cnf(i_0_5987, 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))))). 3.26/3.46 cnf(i_0_1753, 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)))). 3.26/3.46 cnf(i_0_4752, 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)))). 3.26/3.46 cnf(i_0_5689, 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))))). 3.26/3.46 cnf(i_0_2036, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),esk146_3(X3,X2,X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X3))))). 3.26/3.46 cnf(i_0_519, 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))). 3.26/3.46 cnf(i_0_5368, 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))))). 3.26/3.46 cnf(i_0_7200, plain, (hAPP(X1,esk512_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_Ocomm__semiring__1(X4)|~class_Rings_Ono__zero__divisors(X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 3.26/3.46 cnf(i_0_2790, plain, (c_List_Olinorder__class_Osort__key(X1,X2,X3,hAPP(c_List_Ofilter(X1,X4),X5))=hAPP(c_List_Ofilter(X1,X4),c_List_Olinorder__class_Osort__key(X1,X2,X3,X5))|~class_Orderings_Olinorder(X2))). 3.26/3.46 cnf(i_0_425, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk29_4(X3,X2,X4,X1)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4)),X2),X3)))). 3.26/3.46 cnf(i_0_426, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),esk29_4(X2,X3,X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(X4,X1)),X3),X2)))). 3.26/3.46 cnf(i_0_909, 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)))). 3.26/3.46 cnf(i_0_7160, 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)),X2),c_List_Olist_ONil(X1))),c_List_Olistrel(X1,X3))))). 3.26/3.46 cnf(i_0_5471, 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)),c_List_Olist_ONil(X2)),X1)),c_List_Olistrel(X2,X3))))). 3.26/3.46 cnf(i_0_4771, 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)))). 3.26/3.46 cnf(i_0_4233, 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)))). 3.26/3.46 cnf(i_0_820, 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)))). 3.26/3.46 cnf(i_0_4412, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk319_1(X1)))|hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))). 3.26/3.46 cnf(i_0_878, 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)))). 3.26/3.46 cnf(i_0_5044, 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)))). 3.26/3.46 cnf(i_0_541, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(X1,esk40_3(X3,X2,X1)))|~hBOOL(hAPP(X1,esk42_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_7123, 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,esk507_4(X1,X3,X2,X4))))). 3.26/3.46 cnf(i_0_1667, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),esk118_5(X3,X5,X4,X2,X1))))). 3.26/3.46 cnf(i_0_713, 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)))). 3.26/3.46 cnf(i_0_4414, 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)))). 3.26/3.46 cnf(i_0_1689, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)|~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),esk120_5(X5,X4,X3,X2,X1))))). 3.26/3.46 cnf(i_0_2711, 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)))). 3.26/3.46 cnf(i_0_2358, 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))))). 3.26/3.46 cnf(i_0_1244, 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))))). 3.26/3.46 cnf(i_0_6251, 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)))). 3.26/3.46 cnf(i_0_4370, 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))))). 3.26/3.46 cnf(i_0_2032, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)|~c_Int_Oiszero(X1,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))). 3.26/3.46 cnf(i_0_1245, 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))))). 3.26/3.46 cnf(i_0_1023, 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))))). 3.26/3.46 cnf(i_0_4132, 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))))). 3.26/3.46 cnf(i_0_2204, 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)))))). 3.26/3.46 cnf(i_0_3835, plain, (X1=hAPP(hAPP(X2,X3),X4)|hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4))|~c_Big__Operators_Ocomm__monoid__big(X6,X5,X7,X1,X2))). 3.26/3.46 cnf(i_0_7071, plain, (hAPP(c_List_Ofilter(X1,X2),esk499_5(X3,X4,X5,X2,X1))=X3|hAPP(c_List_Ofilter(X1,X2),X5)!=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))). 3.26/3.46 cnf(i_0_4478, plain, (hAPP(c_List_Ofilter(X1,X2),esk325_5(X3,X2,X4,X5,X1))=X4|hAPP(c_List_Ofilter(X1,X2),X3)!=hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4))). 3.26/3.46 cnf(i_0_211, 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)))). 3.26/3.46 cnf(i_0_4171, 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)))))). 3.26/3.46 cnf(i_0_3736, 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)))). 3.26/3.46 cnf(i_0_2741, 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)))). 3.26/3.46 cnf(i_0_895, plain, (hAPP(X1,X2)=hAPP(c_Option_Ooption_OSome(X3),X4)|c_Option_Ooption_ONone(X3)=hAPP(X1,X2)|hAPP(c_Map_Omap__add(X5,X3,X6,X1),X2)!=hAPP(c_Option_Ooption_OSome(X3),X4))). 3.26/3.46 cnf(i_0_4885, 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))))). 3.26/3.46 cnf(i_0_4680, 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))))). 3.26/3.46 cnf(i_0_3953, 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))))). 3.26/3.46 cnf(i_0_6528, plain, (hAPP(c_Finite__Set_Ocard(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),esk461_2(X2,X1)),X2)))). 3.26/3.46 cnf(i_0_2327, 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))). 3.26/3.46 cnf(i_0_955, 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)). 3.26/3.46 cnf(i_0_5104, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(X1)),X2))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_HOL_Obool,X1),X2),c_Option_Ooption_OSome(X1))))|~hBOOL(hAPP(X2,c_Option_Ooption_ONone(X1))))). 3.26/3.46 cnf(i_0_3276, 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))))). 3.26/3.46 cnf(i_0_2969, plain, (c_List_Olinorder__class_Osorted(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk220_2(X2,X1)),esk221_2(X2,X1)))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_5506, plain, (c_List_Olinorder__class_Osorted(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk402_2(X2,X1)),esk401_2(X2,X1)))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_5280, 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)))). 3.26/3.46 cnf(i_0_903, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk72_2(X2,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))))). 3.26/3.46 cnf(i_0_5794, 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)))). 3.26/3.46 cnf(i_0_744, 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)))). 3.26/3.46 cnf(i_0_3099, 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)))))). 3.26/3.46 cnf(i_0_1709, 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)))). 3.26/3.46 cnf(i_0_3968, 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)))). 3.26/3.46 cnf(i_0_2295, plain, (c_Wellfounded_Owf(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2))|~c_Wellfounded_OwfP(X1,X2))). 3.26/3.46 cnf(i_0_881, 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)))). 3.26/3.46 cnf(i_0_801, 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)))). 3.26/3.46 cnf(i_0_5843, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X2)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))|~class_Orderings_Oorder(X1))). 3.26/3.46 cnf(i_0_7042, plain, (c_Wellfounded_Oacyclic(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2))|~c_Wellfounded_OwfP(X1,X2))). 3.26/3.46 cnf(i_0_5053, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X1),X2)=X3|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~hBOOL(hAPP(c_Divides_Odivmod__int__rel(X1,X2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X4))))). 3.26/3.46 cnf(i_0_6616, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)))|~class_Groups_Oordered__ab__group__add__abs(X1))). 3.26/3.46 cnf(i_0_6883, 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))). 3.26/3.46 cnf(i_0_7186, 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)))). 3.26/3.46 cnf(i_0_4557, 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)))). 3.26/3.46 cnf(i_0_2183, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk159_2(X2,X1)),esk158_2(X2,X1))=X2|X2=c_List_Olist_ONil(X1)|~c_List_Olinorder__class_Osorted(X1,X2)|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_1060, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|X1=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)|~class_Rings_Oidom(X2))). 3.26/3.46 cnf(i_0_7247, plain, (X1=X2|hAPP(hAPP(c_List_Oappend(X3),X4),hAPP(hAPP(c_List_Olist_OCons(X3),X1),c_List_Olist_ONil(X3)))!=hAPP(hAPP(c_List_Oappend(X3),X5),hAPP(hAPP(c_List_Olist_OCons(X3),X2),c_List_Olist_ONil(X3))))). 3.26/3.46 cnf(i_0_7248, 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))))). 3.26/3.46 cnf(i_0_1335, 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)))). 3.26/3.46 cnf(i_0_5116, 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)))). 3.26/3.46 cnf(i_0_1918, 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)))). 3.26/3.46 cnf(i_0_4966, 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)))). 3.26/3.46 cnf(i_0_4536, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(X1,X2)),X3),X4))|hAPP(X4,esk331_4(X4,X3,X1,X2))!=hAPP(X3,esk331_4(X4,X3,X1,X2))|~class_HOL_Oequal(X2)|~class_Enum_Oenum(X1))). 3.26/3.46 cnf(i_0_1187, 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))). 3.26/3.46 cnf(i_0_2749, 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)))). 3.26/3.46 cnf(i_0_3748, 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)))). 3.26/3.46 cnf(i_0_3237, 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)))). 3.26/3.46 cnf(i_0_1220, plain, (hBOOL(hAPP(X1,esk93_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)))). 3.26/3.46 cnf(i_0_332, 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))). 3.26/3.46 cnf(i_0_4668, 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))). 3.26/3.46 cnf(i_0_5442, 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)))). 3.26/3.46 cnf(i_0_7375, 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))). 3.26/3.46 cnf(i_0_1747, plain, (X1=X2|hAPP(hAPP(c_List_Onth(X3),X1),esk126_3(X3,X2,X1))!=hAPP(hAPP(c_List_Onth(X3),X2),esk126_3(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))). 3.26/3.46 cnf(i_0_1956, 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))). 3.26/3.46 cnf(i_0_977, 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)|esk74_2(X2,X1)!=c_List_Olist_ONil(X1))). 3.26/3.46 cnf(i_0_256, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk18_2(X2,X1)))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 3.26/3.46 cnf(i_0_4837, 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)))). 3.26/3.46 cnf(i_0_7175, 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)))). 3.26/3.46 cnf(i_0_800, 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))). 3.26/3.46 cnf(i_0_7421, 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)|esk521_2(X2,X1)!=c_List_Olist_ONil(X1))). 3.26/3.46 cnf(i_0_6146, 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)))). 3.26/3.46 cnf(i_0_1453, 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(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.46 cnf(i_0_2342, 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)))). 3.26/3.46 cnf(i_0_609, 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))))). 3.26/3.46 cnf(i_0_6455, 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)))). 3.26/3.46 cnf(i_0_1485, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),X4))|hBOOL(hAPP(X5,X2))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(X5,X6,X1)),X2),X3),X4)))). 3.26/3.46 cnf(i_0_6292, plain, (hBOOL(hAPP(c_List_Odistinct(tc_prod(X1,X2)),c_Enum_Oproduct(X1,X2,X3,X4)))|~hBOOL(hAPP(c_List_Odistinct(X2),X4))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_6537, 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),esk462_3(X3,X2,X1)),esk463_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_4122, 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))). 3.26/3.46 cnf(i_0_2412, plain, (hBOOL(hAPP(hAPP(X1,X2),esk172_5(X3,X4,X1,X5,X2)))|~c_Wellfounded_Omax__extp(X5,X1,X4,X3)|~hBOOL(hAPP(hAPP(c_member(X5),X2),X4)))). 3.26/3.46 cnf(i_0_3753, 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))|c_List_Olist_ONil(X1)=X3)). 3.26/3.46 cnf(i_0_2426, 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)))). 3.26/3.46 cnf(i_0_1964, 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))|c_List_Olist_ONil(X1)=X3)). 3.26/3.46 cnf(i_0_6410, plain, (hAPP(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(X2)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_2925, 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))). 3.26/3.46 cnf(i_0_2990, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X3),esk223_3(X1,X2,X3)),esk224_3(X1,X2,X3))))|~hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)))). 3.26/3.46 cnf(i_0_3153, 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)))). 3.26/3.46 cnf(i_0_1901, 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)))). 3.26/3.46 cnf(i_0_2704, 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)))). 3.26/3.46 cnf(i_0_7305, 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)))). 3.26/3.46 cnf(i_0_5720, 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))). 3.26/3.46 cnf(i_0_3376, 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)))). 3.26/3.46 cnf(i_0_4341, 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)))). 3.26/3.46 cnf(i_0_4064, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,X1)),X2),hAPP(c_Nat_OSuc,X3)),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3),X4)))). 3.26/3.46 cnf(i_0_2647, 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)))). 3.26/3.46 cnf(i_0_3074, 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))). 3.26/3.46 cnf(i_0_2498, 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))). 3.26/3.46 cnf(i_0_3437, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),esk248_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Complete__Lattice_OSup__class_OSup(X1,X3))))). 3.26/3.46 cnf(i_0_5893, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk428_3(X2,X3,X1)),hAPP(c_List_Oset(X1),X2)))|~c_List_Olist__ex(X1,X3,X2))). 3.26/3.46 cnf(i_0_6904, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk491_3(X2,X3,X1)),hAPP(c_List_Oset(X1),X2)))|~c_List_Olist__ex1(X1,X3,X2))). 3.26/3.46 cnf(i_0_2996, 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))). 3.26/3.46 cnf(i_0_6034, 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))))). 3.26/3.46 cnf(i_0_5341, 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)))). 3.26/3.46 cnf(i_0_3436, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk248_3(X2,X3,X1)),X2))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),c_Complete__Lattice_OSup__class_OSup(X1,X2))))). 3.26/3.46 cnf(i_0_4938, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk355_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X1)),X2),X2))|~hBOOL(hAPP(X3,X2)))). 3.26/3.46 cnf(i_0_6806, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk476_3(X2,X3,X1)),X3))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Complete__Lattice_OInf__class_OInf(X1,X3)),X2)))). 3.26/3.46 cnf(i_0_6805, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),esk476_3(X2,X3,X1)),X2))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Complete__Lattice_OInf__class_OInf(X1,X3)),X2)))). 3.26/3.46 cnf(i_0_2003, 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)))). 3.26/3.46 cnf(i_0_5448, 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)))). 3.26/3.46 cnf(i_0_4844, 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)))). 3.26/3.46 cnf(i_0_2002, 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)))). 3.26/3.46 cnf(i_0_981, 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))). 3.26/3.46 cnf(i_0_6447, 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))). 3.26/3.46 cnf(i_0_6386, 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)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_5740, 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))))). 3.26/3.46 cnf(i_0_6392, 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))))). 3.26/3.46 cnf(i_0_2284, 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)))). 3.26/3.46 cnf(i_0_7500, plain, (hAPP(X1,esk533_1(X1))=hAPP(X1,esk534_1(X1))|c_Equiv__Relations_Oequivp(X2,X1)|hBOOL(hAPP(hAPP(X1,esk533_1(X1)),esk534_1(X1))))). 3.26/3.46 cnf(i_0_6798, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk475_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))). 3.26/3.46 cnf(i_0_1635, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|c_Orderings_Otop__class_Otop(X2)!=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X2),X3),X1)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),X3),X1)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))). 3.26/3.46 cnf(i_0_919, 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)))). 3.26/3.46 cnf(i_0_6997, 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))). 3.26/3.46 cnf(i_0_6067, 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)))). 3.26/3.46 cnf(i_0_1501, plain, (hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))|hBOOL(hAPP(X1,esk106_3(X1,X3,X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(X1,X3)))). 3.26/3.46 cnf(i_0_7227, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))|~hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))|~hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)))). 3.26/3.46 cnf(i_0_3044, 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)))). 3.26/3.46 cnf(i_0_2172, 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)))). 3.26/3.46 cnf(i_0_3914, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk286_3(X2,X1,X3)),X3))|~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 3.26/3.46 cnf(i_0_6952, plain, (hBOOL(hAPP(hAPP(X1,esk492_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)))). 3.26/3.46 cnf(i_0_2424, 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)),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))))). 3.26/3.46 cnf(i_0_7563, 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))))). 3.26/3.46 cnf(i_0_2216, 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)))). 3.26/3.46 cnf(i_0_177, 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,esk11_3(X2,X1,X3)))),hAPP(X3,esk11_3(X2,X1,X3)))),X2)))). 3.26/3.46 cnf(i_0_2701, 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,esk191_3(X3,X2,X1)))),hAPP(X3,esk191_3(X3,X2,X1)))),X2)))). 3.26/3.46 cnf(i_0_6330, 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))). 3.26/3.46 cnf(i_0_6156, 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)))). 3.26/3.46 cnf(i_0_1122, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X3,X4,X5)))|~hBOOL(hAPP(hAPP(X3,X4),X2))|~hBOOL(hAPP(hAPP(X3,X2),X5)))). 3.26/3.46 cnf(i_0_7204, 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),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_6211, 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))). 3.26/3.46 cnf(i_0_542, 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)))|~hBOOL(hAPP(X2,esk40_3(X1,X3,X2)))|~hBOOL(hAPP(X2,esk42_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_6733, 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))). 3.26/3.46 cnf(i_0_3507, 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))))). 3.26/3.46 cnf(i_0_2803, 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)))). 3.26/3.46 cnf(i_0_5101, 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))). 3.26/3.46 cnf(i_0_1961, 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))))). 3.26/3.46 cnf(i_0_5557, 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))))). 3.26/3.46 cnf(i_0_4843, 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))). 3.26/3.46 cnf(i_0_4095, plain, (hBOOL(hAPP(X1,esk300_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)))). 3.26/3.46 cnf(i_0_7377, 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)))). 3.26/3.46 cnf(i_0_595, 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))))). 3.26/3.46 cnf(i_0_1738, 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))))))). 3.26/3.46 cnf(i_0_5877, 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)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_2835, 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)))). 3.26/3.46 cnf(i_0_1505, 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)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X3))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_7171, plain, (hAPP(hAPP(c_List_Onth(X1),X2),esk510_2(X2,X1))=hAPP(hAPP(c_List_Onth(X1),X2),esk511_2(X2,X1))|hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.46 cnf(i_0_1142, 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),esk84_2(X1,X2))))). 3.26/3.46 cnf(i_0_7221, 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)))). 3.26/3.46 cnf(i_0_5133, plain, (c_Enum_Oex__n__lists(X1,X2,X3)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),hAPP(c_List_Oset(tc_List_Olist(X1)),c_Enum_On__lists(X1,X3,c_Enum_Oenum__class_Oenum(X1)))))|~hBOOL(hAPP(X2,X4)))). 3.26/3.46 cnf(i_0_6049, 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)))))). 3.26/3.46 cnf(i_0_4740, 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))). 3.26/3.46 cnf(i_0_1290, 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))). 3.26/3.46 cnf(i_0_2389, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(c_Option_Ooption_OSome(X2),X6)|hAPP(X4,X5)!=hAPP(c_Option_Ooption_OSome(X2),X6))). 3.26/3.46 cnf(i_0_4992, 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)))). 3.26/3.46 cnf(i_0_2717, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),esk192_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))))). 3.26/3.46 cnf(i_0_7276, 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))). 3.26/3.46 cnf(i_0_6551, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk464_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)))). 3.26/3.46 cnf(i_0_5923, 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))))). 3.26/3.46 cnf(i_0_5924, 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))))). 3.26/3.46 cnf(i_0_5426, 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))))). 3.26/3.46 cnf(i_0_2090, 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))). 3.26/3.46 cnf(i_0_5673, 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))). 3.26/3.46 cnf(i_0_5873, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_List_Onth(X2),X3),X4)))|~c_List_Olist__all(X2,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))))). 3.26/3.46 cnf(i_0_2480, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(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))). 3.26/3.46 cnf(i_0_6549, 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)|esk465_4(X2,X3,X1,X4)!=X4|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_2562, 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)))). 3.26/3.46 cnf(i_0_3069, 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)))). 3.26/3.46 cnf(i_0_5490, 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)))). 3.26/3.46 cnf(i_0_1114, 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)))). 3.26/3.46 cnf(i_0_1113, 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)))). 3.26/3.46 cnf(i_0_2771, 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)))). 3.26/3.46 cnf(i_0_2422, 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)))). 3.26/3.46 cnf(i_0_3826, 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)))). 3.26/3.46 cnf(i_0_3857, plain, (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_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))). 3.26/3.46 cnf(i_0_5770, 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))))). 3.26/3.46 cnf(i_0_1213, 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)))). 3.26/3.46 cnf(i_0_4983, 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)))). 3.26/3.46 cnf(i_0_1271, 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)))). 3.26/3.46 cnf(i_0_3790, plain, (hBOOL(hAPP(hAPP(X1,X2),esk274_4(X3,X2,X4,X1)))|~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X5,X6,X7,X1,X4),X2),X3)))). 3.26/3.46 cnf(i_0_7539, 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)))). 3.26/3.46 cnf(i_0_5640, 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)))). 3.26/3.46 cnf(i_0_3789, plain, (hBOOL(hAPP(hAPP(X1,esk274_4(X2,X3,X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X5,X6,X7,X4,X1),X3),X2)))). 3.26/3.46 cnf(i_0_6264, 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))). 3.26/3.46 cnf(i_0_6457, 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))). 3.26/3.46 cnf(i_0_1932, 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))). 3.26/3.46 cnf(i_0_7309, 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))))). 3.26/3.46 cnf(i_0_1655, 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)))). 3.26/3.46 cnf(i_0_4382, 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))). 3.26/3.46 cnf(i_0_5138, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),esk370_2(X1,X2)),c_Int_OInteg))|hBOOL(hAPP(X2,X1)))). 3.26/3.46 cnf(i_0_2270, 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))). 3.26/3.46 cnf(i_0_6179, plain, (hBOOL(hAPP(X1,X2))|~c_Enum_Oall__n__lists(X3,X1,X4)|~class_Enum_Oenum(X3)|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X3)),X2),hAPP(c_List_Oset(tc_List_Olist(X3)),c_Enum_On__lists(X3,X4,c_Enum_Oenum__class_Oenum(X3))))))). 3.26/3.46 cnf(i_0_1224, 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))). 3.26/3.46 cnf(i_0_746, 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)))|~c_Int_Oiszero(X1,hAPP(c_Int_Onumber__class_Onumber__of(X1),X2))|~class_Int_Oring__char__0(X1)|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_5514, 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))). 3.26/3.46 cnf(i_0_2894, 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))))). 3.26/3.46 cnf(i_0_2213, 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)))). 3.26/3.46 cnf(i_0_2993, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),esk224_3(X2,X3,X1)))|hBOOL(hAPP(X2,X3))|~hBOOL(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_3717, 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)))))). 3.26/3.46 cnf(i_0_92, 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)))))). 3.26/3.46 cnf(i_0_5048, 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))). 3.26/3.46 cnf(i_0_1159, 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)))). 3.26/3.46 cnf(i_0_2847, 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)))). 3.26/3.46 cnf(i_0_2947, 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)))). 3.26/3.46 cnf(i_0_2370, 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)))). 3.26/3.46 cnf(i_0_6712, 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))). 3.26/3.46 cnf(i_0_2734, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X6)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X7)|~c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Oappend(X1),X6),X4),hAPP(hAPP(c_List_Oappend(X2),X7),X5)))). 3.26/3.46 cnf(i_0_2733, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)|~c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Oappend(X1),X4),X6),hAPP(hAPP(c_List_Oappend(X2),X5),X7)))). 3.26/3.46 cnf(i_0_1603, 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)))). 3.26/3.46 cnf(i_0_85, 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)))). 3.26/3.46 cnf(i_0_7535, 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)))). 3.26/3.46 cnf(i_0_1125, 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)))). 3.26/3.46 cnf(i_0_1414, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_5402, 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))). 3.26/3.46 cnf(i_0_6758, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(X1,c_Hilbert__Choice_OLeastM(X2,tc_Nat_Onat,X1,X3))),hAPP(X1,X4)))|~hBOOL(hAPP(X3,X4)))). 3.26/3.46 cnf(i_0_1628, 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))). 3.26/3.46 cnf(i_0_7519, 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))). 3.26/3.46 cnf(i_0_5769, 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))))). 3.26/3.46 cnf(i_0_485, 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))). 3.26/3.46 cnf(i_0_1377, 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))). 3.26/3.46 cnf(i_0_4597, 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))). 3.26/3.46 cnf(i_0_2399, 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))). 3.26/3.46 cnf(i_0_5077, 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))))). 3.26/3.46 cnf(i_0_7423, 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))))). 3.26/3.46 cnf(i_0_6852, 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)))). 3.26/3.46 cnf(i_0_1565, 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,esk112_3(X1,X3,X2)))|~hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_1549, 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,esk110_3(X1,X3,X2)))|~hBOOL(hAPP(X2,X3)))). 3.26/3.46 cnf(i_0_3140, 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)|~class_Int_Onumber__ring(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))))). 3.26/3.46 cnf(i_0_1261, 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)|~class_Int_Onumber__ring(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))))). 3.26/3.46 cnf(i_0_5678, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk413_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)))). 3.26/3.46 cnf(i_0_1786, 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,esk131_3(X1,X3,X2)),esk132_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_3013, 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,esk226_3(X1,X3,X2)),esk227_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_3569, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(X1,esk258_3(X1,X3,X2)),esk259_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_4971, 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)|~class_Int_Onumber__ring(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))))). 3.26/3.46 cnf(i_0_3232, 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)|~class_Int_Onumber__ring(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))))). 3.26/3.46 cnf(i_0_7174, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk510_2(X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X1)))|hBOOL(hAPP(c_List_Odistinct(X2),X1)))). 3.26/3.46 cnf(i_0_7173, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk511_2(X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X1)))|hBOOL(hAPP(c_List_Odistinct(X2),X1)))). 3.26/3.46 cnf(i_0_7128, 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))). 3.26/3.46 cnf(i_0_4292, 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,esk309_3(X1,X3,X2)),esk310_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_7031, 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,esk495_3(X1,X3,X2)),esk496_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_7445, 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,esk523_3(X1,X3,X2)),esk524_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_5314, plain, (hAPP(hAPP(c_Set_Oinsert(X1),esk387_3(X2,X3,X1)),esk388_3(X2,X3,X1))=X3|hAPP(c_Nat_OSuc,X2)!=hAPP(c_Finite__Set_Ocard(X1),X3))). 3.26/3.46 cnf(i_0_856, plain, (hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk68_2(X2,X1))))|hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,X2)))). 3.26/3.46 cnf(i_0_715, 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))))). 3.26/3.46 cnf(i_0_4617, 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))))). 3.26/3.46 cnf(i_0_5270, 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))). 3.26/3.46 cnf(i_0_6763, plain, (hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),X1))=X1|~c_List_Onat__list(X1))). 3.26/3.46 cnf(i_0_2177, 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))). 3.26/3.46 cnf(i_0_830, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_List_Onth(X3),X4),esk64_3(X1,X4,X3))))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 3.26/3.46 cnf(i_0_5009, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),esk361_4(X3,X2,X1,X4)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X4,X1)),X2),X3))|~hBOOL(hAPP(X4,X2)))). 3.26/3.46 cnf(i_0_4389, 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))). 3.26/3.46 cnf(i_0_3586, 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))). 3.26/3.46 cnf(i_0_2705, 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)))). 3.26/3.46 cnf(i_0_4101, 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)))). 3.26/3.46 cnf(i_0_3001, 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))))). 3.26/3.46 cnf(i_0_2681, 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)))). 3.26/3.46 cnf(i_0_4286, 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))). 3.26/3.46 cnf(i_0_5291, 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)). 3.26/3.46 cnf(i_0_4067, 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)))))). 3.26/3.46 cnf(i_0_1277, 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)))). 3.26/3.46 cnf(i_0_4995, 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))). 3.26/3.46 cnf(i_0_2830, 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)))). 3.26/3.46 cnf(i_0_1426, 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|c_List_Olist_ONil(X1)=X2)). 3.26/3.46 cnf(i_0_420, 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))))). 3.26/3.46 cnf(i_0_421, 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))))). 3.26/3.46 cnf(i_0_1688, 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)))). 3.26/3.46 cnf(i_0_6434, plain, (c_List_Olist__all(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk452_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_4693, 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))))). 3.26/3.46 cnf(i_0_6030, 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))))). 3.26/3.46 cnf(i_0_6963, 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)))). 3.26/3.46 cnf(i_0_7499, plain, (c_List_Olist__all(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk532_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_5592, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool))|c_Fun_Oinj__on(X2,X3,X4,c_Complete__Lattice_OInf__class_OInf(tc_fun(X2,tc_HOL_Obool),X1))|~c_Fun_Oinj__on(X2,X3,X4,esk407_4(X4,X3,X2,X1)))). 3.26/3.46 cnf(i_0_5010, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),esk361_4(X1,X2,X3,X4)))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X4,X3)),X2),X1)))). 3.26/3.46 cnf(i_0_2046, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))|~hBOOL(hAPP(c_List_Olistsp(X1,X3),X2)))). 3.26/3.46 cnf(i_0_791, plain, (c_List_Olist__all(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk57_3(X2,X3,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_2688, 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)))). 3.26/3.46 cnf(i_0_4677, 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))))). 3.26/3.46 cnf(i_0_3779, 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))). 3.26/3.46 cnf(i_0_2306, 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))). 3.26/3.46 cnf(i_0_200, 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))))))). 3.26/3.46 cnf(i_0_894, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(X3,X4)|hAPP(X5,X4)=hAPP(c_Option_Ooption_OSome(X1),X2)|hAPP(c_Map_Omap__add(X6,X1,X3,X5),X4)!=hAPP(c_Option_Ooption_OSome(X1),X2))). 3.26/3.46 cnf(i_0_2902, 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))). 3.26/3.46 cnf(i_0_154, 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)))). 3.26/3.46 cnf(i_0_1511, 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)))). 3.26/3.46 cnf(i_0_1719, 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,esk122_4(X4,X1,X2,hAPP(c_Set_Oimage(X1,X2,X3),X4)),hAPP(c_Set_Oimage(X1,X2,X3),X4)))). 3.26/3.46 cnf(i_0_6505, 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)))). 3.26/3.46 cnf(i_0_3766, 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)))). 3.26/3.46 cnf(i_0_2872, 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)))). 3.26/3.46 cnf(i_0_4684, plain, (c_List_OtakeWhile(X1,X2,X3)=X3|hBOOL(hAPP(hAPP(c_member(X1),esk337_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_5939, 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))))). 3.26/3.46 cnf(i_0_6983, 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))|X2=c_List_Olist_ONil(X1))). 3.26/3.46 cnf(i_0_3512, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk254_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.46 cnf(i_0_161, 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)))). 3.26/3.46 cnf(i_0_4446, 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))). 3.26/3.46 cnf(i_0_1512, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),c_Big__Operators_Olinorder__class_OMax(X2,X1)),X1))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.46 cnf(i_0_1604, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),c_Big__Operators_Olinorder__class_OMin(X1,X2)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.46 cnf(i_0_1375, 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)))). 3.26/3.46 cnf(i_0_921, 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)))). 3.26/3.46 cnf(i_0_4198, 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))))). 3.26/3.46 cnf(i_0_3415, 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))). 3.26/3.46 cnf(i_0_7058, 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)))). 3.26/3.46 cnf(i_0_2881, 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)))). 3.26/3.46 cnf(i_0_295, 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))). 3.26/3.46 cnf(i_0_7097, 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)))). 3.26/3.46 cnf(i_0_7098, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|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),c_Groups_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2)))). 3.26/3.46 cnf(i_0_5867, 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)))). 3.26/3.46 cnf(i_0_2155, 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)))). 3.26/3.46 cnf(i_0_5529, 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,esk403_2(X2,X1))))=X2|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 3.26/3.46 cnf(i_0_6422, 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))). 3.26/3.46 cnf(i_0_5868, 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)))). 3.26/3.46 cnf(i_0_2156, 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)))). 3.26/3.46 cnf(i_0_2158, 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))). 3.26/3.46 cnf(i_0_7255, 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)))))). 3.26/3.46 cnf(i_0_7014, 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)))). 3.26/3.46 cnf(i_0_495, 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)))). 3.26/3.46 cnf(i_0_5421, 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)))). 3.26/3.46 cnf(i_0_2025, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5),X6))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X2),X4),X5),X6))|~hBOOL(hAPP(X1,X4)))). 3.26/3.46 cnf(i_0_6149, 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))). 3.26/3.46 cnf(i_0_2413, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk172_5(X2,X3,X4,X1,X5)),X2))|~c_Wellfounded_Omax__extp(X1,X4,X3,X2)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X3)))). 3.26/3.46 cnf(i_0_3207, 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)|X5=X3)). 3.26/3.46 cnf(i_0_3687, 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))))). 3.26/3.46 cnf(i_0_2737, 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)))). 3.26/3.46 cnf(i_0_2275, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk161_3(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X3),c_Relation_OId__on(X1,X2))))). 3.26/3.46 cnf(i_0_1068, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X1,X3,X4,X5,X6)))|~hBOOL(hAPP(hAPP(X4,X2),X6))|~hBOOL(hAPP(hAPP(X3,X5),X2)))). 3.26/3.46 cnf(i_0_6603, 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)))). 3.26/3.46 cnf(i_0_3134, 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)))). 3.26/3.46 cnf(i_0_2254, 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)))). 3.26/3.46 cnf(i_0_3714, 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)))). 3.26/3.46 cnf(i_0_628, 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)))). 3.26/3.46 cnf(i_0_7489, 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))))). 3.26/3.46 cnf(i_0_6523, 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))))). 3.26/3.46 cnf(i_0_7476, 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))). 3.26/3.46 cnf(i_0_993, plain, (c_List_Olist_ONil(X1)=X2|hBOOL(hAPP(hAPP(c_member(X1),esk76_3(X3,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))))). 3.26/3.46 cnf(i_0_915, plain, (c_Equiv__Relations_Ocongruent(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk73_4(X4,X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_4699, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk338_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))))). 3.26/3.46 cnf(i_0_6953, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk492_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)))). 3.26/3.46 cnf(i_0_3466, 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)))). 3.26/3.46 cnf(i_0_1693, 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)))). 3.26/3.46 cnf(i_0_5537, 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))))). 3.26/3.46 cnf(i_0_3786, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=X3|hBOOL(hAPP(hAPP(c_member(X1),esk273_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_3913, 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)))). 3.26/3.46 cnf(i_0_1650, 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)))). 3.26/3.46 cnf(i_0_6371, 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)))). 3.26/3.46 cnf(i_0_2014, 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))))). 3.26/3.46 cnf(i_0_2808, 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)))). 3.26/3.46 cnf(i_0_7061, 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)))). 3.26/3.46 cnf(i_0_5738, 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)))). 3.26/3.46 cnf(i_0_2110, 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))))). 3.26/3.46 cnf(i_0_5322, 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)))). 3.26/3.46 cnf(i_0_1625, 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))). 3.26/3.46 cnf(i_0_3166, 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)))). 3.26/3.46 cnf(i_0_5256, plain, (hAPP(c_Set_Oimage(X1,X2,X3),esk383_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))))). 3.26/3.46 cnf(i_0_3858, plain, (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)))|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))). 3.26/3.46 cnf(i_0_3859, plain, (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(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))). 3.26/3.46 cnf(i_0_549, 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(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X1)))|~hBOOL(hAPP(X2,esk40_3(X1,X3,X2)))|~hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_1374, 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))). 3.26/3.46 cnf(i_0_614, 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))). 3.26/3.46 cnf(i_0_3111, 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))). 3.26/3.46 cnf(i_0_5043, 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))))). 3.26/3.46 cnf(i_0_581, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))|hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X1)))|~hBOOL(hAPP(X2,esk42_3(X1,X3,X2)))|~hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_427, 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)))). 3.26/3.46 cnf(i_0_5025, 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)))). 3.26/3.46 cnf(i_0_6015, 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))). 3.26/3.46 cnf(i_0_3162, 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)))). 3.26/3.46 cnf(i_0_775, 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)))). 3.26/3.46 cnf(i_0_3915, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),esk286_3(X2,X1,X4))),X2))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X4)))). 3.26/3.46 cnf(i_0_3271, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5)=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(X3,X4)),hAPP(X3,esk237_5(X4,X3,X5,X1,X2)))))). 3.26/3.46 cnf(i_0_1870, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk140_3(X1,X2,X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X1)))|~c_List_Olist__ex(X3,X2,X1))). 3.26/3.46 cnf(i_0_6557, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk466_3(X2,X3,X1)),hAPP(c_List_Oset(X1),X2)))|hBOOL(hAPP(c_List_Olistsp(X1,X3),X2)))). 3.26/3.46 cnf(i_0_3454, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X5),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X5),X3)))). 3.26/3.46 cnf(i_0_5205, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),esk376_3(X2,X3,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X2))|~class_Fields_Olinordered__field__inverse__zero(X1))). 3.26/3.46 cnf(i_0_2675, plain, (c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))|hBOOL(hAPP(X3,esk189_4(X1,X4,X2,X3))))). 3.26/3.46 cnf(i_0_6499, 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)))). 3.26/3.46 cnf(i_0_522, 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,esk36_5(X1,X6,X5,X4,X3))))). 3.26/3.46 cnf(i_0_5026, 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,esk363_4(X4,X3,X1,X2))),hAPP(X4,esk363_4(X4,X3,X1,X2)))))). 3.26/3.46 cnf(i_0_5204, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),esk376_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))). 3.26/3.46 cnf(i_0_5712, 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))))). 3.26/3.46 cnf(i_0_3551, 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)))). 3.26/3.46 cnf(i_0_4172, 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))). 3.26/3.46 cnf(i_0_5535, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,X1)),X2),hAPP(c_Nat_OSuc,X3)),X4)))). 3.26/3.46 cnf(i_0_3392, 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)))). 3.26/3.46 cnf(i_0_1704, 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)))). 3.26/3.46 cnf(i_0_5861, 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)))). 3.26/3.46 cnf(i_0_4976, 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))). 3.26/3.46 cnf(i_0_7369, 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))). 3.26/3.46 cnf(i_0_1503, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),esk106_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)))). 3.26/3.46 cnf(i_0_6290, 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)))). 3.26/3.46 cnf(i_0_717, plain, (c_Fun_Oinj__on(X1,X2,esk54_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)))). 3.26/3.46 cnf(i_0_3032, 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)))). 3.26/3.46 cnf(i_0_1831, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(X2),X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.46 cnf(i_0_832, 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,esk63_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_5754, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)),X3)=hAPP(c_Int_Oring__1__class_Oof__int(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X3))|~class_Rings_Oring__1(X1))). 3.26/3.46 cnf(i_0_6548, 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,esk465_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)))). 3.26/3.46 cnf(i_0_2182, plain, (X1=c_List_Olist_ONil(X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),esk159_2(X1,X2)),X3))|~c_List_Olinorder__class_Osorted(X2,X1)|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_member(X2),X3),hAPP(c_List_Oset(X2),esk158_2(X1,X2)))))). 3.26/3.46 cnf(i_0_4482, 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)))). 3.26/3.46 cnf(i_0_487, 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)))). 3.26/3.46 cnf(i_0_1531, 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)))). 3.26/3.46 cnf(i_0_1193, 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)))). 3.26/3.46 cnf(i_0_6102, 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)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_3226, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),X3)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X3))|~class_Rings_Osemiring__1(X1))). 3.26/3.46 cnf(i_0_4888, 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)))). 3.26/3.46 cnf(i_0_4935, 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)))). 3.26/3.46 cnf(i_0_698, 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)))). 3.26/3.46 cnf(i_0_2599, 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,esk179_4(X4,X1,X3,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.46 cnf(i_0_289, 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)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Oone__class_Oone(X1)),X2))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_7329, 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)))). 3.26/3.46 cnf(i_0_229, 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)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X2))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_6055, 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))))). 3.26/3.46 cnf(i_0_6694, 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))). 3.26/3.46 cnf(i_0_6452, 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,esk455_4(X4,X1,X3,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.46 cnf(i_0_4760, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))=X4|hAPP(hAPP(c_Product__Type_OSigma(X1,X3),X2),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X1),X4))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X3),tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_1810, 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))))). 3.26/3.46 cnf(i_0_443, 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))))). 3.26/3.46 cnf(i_0_824, 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))). 3.26/3.46 cnf(i_0_4641, plain, (~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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~class_Int_Oring__char__0(X1)|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_5232, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_3469, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 3.26/3.46 cnf(i_0_1975, 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))). 3.26/3.46 cnf(i_0_6140, 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))). 3.26/3.46 cnf(i_0_2161, 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))). 3.26/3.46 cnf(i_0_6962, 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))). 3.26/3.46 cnf(i_0_179, 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),X1),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)))). 3.26/3.46 cnf(i_0_6653, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_2288, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_2795, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_1744, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X2))))). 3.26/3.46 cnf(i_0_2035, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk146_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))))). 3.26/3.46 cnf(i_0_2280, 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))))). 3.26/3.46 cnf(i_0_4112, 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,esk301_5(X5,X4,X3,X2,X1)))))). 3.26/3.46 cnf(i_0_5814, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_1410, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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_HOL_Oequal__class_Oequal(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),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)))))). 3.26/3.46 cnf(i_0_11, 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,esk3_5(X5,X4,X3,X2,X1))),X5)))). 3.26/3.46 cnf(i_0_871, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(X3,X4)|X4=X5|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))). 3.26/3.46 cnf(i_0_873, 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))). 3.26/3.46 cnf(i_0_4384, 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)))). 3.26/3.46 cnf(i_0_3516, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk254_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1))))). 3.26/3.46 cnf(i_0_1634, 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)))). 3.26/3.46 cnf(i_0_4838, 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_Oone__class_Oone(tc_Nat_Onat)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)))). 3.26/3.46 cnf(i_0_2111, 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_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)),X1)))). 3.26/3.46 cnf(i_0_6587, 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),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 3.26/3.46 cnf(i_0_3113, 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),X1),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)))))). 3.26/3.46 cnf(i_0_2968, plain, (c_List_Olinorder__class_Osorted(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk221_2(X2,X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_404, 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)))). 3.26/3.46 cnf(i_0_5680, 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)|esk412_4(X2,X3,X1,X4)!=X4|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_5234, 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))). 3.26/3.46 cnf(i_0_5507, plain, (c_List_Olinorder__class_Osorted(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk401_2(X2,X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_496, 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)))). 3.26/3.46 cnf(i_0_3496, 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),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X4)))). 3.26/3.46 cnf(i_0_5033, 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),X1),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)))))). 3.26/3.46 cnf(i_0_4937, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),esk355_3(X3,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X3),X3))|~hBOOL(hAPP(X1,X3)))). 3.26/3.46 cnf(i_0_4608, 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)))). 3.26/3.46 cnf(i_0_968, 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))))). 3.26/3.46 cnf(i_0_7429, plain, (hAPP(c_List_Ofilter(X1,X2),X3)=c_List_Olist_ONil(X1)|hBOOL(hAPP(hAPP(c_member(X1),esk522_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_7260, 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),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 3.26/3.46 cnf(i_0_6654, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),X3),X4),hAPP(c_Option_Ooption_OSome(X2),X5))=X3|hAPP(c_Option_Ooption_OSome(X2),X5)!=hAPP(X3,X4))). 3.26/3.46 cnf(i_0_6176, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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_HOL_Oequal__class_Oequal(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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_5875, plain, (c_List_Olist__all(X1,X2,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk427_3(X3,X2,X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 3.26/3.46 cnf(i_0_969, plain, (hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(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)),X2),X4)),hAPP(c_List_Olexn(X1,X5),X3))))). 3.26/3.46 cnf(i_0_520, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(X4,X5)))|~hBOOL(hAPP(X1,esk37_5(X1,X4,X6,X7,X3)))|~hBOOL(hAPP(hAPP(c_member(X7),X5),X6)))). 3.26/3.46 cnf(i_0_3791, plain, (hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X2,X3,X4,X5),X6),X7))|~hBOOL(hAPP(hAPP(X5,X8),X7))|~hBOOL(hAPP(hAPP(X4,X6),X8)))). 3.26/3.46 cnf(i_0_4770, 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),esk344_3(X3,X2,X1)),X2)))). 3.26/3.46 cnf(i_0_3010, 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))))). 3.26/3.46 cnf(i_0_309, 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)))). 3.26/3.46 cnf(i_0_5999, 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))))). 3.26/3.46 cnf(i_0_5153, 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))))). 3.26/3.46 cnf(i_0_5839, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_4769, 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),esk345_3(X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_7242, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_member(X1),hAPP(X3,esk513_5(X5,X3,X1,X4,X2))),X5)))). 3.26/3.46 cnf(i_0_5381, 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))). 3.26/3.46 cnf(i_0_2447, 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))). 3.26/3.46 cnf(i_0_5934, 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))))). 3.26/3.46 cnf(i_0_3631, 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)))). 3.26/3.46 cnf(i_0_3692, 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)))). 3.26/3.46 cnf(i_0_3799, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk277_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))))). 3.26/3.46 cnf(i_0_5320, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_3663, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|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)))))). 3.26/3.46 cnf(i_0_6634, plain, (hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5)=hAPP(c_Option_Ooption_OSome(X2),X6)|hAPP(X3,X5)!=hAPP(c_Option_Ooption_OSome(X2),X6)|c_Option_Ooption_ONone(X2)!=hAPP(X4,X5))). 3.26/3.46 cnf(i_0_6205, 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))). 3.26/3.46 cnf(i_0_6907, plain, (c_List_Olist__ex1(X1,X2,X3)|hBOOL(hAPP(X2,esk490_4(X3,X2,X1,X4)))|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.46 cnf(i_0_2671, 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)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),X1)),X2))))). 3.26/3.46 cnf(i_0_1958, 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)))). 3.26/3.46 cnf(i_0_1968, 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)))). 3.26/3.46 cnf(i_0_3995, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_6595, 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))). 3.26/3.46 cnf(i_0_4535, plain, (hBOOL(hAPP(X1,X2))|hAPP(hAPP(c_List_Odrop(X3),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),c_List_OtakeWhile(X3,X1,X4))),X4)!=c_List_Olist_ONil(X3)|~hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_List_Oset(X3),X4))))). 3.26/3.46 cnf(i_0_1890, 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)))). 3.26/3.46 cnf(i_0_2006, 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)))). 3.26/3.46 cnf(i_0_7133, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk508_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)))). 3.26/3.46 cnf(i_0_5645, 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)))). 3.26/3.46 cnf(i_0_1706, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk121_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))). 3.26/3.46 cnf(i_0_2884, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_2779, 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)))). 3.26/3.46 cnf(i_0_5547, 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)))). 3.26/3.46 cnf(i_0_5546, 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)))). 3.26/3.46 cnf(i_0_2050, 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)))). 3.26/3.46 cnf(i_0_5860, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk426_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))). 3.26/3.46 cnf(i_0_4124, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),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),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_2528, 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)))). 3.26/3.46 cnf(i_0_1480, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5),X6))|hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X3),X4),X5),X6)))). 3.26/3.46 cnf(i_0_4041, plain, (c_List_Oinsert(X1,X2,X3)=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_1467, plain, (hAPP(X1,esk103_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)))))). 3.26/3.46 cnf(i_0_288, 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))). 3.26/3.46 cnf(i_0_1590, 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,esk112_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_1574, 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,esk110_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_6019, plain, (c_List_Otranspose(X1,X2)=c_List_Olist_ONil(tc_List_Olist(X1))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk434_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2))))). 3.26/3.46 cnf(i_0_7201, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk512_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_Ocomm__semiring__1(X4)|~class_Rings_Ono__zero__divisors(X4)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_5361, 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)))). 3.26/3.46 cnf(i_0_5273, 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))))). 3.26/3.46 cnf(i_0_5834, 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)))). 3.26/3.46 cnf(i_0_6089, 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)))). 3.26/3.46 cnf(i_0_850, 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)))). 3.26/3.46 cnf(i_0_1868, 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))). 3.26/3.46 cnf(i_0_5235, 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)))). 3.26/3.46 cnf(i_0_1713, 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))). 3.26/3.46 cnf(i_0_3139, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 3.26/3.46 cnf(i_0_1262, 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_Rings_Olinordered__idom(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)))). 3.26/3.46 cnf(i_0_4972, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_3231, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_533, 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))))). 3.26/3.46 cnf(i_0_4698, plain, (c_Wellfounded_Oacyclic(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2))|~c_Wellfounded_Oacyclic(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),c_Predicate_Oconversep(X1,X1,X2))))). 3.26/3.46 cnf(i_0_218, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk12_4(X2,X3,X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Set_Oimage(X1,X5,X3),X2))))). 3.26/3.46 cnf(i_0_2101, 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)))). 3.26/3.46 cnf(i_0_3318, 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)))). 3.26/3.46 cnf(i_0_3866, 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)))). 3.26/3.46 cnf(i_0_3016, 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)))). 3.26/3.46 cnf(i_0_3803, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk277_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 3.26/3.46 cnf(i_0_4541, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk332_4(X2,X3,X1,X4)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Set_Oimage(X1,X5,X3),X2))))). 3.26/3.46 cnf(i_0_7433, 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))). 3.26/3.46 cnf(i_0_1757, 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))))). 3.26/3.46 cnf(i_0_2238, 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))))). 3.26/3.46 cnf(i_0_5400, 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)))). 3.26/3.46 cnf(i_0_971, 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)))). 3.26/3.46 cnf(i_0_3046, 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)))). 3.26/3.46 cnf(i_0_2532, 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))))). 3.26/3.46 cnf(i_0_841, 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))))). 3.26/3.46 cnf(i_0_6129, 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)))). 3.26/3.46 cnf(i_0_2461, 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)))). 3.26/3.46 cnf(i_0_1789, 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)))). 3.26/3.46 cnf(i_0_3169, 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)))). 3.26/3.46 cnf(i_0_5319, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),X3))|hAPP(c_Finite__Set_Ocard(X1),X3)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(X1),X2),X3)))). 3.26/3.46 cnf(i_0_837, 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))))). 3.26/3.46 cnf(i_0_298, 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))). 3.26/3.46 cnf(i_0_776, 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)))). 3.26/3.46 cnf(i_0_2004, 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)))). 3.26/3.46 cnf(i_0_286, 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)))). 3.26/3.46 cnf(i_0_6918, 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(hAPP(c_Rings_Oinverse__class_Odivide(X2),X1),X4)!=hAPP(c_Int_Onumber__class_Onumber__of(X2),X3)|~class_Fields_Ofield__inverse__zero(X2)|~class_Int_Onumber(X2))). 3.26/3.46 cnf(i_0_5175, 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))). 3.26/3.46 cnf(i_0_5571, 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)))). 3.26/3.46 cnf(i_0_5808, 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)))))). 3.26/3.46 cnf(i_0_3916, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(X1),esk285_3(X2,X1,X3)),esk283_2(X2,X1)))|~hBOOL(hAPP(hAPP(c_member(X1),X3),esk283_2(X2,X1))))). 3.26/3.46 cnf(i_0_3037, 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)))). 3.26/3.46 cnf(i_0_448, 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))). 3.26/3.46 cnf(i_0_1498, 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)))). 3.26/3.46 cnf(i_0_3211, 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)))). 3.26/3.46 cnf(i_0_1779, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2)))). 3.26/3.46 cnf(i_0_5688, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=X4|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2))). 3.26/3.46 cnf(i_0_1196, plain, (hAPP(hAPP(c_List_Omap(X1,X2),X3),X4)=hAPP(hAPP(c_List_Omap(X1,X2),X5),X4)|hAPP(X3,esk90_5(X5,X4,X3,X2,X1))!=hAPP(X5,esk90_5(X5,X4,X3,X2,X1)))). 3.26/3.46 cnf(i_0_5321, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~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)))). 3.26/3.46 cnf(i_0_5813, 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),X1),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)),X1)))). 3.26/3.46 cnf(i_0_5838, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~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)))). 3.26/3.46 cnf(i_0_2796, 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),X1),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)),X1)))). 3.26/3.46 cnf(i_0_604, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk44_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)))))). 3.26/3.46 cnf(i_0_1894, 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))))). 3.26/3.46 cnf(i_0_1920, 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))). 3.26/3.46 cnf(i_0_6118, 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))))). 3.26/3.46 cnf(i_0_6175, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)))). 3.26/3.46 cnf(i_0_991, 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)))). 3.26/3.46 cnf(i_0_5233, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 3.26/3.46 cnf(i_0_5034, 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),X1),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))))|~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)))))). 3.26/3.46 cnf(i_0_1143, 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),esk84_2(X1,X2)),X2)))). 3.26/3.46 cnf(i_0_6825, plain, (hAPP(X1,esk481_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))))). 3.26/3.46 cnf(i_0_2738, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_2451, 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)))). 3.26/3.46 cnf(i_0_2287, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),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))))). 3.26/3.46 cnf(i_0_3114, 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),X1),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))))|~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)))))). 3.26/3.46 cnf(i_0_6652, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),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))))). 3.26/3.46 cnf(i_0_1411, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),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))))|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))). 3.26/3.46 cnf(i_0_7339, 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)). 3.26/3.46 cnf(i_0_2274, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk161_3(X2,X3,X1)),esk161_3(X2,X3,X1))=X3|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X3),c_Relation_OId__on(X1,X2))))). 3.26/3.46 cnf(i_0_4032, 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(X2,X3)),hAPP(hAPP(c_Product__Type_OSigma(X2,X3),X1),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X2),X4)))))). 3.26/3.46 cnf(i_0_6728, 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(X3,X1)),hAPP(hAPP(c_Product__Type_OSigma(X3,X1),X4),hAPP(c_COMBK(tc_fun(X1,tc_HOL_Obool),X3),X2)))))). 3.26/3.46 cnf(i_0_550, plain, (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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X1)))|~hBOOL(hAPP(X2,esk40_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_582, 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)),X1))|hBOOL(hAPP(X2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X1)))|~hBOOL(hAPP(X2,esk42_3(X1,X3,X2))))). 3.26/3.46 cnf(i_0_1166, 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))). 3.26/3.46 cnf(i_0_817, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 3.26/3.46 cnf(i_0_3431, 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)))). 3.26/3.46 cnf(i_0_1328, 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)))). 3.26/3.46 cnf(i_0_3195, 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)))). 3.26/3.46 cnf(i_0_3182, 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)))). 3.26/3.46 cnf(i_0_439, 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))))). 3.26/3.46 cnf(i_0_4301, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X3)))). 3.26/3.46 cnf(i_0_4073, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),X3)))). 3.26/3.46 cnf(i_0_5331, 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),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X4)))). 3.26/3.46 cnf(i_0_5011, plain, (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),esk361_4(X3,X4,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2)),X4),X3))|~hBOOL(hAPP(X1,X4)))). 3.26/3.46 cnf(i_0_4633, 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,esk336_5(X5,X4,X3,X2,X1)))))). 3.26/3.46 cnf(i_0_3685, 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),X2),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 3.26/3.46 cnf(i_0_3161, 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)))). 3.26/3.46 cnf(i_0_1876, 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))))). 3.26/3.46 cnf(i_0_5927, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),c_List_Olinorder__class_Osort__key(X1,X2,X3,X5))=c_List_Olinorder__class_Osort__key(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))|~class_Orderings_Olinorder(X2))). 3.26/3.46 cnf(i_0_6013, 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)))). 3.26/3.46 cnf(i_0_5036, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk365_4(X2,X3,hAPP(c_Option_Ooption_OSome(X1),X2),X1)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|hBOOL(hAPP(X3,X2)))). 3.26/3.46 cnf(i_0_3145, plain, (c_Map_Omap__upds(X1,X2,X3,X4,hAPP(hAPP(c_List_Oappend(X2),X5),X6))=c_Map_Omap__upds(X1,X2,X3,X4,X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))). 3.26/3.46 cnf(i_0_5971, plain, (c_Map_Omap__upds(X1,X2,X3,hAPP(hAPP(c_List_Oappend(X1),X4),X5),X6)=c_Map_Omap__upds(X1,X2,X3,X4,X6)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X6)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))). 3.26/3.46 cnf(i_0_5095, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(X3,esk366_4(X3,X4,X2,X1))))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_3359, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(X3,esk242_4(X3,X4,X2,X1))))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_7277, 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)))). 3.26/3.46 cnf(i_0_6720, 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))))). 3.26/3.46 cnf(i_0_5422, 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)))). 3.26/3.46 cnf(i_0_5435, 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)))))). 3.26/3.46 cnf(i_0_231, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X2))|~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))|~class_Rings_Olinordered__semidom(X3))). 3.26/3.46 cnf(i_0_240, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X2))|~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))|~class_Rings_Olinordered__semidom(X3))). 3.26/3.46 cnf(i_0_3154, 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)))). 3.26/3.46 cnf(i_0_1900, 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)))). 3.26/3.46 cnf(i_0_4197, 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))))). 3.26/3.46 cnf(i_0_3598, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk261_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))))). 3.26/3.46 cnf(i_0_1858, 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)))))). 3.26/3.46 cnf(i_0_5012, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),esk361_4(X1,X2,X4,X3)),X1))|~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4)),X2),X1)))). 3.26/3.46 cnf(i_0_5820, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk424_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))))). 3.26/3.46 cnf(i_0_5363, 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))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_630, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Otake(X1),X4),X5),hAPP(hAPP(c_List_Otake(X2),X4),X6))|~c_List_Olist__all2(X1,X2,X3,X5,X6))). 3.26/3.46 cnf(i_0_1807, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Odrop(X1),X4),X5),hAPP(hAPP(c_List_Odrop(X2),X4),X6))|~c_List_Olist__all2(X1,X2,X3,X5,X6))). 3.26/3.46 cnf(i_0_7077, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),esk501_4(X1,X4,X2,X3)),esk502_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)))). 3.26/3.46 cnf(i_0_3503, 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))). 3.26/3.46 cnf(i_0_6623, 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)))). 3.26/3.46 cnf(i_0_1974, 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))))). 3.26/3.46 cnf(i_0_4582, 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))))). 3.26/3.46 cnf(i_0_6246, 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)))). 3.26/3.46 cnf(i_0_973, 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))). 3.26/3.46 cnf(i_0_4348, 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)))). 3.26/3.46 cnf(i_0_1527, 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)))). 3.26/3.46 cnf(i_0_3002, plain, (hAPP(X1,X2)=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X3,tc_HOL_Obool)),X5),X1)!=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(X4),X2),X5)))). 3.26/3.46 cnf(i_0_2554, 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)))). 3.26/3.46 cnf(i_0_1483, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),X4))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X5),X2),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(X6,X5,X1)),X2),X3),X4)))). 3.26/3.46 cnf(i_0_1169, plain, (c_Orderings_Obot__class_Obot(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)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(hAPP(c_member(X4),X3),X5)))). 3.26/3.46 cnf(i_0_2837, 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),esk212_3(X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_4277, 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)))). 3.26/3.46 cnf(i_0_5763, 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)))). 3.26/3.46 cnf(i_0_3713, 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),esk267_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_3961, 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))))). 3.26/3.46 cnf(i_0_4047, 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))))). 3.26/3.46 cnf(i_0_6866, 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)))). 3.26/3.46 cnf(i_0_6221, 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)))). 3.26/3.46 cnf(i_0_3136, 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),esk232_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_5750, 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)))). 3.26/3.46 cnf(i_0_1063, 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))). 3.26/3.46 cnf(i_0_2980, 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)))). 3.26/3.46 cnf(i_0_947, 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)))). 3.26/3.46 cnf(i_0_1017, 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)))). 3.26/3.46 cnf(i_0_5669, 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)))). 3.26/3.46 cnf(i_0_1646, 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))). 3.26/3.46 cnf(i_0_6741, 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)))). 3.26/3.46 cnf(i_0_2791, 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)))). 3.26/3.46 cnf(i_0_4116, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))|~hBOOL(hAPP(hAPP(X5,esk302_4(X5,X4,X3,X2)),esk304_4(X5,X4,X3,X2))))). 3.26/3.46 cnf(i_0_2538, 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)))). 3.26/3.46 cnf(i_0_732, 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))). 3.26/3.46 cnf(i_0_600, 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)))))). 3.26/3.46 cnf(i_0_5358, plain, (hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))|~hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))|~hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)))). 3.26/3.46 cnf(i_0_1616, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),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),X2),X4))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_4516, 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)))). 3.26/3.46 cnf(i_0_6166, 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))). 3.26/3.46 cnf(i_0_3593, 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_Olattice__class_OInf__fin(X2,X1)),c_Big__Operators_Olattice__class_OSup__fin(X2,X1)))|~class_Lattices_Olattice(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.46 cnf(i_0_3133, 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))). 3.26/3.46 cnf(i_0_3184, 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))). 3.26/3.46 cnf(i_0_393, 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))). 3.26/3.46 cnf(i_0_2975, 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))). 3.26/3.46 cnf(i_0_7138, 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)))). 3.26/3.46 cnf(i_0_7190, 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)))). 3.26/3.46 cnf(i_0_5163, 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)))). 3.26/3.46 cnf(i_0_2550, 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))). 3.26/3.46 cnf(i_0_6345, 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))). 3.26/3.46 cnf(i_0_5408, 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))). 3.26/3.46 cnf(i_0_7088, 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)))). 3.26/3.46 cnf(i_0_599, 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))). 3.26/3.46 cnf(i_0_5103, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_HOL_Obool,X1),X2),c_Option_Ooption_OSome(X1))))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(X1)),X2)))). 3.26/3.46 cnf(i_0_3919, 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))). 3.26/3.46 cnf(i_0_1112, 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)))). 3.26/3.46 cnf(i_0_2416, 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,esk171_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)))). 3.26/3.46 cnf(i_0_5114, 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)))). 3.26/3.46 cnf(i_0_5749, 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)))). 3.26/3.46 cnf(i_0_4616, 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))))). 3.26/3.46 cnf(i_0_459, 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)))). 3.26/3.46 cnf(i_0_307, 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)))). 3.26/3.46 cnf(i_0_2349, 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)))). 3.26/3.46 cnf(i_0_5212, 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))). 3.26/3.46 cnf(i_0_2021, 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),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))))). 3.26/3.46 cnf(i_0_4572, 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))))). 3.26/3.46 cnf(i_0_1984, 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)))))). 3.26/3.46 cnf(i_0_1537, plain, (hAPP(c_Set_Oimage(X1,X2,X3),esk108_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)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 3.26/3.46 cnf(i_0_4102, 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)))). 3.26/3.46 cnf(i_0_4092, 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)))). 3.26/3.46 cnf(i_0_3000, 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)))). 3.26/3.46 cnf(i_0_2680, 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)))). 3.26/3.46 cnf(i_0_6286, 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))|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X2|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.46 cnf(i_0_3929, 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))). 3.26/3.46 cnf(i_0_5488, 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))). 3.26/3.46 cnf(i_0_7224, 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))). 3.26/3.46 cnf(i_0_4417, 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)))). 3.26/3.46 cnf(i_0_5718, 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)))). 3.26/3.46 cnf(i_0_1042, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk78_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))))). 3.26/3.46 cnf(i_0_1873, 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))))). 3.26/3.46 cnf(i_0_6308, 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))). 3.26/3.46 cnf(i_0_6035, 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)))). 3.26/3.46 cnf(i_0_3080, 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))). 3.26/3.46 cnf(i_0_4361, 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))). 3.26/3.46 cnf(i_0_7472, 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)))). 3.26/3.46 cnf(i_0_7544, 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))). 3.26/3.46 cnf(i_0_3228, 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))))). 3.26/3.46 cnf(i_0_6940, 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))). 3.26/3.46 cnf(i_0_3535, 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))). 3.26/3.46 cnf(i_0_6244, 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))). 3.26/3.46 cnf(i_0_7473, 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)))). 3.26/3.46 cnf(i_0_7426, plain, (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)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),X2))|~class_Fields_Ofield__inverse__zero(X1)|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_5984, 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))). 3.26/3.46 cnf(i_0_6490, 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))). 3.26/3.46 cnf(i_0_799, plain, (X1=c_Big__Operators_Olinorder__class_OMax(X2,X3)|hBOOL(hAPP(hAPP(c_member(X2),esk58_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)))). 3.26/3.46 cnf(i_0_1419, plain, (c_Big__Operators_Olinorder__class_OMin(X1,X2)=X3|hBOOL(hAPP(hAPP(c_member(X1),esk100_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)))). 3.26/3.46 cnf(i_0_1784, 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))). 3.26/3.46 cnf(i_0_1945, 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)))). 3.26/3.46 cnf(i_0_1005, 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)))). 3.26/3.46 cnf(i_0_7159, 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)))). 3.26/3.46 cnf(i_0_1883, 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)))). 3.26/3.46 cnf(i_0_4729, 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))). 3.26/3.46 cnf(i_0_7321, 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))). 3.26/3.46 cnf(i_0_7405, plain, (c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))=hAPP(hAPP(c_List_Oappend(X1),X3),c_List_OtakeWhile(X1,X2,X4))|~hBOOL(hAPP(X2,esk520_4(X4,X2,X3,X1))))). 3.26/3.46 cnf(i_0_4821, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk350_5(X2,X3,X1,X4,X5)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Relation_OImage(X1,X5,X3),X2))))). 3.26/3.46 cnf(i_0_5826, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk425_5(X2,X3,X1,X4,X5)),X2))|~hBOOL(hAPP(hAPP(c_member(X5),X4),hAPP(c_Relation_OImage(X1,X5,X3),X2))))). 3.26/3.46 cnf(i_0_7011, 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))))). 3.26/3.46 cnf(i_0_2049, 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)))). 3.26/3.46 cnf(i_0_1569, 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)))). 3.26/3.46 cnf(i_0_3387, 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))). 3.26/3.46 cnf(i_0_1295, 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)). 3.26/3.46 cnf(i_0_3286, 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(hAPP(c_member(X1),X2),X4)))). 3.26/3.46 cnf(i_0_896, 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))). 3.26/3.46 cnf(i_0_3435, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Complete__Lattice_OSup__class_OSup(X1,X3)))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X4)))). 3.26/3.46 cnf(i_0_6804, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Complete__Lattice_OInf__class_OInf(X1,X2)),X3))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_member(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3)))). 3.26/3.46 cnf(i_0_5313, 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)))). 3.26/3.46 cnf(i_0_1219, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk93_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)))). 3.26/3.46 cnf(i_0_5631, plain, (hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),X3))|hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_7076, plain, (hBOOL(hAPP(X1,esk502_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)))). 3.26/3.46 cnf(i_0_3906, 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,esk280_4(X1,X5,X4,X3)))|~hBOOL(hAPP(X1,esk281_4(X1,X5,X4,X3))))). 3.26/3.46 cnf(i_0_6323, plain, (hAPP(X1,X2)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X3,X4,X5),X6),X7),X2)|~c_Finite__Set_Ofolding__image__simple(X3,X4,X5,X7,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X2)))). 3.26/3.46 cnf(i_0_5679, 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,esk412_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)))). 3.26/3.46 cnf(i_0_4661, 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))). 3.26/3.46 cnf(i_0_33, 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))))). 3.26/3.46 cnf(i_0_4094, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk300_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)))). 3.26/3.46 cnf(i_0_2958, 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))))). 3.26/3.46 cnf(i_0_3718, 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))). 3.26/3.46 cnf(i_0_3126, 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)))). 3.26/3.46 cnf(i_0_7507, 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)))). 3.26/3.46 cnf(i_0_210, 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)))). 3.26/3.46 cnf(i_0_1773, 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)))). 3.26/3.46 cnf(i_0_2343, 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)))). 3.26/3.46 cnf(i_0_7291, 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)))). 3.26/3.46 cnf(i_0_6954, 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)))). 3.26/3.46 cnf(i_0_1171, 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),esk88_4(X4,X3,X1,X2)),X3)))). 3.26/3.46 cnf(i_0_43, 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)))). 3.26/3.46 cnf(i_0_5901, 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)))). 3.26/3.46 cnf(i_0_2942, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk218_5(X3,X4,X5,X2,X1))=X4|X4=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Olist_OCons(X1),X2),X5)!=hAPP(hAPP(c_List_Oappend(X1),X4),X3))). 3.26/3.46 cnf(i_0_4015, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk296_5(X3,X2,X4,X5,X1))=X5|X5=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 3.26/3.46 cnf(i_0_3566, 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),esk257_4(X4,X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_6333, 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))))). 3.26/3.46 cnf(i_0_3386, 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))). 3.26/3.46 cnf(i_0_7067, 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))). 3.26/3.46 cnf(i_0_7036, 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))). 3.26/3.46 cnf(i_0_3004, 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),esk225_4(X4,X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_4013, plain, (hAPP(hAPP(c_List_Oappend(X1),esk296_5(X2,X3,X4,X5,X1)),X4)=X2|X5=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 3.26/3.46 cnf(i_0_2940, plain, (hAPP(hAPP(c_List_Oappend(X1),esk218_5(X2,X3,X4,X5,X1)),X2)=X4|X3=c_List_Olist_ONil(X1)|hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)!=hAPP(hAPP(c_List_Oappend(X1),X3),X2))). 3.26/3.46 cnf(i_0_3944, 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(c_Option_Ooption_OSome(X4),X2)!=hAPP(X5,X6))). 3.26/3.46 cnf(i_0_1216, 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))). 3.26/3.46 cnf(i_0_3762, 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),esk271_4(X4,X3,X1,X2)),X3)))). 3.26/3.46 cnf(i_0_5842, 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))). 3.26/3.46 cnf(i_0_5110, 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))). 3.26/3.46 cnf(i_0_7513, 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))). 3.26/3.46 cnf(i_0_5049, 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))). 3.26/3.46 cnf(i_0_6409, 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))))). 3.26/3.46 cnf(i_0_4618, 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,esk335_7(X7,X6,X5,X4,X3,X2,X1)),X6),X7)))). 3.26/3.46 cnf(i_0_2523, 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)))). 3.26/3.46 cnf(i_0_3065, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olistsp(X1,X2)),c_List_Olistsp(X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3)))). 3.26/3.46 cnf(i_0_1966, 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))). 3.26/3.46 cnf(i_0_2769, 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))). 3.26/3.46 cnf(i_0_2732, 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))). 3.26/3.46 cnf(i_0_2429, 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))). 3.26/3.46 cnf(i_0_2774, 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)))))). 3.26/3.46 cnf(i_0_2775, 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)))))). 3.26/3.46 cnf(i_0_3455, 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))). 3.26/3.46 cnf(i_0_4630, 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))). 3.26/3.46 cnf(i_0_2428, 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))). 3.26/3.46 cnf(i_0_133, 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))). 3.26/3.46 cnf(i_0_2964, 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)))). 3.26/3.46 cnf(i_0_4208, 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))))). 3.26/3.46 cnf(i_0_335, 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))). 3.26/3.46 cnf(i_0_6799, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(X1,esk475_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))). 3.26/3.46 cnf(i_0_967, 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)))). 3.26/3.46 cnf(i_0_4533, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)=c_List_Olist_ONil(X1)|~hBOOL(hAPP(X2,esk330_3(X3,X2,X1))))). 3.26/3.46 cnf(i_0_6752, 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,esk471_4(X4,X2,X3,X1))),hAPP(X4,esk471_4(X4,X2,X3,X1)))))). 3.26/3.46 cnf(i_0_6882, 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))))). 3.26/3.46 cnf(i_0_2444, 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)))). 3.26/3.46 cnf(i_0_6577, 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))))). 3.26/3.46 cnf(i_0_1851, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2),X1)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))). 3.26/3.46 cnf(i_0_1423, 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,esk101_6(X6,X5,X4,X3,X2,X1))))). 3.26/3.46 cnf(i_0_2802, plain, (hAPP(hAPP(X1,X2),esk206_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)))). 3.26/3.46 cnf(i_0_6119, 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))))). 3.26/3.46 cnf(i_0_4005, 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))). 3.26/3.46 cnf(i_0_6419, 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))))). 3.26/3.46 cnf(i_0_6574, 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))))). 3.26/3.46 cnf(i_0_6575, 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))))). 3.26/3.46 cnf(i_0_6576, 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))))). 3.26/3.46 cnf(i_0_364, 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))))). 3.26/3.46 cnf(i_0_2879, 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))))). 3.26/3.46 cnf(i_0_4254, 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))). 3.26/3.46 cnf(i_0_4538, plain, (hAPP(X1,X2)=hAPP(X3,X2)|~class_HOL_Oequal(X4)|~class_Enum_Oenum(X5)|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(X5,X4)),X1),X3)))). 3.26/3.46 cnf(i_0_2226, 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))))). 3.26/3.46 cnf(i_0_367, 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))))). 3.26/3.46 cnf(i_0_366, 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))))). 3.26/3.46 cnf(i_0_365, 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))))). 3.26/3.46 cnf(i_0_6831, 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),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_3969, 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)))). 3.26/3.46 cnf(i_0_3048, 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))))). 3.26/3.46 cnf(i_0_7165, 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))))). 3.26/3.46 cnf(i_0_5988, 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))))). 3.26/3.46 cnf(i_0_7454, 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),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_6829, 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))))). 3.26/3.46 cnf(i_0_6832, 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))))). 3.26/3.46 cnf(i_0_7455, 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))))). 3.26/3.46 cnf(i_0_3879, 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)))). 3.26/3.46 cnf(i_0_7005, 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)))). 3.26/3.46 cnf(i_0_3428, 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)))). 3.26/3.46 cnf(i_0_1714, 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)))). 3.26/3.46 cnf(i_0_7456, 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))))). 3.26/3.46 cnf(i_0_6830, 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),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_7457, 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),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_6709, 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)))). 3.26/3.46 cnf(i_0_5759, 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))). 3.26/3.46 cnf(i_0_5052, 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)))). 3.26/3.46 cnf(i_0_7420, 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)))). 3.26/3.46 cnf(i_0_5294, 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)))). 3.26/3.46 cnf(i_0_6357, 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))))). 3.26/3.46 cnf(i_0_437, 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))). 3.26/3.46 cnf(i_0_1524, 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))))). 3.26/3.46 cnf(i_0_3400, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),esk245_5(X4,X3,X2,X5,X1)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(X1,X5)),X2),X3),X4)))). 3.26/3.46 cnf(i_0_3399, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),esk245_5(X2,X3,X4,X1,X5)),X3),X2))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(X5,X1)),X4),X3),X2)))). 3.26/3.46 cnf(i_0_1609, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),esk114_4(X3,X2,X1,X4)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X4,X1)),X2),X3),X2))|~hBOOL(hAPP(X4,X2)))). 3.26/3.46 cnf(i_0_6232, 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))). 3.26/3.46 cnf(i_0_4814, plain, (c_List_Oremdups(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Oremdups(X1,X3))|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_994, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk76_3(X2,X3,X1)),esk77_3(X2,X3,X1))=X3|c_List_Olist_ONil(X1)=X3|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2))))). 3.26/3.46 cnf(i_0_4058, 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)))). 3.26/3.46 cnf(i_0_5334, 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))))). 3.26/3.46 cnf(i_0_5199, 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))))). 3.26/3.46 cnf(i_0_3230, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk233_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))))). 3.26/3.46 cnf(i_0_151, 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)))). 3.26/3.46 cnf(i_0_6401, 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)))). 3.26/3.46 cnf(i_0_7496, 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)))). 3.26/3.46 cnf(i_0_712, 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))). 3.26/3.46 cnf(i_0_2409, 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))). 3.26/3.46 cnf(i_0_2385, 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))). 3.26/3.46 cnf(i_0_5555, 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))))). 3.26/3.46 cnf(i_0_7075, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X3),esk501_4(X1,X4,X2,X3)),esk502_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)))). 3.26/3.46 cnf(i_0_395, 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))). 3.26/3.46 cnf(i_0_2230, 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))). 3.26/3.46 cnf(i_0_6346, 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))))). 3.26/3.46 cnf(i_0_2857, 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))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_2698, 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)))). 3.26/3.46 cnf(i_0_3579, 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)))). 3.26/3.46 cnf(i_0_6698, 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)))). 3.26/3.46 cnf(i_0_589, 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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X3),X1)))|~hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_2537, 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_Groups_Omonoid__mult(X1))). 3.26/3.46 cnf(i_0_4757, 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)))). 3.26/3.46 cnf(i_0_5016, 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)))). 3.26/3.46 cnf(i_0_1669, 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))). 3.26/3.46 cnf(i_0_4520, 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)))). 3.26/3.46 cnf(i_0_6204, 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)))). 3.26/3.46 cnf(i_0_3863, 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)))). 3.26/3.46 cnf(i_0_3201, 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))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_2631, 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)))). 3.26/3.46 cnf(i_0_774, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Omap(X4,X1),X5),X6),X7)|~c_List_Olist__all2(X4,X2,hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_HOL_Obool),X4),X3),X5),X6,X7))). 3.26/3.46 cnf(i_0_3874, 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))))))))). 3.26/3.46 cnf(i_0_4363, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk316_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))))). 3.26/3.46 cnf(i_0_5388, 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)))). 3.26/3.46 cnf(i_0_6637, 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)))). 3.26/3.46 cnf(i_0_5130, 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)))). 3.26/3.46 cnf(i_0_596, 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)))). 3.26/3.46 cnf(i_0_3298, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_1466, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk103_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)))))). 3.26/3.46 cnf(i_0_1195, 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))))). 3.26/3.46 cnf(i_0_3870, 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))). 3.26/3.46 cnf(i_0_3600, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk261_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)))). 3.26/3.46 cnf(i_0_7389, 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)))). 3.26/3.46 cnf(i_0_7363, 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),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|~hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 3.26/3.46 cnf(i_0_4631, 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)))). 3.26/3.46 cnf(i_0_1538, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),esk108_5(X2,X3,X1,X4,X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X4),hAPP(c_Set_Oimage(X1,X5,X3),X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 3.26/3.46 cnf(i_0_2439, 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)))). 3.26/3.46 cnf(i_0_4807, 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)))). 3.26/3.46 cnf(i_0_5108, 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))). 3.26/3.46 cnf(i_0_5821, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk424_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)))). 3.26/3.46 cnf(i_0_3291, 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))))). 3.26/3.46 cnf(i_0_2031, 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),X2)!=hAPP(c_Int_Onumber__class_Onumber__of(X1),X3)|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_3589, 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,esk260_3(X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_4307, 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,esk312_3(X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_2401, 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)))). 3.26/3.46 cnf(i_0_2997, 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)))). 3.26/3.46 cnf(i_0_236, 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))). 3.26/3.46 cnf(i_0_3378, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(X3)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X3),X1),X5)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Oordered__ab__group__add(X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X3),c_Groups_Ozero__class_Ozero(X3)),hAPP(X1,esk244_5(X2,X1,X5,X4,X3))))|~hBOOL(hAPP(hAPP(c_member(X4),X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 3.26/3.46 cnf(i_0_2615, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk184_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))))). 3.26/3.46 cnf(i_0_3325, 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))))). 3.26/3.46 cnf(i_0_3326, 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))))). 3.26/3.46 cnf(i_0_6131, 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))|c_Groups_Ozero__class_Ozero(X1)=X3|~class_Fields_Olinordered__field(X1))). 3.26/3.46 cnf(i_0_724, 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|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.46 cnf(i_0_73, 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))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.46 cnf(i_0_4879, 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))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~class_Groups_Olinordered__ab__group__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.46 cnf(i_0_1141, 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))). 3.26/3.46 cnf(i_0_7540, 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))). 3.26/3.46 cnf(i_0_1386, 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)). 3.26/3.46 cnf(i_0_3327, 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))))). 3.26/3.46 cnf(i_0_3324, 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))))). 3.26/3.46 cnf(i_0_5300, 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),X2),X3)),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_5299, 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))))). 3.26/3.46 cnf(i_0_280, 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))). 3.26/3.46 cnf(i_0_1045, 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)))))). 3.26/3.46 cnf(i_0_3149, 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)))))). 3.26/3.46 cnf(i_0_6114, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk441_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)))). 3.26/3.46 cnf(i_0_4263, 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)))). 3.26/3.46 cnf(i_0_1797, 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))). 3.26/3.46 cnf(i_0_5302, 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))))). 3.26/3.46 cnf(i_0_5301, 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),X3),X2)),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_6579, 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),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_368, 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))))). 3.26/3.46 cnf(i_0_2644, 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))). 3.26/3.46 cnf(i_0_3983, 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)))). 3.26/3.46 cnf(i_0_1366, 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)))). 3.26/3.46 cnf(i_0_1843, 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))))). 3.26/3.46 cnf(i_0_7196, 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)))). 3.26/3.46 cnf(i_0_5157, 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,esk371_3(X2,X1,X3)),esk372_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.46 cnf(i_0_2754, 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,esk201_3(X2,X1,X3)),esk202_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 3.26/3.46 cnf(i_0_1957, 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)))))). 3.26/3.46 cnf(i_0_1186, 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)|c_Option_Ooption_ONone(X1)!=hAPP(X3,X6))). 3.26/3.46 cnf(i_0_4052, plain, (hAPP(c_Map_Omap__upds(X1,X2,X3,X4,X5),X6)=hAPP(X3,X6)|hBOOL(hAPP(hAPP(c_member(X1),X6),hAPP(c_List_Oset(X1),X4))))). 3.26/3.46 cnf(i_0_1842, 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)))). 3.26/3.46 cnf(i_0_2194, 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))))). 3.26/3.46 cnf(i_0_6578, 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)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 3.26/3.46 cnf(i_0_369, 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)))). 3.26/3.46 cnf(i_0_7195, 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)))). 3.26/3.46 cnf(i_0_6159, plain, (hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2))),X3)=c_List_Oremove1(X1,X2,X3)|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.46 cnf(i_0_6098, 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)))). 3.26/3.46 cnf(i_0_2690, 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)))). 3.26/3.46 cnf(i_0_6338, 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)))). 3.26/3.46 cnf(i_0_6939, 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))))). 3.26/3.46 cnf(i_0_2903, 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))))). 3.26/3.46 cnf(i_0_300, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Rings_Osemiring__1(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))))). 3.26/3.46 cnf(i_0_6759, 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))))). 3.26/3.46 cnf(i_0_6042, 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)). 3.26/3.46 cnf(i_0_1599, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,esk113_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))))). 3.26/3.46 cnf(i_0_2535, 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))))). 3.26/3.46 cnf(i_0_2189, plain, (hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Nat_Osemiring__1__class_ONats(X1)))|~class_Rings_Osemiring__1(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))))). 3.26/3.46 cnf(i_0_6833, 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)))). 3.26/3.46 cnf(i_0_6834, 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)))). 3.26/3.46 cnf(i_0_2584, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(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))))). 3.26/3.46 cnf(i_0_6152, 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))))). 3.26/3.46 cnf(i_0_66, 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))))). 3.26/3.46 cnf(i_0_3251, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Oone__class_Oone(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))))|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_7452, 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)))). 3.26/3.46 cnf(i_0_7453, 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)))). 3.26/3.46 cnf(i_0_239, 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)))). 3.26/3.46 cnf(i_0_6786, 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)))). 3.26/3.46 cnf(i_0_3395, 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)))). 3.26/3.46 cnf(i_0_2117, plain, (hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)=c_Groups_Oone__class_Oone(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)))|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_1011, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X3),X4))|~class_Orderings_Oorder(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),hAPP(hAPP(c_COMBS(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),c_Orderings_Oord__class_Oless__eq(X2)),X3)),X4))))). 3.26/3.46 cnf(i_0_4909, 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)))). 3.26/3.46 cnf(i_0_1383, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk97_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))))). 3.26/3.46 cnf(i_0_28, 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))). 3.26/3.46 cnf(i_0_6513, 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)))). 3.26/3.46 cnf(i_0_6461, 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)))). 3.26/3.46 cnf(i_0_5078, 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)))). 3.26/3.46 cnf(i_0_1976, 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))). 3.26/3.46 cnf(i_0_3244, 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)))). 3.26/3.46 cnf(i_0_3602, 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))). 3.26/3.46 cnf(i_0_696, 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)))). 3.26/3.46 cnf(i_0_4643, 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)))). 3.26/3.46 cnf(i_0_3648, 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))))). 3.26/3.46 cnf(i_0_6078, 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),esk439_5(X5,X4,X3,X2,X1)),X3)))). 3.26/3.46 cnf(i_0_6695, 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)|~c_Fun_Oinj__on(X2,X1,X3,X4)|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.46 cnf(i_0_992, plain, (c_List_Olist_ONil(X1)=X2|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk77_3(X3,X2,X1)),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))))). 3.26/3.46 cnf(i_0_7079, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),esk502_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)))). 3.26/3.46 cnf(i_0_320, 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))). 3.26/3.46 cnf(i_0_527, 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)))). 3.26/3.46 cnf(i_0_4450, 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))))). 3.26/3.46 cnf(i_0_2005, 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)))). 3.26/3.46 cnf(i_0_7207, 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)))). 3.26/3.46 cnf(i_0_4467, 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))). 3.26/3.46 cnf(i_0_9, 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)))). 3.26/3.46 cnf(i_0_6622, plain, (X1=c_Big__Operators_Olinorder__class_OMax(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)))). 3.26/3.46 cnf(i_0_2102, 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)))). 3.26/3.46 cnf(i_0_4242, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_1348, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_4626, plain, (X1=c_Big__Operators_Olattice__class_OInf__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)))). 3.26/3.46 cnf(i_0_3711, 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)))). 3.26/3.46 cnf(i_0_4219, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),esk306_3(X2,X4,X1)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4)))). 3.26/3.46 cnf(i_0_4258, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))))). 3.26/3.46 cnf(i_0_7370, 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)))). 3.26/3.46 cnf(i_0_1909, 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),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))))). 3.26/3.46 cnf(i_0_6366, 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),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))))). 3.26/3.46 cnf(i_0_6822, 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)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=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))))). 3.26/3.46 cnf(i_0_937, 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))). 3.26/3.46 cnf(i_0_657, 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))). 3.26/3.46 cnf(i_0_1345, 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))))). 3.26/3.46 cnf(i_0_6342, 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))))). 3.26/3.46 cnf(i_0_4199, 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)))))). 3.26/3.46 cnf(i_0_1097, 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))))). 3.26/3.46 cnf(i_0_4375, 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)))). 3.26/3.46 cnf(i_0_2596, 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))). 3.26/3.46 cnf(i_0_6300, 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))))). 3.26/3.46 cnf(i_0_6299, 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))))). 3.26/3.46 cnf(i_0_1431, 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))). 3.26/3.46 cnf(i_0_7562, 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)))). 3.26/3.46 cnf(i_0_7371, 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)))). 3.26/3.46 cnf(i_0_864, 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)))). 3.26/3.46 cnf(i_0_4029, 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))). 3.26/3.46 cnf(i_0_7332, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Oappend(X1),X4),X5),hAPP(hAPP(c_List_Oappend(X2),X6),X7))|~c_List_Olist__all2(X1,X2,X3,X5,X7)|~c_List_Olist__all2(X1,X2,X3,X4,X6))). 3.26/3.46 cnf(i_0_1001, 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))). 3.26/3.46 cnf(i_0_2134, 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))))). 3.26/3.46 cnf(i_0_3679, 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)))). 3.26/3.46 cnf(i_0_3635, 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)))). 3.26/3.46 cnf(i_0_4374, 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))). 3.26/3.46 cnf(i_0_5497, plain, (hAPP(X1,esk399_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)))). 3.26/3.46 cnf(i_0_6553, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|esk464_3(X1,X3,X4)=X2|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)))). 3.26/3.46 cnf(i_0_2139, 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),X1),X3)),hAPP(hAPP(c_List_Olist_OCons(X5),X2),X4))),c_List_Olistrel1(X5,X6))))). 3.26/3.46 cnf(i_0_6446, 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))))). 3.26/3.46 cnf(i_0_2892, 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)))). 3.26/3.46 cnf(i_0_3572, 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)))). 3.26/3.46 cnf(i_0_2586, 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)))). 3.26/3.46 cnf(i_0_7355, 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))). 3.26/3.46 cnf(i_0_2937, 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)))). 3.26/3.46 cnf(i_0_237, 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)))). 3.26/3.46 cnf(i_0_3481, 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)))). 3.26/3.46 cnf(i_0_5071, 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)))). 3.26/3.46 cnf(i_0_5382, 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)))). 3.26/3.46 cnf(i_0_7213, 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)))). 3.26/3.46 cnf(i_0_3047, 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))))). 3.26/3.46 cnf(i_0_6212, 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)))). 3.26/3.46 cnf(i_0_4739, 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)))). 3.26/3.46 cnf(i_0_2926, 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))). 3.26/3.46 cnf(i_0_4711, 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))))))). 3.26/3.46 cnf(i_0_7164, 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))))). 3.26/3.46 cnf(i_0_333, 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)))). 3.26/3.46 cnf(i_0_6707, 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)))). 3.26/3.46 cnf(i_0_6482, 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))). 3.26/3.46 cnf(i_0_4380, 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)))). 3.26/3.46 cnf(i_0_6901, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk488_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))))). 3.26/3.46 cnf(i_0_5390, 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))). 3.26/3.46 cnf(i_0_7412, 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)))). 3.26/3.46 cnf(i_0_2337, 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)))). 3.26/3.46 cnf(i_0_3927, 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)))). 3.26/3.46 cnf(i_0_5037, 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))). 3.26/3.46 cnf(i_0_7099, 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))))). 3.26/3.46 cnf(i_0_5031, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk364_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))))). 3.26/3.46 cnf(i_0_4527, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|hAPP(c_Option_Ooption_OSome(X4),X5)!=hAPP(hAPP(c_Map_Omap__of(X1,X4),hAPP(hAPP(c_List_Ozip(X1,X4),X3),X6)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X6)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))). 3.26/3.46 cnf(i_0_3890, 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)))). 3.26/3.46 cnf(i_0_3420, 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)))). 3.26/3.46 cnf(i_0_2496, 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)))). 3.26/3.46 cnf(i_0_2840, 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))). 3.26/3.46 cnf(i_0_2601, 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)))). 3.26/3.46 cnf(i_0_329, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X4,X5,X6),X2),X7),X3)|~c_Finite__Set_Ofolding__image(X4,X5,X6,X7,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 3.26/3.46 cnf(i_0_4635, 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)))). 3.26/3.46 cnf(i_0_7181, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5),hAPP(hAPP(c_List_Olist_OCons(X2),X6),X7))|~c_List_Olist__all2(X1,X2,X3,X5,X7)|~hBOOL(hAPP(hAPP(X3,X4),X6)))). 3.26/3.46 cnf(i_0_4426, 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))). 3.26/3.46 cnf(i_0_6356, 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))))). 3.26/3.46 cnf(i_0_1525, 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))))). 3.26/3.46 cnf(i_0_39, 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)))). 3.26/3.46 cnf(i_0_4809, 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))). 3.26/3.46 cnf(i_0_7314, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=c_List_OtakeWhile(X1,X4,X3)|hBOOL(hAPP(X4,hAPP(hAPP(c_List_Onth(X1),X3),X2)))|~hBOOL(hAPP(X4,hAPP(hAPP(c_List_Onth(X1),X3),esk515_4(X4,X3,X1,X2)))))). 3.26/3.46 cnf(i_0_3104, 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)))). 3.26/3.46 cnf(i_0_4895, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(X3,esk354_5(X3,X4,X5,X2,X1))))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1),X4),X3))))). 3.26/3.46 cnf(i_0_4447, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X2,esk321_5(X3,X2,X4,X5,X1))),X3))|~class_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X1),X4),X2)),X3)))). 3.26/3.46 cnf(i_0_5953, 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),esk433_2(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_List_Oset(tc_Nat_Onat),X1))))). 3.26/3.46 cnf(i_0_4090, 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))))). 3.26/3.46 cnf(i_0_2282, 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))). 3.26/3.46 cnf(i_0_3508, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|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)))). 3.26/3.46 cnf(i_0_3375, 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)))). 3.26/3.46 cnf(i_0_2331, 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))). 3.26/3.46 cnf(i_0_7029, 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))))). 3.26/3.46 cnf(i_0_3329, 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),X2),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_5579, 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),X3),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.46 cnf(i_0_5872, 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))). 3.26/3.46 cnf(i_0_1770, 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))). 3.26/3.46 cnf(i_0_6779, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk474_4(X3,X4,X2,X1)),esk473_4(X3,X4,X2,X1))=X4|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),X4),hAPP(c_Relation_Oconverse(X2,X1),X3))))). 3.26/3.46 cnf(i_0_5933, 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))))). 3.26/3.46 cnf(i_0_1598, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk113_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))))). 3.26/3.46 cnf(i_0_1184, plain, (hAPP(X1,esk89_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))). 3.26/3.46 cnf(i_0_6025, 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))))). 3.26/3.46 cnf(i_0_4546, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_1338, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_2159, 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)))). 3.26/3.46 cnf(i_0_222, 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))). 3.26/3.46 cnf(i_0_1678, plain, (hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2))),X3)=X3|hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3))))). 3.26/3.46 cnf(i_0_2305, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X2),X3))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_5715, 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)))). 3.26/3.46 cnf(i_0_2042, 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))). 3.26/3.46 cnf(i_0_6052, 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)))). 3.26/3.46 cnf(i_0_3813, 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)))). 3.26/3.46 cnf(i_0_3302, 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))). 3.26/3.46 cnf(i_0_942, 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))). 3.26/3.46 cnf(i_0_29, 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,esk4_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)))). 3.26/3.46 cnf(i_0_6773, 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,esk472_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)))). 3.26/3.46 cnf(i_0_1506, 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,esk107_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)))). 3.26/3.46 cnf(i_0_6473, 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,esk456_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)))). 3.26/3.46 cnf(i_0_6427, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),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))),X2)|~class_Rings_Ocomm__semiring__1(X1))). 3.26/3.46 cnf(i_0_3328, 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)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))). 3.26/3.46 cnf(i_0_6133, 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)))). 3.26/3.46 cnf(i_0_5580, 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)))). 3.26/3.46 cnf(i_0_6113, plain, (hBOOL(hAPP(hAPP(hAPP(X1,esk441_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)))). 3.26/3.46 cnf(i_0_5676, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|esk413_3(X1,X3,X4)=X2|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)))). 3.26/3.46 cnf(i_0_4894, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk354_5(X2,X3,X1,X4,X5)),X3))|~class_Orderings_Olinorder(X5)|~class_Complete__Lattice_Ocomplete__lattice(X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X5),X3),X2))))). 3.26/3.46 cnf(i_0_4448, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk321_5(X2,X3,X4,X1,X5)),X4))|~class_Orderings_Olinorder(X5)|~class_Complete__Lattice_Ocomplete__lattice(X5)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X5),X4),X3)),X2)))). 3.26/3.46 cnf(i_0_4337, 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)))). 3.26/3.46 cnf(i_0_2574, 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))))). 3.26/3.46 cnf(i_0_1079, 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))))). 3.26/3.46 cnf(i_0_707, 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))))). 3.26/3.46 cnf(i_0_1731, 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))|~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))|~class_Rings_Olinordered__semidom(X3))). 3.26/3.46 cnf(i_0_1403, 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))))). 3.26/3.46 cnf(i_0_4119, 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))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X7),X8),X5),X3))|~hBOOL(hAPP(hAPP(X6,X2),X8)))). 3.26/3.46 cnf(i_0_4607, 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)))). 3.26/3.46 cnf(i_0_1402, 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))))). 3.26/3.46 cnf(i_0_2518, 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)))). 3.26/3.46 cnf(i_0_1882, 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)))). 3.26/3.46 cnf(i_0_5340, 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)))). 3.26/3.46 cnf(i_0_946, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)=c_List_Olist_ONil(X1)|~hBOOL(hAPP(X2,hAPP(c_List_Ohd(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)))))). 3.26/3.46 cnf(i_0_5496, plain, (hAPP(c_Option_Ooption_OSome(X1),esk399_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)))). 3.26/3.46 cnf(i_0_7064, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(X2,X2,X5),X3),X4)|~c_Finite__Set_Ofolding__one__idem(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.46 cnf(i_0_4710, 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))))). 3.26/3.46 cnf(i_0_3208, 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)))). 3.26/3.46 cnf(i_0_4138, 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)))). 3.26/3.46 cnf(i_0_6801, 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)))). 3.26/3.46 cnf(i_0_6540, 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))). 3.26/3.46 cnf(i_0_4766, 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))))). 3.26/3.46 cnf(i_0_5304, 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)))). 3.26/3.46 cnf(i_0_5303, 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)))). 3.26/3.46 cnf(i_0_1158, 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)))). 3.26/3.46 cnf(i_0_714, 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))))). 3.26/3.46 cnf(i_0_2970, 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)|c_List_Olist_ONil(X1)=X2)). 3.26/3.46 cnf(i_0_984, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)|~hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_List_Onth(X1),X4),esk75_5(X5,X4,X3,X2,X1))),hAPP(hAPP(c_List_Onth(X2),X5),esk75_5(X5,X4,X3,X2,X1)))))). 3.26/3.46 cnf(i_0_6214, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)|~hBOOL(hAPP(hAPP(X3,hAPP(hAPP(c_List_Onth(X1),X4),esk445_5(X3,X5,X2,X4,X1))),hAPP(hAPP(c_List_Onth(X2),X5),esk445_5(X3,X5,X2,X4,X1)))))). 3.26/3.46 cnf(i_0_4982, 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)))). 3.26/3.46 cnf(i_0_4146, 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)))). 3.26/3.46 cnf(i_0_2506, 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)))). 3.26/3.46 cnf(i_0_1658, 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)))). 3.26/3.46 cnf(i_0_1798, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X1,c_Lattices_Osemilattice__inf__class_Oinf(X1)),X2),X3)=c_Big__Operators_Olattice__class_OInf__fin(X1,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_4657, 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)))). 3.26/3.46 cnf(i_0_2296, 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)))). 3.26/3.46 cnf(i_0_4432, 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)))). 3.26/3.46 cnf(i_0_1221, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk92_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)))). 3.26/3.46 cnf(i_0_4205, 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))))). 3.26/3.46 cnf(i_0_50, 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))))). 3.26/3.46 cnf(i_0_1741, 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))). 3.26/3.46 cnf(i_0_3188, 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)))). 3.26/3.46 cnf(i_0_1748, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk126_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))). 3.26/3.46 cnf(i_0_1550, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk112_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.46 cnf(i_0_4083, plain, (hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(X1)),c_Option_Ooption_ONone(X1)),hAPP(hAPP(c_List_Omap(X1,tc_Option_Ooption(X1)),c_Option_Ooption_OSome(X1)),c_Enum_Oenum__class_Oenum(X1)))=c_Enum_Oenum__class_Oenum(tc_Option_Ooption(X1))|~class_Enum_Oenum(X1))). 3.26/3.46 cnf(i_0_4097, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk299_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)))). 3.26/3.46 cnf(i_0_7516, 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)))). 3.26/3.46 cnf(i_0_2995, plain, (hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))=X4|hAPP(c_List_Orev(X1),X4)!=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))). 3.26/3.46 cnf(i_0_3842, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),esk279_2(X2,X1)),hAPP(c_Relation_OImage(X1,X1,X2),esk279_2(X2,X1)))))). 3.26/3.46 cnf(i_0_1547, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk110_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.46 cnf(i_0_1872, 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)))))). 3.26/3.46 cnf(i_0_4587, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X2),X3),esk334_5(X4,X3,X2,X1,X5)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X5,X1)),X2),X3),X4))|~hBOOL(hAPP(X5,X2)))). 3.26/3.46 cnf(i_0_4201, 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)))). 3.26/3.46 cnf(i_0_3398, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(X1,X2)),X3),X4),X5))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X2),X6),X4),X5))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X1),X3),X4),X6)))). 3.26/3.46 cnf(i_0_2180, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk160_4(hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),X1,X3,X2)),hAPP(c_List_Oset(X1),X3)))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 3.26/3.46 cnf(i_0_4373, 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))). 3.26/3.46 cnf(i_0_1075, 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))). 3.26/3.46 cnf(i_0_3675, 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)))). 3.26/3.46 cnf(i_0_7471, plain, (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,X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)))). 3.26/3.46 cnf(i_0_1207, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk91_3(X1,X2,X3))),X2))|~hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 3.26/3.46 cnf(i_0_1911, 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))))). 3.26/3.46 cnf(i_0_6364, 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))))). 3.26/3.46 cnf(i_0_2464, 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))). 3.26/3.46 cnf(i_0_1532, 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)))). 3.26/3.46 cnf(i_0_3623, 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,esk262_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)))). 3.26/3.46 cnf(i_0_5262, 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))))). 3.26/3.46 cnf(i_0_3987, 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))))). 3.26/3.46 cnf(i_0_773, plain, (c_List_Olist__all2(X1,X2,hAPP(hAPP(c_COMBB(X3,tc_fun(X2,tc_HOL_Obool),X1),X4),X5),X6,X7)|~c_List_Olist__all2(X3,X2,X4,hAPP(hAPP(c_List_Omap(X1,X3),X5),X6),X7))). 3.26/3.46 cnf(i_0_4170, 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))). 3.26/3.46 cnf(i_0_6367, 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))))). 3.26/3.46 cnf(i_0_1910, 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))))). 3.26/3.46 cnf(i_0_7057, 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)))). 3.26/3.46 cnf(i_0_539, 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))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.46 cnf(i_0_2463, 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))). 3.26/3.46 cnf(i_0_3209, 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))). 3.26/3.46 cnf(i_0_3500, 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)))). 3.26/3.46 cnf(i_0_4577, 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,esk333_5(X5,X4,X3,X2,X1)))))). 3.26/3.46 cnf(i_0_475, 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,esk31_5(X5,X4,X3,X2,X1))),X5)))). 3.26/3.46 cnf(i_0_2000, plain, (hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5))|~class_Lattices_Olattice(X2))). 3.26/3.46 cnf(i_0_1607, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),X3),X4),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),X5),X4),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X2),X3),X4),X5)))). 3.26/3.46 cnf(i_0_6546, 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))). 3.26/3.46 cnf(i_0_7215, 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))). 3.26/3.46 cnf(i_0_5757, 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))). 3.26/3.46 cnf(i_0_6580, 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))). 3.26/3.46 cnf(i_0_6094, 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)))). 3.26/3.46 cnf(i_0_2875, 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)))). 3.26/3.46 cnf(i_0_1021, 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)))). 3.26/3.46 cnf(i_0_2719, 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))|~c_Finite__Set_Ofolding__one__idem(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.46 cnf(i_0_4552, 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)))). 3.26/3.46 cnf(i_0_3504, 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)))). 3.26/3.46 cnf(i_0_1255, 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)))). 3.26/3.46 cnf(i_0_4851, 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))). 3.26/3.46 cnf(i_0_1320, 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)))). 3.26/3.46 cnf(i_0_2585, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1))). 3.26/3.46 cnf(i_0_6836, 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))). 3.26/3.46 cnf(i_0_2946, 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)))). 3.26/3.46 cnf(i_0_3194, 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)))). 3.26/3.46 cnf(i_0_3221, 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)))). 3.26/3.46 cnf(i_0_3363, 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)))). 3.26/3.46 cnf(i_0_7245, 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)))). 3.26/3.46 cnf(i_0_4229, 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)))). 3.26/3.46 cnf(i_0_6524, 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))))). 3.26/3.46 cnf(i_0_452, 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))). 3.26/3.46 cnf(i_0_6911, 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)))). 3.26/3.46 cnf(i_0_3706, 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)))). 3.26/3.46 cnf(i_0_1040, 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)))). 3.26/3.46 cnf(i_0_3834, 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)))). 3.26/3.46 cnf(i_0_1877, 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))))). 3.26/3.46 cnf(i_0_1206, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk91_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))))). 3.26/3.46 cnf(i_0_3590, 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),esk260_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_4308, 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),esk312_3(X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.46 cnf(i_0_1010, 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))). 3.26/3.46 cnf(i_0_3693, 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)))). 3.26/3.46 cnf(i_0_3698, 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))). 3.26/3.46 cnf(i_0_4627, 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))). 3.26/3.46 cnf(i_0_3982, 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))). 3.26/3.46 cnf(i_0_5218, 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))))). 3.26/3.46 cnf(i_0_1892, 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))). 3.26/3.47 cnf(i_0_7534, 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))). 3.26/3.47 cnf(i_0_3979, 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))))). 3.26/3.47 cnf(i_0_4590, plain, (X1=X2|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X3),X1),X4),esk334_5(X2,X4,X1,X3,X5)))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X5,X3)),X1),X4),X2)))). 3.26/3.47 cnf(i_0_1867, plain, (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_Olast(X1,hAPP(hAPP(c_List_Olist__update(X1,X2),X3),X4))=c_List_Olast(X1,X2)|X2=c_List_Olist_ONil(X1))). 3.26/3.47 cnf(i_0_3646, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk264_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3)))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 3.26/3.47 cnf(i_0_7041, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk497_3(X2,X3,X1)),hAPP(c_List_Oset(X1),X3)))|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X1))). 3.26/3.47 cnf(i_0_5060, plain, (hAPP(X1,X2)=X3|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X4,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X4),X3),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,X1)|~hBOOL(hAPP(hAPP(c_member(X4),X3),X2))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X2)))). 3.26/3.47 cnf(i_0_7292, 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))))). 3.26/3.47 cnf(i_0_6719, 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)))). 3.26/3.47 cnf(i_0_5154, 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))))). 3.26/3.47 cnf(i_0_5785, 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)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2)). 3.26/3.47 cnf(i_0_6112, 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)))))). 3.26/3.47 cnf(i_0_4354, 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)))))). 3.26/3.47 cnf(i_0_4886, 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))))). 3.26/3.47 cnf(i_0_5966, 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))))). 3.26/3.47 cnf(i_0_1016, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_4276, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk308_2(X2,X1)),esk308_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))))))). 3.26/3.47 cnf(i_0_4978, 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)))). 3.26/3.47 cnf(i_0_6181, 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)))). 3.26/3.47 cnf(i_0_601, plain, (X1=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X4)!=hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X4)|~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))|~class_Rings_Olinordered__semidom(X3))). 3.26/3.47 cnf(i_0_2494, 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,esk175_5(X4,X2,X3,X3,X1))!=hAPP(X4,esk175_5(X4,X2,X3,X3,X1))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.47 cnf(i_0_52, 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)))). 3.26/3.47 cnf(i_0_1903, 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)))). 3.26/3.47 cnf(i_0_1243, 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)))). 3.26/3.47 cnf(i_0_866, 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)))). 3.26/3.47 cnf(i_0_2387, 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,esk168_5(X2,X4,X3,X3,X1))!=hAPP(X4,esk168_5(X2,X4,X3,X3,X1))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.47 cnf(i_0_5866, 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,X3,X4)),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),X4)))). 3.26/3.47 cnf(i_0_1417, 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))))). 3.26/3.47 cnf(i_0_7487, 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)))))). 3.26/3.47 cnf(i_0_7486, 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)))))). 3.26/3.47 cnf(i_0_2047, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2))))). 3.26/3.47 cnf(i_0_507, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),c_List_OtakeWhile(X2,X3,X4))))|~hBOOL(hAPP(X3,hAPP(hAPP(c_List_Onth(X2),X4),esk32_4(X4,X2,X3,X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))))). 3.26/3.47 cnf(i_0_1985, 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))))). 3.26/3.47 cnf(i_0_3805, 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)))). 3.26/3.47 cnf(i_0_706, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X1),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_HOL_Obool,X1),X2),c_Option_Ooption_OSome(X1))))|hBOOL(hAPP(X2,c_Option_Ooption_ONone(X1)))|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(X1)),X2)))). 3.26/3.47 cnf(i_0_4422, 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))). 3.26/3.47 cnf(i_0_4001, 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,esk295_4(X4,X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_2348, 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))))). 3.26/3.47 cnf(i_0_7249, 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))). 3.26/3.47 cnf(i_0_4111, 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)))). 3.26/3.47 cnf(i_0_1554, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_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)))). 3.26/3.47 cnf(i_0_1567, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_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)))). 3.26/3.47 cnf(i_0_5604, 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)))). 3.26/3.47 cnf(i_0_13, 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)))). 3.26/3.47 cnf(i_0_4379, 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))))))). 3.26/3.47 cnf(i_0_757, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),X3),X4),c_List_Oremdups(X2,X5))=hAPP(hAPP(c_Finite__Set_Ofold(X2,X1,X3),X4),hAPP(c_List_Oset(X2),X5))|~c_Finite__Set_Ofun__left__comm(X2,X1,X3))). 3.26/3.47 cnf(i_0_27, 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)))). 3.26/3.47 cnf(i_0_1310, 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)))). 3.26/3.47 cnf(i_0_6250, 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)))). 3.26/3.47 cnf(i_0_4697, plain, (c_Wellfounded_Oacyclic(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),c_Predicate_Oconversep(X1,X1,X2)))|~c_Wellfounded_Oacyclic(X1,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),X2)))). 3.26/3.47 cnf(i_0_2339, 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))))). 3.26/3.47 cnf(i_0_2923, 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))))). 3.26/3.47 cnf(i_0_1729, plain, (hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk125_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)))). 3.26/3.47 cnf(i_0_2617, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk183_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)))). 3.26/3.47 cnf(i_0_2365, 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)))). 3.26/3.47 cnf(i_0_1468, 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)))). 3.26/3.47 cnf(i_0_4394, 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)))). 3.26/3.47 cnf(i_0_1161, 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))). 3.26/3.47 cnf(i_0_401, plain, (c_Relation_Oirrefl(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk27_2(X2,X1)),esk27_2(X2,X1))),X2)))). 3.26/3.47 cnf(i_0_2943, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk218_5(X3,X4,X5,X2,X1))=X4|X3=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X5)|hAPP(hAPP(c_List_Olist_OCons(X1),X2),X5)!=hAPP(hAPP(c_List_Oappend(X1),X4),X3))). 3.26/3.47 cnf(i_0_4016, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk296_5(X3,X2,X4,X5,X1))=X5|hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)=X4|hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 3.26/3.47 cnf(i_0_2276, 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)))))))). 3.26/3.47 cnf(i_0_2941, plain, (hAPP(hAPP(c_List_Oappend(X1),esk218_5(X2,X3,X4,X5,X1)),X2)=X4|X2=hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)|hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)!=hAPP(hAPP(c_List_Oappend(X1),X3),X2))). 3.26/3.47 cnf(i_0_2936, 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)))). 3.26/3.47 cnf(i_0_5373, 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)))). 3.26/3.47 cnf(i_0_6283, 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)))). 3.26/3.47 cnf(i_0_1381, plain, (hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk98_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)))). 3.26/3.47 cnf(i_0_5385, plain, (hAPP(hAPP(c_List_Odrop(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=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))),X4)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2)). 3.26/3.47 cnf(i_0_4014, plain, (hAPP(hAPP(c_List_Oappend(X1),esk296_5(X2,X3,X4,X5,X1)),X4)=X2|hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2)=X4|hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 3.26/3.47 cnf(i_0_503, 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))). 3.26/3.47 cnf(i_0_3656, 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))|~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))))). 3.26/3.47 cnf(i_0_6365, 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))))). 3.26/3.47 cnf(i_0_1912, 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))))). 3.26/3.47 cnf(i_0_2524, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),esk176_4(X3,X4,X2,X1)),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,X1)),X2),X4),X3)))). 3.26/3.47 cnf(i_0_4561, 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))). 3.26/3.47 cnf(i_0_1334, 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)))). 3.26/3.47 cnf(i_0_2153, 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))). 3.26/3.47 cnf(i_0_456, 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)))). 3.26/3.47 cnf(i_0_5425, 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)))). 3.26/3.47 cnf(i_0_983, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_List_Onth(X2),X3),X4)),hAPP(hAPP(c_List_Onth(X5),X6),X4)))|~c_List_Olist__all2(X2,X5,X1,X3,X6)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3))))). 3.26/3.47 cnf(i_0_5554, 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)). 3.26/3.47 cnf(i_0_6726, 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))). 3.26/3.47 cnf(i_0_6376, 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_OMax(X2,X1)),c_Big__Operators_Olinorder__class_OMax(X2,X3)))|~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)))). 3.26/3.47 cnf(i_0_3219, 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)))). 3.26/3.47 cnf(i_0_4267, 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))). 3.26/3.47 cnf(i_0_5491, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_List_Onth(X2),X3),X4)),hAPP(hAPP(c_List_Onth(X5),X6),X4)))|~c_List_Olist__all2(X2,X5,X1,X3,X6)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X5)),X6))))). 3.26/3.47 cnf(i_0_6372, 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)))). 3.26/3.47 cnf(i_0_5469, 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)). 3.26/3.47 cnf(i_0_2154, 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),X3),X5))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X4),X2)))). 3.26/3.47 cnf(i_0_7310, 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))). 3.26/3.47 cnf(i_0_2828, plain, (hBOOL(hAPP(X1,esk209_2(X1,X2)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk207_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk208_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,esk207_2(X1,X2)))|~hBOOL(hAPP(X1,X3)))). 3.26/3.47 cnf(i_0_5000, 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)))). 3.26/3.47 cnf(i_0_5220, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk377_4(X1,X2,X3,X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),X3)))|hBOOL(hAPP(X2,X1))|~hBOOL(hAPP(hAPP(c_member(X4),X1),hAPP(c_List_Oset(X4),X3))))). 3.26/3.47 cnf(i_0_2885, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 3.26/3.47 cnf(i_0_54, plain, (c_List_Olist_ONil(X1)=X2|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(X1,X2),X3))),hAPP(c_List_Oset(X1),X2))))). 3.26/3.47 cnf(i_0_750, 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))). 3.26/3.47 cnf(i_0_670, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk49_3(X3,X2,X1)),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk50_3(X3,X2,X1)),esk50_3(X3,X2,X1))),X3)))). 3.26/3.47 cnf(i_0_7252, 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),esk514_3(X3,X2,X1)),esk514_3(X3,X2,X1))),X3)))). 3.26/3.47 cnf(i_0_345, 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),esk21_3(X2,X3,X1)),esk21_3(X2,X3,X1))),X3)))). 3.26/3.47 cnf(i_0_939, 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)))))). 3.26/3.47 cnf(i_0_3994, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X2)))). 3.26/3.47 cnf(i_0_1745, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),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)))). 3.26/3.47 cnf(i_0_1104, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),hAPP(c_List_Oset(X1),X4))=hAPP(c_List_Omonoid__add__class_Olistsum(X2),hAPP(hAPP(c_List_Omap(X1,X2),X3),X4))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_List_Odistinct(X1),X4)))). 3.26/3.47 cnf(i_0_4257, plain, (c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),X1),c_Lazy__Sequence_Osmall__lazy_H(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Lazy__Sequence_Osmall__lazy_H(X2,X1)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 3.26/3.47 cnf(i_0_1502, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk105_3(X2,X3,X1)),esk106_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)))). 3.26/3.47 cnf(i_0_7078, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk501_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)))). 3.26/3.47 cnf(i_0_3470, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),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)))). 3.26/3.47 cnf(i_0_4075, 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)))). 3.26/3.47 cnf(i_0_1610, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),esk114_4(X3,X4,X2,X1)),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),X4),X3),X4))|~hBOOL(hAPP(X1,X4)))). 3.26/3.47 cnf(i_0_2649, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk186_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)))). 3.26/3.47 cnf(i_0_2378, plain, (hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),X1),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,X1,X2))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,X1,X2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X1)))). 3.26/3.47 cnf(i_0_1990, 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)))). 3.26/3.47 cnf(i_0_6914, plain, (c_Big__Operators_Olattice_OInf__fin(X1,c_Orderings_Oord__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)))). 3.26/3.47 cnf(i_0_3075, 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)),esk230_3(X3,X2,X1)),X3)))). 3.26/3.47 cnf(i_0_1623, 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)))). 3.26/3.47 cnf(i_0_547, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk40_3(X1,X2,X3)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_551, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk42_3(X1,X2,X3)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_213, 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)))). 3.26/3.47 cnf(i_0_5628, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_5564, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk406_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)))). 3.26/3.47 cnf(i_0_387, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),esk22_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)))). 3.26/3.47 cnf(i_0_1185, plain, (hAPP(c_Option_Ooption_OSome(X1),esk89_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))). 3.26/3.47 cnf(i_0_6539, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk462_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))). 3.26/3.47 cnf(i_0_6847, 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)))). 3.26/3.47 cnf(i_0_7392, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_2950, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_602, 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)))). 3.26/3.47 cnf(i_0_488, plain, (hAPP(hAPP(c_List_Onth(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X2)),X3)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X3)). 3.26/3.47 cnf(i_0_6538, plain, (c_List_Olinorder__class_Osorted(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk463_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))). 3.26/3.47 cnf(i_0_6843, 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))). 3.26/3.47 cnf(i_0_7122, 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)))). 3.26/3.47 cnf(i_0_2417, 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),esk171_4(X2,X4,X3,X1)),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_4305, 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)))). 3.26/3.47 cnf(i_0_1926, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_3474, 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)))). 3.26/3.47 cnf(i_0_2240, 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)))). 3.26/3.47 cnf(i_0_636, 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)))). 3.26/3.47 cnf(i_0_3946, 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)|c_List_Olist_ONil(X1)=X2)). 3.26/3.47 cnf(i_0_1579, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_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))))). 3.26/3.47 cnf(i_0_7253, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk514_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)))))). 3.26/3.47 cnf(i_0_346, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk21_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)))))). 3.26/3.47 cnf(i_0_3038, 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))))). 3.26/3.47 cnf(i_0_1575, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk112_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_1592, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_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))))). 3.26/3.47 cnf(i_0_2699, 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)))). 3.26/3.47 cnf(i_0_6520, 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)))). 3.26/3.47 cnf(i_0_1071, 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)))). 3.26/3.47 cnf(i_0_587, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_5249, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Lattices_Oab__semigroup__idem__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_1572, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk110_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_1500, 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)),esk106_3(X1,X3,X2)),hAPP(hAPP(c_Set_Oinsert(X2),esk105_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)))). 3.26/3.47 cnf(i_0_845, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk67_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)))). 3.26/3.47 cnf(i_0_5802, 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))))). 3.26/3.47 cnf(i_0_559, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_1203, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|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,esk91_3(X1,X2,X3)))))|~hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 3.26/3.47 cnf(i_0_634, 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)))). 3.26/3.47 cnf(i_0_5278, 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)))). 3.26/3.47 cnf(i_0_7285, 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))))). 3.26/3.47 cnf(i_0_6906, plain, (c_List_Olist__ex1(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk490_4(X3,X2,X1,X4)),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.47 cnf(i_0_7274, 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)))). 3.26/3.47 cnf(i_0_1209, 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)))). 3.26/3.47 cnf(i_0_6273, 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))). 3.26/3.47 cnf(i_0_2948, 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))). 3.26/3.47 cnf(i_0_7315, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=c_List_OtakeWhile(X1,X4,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|~hBOOL(hAPP(X4,hAPP(hAPP(c_List_Onth(X1),X3),esk515_4(X4,X3,X1,X2)))))). 3.26/3.47 cnf(i_0_1816, 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)))). 3.26/3.47 cnf(i_0_5257, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),esk383_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))))). 3.26/3.47 cnf(i_0_5660, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,X2,esk410_5(X3,X4,X5,X2,X1),esk411_5(X3,X4,X5,X2,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,hAPP(hAPP(c_Set_Oinsert(X1),X5),X4)),X3)))). 3.26/3.47 cnf(i_0_6745, 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)))). 3.26/3.47 cnf(i_0_5719, 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)))). 3.26/3.47 cnf(i_0_2512, 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)))). 3.26/3.47 cnf(i_0_6099, 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)))). 3.26/3.47 cnf(i_0_1666, 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)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 3.26/3.47 cnf(i_0_5727, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X1,X2,esk419_5(X3,X4,X5,X2,X1),esk420_5(X3,X4,X5,X2,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,X2,hAPP(hAPP(c_Set_Oinsert(X1),X5),X4)),X3)))). 3.26/3.47 cnf(i_0_3492, 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)))). 3.26/3.47 cnf(i_0_5925, 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)))). 3.26/3.47 cnf(i_0_3563, 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))). 3.26/3.47 cnf(i_0_1202, 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,esk91_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))))). 3.26/3.47 cnf(i_0_2485, 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)))). 3.26/3.47 cnf(i_0_51, 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))))). 3.26/3.47 cnf(i_0_6878, 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))). 3.26/3.47 cnf(i_0_2838, 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)),esk212_3(X3,X2,X1)),X2)))). 3.26/3.47 cnf(i_0_862, plain, (hAPP(hAPP(c_List_Oappend(X1),esk69_3(X2,X3,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk70_3(X2,X3,X1)))=X2|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X2))))). 3.26/3.47 cnf(i_0_810, plain, (hAPP(hAPP(c_List_Oappend(X1),esk59_3(X2,X3,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk60_3(X2,X3,X1)))=X2|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X2))))). 3.26/3.47 cnf(i_0_5377, plain, (hAPP(hAPP(c_List_Oappend(X1),esk391_3(X2,X3,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk392_3(X2,X3,X1)))=X2|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_List_Oset(X1),X2))))). 3.26/3.47 cnf(i_0_1941, 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))). 3.26/3.47 cnf(i_0_3391, 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)))). 3.26/3.47 cnf(i_0_2633, 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)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))). 3.26/3.47 cnf(i_0_2781, 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))))). 3.26/3.47 cnf(i_0_4598, 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)))). 3.26/3.47 cnf(i_0_2063, 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)))). 3.26/3.47 cnf(i_0_1548, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk110_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_1555, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_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,esk112_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_7304, 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)))). 3.26/3.47 cnf(i_0_4840, 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)))). 3.26/3.47 cnf(i_0_2127, 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)))). 3.26/3.47 cnf(i_0_6864, 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))). 3.26/3.47 cnf(i_0_2220, 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))))). 3.26/3.47 cnf(i_0_1636, 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))))). 3.26/3.47 cnf(i_0_700, 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))))). 3.26/3.47 cnf(i_0_2146, 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))). 3.26/3.47 cnf(i_0_6151, 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))). 3.26/3.47 cnf(i_0_7440, 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)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))). 3.26/3.47 cnf(i_0_314, 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)|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~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)))). 3.26/3.47 cnf(i_0_1409, 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))). 3.26/3.47 cnf(i_0_1254, 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))). 3.26/3.47 cnf(i_0_4207, 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))). 3.26/3.47 cnf(i_0_4780, 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))). 3.26/3.47 cnf(i_0_6370, 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)|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)))). 3.26/3.47 cnf(i_0_6815, 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)))). 3.26/3.47 cnf(i_0_4003, 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)))). 3.26/3.47 cnf(i_0_5261, 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_Olattice_OInf__fin(X2,c_Orderings_Oord__class_Omin(X2),X1)),c_Big__Operators_Olattice_OSup__fin(X2,c_Orderings_Oord__class_Omax(X2),X1)))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_4166, 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))). 3.26/3.47 cnf(i_0_4518, 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))). 3.26/3.47 cnf(i_0_1568, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk112_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)))). 3.26/3.47 cnf(i_0_1559, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_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)))). 3.26/3.47 cnf(i_0_5155, 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))))). 3.26/3.47 cnf(i_0_5131, plain, (hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk369_3(X2,X3,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),c_Enum_On__lists(X1,X2,c_Enum_Oenum__class_Oenum(X1)))))|~c_Enum_Oex__n__lists(X1,X3,X2)|~class_Enum_Oenum(X1))). 3.26/3.47 cnf(i_0_7384, 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)))). 3.26/3.47 cnf(i_0_3750, 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)))). 3.26/3.47 cnf(i_0_5403, 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)))). 3.26/3.47 cnf(i_0_1145, 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,esk85_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)))). 3.26/3.47 cnf(i_0_1251, 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)))). 3.26/3.47 cnf(i_0_5885, plain, (X1=X2|hAPP(c_Map_Omap__of(X3,X4),hAPP(hAPP(c_List_Ozip(X3,X4),X5),X1))!=hAPP(c_Map_Omap__of(X3,X4),hAPP(hAPP(c_List_Ozip(X3,X4),X5),X2))|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)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X5)|~hBOOL(hAPP(c_List_Odistinct(X3),X5)))). 3.26/3.47 cnf(i_0_7017, 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))). 3.26/3.47 cnf(i_0_6899, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk488_5(X3,X4,X5,X2,X1)),esk489_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))))). 3.26/3.47 cnf(i_0_1491, 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)))). 3.26/3.47 cnf(i_0_5186, 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)))). 3.26/3.47 cnf(i_0_4048, 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)))). 3.26/3.47 cnf(i_0_4736, 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)))). 3.26/3.47 cnf(i_0_940, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_1087, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))|esk81_2(X2,X1)!=esk80_2(X2,X1)|~hBOOL(hAPP(c_List_Odistinct(X1),esk79_2(X2,X1)))|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_6269, 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,esk447_6(X5,X2,X1,X4,X3,X6)),esk448_6(X5,X2,X1,X4,X3,X6)))))). 3.26/3.47 cnf(i_0_1652, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_6198, plain, (hBOOL(hAPP(c_List_Odistinct(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_fun(X1,tc_HOL_Obool)),c_List_Oset(X1)),c_Enum_Osublists(X1,X2))))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.47 cnf(i_0_5367, 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)))). 3.26/3.47 cnf(i_0_4495, 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)))). 3.26/3.47 cnf(i_0_6222, 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)))). 3.26/3.47 cnf(i_0_2208, 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)))). 3.26/3.47 cnf(i_0_588, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_351, 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)))). 3.26/3.47 cnf(i_0_4559, 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)))). 3.26/3.47 cnf(i_0_6893, 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)))). 3.26/3.47 cnf(i_0_347, 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)))). 3.26/3.47 cnf(i_0_560, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_6362, 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)))). 3.26/3.47 cnf(i_0_5264, 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)))). 3.26/3.47 cnf(i_0_4368, 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)))). 3.26/3.47 cnf(i_0_6282, 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))). 3.26/3.47 cnf(i_0_1200, 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)). 3.26/3.47 cnf(i_0_2060, 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))))). 3.26/3.47 cnf(i_0_7465, 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))). 3.26/3.47 cnf(i_0_6570, 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)))). 3.26/3.47 cnf(i_0_1240, 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)))). 3.26/3.47 cnf(i_0_6740, 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)))). 3.26/3.47 cnf(i_0_2474, 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)))). 3.26/3.47 cnf(i_0_3475, 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)))). 3.26/3.47 cnf(i_0_6377, 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)))). 3.26/3.47 cnf(i_0_641, plain, (hAPP(c_Nat_OSuc,esk48_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))))). 3.26/3.47 cnf(i_0_4774, plain, (hAPP(c_Nat_OSuc,esk347_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))))). 3.26/3.47 cnf(i_0_6772, 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))). 3.26/3.47 cnf(i_0_455, 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)))). 3.26/3.47 cnf(i_0_2558, 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)))). 3.26/3.47 cnf(i_0_5454, 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))))). 3.26/3.47 cnf(i_0_548, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk40_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_6248, 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)))). 3.26/3.47 cnf(i_0_7129, 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))). 3.26/3.47 cnf(i_0_1863, 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)))). 3.26/3.47 cnf(i_0_4108, 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))). 3.26/3.47 cnf(i_0_4534, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)=c_List_Olist_ONil(X1)|hBOOL(hAPP(hAPP(c_member(X1),esk330_3(X3,X2,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.47 cnf(i_0_552, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk42_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_7432, 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))))))). 3.26/3.47 cnf(i_0_6243, 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))). 3.26/3.47 cnf(i_0_4225, 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))). 3.26/3.47 cnf(i_0_1691, plain, (hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),X4))|~c_List_Olist__all2(X1,X2,X3,X5,X6)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),X4),hAPP(c_List_Oset(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X5),X6)))))). 3.26/3.47 cnf(i_0_2651, 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))). 3.26/3.47 cnf(i_0_2164, plain, (hBOOL(hAPP(X1,esk157_4(X1,X2,X3,X4)))|hBOOL(hAPP(X1,esk156_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)))). 3.26/3.47 cnf(i_0_5504, 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)))). 3.26/3.47 cnf(i_0_5217, 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)))). 3.26/3.47 cnf(i_0_1593, 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)),esk112_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))))). 3.26/3.47 cnf(i_0_7117, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),esk505_7(X3,X4,X1,X5,X6,X7,X2)),X1))|~c_Nitpick_Ofold__graph_H(X2,X7,X6,X5,X1,hAPP(hAPP(X6,X4),X3)))). 3.26/3.47 cnf(i_0_2211, 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))|c_List_Olist_ONil(X1)=X2|~class_Lattices_Oab__semigroup__idem__mult(X1))). 3.26/3.47 cnf(i_0_3776, 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)))). 3.26/3.47 cnf(i_0_1584, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_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))))). 3.26/3.47 cnf(i_0_2313, 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)))). 3.26/3.47 cnf(i_0_1151, 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))). 3.26/3.47 cnf(i_0_1552, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_370, 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)))). 3.26/3.47 cnf(i_0_4818, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk349_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)))). 3.26/3.47 cnf(i_0_4964, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk359_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)))). 3.26/3.47 cnf(i_0_74, 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))). 3.26/3.47 cnf(i_0_7229, 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))). 3.26/3.47 cnf(i_0_7182, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X4))=hAPP(X3,hAPP(hAPP(c_Set_Oinsert(X5),X2),X4))|X4=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X5),X2),X4))|~c_Finite__Set_Ofolding__one(X5,X1,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 3.26/3.47 cnf(i_0_3022, 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))). 3.26/3.47 cnf(i_0_7462, 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)))). 3.26/3.47 cnf(i_0_2609, 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))). 3.26/3.47 cnf(i_0_5352, 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))). 3.26/3.47 cnf(i_0_5803, 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))). 3.26/3.47 cnf(i_0_6491, 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))). 3.26/3.47 cnf(i_0_2505, 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))). 3.26/3.47 cnf(i_0_3039, 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))). 3.26/3.47 cnf(i_0_71, 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))). 3.26/3.47 cnf(i_0_7318, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=c_List_OtakeWhile(X1,X4,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk515_4(X4,X3,X1,X2)),X2))|hBOOL(hAPP(X4,hAPP(hAPP(c_List_Onth(X1),X3),X2))))). 3.26/3.47 cnf(i_0_6535, 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))))). 3.26/3.47 cnf(i_0_6626, 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)))). 3.26/3.47 cnf(i_0_4586, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),esk334_5(X3,X4,X5,X2,X1)),X4),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),X5),X4),X3))|~hBOOL(hAPP(X1,X5)))). 3.26/3.47 cnf(i_0_1605, 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))). 3.26/3.47 cnf(i_0_6581, 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)))). 3.26/3.47 cnf(i_0_2147, 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))). 3.26/3.47 cnf(i_0_5122, 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))). 3.26/3.47 cnf(i_0_3157, 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))). 3.26/3.47 cnf(i_0_3971, 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))). 3.26/3.47 cnf(i_0_3957, 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)))). 3.26/3.47 cnf(i_0_6877, 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_Rings_Oring__1(X2)|~class_Groups_Ocomm__monoid__mult(X2))). 3.26/3.47 cnf(i_0_486, 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))). 3.26/3.47 cnf(i_0_784, 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))). 3.26/3.47 cnf(i_0_5622, 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))). 3.26/3.47 cnf(i_0_5889, 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))). 3.26/3.47 cnf(i_0_7118, plain, (hAPP(hAPP(X1,X2),X3)=X4|hBOOL(hAPP(hAPP(c_member(X5),esk505_7(X3,X2,X6,X4,X1,X7,X5)),X6))|~c_Nitpick_Ofold__graph_H(X5,X7,X1,X4,X6,hAPP(hAPP(X1,X2),X3)))). 3.26/3.47 cnf(i_0_5272, 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)))). 3.26/3.47 cnf(i_0_5202, 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)))). 3.26/3.47 cnf(i_0_7126, 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))). 3.26/3.47 cnf(i_0_6802, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_4456, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_663, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))). 3.26/3.47 cnf(i_0_703, 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(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))). 3.26/3.47 cnf(i_0_1510, 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))))). 3.26/3.47 cnf(i_0_6128, 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)))). 3.26/3.47 cnf(i_0_5737, 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)))). 3.26/3.47 cnf(i_0_1577, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 3.26/3.47 cnf(i_0_6755, 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_Rings_Olinordered__idom(X1)|~class_Int_Onumber__ring(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)))). 3.26/3.47 cnf(i_0_571, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk42_3(X1,X2,X3)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_545, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk40_3(X1,X2,X3)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_579, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk41_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_5577, plain, (c_Map_Omap__upds(X1,X2,X3,X4,hAPP(hAPP(c_List_Olist__update(X2,X5),X6),X7))=c_Map_Omap__upds(X1,X2,X3,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)))). 3.26/3.47 cnf(i_0_5658, plain, (hAPP(hAPP(c_Set_Oinsert(X1),esk410_5(X2,X3,X4,X5,X1)),esk411_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)))). 3.26/3.47 cnf(i_0_5728, plain, (hAPP(hAPP(c_Set_Oinsert(X1),esk419_5(X2,X3,X4,X5,X1)),esk420_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)))). 3.26/3.47 cnf(i_0_4589, plain, (X1=X2|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X3,X4)),esk334_5(X1,X5,X2,X4,X3)),X5),X1))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X3,X4)),X2),X5),X1)))). 3.26/3.47 cnf(i_0_585, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_831, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk64_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))))). 3.26/3.47 cnf(i_0_3680, 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))))). 3.26/3.47 cnf(i_0_5922, 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)),X3),c_List_Olists(X1,X4)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4))))). 3.26/3.47 cnf(i_0_2456, 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(X1)),X3)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.47 cnf(i_0_2309, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk165_3(X2,X3,X1)),X3)),X2))|hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))))). 3.26/3.47 cnf(i_0_972, 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)))). 3.26/3.47 cnf(i_0_7043, 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)))). 3.26/3.47 cnf(i_0_5789, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),esk423_3(X3,X1,X2)),X1))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_5788, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),esk423_3(X3,X1,X2)),X3))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),hAPP(c_Finite__Set_Ofold1(X2,c_Orderings_Oord__class_Omin(X2)),X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_4481, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk327_3(X2,X3,X1)),X3)),X2))|hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))))). 3.26/3.47 cnf(i_0_5178, 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)))). 3.26/3.47 cnf(i_0_3880, 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))))). 3.26/3.47 cnf(i_0_3427, 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))))). 3.26/3.47 cnf(i_0_7525, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk535_3(X2,X3,X1)),X3)),X2))|hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))))). 3.26/3.47 cnf(i_0_7141, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),esk509_3(X3,X2,X1)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_7142, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),esk509_3(X3,X2,X1)),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Orderings_Oord__class_Omin(X1)),X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5887, 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))). 3.26/3.47 cnf(i_0_6711, 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)))). 3.26/3.47 cnf(i_0_7418, 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)))). 3.26/3.47 cnf(i_0_5510, 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))). 3.26/3.47 cnf(i_0_4349, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X1)))|~c_Hoare__Mirabelle_Ostate__not__singleton|~hBOOL(hAPP(c_Com_OWT,X1)))). 3.26/3.47 cnf(i_0_4086, 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)))). 3.26/3.47 cnf(i_0_3771, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk272_4(X4,X2,X3,X1))),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_Relation_ODomain(X1,X2),X4))))). 3.26/3.47 cnf(i_0_6337, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk449_4(X4,X2,X3,X1))),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),hAPP(c_Relation_ODomain(X1,X2),X4))))). 3.26/3.47 cnf(i_0_3588, 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)))). 3.26/3.47 cnf(i_0_5973, 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)))). 3.26/3.47 cnf(i_0_2517, 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)))). 3.26/3.47 cnf(i_0_4753, 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))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Oone__class_Oone(X1)),X2))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_350, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_7406, plain, (c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4))=hAPP(hAPP(c_List_Oappend(X1),X3),c_List_OtakeWhile(X1,X2,X4))|hBOOL(hAPP(hAPP(c_member(X1),esk520_4(X4,X2,X3,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.47 cnf(i_0_274, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk19_4(X3,X1,X4,X2)),X4)),X3))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(c_Relation_ORange(X1,X2),X3))))). 3.26/3.47 cnf(i_0_2689, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk190_4(X3,X1,X4,X2)),X4)),X3))|~hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(c_Relation_ORange(X1,X2),X3))))). 3.26/3.47 cnf(i_0_2833, plain, (hAPP(c_Option_Ooption_OSome(X1),esk211_5(X2,X3,X4,X1,X5))=hAPP(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))))). 3.26/3.47 cnf(i_0_4996, 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)))). 3.26/3.47 cnf(i_0_580, plain, (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)),esk41_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_650, 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)))). 3.26/3.47 cnf(i_0_4151, 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)))). 3.26/3.47 cnf(i_0_1854, 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)))). 3.26/3.47 cnf(i_0_4583, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),X3),X4),X5))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(X1,X2)),X6),X4),X5))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X2),X3),X4),X6))|~hBOOL(hAPP(X1,X3)))). 3.26/3.47 cnf(i_0_586, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_6178, plain, (c_Enum_Oall__n__lists(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk444_3(X3,X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),c_Enum_On__lists(X1,X3,c_Enum_Oenum__class_Oenum(X1)))))|~class_Enum_Oenum(X1))). 3.26/3.47 cnf(i_0_2445, 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)))). 3.26/3.47 cnf(i_0_557, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_4999, 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))))). 3.26/3.47 cnf(i_0_1573, 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)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk110_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_1580, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_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,esk112_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_1197, 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),esk90_5(X3,X4,X5,X2,X1)),hAPP(c_List_Oset(X1),X4))))). 3.26/3.47 cnf(i_0_534, 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)))). 3.26/3.47 cnf(i_0_4893, 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_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(X5,X6)))|~hBOOL(hAPP(hAPP(c_member(X3),X6),X4)))). 3.26/3.47 cnf(i_0_4449, 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_Orderings_Olinorder(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),hAPP(X4,X6)),X5))|~hBOOL(hAPP(hAPP(c_member(X2),X6),X3)))). 3.26/3.47 cnf(i_0_5833, 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)))). 3.26/3.47 cnf(i_0_1717, plain, (hAPP(c_Set_Oimage(X1,X2,esk123_4(X3,X1,X2,X4)),X3)=X4|c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))=X4|~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)))). 3.26/3.47 cnf(i_0_5495, 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(c_Option_Ooption_OSome(X3),X7)!=hAPP(X5,X6)|hAPP(c_Option_Ooption_OSome(X1),X2)!=hAPP(X4,X7))). 3.26/3.47 cnf(i_0_1475, 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))). 3.26/3.47 cnf(i_0_5674, 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))). 3.26/3.47 cnf(i_0_3881, 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))))). 3.26/3.47 cnf(i_0_7398, 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))). 3.26/3.47 cnf(i_0_3379, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(X3)|hBOOL(hAPP(hAPP(c_member(X4),esk244_5(X2,X1,X5,X4,X3)),X5))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X3),X1),X5)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Oordered__ab__group__add(X3)|~hBOOL(hAPP(hAPP(c_member(X4),X2),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 3.26/3.47 cnf(i_0_5515, 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)))))). 3.26/3.47 cnf(i_0_6550, 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),esk465_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)))). 3.26/3.47 cnf(i_0_558, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_3426, 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))))). 3.26/3.47 cnf(i_0_6710, 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))))). 3.26/3.47 cnf(i_0_7419, 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))))). 3.26/3.47 cnf(i_0_7124, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk507_4(X2,X3,X1,X4)),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))))). 3.26/3.47 cnf(i_0_6996, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Divides_Odiv__class_Odiv(X1),X2),X3)),c_Groups_Oone__class_Oone(X1))|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 3.26/3.47 cnf(i_0_3167, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(c_Fun_Ocomp(X5,X5,X5,hAPP(X1,X4)),hAPP(X6,X3))|~c_Finite__Set_Ofolding__idem(X2,X5,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_3917, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk285_3(X2,X1,X3)),X3)),X2))|~hBOOL(hAPP(hAPP(c_member(X1),X3),esk283_2(X2,X1))))). 3.26/3.47 cnf(i_0_3549, 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)))). 3.26/3.47 cnf(i_0_1540, 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)))). 3.26/3.47 cnf(i_0_1163, 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)))). 3.26/3.47 cnf(i_0_4309, 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)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). 3.26/3.47 cnf(i_0_644, plain, (hAPP(c_Nat_OSuc,esk48_5(X1,X2,X3,X4,X5))=X2|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~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))))). 3.26/3.47 cnf(i_0_4777, plain, (hAPP(c_Nat_OSuc,esk347_5(X1,X2,X3,X4,X5))=X2|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~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))))). 3.26/3.47 cnf(i_0_3272, plain, (hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(X1,X2,X3),X4),X5)=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)|hBOOL(hAPP(hAPP(c_member(X1),esk237_5(X4,X3,X5,X1,X2)),hAPP(c_List_Oset(X1),X5)))|~class_Orderings_Olinorder(X2))). 3.26/3.47 cnf(i_0_1539, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),esk108_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)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)))). 3.26/3.47 cnf(i_0_4881, 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)))). 3.26/3.47 cnf(i_0_6617, 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)))). 3.26/3.47 cnf(i_0_572, plain, (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)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk42_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_546, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk40_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_5801, 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))). 3.26/3.47 cnf(i_0_1596, 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)))). 3.26/3.47 cnf(i_0_1595, 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)))). 3.26/3.47 cnf(i_0_244, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk15_3(X1,X2,X3)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk14_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))))). 3.26/3.47 cnf(i_0_4366, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk318_3(X1,X2,X3)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk317_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))))). 3.26/3.47 cnf(i_0_6846, 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)))). 3.26/3.47 cnf(i_0_7286, 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))). 3.26/3.47 cnf(i_0_6110, 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))). 3.26/3.47 cnf(i_0_2951, 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)))). 3.26/3.47 cnf(i_0_1035, 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)))). 3.26/3.47 cnf(i_0_4737, 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)))). 3.26/3.47 cnf(i_0_1781, 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),esk130_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)))). 3.26/3.47 cnf(i_0_5869, 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)))). 3.26/3.47 cnf(i_0_6900, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk489_5(X2,X3,X4,X1,X5)),hAPP(X2,esk488_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))))). 3.26/3.47 cnf(i_0_2864, plain, (hAPP(hAPP(c_Map_Omap__of(X1,X2),hAPP(hAPP(c_List_Ozip(X1,X2),c_Enum_Oenum__class_Oenum(X1)),X3)),X4)=hAPP(c_Option_Ooption_OSome(X2),esk213_4(X4,X3,X2,X1))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_Enum_Oenum__class_Oenum(X1))!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X3)|~class_Enum_Oenum(X1))). 3.26/3.47 cnf(i_0_6059, 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),esk435_3(X3,X2,X1)),esk436_3(X3,X2,X1))),X3)))). 3.26/3.47 cnf(i_0_3057, 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),esk229_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)))). 3.26/3.47 cnf(i_0_2766, 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),esk204_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)))). 3.26/3.47 cnf(i_0_6688, 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),esk470_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)))). 3.26/3.47 cnf(i_0_1364, 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))))). 3.26/3.47 cnf(i_0_6058, 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),esk435_3(X3,X2,X1)),esk437_3(X3,X2,X1))),X3)))). 3.26/3.47 cnf(i_0_3172, 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))))). 3.26/3.47 cnf(i_0_1332, 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))). 3.26/3.47 cnf(i_0_6100, 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))). 3.26/3.47 cnf(i_0_5617, 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))). 3.26/3.47 cnf(i_0_394, 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))))). 3.26/3.47 cnf(i_0_2924, 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))). 3.26/3.47 cnf(i_0_5284, 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))). 3.26/3.47 cnf(i_0_3694, 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)))). 3.26/3.47 cnf(i_0_3515, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk254_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk253_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1))))). 3.26/3.47 cnf(i_0_3942, 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)))). 3.26/3.47 cnf(i_0_4581, 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))). 3.26/3.47 cnf(i_0_263, 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))). 3.26/3.47 cnf(i_0_2906, 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))). 3.26/3.47 cnf(i_0_2169, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk155_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)))). 3.26/3.47 cnf(i_0_330, 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))). 3.26/3.47 cnf(i_0_7280, 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))|X3=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.47 cnf(i_0_5897, 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_Lattices_Osemilattice__inf(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X3),hAPP(c_Finite__Set_Ofold1(X2,c_Lattices_Osemilattice__inf__class_Oinf(X2)),X1)))|~hBOOL(hAPP(hAPP(c_member(X2),X4),X1))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_3676, 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)))). 3.26/3.47 cnf(i_0_5533, 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_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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)))). 3.26/3.47 cnf(i_0_2171, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk155_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)))). 3.26/3.47 cnf(i_0_6803, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Rings_Olinordered__idom(X2)|~class_Int_Onumber__ring(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))))). 3.26/3.47 cnf(i_0_4455, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))|~class_Rings_Olinordered__idom(X2)|~class_Int_Onumber__ring(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))))). 3.26/3.47 cnf(i_0_662, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))|~class_Rings_Olinordered__idom(X2)|~class_Int_Onumber__ring(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))))). 3.26/3.47 cnf(i_0_1812, 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)))). 3.26/3.47 cnf(i_0_661, 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))))). 3.26/3.47 cnf(i_0_6754, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))|~class_Rings_Olinordered__idom(X2)|~class_Int_Onumber__ring(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))))). 3.26/3.47 cnf(i_0_3884, 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))))). 3.26/3.47 cnf(i_0_6045, 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|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(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)))). 3.26/3.47 cnf(i_0_7319, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=c_List_OtakeWhile(X1,X4,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk515_4(X4,X3,X1,X2)),X2)))). 3.26/3.47 cnf(i_0_524, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk35_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))))). 3.26/3.47 cnf(i_0_494, 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(X2)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))). 3.26/3.47 cnf(i_0_5084, 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))))). 3.26/3.47 cnf(i_0_4969, 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)))))). 3.26/3.47 cnf(i_0_4619, 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),esk335_7(X7,X6,X5,X4,X3,X2,X1)),X4)))). 3.26/3.47 cnf(i_0_3882, 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))))). 3.26/3.47 cnf(i_0_3418, 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))))). 3.26/3.47 cnf(i_0_3416, 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))))). 3.26/3.47 cnf(i_0_6703, 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))))). 3.26/3.47 cnf(i_0_3511, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk254_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk253_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_4505, 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)))). 3.26/3.47 cnf(i_0_2200, plain, (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,X2)),X3))|c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X2),X3))!=hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),X4),X1))). 3.26/3.47 cnf(i_0_985, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk75_5(X5,X4,X3,X2,X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))). 3.26/3.47 cnf(i_0_6215, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk445_5(X3,X5,X2,X4,X1)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4))). 3.26/3.47 cnf(i_0_7409, 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))))). 3.26/3.47 cnf(i_0_6699, 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)))). 3.26/3.47 cnf(i_0_7408, 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)))). 3.26/3.47 cnf(i_0_2868, 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)))). 3.26/3.47 cnf(i_0_4797, 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)))). 3.26/3.47 cnf(i_0_7529, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk536_6(X3,X4,X5,X6,X2,X1)),esk538_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))))). 3.26/3.47 cnf(i_0_615, 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))). 3.26/3.47 cnf(i_0_7348, 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,esk517_3(X2,X3,X1))!=hAPP(X3,esk518_3(X2,X3,X1))|~c_Wellfounded_OwfP(X1,hAPP(X3,esk516_3(X2,X3,X1))))). 3.26/3.47 cnf(i_0_3702, 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)))). 3.26/3.47 cnf(i_0_1178, 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)))). 3.26/3.47 cnf(i_0_4595, 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)))). 3.26/3.47 cnf(i_0_2367, 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)))). 3.26/3.47 cnf(i_0_690, 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)))). 3.26/3.47 cnf(i_0_4822, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk350_5(X3,X4,X1,X5,X2)),X5)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_Relation_OImage(X1,X2,X4),X3))))). 3.26/3.47 cnf(i_0_5825, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk425_5(X3,X4,X1,X5,X2)),X5)),X4))|~hBOOL(hAPP(hAPP(c_member(X2),X5),hAPP(c_Relation_OImage(X1,X2,X4),X3))))). 3.26/3.47 cnf(i_0_5895, 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_Lattices_Osemilattice__inf__class_Oinf(X2)),X1)))|~class_Lattices_Osemilattice__inf(X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X3),esk429_3(X3,X1,X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_3677, 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),esk266_3(X3,X2,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5531, 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_Orderings_Oord__class_Omin(X1)),X2)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),X3),esk404_3(X3,X2,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5752, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk421_6(X3,X4,X2,X1,X5,X6)),esk422_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))))). 3.26/3.47 cnf(i_0_3141, 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)))). 3.26/3.47 cnf(i_0_691, 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)))). 3.26/3.47 cnf(i_0_592, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(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),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)))). 3.26/3.47 cnf(i_0_7387, plain, (hAPP(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(hAPP(c_Map_Omap__of(X1,X2),X5),X6)|X6=X3)). 3.26/3.47 cnf(i_0_2839, 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)))). 3.26/3.47 cnf(i_0_593, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(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),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)))). 3.26/3.47 cnf(i_0_833, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk63_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))))). 3.26/3.47 cnf(i_0_3423, 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))))). 3.26/3.47 cnf(i_0_5143, 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)))). 3.26/3.47 cnf(i_0_4306, 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)))). 3.26/3.47 cnf(i_0_245, plain, (hAPP(X1,esk15_3(X2,X1,X3))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk14_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))))). 3.26/3.47 cnf(i_0_4367, plain, (hAPP(X1,esk318_3(X2,X1,X3))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk317_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))))). 3.26/3.47 cnf(i_0_4700, plain, (hAPP(c_Relation_OImage(X1,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),esk338_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))))). 3.26/3.47 cnf(i_0_3421, 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))))). 3.26/3.47 cnf(i_0_3885, 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))))). 3.26/3.47 cnf(i_0_3883, 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))))). 3.26/3.47 cnf(i_0_6701, 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)))). 3.26/3.47 cnf(i_0_4150, 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)))). 3.26/3.47 cnf(i_0_2205, 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)))). 3.26/3.47 cnf(i_0_7448, 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)))). 3.26/3.47 cnf(i_0_710, 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)))). 3.26/3.47 cnf(i_0_7410, 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)))). 3.26/3.47 cnf(i_0_3886, 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))))). 3.26/3.47 cnf(i_0_3417, 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))))). 3.26/3.47 cnf(i_0_6704, 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))))). 3.26/3.47 cnf(i_0_4215, plain, (hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3))=hAPP(c_List_Oset(X1),X4)|hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)!=c_List_Opartition(X1,X5,X4))). 3.26/3.47 cnf(i_0_1815, 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))). 3.26/3.47 cnf(i_0_4118, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))|hBOOL(hAPP(hAPP(X3,esk302_4(X5,X4,X3,X2)),esk303_4(X5,X4,X3,X2))))). 3.26/3.47 cnf(i_0_6440, 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)))). 3.26/3.47 cnf(i_0_5778, 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)))). 3.26/3.47 cnf(i_0_7414, 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))))). 3.26/3.47 cnf(i_0_7413, 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)))). 3.26/3.47 cnf(i_0_6700, 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)))). 3.26/3.47 cnf(i_0_5508, 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)))). 3.26/3.47 cnf(i_0_3802, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk277_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk276_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X1|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),X2),X1))))). 3.26/3.47 cnf(i_0_5417, plain, (hAPP(c_List_Ofoldl(tc_List_Olist(X1),X1,hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olinorder__class_Oinsort__key(X1,X1,c_COMBI(X1))),c_List_Olist_ONil(X1)),X2)=c_List_Olinorder__class_Osort__key(X1,X1,c_COMBI(X1),X2)|~class_Orderings_Olinorder(X1))). 3.26/3.47 cnf(i_0_2279, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),esk162_3(X3,X2,X1)),X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3))))). 3.26/3.47 cnf(i_0_7087, 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))))). 3.26/3.47 cnf(i_0_671, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk49_3(X3,X2,X1)),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk50_3(X3,X2,X1)),X2)))). 3.26/3.47 cnf(i_0_199, 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_Groups_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1))))|~class_Rings_Olinordered__ring__strict(X2))). 3.26/3.47 cnf(i_0_198, 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_Groups_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3))))|~class_Rings_Olinordered__ring__strict(X2))). 3.26/3.47 cnf(i_0_1239, 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(hAPP(c_Map_Omap__of(X1,X2),X5),X3)!=hAPP(c_Option_Ooption_OSome(X2),X4))). 3.26/3.47 cnf(i_0_6285, 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)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X2)). 3.26/3.47 cnf(i_0_678, plain, (hAPP(c_Set_Oimage(tc_Nat_Onat,X1,esk52_2(X2,X1)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),esk51_2(X2,X1)))=X2|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_7086, 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)))). 3.26/3.47 cnf(i_0_7085, 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)))). 3.26/3.47 cnf(i_0_7084, 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)))). 3.26/3.47 cnf(i_0_1583, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_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)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 3.26/3.47 cnf(i_0_948, 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)))). 3.26/3.47 cnf(i_0_2852, 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)))). 3.26/3.47 cnf(i_0_5229, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_4579, 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)))). 3.26/3.47 cnf(i_0_3920, 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))). 3.26/3.47 cnf(i_0_4343, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk314_3(X2,X3,X1)),esk315_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))))). 3.26/3.47 cnf(i_0_2095, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_3258, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_868, 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))). 3.26/3.47 cnf(i_0_1558, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_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)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_5593, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool))|c_Fun_Oinj__on(X2,X3,X4,c_Complete__Lattice_OInf__class_OInf(tc_fun(X2,tc_HOL_Obool),X1))|hBOOL(hAPP(hAPP(c_member(tc_fun(X2,tc_HOL_Obool)),esk407_4(X4,X3,X2,X1)),X1)))). 3.26/3.47 cnf(i_0_474, 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)))). 3.26/3.47 cnf(i_0_6068, 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)))). 3.26/3.47 cnf(i_0_3887, 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))))). 3.26/3.47 cnf(i_0_3422, 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))))). 3.26/3.47 cnf(i_0_7415, 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)))). 3.26/3.47 cnf(i_0_6702, 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)))). 3.26/3.47 cnf(i_0_5563, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk406_4(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3),X3,X2)),esk405_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)))). 3.26/3.47 cnf(i_0_6138, plain, (hAPP(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))))). 3.26/3.47 cnf(i_0_1905, 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))))). 3.26/3.47 cnf(i_0_3701, 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))). 3.26/3.47 cnf(i_0_4493, 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))). 3.26/3.47 cnf(i_0_5105, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(X2,X2,X5),X3),X4)|hBOOL(hAPP(hAPP(c_member(X2),X3),X4))|~c_Finite__Set_Ofolding__one(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_6411, plain, (hAPP(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))). 3.26/3.47 cnf(i_0_2648, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk186_4(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3),X3,X2)),esk185_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)))). 3.26/3.47 cnf(i_0_271, 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)))). 3.26/3.47 cnf(i_0_5020, 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))))))). 3.26/3.47 cnf(i_0_5681, 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),esk412_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)))). 3.26/3.47 cnf(i_0_766, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(c_List_Ofilter(X2,X4),X5)))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))|~class_Groups_Omonoid__add(X1)|~hBOOL(hAPP(X4,esk56_5(X3,X4,X5,X2,X1))))). 3.26/3.47 cnf(i_0_3905, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk282_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)))). 3.26/3.47 cnf(i_0_3904, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk282_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)))). 3.26/3.47 cnf(i_0_2186, 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))))). 3.26/3.47 cnf(i_0_2185, 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))))). 3.26/3.47 cnf(i_0_2222, 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))). 3.26/3.47 cnf(i_0_6016, 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)))). 3.26/3.47 cnf(i_0_3975, plain, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(hAPP(c_COMBC(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),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),X1)),X2)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk293_2(X2,X1)),hAPP(X1,esk293_2(X2,X1)))))). 3.26/3.47 cnf(i_0_1450, 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)))). 3.26/3.47 cnf(i_0_863, 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)))). 3.26/3.47 cnf(i_0_4323, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),X2)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=hAPP(c_List_Oset(X1),c_List_Oremove1(X1,X3,X2))|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.47 cnf(i_0_6164, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=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)))). 3.26/3.47 cnf(i_0_2221, 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)))). 3.26/3.47 cnf(i_0_3468, plain, (hAPP(hAPP(X1,X2),esk249_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)))). 3.26/3.47 cnf(i_0_3688, 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))))). 3.26/3.47 cnf(i_0_3101, 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)))). 3.26/3.47 cnf(i_0_3700, 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))). 3.26/3.47 cnf(i_0_3360, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X2),esk242_4(X3,X4,X2,X1)),X4))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_4391, 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)))). 3.26/3.47 cnf(i_0_765, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(c_List_Ofilter(X2,X4),X5)))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))|hAPP(X3,esk56_5(X3,X4,X5,X2,X1))!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Omonoid__add(X1))). 3.26/3.47 cnf(i_0_1735, 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))). 3.26/3.47 cnf(i_0_5096, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X2,X1),X3),X4)))|hBOOL(hAPP(hAPP(c_member(X2),esk366_4(X3,X4,X2,X1)),X4))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_4113, 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),esk301_5(X5,X4,X3,X2,X1)),X4))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 3.26/3.47 cnf(i_0_12, 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),esk3_5(X5,X4,X3,X2,X1)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))). 3.26/3.47 cnf(i_0_7157, 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)))). 3.26/3.47 cnf(i_0_2080, 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))). 3.26/3.47 cnf(i_0_7243, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk513_5(X5,X3,X1,X4,X2)),X4)))). 3.26/3.47 cnf(i_0_7073, plain, (hAPP(hAPP(c_List_Oappend(X1),esk498_5(X2,X3,X4,X5,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk499_5(X2,X3,X4,X5,X1)))=X4|hAPP(c_List_Ofilter(X1,X5),X4)!=hAPP(hAPP(c_List_Olist_OCons(X1),X3),X2))). 3.26/3.47 cnf(i_0_4475, plain, (hAPP(hAPP(c_List_Oappend(X1),esk324_5(X2,X3,X4,X5,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),esk325_5(X2,X3,X4,X5,X1)))=X2|hAPP(c_List_Ofilter(X1,X3),X2)!=hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4))). 3.26/3.47 cnf(i_0_7464, 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,esk526_3(X3,X2,X1))),hAPP(X2,esk527_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),esk526_3(X3,X2,X1)),esk527_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_5244, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),hAPP(X2,esk381_3(X3,X2,X1))),hAPP(X2,esk382_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X1),esk381_3(X3,X2,X1)),esk382_3(X3,X2,X1)))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_5185, 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))). 3.26/3.47 cnf(i_0_2618, 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)))). 3.26/3.47 cnf(i_0_5239, 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))). 3.26/3.47 cnf(i_0_484, 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))). 3.26/3.47 cnf(i_0_1800, 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))). 3.26/3.47 cnf(i_0_2379, 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))=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)))). 3.26/3.47 cnf(i_0_7250, 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))). 3.26/3.47 cnf(i_0_4726, 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,esk342_3(X3,X2,X1))),hAPP(X2,esk343_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),esk342_3(X3,X2,X1)),esk343_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_4470, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(X2,esk322_3(X3,X2,X1))),hAPP(X2,esk323_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),esk322_3(X3,X2,X1)),esk323_3(X3,X2,X1)))|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_279, 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)))). 3.26/3.47 cnf(i_0_576, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_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)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_463, 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)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))). 3.26/3.47 cnf(i_0_5909, 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)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))). 3.26/3.47 cnf(i_0_6590, 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))). 3.26/3.47 cnf(i_0_435, 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,esk30_8(X3,X7,hAPP(c_Set_Oimage(X4,X1,X5),X6),X6,X5,X1,X4,X2)))!=hAPP(X7,esk30_8(X3,X7,hAPP(c_Set_Oimage(X4,X1,X5),X6),X6,X5,X1,X4,X2))|~c_Fun_Oinj__on(X4,X1,X5,X6)|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_6624, 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))). 3.26/3.47 cnf(i_0_4103, plain, (hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))=X3|hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)!=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))). 3.26/3.47 cnf(i_0_786, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Olist__update(X1,X4),X5),X6),hAPP(hAPP(c_List_Olist__update(X2,X7),X5),X8))|~c_List_Olist__all2(X1,X2,X3,X4,X7)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X5),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)))|~hBOOL(hAPP(hAPP(X3,X6),X8)))). 3.26/3.47 cnf(i_0_6835, plain, (c_List_Olist__all2(X1,X2,X3,hAPP(hAPP(c_List_Olist__update(X1,X4),X5),X6),hAPP(hAPP(c_List_Olist__update(X2,X7),X5),X8))|~c_List_Olist__all2(X1,X2,X3,X4,X7)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X5),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X7)))|~hBOOL(hAPP(hAPP(X3,X6),X8)))). 3.26/3.47 cnf(i_0_598, 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))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))). 3.26/3.47 cnf(i_0_6797, 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))))). 3.26/3.47 cnf(i_0_5404, 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)))). 3.26/3.47 cnf(i_0_575, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_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)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_5149, 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)))). 3.26/3.47 cnf(i_0_6487, 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)). 3.26/3.47 cnf(i_0_3467, plain, (hBOOL(hAPP(c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5),esk249_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)))). 3.26/3.47 cnf(i_0_3935, 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))|esk288_3(X3,X2,X1)!=esk287_3(X3,X2,X1))). 3.26/3.47 cnf(i_0_216, 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))). 3.26/3.47 cnf(i_0_4241, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),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)))). 3.26/3.47 cnf(i_0_419, 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))). 3.26/3.47 cnf(i_0_5062, plain, (c_List_Olist__all2(X1,X2,X3,X4,hAPP(hAPP(c_List_Omap(X5,X2),X6),X7))|~c_List_Olist__all2(X1,X5,hAPP(hAPP(c_COMBC(X1,tc_fun(X5,X2),tc_fun(X5,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X5,X2),tc_fun(X5,tc_HOL_Obool)),X1),c_COMBB(X2,tc_HOL_Obool,X5)),X3)),X6),X4,X7))). 3.26/3.47 cnf(i_0_1349, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),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)))). 3.26/3.47 cnf(i_0_4259, plain, (hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))|~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2)))). 3.26/3.47 cnf(i_0_7191, 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))))). 3.26/3.47 cnf(i_0_1805, 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))=X2|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_3934, 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)),esk287_3(X3,X2,X1)),esk288_3(X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.47 cnf(i_0_2500, 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)))). 3.26/3.47 cnf(i_0_5135, 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))). 3.26/3.47 cnf(i_0_4748, 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))=X2|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Lattices_Olattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_3076, 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)),esk230_3(X3,X2,X1)),X2)))). 3.26/3.47 cnf(i_0_7026, 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)))). 3.26/3.47 cnf(i_0_4134, 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,X4),X5))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(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))). 3.26/3.47 cnf(i_0_4278, 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))))). 3.26/3.47 cnf(i_0_900, 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)))). 3.26/3.47 cnf(i_0_3798, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk277_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk276_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))))). 3.26/3.47 cnf(i_0_1226, 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)))). 3.26/3.47 cnf(i_0_1637, 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))))). 3.26/3.47 cnf(i_0_228, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X2)))|hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),esk13_2(X2,X1)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))|~c_Hoare__Mirabelle_Ostate__not__singleton|~hBOOL(hAPP(c_Com_OWT,X2)))). 3.26/3.47 cnf(i_0_3019, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(X1,X2)),X3))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_Enum_Oenum__class_Oenum__all(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_HOL_Obool,X2),X3)),c_Product__Type_OPair(X1,X2))))))). 3.26/3.47 cnf(i_0_2033, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(X1,X2)),X3))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_Enum_Oenum__class_Oenum__ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_HOL_Obool,X2),X3)),c_Product__Type_OPair(X1,X2))))))). 3.26/3.47 cnf(i_0_3199, 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)))). 3.26/3.47 cnf(i_0_5079, plain, (c_Divides_OposDivAlg(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))|~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)))). 3.26/3.47 cnf(i_0_2079, 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))). 3.26/3.47 cnf(i_0_1346, 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)))). 3.26/3.47 cnf(i_0_687, 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)))). 3.26/3.47 cnf(i_0_5017, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(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))))). 3.26/3.47 cnf(i_0_6139, plain, (hAPP(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))))). 3.26/3.47 cnf(i_0_4002, 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),esk295_4(X4,X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_2600, 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),esk179_4(X4,X1,X3,X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.47 cnf(i_0_1718, 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,esk122_4(X4,X1,X2,hAPP(c_Set_Oimage(X1,X2,X3),X4))),hAPP(c_Set_Oimage(X1,X2,X3),X4))),X4)))). 3.26/3.47 cnf(i_0_178, plain, (c_Wellfounded_Owf(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),hAPP(esk10_2(X2,X1),hAPP(c_Nat_OSuc,X3))),hAPP(esk10_2(X2,X1),X3))),X2)))). 3.26/3.47 cnf(i_0_3537, 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)))). 3.26/3.47 cnf(i_0_498, 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)))). 3.26/3.47 cnf(i_0_6453, 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),esk455_4(X4,X1,X3,X2)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.47 cnf(i_0_2341, 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)))). 3.26/3.47 cnf(i_0_5269, 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))). 3.26/3.47 cnf(i_0_7023, 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))). 3.26/3.47 cnf(i_0_5870, 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)))). 3.26/3.47 cnf(i_0_5871, 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)))). 3.26/3.47 cnf(i_0_227, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X2)))|~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,esk13_2(X2,X1)))))|~c_Hoare__Mirabelle_Ostate__not__singleton|~hBOOL(hAPP(c_Com_OWT,X2)))). 3.26/3.47 cnf(i_0_1111, 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))))). 3.26/3.47 cnf(i_0_4634, 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),esk336_5(X5,X4,X3,X2,X1)),X4)))). 3.26/3.47 cnf(i_0_5158, 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),esk372_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_2757, 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),esk202_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)))). 3.26/3.47 cnf(i_0_2277, 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)))). 3.26/3.47 cnf(i_0_6153, 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)))). 3.26/3.47 cnf(i_0_4194, 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),X5))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X4,X1),X2),hAPP(hAPP(c_Set_Oinsert(X4),X3),X5))|hBOOL(hAPP(hAPP(c_member(X4),X3),X5))|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X5)))). 3.26/3.47 cnf(i_0_3102, plain, (X1=X2|hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X3,X3,hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool),X3),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3),c_fNot)),c_fequal)),X2),X1)))). 3.26/3.47 cnf(i_0_7092, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2)),X3),X4))|~class_Orderings_Oorder(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),c_fequal),X3)),X4))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X3),X4)))). 3.26/3.47 cnf(i_0_5268, 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)))). 3.26/3.47 cnf(i_0_1986, plain, (hAPP(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)))))). 3.26/3.47 cnf(i_0_2922, 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_member(X1),X2),c_Int_Oring__1__class_OInts(X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),c_Groups_Ozero__class_Ozero(X1))))). 3.26/3.47 cnf(i_0_1118, 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|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(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)))). 3.26/3.47 cnf(i_0_7479, 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),esk528_3(X3,X2,X1))!=X3|esk530_3(X3,X2,X1)!=esk529_3(X3,X2,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 3.26/3.47 cnf(i_0_5335, 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))))). 3.26/3.47 cnf(i_0_842, 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)))|~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))|~class_Rings_Olinordered__semidom(X1))). 3.26/3.47 cnf(i_0_2298, 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),esk164_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_member(tc_Int_Oint),X1),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X2)))). 3.26/3.47 cnf(i_0_5, 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),esk2_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_member(tc_Int_Oint),X3),X4))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 3.26/3.47 cnf(i_0_2650, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk185_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)))). 3.26/3.47 cnf(i_0_69, 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)))). 3.26/3.47 cnf(i_0_1086, plain, (hBOOL(hAPP(c_List_Odistinct(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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),esk80_2(X2,X1))),hAPP(c_List_Oset(X1),esk81_2(X2,X1)))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_List_Odistinct(X1),esk79_2(X2,X1)))|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_7184, 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)))). 3.26/3.47 cnf(i_0_3091, 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,esk231_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)))). 3.26/3.47 cnf(i_0_5446, 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,esk395_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)))). 3.26/3.47 cnf(i_0_7488, 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)))). 3.26/3.47 cnf(i_0_5565, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk405_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)))). 3.26/3.47 cnf(i_0_3192, 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)))). 3.26/3.47 cnf(i_0_5790, 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)),X1)),X3))|~class_Orderings_Olinorder(X2)|~hBOOL(hAPP(hAPP(c_member(X2),X4),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X2),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_4714, 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)). 3.26/3.47 cnf(i_0_6470, 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)))). 3.26/3.47 cnf(i_0_6593, 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),X3),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=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))). 3.26/3.47 cnf(i_0_7143, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(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),X4),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_6044, 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|X1=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__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))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 3.26/3.47 cnf(i_0_4817, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk349_3(X1,X2,X3)),esk348_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)))). 3.26/3.47 cnf(i_0_4963, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk359_3(X1,X2,X3)),esk358_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)))). 3.26/3.47 cnf(i_0_4872, plain, (hAPP(hAPP(c_List_Olist__update(X1,X2),esk353_4(X3,X4,X2,X1)),esk352_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))))). 3.26/3.47 cnf(i_0_3252, 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))))|hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)!=c_Groups_Oone__class_Oone(X1)|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_2118, 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))). 3.26/3.47 cnf(i_0_6817, 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,esk480_3(X2,X3,X1))))). 3.26/3.47 cnf(i_0_4845, 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,esk351_3(X2,X3,X1))))). 3.26/3.47 cnf(i_0_3907, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk281_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,esk280_4(X2,X3,X4,X1))))). 3.26/3.47 cnf(i_0_3908, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk280_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,esk281_4(X2,X3,X4,X1))))). 3.26/3.47 cnf(i_0_3401, 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)))). 3.26/3.47 cnf(i_0_4034, 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))). 3.26/3.47 cnf(i_0_3090, 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),esk231_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)))). 3.26/3.47 cnf(i_0_5445, 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),esk395_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)))). 3.26/3.47 cnf(i_0_5150, 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)))). 3.26/3.47 cnf(i_0_978, 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)),esk74_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2))))). 3.26/3.47 cnf(i_0_2431, 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)))))). 3.26/3.47 cnf(i_0_319, 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)))). 3.26/3.47 cnf(i_0_4468, 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)))). 3.26/3.47 cnf(i_0_7422, 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)),esk521_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2))))). 3.26/3.47 cnf(i_0_104, plain, (hAPP(hAPP(c_List_Olist__update(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)),X4),X5)=hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Olist__update(X1,X2),X4),X5)),X3)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2))))). 3.26/3.47 cnf(i_0_1146, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk85_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)))). 3.26/3.47 cnf(i_0_6753, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk471_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))))). 3.26/3.47 cnf(i_0_718, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,esk54_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)))). 3.26/3.47 cnf(i_0_7316, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=c_List_OtakeWhile(X1,X4,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk515_4(X4,X3,X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)))|hBOOL(hAPP(X4,hAPP(hAPP(c_List_Onth(X1),X3),X2))))). 3.26/3.47 cnf(i_0_212, 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)))). 3.26/3.47 cnf(i_0_6937, 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)))). 3.26/3.47 cnf(i_0_1172, 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))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X3)))). 3.26/3.47 cnf(i_0_5756, 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)))). 3.26/3.47 cnf(i_0_4357, 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)))). 3.26/3.47 cnf(i_0_3653, 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)))). 3.26/3.47 cnf(i_0_5724, 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))))). 3.26/3.47 cnf(i_0_1553, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_1557, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_2619, 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))). 3.26/3.47 cnf(i_0_2829, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk209_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),esk207_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk208_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,esk207_2(X1,X2)))|~hBOOL(hAPP(X1,X3)))). 3.26/3.47 cnf(i_0_4945, 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)))). 3.26/3.47 cnf(i_0_616, 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))|~c_Finite__Set_Ofolding__image__simple__idem(X6,X2,X5,X7,X8,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.47 cnf(i_0_7552, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=hAPP(hAPP(c_List_Otake(X1),X2),X4)|hAPP(hAPP(c_List_Onth(X1),X3),esk541_4(X3,X4,X1,X2))!=hAPP(hAPP(c_List_Onth(X1),X4),esk541_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))))). 3.26/3.47 cnf(i_0_3658, 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)))). 3.26/3.47 cnf(i_0_6984, 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)))). 3.26/3.47 cnf(i_0_6693, 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)))). 3.26/3.47 cnf(i_0_2755, 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)),esk202_3(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)))). 3.26/3.47 cnf(i_0_53, 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))). 3.26/3.47 cnf(i_0_6601, 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))). 3.26/3.47 cnf(i_0_2495, 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)),esk175_5(X2,X4,X3,X3,X1)))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.47 cnf(i_0_6651, 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))). 3.26/3.47 cnf(i_0_5160, 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),esk372_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))))). 3.26/3.47 cnf(i_0_6961, 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)))). 3.26/3.47 cnf(i_0_3682, 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))))). 3.26/3.47 cnf(i_0_6448, 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))). 3.26/3.47 cnf(i_0_5997, 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))). 3.26/3.47 cnf(i_0_2388, 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)),esk168_5(X2,X4,X3,X3,X1)))|~c_Nat__Transfer_Onat__set(X3)|~class_Groups_Ocomm__monoid__mult(X1)|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.47 cnf(i_0_7512, 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)))). 3.26/3.47 cnf(i_0_32, 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))))). 3.26/3.47 cnf(i_0_6046, 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|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(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)))). 3.26/3.47 cnf(i_0_922, 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))))). 3.26/3.47 cnf(i_0_2984, 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)))))). 3.26/3.47 cnf(i_0_5494, 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)|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)))). 3.26/3.47 cnf(i_0_4243, 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)))). 3.26/3.47 cnf(i_0_6889, 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))). 3.26/3.47 cnf(i_0_5144, 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)))). 3.26/3.47 cnf(i_0_1578, 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)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 3.26/3.47 cnf(i_0_6162, 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)))). 3.26/3.47 cnf(i_0_3652, 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)))). 3.26/3.47 cnf(i_0_4556, 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))). 3.26/3.47 cnf(i_0_4079, 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))). 3.26/3.47 cnf(i_0_7553, 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),esk541_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))))). 3.26/3.47 cnf(i_0_3174, 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))). 3.26/3.47 cnf(i_0_5613, 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)))). 3.26/3.47 cnf(i_0_2041, 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)))). 3.26/3.47 cnf(i_0_357, 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)))). 3.26/3.47 cnf(i_0_3921, 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)))). 3.26/3.47 cnf(i_0_4873, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk353_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))))). 3.26/3.47 cnf(i_0_1582, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 3.26/3.47 cnf(i_0_5686, 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)))). 3.26/3.47 cnf(i_0_1978, 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))=X4|X3=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)))). 3.26/3.47 cnf(i_0_4314, 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)|c_List_Olist_ONil(X1)=X2|~hBOOL(hAPP(c_List_Odistinct(X1),X2)))). 3.26/3.47 cnf(i_0_4515, 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)))). 3.26/3.47 cnf(i_0_3649, 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))). 3.26/3.47 cnf(i_0_3744, 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_Set_Oinsert(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4))|~hBOOL(hAPP(hAPP(c_member(X1),X3),X2)))). 3.26/3.47 cnf(i_0_4037, 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,esk297_8(X3,X7,hAPP(c_Set_Oimage(X4,X1,X5),X6),X6,X5,X1,X4,X2))!=hAPP(X3,hAPP(X5,esk297_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))). 3.26/3.47 cnf(i_0_6571, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4),hAPP(c_Set_Oimage(X1,X3,X5),X6))|~c_Fun_Oinj__on(X1,X3,X5,X6)|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_3624, 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),esk262_4(X3,X4,X2,X1)),X4))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_626, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk46_4(X2,X3,X4,X1)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk45_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)))). 3.26/3.47 cnf(i_0_622, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk46_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk45_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)))). 3.26/3.47 cnf(i_0_2192, 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)))). 3.26/3.47 cnf(i_0_2368, 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)))). 3.26/3.47 cnf(i_0_1117, 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|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(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)))). 3.26/3.47 cnf(i_0_45, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)|hBOOL(hAPP(X2,X3)))). 3.26/3.47 cnf(i_0_6778, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk473_4(X3,X4,X1,X2)),esk474_4(X3,X4,X1,X2))),X3))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X1)),X4),hAPP(c_Relation_Oconverse(X1,X2),X3))))). 3.26/3.47 cnf(i_0_2827, plain, (hBOOL(hAPP(X1,esk210_2(X1,X2)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk207_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk208_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,esk207_2(X1,X2)))|~hBOOL(hAPP(X1,X3)))). 3.26/3.47 cnf(i_0_2727, 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,esk194_5(X4,X3,X1,X5,X2))),hAPP(X3,esk195_5(X4,X3,X1,X5,X2)))!=hAPP(X3,hAPP(hAPP(X5,esk194_5(X4,X3,X1,X5,X2)),esk195_5(X4,X3,X1,X5,X2)))|~c_Finite__Set_Ofolding__one__idem(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_1404, 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))))). 3.26/3.47 cnf(i_0_6619, 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)))). 3.26/3.47 cnf(i_0_355, 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)))). 3.26/3.47 cnf(i_0_1147, 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)))). 3.26/3.47 cnf(i_0_3064, 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)))). 3.26/3.47 cnf(i_0_382, 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))). 3.26/3.47 cnf(i_0_7347, 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,esk517_3(X2,X3,X1)))),c_Predicate_ORangeP(X1,X1,hAPP(X3,esk518_3(X2,X3,X1))))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~c_Wellfounded_OwfP(X1,hAPP(X3,esk516_3(X2,X3,X1))))). 3.26/3.47 cnf(i_0_1560, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk112_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_4532, 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)))). 3.26/3.47 cnf(i_0_4295, 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)))). 3.26/3.47 cnf(i_0_4979, 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)))). 3.26/3.47 cnf(i_0_4819, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk348_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)))). 3.26/3.47 cnf(i_0_5164, 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))). 3.26/3.47 cnf(i_0_1546, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,esk110_3(X1,X2,X3)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_2318, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),esk167_5(X3,X2,X4,X5,X1))=X5|hAPP(hAPP(c_List_Oappend(X1),X5),esk166_5(X3,X2,X4,X5,X1))=X2|hAPP(hAPP(c_List_Oappend(X1),X2),X3)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 3.26/3.47 cnf(i_0_5545, plain, (hAPP(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)). 3.26/3.47 cnf(i_0_4965, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=X1|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk358_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)))). 3.26/3.47 cnf(i_0_577, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_555, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_4204, 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))))). 3.26/3.47 cnf(i_0_822, 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))). 3.26/3.47 cnf(i_0_2316, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),esk167_5(X3,X2,X4,X5,X1))=X5|hAPP(hAPP(c_List_Oappend(X1),esk166_5(X3,X2,X4,X5,X1)),X3)=X4|hAPP(hAPP(c_List_Oappend(X1),X2),X3)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 3.26/3.47 cnf(i_0_2319, plain, (hAPP(hAPP(c_List_Oappend(X1),X2),esk166_5(X3,X4,X5,X2,X1))=X4|hAPP(hAPP(c_List_Oappend(X1),esk167_5(X3,X4,X5,X2,X1)),X5)=X3|hAPP(hAPP(c_List_Oappend(X1),X4),X3)!=hAPP(hAPP(c_List_Oappend(X1),X2),X5))). 3.26/3.47 cnf(i_0_2317, plain, (hAPP(hAPP(c_List_Oappend(X1),esk167_5(X2,X3,X4,X5,X1)),X4)=X2|hAPP(hAPP(c_List_Oappend(X1),esk166_5(X2,X3,X4,X5,X1)),X2)=X4|hAPP(hAPP(c_List_Oappend(X1),X3),X2)!=hAPP(hAPP(c_List_Oappend(X1),X5),X4))). 3.26/3.47 cnf(i_0_7115, plain, (hAPP(hAPP(X1,esk505_7(X2,X3,X4,X5,X1,X6,X7)),esk506_7(X2,X3,X4,X5,X1,X6,X7))=hAPP(hAPP(X1,X3),X2)|X4=c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))|~c_Nitpick_Ofold__graph_H(X7,X6,X1,X5,X4,hAPP(hAPP(X1,X3),X2)))). 3.26/3.47 cnf(i_0_843, 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))). 3.26/3.47 cnf(i_0_5148, 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),X3),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X3)))). 3.26/3.47 cnf(i_0_5058, 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)),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__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_3005, plain, (hAPP(c_Fun_Ocomp(X1,X1,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__idem(X5,X1,X6,X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)))). 3.26/3.47 cnf(i_0_7010, 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))). 3.26/3.47 cnf(i_0_5751, plain, (hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X3,esk421_6(X4,X3,X5,X6,X2,X1)),esk422_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))))). 3.26/3.47 cnf(i_0_6261, plain, (c_List_Olist__ex1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|~c_List_Olist__all(X1,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),hAPP(c_fequal,X3))),X4)|~hBOOL(hAPP(X2,X3)))). 3.26/3.47 cnf(i_0_6260, plain, (c_List_Olist__ex1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|~c_List_Olist__ex1(X1,X2,X4)|~c_List_Olist__all(X1,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),hAPP(c_fequal,X3))),X4))). 3.26/3.47 cnf(i_0_6445, 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))))))). 3.26/3.47 cnf(i_0_1012, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),hAPP(hAPP(c_COMBS(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),c_Orderings_Oord__class_Oless__eq(X2)),X3)),X4)))|~class_Orderings_Oorder(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2)),X3),X4)))). 3.26/3.47 cnf(i_0_5642, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))|~hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X2)),X3)))). 3.26/3.47 cnf(i_0_5641, plain, (hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))|~hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)),X3)))). 3.26/3.47 cnf(i_0_6724, 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))). 3.26/3.47 cnf(i_0_6265, 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)))). 3.26/3.47 cnf(i_0_7116, plain, (hAPP(hAPP(X1,esk505_7(X2,X3,X4,X5,X1,X6,X7)),esk506_7(X2,X3,X4,X5,X1,X6,X7))=hAPP(hAPP(X1,X3),X2)|hAPP(hAPP(X1,X3),X2)=X5|~c_Nitpick_Ofold__graph_H(X7,X6,X1,X5,X4,hAPP(hAPP(X1,X3),X2)))). 3.26/3.47 cnf(i_0_5661, 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)))). 3.26/3.47 cnf(i_0_578, plain, (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)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_1615, 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)))). 3.26/3.47 cnf(i_0_5542, plain, (hAPP(c_List_Ofilter(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_fequal,X3))),X4)=hAPP(c_List_Ofilter(X1,X2),X4)|hBOOL(hAPP(X2,X3)))). 3.26/3.47 cnf(i_0_7068, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)))=hAPP(hAPP(c_List_Olist_OCons(X1),X4),hAPP(c_List_Ofilter(X1,X2),X5))|hBOOL(hAPP(X2,esk500_7(hAPP(c_List_Ofilter(X1,X2),X5),X4,hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)),X2,X1,X3,X5)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.47 cnf(i_0_3967, plain, (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)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Oone__class_Oone(X1))|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_839, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk65_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)))). 3.26/3.47 cnf(i_0_6480, 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))). 3.26/3.47 cnf(i_0_3125, 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))). 3.26/3.47 cnf(i_0_556, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_2371, 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))))). 3.26/3.47 cnf(i_0_1919, 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))). 3.26/3.47 cnf(i_0_204, 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)))). 3.26/3.47 cnf(i_0_3661, 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)))). 3.26/3.47 cnf(i_0_4473, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)))=hAPP(hAPP(c_List_Olist_OCons(X1),X4),hAPP(c_List_Ofilter(X1,X2),X5))|hBOOL(hAPP(X2,esk326_7(hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)),X2,hAPP(c_List_Ofilter(X1,X2),X5),X4,X1,X3,X5)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.47 cnf(i_0_7317, plain, (hAPP(hAPP(c_List_Otake(X1),X2),X3)=c_List_OtakeWhile(X1,X4,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk515_4(X4,X3,X1,X2)),hAPP(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(X1)),X3))))). 3.26/3.47 cnf(i_0_624, plain, (hAPP(X1,esk46_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),esk45_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)))). 3.26/3.47 cnf(i_0_621, plain, (hAPP(X1,esk46_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk45_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)))). 3.26/3.47 cnf(i_0_6403, 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)))). 3.26/3.47 cnf(i_0_1152, 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)))|esk87_5(X5,X4,X3,X2,X1)!=esk86_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)))))). 3.26/3.47 cnf(i_0_4117, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,X4),esk303_4(X5,X4,X3,X2)),X2),esk304_4(X5,X4,X3,X2))))). 3.26/3.47 cnf(i_0_97, plain, (hAPP(X1,X2)=hAPP(X1,X3)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X1,X3)),hAPP(X1,X2)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),X3),X2)),c_List_Omeasures(X4,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X4,tc_Nat_Onat)),X1),X5)))))). 3.26/3.47 cnf(i_0_5807, 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)))). 3.26/3.47 cnf(i_0_1621, 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))). 3.26/3.47 cnf(i_0_2386, 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))). 3.26/3.47 cnf(i_0_4578, 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),esk333_5(X5,X4,X3,X2,X1)),X4)))). 3.26/3.47 cnf(i_0_3972, 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)))|esk292_5(X5,X4,X3,X2,X1)!=esk291_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)))))). 3.26/3.47 cnf(i_0_1337, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(c_Fun_Ocomp(X5,X5,X5,hAPP(X1,X4)),hAPP(X6,X3))|hBOOL(hAPP(hAPP(c_member(X2),X3),X4))|~c_Finite__Set_Ofolding(X2,X5,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_5671, 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)))). 3.26/3.47 cnf(i_0_6325, plain, (c_List_Olinorder__class_Osorted__list__of__set(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_List_Oremove1(X1,X3,c_List_Olinorder__class_Osorted__list__of__set(X1,X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_476, 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),esk31_5(X5,X4,X3,X2,X1)),X3)))). 3.26/3.47 cnf(i_0_5115, 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))). 3.26/3.47 cnf(i_0_2760, 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))). 3.26/3.47 cnf(i_0_5309, 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)))). 3.26/3.47 cnf(i_0_4262, 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)))). 3.26/3.47 cnf(i_0_2165, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk157_4(X2,X3,X4,X1)),X4))|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)))). 3.26/3.47 cnf(i_0_2166, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk156_4(X2,X3,X4,X1)),X3))|hBOOL(hAPP(X2,esk157_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)))). 3.26/3.47 cnf(i_0_5662, 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)))). 3.26/3.47 cnf(i_0_3119, 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)))). 3.26/3.47 cnf(i_0_2094, 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)))). 3.26/3.47 cnf(i_0_1116, 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|X1=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__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)))). 3.26/3.47 cnf(i_0_6104, 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))))). 3.26/3.47 cnf(i_0_61, 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_Olexord(X3,X4))))). 3.26/3.47 cnf(i_0_2137, 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))))). 3.26/3.47 cnf(i_0_607, 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))))). 3.26/3.47 cnf(i_0_70, 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)))). 3.26/3.47 cnf(i_0_543, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk40_3(X1,X2,X3)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_561, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk42_3(X1,X2,X3)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_5896, 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_Lattices_Osemilattice__inf__class_Oinf(X2)),X1)))|hBOOL(hAPP(hAPP(c_member(X2),esk429_3(X3,X1,X2)),X1))|~class_Lattices_Osemilattice__inf(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_56, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk6_3(X2,X3,X1)),esk6_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))))). 3.26/3.47 cnf(i_0_1585, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_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,esk112_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_3678, 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),esk266_3(X3,X2,X1)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5532, 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_Orderings_Oord__class_Omin(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(X1),esk404_3(X3,X2,X1)),X2))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5171, 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),esk374_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)))). 3.26/3.47 cnf(i_0_2391, 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),esk170_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)))). 3.26/3.47 cnf(i_0_436, 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),esk30_8(X6,X3,hAPP(c_Set_Oimage(X1,X5,X7),X4),X4,X7,X5,X1,X2)),X4))|~c_Fun_Oinj__on(X1,X5,X7,X4)|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_1571, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_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,esk110_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_6388, 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),esk450_4(X3,X2,X4,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 3.26/3.47 cnf(i_0_2492, 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),esk174_4(X3,X2,X4,X1)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 3.26/3.47 cnf(i_0_6970, 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))). 3.26/3.47 cnf(i_0_4269, 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))))). 3.26/3.47 cnf(i_0_3986, 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)))). 3.26/3.47 cnf(i_0_5210, 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))))). 3.26/3.47 cnf(i_0_5187, plain, (hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),X1)=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)))|~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)))). 3.26/3.47 cnf(i_0_4038, 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),esk297_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))). 3.26/3.47 cnf(i_0_4143, 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))). 3.26/3.47 cnf(i_0_1660, 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),esk117_4(X2,X4,X3,X1)),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_1136, 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),esk82_4(X2,X4,X3,X1)),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_5344, 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)))). 3.26/3.47 cnf(i_0_1856, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),esk139_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))). 3.26/3.47 cnf(i_0_6861, 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))))). 3.26/3.47 cnf(i_0_3058, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk228_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)))). 3.26/3.47 cnf(i_0_1782, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk129_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)))). 3.26/3.47 cnf(i_0_6689, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk469_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)))). 3.26/3.47 cnf(i_0_4413, 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)))). 3.26/3.47 cnf(i_0_1591, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_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))))). 3.26/3.47 cnf(i_0_5944, 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))). 3.26/3.47 cnf(i_0_1306, 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))). 3.26/3.47 cnf(i_0_3460, 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)))). 3.26/3.47 cnf(i_0_1589, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_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))))). 3.26/3.47 cnf(i_0_2767, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk203_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)))). 3.26/3.47 cnf(i_0_958, 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))|hAPP(c_Map_Omap__of(X1,X2),X3)!=hAPP(c_Map_Omap__of(X1,X2),X4))). 3.26/3.47 cnf(i_0_2854, 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)))). 3.26/3.47 cnf(i_0_692, 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)))). 3.26/3.47 cnf(i_0_3117, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),hAPP(hAPP(X3,X4),X5)),X6)=hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X5),hAPP(hAPP(c_Set_Oinsert(X1),X4),X6))|~c_Finite__Set_Ofun__left__comm__idem(X1,X2,X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_1521, 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)))). 3.26/3.47 cnf(i_0_3955, 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)),esk289_3(X3,X2,X1))),X2)),X3)))). 3.26/3.47 cnf(i_0_1140, 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)). 3.26/3.47 cnf(i_0_3171, 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))))). 3.26/3.47 cnf(i_0_1953, 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)))). 3.26/3.47 cnf(i_0_5773, 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))|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_Lattices_Oab__semigroup__idem__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5582, 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)))). 3.26/3.47 cnf(i_0_4000, 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)))). 3.26/3.47 cnf(i_0_3627, 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))))). 3.26/3.47 cnf(i_0_5511, 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))). 3.26/3.47 cnf(i_0_3036, 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))). 3.26/3.47 cnf(i_0_6736, 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)))). 3.26/3.47 cnf(i_0_136, 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))))). 3.26/3.47 cnf(i_0_3947, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|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)))))). 3.26/3.47 cnf(i_0_510, 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))))))). 3.26/3.47 cnf(i_0_3757, plain, (c_List_OtakeWhile(X1,X2,X3)=hAPP(c_List_Ofilter(X1,X2),X3)|hBOOL(hAPP(hAPP(c_member(X1),esk270_3(X3,X2,X1)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)))))). 3.26/3.47 cnf(i_0_3719, plain, (hAPP(c_List_Oset(tc_prod(X1,X2)),X3)=hAPP(c_List_Oset(tc_prod(X1,X2)),X4)|hAPP(c_Map_Omap__of(X1,X2),X3)!=hAPP(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))))). 3.26/3.47 cnf(i_0_7114, 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)))). 3.26/3.47 cnf(i_0_682, 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,esk53_4(X4,X2,X3,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_1614, 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)))). 3.26/3.47 cnf(i_0_2468, 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)))). 3.26/3.47 cnf(i_0_5161, 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)))). 3.26/3.47 cnf(i_0_1566, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_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)))). 3.26/3.47 cnf(i_0_3989, 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)))). 3.26/3.47 cnf(i_0_5230, 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),esk380_4(X3,X4,X2,X1)))=X4|c_Map_Odom(X1,X2,X4)!=hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 3.26/3.47 cnf(i_0_956, 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))). 3.26/3.47 cnf(i_0_1564, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_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)))). 3.26/3.47 cnf(i_0_6109, 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))). 3.26/3.47 cnf(i_0_2753, 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)))). 3.26/3.47 cnf(i_0_1917, 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))))). 3.26/3.47 cnf(i_0_4216, 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))). 3.26/3.47 cnf(i_0_4528, plain, (hAPP(c_Option_Ooption_OSome(X1),esk329_5(X2,X3,X1,X4,X5))=hAPP(hAPP(c_Map_Omap__of(X5,X1),hAPP(hAPP(c_List_Ozip(X5,X1),X4),X3)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X5)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|~hBOOL(hAPP(hAPP(c_member(X5),X2),hAPP(c_List_Oset(X5),X4))))). 3.26/3.47 cnf(i_0_5216, 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))). 3.26/3.47 cnf(i_0_544, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk40_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_562, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,esk42_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_4921, 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))))). 3.26/3.47 cnf(i_0_1294, 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,hAPP(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))))))). 3.26/3.47 cnf(i_0_5568, 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))). 3.26/3.47 cnf(i_0_243, plain, (hAPP(X1,esk15_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,esk14_3(X2,X1,X3)))),hAPP(X1,esk14_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))))). 3.26/3.47 cnf(i_0_4365, plain, (hAPP(X1,esk318_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,esk317_3(X2,X1,X3)))),hAPP(X1,esk317_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))))). 3.26/3.47 cnf(i_0_5624, 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)))). 3.26/3.47 cnf(i_0_1437, 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)))). 3.26/3.47 cnf(i_0_5089, 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))))). 3.26/3.47 cnf(i_0_7093, 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))))). 3.26/3.47 cnf(i_0_1149, 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))))). 3.26/3.47 cnf(i_0_1756, 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))). 3.26/3.47 cnf(i_0_3546, 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)))). 3.26/3.47 cnf(i_0_1780, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk130_4(X1,X2,X3,X4)),esk129_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)))). 3.26/3.47 cnf(i_0_3056, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk229_4(X1,X2,X3,X4)),esk228_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)))). 3.26/3.47 cnf(i_0_2765, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk204_4(X1,X2,X3,X4)),esk203_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)))). 3.26/3.47 cnf(i_0_2239, 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))). 3.26/3.47 cnf(i_0_7278, 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))))). 3.26/3.47 cnf(i_0_95, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X4,X2)),hAPP(X4,X3))))). 3.26/3.47 cnf(i_0_508, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),c_List_OtakeWhile(X2,X3,X4))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk32_4(X4,X2,X3,X1)),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4))))). 3.26/3.47 cnf(i_0_1861, 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)|c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X5)). 3.26/3.47 cnf(i_0_6687, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk470_4(X1,X2,X3,X4)),esk469_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)))). 3.26/3.47 cnf(i_0_1424, 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),esk101_6(X6,X5,X4,X3,X2,X1)),X1)))). 3.26/3.47 cnf(i_0_5637, 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)))). 3.26/3.47 cnf(i_0_4291, 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))). 3.26/3.47 cnf(i_0_2825, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk207_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk208_2(X1,X2)))))|hBOOL(hAPP(X1,esk209_2(X1,X2)))|hBOOL(hAPP(X1,esk207_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)))). 3.26/3.47 cnf(i_0_6991, 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)))). 3.26/3.47 cnf(i_0_4944, 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)))). 3.26/3.47 cnf(i_0_1070, 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_Rings_Oring(X1)|~class_Int_Onumber(X1))). 3.26/3.47 cnf(i_0_1173, 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)))). 3.26/3.47 cnf(i_0_6270, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk447_6(X3,X4,X5,X2,X1,X6)),esk448_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))))). 3.26/3.47 cnf(i_0_914, 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)),esk73_4(X4,X3,X2,X1))))). 3.26/3.47 cnf(i_0_4876, 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))))). 3.26/3.47 cnf(i_0_2236, 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)))). 3.26/3.47 cnf(i_0_5918, 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)))). 3.26/3.47 cnf(i_0_5516, 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))). 3.26/3.47 cnf(i_0_4433, 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))))). 3.26/3.47 cnf(i_0_4839, 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)))). 3.26/3.47 cnf(i_0_603, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X1,X1),tc_HOL_Obool),esk44_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)))))). 3.26/3.47 cnf(i_0_250, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk16_5(X2,X3,X4,X5,X1)),esk17_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))))). 3.26/3.47 cnf(i_0_5710, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),esk417_5(X2,X3,X4,X5,X1)),esk418_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))))). 3.26/3.47 cnf(i_0_2750, plain, (c_Wellfounded_Oacyclic(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk200_2(X2,X1)),esk200_2(X2,X1))),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 3.26/3.47 cnf(i_0_3279, 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))))). 3.26/3.47 cnf(i_0_5941, plain, (c_Wellfounded_Oacyclic(X1,X2)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk432_2(X2,X1)),esk432_2(X2,X1))),hAPP(hAPP(c_Relation_Orel__comp(X1,X1,X1),X2),c_Transitive__Closure_Ortrancl(X1,X2)))))). 3.26/3.47 cnf(i_0_2086, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(X2),c_Big__Operators_Olattice__class_OInf__fin(X2,X1)),X1))|~class_Lattices_Olattice(X2)|~hBOOL(hAPP(hAPP(c_member(X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),esk150_2(X1,X2)),esk151_2(X1,X2))),hAPP(hAPP(c_Set_Oinsert(X2),esk150_2(X1,X2)),hAPP(hAPP(c_Set_Oinsert(X2),esk151_2(X1,X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_2932, 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),esk216_2(X2,X1)),esk217_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk216_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk217_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5725, 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))))). 3.26/3.47 cnf(i_0_570, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|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(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_107, 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))))). 3.26/3.47 cnf(i_0_6050, 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))))). 3.26/3.47 cnf(i_0_6307, 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)))). 3.26/3.47 cnf(i_0_584, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=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(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_2731, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk196_4(X2,X3,X4,X1)),esk197_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))))). 3.26/3.47 cnf(i_0_1378, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),X4),X2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),X5),X2)))|~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,esk96_5(X5,X4,X2,X1,X3))),hAPP(X5,esk96_5(X5,X4,X2,X1,X3))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_523, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk36_5(X2,X3,X4,X5,X1)),hAPP(X3,esk35_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))))). 3.26/3.47 cnf(i_0_6121, 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)))). 3.26/3.47 cnf(i_0_6949, 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))))). 3.26/3.47 cnf(i_0_759, 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))|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)))). 3.26/3.47 cnf(i_0_605, 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)))). 3.26/3.47 cnf(i_0_4105, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)=hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)|hBOOL(hAPP(X2,X4))|hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))!=X3)). 3.26/3.47 cnf(i_0_1181, 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)))). 3.26/3.47 cnf(i_0_693, 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)))). 3.26/3.47 cnf(i_0_5156, 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|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)))). 3.26/3.47 cnf(i_0_7450, 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)))). 3.26/3.47 cnf(i_0_2794, 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))))). 3.26/3.47 cnf(i_0_5583, 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))))). 3.26/3.47 cnf(i_0_3853, 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))). 3.26/3.47 cnf(i_0_6818, 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),esk480_3(X2,X3,X1)),X3)))). 3.26/3.47 cnf(i_0_2224, 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)))). 3.26/3.47 cnf(i_0_2016, 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)))). 3.26/3.47 cnf(i_0_6423, 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))|c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))=X3|c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))=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__one(X2,X5,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.47 cnf(i_0_4846, 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),esk351_3(X2,X3,X1)),X3)))). 3.26/3.47 cnf(i_0_2730, plain, (hAPP(hAPP(c_List_Oappend(X1),esk198_4(X2,X3,X4,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk196_4(X2,X3,X4,X1)),esk199_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))))). 3.26/3.47 cnf(i_0_2729, plain, (hAPP(hAPP(c_List_Oappend(X1),esk198_4(X2,X3,X4,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk197_4(X2,X3,X4,X1)),esk199_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))))). 3.26/3.47 cnf(i_0_468, 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))). 3.26/3.47 cnf(i_0_3828, 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)))). 3.26/3.47 cnf(i_0_1372, 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)))). 3.26/3.47 cnf(i_0_569, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_583, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_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,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_2432, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_6807, 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))|~class_Orderings_Olinorder(X4)|~c_Fun_Oinj__on(X3,X4,X5,hAPP(c_List_Oset(X3),hAPP(hAPP(c_List_Oappend(X3),X1),X2)))|~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))))). 3.26/3.47 cnf(i_0_1191, 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)))). 3.26/3.47 cnf(i_0_203, 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)))). 3.26/3.47 cnf(i_0_5159, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk372_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),esk371_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))))). 3.26/3.47 cnf(i_0_2756, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk202_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),esk201_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)))). 3.26/3.47 cnf(i_0_3177, 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))))). 3.26/3.47 cnf(i_0_3014, plain, (esk227_3(X1,X2,X3)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(X1,esk227_3(X1,X2,X3)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,esk226_3(X1,X2,X3),esk227_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))))). 3.26/3.47 cnf(i_0_2654, 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)))))))). 3.26/3.47 cnf(i_0_5326, plain, (c_Map_Oran(X1,X2,hAPP(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))))). 3.26/3.47 cnf(i_0_7478, 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)),esk529_3(X3,X2,X1)),esk530_3(X3,X2,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(c_Finite__Set_Ocard(X1),esk528_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))))). 3.26/3.47 cnf(i_0_3197, 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))))). 3.26/3.47 cnf(i_0_5145, 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)))). 3.26/3.47 cnf(i_0_7003, 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)))). 3.26/3.47 cnf(i_0_5882, 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)))). 3.26/3.47 cnf(i_0_108, 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)))). 3.26/3.47 cnf(i_0_6225, plain, (c_Map_Omap__upds(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5),hAPP(hAPP(c_List_Olist_OCons(X2),X6),X7))=c_Map_Omap__upds(X1,X2,X3,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)))))). 3.26/3.47 cnf(i_0_2655, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk187_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)))))). 3.26/3.47 cnf(i_0_4036, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(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),c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_5960, plain, (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)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Int_Onumber__class_Onumber__of(X1),X2)),c_Groups_Oone__class_Oone(X1))|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_7290, 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))). 3.26/3.47 cnf(i_0_7494, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk531_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)))))). 3.26/3.47 cnf(i_0_276, 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))). 3.26/3.47 cnf(i_0_6917, 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)))). 3.26/3.47 cnf(i_0_3015, 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),esk226_3(X1,X2,X3)),esk227_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))))). 3.26/3.47 cnf(i_0_1788, 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),esk131_3(X1,X2,X3)),esk132_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))))). 3.26/3.47 cnf(i_0_4294, 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),esk309_3(X1,X2,X3)),esk310_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))))). 3.26/3.47 cnf(i_0_3571, plain, (hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),esk258_3(X1,X2,X3)),esk259_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 3.26/3.47 cnf(i_0_4994, 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))). 3.26/3.47 cnf(i_0_7033, 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),esk495_3(X1,X2,X3)),esk496_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))))). 3.26/3.47 cnf(i_0_7447, 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),esk523_3(X1,X2,X3)),esk524_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))))). 3.26/3.47 cnf(i_0_5935, 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)))). 3.26/3.47 cnf(i_0_1638, 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),esk115_2(X2,X1)),esk116_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk115_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk116_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_2576, 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_Rings_Oring(X1)|~class_Int_Onumber(X1))). 3.26/3.47 cnf(i_0_5288, 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),esk384_2(X2,X1)),esk385_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk384_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk385_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_7528, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk536_6(X3,X4,X2,X5,X6,X1)),esk537_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))))). 3.26/3.47 cnf(i_0_7527, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk537_6(X3,X4,X1,X5,X2,X6)),esk538_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))))). 3.26/3.47 cnf(i_0_2167, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk157_4(X2,X3,X4,X1)),X4))|hBOOL(hAPP(hAPP(c_member(X1),esk156_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)))). 3.26/3.47 cnf(i_0_4273, 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)))). 3.26/3.47 cnf(i_0_3581, plain, (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|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)!=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)))). 3.26/3.47 cnf(i_0_358, 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_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),X1),X6)),hAPP(hAPP(c_Product__Type_OPair(X3,X5),X2),X7))),c_Wellfounded_Olex__prod(X3,X5,X4,X8))))). 3.26/3.47 cnf(i_0_2725, 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)))). 3.26/3.47 cnf(i_0_7505, 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)))). 3.26/3.47 cnf(i_0_1576, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_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),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 3.26/3.47 cnf(i_0_5355, 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(X6,esk390_7(X4,X3,X1,X6,X7,X5,X2))!=X7|~c_Finite__Set_Ofolding__image__simple(X8,X2,X5,X7,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_1587, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_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),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 3.26/3.47 cnf(i_0_4251, 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))))). 3.26/3.47 cnf(i_0_1551, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk110_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_4359, 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))). 3.26/3.47 cnf(i_0_1391, 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))))). 3.26/3.47 cnf(i_0_1562, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk112_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_5433, 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)))). 3.26/3.47 cnf(i_0_5470, 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))). 3.26/3.47 cnf(i_0_5902, plain, (X1=X2|hAPP(c_Fun_Ocomp(tc_Option_Ooption(X3),X3,X4,c_Option_Othe(X3)),hAPP(c_Map_Omap__of(X4,X3),hAPP(hAPP(c_List_Ozip(X4,X3),c_Enum_Oenum__class_Oenum(X4)),X1)))!=hAPP(c_Fun_Ocomp(tc_Option_Ooption(X3),X3,X4,c_Option_Othe(X3)),hAPP(c_Map_Omap__of(X4,X3),hAPP(hAPP(c_List_Ozip(X4,X3),c_Enum_Oenum__class_Oenum(X4)),X2)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),c_Enum_Oenum__class_Oenum(X4))!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X2)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X4)),c_Enum_Oenum__class_Oenum(X4))!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X1)|~class_Enum_Oenum(X4)|~class_Enum_Oenum(X3))). 3.26/3.47 cnf(i_0_6568, 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))))). 3.26/3.47 cnf(i_0_625, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk46_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),esk45_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)))). 3.26/3.47 cnf(i_0_623, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk45_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),esk46_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)))). 3.26/3.47 cnf(i_0_2299, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk163_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_member(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X4)))). 3.26/3.47 cnf(i_0_6, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk1_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_member(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X2)))). 3.26/3.47 cnf(i_0_516, 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)))). 3.26/3.47 cnf(i_0_4372, 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)))). 3.26/3.47 cnf(i_0_5067, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_List_Ozip(X2,X3),X4),X5)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_List_Otake(tc_prod(X2,X3)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X5))),hAPP(hAPP(c_List_Ozip(X2,X3),X4),X5)))))). 3.26/3.47 cnf(i_0_440, plain, (hAPP(c_Option_Ooption_OSome(X1),X2)=hAPP(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(hAPP(c_Map_Omap__of(X3,X1),X5),X6)!=hAPP(c_Option_Ooption_OSome(X1),X2)|~hBOOL(hAPP(hAPP(X4,X6),X2)))). 3.26/3.47 cnf(i_0_1758, 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))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(X2,esk127_3(X3,X2,X1))),hAPP(X2,esk128_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),esk127_3(X3,X2,X1)),esk128_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_568, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_4464, 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)))). 3.26/3.47 cnf(i_0_1074, 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)))). 3.26/3.47 cnf(i_0_2104, 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))))). 3.26/3.47 cnf(i_0_1218, 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)))). 3.26/3.47 cnf(i_0_1588, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_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)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))))). 3.26/3.47 cnf(i_0_2008, 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,esk144_3(X3,X2,X1))),hAPP(X2,esk145_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),esk144_3(X3,X2,X1)),esk145_3(X3,X2,X1)))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_242, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk15_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,esk14_3(X1,X2,X3)))),hAPP(X2,esk14_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))))). 3.26/3.47 cnf(i_0_4364, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk318_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,esk317_3(X1,X2,X3)))),hAPP(X2,esk317_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))))). 3.26/3.47 cnf(i_0_554, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_5599, 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)))). 3.26/3.47 cnf(i_0_1581, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_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),esk110_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))))). 3.26/3.47 cnf(i_0_2297, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk164_4(X1,X2,X3,X4)),esk163_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_member(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X2),X4)))). 3.26/3.47 cnf(i_0_4, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk2_4(X1,X2,X3,X4)),esk1_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_member(tc_Int_Oint),X2),X1))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X4),X2)))). 3.26/3.47 cnf(i_0_3852, 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))). 3.26/3.47 cnf(i_0_6896, 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),esk487_8(X3,X6,X5,X5,X4,X4,X1,X2)))|~class_Orderings_Oord(X1)|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_898, 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)))). 3.26/3.47 cnf(i_0_3338, 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),esk239_5(X5,X3,X4,X2,X1)),X4))|~class_Groups_Oordered__ab__semigroup__add(X1)|~class_Rings_Osemiring__1(X1))). 3.26/3.47 cnf(i_0_7069, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)))=hAPP(hAPP(c_List_Olist_OCons(X1),X4),hAPP(c_List_Ofilter(X1,X2),X5))|hBOOL(hAPP(hAPP(c_member(X1),esk500_7(hAPP(c_List_Ofilter(X1,X2),X5),X4,hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)),X2,X1,X3,X5)),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.47 cnf(i_0_6895, 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),esk487_8(X3,X6,X5,X5,X4,X4,X1,X2)),X5))|~class_Orderings_Oord(X1)|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_2061, 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,esk147_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))))). 3.26/3.47 cnf(i_0_3720, plain, (hAPP(c_Map_Omap__of(X1,X2),X3)=hAPP(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))))). 3.26/3.47 cnf(i_0_269, 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)))). 3.26/3.47 cnf(i_0_567, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),esk43_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_553, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk41_3(X1,X2,X3)),X1))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_4474, plain, (hAPP(c_List_Ofilter(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)))=hAPP(hAPP(c_List_Olist_OCons(X1),X4),hAPP(c_List_Ofilter(X1,X2),X5))|hBOOL(hAPP(hAPP(c_member(X1),esk326_7(hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)),X2,hAPP(c_List_Ofilter(X1,X2),X5),X4,X1,X3,X5)),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(X2,X4)))). 3.26/3.47 cnf(i_0_5636, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_member(X1),hAPP(c_Finite__Set_Ofold1(X1,c_Groups_Otimes__class_Otimes(X1)),X2)),X2))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),esk408_2(X2,X1)),esk409_2(X2,X1))),hAPP(hAPP(c_Set_Oinsert(X1),esk408_2(X2,X1)),hAPP(hAPP(c_Set_Oinsert(X1),esk409_2(X2,X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_3173, 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))). 3.26/3.47 cnf(i_0_2662, plain, (hAPP(c_Map_Omap__of(X1,X2),X3)=hAPP(c_Map_Omap__of(X1,X2),X4)|hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X3))!=hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X4))|hAPP(hAPP(c_Map_Omap__of(X1,X2),X3),esk188_4(X4,X3,X2,X1))!=hAPP(hAPP(c_Map_Omap__of(X1,X2),X4),esk188_4(X4,X3,X2,X1)))). 3.26/3.47 cnf(i_0_5693, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4),hAPP(c_Set_Oimage(X1,X3,X5),X6))|esk415_6(X3,X4,X5,X6,X1,X2)!=esk414_6(X3,X4,X5,X6,X1,X2)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_1563, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_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)),esk112_3(X1,X2,X3)))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_1556, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk110_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)))). 3.26/3.47 cnf(i_0_4293, plain, (hBOOL(hAPP(hAPP(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),esk309_3(X1,X2,X3))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),esk310_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),esk310_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_3559, 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)))). 3.26/3.47 cnf(i_0_3367, 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))). 3.26/3.47 cnf(i_0_5827, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2))))|~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2))),X1),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))))))). 3.26/3.47 cnf(i_0_1690, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),esk120_5(X5,X4,X3,X2,X1)),hAPP(c_List_Oset(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5))). 3.26/3.47 cnf(i_0_1668, plain, (c_List_Olist__all2(X1,X2,X3,X4,X5)|hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),esk118_5(X3,X5,X4,X2,X1)),hAPP(c_List_Oset(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X4),X5))))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5))). 3.26/3.47 cnf(i_0_3560, 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)))). 3.26/3.47 cnf(i_0_5949, 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))). 3.26/3.47 cnf(i_0_521, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk37_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)))). 3.26/3.47 cnf(i_0_5888, 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))). 3.26/3.47 cnf(i_0_574, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=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)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_44, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))=hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X4))),X4)|~hBOOL(hAPP(X2,X3)))). 3.26/3.47 cnf(i_0_4955, 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,esk357_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)))). 3.26/3.47 cnf(i_0_566, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_3580, 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)))). 3.26/3.47 cnf(i_0_3206, 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))). 3.26/3.47 cnf(i_0_5844, 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(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))|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)))). 3.26/3.47 cnf(i_0_618, plain, (hAPP(X1,esk46_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,esk45_4(X2,X1,X3,X4)))),hAPP(X1,esk45_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)))). 3.26/3.47 cnf(i_0_2138, 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_Olist_OCons(X3),X5),X1)),hAPP(hAPP(c_List_Olist_OCons(X3),X6),X2))),c_List_Olistrel1(X3,X4))))). 3.26/3.47 cnf(i_0_7322, 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))). 3.26/3.47 cnf(i_0_2493, 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),esk174_4(X3,X2,X4,X1)),X4))|~class_Lattices_Osemilattice__inf(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 3.26/3.47 cnf(i_0_6389, 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),esk450_4(X3,X2,X4,X1)),X4))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 3.26/3.47 cnf(i_0_6354, 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)))). 3.26/3.47 cnf(i_0_3035, 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)))). 3.26/3.47 cnf(i_0_4664, 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))))). 3.26/3.47 cnf(i_0_1787, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk131_3(X1,X2,X3))),esk132_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),esk131_3(X1,X2,X3)),esk132_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_1351, 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))))). 3.26/3.47 cnf(i_0_1137, 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),esk82_4(X2,X4,X3,X1)),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_1661, 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),esk117_4(X2,X4,X3,X1)),X3))|~class_Lattices_Osemilattice__sup(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_1889, 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)). 3.26/3.47 cnf(i_0_2855, 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)))). 3.26/3.47 cnf(i_0_7374, 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))=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)),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)))). 3.26/3.47 cnf(i_0_1529, plain, (c_Map_Omap__upds(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))),X5,X6)=c_Map_Orestrict__map(X1,X2,c_Map_Omap__upds(X1,X2,X3,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)))). 3.26/3.47 cnf(i_0_96, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))|hAPP(X4,X2)!=hAPP(X4,X3)|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5))))). 3.26/3.47 cnf(i_0_5298, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk386_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))))). 3.26/3.47 cnf(i_0_573, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_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)),esk41_3(X1,X2,X3)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_565, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk43_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_5088, 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))))). 3.26/3.47 cnf(i_0_7094, 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))))). 3.26/3.47 cnf(i_0_1497, plain, (c_Lazy__Sequence_Ohb__flat(X1,c_Lazy__Sequence_Ohb__map(X2,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1)),hAPP(hAPP(c_COMBC(X2,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(X1))),X3),X4),hAPP(X5,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),X4),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))=hAPP(c_New__DSequence_Oneg__decr__bind(X2,X1,X5,X3),X4)|c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)=X4)). 3.26/3.47 cnf(i_0_6071, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk438_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))))). 3.26/3.47 cnf(i_0_4496, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk328_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))))). 3.26/3.47 cnf(i_0_821, 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,esk61_4(X1,X3,X4,X2)),esk62_4(X1,X3,X4,X2))),hAPP(hAPP(c_Set_Oinsert(X2),esk61_4(X1,X3,X4,X2)),hAPP(hAPP(c_Set_Oinsert(X2),esk62_4(X1,X3,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X1)))). 3.26/3.47 cnf(i_0_3086, 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)))). 3.26/3.47 cnf(i_0_1148, 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)))). 3.26/3.47 cnf(i_0_7279, 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)))). 3.26/3.47 cnf(i_0_6441, 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),esk454_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)))). 3.26/3.47 cnf(i_0_3337, 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)|~class_Rings_Osemiring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(X1),hAPP(X3,esk239_5(X5,X3,X4,X2,X1))),X5)))). 3.26/3.47 cnf(i_0_7493, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk531_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)))))). 3.26/3.47 cnf(i_0_2656, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk187_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)))))). 3.26/3.47 cnf(i_0_5691, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4),hAPP(c_Set_Oimage(X1,X3,X5),X6))|hAPP(X4,hAPP(X5,esk414_6(X3,X4,X5,X6,X1,X2)))!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_5706, 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,esk416_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)))). 3.26/3.47 cnf(i_0_7231, 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))))))). 3.26/3.47 cnf(i_0_4181, 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))))). 3.26/3.47 cnf(i_0_2223, 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)))). 3.26/3.47 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),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)))). 3.26/3.47 cnf(i_0_4279, 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))). 3.26/3.47 cnf(i_0_1725, 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,esk124_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)))). 3.26/3.47 cnf(i_0_1803, 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,esk133_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)))). 3.26/3.47 cnf(i_0_4773, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),esk346_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))))). 3.26/3.47 cnf(i_0_639, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),esk47_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))))). 3.26/3.47 cnf(i_0_3827, 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)))). 3.26/3.47 cnf(i_0_1373, 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)))). 3.26/3.47 cnf(i_0_3909, plain, (hBOOL(hAPP(hAPP(c_member(X1),esk281_4(X2,X3,X4,X1)),X3))|hBOOL(hAPP(hAPP(c_member(X1),esk280_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))))). 3.26/3.47 cnf(i_0_7091, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(X1,X2,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_HOL_Obool),X1),c_fequal),X3)),X4))))|~class_Orderings_Oorder(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2)),X3),X4)))). 3.26/3.47 cnf(i_0_1473, 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,esk104_6(X4,X3,X6,X5,X2,X1))!=hAPP(X6,esk104_6(X4,X3,X6,X5,X2,X1))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 3.26/3.47 cnf(i_0_3361, 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)))). 3.26/3.47 cnf(i_0_1041, 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))))))))). 3.26/3.47 cnf(i_0_5172, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk373_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)))). 3.26/3.47 cnf(i_0_2392, plain, (hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk169_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)))). 3.26/3.47 cnf(i_0_3320, 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))). 3.26/3.47 cnf(i_0_4188, 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))). 3.26/3.47 cnf(i_0_6302, 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)))). 3.26/3.47 cnf(i_0_5336, 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)),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))))). 3.26/3.47 cnf(i_0_3847, 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)))). 3.26/3.47 cnf(i_0_160, 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))). 3.26/3.47 cnf(i_0_5487, 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))))). 3.26/3.47 cnf(i_0_2613, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),hAPP(X3,esk181_8(X4,X5,X3,X6,X7,X8,X2,X1))),hAPP(X5,esk182_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))))). 3.26/3.47 cnf(i_0_537, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(X2,esk38_3(X3,X2,X1))),hAPP(X2,esk39_3(X3,X2,X1)))!=hAPP(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),esk38_3(X3,X2,X1)),esk39_3(X3,X2,X1)))|~class_Lattices_Oab__semigroup__idem__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_467, 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))). 3.26/3.47 cnf(i_0_2273, 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))))). 3.26/3.47 cnf(i_0_5170, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk374_4(X1,X2,X3,X4)),esk373_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)))). 3.26/3.47 cnf(i_0_1090, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk79_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_List_Oset(X1),esk80_2(X2,X1))),hAPP(c_List_Oset(X1),esk81_2(X2,X1)))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_5709, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk417_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))))). 3.26/3.47 cnf(i_0_5030, 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))). 3.26/3.47 cnf(i_0_2390, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk170_4(X1,X2,X3,X4)),esk169_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)))). 3.26/3.47 cnf(i_0_1128, plain, (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),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))). 3.26/3.47 cnf(i_0_7230, plain, (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)))=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),X3)))|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_249, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk16_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))))). 3.26/3.47 cnf(i_0_6855, 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,esk482_4(X1,X4,X3,X2)),esk483_4(X1,X4,X3,X2)),esk484_4(X1,X4,X3,X2))))). 3.26/3.47 cnf(i_0_76, 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)))). 3.26/3.47 cnf(i_0_5993, 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)))). 3.26/3.47 cnf(i_0_4371, 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)))). 3.26/3.47 cnf(i_0_5040, 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))))))). 3.26/3.47 cnf(i_0_5886, 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)))). 3.26/3.47 cnf(i_0_2826, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk207_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk208_2(X1,X2)))))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),esk209_2(X1,X2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)))|hBOOL(hAPP(X1,esk207_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)))). 3.26/3.47 cnf(i_0_6810, 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))). 3.26/3.47 cnf(i_0_3937, 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)),esk287_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)))). 3.26/3.47 cnf(i_0_734, 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)))). 3.26/3.47 cnf(i_0_2569, 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)))). 3.26/3.47 cnf(i_0_1499, plain, (c_List_OtakeWhile(tc_List_Olist(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(c_fequal,c_List_Olist_ONil(X1))),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))))). 3.26/3.47 cnf(i_0_3936, 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)),esk288_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)))). 3.26/3.47 cnf(i_0_5019, 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)))). 3.26/3.47 cnf(i_0_2710, 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)))). 3.26/3.47 cnf(i_0_5638, 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_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))|~hBOOL(hAPP(hAPP(c_member(X1),X4),X3)))). 3.26/3.47 cnf(i_0_4723, 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)))). 3.26/3.47 cnf(i_0_2561, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__upds(X1,X2,X3,X4,X5)),X6),hAPP(c_Option_Ooption_OSome(X2),X7))=c_Map_Omap__upds(X1,X2,X3,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))))). 3.26/3.47 cnf(i_0_4776, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X3),esk346_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))))). 3.26/3.47 cnf(i_0_642, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),esk47_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))))). 3.26/3.47 cnf(i_0_30, 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),esk4_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)))). 3.26/3.47 cnf(i_0_3176, 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)). 3.26/3.47 cnf(i_0_962, 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))). 3.26/3.47 cnf(i_0_3502, 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,esk252_5(X4,X3,X5,X2,X1)))),hAPP(X2,esk252_5(X4,X3,X5,X2,X1)))),c_Transitive__Closure_Ortrancl(X1,X5))))). 3.26/3.47 cnf(i_0_7483, 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)),esk528_3(X3,X2,X1)),X2))|esk530_3(X3,X2,X1)!=esk529_3(X3,X2,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))))). 3.26/3.47 cnf(i_0_1091, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk79_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|esk81_2(X2,X1)!=esk80_2(X2,X1)|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_683, 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),esk53_4(X4,X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_6774, 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),esk472_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)))). 3.26/3.47 cnf(i_0_1507, 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),esk107_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)))). 3.26/3.47 cnf(i_0_6474, 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),esk456_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)))). 3.26/3.47 cnf(i_0_6134, 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)))). 3.26/3.47 cnf(i_0_3709, 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)))). 3.26/3.47 cnf(i_0_1631, 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)))). 3.26/3.47 cnf(i_0_1109, 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))))). 3.26/3.47 cnf(i_0_3370, 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,esk243_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)))). 3.26/3.47 cnf(i_0_2088, 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,esk152_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)))). 3.26/3.47 cnf(i_0_6729, 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)))). 3.26/3.47 cnf(i_0_1830, 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)))). 3.26/3.47 cnf(i_0_1354, 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))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)!=c_Groups_Oone__class_Oone(X1)|~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)))). 3.26/3.47 cnf(i_0_98, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X4)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(X5,X2)),hAPP(X5,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X5),X4)))))). 3.26/3.47 cnf(i_0_2856, plain, (hAPP(c_SetInterval_Oord__class_OatLeastLessThan(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(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)),X2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,X1),X3))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X3)))). 3.26/3.47 cnf(i_0_1073, 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)))). 3.26/3.47 cnf(i_0_5459, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),esk396_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))))). 3.26/3.47 cnf(i_0_5458, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(X3),esk397_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))))). 3.26/3.47 cnf(i_0_1182, 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)))). 3.26/3.47 cnf(i_0_1401, 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))))). 3.26/3.47 cnf(i_0_699, 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)))). 3.26/3.47 cnf(i_0_3573, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),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)))). 3.26/3.47 cnf(i_0_8, 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)))). 3.26/3.47 cnf(i_0_6259, plain, (c_List_Olist__all(X1,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),hAPP(c_fequal,X3))),X4)|~c_List_Olist__ex1(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))|~hBOOL(hAPP(X2,X3)))). 3.26/3.47 cnf(i_0_4313, 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))). 3.26/3.47 cnf(i_0_3530, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4)))),hAPP(hAPP(c_List_Oappend(X1),X3),X4))=hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X4))),X4)|~hBOOL(hAPP(X2,esk255_4(X4,X2,X3,X1))))). 3.26/3.47 cnf(i_0_5197, 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),esk375_4(X4,X3,X2,X1))),hAPP(hAPP(c_List_Onth(X1),X3),esk375_4(X4,X3,X2,X1)))),X4)))). 3.26/3.47 cnf(i_0_5456, 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),esk396_7(X1,X2,X5,X4,X6,X7,X3)),esk397_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))))). 3.26/3.47 cnf(i_0_4796, 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)))). 3.26/3.47 cnf(i_0_1089, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk80_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),esk79_2(X2,X1)))|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_1088, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk81_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|~hBOOL(hAPP(c_List_Odistinct(X1),esk79_2(X2,X1)))|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_3557, 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))))). 3.26/3.47 cnf(i_0_205, 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))). 3.26/3.47 cnf(i_0_620, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk46_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,esk45_4(X2,X3,X4,X1)))),hAPP(X3,esk45_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)))). 3.26/3.47 cnf(i_0_2971, 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)))). 3.26/3.47 cnf(i_0_3570, plain, (hBOOL(hAPP(hAPP(X1,esk258_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk259_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk258_3(X1,X2,X3)),esk259_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),X3),X2))))). 3.26/3.47 cnf(i_0_2515, 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)))). 3.26/3.47 cnf(i_0_619, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk46_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,esk45_4(X1,X2,X3,X4)))),hAPP(X2,esk45_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)))). 3.26/3.47 cnf(i_0_6894, 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,esk487_8(X6,X3,X5,X5,X4,X4,X1,X2))!=hAPP(X6,esk487_8(X6,X3,X5,X5,X4,X4,X1,X2))|~class_Orderings_Oord(X1)|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_4871, 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),esk353_4(X3,X4,X2,X1))),esk352_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))))). 3.26/3.47 cnf(i_0_6231, 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))). 3.26/3.47 cnf(i_0_3529, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)|~class_Groups_Omonoid__mult(X1))). 3.26/3.47 cnf(i_0_2394, plain, (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))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_2575, plain, (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)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_5432, 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_Groups_Oab__group__add(X2)|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X4)))). 3.26/3.47 cnf(i_0_767, plain, (hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),hAPP(c_List_Ofilter(X2,X4),X5)))=hAPP(c_List_Omonoid__add__class_Olistsum(X1),hAPP(hAPP(c_List_Omap(X2,X1),X3),X5))|hBOOL(hAPP(hAPP(c_member(X2),esk56_5(X3,X4,X5,X2,X1)),hAPP(c_List_Oset(X2),X5)))|~class_Groups_Omonoid__add(X1))). 3.26/3.47 cnf(i_0_5848, 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),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))))|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~hBOOL(hAPP(hAPP(c_member(X1),X3),X5)))). 3.26/3.47 cnf(i_0_6504, 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)))). 3.26/3.47 cnf(i_0_6189, 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)))). 3.26/3.47 cnf(i_0_6038, 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)))))). 3.26/3.47 cnf(i_0_2260, 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))). 3.26/3.47 cnf(i_0_515, 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)))). 3.26/3.47 cnf(i_0_840, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk65_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)))). 3.26/3.47 cnf(i_0_1586, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_3(X1,X2,X3)))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_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))))). 3.26/3.47 cnf(i_0_59, 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)))). 3.26/3.47 cnf(i_0_233, 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)))). 3.26/3.47 cnf(i_0_5623, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))|~hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(X4,X2)),hAPP(X4,X3))))). 3.26/3.47 cnf(i_0_2824, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),esk207_2(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk208_2(X1,X2)))))|hBOOL(hAPP(X1,esk210_2(X1,X2)))|hBOOL(hAPP(X1,esk207_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)))). 3.26/3.47 cnf(i_0_6692, 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))). 3.26/3.47 cnf(i_0_3868, 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))). 3.26/3.47 cnf(i_0_5708, 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),esk418_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))))). 3.26/3.47 cnf(i_0_6207, 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))))). 3.26/3.47 cnf(i_0_466, 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))). 3.26/3.47 cnf(i_0_1561, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk112_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk111_3(X1,X2,X3)))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk110_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk109_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~hBOOL(hAPP(X3,X2)))). 3.26/3.47 cnf(i_0_248, 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)),esk17_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))))). 3.26/3.47 cnf(i_0_4836, 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))). 3.26/3.47 cnf(i_0_1930, 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)))). 3.26/3.47 cnf(i_0_1759, 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)))). 3.26/3.47 cnf(i_0_5747, plain, (hAPP(hAPP(c_Product__Type_OPair(X1,X2),hAPP(hAPP(c_List_Onth(X1),X3),X4)),hAPP(hAPP(c_List_Onth(X2),X5),X4))=hAPP(hAPP(c_List_Onth(tc_prod(X1,X2)),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X5)),X4)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X5)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))))). 3.26/3.47 cnf(i_0_5687, 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)))). 3.26/3.47 cnf(i_0_7481, 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)),esk529_3(X3,X2,X1)),X2))|hAPP(c_Finite__Set_Ocard(X1),esk528_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))))). 3.26/3.47 cnf(i_0_7480, 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)),esk530_3(X3,X2,X1)),X2))|hAPP(c_Finite__Set_Ocard(X1),esk528_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))))). 3.26/3.47 cnf(i_0_501, plain, (hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X3))),X4))=hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X3))),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))|X3=X2)). 3.26/3.47 cnf(i_0_563, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))). 3.26/3.47 cnf(i_0_2482, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(X1,X2)),X3))|~c_Enum_Oall__n__lists(X2,hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_HOL_Obool,tc_List_Olist(X2)),X3),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,X2),tc_List_Olist(X2)),c_Fun_Ocomp(tc_Option_Ooption(X2),X2,X1,c_Option_Othe(X2))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(X1,X2)),tc_fun(X1,tc_Option_Ooption(X2)),tc_List_Olist(X2)),c_Map_Omap__of(X1,X2)),hAPP(c_List_Ozip(X1,X2),c_Enum_Oenum__class_Oenum(X1))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_Enum_Oenum__class_Oenum(X1)))|~class_Enum_Oenum(X1)|~class_Enum_Oenum(X2))). 3.26/3.47 cnf(i_0_6317, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(X1,X2)),X3))|~c_Enum_Oex__n__lists(X2,hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_HOL_Obool,tc_List_Olist(X2)),X3),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_Option_Ooption(X2)),tc_fun(X1,X2),tc_List_Olist(X2)),c_Fun_Ocomp(tc_Option_Ooption(X2),X2,X1,c_Option_Othe(X2))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(X1,X2)),tc_fun(X1,tc_Option_Ooption(X2)),tc_List_Olist(X2)),c_Map_Omap__of(X1,X2)),hAPP(c_List_Ozip(X1,X2),c_Enum_Oenum__class_Oenum(X1))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_Enum_Oenum__class_Oenum(X1)))|~class_Enum_Oenum(X1)|~class_Enum_Oenum(X2))). 3.26/3.47 cnf(i_0_7482, 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)),esk528_3(X3,X2,X1)),X2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),esk529_3(X3,X2,X1)),esk530_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))))). 3.26/3.47 cnf(i_0_4304, 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)))). 3.26/3.47 cnf(i_0_4703, 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,esk339_5(X5,X3,X4,X2,X1))))). 3.26/3.47 cnf(i_0_564, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk41_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk40_3(X1,X2,X3)))=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk43_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk42_3(X1,X2,X3)))=X2|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=X1|hBOOL(hAPP(X3,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),X2),X1))))). 3.26/3.47 cnf(i_0_7169, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),X4),hAPP(c_Set_Oimage(X5,X2,X6),X7))=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X5,c_Groups_Otimes__class_Otimes(X1)),hAPP(c_Fun_Ocomp(X2,X1,X5,X3),X6)),X4),X7)|~class_Groups_Oab__semigroup__mult(X1)|~c_Fun_Oinj__on(X5,X2,X6,X7)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X7)))). 3.26/3.47 cnf(i_0_4209, plain, (hAPP(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))). 3.26/3.47 cnf(i_0_3043, plain, (hAPP(hAPP(c_List_Onth(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))),X3)),X4)=hAPP(hAPP(c_List_Onth(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X3))))))). 3.26/3.47 cnf(i_0_5032, 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,esk364_4(X4,X3,X2,X1))))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2))))). 3.26/3.47 cnf(i_0_529, 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)))). 3.26/3.47 cnf(i_0_1394, 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)))). 3.26/3.47 cnf(i_0_4629, 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)))). 3.26/3.47 cnf(i_0_4497, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk328_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))))). 3.26/3.47 cnf(i_0_5297, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk386_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))))). 3.26/3.47 cnf(i_0_6072, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk438_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))))). 3.26/3.47 cnf(i_0_5931, 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,esk430_5(X5,X4,X2,X1,X3)),esk431_5(X5,X4,X2,X1,X3))))). 3.26/3.47 cnf(i_0_3872, 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))). 3.26/3.47 cnf(i_0_1379, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X3),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),X4),X2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),X5),X2)))|hBOOL(hAPP(hAPP(c_member(X1),esk96_5(X5,X4,X2,X1,X3)),X2))|~class_Groups_Oordered__cancel__ab__semigroup__add(X3)|~class_Groups_Ocomm__monoid__add(X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_7284, 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)))). 3.26/3.47 cnf(i_0_6064, 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)))). 3.26/3.47 cnf(i_0_7548, 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,esk540_5(X5,X3,X4,X2,X1))),hAPP(X5,esk540_5(X5,X3,X4,X2,X1)))))). 3.26/3.47 cnf(i_0_142, 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)))). 3.26/3.47 cnf(i_0_5810, 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)))). 3.26/3.47 cnf(i_0_2981, 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)))). 3.26/3.47 cnf(i_0_4066, 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)))). 3.26/3.47 cnf(i_0_217, 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)))). 3.26/3.47 cnf(i_0_6735, 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)))). 3.26/3.47 cnf(i_0_1981, 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))|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))). 3.26/3.47 cnf(i_0_1000, 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)))). 3.26/3.47 cnf(i_0_1474, 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),esk104_6(X4,X3,X6,X5,X2,X1)),X5))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X5)))). 3.26/3.47 cnf(i_0_2721, plain, (hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),X4),hAPP(hAPP(c_Set_Oinsert(X2),X5),X6))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(X3,X5)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(X1,X2,c_Groups_Otimes__class_Otimes(X1)),X3),X4),X6))|hBOOL(hAPP(hAPP(c_member(X2),X5),X6))|~class_Groups_Oab__semigroup__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 3.26/3.47 cnf(i_0_6532, 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|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))). 3.26/3.47 cnf(i_0_5817, 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)))). 3.26/3.47 cnf(i_0_3273, 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)))))). 3.26/3.47 cnf(i_0_509, 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_Power_Opower__class_Opower(X2),X1),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))|~class_Rings_Olinordered__idom(X2))). 3.26/3.47 cnf(i_0_3185, 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)))))). 3.26/3.47 cnf(i_0_4841, 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)))). 3.26/3.47 cnf(i_0_6125, 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)))). 3.26/3.47 cnf(i_0_2801, 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))))),esk206_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)))). 3.26/3.47 cnf(i_0_299, 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)))). 3.26/3.47 cnf(i_0_1280, 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))). 3.26/3.47 cnf(i_0_1230, 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),esk94_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)))). 3.26/3.47 cnf(i_0_3175, 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)),X3)),X2)!=X3|hAPP(hAPP(c_List_Otake(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),X3)!=X2)). 3.26/3.47 cnf(i_0_6105, 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),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X2))),c_List_Olex(X1,X6))))). 3.26/3.47 cnf(i_0_3532, 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))))). 3.26/3.47 cnf(i_0_3555, 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)))). 3.26/3.47 cnf(i_0_4398, plain, (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))=c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(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)))). 3.26/3.47 cnf(i_0_7549, 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),esk540_5(X5,X3,X4,X2,X1)),hAPP(c_List_Oset(X2),X4)))|~class_Groups_Oordered__ab__semigroup__add(X1)|~class_Groups_Omonoid__add(X1))). 3.26/3.47 cnf(i_0_4599, 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)))). 3.26/3.47 cnf(i_0_4158, 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)))). 3.26/3.47 cnf(i_0_6564, plain, (hAPP(hAPP(c_List_Otake(X1),esk467_4(X2,X3,X4,X1)),X4)=hAPP(hAPP(c_List_Otake(X1),esk467_4(X2,X3,X4,X1)),X3)|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))))). 3.26/3.47 cnf(i_0_6582, 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,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)))))|~hBOOL(hAPP(hAPP(c_member(X1),X5),X4)))). 3.26/3.47 cnf(i_0_4849, 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))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 3.26/3.47 cnf(i_0_5891, 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)))). 3.26/3.47 cnf(i_0_2921, 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))))). 3.26/3.47 cnf(i_0_4951, 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))))). 3.26/3.47 cnf(i_0_3531, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),X4)))),hAPP(hAPP(c_List_Oappend(X1),X3),X4))=hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,X4))),X4)|hBOOL(hAPP(hAPP(c_member(X1),esk255_4(X4,X2,X3,X1)),hAPP(c_List_Oset(X1),X3))))). 3.26/3.47 cnf(i_0_2128, 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)))). 3.26/3.47 cnf(i_0_659, 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)))). 3.26/3.47 cnf(i_0_6811, 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))))). 3.26/3.47 cnf(i_0_1110, 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))))). 3.26/3.47 cnf(i_0_6660, 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)))). 3.26/3.47 cnf(i_0_1174, 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),X1),X4)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))). 3.26/3.47 cnf(i_0_5188, 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))). 3.26/3.47 cnf(i_0_4060, 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))). 3.26/3.47 cnf(i_0_3165, 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)))). 3.26/3.47 cnf(i_0_2064, 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)))). 3.26/3.47 cnf(i_0_2589, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3)). 3.26/3.47 cnf(i_0_1229, 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,esk94_6(X6,X4,X2,X5,X3,X1))),hAPP(X6,esk94_6(X6,X4,X2,X5,X3,X1))))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X5)))). 3.26/3.47 cnf(i_0_432, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~c_Relation_Osingle__valued(X2,X4,hAPP(c_Relation_Oconverse(X4,X2),X5)))). 3.26/3.47 cnf(i_0_3642, 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)))). 3.26/3.47 cnf(i_0_4513, 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))). 3.26/3.47 cnf(i_0_1168, 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)))). 3.26/3.47 cnf(i_0_4625, 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)))). 3.26/3.47 cnf(i_0_5063, plain, (c_List_Olist__all2(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X3),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(tc_fun(X2,X3),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBB(X3,tc_HOL_Obool,X2)),X4)),X5),X6,X7)|~c_List_Olist__all2(X1,X3,X4,X6,hAPP(hAPP(c_List_Omap(X2,X3),X5),X7)))). 3.26/3.47 cnf(i_0_1544, 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)))). 3.26/3.47 cnf(i_0_5730, 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)))). 3.26/3.47 cnf(i_0_3893, 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)))). 3.26/3.47 cnf(i_0_6167, 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)))). 3.26/3.47 cnf(i_0_4704, 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,esk339_5(X5,X3,X4,X2,X1)))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 3.26/3.47 cnf(i_0_10, 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)))). 3.26/3.47 cnf(i_0_5695, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4),hAPP(c_Set_Oimage(X1,X3,X5),X6))|hBOOL(hAPP(hAPP(c_member(X1),esk414_6(X3,X4,X5,X6,X1,X2)),X6))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_2011, 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))))). 3.26/3.47 cnf(i_0_5694, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4),hAPP(c_Set_Oimage(X1,X3,X5),X6))|hBOOL(hAPP(hAPP(c_member(X1),esk415_6(X3,X4,X5,X6,X1,X2)),X6))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_6301, 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)))). 3.26/3.47 cnf(i_0_5692, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(c_Fun_Ocomp(X3,X2,X1,X4),X5)),X6)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X3,X2),X4),hAPP(c_Set_Oimage(X1,X3,X5),X6))|hAPP(X5,esk415_6(X3,X4,X5,X6,X1,X2))=hAPP(X5,esk414_6(X3,X4,X5,X6,X1,X2))|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_2010, 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))))). 3.26/3.47 cnf(i_0_60, 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))))). 3.26/3.47 cnf(i_0_3710, 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)))). 3.26/3.47 cnf(i_0_2062, 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),esk147_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))))). 3.26/3.47 cnf(i_0_359, 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))))). 3.26/3.47 cnf(i_0_2430, 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)))). 3.26/3.47 cnf(i_0_6108, 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))))). 3.26/3.47 cnf(i_0_6107, 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)),X5)!=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),X2),X4)),X6)))). 3.26/3.47 cnf(i_0_5200, 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))))). 3.26/3.47 cnf(i_0_6621, 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)))). 3.26/3.47 cnf(i_0_5279, 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)))). 3.26/3.47 cnf(i_0_5457, plain, (hAPP(X1,esk397_7(X2,X3,X1,X4,X5,X6,X7))=hAPP(X1,esk396_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))))). 3.26/3.47 cnf(i_0_3574, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),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)))). 3.26/3.47 cnf(i_0_7485, 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)),esk529_3(X3,X2,X1)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk528_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))))). 3.26/3.47 cnf(i_0_7484, 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)),esk530_3(X3,X2,X1)),X2))|hBOOL(hAPP(hAPP(c_member(tc_fun(X1,tc_HOL_Obool)),esk528_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))))). 3.26/3.47 cnf(i_0_5198, 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),esk375_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))). 3.26/3.47 cnf(i_0_4085, 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)))). 3.26/3.47 cnf(i_0_5215, 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)))). 3.26/3.47 cnf(i_0_1819, 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)))). 3.26/3.47 cnf(i_0_1943, 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)))). 3.26/3.47 cnf(i_0_3896, 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))). 3.26/3.47 cnf(i_0_1019, 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)))). 3.26/3.47 cnf(i_0_4162, 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)))). 3.26/3.47 cnf(i_0_1093, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk80_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk79_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_818, 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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))|hBOOL(hAPP(c_Nat__Numeral_Oneg,X1)))). 3.26/3.47 cnf(i_0_3223, 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))))))). 3.26/3.47 cnf(i_0_4874, 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))))). 3.26/3.47 cnf(i_0_2663, plain, (hAPP(c_Map_Omap__of(X1,X2),X3)=hAPP(c_Map_Omap__of(X1,X2),X4)|hBOOL(hAPP(hAPP(c_member(X1),esk188_4(X3,X4,X2,X1)),hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X4))))|hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X3))!=hAPP(c_List_Oset(X1),hAPP(hAPP(c_List_Omap(tc_prod(X1,X2),X1),c_Product__Type_Ofst(X1,X2)),X4)))). 3.26/3.47 cnf(i_0_2612, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk181_8(X3,X4,X5,X2,X1,X6,X7,X8)),esk182_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))))). 3.26/3.47 cnf(i_0_410, 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))). 3.26/3.47 cnf(i_0_1092, plain, (hBOOL(hAPP(c_List_Odistinct(X1),hAPP(c_List_Ofoldl(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk81_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk79_2(X2,X1)),hAPP(c_List_Oset(tc_List_Olist(X1)),X2)))|~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(X1)),X2)))). 3.26/3.47 cnf(i_0_6503, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),hAPP(hAPP(c_COMBS(X1,X2,X2),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,X2),X1),c_Groups_Oplus__class_Oplus(X2)),X3)),X4)),X5)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X3),X5)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X2),X4),X5))|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_6279, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),hAPP(hAPP(c_COMBS(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__mult__class_Osetprod(X1,X2),X3),X5)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(X1,X2),X4),X5))|~class_Groups_Ocomm__monoid__mult(X2))). 3.26/3.47 cnf(i_0_5059, 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)))). 3.26/3.47 cnf(i_0_158, 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)))))). 3.26/3.47 cnf(i_0_4213, 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)),esk305_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),esk305_4(X2,X4,X3,X1)))),X2))). 3.26/3.47 cnf(i_0_4420, 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)))). 3.26/3.47 cnf(i_0_6859, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),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)),c_List_OtakeWhile(X1,X2,X3))),X3)),X4)|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_member(X1),X5),hAPP(c_List_Oset(X1),X3))))). 3.26/3.47 cnf(i_0_6995, 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)))). 3.26/3.47 cnf(i_0_2065, 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)))). 3.26/3.47 cnf(i_0_1231, plain, (hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))|~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X2))))). 3.26/3.47 cnf(i_0_3707, 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)))). 3.26/3.47 cnf(i_0_3768, 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)))). 3.26/3.47 cnf(i_0_62, 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))))). 3.26/3.47 cnf(i_0_2136, 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))))). 3.26/3.47 cnf(i_0_6106, 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))))). 3.26/3.47 cnf(i_0_4956, 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),esk357_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)))). 3.26/3.47 cnf(i_0_5343, 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)))). 3.26/3.47 cnf(i_0_6602, 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)))). 3.26/3.47 cnf(i_0_1039, 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)))). 3.26/3.47 cnf(i_0_3339, 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,esk240_6(X5,X6,X4,X3,X2,X1)),esk241_6(X5,X6,X4,X3,X2,X1))))). 3.26/3.47 cnf(i_0_2904, 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,esk214_6(X3,X5,X4,X6,X2,X1)),esk215_6(X3,X5,X4,X6,X2,X1))))). 3.26/3.47 cnf(i_0_3457, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3)))|~c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3)))|~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X2))))). 3.26/3.47 cnf(i_0_685, 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))))))). 3.26/3.47 cnf(i_0_4847, 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))))))). 3.26/3.47 cnf(i_0_4705, 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),esk339_5(X5,X3,X4,X2,X1)),X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)))). 3.26/3.47 cnf(i_0_7119, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),esk505_7(X6,X7,X1,X5,X4,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))),esk506_7(X6,X7,X1,X5,X4,X3,X2))|~c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,X1,hAPP(hAPP(X4,X7),X6)))). 3.26/3.47 cnf(i_0_6565, plain, (hAPP(hAPP(c_List_Otake(X1),esk467_4(X2,X3,X4,X1)),X4)=hAPP(hAPP(c_List_Otake(X1),esk467_4(X2,X3,X4,X1)),X3)|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))))). 3.26/3.47 cnf(i_0_640, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),X1),esk47_5(X4,X5,X2,X1,X3))),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),esk48_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))))). 3.26/3.47 cnf(i_0_1100, 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)))). 3.26/3.47 cnf(i_0_1407, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=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_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))). 3.26/3.47 cnf(i_0_4974, 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))). 3.26/3.47 cnf(i_0_6476, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),esk457_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))). 3.26/3.47 cnf(i_0_1991, 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)))). 3.26/3.47 cnf(i_0_413, 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))). 3.26/3.47 cnf(i_0_4772, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X3)),hAPP(hAPP(c_Product__Type_OPair(X3,X3),esk346_5(X4,X5,X1,X2,X3)),X1)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X3,X3),tc_HOL_Obool),esk347_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))))). 3.26/3.47 cnf(i_0_7120, plain, (hAPP(hAPP(X1,X2),X3)=X4|c_Nitpick_Ofold__graph_H(X5,X6,X1,X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool)),X7),hAPP(hAPP(c_Set_Oinsert(X5),esk505_7(X3,X2,X7,X4,X1,X6,X5)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),esk506_7(X3,X2,X7,X4,X1,X6,X5))|~c_Nitpick_Ofold__graph_H(X5,X6,X1,X4,X7,hAPP(hAPP(X1,X2),X3)))). 3.26/3.47 cnf(i_0_5126, 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),esk367_4(X1,X2,X4,X3)),esk368_4(X1,X2,X4,X3))),X4)))). 3.26/3.47 cnf(i_0_5128, 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),esk368_4(X1,X2,X4,X3)),esk367_4(X1,X2,X4,X3))),X4)))). 3.26/3.47 cnf(i_0_1804, 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),esk133_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)))). 3.26/3.47 cnf(i_0_4722, 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)))). 3.26/3.47 cnf(i_0_6915, 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)))). 3.26/3.47 cnf(i_0_5930, 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,esk431_5(X5,X4,X2,X1,X3)))),X4),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(X5,esk430_5(X5,X4,X2,X1,X3)))))))). 3.26/3.47 cnf(i_0_3018, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_Enum_Oenum__class_Oenum__all(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_HOL_Obool,X2),X3)),c_Product__Type_OPair(X1,X2)))))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(X1,X2)),X3)))). 3.26/3.47 cnf(i_0_2034, plain, (hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool,X1),c_Enum_Oenum__class_Oenum__ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_HOL_Obool,X2),X3)),c_Product__Type_OPair(X1,X2)))))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(X1,X2)),X3)))). 3.26/3.47 cnf(i_0_5467, 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)))). 3.26/3.47 cnf(i_0_3941, 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)))). 3.26/3.47 cnf(i_0_3041, 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))))). 3.26/3.47 cnf(i_0_5165, 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))))). 3.26/3.47 cnf(i_0_6682, 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)))). 3.26/3.47 cnf(i_0_3396, 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)))). 3.26/3.47 cnf(i_0_2726, 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))))). 3.26/3.47 cnf(i_0_7506, 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))))). 3.26/3.47 cnf(i_0_860, 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)))). 3.26/3.47 cnf(i_0_1841, 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)))). 3.26/3.47 cnf(i_0_6614, 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),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X3))),c_SetInterval_Oord__class_OatLeastAtMost(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5),X3)))|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.47 cnf(i_0_6239, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),X3),hAPP(X4,X5)),X6)=hAPP(X4,hAPP(c_List_Ofoldl(X7,X2,hAPP(c_COMBC(X2,X7,X7),X8),X5),X6))|hAPP(c_Fun_Ocomp(X7,X1,X7,X4),hAPP(X8,esk446_8(X5,X8,X4,X3,X7,X1,X6,X2)))!=hAPP(c_Fun_Ocomp(X1,X1,X7,hAPP(X3,esk446_8(X5,X8,X4,X3,X7,X1,X6,X2))),X4))). 3.26/3.47 cnf(i_0_6097, 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)))). 3.26/3.47 cnf(i_0_643, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X3),esk47_5(X4,X1,X5,X3,X2))),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),esk48_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))))). 3.26/3.47 cnf(i_0_4775, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),esk346_5(X3,X1,X4,X5,X2)),X4)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(X2,X2),tc_HOL_Obool),esk347_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))))). 3.26/3.47 cnf(i_0_268, 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))). 3.26/3.47 cnf(i_0_3867, plain, (hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,hAPP(X2,X3)))),hAPP(hAPP(c_List_Omap(X4,X1),X2),X5))=hAPP(hAPP(c_List_Omap(X4,X1),X2),hAPP(c_List_Ofilter(X4,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4,tc_HOL_Obool)),hAPP(c_fequal,X3))),X5))|~c_Fun_Oinj__on(X4,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))). 3.26/3.47 cnf(i_0_2888, 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)))). 3.26/3.47 cnf(i_0_5342, 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)))). 3.26/3.47 cnf(i_0_4529, 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)))). 3.26/3.47 cnf(i_0_910, 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)))). 3.26/3.47 cnf(i_0_1823, 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)))). 3.26/3.47 cnf(i_0_6562, 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),esk467_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))))). 3.26/3.47 cnf(i_0_5665, 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_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),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))))). 3.26/3.47 cnf(i_0_4144, 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)))))). 3.26/3.47 cnf(i_0_361, 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)))). 3.26/3.47 cnf(i_0_875, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),esk71_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))). 3.26/3.47 cnf(i_0_5480, plain, (X1=X2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),esk398_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))). 3.26/3.47 cnf(i_0_6240, plain, (hAPP(c_List_Ofoldl(X1,X2,hAPP(c_COMBC(X2,X1,X1),X3),hAPP(X4,X5)),X6)=hAPP(X4,hAPP(c_List_Ofoldl(X7,X2,hAPP(c_COMBC(X2,X7,X7),X8),X5),X6))|hBOOL(hAPP(hAPP(c_member(X2),esk446_8(X5,X8,X4,X3,X7,X1,X6,X2)),hAPP(c_List_Oset(X2),X6))))). 3.26/3.47 cnf(i_0_999, 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)))). 3.26/3.47 cnf(i_0_4610, plain, (hAPP(c_List_Ofilter(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,hAPP(X2,X3)))),hAPP(hAPP(c_List_Omap(X4,X1),X2),X5))=hAPP(hAPP(c_List_Omap(X4,X1),X2),hAPP(c_List_Ofilter(X4,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4,tc_HOL_Obool)),hAPP(c_fequal,X3))),X5))|~c_Fun_Oinj__on(X4,X1,X2,hAPP(hAPP(c_Set_Oinsert(X4),X3),hAPP(c_List_Oset(X4),X5))))). 3.26/3.47 cnf(i_0_3809, plain, (X1=c_Groups_Ozero__class_Ozero(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)|~class_Rings_Olinordered__idom(X2))). 3.26/3.47 cnf(i_0_3810, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|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)|~class_Rings_Olinordered__idom(X1))). 3.26/3.47 cnf(i_0_3406, 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,esk246_8(X8,X6,X3,X1,X7,X5,X2,X4))),X7))|~hBOOL(hAPP(hAPP(c_member(X1),X8),X3)))). 3.26/3.47 cnf(i_0_4399, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),X2)))|~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),X1),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),X2))),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),X2)))). 3.26/3.47 cnf(i_0_5443, 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))))). 3.26/3.47 cnf(i_0_6130, 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))))). 3.26/3.47 cnf(i_0_2666, 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)))). 3.26/3.47 cnf(i_0_635, 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))))). 3.26/3.47 cnf(i_0_974, 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)))). 3.26/3.47 cnf(i_0_836, 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),esk66_4(X4,X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_3051, 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))). 3.26/3.47 cnf(i_0_360, 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)))). 3.26/3.47 cnf(i_0_4499, 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))))). 3.26/3.47 cnf(i_0_2473, 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),esk173_4(X4,X2,X3,X1)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_1390, 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)))). 3.26/3.47 cnf(i_0_150, 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)))). 3.26/3.47 cnf(i_0_1686, 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)))). 3.26/3.47 cnf(i_0_1292, 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)))). 3.26/3.47 cnf(i_0_6253, 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)))). 3.26/3.47 cnf(i_0_1935, 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)))). 3.26/3.47 cnf(i_0_1995, 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))). 3.26/3.47 cnf(i_0_6563, plain, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk467_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))))). 3.26/3.47 cnf(i_0_6488, 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)))). 3.26/3.47 cnf(i_0_4986, 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)))). 3.26/3.47 cnf(i_0_2636, 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)))). 3.26/3.47 cnf(i_0_2334, 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))))). 3.26/3.47 cnf(i_0_4946, 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,esk356_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)))). 3.26/3.47 cnf(i_0_4009, 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)))). 3.26/3.47 cnf(i_0_835, 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),esk66_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)))). 3.26/3.47 cnf(i_0_6224, plain, (hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__upds(X1,X2,X3,X4,X5)),X6),hAPP(c_Option_Ooption_OSome(X2),X7))=c_Map_Omap__upds(X1,X2,X3,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)))))). 3.26/3.47 cnf(i_0_5731, 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)))). 3.26/3.47 cnf(i_0_4959, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|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))))). 3.26/3.47 cnf(i_0_5093, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OnegDivAlg(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_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)))). 3.26/3.47 cnf(i_0_6254, 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))). 3.26/3.47 cnf(i_0_6065, 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)))). 3.26/3.47 cnf(i_0_4272, 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)))). 3.26/3.47 cnf(i_0_2472, 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),esk173_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)))). 3.26/3.47 cnf(i_0_7463, 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))))). 3.26/3.47 cnf(i_0_6569, 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),X2)!=hAPP(hAPP(c_List_Otake(X1),X5),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),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)))))). 3.26/3.47 cnf(i_0_3974, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk291_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)))))). 3.26/3.47 cnf(i_0_1293, 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))). 3.26/3.47 cnf(i_0_514, 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)))). 3.26/3.47 cnf(i_0_285, 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)))). 3.26/3.47 cnf(i_0_1406, 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_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))!=c_Groups_Oone__class_Oone(tc_Nat_Onat))). 3.26/3.47 cnf(i_0_6132, 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)))). 3.26/3.47 cnf(i_0_1154, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk86_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)))))). 3.26/3.47 cnf(i_0_270, 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)))). 3.26/3.47 cnf(i_0_5356, 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))|hBOOL(hAPP(hAPP(c_member(X2),esk390_7(X4,X3,X1,X6,X7,X5,X2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X3),X4)))|~c_Finite__Set_Ofolding__image__simple(X8,X2,X5,X7,X6,X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_6326, 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)))). 3.26/3.47 cnf(i_0_7155, plain, (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))=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))). 3.26/3.47 cnf(i_0_7328, 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))))). 3.26/3.47 cnf(i_0_5127, 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)))|esk367_4(X1,X2,X4,X3)!=esk368_4(X1,X2,X4,X3))). 3.26/3.47 cnf(i_0_1108, 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))))). 3.26/3.47 cnf(i_0_6566, 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),esk467_4(X4,X3,X2,X1))),hAPP(hAPP(c_List_Onth(X1),X3),esk467_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))))). 3.26/3.47 cnf(i_0_265, 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)))))). 3.26/3.47 cnf(i_0_7327, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|~class_Rings_Olinordered__idom(X1)|~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),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))))). 3.26/3.47 cnf(i_0_5068, plain, (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X3)),X4)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X2)))|hBOOL(hAPP(X5,hAPP(hAPP(c_List_Ozip(X3,X1),X4),X2))))). 3.26/3.47 cnf(i_0_1785, 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)))))). 3.26/3.47 cnf(i_0_49, plain, (hAPP(c_Divides_Oadjust(X1),c_Divides_OnegDivAlg(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_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))))). 3.26/3.47 cnf(i_0_5956, 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)))))))). 3.26/3.47 cnf(i_0_3371, 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),esk243_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)))). 3.26/3.47 cnf(i_0_3526, 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)))). 3.26/3.47 cnf(i_0_1153, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk87_5(X2,X3,X4,X5,X1)),esk86_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)))))). 3.26/3.47 cnf(i_0_3973, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk291_5(X2,X3,X4,X5,X1)),esk292_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)))))). 3.26/3.47 cnf(i_0_874, 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)))),esk71_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_5707, 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),esk416_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)))). 3.26/3.47 cnf(i_0_2089, 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),esk152_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)))). 3.26/3.47 cnf(i_0_1726, 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),esk124_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)))). 3.26/3.47 cnf(i_0_6165, 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),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=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)))). 3.26/3.47 cnf(i_0_5478, 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)))),esk398_3(X1,X2,X3))))). 3.26/3.47 cnf(i_0_3407, 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),esk246_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)))). 3.26/3.47 cnf(i_0_2905, 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,esk214_6(X3,X5,X4,X6,X2,X1)),esk215_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))))). 3.26/3.47 cnf(i_0_3340, 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,esk240_6(X5,X6,X4,X3,X2,X1)),esk241_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))))). 3.26/3.47 cnf(i_0_6421, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(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)))=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)),X5)),X4))|~class_Groups_Oab__group__add(X1))). 3.26/3.47 cnf(i_0_5878, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(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)))=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)),X5)),X4))|~class_Groups_Ocomm__monoid__add(X1))). 3.26/3.47 cnf(i_0_1772, plain, (c_Map_Omap__upds(X1,X2,X3,hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))),X6)=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(X1,tc_Option_Ooption(X2)),c_Map_Omap__upds(X1,X2,X3,X4,X6)),X5),hAPP(c_Option_Ooption_OSome(X2),hAPP(hAPP(c_List_Onth(X2),X6),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(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(X2)),X6))))). 3.26/3.47 cnf(i_0_5021, 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,esk362_3(X2,X1,X3))),hAPP(X1,esk362_3(X2,X1,X3)))))). 3.26/3.47 cnf(i_0_6116, 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,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)))). 3.26/3.47 cnf(i_0_58, 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)),esk7_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),esk7_4(X3,X4,X2,X1)))),X3))))). 3.26/3.47 cnf(i_0_2866, 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))))). 3.26/3.47 cnf(i_0_3307, 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,esk238_6(X4,X5,X3,X6,X1,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_4690, 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)))). 3.26/3.47 cnf(i_0_2020, 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))). 3.26/3.47 cnf(i_0_6592, 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),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),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)))). 3.26/3.47 cnf(i_0_6495, 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)))). 3.26/3.47 cnf(i_0_4623, 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)))). 3.26/3.47 cnf(i_0_5528, 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)))))))). 3.26/3.47 cnf(i_0_6567, 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),esk467_4(X3,X4,X2,X1))),hAPP(hAPP(c_List_Onth(X1),X4),esk467_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))))). 3.26/3.47 cnf(i_0_4351, plain, (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)))=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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)))|~class_Rings_Osemiring__1(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)))). 3.26/3.47 cnf(i_0_5772, 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))))). 3.26/3.47 cnf(i_0_828, 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)))))))). 3.26/3.47 cnf(i_0_5392, 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)))). 3.26/3.47 cnf(i_0_3482, 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)))))). 3.26/3.47 cnf(i_0_101, plain, (hAPP(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_Option_Ooption_OSome(X2),X7)!=hAPP(hAPP(c_Map_Omap__of(X3,X2),X5),X6)|~c_Fun_Oinj__on(X3,X1,X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))). 3.26/3.47 cnf(i_0_4512, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),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)))|~class_Rings_Oring__1(X1))). 3.26/3.47 cnf(i_0_3981, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Oabs__class_Oabs(X1),X2)),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)))|~class_Rings_Olinordered__idom(X1))). 3.26/3.47 cnf(i_0_680, plain, (hAPP(c_Groups_Oabs__class_Oabs(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),X2),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Olinordered__idom(X1))). 3.26/3.47 cnf(i_0_5107, 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))))))). 3.26/3.47 cnf(i_0_4531, 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))))))). 3.26/3.47 cnf(i_0_153, 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))))))). 3.26/3.47 cnf(i_0_1457, 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)))). 3.26/3.47 cnf(i_0_2748, 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))))). 3.26/3.47 cnf(i_0_5181, plain, (hAPP(c_List_Orev(X1),hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,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)))),X3))=c_List_OtakeWhile(X1,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)))),hAPP(c_List_Orev(X1),X3))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.47 cnf(i_0_1703, 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)))). 3.26/3.47 cnf(i_0_6496, 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))). 3.26/3.47 cnf(i_0_941, 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))))). 3.26/3.47 cnf(i_0_7338, 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)))). 3.26/3.47 cnf(i_0_415, 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)))). 3.26/3.47 cnf(i_0_4624, 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))). 3.26/3.47 cnf(i_0_1886, plain, (hAPP(c_Map_Omap__of(X1,X2),hAPP(hAPP(c_List_Ozip(X1,X2),X3),X4))=hAPP(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)),hAPP(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)),hAPP(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(X2)),X5)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),X4)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),X3))). 3.26/3.47 cnf(i_0_416, 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)))). 3.26/3.47 cnf(i_0_1126, 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)))). 3.26/3.47 cnf(i_0_5109, 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))))). 3.26/3.47 cnf(i_0_3138, plain, (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)))=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)))|~class_Rings_Ocomm__semiring__1(X1))). 3.26/3.47 cnf(i_0_2722, 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,esk193_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)))). 3.26/3.47 cnf(i_0_6444, 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))))). 3.26/3.47 cnf(i_0_5711, 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))))). 3.26/3.47 cnf(i_0_5899, 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))). 3.26/3.47 cnf(i_0_1845, 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)))). 3.26/3.47 cnf(i_0_4728, 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)))). 3.26/3.47 cnf(i_0_4795, 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))))). 3.26/3.47 cnf(i_0_1189, 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)))). 3.26/3.47 cnf(i_0_1822, 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,esk136_4(X4,X1,X3,X2)))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.47 cnf(i_0_1972, 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,esk143_2(X1,X2)))|~hBOOL(hAPP(X1,esk143_2(X1,X2))))). 3.26/3.47 cnf(i_0_6117, 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)))). 3.26/3.47 cnf(i_0_1376, 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)))). 3.26/3.47 cnf(i_0_1210, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=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_Groups_Omonoid__mult(X1))). 3.26/3.47 cnf(i_0_2019, 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)))). 3.26/3.47 cnf(i_0_418, 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)))). 3.26/3.47 cnf(i_0_417, 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)))). 3.26/3.47 cnf(i_0_1973, 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)),esk143_2(X1,X2))))). 3.26/3.47 cnf(i_0_6080, 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)))))). 3.26/3.47 cnf(i_0_3433, plain, (hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk247_5(X2,X3,X4,X5,X1)),esk247_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))))). 3.26/3.47 cnf(i_0_913, 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)))). 3.26/3.47 cnf(i_0_3308, 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),esk238_6(X4,X5,X3,X6,X1,X2)),X6))|~class_Groups_Ocomm__monoid__mult(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X6)))). 3.26/3.47 cnf(i_0_5998, 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))))). 3.26/3.47 cnf(i_0_684, 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))))). 3.26/3.47 cnf(i_0_4848, 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))))). 3.26/3.47 cnf(i_0_1971, 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,esk143_2(X1,X2)))|hBOOL(hAPP(X2,esk143_2(X1,X2))))). 3.26/3.47 cnf(i_0_4453, 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)))). 3.26/3.47 cnf(i_0_6206, 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))). 3.26/3.47 cnf(i_0_3299, plain, (hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(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__mult__class_Osetprod(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__mult__class_Osetprod(X2,X3)),X4)),X6)),X5)|~class_Groups_Ocomm__monoid__mult(X3))). 3.26/3.47 cnf(i_0_5141, 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)),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),hAPP(c_COMBK(tc_fun(X3,tc_HOL_Obool),X1),X5)))|~class_Groups_Ocomm__monoid__add(X2))). 3.26/3.47 cnf(i_0_1164, 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_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))=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_Oring__1(X1))). 3.26/3.47 cnf(i_0_2723, 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),esk193_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)))). 3.26/3.47 cnf(i_0_5651, 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)))). 3.26/3.47 cnf(i_0_2552, 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))). 3.26/3.47 cnf(i_0_1821, 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),esk136_4(X4,X1,X3,X2))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.47 cnf(i_0_1188, 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)))). 3.26/3.47 cnf(i_0_2475, 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)))). 3.26/3.47 cnf(i_0_7399, 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))))). 3.26/3.47 cnf(i_0_6966, 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),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),hAPP(hAPP(c_COMBS(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)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),hAPP(X6,esk493_6(X4,X6,X2,X5,X1,X3))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 3.26/3.47 cnf(i_0_6506, 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_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=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)))|~class_Groups_Omonoid__mult(X1))). 3.26/3.47 cnf(i_0_5413, 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)))). 3.26/3.47 cnf(i_0_4947, 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),esk356_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)))). 3.26/3.47 cnf(i_0_2449, 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))). 3.26/3.47 cnf(i_0_3430, plain, (hAPP(hAPP(c_List_Odrop(X1),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X1)),c_List_OtakeWhile(X1,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)))),hAPP(c_List_Orev(X1),X3)))),hAPP(c_List_Orev(X1),X3))=hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(c_List_Orev(X1),c_List_OtakeWhile(X1,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)))|~hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_List_Oset(X1),X3)))|~hBOOL(hAPP(c_List_Odistinct(X1),X3)))). 3.26/3.47 cnf(i_0_7446, plain, (hBOOL(hAPP(hAPP(X1,esk523_3(X1,X2,X3)),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))),esk524_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk523_3(X1,X2,X3)),esk524_3(X1,X2,X3)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk524_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))))). 3.26/3.47 cnf(i_0_6856, plain, (hBOOL(hAPP(hAPP(hAPP(X1,esk482_4(X1,X2,X3,X4)),esk483_4(X1,X2,X3,X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk484_4(X1,X2,X3,X4))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),esk483_4(X1,X2,X3,X4)),esk484_4(X1,X2,X3,X4)))|hBOOL(hAPP(hAPP(hAPP(X1,X4),X3),X2))|hAPP(esk482_4(X1,X2,X3,X4),esk484_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)))))). 3.26/3.47 cnf(i_0_2483, plain, (c_Enum_Oall__n__lists(X1,hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_HOL_Obool,tc_List_Olist(X1)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_Option_Ooption(X1)),tc_fun(X2,X1),tc_List_Olist(X1)),c_Fun_Ocomp(tc_Option_Ooption(X1),X1,X2,c_Option_Othe(X1))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(X2,X1)),tc_fun(X2,tc_Option_Ooption(X1)),tc_List_Olist(X1)),c_Map_Omap__of(X2,X1)),hAPP(c_List_Ozip(X2,X1),c_Enum_Oenum__class_Oenum(X2))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),c_Enum_Oenum__class_Oenum(X2)))|~class_Enum_Oenum(X1)|~class_Enum_Oenum(X2)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(X2,X1)),X3)))). 3.26/3.47 cnf(i_0_669, plain, (c_Relation_Orefl__on(X1,X2,X3)|hBOOL(hAPP(hAPP(c_member(X1),esk50_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)),esk49_3(X3,X2,X1))))). 3.26/3.47 cnf(i_0_668, 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),esk50_3(X3,X2,X1)),esk50_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)),esk49_3(X3,X2,X1))))). 3.26/3.47 cnf(i_0_6316, plain, (c_Enum_Oex__n__lists(X1,hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_HOL_Obool,tc_List_Olist(X1)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_Option_Ooption(X1)),tc_fun(X2,X1),tc_List_Olist(X1)),c_Fun_Ocomp(tc_Option_Ooption(X1),X1,X2,c_Option_Othe(X1))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(X2,X1)),tc_fun(X2,tc_Option_Ooption(X1)),tc_List_Olist(X1)),c_Map_Omap__of(X2,X1)),hAPP(c_List_Ozip(X2,X1),c_Enum_Oenum__class_Oenum(X2))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),c_Enum_Oenum__class_Oenum(X2)))|~class_Enum_Oenum(X1)|~class_Enum_Oenum(X2)|~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(X2,X1)),X3)))). 3.26/3.47 cnf(i_0_5809, plain, (hAPP(hAPP(c_List_Omap(tc_List_Olist(X1),tc_fun(X2,X1)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_Option_Ooption(X1)),tc_fun(X2,X1),tc_List_Olist(X1)),c_Fun_Ocomp(tc_Option_Ooption(X1),X1,X2,c_Option_Othe(X1))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(X2,X1)),tc_fun(X2,tc_Option_Ooption(X1)),tc_List_Olist(X1)),c_Map_Omap__of(X2,X1)),hAPP(c_List_Ozip(X2,X1),c_Enum_Oenum__class_Oenum(X2))))),c_Enum_On__lists(X1,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(X2)),c_Enum_Oenum__class_Oenum(X2)),c_Enum_Oenum__class_Oenum(X1)))=c_Enum_Oenum__class_Oenum(tc_fun(X2,X1))|~class_Enum_Oenum(X2)|~class_Enum_Oenum(X1))). 3.26/3.47 cnf(i_0_7059, 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)))). 3.26/3.47 cnf(i_0_3808, 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_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))))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__idom(X1))). 3.26/3.47 cnf(i_0_6857, 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)),esk482_4(X1,X2,X3,X4)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),esk483_4(X1,X2,X3,X4)),esk484_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)))))). 3.26/3.47 cnf(i_0_6967, 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),X6))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X1,X3),hAPP(hAPP(c_COMBS(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)|hBOOL(hAPP(hAPP(c_member(X1),esk493_6(X4,X6,X2,X5,X1,X3)),X5))|~class_Groups_Ocomm__monoid__add(X3)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X5)))). 3.26/3.47 cnf(i_0_7035, 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)))). 3.26/3.47 cnf(i_0_3293, 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_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))))))|~class_Rings_Olinordered__idom(X1))). 3.26/3.47 cnf(i_0_7032, plain, (hBOOL(hAPP(hAPP(X1,esk495_3(X1,X2,X3)),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))),esk496_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),esk496_3(X1,X2,X3)),esk495_3(X1,X2,X3))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),esk496_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))))). 3.26/3.47 cnf(i_0_5958, 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),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))))))|~class_Rings_Olinordered__idom(X2))). 3.26/3.47 cnf(i_0_5957, 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_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))))))|~class_Rings_Olinordered__idom(X2))). 3.26/3.47 cnf(i_0_5914, 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(X2)|~class_Smallcheck_Osmall(X1))). 3.26/3.47 cnf(i_0_6475, 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)),esk457_4(X4,X3,X2,X1))))). 3.26/3.47 cnf(i_0_511, 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,esk33_11(X7,X5,X3,X6,X1,X9,X11,X4,X8,X10,X2)),esk34_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))))). 3.26/3.47 cnf(i_0_7326, 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_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))))),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Olinordered__idom(X1))). 3.26/3.47 cnf(i_0_4967, 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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),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)))). 3.26/3.47 cnf(i_0_666, 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_Oplus__class_Oplus(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),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))=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)))). 3.26/3.47 cnf(i_0_3611, 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)))). 3.26/3.47 cnf(i_0_20, 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),hAPP(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))))). 3.26/3.47 cnf(i_0_513, 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),esk33_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))))). 3.26/3.47 cnf(i_0_512, 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),esk34_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))))). 3.26/3.47 cnf(i_0_5527, 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))))). 3.26/3.47 cnf(i_0_829, 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))))). 3.26/3.47 cnf(i_0_5106, 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))))). 3.26/3.47 cnf(i_0_4530, 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))))). 3.26/3.47 cnf(i_0_3818, 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)))). 3.26/3.47 cnf(i_0_3253, 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,esk235_6(X4,X5,X3,X6,X2,X1))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 3.26/3.47 cnf(i_0_3323, plain, (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))),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 3.26/3.47 cnf(i_0_6531, 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_Oplus__class_Oplus(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),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))=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))))). 3.26/3.47 cnf(i_0_5028, 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)))). 3.26/3.47 cnf(i_0_6635, 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)))). 3.26/3.47 cnf(i_0_4115, 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)))). 3.26/3.47 cnf(i_0_5283, 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)))). 3.26/3.47 cnf(i_0_1811, 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)))))). 3.26/3.47 cnf(i_0_749, 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),hAPP(hAPP(c_COMBB(X1,X1,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(X1),X2)),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))),X3))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),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),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X3))))|~class_Rings_Ocomm__semiring__1(X1))). 3.26/3.47 cnf(i_0_152, 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))). 3.26/3.47 cnf(i_0_6738, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X2)))|~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,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)),tc_Com_Ostate),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)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(X2))))),c_fequal))),X2),c_fequal)))|~c_Hoare__Mirabelle_Ostate__not__singleton)). 3.26/3.47 cnf(i_0_1442, 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)))). 3.26/3.47 cnf(i_0_6011, 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)))). 3.26/3.47 cnf(i_0_6430, 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,esk451_4(X1,X3,X4,X2))))). 3.26/3.47 cnf(i_0_2476, 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))). 3.26/3.47 cnf(i_0_6245, 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))). 3.26/3.47 cnf(i_0_4968, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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))),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))=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),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),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)))). 3.26/3.47 cnf(i_0_6790, 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)))). 3.26/3.47 cnf(i_0_673, 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)))). 3.26/3.47 cnf(i_0_2640, 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))). 3.26/3.47 cnf(i_0_2673, 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__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(X2,X1),X6),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X4),X5)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(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)|~class_Groups_Ocomm__monoid__add(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)))). 3.26/3.47 cnf(i_0_2938, 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)))). 3.26/3.47 cnf(i_0_2131, 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)))). 3.26/3.47 cnf(i_0_3254, 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),esk235_6(X4,X5,X3,X6,X2,X1)),X6))|~class_Groups_Ocomm__monoid__mult(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X6)))). 3.26/3.47 cnf(i_0_6429, 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,esk451_4(X1,X3,X4,X2)))),hAPP(X4,esk451_4(X1,X3,X4,X2)))))). 3.26/3.47 cnf(i_0_6767, 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))). 3.26/3.47 cnf(i_0_6197, plain, (c_Hilbert__Choice_OEps(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),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(hAPP(c_COMBB(X3,tc_fun(X1,tc_HOL_Obool),X1),hAPP(c_COMBC(X1,X3,tc_HOL_Obool),hAPP(hAPP(c_COMBB(X3,tc_fun(X3,tc_HOL_Obool),X1),c_Orderings_Oord__class_Oless__eq(X3)),X4))),X4))))))=hAPP(c_Hilbert__Choice_OGreatestM(X1,X3,X4),X2)|~class_Orderings_Oord(X3))). 3.26/3.47 cnf(i_0_4569, 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)))). 3.26/3.47 cnf(i_0_1304, 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)))). 3.26/3.47 cnf(i_0_3322, 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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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))). 3.26/3.47 cnf(i_0_2976, 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),esk222_3(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1,X2)))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))). 3.26/3.47 cnf(i_0_1934, 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))). 3.26/3.47 cnf(i_0_3527, 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))). 3.26/3.47 cnf(i_0_2978, 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)|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),esk222_3(X3,X1,X2)))!=X3)). 3.26/3.47 cnf(i_0_2977, 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),esk222_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))))). 3.26/3.47 cnf(i_0_2571, 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),esk177_6(X2,X5,X3,X1,X6,X4)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_2979, 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)|X2=c_List_Olist_ONil(tc_List_Olist(X1))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk222_3(X3,X1,X2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(X1))),X2))))). 3.26/3.47 cnf(i_0_3964, 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),esk290_6(X1,X5,X3,X2,X6,X4)),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3)))). 3.26/3.47 cnf(i_0_5391, 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))))). 3.26/3.47 cnf(i_0_4727, 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))))). 3.26/3.47 cnf(i_0_1844, 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))))). 3.26/3.47 cnf(i_0_2551, 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))))). 3.26/3.47 cnf(i_0_6359, 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)))). 3.26/3.47 cnf(i_0_4196, 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_Oplus__class_Oplus(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),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))=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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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)))). 3.26/3.47 cnf(i_0_2511, 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_Oplus__class_Oplus(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),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))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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))),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))))). 3.26/3.47 cnf(i_0_2972, 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)))). 3.26/3.47 cnf(i_0_2450, 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))))). 3.26/3.47 cnf(i_0_5723, 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)))). 3.26/3.47 cnf(i_0_4778, 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))))). 3.26/3.47 cnf(i_0_4754, 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)))). 3.26/3.47 cnf(i_0_341, plain, (c_Hilbert__Choice_OEps(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),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(hAPP(c_COMBC(X1,tc_fun(X1,X3),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_HOL_Obool),tc_fun(tc_fun(X1,X3),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBB(X3,tc_HOL_Obool,X1)),hAPP(hAPP(c_COMBB(X3,tc_fun(X3,tc_HOL_Obool),X1),c_Orderings_Oord__class_Oless__eq(X3)),X4))),X4))))))=c_Hilbert__Choice_OLeastM(X1,X3,X4,X2)|~class_Orderings_Oord(X3))). 3.26/3.47 cnf(i_0_247, plain, (c_Lazy__Sequence_Oappend(tc_List_Olist(X1),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(X1))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(X1,tc_List_Olist(X1)),tc_List_Olist(X1),c_Lazy__Sequence_Oproduct(X1,tc_List_Olist(X1),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(X1,tc_List_Olist(X1),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(X1))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(X1))),X1),hAPP(c_COMBB(tc_List_Olist(X1),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(X1)),tc_List_Olist(X1)),c_Lazy__Sequence_Osingle(tc_List_Olist(X1)))),c_List_Olist_OCons(X1))))),c_Lazy__Sequence_Oempty(tc_List_Olist(X1))))=c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(X1),X2)|~class_Lazy__Sequence_Osmall__lazy(X1))). 3.26/3.47 cnf(i_0_3294, 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)))). 3.26/3.47 cnf(i_0_3963, 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),esk290_6(X1,X5,X3,X2,X6,X4))))!=X1|~hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6)))). 3.26/3.47 cnf(i_0_3695, 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_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)))). 3.26/3.47 cnf(i_0_3356, 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)))). 3.26/3.47 cnf(i_0_2570, 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,esk177_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),esk177_6(X2,X5,X3,X1,X6,X4))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X6))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_6405, 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_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))))),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_225, 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_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))))),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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),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_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Int_Onumber__ring(X1))). 3.26/3.47 cnf(i_0_3752, 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)))). 3.26/3.47 cnf(i_0_3612, 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)))))))). 3.26/3.47 cnf(i_0_2889, 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)))). 3.26/3.47 cnf(i_0_731, 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)))). 3.26/3.47 cnf(i_0_1192, plain, (c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,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)),tc_Com_Ostate),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)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(X2))))),c_fequal))),X2),c_fequal)))|~c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X2))))). 3.26/3.47 cnf(i_0_6478, 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)))))). 3.26/3.47 cnf(i_0_252, 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)))). 3.26/3.47 cnf(i_0_7065, 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)))). 3.26/3.47 cnf(i_0_5411, 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)))). 3.26/3.47 cnf(i_0_3793, 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,esk275_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X5,esk275_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X6,esk275_9(X6,X4,X9,X5,X8,X2,X1,X7,X3)))))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X7)))). 3.26/3.47 cnf(i_0_6010, 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))))). 3.26/3.47 cnf(i_0_6791, 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))))). 3.26/3.47 cnf(i_0_7526, 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)))). 3.26/3.47 cnf(i_0_3097, 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)))). 3.26/3.47 cnf(i_0_6136, 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))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)))). 3.26/3.47 cnf(i_0_3794, 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,esk275_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X5,esk275_9(X6,X4,X9,X5,X8,X2,X1,X7,X3))),hAPP(X9,esk275_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)))). 3.26/3.47 cnf(i_0_5732, 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)),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))),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)),hAPP(c_COMBC(X1,X3,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))),hAPP(c_COMBC(X1,X3,tc_HOL_Obool),X6))))),X5)|~class_Groups_Ocomm__monoid__add(X2)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X5))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X7)))). 3.26/3.47 cnf(i_0_5287, 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))))),hAPP(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(hAPP(c_Lazy__Sequence_Oanamorph(X2,X1,X4),X5),X3)|X5=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))). 3.26/3.47 cnf(i_0_4779, 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)))). 3.26/3.47 cnf(i_0_3696, plain, (hBOOL(hAPP(hAPP(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))))). 3.26/3.47 cnf(i_0_3355, 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))))). 3.26/3.47 cnf(i_0_3751, 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))))). 3.26/3.47 cnf(i_0_6821, 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_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(c_Int_Oring__1__class_Oof__int(X1),X2)|c_Groups_Ozero__class_Ozero(tc_Int_Oint)=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))). 3.26/3.47 cnf(i_0_5450, 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))). 3.26/3.47 cnf(i_0_5703, 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))=X2|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))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_4402, 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))=X2|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X3|~class_Lattices_Odistrib__lattice(X1)|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)))). 3.26/3.47 cnf(i_0_5862, 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))). 3.26/3.47 cnf(i_0_812, 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)))). 3.26/3.47 cnf(i_0_6884, 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))=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)))). 3.26/3.47 cnf(i_0_5418, 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))))). 3.26/3.47 cnf(i_0_949, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(X1,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),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_fun(X1,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(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_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_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),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_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),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(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_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,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_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),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)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),X2))))))))),X3)))). 3.26/3.47 cnf(i_0_950, plain, (hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(X1,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),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_fun(X1,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,X1),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(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_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_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),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_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),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(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_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(X1,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,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_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),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)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),X2))))))))),X3))|~c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3))). 3.26/3.47 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 3.26/3.47 # Begin printing tableau 3.26/3.47 # Found 3 steps 3.26/3.47 cnf(i_0_2354, negated_conjecture, (~hBOOL(hAPP(c_Com_OWT,v_y))), inference(start_rule)). 3.26/3.47 cnf(i_0_8120, plain, (~hBOOL(hAPP(c_Com_OWT,v_y))), inference(extension_rule, [i_0_1708])). 3.26/3.47 cnf(i_0_8351, plain, (hAPP(c_Com_Obody,v_pn)!=hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)), inference(closure_rule, [i_0_3259])). 3.26/3.47 # End printing tableau 3.26/3.47 # SZS output end 3.26/3.47 # Branches closed with saturation will be marked with an "s" 3.26/3.47 # Returning from population with 15 new_tableaux and 0 remaining starting tableaux. 3.26/3.47 # We now have 15 tableaux to operate on 3.26/3.47 # Found closed tableau during pool population. 3.26/3.48 # Proof search is over... 3.26/3.48 # Freeing feature tree 3.26/3.49 EOF