TSTP Solution File: SCT097-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SCT097-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 21:24:37 EDT 2022
% Result : Unsatisfiable 4.99s 1.23s
% Output : CNFRefutation 4.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SCT097-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.31 % Computer : n023.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 600
% 0.13/0.31 % DateTime : Fri Jul 1 22:59:58 EDT 2022
% 0.17/0.31 % CPUTime :
% 0.41/0.59 # No SInE strategy applied
% 0.41/0.59 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.41/0.59 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.41/0.59 #
% 0.41/0.59 # Presaturation interreduction done
% 0.41/0.59 # Number of axioms: 1341 Number of unprocessed: 1158
% 0.41/0.59 # Tableaux proof search.
% 0.41/0.59 # APR header successfully linked.
% 0.41/0.59 # Hello from C++
% 0.47/0.65 # The folding up rule is enabled...
% 0.47/0.65 # Local unification is enabled...
% 0.47/0.65 # Any saturation attempts will use folding labels...
% 0.47/0.65 # 1158 beginning clauses after preprocessing and clausification
% 0.47/0.65 # Creating start rules for all 1 conjectures.
% 0.47/0.65 # There are 1 start rule candidates:
% 0.47/0.65 # Found 177 unit axioms.
% 0.47/0.65 # 1 start rule tableaux created.
% 0.47/0.65 # 981 extension rule candidate clauses
% 0.47/0.65 # 177 unit axiom clauses
% 0.47/0.65
% 0.47/0.65 # Requested 8, 32 cores available to the main process.
% 0.47/0.65 # There are not enough tableaux to fork, creating more from the initial 1
% 0.47/0.65 # Returning from population with 88 new_tableaux and 0 remaining starting tableaux.
% 0.47/0.65 # We now have 88 tableaux to operate on
% 4.99/1.23 # There were 1 total branch saturation attempts.
% 4.99/1.23 # There were 0 of these attempts blocked.
% 4.99/1.23 # There were 0 deferred branch saturation attempts.
% 4.99/1.23 # There were 0 free duplicated saturations.
% 4.99/1.23 # There were 1 total successful branch saturations.
% 4.99/1.23 # There were 0 successful branch saturations in interreduction.
% 4.99/1.23 # There were 0 successful branch saturations on the branch.
% 4.99/1.23 # There were 1 successful branch saturations after the branch.
% 4.99/1.23 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.99/1.23 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.99/1.23 # Begin clausification derivation
% 4.99/1.23
% 4.99/1.23 # End clausification derivation
% 4.99/1.23 # Begin listing active clauses obtained from FOF to CNF conversion
% 4.99/1.23 cnf(i_0_2647, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 4.99/1.23 cnf(i_0_2652, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2677, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 4.99/1.23 cnf(i_0_2646, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 4.99/1.23 cnf(i_0_2635, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 4.99/1.23 cnf(i_0_2684, plain, (class_Orderings_Obot(tc_bool))).
% 4.99/1.23 cnf(i_0_2671, plain, (class_Orderings_Obot(tc_nat))).
% 4.99/1.23 cnf(i_0_2638, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))).
% 4.99/1.23 cnf(i_0_2644, plain, (class_Ring__and__Field_Oordered__semiring(tc_nat))).
% 4.99/1.23 cnf(i_0_2661, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 4.99/1.23 cnf(i_0_2666, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 4.99/1.23 cnf(i_0_2649, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 4.99/1.23 cnf(i_0_2640, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2645, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 4.99/1.23 cnf(i_0_2681, plain, (class_Lattices_Olattice(tc_bool))).
% 4.99/1.23 cnf(i_0_2669, plain, (class_Lattices_Olattice(tc_nat))).
% 4.99/1.23 cnf(i_0_2675, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 4.99/1.23 cnf(i_0_2655, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 4.99/1.23 cnf(i_0_2678, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 4.99/1.23 cnf(i_0_2657, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 4.99/1.23 cnf(i_0_2672, plain, (class_Power_Opower(tc_nat))).
% 4.99/1.23 cnf(i_0_2668, plain, (class_Orderings_Olinorder(tc_nat))).
% 4.99/1.23 cnf(i_0_2639, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2676, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 4.99/1.23 cnf(i_0_2662, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 4.99/1.23 cnf(i_0_2674, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 4.99/1.23 cnf(i_0_2654, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 4.99/1.23 cnf(i_0_2650, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2653, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 4.99/1.23 cnf(i_0_2659, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 4.99/1.23 cnf(i_0_2682, plain, (class_Orderings_Oorder(tc_bool))).
% 4.99/1.23 cnf(i_0_2670, plain, (class_Orderings_Oorder(tc_nat))).
% 4.99/1.23 cnf(i_0_2663, plain, (class_Ring__and__Field_Osemiring(tc_nat))).
% 4.99/1.23 cnf(i_0_2637, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))).
% 4.99/1.23 cnf(i_0_2641, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2642, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2683, plain, (class_Orderings_Otop(tc_bool))).
% 4.99/1.23 cnf(i_0_2660, plain, (class_Ring__and__Field_Omult__mono(tc_nat))).
% 4.99/1.23 cnf(i_0_2658, plain, (class_Ring__and__Field_Omult__mono1(tc_nat))).
% 4.99/1.23 cnf(i_0_2679, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))).
% 4.99/1.23 cnf(i_0_2680, plain, (class_Orderings_Opreorder(tc_bool))).
% 4.99/1.23 cnf(i_0_2667, plain, (class_Orderings_Opreorder(tc_nat))).
% 4.99/1.23 cnf(i_0_2643, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))).
% 4.99/1.23 cnf(i_0_2664, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2648, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 4.99/1.23 cnf(i_0_2651, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))).
% 4.99/1.23 cnf(i_0_2636, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))).
% 4.99/1.23 cnf(i_0_2634, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 4.99/1.23 cnf(i_0_2685, plain, (class_HOL_Oord(tc_bool))).
% 4.99/1.23 cnf(i_0_2673, plain, (class_HOL_Oord(tc_nat))).
% 4.99/1.23 cnf(i_0_2656, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 4.99/1.23 cnf(i_0_2665, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 4.99/1.23 cnf(i_0_1907, plain, (c_lessequals(X1,X1,tc_nat))).
% 4.99/1.23 cnf(i_0_2456, plain, (c_Relation_Osym(c_Relation_OId(X1),X1))).
% 4.99/1.23 cnf(i_0_2489, plain, (c_Relation_Oantisym(c_Relation_OId(X1),X1))).
% 4.99/1.23 cnf(i_0_1767, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 4.99/1.23 cnf(i_0_2689, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 4.99/1.23 cnf(i_0_1644, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 4.99/1.23 cnf(i_0_2475, plain, (c_Relation_Osym(c_Relation_OId__on(X1,X2),X2))).
% 4.99/1.23 cnf(i_0_2514, plain, (c_Wellfounded_Owf(c_Wellfounded_Omeasure(X1,X2),X2))).
% 4.99/1.23 cnf(i_0_2459, plain, (c_Relation_Oantisym(c_Relation_OId__on(X1,X2),X2))).
% 4.99/1.23 cnf(i_0_1585, plain, (c_Relation_Osingle__valued(c_Relation_OId(X1),X1,X1))).
% 4.99/1.23 cnf(i_0_1422, plain, (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))).
% 4.99/1.23 cnf(i_0_1910, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1887, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 4.99/1.23 cnf(i_0_2144, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))))).
% 4.99/1.23 cnf(i_0_1562, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 4.99/1.23 cnf(i_0_1964, plain, (c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 4.99/1.23 cnf(i_0_2481, plain, (c_Relation_Oconverse(c_Relation_OId(X1),X1,X1)=c_Relation_OId(X1))).
% 4.99/1.23 cnf(i_0_2476, plain, (c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2))).
% 4.99/1.23 cnf(i_0_1819, plain, (c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1))).
% 4.99/1.23 cnf(i_0_1853, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 4.99/1.23 cnf(i_0_2006, plain, (c_Relation_Osingle__valued(c_Relation_OId__on(X1,X2),X2,X2))).
% 4.99/1.23 cnf(i_0_2468, plain, (c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2)=X1)).
% 4.99/1.23 cnf(i_0_2466, plain, (c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1)=X2)).
% 4.99/1.23 cnf(i_0_2516, plain, (c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 4.99/1.23 cnf(i_0_1836, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1387, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_2311, plain, (c_Relation_ODomain(c_Relation_OId(X1),X1,X1)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_2313, plain, (c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Relation_OId(X1),X1))).
% 4.99/1.23 cnf(i_0_1860, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_1624, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_1633, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 4.99/1.23 cnf(i_0_1498, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 4.99/1.23 cnf(i_0_1632, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 4.99/1.23 cnf(i_0_1497, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 4.99/1.23 cnf(i_0_2494, plain, (c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2)=X1)).
% 4.99/1.23 cnf(i_0_2458, plain, (c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2)=X1)).
% 4.99/1.23 cnf(i_0_2010, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2))=X2)).
% 4.99/1.23 cnf(i_0_2457, plain, (c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3)=X2)).
% 4.99/1.23 cnf(i_0_2487, plain, (c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2)=c_Relation_OId__on(X1,X2))).
% 4.99/1.23 cnf(i_0_2304, plain, (c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_2147, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 4.99/1.23 cnf(i_0_2307, plain, (c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Transitive__Closure_Ortrancl(X2,X1),X1))).
% 4.99/1.23 cnf(i_0_1417, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1353, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1381, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1354, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_1382, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_1374, plain, (c_Relation_OImage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2059, plain, (c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1727, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1728, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1833, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1385, plain, (c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1832, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1518, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1372, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_1760, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_2612, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 4.99/1.23 cnf(i_0_2504, plain, (c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2)=c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2))).
% 4.99/1.23 cnf(i_0_2613, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 4.99/1.23 cnf(i_0_2314, plain, (c_Relation_OImage(c_Relation_OId__on(X1,X2),X3,X2,X2)=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_2543, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X2,X1,X1)),c_Relation_OId(X1))))).
% 4.99/1.23 cnf(i_0_2305, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool))=c_Transitive__Closure_Ortrancl(X1,X2))).
% 4.99/1.23 cnf(i_0_2306, plain, (c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 4.99/1.23 cnf(i_0_2310, plain, (c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 4.99/1.23 cnf(i_0_2499, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 4.99/1.23 cnf(i_0_2515, plain, (c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 4.99/1.23 cnf(i_0_1863, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1947, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2525, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X2,X1,X1)),c_Transitive__Closure_Ortrancl(X3,X1))))).
% 4.99/1.23 cnf(i_0_2478, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2)=c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2))).
% 4.99/1.23 cnf(i_0_1501, plain, (c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1))).
% 4.99/1.23 cnf(i_0_1400, plain, (c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)))).
% 4.99/1.23 cnf(i_0_1401, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2452, plain, (c_Relation_ODomain(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2)=c_Relation_ODomain(X1,X2,X2))).
% 4.99/1.23 cnf(i_0_1485, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1615, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1379, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))))).
% 4.99/1.23 cnf(i_0_1378, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 4.99/1.23 cnf(i_0_2377, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool))=c_Transitive__Closure_Ortrancl(X2,X1))).
% 4.99/1.23 cnf(i_0_1362, plain, (c_Relation_ODomain(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4)=c_Set_Oinsert(X1,c_Relation_ODomain(X5,X3,X4),X3))).
% 4.99/1.23 cnf(i_0_2474, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X5,X2),X3,X2,X5)=c_Relation_Oconverse(c_Relation_Orel__comp(X4,X1,X5,X2,X3),X5,X3))).
% 4.99/1.23 cnf(i_0_2471, plain, (c_Relation_ODomain(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2,X2)=c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2))).
% 4.99/1.23 cnf(i_0_1940, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X4,X2,X3),tc_fun(X2,tc_bool))=c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3))).
% 4.99/1.23 cnf(i_0_1932, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))))).
% 4.99/1.23 cnf(i_0_1950, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))).
% 4.99/1.23 cnf(i_0_1959, plain, (c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 4.99/1.23 cnf(i_0_1822, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X2,X3),tc_fun(tc_prod(X3,X2),tc_bool))=c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3))).
% 4.99/1.23 cnf(i_0_2485, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2),X2,X2,X2)=c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2))).
% 4.99/1.23 cnf(i_0_1576, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 4.99/1.23 cnf(i_0_2120, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))=c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X4,tc_bool)),X3,X4))).
% 4.99/1.23 cnf(i_0_1955, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))=c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X4,tc_bool)),X3,X4))).
% 4.99/1.23 cnf(i_0_1550, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1851, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1549, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1575, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X2,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool)),X2,X3,X4))).
% 4.99/1.23 cnf(i_0_1852, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1976, plain, (c_Relation_ODomain(c_Relation_Oconverse(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4),X4,X3)=c_Set_Oinsert(X2,c_Relation_ODomain(c_Relation_Oconverse(X5,X3,X4),X4,X3),X4))).
% 4.99/1.23 cnf(i_0_1779, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X2,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(X3,tc_bool)),X2,X3,X4))).
% 4.99/1.23 cnf(i_0_2303, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))=c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2))).
% 4.99/1.23 cnf(i_0_2375, plain, (c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 4.99/1.23 cnf(i_0_1805, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X1,X6,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))=c_Relation_Orel__comp(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X6,tc_fun(tc_prod(X4,X5),tc_bool)),X3,X4,X5))).
% 4.99/1.23 cnf(i_0_1804, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X2,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))=c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)),X2,X3,X4,X5))).
% 4.99/1.23 cnf(i_0_1404, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.23 cnf(i_0_1444, plain, (c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 4.99/1.23 cnf(i_0_1751, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1737, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1929, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2614, plain, (hAPP(c_COMBS(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),hAPP(X2,X6)))).
% 4.99/1.23 cnf(i_0_1583, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 4.99/1.23 cnf(i_0_2484, plain, (c_Relation_Oconverse(c_Relation_Oinv__image(X1,X2,X3,X4),X4,X4)=c_Relation_Oinv__image(c_Relation_Oconverse(X1,X3,X3),X2,X3,X4))).
% 4.99/1.23 cnf(i_0_1770, plain, (c_Set_Ovimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X4,X2)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),c_Set_Ovimage(X1,X3,X4,X2)))).
% 4.99/1.23 cnf(i_0_1486, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 4.99/1.23 cnf(i_0_1614, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 4.99/1.23 cnf(i_0_2483, plain, (c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X3,X5,X7)=c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X6,X4,X5,X7),X3,X4,X7))).
% 4.99/1.23 cnf(i_0_1628, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_2601, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)))).
% 4.99/1.23 cnf(i_0_2206, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))))).
% 4.99/1.23 cnf(i_0_1627, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 4.99/1.23 cnf(i_0_2138, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 4.99/1.23 cnf(i_0_1380, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2588, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,X3),X1))))).
% 4.99/1.23 cnf(i_0_2605, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,X3),X2))))).
% 4.99/1.23 cnf(i_0_2620, negated_conjecture, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))))).
% 4.99/1.23 cnf(i_0_2618, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))))).
% 4.99/1.23 cnf(i_0_2467, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 4.99/1.23 cnf(i_0_2505, plain, (c_Relation_Osym(X1,X2)|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 4.99/1.23 cnf(i_0_2263, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.23 cnf(i_0_1740, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Owf(X1,X2))).
% 4.99/1.23 cnf(i_0_2449, plain, (c_Finite__Set_Ofinite(X1,X2)|~class_Finite__Set_Ofinite_Ofinite(X2))).
% 4.99/1.23 cnf(i_0_1645, plain, (c_Finite__Set_Ocard(X1,X2)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Finite__Set_Ofinite(X1,X2))).
% 4.99/1.23 cnf(i_0_2502, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_1673, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_1643, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 4.99/1.23 cnf(i_0_1703, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 4.99/1.23 cnf(i_0_1915, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 4.99/1.23 cnf(i_0_1916, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 4.99/1.23 cnf(i_0_2599, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 4.99/1.23 cnf(i_0_2600, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 4.99/1.23 cnf(i_0_1702, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 4.99/1.23 cnf(i_0_2598, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 4.99/1.23 cnf(i_0_2625, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_2632, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 4.99/1.23 cnf(i_0_2629, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 4.99/1.23 cnf(i_0_2690, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 4.99/1.23 cnf(i_0_2611, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 4.99/1.23 cnf(i_0_2204, plain, (c_lessequals(X1,X2,tc_nat)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.99/1.23 cnf(i_0_2276, plain, (hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 4.99/1.23 cnf(i_0_2623, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 4.99/1.23 cnf(i_0_2626, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 4.99/1.23 cnf(i_0_2624, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 4.99/1.23 cnf(i_0_2622, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 4.99/1.23 cnf(i_0_2203, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)))).
% 4.99/1.23 cnf(i_0_2630, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 4.99/1.23 cnf(i_0_2631, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 4.99/1.23 cnf(i_0_2628, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 4.99/1.23 cnf(i_0_2633, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 4.99/1.23 cnf(i_0_2450, plain, (c_Relation_Osym(X1,X2)|~c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2))).
% 4.99/1.23 cnf(i_0_1420, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2))).
% 4.99/1.23 cnf(i_0_1651, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2))).
% 4.99/1.23 cnf(i_0_2610, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 4.99/1.23 cnf(i_0_2493, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_1705, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_2500, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2))).
% 4.99/1.23 cnf(i_0_2470, plain, (c_Relation_Osym(X1,X2)|c_Relation_Oconverse(X1,X2,X2)!=X1)).
% 4.99/1.23 cnf(i_0_1938, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 4.99/1.23 cnf(i_0_2627, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 4.99/1.23 cnf(i_0_2621, plain, (class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 4.99/1.23 cnf(i_0_1598, plain, (c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(X1,X2))))).
% 4.99/1.23 cnf(i_0_1972, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 4.99/1.23 cnf(i_0_1846, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oordered__ab__group__add(X1))).
% 4.99/1.23 cnf(i_0_1752, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_1505, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_1714, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_1654, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 4.99/1.23 cnf(i_0_1973, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 4.99/1.23 cnf(i_0_2465, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2))).
% 4.99/1.23 cnf(i_0_1886, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 4.99/1.23 cnf(i_0_1563, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 4.99/1.23 cnf(i_0_2461, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3))).
% 4.99/1.23 cnf(i_0_2455, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2199, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~c_lessequals(X1,X2,tc_nat))).
% 4.99/1.23 cnf(i_0_1859, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.23 cnf(i_0_2510, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3))).
% 4.99/1.23 cnf(i_0_1724, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1665, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 4.99/1.23 cnf(i_0_2463, plain, (c_Relation_Osym(c_Transitive__Closure_Ortrancl(X1,X2),X2)|~c_Relation_Osym(X1,X2))).
% 4.99/1.23 cnf(i_0_2146, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 4.99/1.23 cnf(i_0_1623, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.23 cnf(i_0_2309, plain, (c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(X1,X2),X2)|~c_Wellfounded_Oacyclic(X1,X2))).
% 4.99/1.23 cnf(i_0_1996, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)!=X1|~class_OrderedGroup_Oordered__ab__group__add(X2))).
% 4.99/1.23 cnf(i_0_1837, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)|~class_Orderings_Otop(X2))).
% 4.99/1.23 cnf(i_0_1386, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 4.99/1.23 cnf(i_0_1630, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_2186, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~c_lessequals(X3,X2,X1))).
% 4.99/1.23 cnf(i_0_2190, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~c_lessequals(X3,X2,X1))).
% 4.99/1.23 cnf(i_0_1507, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 4.99/1.23 cnf(i_0_1631, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 4.99/1.23 cnf(i_0_1708, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 4.99/1.23 cnf(i_0_1494, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2))).
% 4.99/1.23 cnf(i_0_1493, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2))).
% 4.99/1.23 cnf(i_0_2469, plain, (c_Relation_Oconverse(X1,X2,X2)=X1|~c_Relation_Osym(X1,X2))).
% 4.99/1.23 cnf(i_0_1648, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2))).
% 4.99/1.23 cnf(i_0_1701, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1818, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_1656, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_2583, plain, (X1=X2|c_Pair(X3,X1,X4,X5)!=c_Pair(X6,X2,X4,X5))).
% 4.99/1.23 cnf(i_0_2075, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 4.99/1.23 cnf(i_0_2024, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Finite__Set_Ocard(X1,X2)!=c_HOL_Ozero__class_Ozero(tc_nat)|~c_Finite__Set_Ofinite(X1,X2))).
% 4.99/1.23 cnf(i_0_2579, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 4.99/1.23 cnf(i_0_2580, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 4.99/1.23 cnf(i_0_2577, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 4.99/1.23 cnf(i_0_2028, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 4.99/1.23 cnf(i_0_2584, plain, (X1=X2|c_Pair(X1,X3,X4,X5)!=c_Pair(X2,X6,X4,X5))).
% 4.99/1.23 cnf(i_0_1756, plain, (X1=X2|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X1),X2)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 4.99/1.23 cnf(i_0_1755, plain, (X1=X2|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X1),X2)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 4.99/1.23 cnf(i_0_1802, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_1669, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 4.99/1.23 cnf(i_0_1965, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 4.99/1.23 cnf(i_0_1503, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_1801, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_1504, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_1579, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 4.99/1.23 cnf(i_0_2154, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 4.99/1.23 cnf(i_0_1780, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 4.99/1.23 cnf(i_0_1364, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 4.99/1.23 cnf(i_0_1435, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.23 cnf(i_0_2451, plain, (c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Relation_Osym(X1,X2))).
% 4.99/1.23 cnf(i_0_1421, plain, (c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 4.99/1.23 cnf(i_0_2490, plain, (c_Wellfounded_Owf(c_Wellfounded_Omlex__prod(X1,X2,X3),X3)|~c_Wellfounded_Owf(X2,X3))).
% 4.99/1.23 cnf(i_0_1652, plain, (c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Wellfounded_Oacyclic(X1,X2))).
% 4.99/1.23 cnf(i_0_2262, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.99/1.23 cnf(i_0_2503, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oone__class_Oone(X1)))|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.99/1.23 cnf(i_0_1799, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1800, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_2176, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2)))).
% 4.99/1.23 cnf(i_0_1436, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_1495, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_2501, plain, (c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Relation_Oantisym(X1,X2))).
% 4.99/1.23 cnf(i_0_1809, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 4.99/1.23 cnf(i_0_1808, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 4.99/1.23 cnf(i_0_1496, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 4.99/1.23 cnf(i_0_2175, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2)))).
% 4.99/1.23 cnf(i_0_2512, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 4.99/1.23 cnf(i_0_1547, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))))).
% 4.99/1.23 cnf(i_0_1894, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 4.99/1.23 cnf(i_0_1895, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 4.99/1.23 cnf(i_0_2592, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1)))).
% 4.99/1.23 cnf(i_0_2013, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_1817, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 4.99/1.23 cnf(i_0_1647, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)|~class_OrderedGroup_Ogroup__add(X3))).
% 4.99/1.23 cnf(i_0_1646, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)|~class_Lattices_Oboolean__algebra(X3))).
% 4.99/1.23 cnf(i_0_2486, 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))).
% 4.99/1.23 cnf(i_0_1791, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),c_HOL_Oone__class_Oone(X1))=X2|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.23 cnf(i_0_1474, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 4.99/1.23 cnf(i_0_1475, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 4.99/1.23 cnf(i_0_2535, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X3,X3,X2,X2)),X1)))).
% 4.99/1.23 cnf(i_0_1525, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Oone__class_Oone(X1))=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_1725, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 4.99/1.23 cnf(i_0_1723, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_1666, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_1664, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 4.99/1.23 cnf(i_0_1521, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oone__class_Oone(X1)),X2)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_2221, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.23 cnf(i_0_2031, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1913, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 4.99/1.23 cnf(i_0_1814, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3))).
% 4.99/1.23 cnf(i_0_1816, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3))).
% 4.99/1.23 cnf(i_0_1754, plain, (X1=X2|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X1),X2)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 4.99/1.23 cnf(i_0_1459, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 4.99/1.23 cnf(i_0_1473, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 4.99/1.23 cnf(i_0_2615, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,X3),X2))))).
% 4.99/1.23 cnf(i_0_2603, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,X3),X1))))).
% 4.99/1.23 cnf(i_0_2018, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_2479, plain, (c_Relation_Osym(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Relation_Osym(X1,X3))).
% 4.99/1.23 cnf(i_0_2477, plain, (c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Wellfounded_Owf(X1,X3))).
% 4.99/1.23 cnf(i_0_1356, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_2150, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))))).
% 4.99/1.23 cnf(i_0_2151, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))))).
% 4.99/1.23 cnf(i_0_1722, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1721, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2012, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=X2|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.23 cnf(i_0_1384, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 4.99/1.23 cnf(i_0_1355, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 4.99/1.23 cnf(i_0_1383, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 4.99/1.23 cnf(i_0_1584, plain, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 4.99/1.23 cnf(i_0_1735, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1987, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_1667, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1668, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2447, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~c_Wellfounded_Owf(X3,X1))).
% 4.99/1.23 cnf(i_0_1984, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.99/1.23 cnf(i_0_1986, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 4.99/1.23 cnf(i_0_1732, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1736, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1731, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1826, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1524, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Oone__class_Oone(X1))=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 4.99/1.23 cnf(i_0_1653, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1437, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_1981, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_1830, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1825, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1831, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1423, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 4.99/1.23 cnf(i_0_2368, plain, (c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X1,X2)),c_Wellfounded_Oacc(X1,X2))))).
% 4.99/1.23 cnf(i_0_2369, plain, (c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2)),c_Wellfounded_Oacc(X1,X2))))).
% 4.99/1.23 cnf(i_0_2386, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1))|~class_Ring__and__Field_Oordered__semidom(X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1))))).
% 4.99/1.23 cnf(i_0_2259, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X2)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.23 cnf(i_0_1982, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.99/1.23 cnf(i_0_1544, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 4.99/1.23 cnf(i_0_1506, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 4.99/1.23 cnf(i_0_1855, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 4.99/1.23 cnf(i_0_1856, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X4),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 4.99/1.23 cnf(i_0_1985, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 4.99/1.23 cnf(i_0_2533, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Relation_OId(X3))))).
% 4.99/1.23 cnf(i_0_1531, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(X1,X3,X4))))).
% 4.99/1.23 cnf(i_0_1578, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(X1,X3,X4))))).
% 4.99/1.23 cnf(i_0_1638, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(X1,X3,X4))))).
% 4.99/1.23 cnf(i_0_1523, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oone__class_Oone(X1)),X2)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 4.99/1.23 cnf(i_0_2315, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 4.99/1.23 cnf(i_0_2283, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2))).
% 4.99/1.23 cnf(i_0_2016, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2))).
% 4.99/1.23 cnf(i_0_1408, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2))).
% 4.99/1.23 cnf(i_0_1522, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oone__class_Oone(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 4.99/1.23 cnf(i_0_1958, plain, (hBOOL(hAPP(X1,X2))|~c_Wellfounded_Owf(X3,X4)|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(X1,X3,X4))))).
% 4.99/1.23 cnf(i_0_1778, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_2518, plain, (~c_Relation_Oirrefl(X1,X2)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X3,X3,X2,X2)),X1)))).
% 4.99/1.23 cnf(i_0_1908, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 4.99/1.23 cnf(i_0_1516, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_1412, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2))).
% 4.99/1.23 cnf(i_0_1410, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1))).
% 4.99/1.23 cnf(i_0_1414, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1))).
% 4.99/1.23 cnf(i_0_2462, plain, (c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)|~c_Relation_Orefl__on(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_2547, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2))))).
% 4.99/1.23 cnf(i_0_1617, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 4.99/1.23 cnf(i_0_2511, plain, (c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)|~c_Relation_Ototal__on(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_1709, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 4.99/1.23 cnf(i_0_1672, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 4.99/1.23 cnf(i_0_1396, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3))).
% 4.99/1.23 cnf(i_0_2446, plain, (X1=X2|hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1)!=hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2))).
% 4.99/1.23 cnf(i_0_2037, plain, (hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(X1,X4)))).
% 4.99/1.23 cnf(i_0_2183, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 4.99/1.23 cnf(i_0_1619, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 4.99/1.23 cnf(i_0_2274, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.99/1.23 cnf(i_0_1660, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X1),X2),c_HOL_Ozero__class_Ozero(X3),X3))).
% 4.99/1.23 cnf(i_0_2464, plain, (c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2)|~c_Wellfounded_Owf(X1,X2))).
% 4.99/1.23 cnf(i_0_2076, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 4.99/1.23 cnf(i_0_1586, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2))).
% 4.99/1.23 cnf(i_0_2597, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,X4),X2))))).
% 4.99/1.23 cnf(i_0_2616, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,X4),X2))))).
% 4.99/1.23 cnf(i_0_1439, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_Int_Onumber__ring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 4.99/1.23 cnf(i_0_2121, plain, (c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 4.99/1.23 cnf(i_0_1711, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.23 cnf(i_0_1903, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 4.99/1.23 cnf(i_0_1906, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 4.99/1.23 cnf(i_0_1914, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X3,X2)|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.23 cnf(i_0_2122, plain, (c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 4.99/1.23 cnf(i_0_1541, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2545, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~class_Ring__and__Field_Oordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X2))))).
% 4.99/1.23 cnf(i_0_1487, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)))|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1))).
% 4.99/1.23 cnf(i_0_1983, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Int_Onumber__ring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 4.99/1.23 cnf(i_0_1765, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.23 cnf(i_0_2020, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X3,X2)|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.23 cnf(i_0_2017, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(X3,X2)|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.23 cnf(i_0_1534, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X3),X2),X3))).
% 4.99/1.23 cnf(i_0_1663, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1515, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_2513, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 4.99/1.23 cnf(i_0_2531, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Relation_OId__on(X4,X3))))).
% 4.99/1.23 cnf(i_0_1806, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1807, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1618, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 4.99/1.23 cnf(i_0_1637, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1622, plain, (X1=X2|~c_Finite__Set_Ofinite(X2,X3)|~c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1896, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 4.99/1.23 cnf(i_0_1897, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 4.99/1.23 cnf(i_0_1620, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 4.99/1.23 cnf(i_0_1901, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_1900, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2142, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,X4,X3))))).
% 4.99/1.23 cnf(i_0_1811, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 4.99/1.23 cnf(i_0_1810, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 4.99/1.23 cnf(i_0_2288, plain, (c_Finite__Set_Osetprod(X1,X2,X3,X4)=c_HOL_Oone__class_Oone(X4)|hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1(X2,X1,X3,X4))!=c_HOL_Oone__class_Oone(X4)|~class_OrderedGroup_Ocomm__monoid__mult(X4))).
% 4.99/1.23 cnf(i_0_1782, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X3))).
% 4.99/1.23 cnf(i_0_2155, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_2036, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.23 cnf(i_0_1783, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 4.99/1.23 cnf(i_0_1602, plain, (X1=X2|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X4),X4)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X1),X2)|~class_OrderedGroup_Oab__group__add(X3))).
% 4.99/1.23 cnf(i_0_1784, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 4.99/1.23 cnf(i_0_2157, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 4.99/1.23 cnf(i_0_1530, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_1739, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1738, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1931, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1930, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1529, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_2130, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 4.99/1.23 cnf(i_0_2289, plain, (c_Finite__Set_Osetprod(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_HOL_Oone__class_Oone(X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))).
% 4.99/1.23 cnf(i_0_2472, plain, (c_Finite__Set_Osetprod(X1,X2,X3,X4)=c_HOL_Oone__class_Oone(X4)|c_Finite__Set_Ofinite(X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X4))).
% 4.99/1.23 cnf(i_0_1750, plain, (X1=X2|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)!=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))).
% 4.99/1.23 cnf(i_0_1815, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)|~class_Ring__and__Field_Ocomm__ring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2))).
% 4.99/1.23 cnf(i_0_2441, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))))).
% 4.99/1.23 cnf(i_0_1554, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.23 cnf(i_0_1917, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1))).
% 4.99/1.23 cnf(i_0_2264, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),X3),X1)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 4.99/1.23 cnf(i_0_1865, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2))).
% 4.99/1.23 cnf(i_0_2257, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 4.99/1.23 cnf(i_0_2145, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 4.99/1.23 cnf(i_0_1966, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(X1,X2)))|~c_Finite__Set_Ofinite(X1,X2))).
% 4.99/1.23 cnf(i_0_2226, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Osgn__class_Osgn(X2,X1))))).
% 4.99/1.23 cnf(i_0_1520, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 4.99/1.23 cnf(i_0_1542, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1))).
% 4.99/1.23 cnf(i_0_2213, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Oordered__idom(X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),X1)))).
% 4.99/1.23 cnf(i_0_1467, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 4.99/1.23 cnf(i_0_1468, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 4.99/1.23 cnf(i_0_1519, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.23 cnf(i_0_2218, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Osgn__class_Osgn(X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2137, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 4.99/1.23 cnf(i_0_2136, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 4.99/1.23 cnf(i_0_2214, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|c_HOL_Osgn__class_Osgn(X2,X1)!=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 4.99/1.23 cnf(i_0_1823, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 4.99/1.23 cnf(i_0_1409, plain, (c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 4.99/1.23 cnf(i_0_1413, plain, (c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 4.99/1.23 cnf(i_0_1411, plain, (c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.23 cnf(i_0_2181, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 4.99/1.23 cnf(i_0_2237, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2266, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))))|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.99/1.23 cnf(i_0_2427, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),X3)))).
% 4.99/1.23 cnf(i_0_1415, plain, (c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.23 cnf(i_0_2022, plain, (c_Relation_Osingle__valued(X1,X2,X3)|~c_Relation_Osingle__valued(X4,X2,X3)|~c_lessequals(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)))).
% 4.99/1.23 cnf(i_0_1781, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 4.99/1.23 cnf(i_0_1937, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_2132, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool)))).
% 4.99/1.23 cnf(i_0_1824, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1))).
% 4.99/1.23 cnf(i_0_1528, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)|~class_Ring__and__Field_Odvd(X2))).
% 4.99/1.23 cnf(i_0_1514, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_Wellfounded_Owf(X3,X2)|~c_lessequals(X1,c_Relation_OImage(X3,X1,X2,X2),tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1861, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1862, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1949, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1762, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 4.99/1.23 cnf(i_0_1977, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2271, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.23 cnf(i_0_1746, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_1761, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.23 cnf(i_0_1948, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1827, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))).
% 4.99/1.23 cnf(i_0_2387, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X2)))).
% 4.99/1.23 cnf(i_0_2256, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 4.99/1.23 cnf(i_0_2224, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2294, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(t_a),X2),c_Wellfounded_Oacc(X3,t_a)))|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X3))))).
% 4.99/1.23 cnf(i_0_1350, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_1747, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.23 cnf(i_0_1730, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 4.99/1.23 cnf(i_0_1441, plain, (c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 4.99/1.23 cnf(i_0_1745, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_2298, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(t_a),X2),c_Wellfounded_Oacc(X3,t_a)))|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X3))))).
% 4.99/1.23 cnf(i_0_1393, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool)))).
% 4.99/1.23 cnf(i_0_2559, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),c_Relation_OId__on(X3,X1))))).
% 4.99/1.23 cnf(i_0_1803, plain, (X1=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))|c_Finite__Set_Ocard(X1,X2)!=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2))).
% 4.99/1.23 cnf(i_0_1416, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.23 cnf(i_0_1398, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 4.99/1.23 cnf(i_0_1902, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X2))|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 4.99/1.23 cnf(i_0_1546, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_1629, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 4.99/1.23 cnf(i_0_2258, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2001, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_1351, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.99/1.23 cnf(i_0_1635, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),c_HOL_Oone__class_Oone(X2)),X1),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 4.99/1.23 cnf(i_0_1360, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.23 cnf(i_0_2448, plain, (c_Relation_Osym(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)|~c_Relation_Osym(X1,X2))).
% 4.99/1.23 cnf(i_0_2482, plain, (c_Wellfounded_Owf(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)|~c_Wellfounded_Owf(X1,X2))).
% 4.99/1.23 cnf(i_0_2143, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))))).
% 4.99/1.23 cnf(i_0_1540, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 4.99/1.23 cnf(i_0_1477, plain, (X1=hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 4.99/1.23 cnf(i_0_1478, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_1553, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.23 cnf(i_0_2055, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.23 cnf(i_0_2267, plain, (X1=X2|c_Power_Opower__class_Opower(X3,X1,X4)!=c_Power_Opower__class_Opower(X3,X2,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),c_HOL_Oone__class_Oone(X4)),X3)))).
% 4.99/1.23 cnf(i_0_2270, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4)=c_HOL_Ozero__class_Ozero(X2)|hAPP(X3,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(X4,X3,X1,X2))!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.23 cnf(i_0_2383, plain, (c_Nitpick_Orefl_H(X1,X2)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),X2,X2)),X1)))).
% 4.99/1.23 cnf(i_0_1687, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3))).
% 4.99/1.23 cnf(i_0_1699, plain, (c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 4.99/1.23 cnf(i_0_2296, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X3,X2,X1)),c_Wellfounded_Oacc(X3,X1))))).
% 4.99/1.23 cnf(i_0_2299, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X3,X2,X1)),c_Wellfounded_Oacc(X3,X1))))).
% 4.99/1.23 cnf(i_0_2180, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|c_lessequals(X3,X2,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1))).
% 4.99/1.23 cnf(i_0_2496, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4)=c_HOL_Ozero__class_Ozero(X2)|c_Finite__Set_Ofinite(X4,X1)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.23 cnf(i_0_1685, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3))).
% 4.99/1.23 cnf(i_0_1479, plain, (c_Relation_Osingle__valued(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X3,X5)|~c_Relation_Osingle__valued(X2,X4,X5)|~c_Relation_Osingle__valued(X1,X3,X4))).
% 4.99/1.23 cnf(i_0_1695, plain, (c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2))).
% 4.99/1.23 cnf(i_0_2404, plain, (~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X1,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.23 cnf(i_0_2225, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Osgn__class_Osgn(X2,X1)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.23 cnf(i_0_2217, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Osgn__class_Osgn(X2,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2194, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.23 cnf(i_0_2193, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.99/1.23 cnf(i_0_1919, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))|~class_Int_Onumber__ring(X1))).
% 4.99/1.23 cnf(i_0_2082, plain, (~c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X1,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.23 cnf(i_0_2357, plain, (~c_Wellfounded_Oacyclic(X1,X2)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X3,X3,X2,X2)),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2))))).
% 4.99/1.23 cnf(i_0_1587, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.23 cnf(i_0_1710, plain, (c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.23 cnf(i_0_2178, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 4.99/1.23 cnf(i_0_2177, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.23 cnf(i_0_1978, plain, (c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool))|c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_2293, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Wellfounded_Oacc(X4,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X3))))).
% 4.99/1.23 cnf(i_0_1920, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.23 cnf(i_0_2316, plain, (c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)|~c_Relation_Oantisym(X1,X2))).
% 4.99/1.23 cnf(i_0_1858, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X4),X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_1857, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X4),X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.23 cnf(i_0_1941, plain, (X1=hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3))!=X4|~class_OrderedGroup_Oab__group__add(X2))).
% 4.99/1.23 cnf(i_0_2003, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),c_HOL_Oone__class_Oone(X3)),X4))|~c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3))).
% 4.99/1.23 cnf(i_0_1603, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X1),X3)|~class_Lattices_Oboolean__algebra(X2))).
% 4.99/1.23 cnf(i_0_2297, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Wellfounded_Oacc(X4,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X3))))).
% 4.99/1.23 cnf(i_0_2607, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.23 cnf(i_0_2606, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.23 cnf(i_0_2089, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2))))).
% 4.99/1.23 cnf(i_0_1749, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)=X3|c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)!=c_Orderings_Obot__class_Obot(X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.23 cnf(i_0_2498, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2)=X1|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 4.99/1.23 cnf(i_0_2039, plain, (c_lessequals(X1,X2,X3)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X4),X5)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X2),X1)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 4.99/1.23 cnf(i_0_2228, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2229, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2443, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 4.99/1.23 cnf(i_0_1921, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_2488, plain, (c_Equiv__Relations_Oequiv(c_Relation_ODomain(X1,X2,X2),X1,X2)|c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2)!=X1)).
% 4.99/1.23 cnf(i_0_1953, plain, (c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 4.99/1.23 cnf(i_0_1693, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3)=c_Finite__Set_Ocard(X2,X3)|~c_Finite__Set_Ofinite(X2,X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 4.99/1.23 cnf(i_0_1700, plain, (c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X1)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 4.99/1.23 cnf(i_0_2589, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X2),X1))|~class_Orderings_Olinorder(X3))).
% 4.99/1.23 cnf(i_0_1971, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.23 cnf(i_0_2060, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))),X2)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)|~class_Int_Onumber__ring(X1))).
% 4.99/1.23 cnf(i_0_1798, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 4.99/1.23 cnf(i_0_2124, plain, (c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2))).
% 4.99/1.23 cnf(i_0_2126, plain, (c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1))).
% 4.99/1.23 cnf(i_0_2117, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X2)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.23 cnf(i_0_2596, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X2),X1))|~class_Ring__and__Field_Oordered__idom(X3))).
% 4.99/1.23 cnf(i_0_2534, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X2,X1,X1)),X3))|~c_Nitpick_Orefl_H(X3,X1))).
% 4.99/1.23 cnf(i_0_1565, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_HOL_Oone__class_Oone(X2))|X1=c_HOL_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),X1))|~class_Ring__and__Field_Osgn__if(X2))).
% 4.99/1.23 cnf(i_0_1481, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_1484, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olower__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1719, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.23 cnf(i_0_2546, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3)))).
% 4.99/1.23 cnf(i_0_2128, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 4.99/1.23 cnf(i_0_1555, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.23 cnf(i_0_1616, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 4.99/1.23 cnf(i_0_1375, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_lessequals(X2,X4,tc_nat))).
% 4.99/1.23 cnf(i_0_2123, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 4.99/1.23 cnf(i_0_2582, plain, (X1=X2|X3=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,X4),X2)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)))).
% 4.99/1.23 cnf(i_0_2609, plain, (X1=X2|X3=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,X4),X2)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)))).
% 4.99/1.23 cnf(i_0_2608, plain, (X1=X2|X2=X3|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,X4),X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)))).
% 4.99/1.23 cnf(i_0_2581, plain, (X1=X2|X1=X3|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,X4),X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)))).
% 4.99/1.23 cnf(i_0_1838, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|c_HOL_Osgn__class_Osgn(X2,X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 4.99/1.23 cnf(i_0_1821, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))))).
% 4.99/1.23 cnf(i_0_1460, plain, (c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)|~c_Finite__Set_Ofinite(X1,X2))).
% 4.99/1.23 cnf(i_0_1744, plain, (c_Transitive__Closure_Ortrancl(X1,X2)=c_Transitive__Closure_Ortrancl(X3,X2)|~c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.23 cnf(i_0_1639, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X3)=X2|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.23 cnf(i_0_2167, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(X4,X3,X1))).
% 4.99/1.23 cnf(i_0_2168, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~c_lessequals(X2,X4,X1))).
% 4.99/1.23 cnf(i_0_2165, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(X4,X3,X1))).
% 4.99/1.23 cnf(i_0_2166, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~c_lessequals(X2,X4,X1))).
% 4.99/1.23 cnf(i_0_1434, plain, (X1=hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)|X1=X3|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)|~class_Ring__and__Field_Oidom(X2))).
% 4.99/1.23 cnf(i_0_1395, plain, (c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,X2,X1))).
% 4.99/1.23 cnf(i_0_2317, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Osgn__if(X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),X1)))).
% 4.99/1.23 cnf(i_0_1661, plain, (c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,X3,X1))).
% 4.99/1.23 cnf(i_0_1457, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 4.99/1.23 cnf(i_0_1361, plain, (c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Osym(X2,X3)|~c_Relation_Osym(X1,X3))).
% 4.99/1.23 cnf(i_0_2255, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.23 cnf(i_0_2223, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.24 cnf(i_0_1912, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1786, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|c_lessequals(X3,X4,tc_fun(X1,tc_bool))|~c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)))).
% 4.99/1.24 cnf(i_0_1706, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 4.99/1.24 cnf(i_0_1458, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 4.99/1.24 cnf(i_0_1945, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.99/1.24 cnf(i_0_1440, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X4),X2)|~class_Ring__and__Field_Ocomm__ring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2))).
% 4.99/1.24 cnf(i_0_1878, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1))!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 4.99/1.24 cnf(i_0_2568, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),c_Pair(X2,X5,X1,X4)),c_Product__Type_OSigma(X3,X6,X1,X4))))).
% 4.99/1.24 cnf(i_0_2182, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 4.99/1.24 cnf(i_0_2238, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.99/1.24 cnf(i_0_1691, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))|~class_Ring__and__Field_Oring(X1))).
% 4.99/1.24 cnf(i_0_1535, plain, (c_lessequals(hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X3),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(X2,X3,tc_nat))).
% 4.99/1.24 cnf(i_0_1879, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3))!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 4.99/1.24 cnf(i_0_1905, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X5,X3),X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_lessequals(X2,X5,tc_nat))).
% 4.99/1.24 cnf(i_0_2333, plain, (hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1(X2,X1,X3,X4))=c_HOL_Ozero__class_Ozero(X4)|c_Finite__Set_Osetprod(X1,X2,X3,X4)!=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Ono__zero__divisors(X4)|~c_Finite__Set_Ofinite(X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 4.99/1.24 cnf(i_0_1979, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4),X2))).
% 4.99/1.24 cnf(i_0_2281, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X2,X3,X1)),X2))|~c_Wellfounded_Owf(X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 4.99/1.24 cnf(i_0_2282, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X2,X3,X1)),X2))|~c_Wellfounded_Owf(X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 4.99/1.24 cnf(i_0_1388, plain, (hAPP(X1,X2)=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_Finite__Set_Osetsum(X3,tc_nat),X1),X4)!=c_HOL_Ozero__class_Ozero(tc_nat)|~c_Finite__Set_Ofinite(X4,X3)|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4)))).
% 4.99/1.24 cnf(i_0_2169, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))))).
% 4.99/1.24 cnf(i_0_1536, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3))|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_1670, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.24 cnf(i_0_1980, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X4),X1),X2))).
% 4.99/1.24 cnf(i_0_1843, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2))).
% 4.99/1.24 cnf(i_0_1998, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1))).
% 4.99/1.24 cnf(i_0_1999, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1))).
% 4.99/1.24 cnf(i_0_1847, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.24 cnf(i_0_2172, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))))).
% 4.99/1.24 cnf(i_0_1488, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X3))),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2235, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_Power_Opower__class_Opower(X2,X3,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2277, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1840, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))|~class_Ring__and__Field_Oring(X1))).
% 4.99/1.24 cnf(i_0_1946, plain, (c_lessequals(c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X3,X2),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.24 cnf(i_0_2000, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1))).
% 4.99/1.24 cnf(i_0_1997, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1))).
% 4.99/1.24 cnf(i_0_1842, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_1845, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_2320, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1))))|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.99/1.24 cnf(i_0_2215, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2319, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2195, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 4.99/1.24 cnf(i_0_1970, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)|~class_Ring__and__Field_Oring(X1))).
% 4.99/1.24 cnf(i_0_1844, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_1841, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X5,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_lessequals(X2,X5,tc_nat))).
% 4.99/1.24 cnf(i_0_1543, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1864, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_2197, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),X2)))).
% 4.99/1.24 cnf(i_0_1854, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1392, plain, (c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool))|~c_lessequals(X3,X2,tc_fun(X1,tc_bool)))).
% 4.99/1.24 cnf(i_0_1969, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)|~class_Ring__and__Field_Oidom(X1))).
% 4.99/1.24 cnf(i_0_2008, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3))|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_1599, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3))).
% 4.99/1.24 cnf(i_0_1445, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))!=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1347, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 4.99/1.24 cnf(i_0_1594, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2366, plain, (c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),X2,X2)=X1|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),X1),c_Relation_OId(X2))))).
% 4.99/1.24 cnf(i_0_2567, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X4,X2,X5,X1)),c_Product__Type_OSigma(X6,X3,X5,X1))))).
% 4.99/1.24 cnf(i_0_2164, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5)))).
% 4.99/1.24 cnf(i_0_2007, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3))|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1470, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2)),X2)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1593, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1592, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1595, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1346, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2371, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X3),c_Relation_OId__on(X2,X1))))).
% 4.99/1.24 cnf(i_0_2322, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~class_Ring__and__Field_Oordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),c_Power_Opower__class_Opower(X4,X1,X3)),c_Power_Opower__class_Opower(X4,X2,X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),c_HOL_Oone__class_Oone(X3)),X4)))).
% 4.99/1.24 cnf(i_0_1839, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_HOL_Oone__class_Oone(X2))|~class_Ring__and__Field_Oordered__idom(X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X1),c_HOL_Ozero__class_Ozero(X2))))).
% 4.99/1.24 cnf(i_0_1875, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)=X1|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X1),c_HOL_Ozero__class_Ozero(X2)))|~class_Orderings_Olinorder(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 4.99/1.24 cnf(i_0_1671, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2))=X3|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1349, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1348, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1597, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_lessequals(X2,X4,tc_nat))).
% 4.99/1.24 cnf(i_0_1604, plain, (c_lessequals(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X4),c_HOL_Ozero__class_Ozero(X3)))|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1),X3))).
% 4.99/1.24 cnf(i_0_2088, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2227, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.24 cnf(i_0_2230, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.24 cnf(i_0_2560, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X2,X1,X1)),c_Relation_OId__on(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 4.99/1.24 cnf(i_0_1918, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_1512, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X3)=X2|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1606, plain, (c_lessequals(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),c_HOL_Ozero__class_Ozero(X3)),X4))|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3))).
% 4.99/1.24 cnf(i_0_1758, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),c_HOL_Ozero__class_Ozero(X2),X2))).
% 4.99/1.24 cnf(i_0_1757, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),c_HOL_Ozero__class_Ozero(X2),X2))).
% 4.99/1.24 cnf(i_0_1608, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),c_HOL_Ozero__class_Ozero(X3)),X4))|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3))).
% 4.99/1.24 cnf(i_0_2576, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(X1,X2)),hAPP(X1,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X2,X3,X4,X4)),c_Wellfounded_Omeasure(X1,X4))))).
% 4.99/1.24 cnf(i_0_1834, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 4.99/1.24 cnf(i_0_1726, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1720, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1609, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),c_HOL_Ozero__class_Ozero(X3)),X4))|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X2),X4),X3))).
% 4.99/1.24 cnf(i_0_2329, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(X1,X2),c_Finite__Set_Osetprod(X1,X3,X4,X5),X5)|~c_Finite__Set_Ofinite(X3,X4)|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3))|~class_Ring__and__Field_Ocomm__semiring__1(X5))).
% 4.99/1.24 cnf(i_0_1681, plain, (X1=X2|X1=X3|c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)!=c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))).
% 4.99/1.24 cnf(i_0_1692, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))|~class_Ring__and__Field_Oring(X1))).
% 4.99/1.24 cnf(i_0_2077, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(X1,X2)))|~c_Finite__Set_Ofinite(X3,X4)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Osetprod(X1,X3,X4,tc_nat)))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 4.99/1.24 cnf(i_0_2153, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|c_Set_Oinsert(X4,X1,X3)!=c_Set_Oinsert(X4,X2,X3))).
% 4.99/1.24 cnf(i_0_2571, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Relation_Orefl__on(X3,X4,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X2,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2051, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Osgn__class_Osgn(X2,X1)),c_HOL_Osgn__class_Osgn(X3,X1))=c_HOL_Osgn__class_Osgn(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 4.99/1.24 cnf(i_0_1934, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1679, plain, (X1=X2|X3=X2|c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)!=c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))).
% 4.99/1.24 cnf(i_0_1696, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1))).
% 4.99/1.24 cnf(i_0_1377, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(X1,X4,X2))).
% 4.99/1.24 cnf(i_0_1933, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1))|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.24 cnf(i_0_2572, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Relation_Orefl__on(X3,X4,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2561, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Equiv__Relations_Oequiv(X3,X4,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X2,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2562, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Equiv__Relations_Oequiv(X3,X4,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2232, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.99/1.24 cnf(i_0_1952, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1951, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1))|~class_Lattices_Oboolean__algebra(X1))).
% 4.99/1.24 cnf(i_0_1376, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X4,X2)|~c_lessequals(X1,X3,X2))).
% 4.99/1.24 cnf(i_0_1471, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X2,X4,X1)),c_Power_Opower__class_Opower(X3,X4,X1)))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 4.99/1.24 cnf(i_0_2043, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_2527, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X3,X4,X2,X2)),X1))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X4,X3,X2,X2)),X1)))).
% 4.99/1.24 cnf(i_0_1792, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))|hBOOL(hAPP(hAPP(c_in(X4),X2),X1)))).
% 4.99/1.24 cnf(i_0_2231, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.99/1.24 cnf(i_0_2078, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),c_Power_Opower__class_Opower(X2,X3,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2047, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X5)|X5=c_HOL_Ozero__class_Ozero(X1)|X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_1793, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 4.99/1.24 cnf(i_0_1545, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)=hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)|~class_Orderings_Olinorder(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X1),c_HOL_Ozero__class_Ozero(X2))))).
% 4.99/1.24 cnf(i_0_2460, plain, (c_Wellfounded_Owf(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2)|~c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2))).
% 4.99/1.24 cnf(i_0_2453, plain, (c_Finite__Set_Osetprod(X1,X2,X3,X4)=c_HOL_Ozero__class_Ozero(X4)|hAPP(X1,X5)!=c_HOL_Ozero__class_Ozero(X4)|~c_Finite__Set_Ofinite(X2,X3)|~hBOOL(hAPP(hAPP(c_in(X3),X5),X2))|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 4.99/1.24 cnf(i_0_1551, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 4.99/1.24 cnf(i_0_2242, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.24 cnf(i_0_2565, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_ODomain(X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),c_Pair(X2,X5,X1,X4)),X3)))).
% 4.99/1.24 cnf(i_0_1358, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.24 cnf(i_0_2048, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)|X5=c_HOL_Ozero__class_Ozero(X1)|X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X5)!=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_1850, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 4.99/1.24 cnf(i_0_1552, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))).
% 4.99/1.24 cnf(i_0_1849, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))).
% 4.99/1.24 cnf(i_0_2005, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),c_HOL_Oone__class_Oone(X3)),X1))|~c_lessequals(X2,X4,tc_nat))).
% 4.99/1.24 cnf(i_0_2332, plain, (c_Finite__Set_Osetprod(X1,X2,X3,X4)=c_HOL_Oone__class_Oone(X4)|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1(X2,X1,X3,X4)),X2))|~class_OrderedGroup_Ocomm__monoid__mult(X4))).
% 4.99/1.24 cnf(i_0_2106, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2104, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2033, plain, (X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_2423, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),c_Relation_ODomain(X4,X3,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.24 cnf(i_0_1682, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_HOL_Ozero__class_Ozero(X1)),X1)|~class_Ring__and__Field_Oidom(X1))).
% 4.99/1.24 cnf(i_0_1443, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Power_Opower__class_Opower(X2,X3,X1)),X2)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Power_Opower__class_Opower(X2,X3,X1))|~class_OrderedGroup_Omonoid__mult(X1))).
% 4.99/1.24 cnf(i_0_1359, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1636, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2053, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_2056, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_1928, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1))=c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_2191, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2192, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2517, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),c_Relation_Oconverse(X5,X1,X2))))).
% 4.99/1.24 cnf(i_0_2351, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Owf(X4,X5)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X5)),c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(X1,X4,X5),X5,X5)),X4)))).
% 4.99/1.24 cnf(i_0_2073, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2))|~class_OrderedGroup_Ogroup__add(X1))).
% 4.99/1.24 cnf(i_0_2038, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1))=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1561, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_2054, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_2058, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_2321, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4)=c_HOL_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(X4,X3,X1,X2)),X4))|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2350, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Owf(X4,X5)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X5)),c_Pair(X3,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(X1,X4,X5),X5,X5)),X4)))).
% 4.99/1.24 cnf(i_0_2349, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Owf(X4,X5)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X5)),c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(X1,X4,X5),X5,X5)),X4)))).
% 4.99/1.24 cnf(i_0_2348, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_Wellfounded_Owf(X4,X5)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X5)),c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(X1,X4,X5),X5,X5)),X4)))).
% 4.99/1.24 cnf(i_0_2390, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X4,X1,X2),X2,X2)),X1))|~hBOOL(hAPP(hAPP(c_in(X2),X5),X4))|~hBOOL(hAPP(hAPP(c_in(X2),X3),X4)))).
% 4.99/1.24 cnf(i_0_2072, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.24 cnf(i_0_2052, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1904, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_1771, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1772, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 4.99/1.24 cnf(i_0_1683, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X3),X1)|~class_Ring__and__Field_Oidom(X1))).
% 4.99/1.24 cnf(i_0_2389, plain, (~c_Wellfounded_Owf(X1,X2)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X4,X1,X2),X2,X2)),X1))|~hBOOL(hAPP(hAPP(c_in(X2),X5),X4))|~hBOOL(hAPP(hAPP(c_in(X2),X3),X4)))).
% 4.99/1.24 cnf(i_0_2216, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2318, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2)),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1431, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1))).
% 4.99/1.24 cnf(i_0_1573, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1373, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1773, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1774, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 4.99/1.24 cnf(i_0_2032, plain, (c_lessequals(c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X4,X2,X3),tc_fun(X2,tc_bool))|~c_lessequals(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)))).
% 4.99/1.24 cnf(i_0_1430, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1))).
% 4.99/1.24 cnf(i_0_1433, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1))).
% 4.99/1.24 cnf(i_0_1432, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__semiring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1))).
% 4.99/1.24 cnf(i_0_2425, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),c_Transitive__Closure_Ortrancl(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1))))).
% 4.99/1.24 cnf(i_0_1569, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.99/1.24 cnf(i_0_1939, plain, (X1=X2|c_Power_Opower__class_Opower(X1,X3,X4)!=c_Power_Opower__class_Opower(X2,X3,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X3))|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4))).
% 4.99/1.24 cnf(i_0_1482, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 4.99/1.24 cnf(i_0_1483, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4))).
% 4.99/1.24 cnf(i_0_1718, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 4.99/1.24 cnf(i_0_1889, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1888, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2109, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1567, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1717, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4))).
% 4.99/1.24 cnf(i_0_1371, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,tc_nat))).
% 4.99/1.24 cnf(i_0_1424, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X4),X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),X4))|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),X1),X4),X3,X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 4.99/1.24 cnf(i_0_1426, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X4,X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~c_lessequals(X2,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1675, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2110, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2265, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2244, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2243, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2067, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1674, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1370, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1369, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2372, plain, (c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X3,X3)=X2|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),X2),c_Relation_OId__on(X1,X3))))).
% 4.99/1.24 cnf(i_0_1580, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1694, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 4.99/1.24 cnf(i_0_2570, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X2,X1,X1)),X3))|~c_Relation_Orefl__on(X4,X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 4.99/1.24 cnf(i_0_1684, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_2530, plain, (hAPP(X1,X2)=hAPP(X1,X3)|~c_Equiv__Relations_Ocongruent(X4,X1,X5,X6)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X5)),c_Pair(X2,X3,X5,X5)),X4)))).
% 4.99/1.24 cnf(i_0_2381, plain, (c_Equiv__Relations_Ocongruent(X1,hAPP(X2,X3),X4,X5)|~c_Equiv__Relations_Ocongruent2(X6,X1,X2,X7,X4,X5)|~c_Equiv__Relations_Oequiv(X8,X6,X7)|~hBOOL(hAPP(hAPP(c_in(X7),X3),X8)))).
% 4.99/1.24 cnf(i_0_1796, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1566, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1892, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1890, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1596, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 4.99/1.24 cnf(i_0_1527, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_1688, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_2026, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1797, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2027, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1447, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Finite__Set_Osetprod(X1,X2,X3,X4),c_Finite__Set_Osetprod(X1,X5,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__mult(X4)|~class_Ring__and__Field_Odvd(X4)|~c_Finite__Set_Ofinite(X5,X3)|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_2173, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.24 cnf(i_0_2174, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.24 cnf(i_0_2170, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 4.99/1.24 cnf(i_0_2171, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 4.99/1.24 cnf(i_0_1686, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X3,X4,X1))).
% 4.99/1.24 cnf(i_0_2380, plain, (c_Relation_Oirrefl(X1,X2)|hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(X1,X2),X2,X2)),X1)))).
% 4.99/1.24 cnf(i_0_2388, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1(X2,X3,X1,X4)),X2))|c_Finite__Set_Osetprod(X3,X2,X1,X4)!=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Ono__zero__divisors(X4)|~c_Finite__Set_Ofinite(X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 4.99/1.24 cnf(i_0_1989, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)))))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_1429, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),X3),X4),X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),X4))|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4),X3,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 4.99/1.24 cnf(i_0_1428, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X4,X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2251, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2253, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2254, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2252, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_1689, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X4,X1))).
% 4.99/1.24 cnf(i_0_1403, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_1790, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X4,tc_bool)))).
% 4.99/1.24 cnf(i_0_1795, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1794, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1402, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1))).
% 4.99/1.24 cnf(i_0_2575, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Wellfounded_Omeasure(X4,X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(X4,X2)),hAPP(X4,X3))))).
% 4.99/1.24 cnf(i_0_2279, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),c_Relation_OImage(X5,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X2))))).
% 4.99/1.24 cnf(i_0_2248, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2249, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1533, plain, (c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),X2),X3,X1)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_HOL_Oone__class_Oone(X1)),c_Power_Opower__class_Opower(X2,X3,X1))|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1716, plain, (c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X1),X2)))).
% 4.99/1.24 cnf(i_0_2417, plain, (hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6)=hAPP(X1,X6)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X6,X3,X4,X4)),X2)))).
% 4.99/1.24 cnf(i_0_2002, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X6,X2,X3,X4,X5)|hAPP(X1,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5))!=hAPP(X6,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5)))).
% 4.99/1.24 cnf(i_0_2326, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_Finite__Set_Osetprod(X2,X3,X4,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(X2,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1(X3,X2,X4,X1)))))).
% 4.99/1.24 cnf(i_0_1715, plain, (c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X4),X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X1),X3)))).
% 4.99/1.24 cnf(i_0_2250, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2247, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2115, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2116, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1456, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1))),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_2528, plain, (X1=X2|~c_Relation_Oantisym(X3,X4)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X2,X1,X4,X4)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X1,X2,X4,X4)),X3)))).
% 4.99/1.24 cnf(i_0_2066, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_2113, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2114, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2234, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2236, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.24 cnf(i_0_1568, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.99/1.24 cnf(i_0_2023, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X5),X2)|~c_lessequals(X5,X4,X2))).
% 4.99/1.24 cnf(i_0_2370, plain, (c_Finite__Set_Osetprod(c_COMBB(c_Nat_Osemiring__1__class_Oof__nat(X1),X2,tc_nat,X1,X3),X4,X3,X1)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),c_Finite__Set_Osetprod(X2,X4,X3,tc_nat))|~class_Ring__and__Field_Osemiring__1(X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 4.99/1.24 cnf(i_0_2346, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),c_Transitive__Closure_Ortrancl(X5,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X1,X4,X5,X3)))|~hBOOL(hAPP(X1,X4)))).
% 4.99/1.24 cnf(i_0_2341, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X4,X2,X3,X3)),c_Transitive__Closure_Ortrancl(X5,X3)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X1,X4,X5,X3)))|~hBOOL(hAPP(X1,X4)))).
% 4.99/1.24 cnf(i_0_1570, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 4.99/1.24 cnf(i_0_2233, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2222, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.99/1.24 cnf(i_0_2240, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2239, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.99/1.24 cnf(i_0_2063, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))|~class_OrderedGroup_Oab__semigroup__mult(X1))).
% 4.99/1.24 cnf(i_0_2268, plain, (X1=X2|~c_Relation_Osingle__valued(X3,X4,X5)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X5)),c_Pair(X6,X2,X4,X5)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X5)),c_Pair(X6,X1,X4,X5)),X3)))).
% 4.99/1.24 cnf(i_0_1876, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 4.99/1.24 cnf(i_0_2378, plain, (c_lessequals(X1,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Orefl__on(X3,X1,X2))).
% 4.99/1.24 cnf(i_0_1769, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 4.99/1.24 cnf(i_0_1590, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_2042, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Power_Opower__class_Opower(X2,X3,X1)),c_Power_Opower__class_Opower(X4,X3,X1))=c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_2284, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Relation__XImageE__1__1(X2,X3,X4,X1,X5)),X2))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Relation_OImage(X4,X2,X1,X5))))).
% 4.99/1.24 cnf(i_0_2285, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X2,X3,X4,X1,X5)),X2))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Relation_OImage(X4,X2,X1,X5))))).
% 4.99/1.24 cnf(i_0_1869, plain, (c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X5,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1476, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X1,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X3),X3,X3),tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_Wellfounded_Owf(X2,X3)|~c_Wellfounded_Owf(X1,X3))).
% 4.99/1.24 cnf(i_0_2041, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Power_Opower__class_Opower(X2,X3,X1)),c_Power_Opower__class_Opower(X4,X3,X1))=c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X3,X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 4.99/1.24 cnf(i_0_1768, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1500, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_1499, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 4.99/1.24 cnf(i_0_2278, plain, (c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool))|~c_lessequals(X2,X3,tc_fun(X1,tc_bool)))).
% 4.99/1.24 cnf(i_0_1588, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1))|~class_OrderedGroup_Olordered__ab__group__add__meet(X1))).
% 4.99/1.24 cnf(i_0_1548, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_1990, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),X3),X4),X2)|~c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4),X2)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4),X3,X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 4.99/1.24 cnf(i_0_1993, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X4,X1)|~c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X1)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1870, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X2,X1))).
% 4.99/1.24 cnf(i_0_2367, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),c_COMBB(c_Nat_Osemiring__1__class_Oof__nat(X2),X3,tc_nat,X2,X1)),X4)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,tc_nat),X3),X4))|~class_Ring__and__Field_Osemiring__1(X2))).
% 4.99/1.24 cnf(i_0_2107, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2108, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_1559, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1871, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X3,X1))).
% 4.99/1.24 cnf(i_0_1872, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_1873, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X4,X1))).
% 4.99/1.24 cnf(i_0_1874, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1)|~class_Ring__and__Field_Omult__mono1(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X4,X1))).
% 4.99/1.24 cnf(i_0_1557, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1))|~class_OrderedGroup_Olordered__ab__group__add__join(X1))).
% 4.99/1.24 cnf(i_0_2061, plain, (c_lessequals(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X6,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool))|~c_lessequals(X2,X6,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1649, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_Power_Opower__class_Opower(X2,X3,X1)),c_Power_Opower__class_Opower(X4,X3,X1))=c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4),X3,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_2045, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_Ring__and__Field_Ocomm__ring(X2)|~class_Ring__and__Field_Odvd(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X5),X6))),X4),X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X6,X2))).
% 4.99/1.24 cnf(i_0_2334, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(X2,X3,X4,X1,X5)),X2))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X5)),X4),c_Product__Type_OSigma(X2,X3,X1,X5))))).
% 4.99/1.24 cnf(i_0_2323, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X2,X3,X1)),c_Power_Opower__class_Opower(X2,X4,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X4)))).
% 4.99/1.24 cnf(i_0_1650, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Power_Opower__class_Opower(X2,X3,X1))))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2428, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),X3)))).
% 4.99/1.24 cnf(i_0_1943, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_2396, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X2,X3,X1),X3,X1,X1)),X2))|hBOOL(hAPP(hAPP(c_in(X1),X3),c_Wellfounded_Oacc(X2,X1))))).
% 4.99/1.24 cnf(i_0_1472, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(X2,X3)|~c_Wellfounded_Owf(X1,X3)|~c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X3,X3),X1,tc_fun(tc_prod(X3,X3),tc_bool)))).
% 4.99/1.24 cnf(i_0_2532, plain, (hAPP(X1,X2)=hAPP(X3,X2)|c_Recdef_Ocut(X1,X4,X5,X6,X7)!=c_Recdef_Ocut(X3,X4,X5,X6,X7)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X6,X6)),c_Pair(X2,X5,X6,X6)),X4)))).
% 4.99/1.24 cnf(i_0_2049, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2050, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2399, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X3,X1),X3,X1,X1)),X2))|hBOOL(hAPP(hAPP(c_in(X1),X3),c_Wellfounded_Oacc(X2,X1))))).
% 4.99/1.24 cnf(i_0_2287, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 4.99/1.24 cnf(i_0_2286, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_prod(X1,X1),tc_bool)),X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X3,X1))))).
% 4.99/1.24 cnf(i_0_2574, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Wellfounded_Omlex__prod(X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(X4,X2)),hAPP(X4,X3))))).
% 4.99/1.24 cnf(i_0_2401, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a)),X4))|~hBOOL(hAPP(hAPP(c_in(t_a),X2),c_Wellfounded_Oacc(X4,t_a))))).
% 4.99/1.24 cnf(i_0_1942, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1446, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 4.99/1.24 cnf(i_0_1581, plain, (c_lessequals(c_Relation_OImage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))|~c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(X1,X3,X4),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),X5),X4,X3)),tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1634, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)|~class_Lattices_Olattice(X4))).
% 4.99/1.24 cnf(i_0_1743, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)|~class_Lattices_Olattice(X3))).
% 4.99/1.24 cnf(i_0_1480, plain, (c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Orefl__on(X2,X5,X3)|~c_Relation_Orefl__on(X1,X4,X3))).
% 4.99/1.24 cnf(i_0_2272, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X3,X2,X2,X1)),X4)=hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X4))|~class_OrderedGroup_Oab__group__add(X2))).
% 4.99/1.24 cnf(i_0_2398, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a)),X4))|~hBOOL(hAPP(hAPP(c_in(t_a),X2),c_Wellfounded_Oacc(X4,t_a))))).
% 4.99/1.24 cnf(i_0_2415, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Relation_Oconverse(X5,X2,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),X5)))).
% 4.99/1.24 cnf(i_0_2555, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1))))).
% 4.99/1.24 cnf(i_0_1626, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_HOL_Oone__class_Oone(X1))),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1591, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1)),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_2219, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X2))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2095, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X2))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2035, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_1560, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.99/1.24 cnf(i_0_1605, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X4,X3,X1))).
% 4.99/1.24 cnf(i_0_1607, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,X4,X1))).
% 4.99/1.24 cnf(i_0_2435, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X2,X1,X1)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X1,X1),X1))))).
% 4.99/1.24 cnf(i_0_1490, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),X3),X4),X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X4),c_HOL_Ozero__class_Ozero(X2)))|~c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4),X2)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4),X3,X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 4.99/1.24 cnf(i_0_1357, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X3)),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2099, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2220, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1991, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|c_lessequals(X3,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1489, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),X4,X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X1)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2403, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X5,X4),X4,X4)),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_Wellfounded_Oacc(X5,X4))))).
% 4.99/1.24 cnf(i_0_2397, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X5,X4),X4,X4)),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_Wellfounded_Oacc(X5,X4))))).
% 4.99/1.24 cnf(i_0_2563, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_ODomain(c_Relation_Oconverse(X3,X4,X1),X1,X4)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),c_Pair(X5,X2,X4,X1)),X3)))).
% 4.99/1.24 cnf(i_0_2096, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2100, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2179, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.24 cnf(i_0_1994, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2436, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_1867, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_Power_Opower__class_Opower(X2,X3,X1)),c_Power_Opower__class_Opower(X4,X3,X1))=c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4),X3,X1)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_2617, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),X1),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))|~c_lessequals(X1,v_n____,tc_nat))).
% 4.99/1.24 cnf(i_0_2300, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X2,X3,X1)),c_Wellfounded_Oacc(X3,X1)))|hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1))))).
% 4.99/1.24 cnf(i_0_2295, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X2,X3,X1)),c_Wellfounded_Oacc(X3,X1)))|hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1))))).
% 4.99/1.24 cnf(i_0_2025, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_1572, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1589, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1)),X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X1))).
% 4.99/1.24 cnf(i_0_2302, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X1,X3,X3,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,c_Relation_Orel__comp(X2,X1,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),tc_fun(tc_prod(X3,X3),tc_bool)),X3))).
% 4.99/1.24 cnf(i_0_2394, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X3,X4,X1,X2),X1,X2)),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X3),c_Relation_ODomain(X4,X1,X2))))).
% 4.99/1.24 cnf(i_0_2395, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X3,X4,X1,X2),X1,X2)),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X3),c_Relation_ODomain(X4,X1,X2))))).
% 4.99/1.24 cnf(i_0_1558, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X1))).
% 4.99/1.24 cnf(i_0_1820, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 4.99/1.24 cnf(i_0_2119, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(X3,X5,X1))).
% 4.99/1.24 cnf(i_0_2118, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5))|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_2097, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.99/1.24 cnf(i_0_2064, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1418, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Power_Opower__class_Opower(hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1)),X2,X1)),c_Power_Opower__class_Opower(X3,X2,X1))=c_Power_Opower__class_Opower(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)|~class_Ring__and__Field_Oring__1(X1))).
% 4.99/1.24 cnf(i_0_1884, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(X4,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1882, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X4,X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1992, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2101, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 4.99/1.24 cnf(i_0_2094, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 4.99/1.24 cnf(i_0_2538, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X2,X1,X1)),X4))|~c_Relation_Osym(X4,X1))).
% 4.99/1.24 cnf(i_0_2071, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1625, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X3)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1995, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1610, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|c_lessequals(X3,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2),X1)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X4,X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1612, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),X4,X1)|~c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1611, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|c_lessequals(X3,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2),X1)|~c_lessequals(X4,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2009, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_2557, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X6,X2,X5,X1)),X3))|~hBOOL(hAPP(hAPP(c_in(X5),X6),X4)))).
% 4.99/1.24 cnf(i_0_2280, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X4,X2,X5,X1)),X3)))).
% 4.99/1.24 cnf(i_0_2092, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1954, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1461, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_1613, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),X4,X1)|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2338, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X2,X3,X4)))|hBOOL(hAPP(X1,X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X5,X2,X4,X4)),c_Transitive__Closure_Ortrancl(X3,X4)))|~hBOOL(hAPP(X1,X2)))).
% 4.99/1.24 cnf(i_0_2344, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X2,X3,X4)))|hBOOL(hAPP(X1,X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(X2,X5,X4,X4)),c_Transitive__Closure_Ortrancl(X3,X4)))|~hBOOL(hAPP(X1,X2)))).
% 4.99/1.24 cnf(i_0_1753, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X2,X3,X1)),c_Power_Opower__class_Opower(X4,X3,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_2069, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_2090, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2553, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Product__Type_OSigma(X5,X6,X1,X2)))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3)))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5)))).
% 4.99/1.24 cnf(i_0_2384, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X2,X3,X1)),c_Power_Opower__class_Opower(X2,X4,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X4),X3)))).
% 4.99/1.24 cnf(i_0_2079, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),c_Set_Oinsert(X4,X5,X1))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(X3,X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5))|hBOOL(hAPP(hAPP(c_in(X1),X4),X5))|~c_Finite__Set_Ofinite(X5,X1)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_1967, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_1968, plain, (c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_2406, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X3,X4,X2,X1),X3,X1,X2)),X4))|~hBOOL(hAPP(hAPP(c_in(X2),X3),c_Relation_ODomain(c_Relation_Oconverse(X4,X1,X2),X2,X1))))).
% 4.99/1.24 cnf(i_0_2407, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X3,X4,X2,X1),X3,X1,X2)),X4))|~hBOOL(hAPP(hAPP(c_in(X2),X3),c_Relation_ODomain(c_Relation_Oconverse(X4,X1,X2),X2,X1))))).
% 4.99/1.24 cnf(i_0_1868, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X2,X3,X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Power_Opower__class_Opower(X2,X3,X1))))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.99/1.24 cnf(i_0_1452, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1448, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2391, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X3,X4,X5,X1,X2),X4,X1,X2)),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),c_Relation_OImage(X5,X3,X1,X2))))).
% 4.99/1.24 cnf(i_0_2392, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X3,X4,X5,X1,X2),X4,X1,X2)),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),c_Relation_OImage(X5,X3,X1,X2))))).
% 4.99/1.24 cnf(i_0_2070, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 4.99/1.24 cnf(i_0_2385, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_Finite__Set_Osetprod(X2,X3,X4,X1)))|hBOOL(hAPP(hAPP(c_in(X4),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1(X3,X2,X4,X1)),X3))|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.99/1.24 cnf(i_0_1866, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),X3,X4)|~c_Relation_Osingle__valued(c_Relation_Oconverse(X1,X3,X4),X4,X3))).
% 4.99/1.24 cnf(i_0_1491, plain, (X1=X2|X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))).
% 4.99/1.24 cnf(i_0_2273, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X4,X2,X2,X1)),X5)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X4),X5))|~class_Ring__and__Field_Osemiring__0(X2))).
% 4.99/1.24 cnf(i_0_2400, plain, (hBOOL(hAPP(hAPP(c_in(t_a),X1),c_Wellfounded_Oacc(X2,t_a)))|hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X3,X2),t_a,t_a)),X2))|~hBOOL(hAPP(hAPP(c_in(t_a),X4),c_Wellfounded_Oacc(X2,t_a))))).
% 4.99/1.24 cnf(i_0_2402, plain, (hBOOL(hAPP(hAPP(c_in(t_a),X1),c_Wellfounded_Oacc(X2,t_a)))|hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X3,X2),t_a,t_a)),X2))|~hBOOL(hAPP(hAPP(c_in(t_a),X4),c_Wellfounded_Oacc(X2,t_a))))).
% 4.99/1.24 cnf(i_0_2345, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),X2,t_a,t_a)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,X2,t_a,t_a)),c_Transitive__Closure_Ortrancl(X3,t_a))))).
% 4.99/1.24 cnf(i_0_1961, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2405, plain, (c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X1,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3)))|~c_Wellfounded_Owf(X4,X3))).
% 4.99/1.24 cnf(i_0_1885, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|c_lessequals(X3,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X2),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(X4,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1883, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X2),X4,X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1676, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X5),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X5))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X5,X3,X1)|~c_lessequals(X2,X4,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1406, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X4,X3,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2081, plain, (c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X1,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3)))|~c_Wellfounded_Oacyclic(X4,X3))).
% 4.99/1.24 cnf(i_0_1960, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1963, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1962, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1453, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1925, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1924, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1))))|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 4.99/1.24 cnf(i_0_1564, plain, (c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X7,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))|~c_lessequals(X2,X7,tc_fun(tc_prod(X4,X5),tc_bool))|~c_lessequals(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)))).
% 4.99/1.24 cnf(i_0_2434, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X1,X1),X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X2,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 4.99/1.24 cnf(i_0_2085, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1)))|~c_Equiv__Relations_Oequiv(X4,X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 4.99/1.24 cnf(i_0_1405, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4),X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1923, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),c_HOL_Ozero__class_Ozero(X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3))))|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 4.99/1.24 cnf(i_0_1454, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1451, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1455, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1449, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1509, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.99/1.24 cnf(i_0_1502, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 4.99/1.24 cnf(i_0_2337, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X4,X1,X2,X3),X3,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.24 cnf(i_0_2335, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X4,X3),X2,X3,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.24 cnf(i_0_1450, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2093, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X3),X4)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2091, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1538, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))|~class_Int_Onumber__ring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 4.99/1.24 cnf(i_0_2382, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Wellfounded_Omlex__prod(X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X5))|~c_lessequals(hAPP(X4,X2),hAPP(X4,X3),tc_nat))).
% 4.99/1.24 cnf(i_0_1956, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Power_Opower__class_Opower(X2,X3,X1))),c_Power_Opower__class_Opower(X2,X3,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.99/1.24 cnf(i_0_2585, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(v_P____)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))))).
% 4.99/1.24 cnf(i_0_1935, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)))))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1936, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)))),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2537, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(hAPP(X2,X3),hAPP(X2,X4),X1,X1)),X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X6,X6)),c_Pair(X3,X4,X6,X6)),c_Relation_Oinv__image(X5,X2,X1,X6))))).
% 4.99/1.24 cnf(i_0_1926, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4))|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_2046, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X4),X5))),X6),X2)|~class_Ring__and__Field_Ocomm__ring(X2)|~class_Ring__and__Field_Odvd(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X6),X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X5,X2))).
% 4.99/1.24 cnf(i_0_1662, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetprod(X2,X3,X4,X1)),c_Finite__Set_Osetprod(X2,X5,X4,X1))=c_Finite__Set_Osetprod(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X5,tc_fun(X4,tc_bool)),X4,X1)|c_Lattices_Olower__semilattice__class_Oinf(X3,X5,tc_fun(X4,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~class_OrderedGroup_Ocomm__monoid__mult(X1)|~c_Finite__Set_Ofinite(X5,X4)|~c_Finite__Set_Ofinite(X3,X4))).
% 4.99/1.24 cnf(i_0_2536, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Oinv__image(X4,X5,X6,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X6,X6)),c_Pair(hAPP(X5,X2),hAPP(X5,X3),X6,X6)),X4)))).
% 4.99/1.24 cnf(i_0_1927, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4)),X3)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_1697, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1698, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1532, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X5)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X5),X3))|~c_lessequals(X2,X4,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_2343, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),t_a,t_a)),c_Transitive__Closure_Ortrancl(X3,t_a)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,X2,t_a,t_a)),c_Transitive__Closure_Ortrancl(X3,t_a))))).
% 4.99/1.24 cnf(i_0_1690, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X5))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_2373, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X6,X2,X3,X4,X5)|hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X4)),c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5),X3,X4,X4)),X2)))).
% 4.99/1.24 cnf(i_0_2347, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X4,X3),X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.24 cnf(i_0_2336, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X4,X1,X2,X3),X2,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.24 cnf(i_0_2432, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Transitive__Closure_Ortrancl(X4,X3))))).
% 4.99/1.24 cnf(i_0_2074, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X5)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X5,X3,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 4.99/1.24 cnf(i_0_1399, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 4.99/1.24 cnf(i_0_2030, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 4.99/1.24 cnf(i_0_1712, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X5,X1))).
% 4.99/1.24 cnf(i_0_1582, plain, (c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(X3,X2,X4),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),X5),X4,X2)),tc_fun(X2,tc_bool))|~c_lessequals(c_Relation_OImage(X3,X1,X2,X4),X5,tc_fun(X4,tc_bool)))).
% 4.99/1.24 cnf(i_0_2080, plain, (c_Finite__Set_Osetprod(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),hAPP(X1,X2)),c_Finite__Set_Osetprod(X1,X3,X4,X5))|hBOOL(hAPP(hAPP(c_in(X4),X2),X3))|~class_OrderedGroup_Ocomm__monoid__mult(X5)|~c_Finite__Set_Ofinite(X3,X4))).
% 4.99/1.24 cnf(i_0_2269, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X4),X5)|~c_Equiv__Relations_Ocongruent2(X6,X7,X1,X8,X9,X10)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X8,X8)),c_Pair(X2,X4,X8,X8)),X6))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X9,X9)),c_Pair(X3,X5,X9,X9)),X7)))).
% 4.99/1.24 cnf(i_0_2355, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X3,X2,X4,X1),X1,X1)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2360, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X3,X4,X1),X4,X1,X1)),X2))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X4,X1,X1)),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2328, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBB(c_HOL_Oinverse__class_Odivide(X2),X3,X2,tc_fun(X2,X2),X1),X1,X2,X2),X4)),X5)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5)),X4)|~class_Ring__and__Field_Ofield(X2))).
% 4.99/1.24 cnf(i_0_1713, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5))|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,X4,X1))).
% 4.99/1.24 cnf(i_0_2521, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2522, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2327, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X2),X3,X2,tc_fun(X2,X2),X1),X1,X2,X2),X4)),X5)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5)),X4)|~class_Ring__and__Field_Osemiring__0(X2))).
% 4.99/1.24 cnf(i_0_1466, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X2,tc_bool)))|c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_Finite__Set_Ofinite(X5,X2)|~c_Finite__Set_Ofinite(X4,X2)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.99/1.24 cnf(i_0_1742, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)|~class_Ring__and__Field_Osemiring(X1))).
% 4.99/1.24 cnf(i_0_2086, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))|~c_Equiv__Relations_Oequiv(X5,X4,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X6),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool)))))).
% 4.99/1.24 cnf(i_0_2087, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))|~c_Equiv__Relations_Oequiv(X5,X4,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~c_lessequals(c_Relation_OImage(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool)))).
% 4.99/1.24 cnf(i_0_2290, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),X2),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~c_lessequals(X4,X3,tc_fun(tc_prod(X1,X1),tc_bool)))).
% 4.99/1.24 cnf(i_0_1407, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X2)),X3)),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)|~class_Ring__and__Field_Oring(X1))).
% 4.99/1.24 cnf(i_0_2362, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(X1,X2,X3),X2,t_a,t_a)),X3))|hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,X2,t_a,t_a)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,X2,t_a,t_a)),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,t_a),t_a,t_a,t_a))))).
% 4.99/1.24 cnf(i_0_1390, plain, (X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X4)),X5)),X6)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X4),X5)),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X5)),X6)|~class_Ring__and__Field_Oring(X2))).
% 4.99/1.24 cnf(i_0_2524, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 4.99/1.24 cnf(i_0_1508, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X5)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3))|X5=c_HOL_Ozero__class_Ozero(X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_2365, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X3,X4,X5,X6,X1,X7,X2),X1,X2)),X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X7)),c_Pair(X3,X4,X1,X7)),c_Relation_Orel__comp(X5,X6,X1,X2,X7))))).
% 4.99/1.24 cnf(i_0_2364, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X3,X4,X5,X6,X7,X2,X1),X4,X1,X2)),X6))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X7,X2)),c_Pair(X3,X4,X7,X2)),c_Relation_Orel__comp(X5,X6,X7,X1,X2))))).
% 4.99/1.24 cnf(i_0_2408, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X3,X2,X4,X1),X1,X1)),c_Transitive__Closure_Ortrancl(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2409, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X3,X4,X1),X4,X1,X1)),c_Transitive__Closure_Ortrancl(X2,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X4,X1,X1)),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2301, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_prod(X3,X3),tc_bool)),X2,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_prod(X3,X3),tc_bool)),X3))).
% 4.99/1.24 cnf(i_0_2540, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Relation_Orel__comp(X5,X6,X1,X7,X2)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X7,X2)),c_Pair(X8,X4,X7,X2)),X6))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X7)),c_Pair(X3,X8,X1,X7)),X5)))).
% 4.99/1.24 cnf(i_0_2340, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X3,X2,X4,X1),X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|hBOOL(hAPP(X3,X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(X3,X2)))).
% 4.99/1.24 cnf(i_0_2339, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X2,X3,X4,X1),X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(X2,X3)))).
% 4.99/1.24 cnf(i_0_2353, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X2,X1),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X2,X1),X1,X1)),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X3,X1,X1)),X2)))).
% 4.99/1.24 cnf(i_0_1974, plain, (hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X2),X5)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),X4),X3))|X5=c_HOL_Ozero__class_Ozero(X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.99/1.24 cnf(i_0_2363, plain, (c_Finite__Set_Osetprod(c_COMBS(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X3),X4,X3,X1,X1),X5,X3,X1)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetprod(X2,X5,X3,X1)),c_Finite__Set_Osetprod(X4,X5,X3,X1))|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 4.99/1.24 cnf(i_0_2208, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))|c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1)!=c_Relation_OImage(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1)|~c_Equiv__Relations_Oequiv(X5,X4,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5)))).
% 4.99/1.24 cnf(i_0_2291, plain, (c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)=c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)|~c_Equiv__Relations_Oequiv(X5,X1,X3)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1)))).
% 4.99/1.24 cnf(i_0_2541, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2331, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),c_COMBS(c_COMBB(c_HOL_Oplus__class_Oplus(X2),X3,X2,tc_fun(X2,X2),X1),X4,X1,X2,X2)),X5)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X4),X5))|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2569, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),X4))|hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X1,X3,X3)),X4))|~c_Relation_Ototal__on(X5,X4,X3)|~hBOOL(hAPP(hAPP(c_in(X3),X2),X5))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X5)))).
% 4.99/1.24 cnf(i_0_1463, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)),X5)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)),X6))))).
% 4.99/1.24 cnf(i_0_1465, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)),X6))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6))))).
% 4.99/1.24 cnf(i_0_2330, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(X2),X3,X2,tc_fun(X2,X2),X1),X4,X1,X2,X2)),X5)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X4),X5))|~class_OrderedGroup_Oab__group__add(X2))).
% 4.99/1.24 cnf(i_0_1367, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X4)),X5)),X6),X2)|~class_Ring__and__Field_Opordered__ring(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X4),X5)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X5)),X6),X2))).
% 4.99/1.24 cnf(i_0_1365, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5),X6,X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6),X1))).
% 4.99/1.24 cnf(i_0_1741, plain, (c_lessequals(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))|~c_Equiv__Relations_Oequiv(X5,X1,X3)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1)))).
% 4.99/1.24 cnf(i_0_2393, plain, (c_Finite__Set_Osetprod(c_COMBS(c_COMBB(c_HOL_Oinverse__class_Odivide(X1),X2,X1,tc_fun(X1,X1),X3),X4,X3,X1,X1),X5,X3,X1)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X1),c_Finite__Set_Osetprod(X2,X5,X3,X1)),c_Finite__Set_Osetprod(X4,X5,X3,X1))|~class_Ring__and__Field_Ofield(X1)|~c_Finite__Set_Ofinite(X5,X3)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.99/1.24 cnf(i_0_2083, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X2,X3,X4,X1),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X2,X3,X4,X1),X1,X1)),X4))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(X2,X3)))).
% 4.99/1.24 cnf(i_0_2084, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X2,X3,X4,X1),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X2,X3,X4,X1),X1,X1)),X4))|hBOOL(hAPP(X2,X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X5,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(X2,X3)))).
% 4.99/1.24 cnf(i_0_2586, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(v_P____))))).
% 4.99/1.24 cnf(i_0_1462, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X5),X2)),X3)),X6))))).
% 4.99/1.24 cnf(i_0_1397, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X2,tc_bool)))),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool))))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5))|~c_Finite__Set_Ofinite(X5,X2)|~c_Finite__Set_Ofinite(X4,X2)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.99/1.24 cnf(i_0_2419, plain, (c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X1),hAPP(c_fequal(X2),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X4,X2,X1,tc_fun(X1,X1)),X2,X1,X1),c_HOL_Oone__class_Oone(X1)),X5,X2,X1)=c_HOL_Oone__class_Oone(X1)|hBOOL(hAPP(hAPP(c_in(X2),X3),X5))|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 4.99/1.24 cnf(i_0_2430, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2422, plain, (c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X1),hAPP(c_fequal(X2),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X4,X2,X1,tc_fun(X1,X1)),X2,X1,X1),c_HOL_Oone__class_Oone(X1)),X5,X2,X1)=hAPP(X4,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X1)|~c_Finite__Set_Ofinite(X5,X2)|~hBOOL(hAPP(hAPP(c_in(X2),X3),X5)))).
% 4.99/1.24 cnf(i_0_1464, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X5)),X3)),X4)),X6)))).
% 4.99/1.24 cnf(i_0_2361, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X3,X2,X4,X1),X1,X1)),X3))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2358, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(X2,X3,X4,X1),X3,X1,X1)),X4))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_1368, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X5),X2)),X3)),X6),X1))).
% 4.99/1.24 cnf(i_0_1677, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5))),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool))))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X2,tc_bool)))|~class_OrderedGroup_Oab__group__add(X1)|~c_Finite__Set_Ofinite(X5,X2)|~c_Finite__Set_Ofinite(X4,X2))).
% 4.99/1.24 cnf(i_0_1659, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetprod(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Finite__Set_Osetprod(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X5,tc_bool)),X5,X1))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetprod(X2,X3,X5,X1)),c_Finite__Set_Osetprod(X2,X4,X5,X1))|~class_OrderedGroup_Ocomm__monoid__mult(X1)|~c_Finite__Set_Ofinite(X4,X5)|~c_Finite__Set_Ofinite(X3,X5))).
% 4.99/1.24 cnf(i_0_1366, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X5)),X3)),X4),X6,X1))).
% 4.99/1.24 cnf(i_0_2519, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2520, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),X4)))).
% 4.99/1.24 cnf(i_0_2437, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 4.99/1.24 cnf(i_0_2421, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X2),hAPP(c_fequal(X1),X3),tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),X4,X1,X2,tc_fun(X2,X2)),X1,X2,X2),c_HOL_Ozero__class_Ozero(X2))),X5)=c_HOL_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2420, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X2),hAPP(c_fequal(X1),X3),tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),X4,X1,X2,tc_fun(X2,X2)),X1,X2,X2),c_HOL_Ozero__class_Ozero(X2))),X5)=hAPP(X4,X3)|~c_Finite__Set_Ofinite(X5,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2552, plain, (c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(X1),hAPP(c_COMBC(c_in(X2),X2,tc_fun(X2,tc_bool),tc_bool),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X2,X1,tc_fun(X1,X1)),X4),X2,X1,X1),X5),X6,X2,X1)=X3|hBOOL(hAPP(hAPP(c_in(X1),X5),X6))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X6)))).
% 4.99/1.24 cnf(i_0_2412, plain, (c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(X1),hAPP(c_COMBC(c_in(X2),X2,tc_fun(X2,tc_bool),tc_bool),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X2,X1,tc_fun(X1,X1)),X4),X2,X1,X1),X5),X6,X2,X1)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X6))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X6)))).
% 4.99/1.24 cnf(i_0_2356, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,v_sko__Transitive__Closure__Xtrancl__Xcases__1(X1,X2,X3),t_a,t_a)),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,t_a),t_a,t_a,t_a)))|hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,X2,t_a,t_a)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(X1,X2,t_a,t_a)),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,t_a),t_a,t_a,t_a))))).
% 4.99/1.24 cnf(i_0_2548, plain, (c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X1),hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X4,X2,X1,tc_fun(X1,X1)),X2,X1,X1),c_HOL_Oone__class_Oone(X1)),X5,X2,X1)=c_HOL_Oone__class_Oone(X1)|hBOOL(hAPP(hAPP(c_in(X2),X3),X5))|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 4.99/1.24 cnf(i_0_2438, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 4.99/1.24 cnf(i_0_2359, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(X2,X3,X4,X1),X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2354, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X2,X3,X4,X1),X4,X1,X1)),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1)))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X4,X1,X1)),X2))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X4,X1,X1)),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2542, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X5,X1,X1)),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X1),X1,X1,X1))))).
% 4.99/1.24 cnf(i_0_2550, plain, (c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X1),hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X4,X2,X1,tc_fun(X1,X1)),X2,X1,X1),c_HOL_Oone__class_Oone(X1)),X5,X2,X1)=hAPP(X4,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X1)|~c_Finite__Set_Ofinite(X5,X2)|~hBOOL(hAPP(hAPP(c_in(X2),X3),X5)))).
% 4.99/1.24 cnf(i_0_2411, plain, (c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(X1),hAPP(c_COMBC(c_in(X2),X2,tc_fun(X2,tc_bool),tc_bool),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X2,X1,tc_fun(X1,X1)),X4),X2,X1,X1),X5),X6,X2,X1)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3)|hBOOL(hAPP(hAPP(c_in(X1),X4),X6))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X6)))).
% 4.99/1.24 cnf(i_0_2413, plain, (c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(X1),hAPP(c_COMBC(c_in(X2),X2,tc_fun(X2,tc_bool),tc_bool),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X2,X1,tc_fun(X1,X1)),X4),X2,X1,X1),X5),X6,X2,X1)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_in(X1),X4),X6))|hBOOL(hAPP(hAPP(c_in(X1),X5),X6)))).
% 4.99/1.24 cnf(i_0_2549, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X2),hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),X4,X1,X2,tc_fun(X2,X2)),X1,X2,X2),c_HOL_Ozero__class_Ozero(X2))),X5)=hAPP(X4,X3)|~c_Finite__Set_Ofinite(X5,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2342, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X2,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~c_Relation_Osingle__valued(X4,X1,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X3,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X5,X2,X1,X1)),c_Transitive__Closure_Ortrancl(X4,X1))))).
% 4.99/1.24 cnf(i_0_2551, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X2),hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),X4,X1,X2,tc_fun(X2,X2)),X1,X2,X2),c_HOL_Ozero__class_Ozero(X2))),X5)=c_HOL_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2410, plain, (c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X1),hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),X4,X2,X1,tc_fun(X1,X1)),X2,X1,X1),X5),X6,X2,X1)=c_Power_Opower__class_Opower(X5,c_Finite__Set_Ocard(X6,X2),X1)|hBOOL(hAPP(hAPP(c_in(X2),X3),X6))|~class_OrderedGroup_Ocomm__monoid__mult(X1)|~c_Finite__Set_Ofinite(X6,X2))).
% 4.99/1.24 cnf(i_0_2352, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(X3,X2),c_COMBC(X4,X3,X1,X2),tc_fun(X3,X2),tc_fun(tc_fun(X3,tc_bool),X2),X1),X1,tc_fun(X3,tc_bool),X2),X5)),X6)=hAPP(hAPP(c_Finite__Set_Osetsum(X3,X2),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(X1,X2),X4,tc_fun(X1,X2),tc_fun(tc_fun(X1,tc_bool),X2),X3),X3,tc_fun(X1,tc_bool),X2),X6)),X5)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2414, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),X4,X1,X2,tc_fun(X2,X2)),X1,X2,X2),c_HOL_Ozero__class_Ozero(X2))),X5)=hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X4),c_Lattices_Olower__semilattice__class_Oinf(X5,X3,tc_fun(X1,tc_bool)))|~c_Finite__Set_Ofinite(X5,X1)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 cnf(i_0_2212, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),X4,X1,X2,tc_fun(X2,X2)),X5,X1,X2,X2)),X6)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X4),c_Lattices_Olower__semilattice__class_Oinf(X6,X3,tc_fun(X1,tc_bool)))),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X2),X5),c_Lattices_Olower__semilattice__class_Oinf(X6,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool))))|~c_Finite__Set_Ofinite(X6,X1)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.99/1.24 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 4.99/1.24 # Begin printing tableau
% 4.99/1.24 # Found 4 steps
% 4.99/1.24 cnf(i_0_2620, negated_conjecture, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))), inference(start_rule)).
% 4.99/1.24 cnf(i_0_2691, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))), inference(extension_rule, [i_0_2150])).
% 4.99/1.24 cnf(i_0_3048, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Lattices_Olower__semilattice__class_Oinf(X7,v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))), inference(extension_rule, [i_0_2611])).
% 4.99/1.24 cnf(i_0_11727, plain, (~hBOOL(hAPP(hAPP(c_in(X6),c_Lattices_Olower__semilattice__class_Oinf(X7,v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))), inference(etableau_closure_rule, [i_0_11727, ...])).
% 4.99/1.24 # End printing tableau
% 4.99/1.24 # SZS output end
% 4.99/1.24 # Branches closed with saturation will be marked with an "s"
% 4.99/1.25 # Child (32592) has found a proof.
% 4.99/1.25
% 4.99/1.25 # Proof search is over...
% 4.99/1.25 # Freeing feature tree
%------------------------------------------------------------------------------