TSTP Solution File: SCT086-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SCT086-1 : 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 : n021.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 21:24:33 EDT 2022
% Result : Unsatisfiable 4.76s 1.17s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SCT086-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 1 21:42:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.42/0.58 # No SInE strategy applied
% 0.42/0.58 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 0.42/0.58 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.42/0.58 #
% 0.42/0.58 # Number of axioms: 559 Number of unprocessed: 559
% 0.42/0.58 # Tableaux proof search.
% 0.42/0.58 # APR header successfully linked.
% 0.42/0.58 # Hello from C++
% 0.42/0.60 # The folding up rule is enabled...
% 0.42/0.60 # Local unification is enabled...
% 0.42/0.60 # Any saturation attempts will use folding labels...
% 0.42/0.60 # 559 beginning clauses after preprocessing and clausification
% 0.42/0.60 # Creating start rules for all 3 conjectures.
% 0.42/0.60 # There are 3 start rule candidates:
% 0.42/0.60 # Found 85 unit axioms.
% 0.42/0.60 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.42/0.60 # 3 start rule tableaux created.
% 0.42/0.60 # 474 extension rule candidate clauses
% 0.42/0.60 # 85 unit axiom clauses
% 0.42/0.60
% 0.42/0.60 # Requested 8, 32 cores available to the main process.
% 0.42/0.60 # There are not enough tableaux to fork, creating more from the initial 3
% 0.42/0.60 # Returning from population with 55 new_tableaux and 0 remaining starting tableaux.
% 0.42/0.60 # We now have 55 tableaux to operate on
% 4.76/1.17 # There were 1 total branch saturation attempts.
% 4.76/1.17 # There were 0 of these attempts blocked.
% 4.76/1.17 # There were 0 deferred branch saturation attempts.
% 4.76/1.17 # There were 0 free duplicated saturations.
% 4.76/1.17 # There were 1 total successful branch saturations.
% 4.76/1.17 # There were 0 successful branch saturations in interreduction.
% 4.76/1.17 # There were 0 successful branch saturations on the branch.
% 4.76/1.17 # There were 1 successful branch saturations after the branch.
% 4.76/1.17 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.76/1.17 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.76/1.17 # Begin clausification derivation
% 4.76/1.17
% 4.76/1.17 # End clausification derivation
% 4.76/1.17 # Begin listing active clauses obtained from FOF to CNF conversion
% 4.76/1.17 cnf(i_0_1083, negated_conjecture, (~v_thesis____)).
% 4.76/1.17 cnf(i_0_1116, plain, (class_Orderings_Obot(tc_bool))).
% 4.76/1.17 cnf(i_0_1110, plain, (class_Orderings_Obot(tc_nat))).
% 4.76/1.17 cnf(i_0_1112, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 4.76/1.17 cnf(i_0_1103, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 4.76/1.17 cnf(i_0_1111, plain, (class_Power_Opower(tc_nat))).
% 4.76/1.17 cnf(i_0_1098, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 4.76/1.17 cnf(i_0_1102, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 4.76/1.17 cnf(i_0_1097, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 4.76/1.17 cnf(i_0_1104, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 4.76/1.17 cnf(i_0_1113, plain, (class_Orderings_Opreorder(tc_bool))).
% 4.76/1.17 cnf(i_0_1107, plain, (class_Orderings_Opreorder(tc_nat))).
% 4.76/1.17 cnf(i_0_1094, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 4.76/1.17 cnf(i_0_1092, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 4.76/1.17 cnf(i_0_1101, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 4.76/1.17 cnf(i_0_1099, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 4.76/1.17 cnf(i_0_1106, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 4.76/1.17 cnf(i_0_1105, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 4.76/1.17 cnf(i_0_1114, plain, (class_Orderings_Oorder(tc_bool))).
% 4.76/1.17 cnf(i_0_1109, plain, (class_Orderings_Oorder(tc_nat))).
% 4.76/1.17 cnf(i_0_1108, plain, (class_Orderings_Olinorder(tc_nat))).
% 4.76/1.17 cnf(i_0_1091, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 4.76/1.17 cnf(i_0_1115, plain, (class_Orderings_Otop(tc_bool))).
% 4.76/1.17 cnf(i_0_1093, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 4.76/1.17 cnf(i_0_1100, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 4.76/1.17 cnf(i_0_1095, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 4.76/1.17 cnf(i_0_1096, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 4.76/1.17 cnf(i_0_840, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 4.76/1.17 cnf(i_0_842, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 4.76/1.17 cnf(i_0_631, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_636, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_635, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oordered__ab__group__add(X1))).
% 4.76/1.17 cnf(i_0_625, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.76/1.17 cnf(i_0_637, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.76/1.17 cnf(i_0_598, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Ouminus__class_Ouminus(X2,X1)!=X2|~class_OrderedGroup_Oordered__ab__group__add(X1))).
% 4.76/1.17 cnf(i_0_1090, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 4.76/1.17 cnf(i_0_1086, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 4.76/1.17 cnf(i_0_1087, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 4.76/1.17 cnf(i_0_1088, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 4.76/1.17 cnf(i_0_1089, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 4.76/1.17 cnf(i_0_624, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Ouminus__class_Ouminus(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_609, plain, (c_HOL_Ozero__class_Ozero(X1)=X2|c_HOL_Ouminus__class_Ouminus(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_591, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_592, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_590, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_594, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_593, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=X2|~class_Lattices_Oboolean__algebra(X1))).
% 4.76/1.17 cnf(i_0_629, plain, (X2=X3|c_HOL_Ouminus__class_Ouminus(X2,X1)!=c_HOL_Ouminus__class_Ouminus(X3,X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_628, plain, (X2=X3|c_HOL_Ouminus__class_Ouminus(X2,X1)!=c_HOL_Ouminus__class_Ouminus(X3,X1)|~class_Lattices_Oboolean__algebra(X1))).
% 4.76/1.17 cnf(i_0_1119, plain, (c_fequal(X1,X1,X2))).
% 4.76/1.17 cnf(i_0_879, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_878, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 4.76/1.17 cnf(i_0_825, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.76/1.17 cnf(i_0_828, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_827, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 4.76/1.17 cnf(i_0_843, plain, (c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(X1),X1)=X2|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_823, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.76/1.17 cnf(i_0_822, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_829, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_826, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 4.76/1.17 cnf(i_0_661, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oinverse__class_Odivide(X2,X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_662, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oinverse__class_Odivide(X2,X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_672, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_841, 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))).
% 4.76/1.17 cnf(i_0_737, plain, (c_Orderings_Opreorder(c_lessequals(X1),c_HOL_Oord__class_Oless(X1),X1)|~class_Orderings_Opreorder(X1))).
% 4.76/1.17 cnf(i_0_824, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 4.76/1.17 cnf(i_0_821, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.76/1.17 cnf(i_0_660, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oinverse__class_Odivide(X2,X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_731, plain, (c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_670, plain, (c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_671, plain, (c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_652, plain, (c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2))).
% 4.76/1.17 cnf(i_0_656, plain, (c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2)=X1)).
% 4.76/1.17 cnf(i_0_684, plain, (c_Relation_ORange(c_Relation_OId__on(X1,X2),X2,X2)=X1)).
% 4.76/1.17 cnf(i_0_563, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 4.76/1.17 cnf(i_0_673, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_1120, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 4.76/1.17 cnf(i_0_713, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=X1)).
% 4.76/1.17 cnf(i_0_712, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=X1)).
% 4.76/1.17 cnf(i_0_603, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_602, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.76/1.17 cnf(i_0_601, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_604, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_953, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X1)))).
% 4.76/1.17 cnf(i_0_955, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X1)))).
% 4.76/1.17 cnf(i_0_819, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oplus__class_Oplus(X2,X2,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 4.76/1.17 cnf(i_0_709, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1))).
% 4.76/1.17 cnf(i_0_1028, plain, (c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))).
% 4.76/1.17 cnf(i_0_634, plain, (c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1))).
% 4.76/1.17 cnf(i_0_734, plain, (X2=X3|X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oinverse__class_Odivide(X2,X3,X1)!=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_820, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 4.76/1.17 cnf(i_0_595, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 4.76/1.17 cnf(i_0_777, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 4.76/1.17 cnf(i_0_957, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Opreorder(X1))).
% 4.76/1.17 cnf(i_0_956, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Oorder(X1))).
% 4.76/1.17 cnf(i_0_622, plain, (X2=c_HOL_Ouminus__class_Ouminus(X3,X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_623, plain, (c_HOL_Ouminus__class_Ouminus(X2,X1)=X3|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_626, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 4.76/1.17 cnf(i_0_638, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 4.76/1.17 cnf(i_0_1029, plain, (c_HOL_Oplus__class_Oplus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X3,X2,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.76/1.17 cnf(i_0_1026, plain, (c_HOL_Oplus__class_Oplus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X3,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_1030, plain, (c_HOL_Oplus__class_Oplus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X3,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_630, plain, (X1=X3|c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool))!=c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)))).
% 4.76/1.17 cnf(i_0_986, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Otop__class_Otop(X1)))|~class_Orderings_Otop(X1))).
% 4.76/1.17 cnf(i_0_710, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 4.76/1.17 cnf(i_0_1018, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 4.76/1.17 cnf(i_0_582, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))|~class_Orderings_Obot(X1))).
% 4.76/1.17 cnf(i_0_937, plain, (hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(v_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=hAPP(c_HOL_Oord__class_Oless(tc_nat),v_n))).
% 4.76/1.17 cnf(i_0_686, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X1,X2,X3))).
% 4.76/1.17 cnf(i_0_1022, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)))).
% 4.76/1.17 cnf(i_0_1023, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)))).
% 4.76/1.17 cnf(i_0_846, plain, (c_List_Oall__from__to__nat(X1,X2,X3)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3)))).
% 4.76/1.17 cnf(i_0_759, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oone__class_Oone(X1)))|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.76/1.17 cnf(i_0_762, 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))).
% 4.76/1.17 cnf(i_0_1058, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 4.76/1.17 cnf(i_0_685, plain, (hBOOL(hAPP(hAPP(X1,X4),X4))|~c_Orderings_Oorder(X1,X2,X3))).
% 4.76/1.17 cnf(i_0_688, plain, (hBOOL(hAPP(hAPP(X1,X4),X4))|~c_Orderings_Opreorder(X1,X2,X3))).
% 4.76/1.17 cnf(i_0_692, plain, (hBOOL(hAPP(hAPP(X1,X2),X2))|~c_Orderings_Opreorder(X1,X3,X4))).
% 4.76/1.17 cnf(i_0_1070, plain, (X2=X3|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oplus__class_Oplus(X1,X3,tc_nat))).
% 4.76/1.17 cnf(i_0_1072, plain, (X2=X3|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oplus__class_Oplus(X1,X3,tc_nat))).
% 4.76/1.17 cnf(i_0_1071, plain, (X1=X3|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))).
% 4.76/1.17 cnf(i_0_599, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Oinverse__class_Odivide(X2,X3,X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_1019, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 4.76/1.17 cnf(i_0_1021, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 4.76/1.17 cnf(i_0_1020, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 4.76/1.17 cnf(i_0_605, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Oinverse__class_Odivide(X2,X3,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_681, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 4.76/1.17 cnf(i_0_682, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 4.76/1.17 cnf(i_0_1074, plain, (X3=X4|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Oplus__class_Oplus(X2,X4,X1)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 4.76/1.17 cnf(i_0_1075, plain, (X3=X4|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Oplus__class_Oplus(X2,X4,X1)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 4.76/1.17 cnf(i_0_1076, plain, (X2=X4|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Oplus__class_Oplus(X4,X3,X1)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 4.76/1.17 cnf(i_0_1073, plain, (X3=X4|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Oplus__class_Oplus(X2,X4,X1)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 4.76/1.17 cnf(i_0_649, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 4.76/1.17 cnf(i_0_976, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1))|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_1009, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_1011, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_566, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)=X3|~class_OrderedGroup_Oab__group__add(X1))).
% 4.76/1.17 cnf(i_0_565, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_1059, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 4.76/1.17 cnf(i_0_596, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_1025, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))))).
% 4.76/1.17 cnf(i_0_627, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 4.76/1.17 cnf(i_0_612, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_597, plain, (c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_653, plain, (~c_Orderings_Oorder(X3,X1,X4)|~hBOOL(hAPP(hAPP(X1,X2),X2)))).
% 4.76/1.17 cnf(i_0_658, plain, (~c_Orderings_Opreorder(X3,X1,X4)|~hBOOL(hAPP(hAPP(X1,X2),X2)))).
% 4.76/1.17 cnf(i_0_668, plain, (~c_Orderings_Olinorder(X3,X1,X4)|~hBOOL(hAPP(hAPP(X1,X2),X2)))).
% 4.76/1.17 cnf(i_0_669, plain, (~c_Orderings_Olinorder(X1,X2,X3)|~hBOOL(hAPP(hAPP(X2,X4),X4)))).
% 4.76/1.17 cnf(i_0_977, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_1062, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_1068, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_1066, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_1064, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_567, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1),X1)=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_1014, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__idom(X1))).
% 4.76/1.17 cnf(i_0_1003, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_1004, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_1007, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_1013, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_760, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_761, 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))))).
% 4.76/1.17 cnf(i_0_569, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 4.76/1.17 cnf(i_0_568, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.76/1.17 cnf(i_0_999, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_1000, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_965, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_966, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_967, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_703, plain, (hBOOL(hAPP(hAPP(X4,X3),X2))|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Olinorder(X4,X1,X5))).
% 4.76/1.17 cnf(i_0_705, plain, (hBOOL(hAPP(hAPP(X4,X3),X2))|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Olinorder(X4,X1,X5))).
% 4.76/1.17 cnf(i_0_701, plain, (hBOOL(hAPP(hAPP(X4,X3),X2))|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Olinorder(X1,X4,X5))).
% 4.76/1.17 cnf(i_0_706, plain, (hBOOL(hAPP(hAPP(X3,X2),X2))|hBOOL(hAPP(hAPP(X1,X2),X2))|~c_Orderings_Olinorder(X3,X1,X4))).
% 4.76/1.17 cnf(i_0_702, plain, (hBOOL(hAPP(hAPP(X1,X3),X2))|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Olinorder(X1,X4,X5))).
% 4.76/1.17 cnf(i_0_728, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X3),X2))|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Olinorder(X4,X1,X5))).
% 4.76/1.17 cnf(i_0_729, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X3),X2))|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Olinorder(X4,X1,X5))).
% 4.76/1.17 cnf(i_0_727, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X2),X1))|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_Orderings_Olinorder(X4,X3,X5))).
% 4.76/1.17 cnf(i_0_730, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X2),X1))|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_Orderings_Olinorder(X4,X3,X5))).
% 4.76/1.17 cnf(i_0_847, plain, (hBOOL(hAPP(X1,X2))|~c_List_Oall__from__to__nat(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3)))).
% 4.76/1.17 cnf(i_0_1010, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3)))).
% 4.76/1.17 cnf(i_0_564, plain, (X2=c_HOL_Ouminus__class_Ouminus(X4,X1)|c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)!=X3|~class_OrderedGroup_Oab__group__add(X1))).
% 4.76/1.17 cnf(i_0_997, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_998, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_963, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_964, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_968, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_969, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_970, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_971, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_972, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_973, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_932, plain, (c_Fun_Oinj__on(v_h____,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat))).
% 4.76/1.17 cnf(i_0_654, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X1,X4,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 4.76/1.17 cnf(i_0_659, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Opreorder(X1,X4,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 4.76/1.17 cnf(i_0_1012, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_606, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 4.76/1.17 cnf(i_0_786, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 4.76/1.17 cnf(i_0_787, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 4.76/1.17 cnf(i_0_788, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 4.76/1.17 cnf(i_0_795, plain, (X1=X2|hBOOL(hAPP(hAPP(X4,X1),X2))|~c_Orderings_Olinorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 4.76/1.17 cnf(i_0_789, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_Orderings_Oorder(X4,X3,X5)|~hBOOL(hAPP(hAPP(X4,X1),X2)))).
% 4.76/1.17 cnf(i_0_794, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_Orderings_Olinorder(X4,X3,X5)|~hBOOL(hAPP(hAPP(X4,X1),X2)))).
% 4.76/1.17 cnf(i_0_1016, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))))).
% 4.76/1.17 cnf(i_0_1015, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))))).
% 4.76/1.17 cnf(i_0_1017, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))))).
% 4.76/1.17 cnf(i_0_739, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_1042, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat))).
% 4.76/1.17 cnf(i_0_1043, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 4.76/1.17 cnf(i_0_849, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_850, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_865, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 4.76/1.17 cnf(i_0_864, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 4.76/1.17 cnf(i_0_866, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 4.76/1.17 cnf(i_0_877, 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)))).
% 4.76/1.17 cnf(i_0_641, 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)))).
% 4.76/1.17 cnf(i_0_621, 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)))).
% 4.76/1.17 cnf(i_0_1041, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)=c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.76/1.17 cnf(i_0_1045, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)=c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.76/1.17 cnf(i_0_1049, plain, (c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)=c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_1040, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_1047, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_1044, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 4.76/1.17 cnf(i_0_1050, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_1046, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 4.76/1.17 cnf(i_0_1048, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_586, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 4.76/1.17 cnf(i_0_587, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 4.76/1.17 cnf(i_0_589, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 4.76/1.17 cnf(i_0_1069, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 4.76/1.17 cnf(i_0_978, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_979, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_974, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_1065, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_1067, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 4.76/1.17 cnf(i_0_1063, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 4.76/1.17 cnf(i_0_975, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_1005, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_1006, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_1008, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_689, plain, (~c_Orderings_Opreorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 4.76/1.17 cnf(i_0_690, plain, (~c_Orderings_Opreorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 4.76/1.17 cnf(i_0_696, plain, (~c_Orderings_Opreorder(X1,X4,X5)|~hBOOL(hAPP(hAPP(X4,X3),X2))|~hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 4.76/1.17 cnf(i_0_700, plain, (~c_Orderings_Olinorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X3),X2))|~hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 4.76/1.17 cnf(i_0_699, plain, (~c_Orderings_Olinorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X1,X3),X2))|~hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 4.76/1.17 cnf(i_0_704, plain, (~c_Orderings_Olinorder(X1,X4,X5)|~hBOOL(hAPP(hAPP(X4,X3),X2))|~hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 4.76/1.17 cnf(i_0_707, plain, (~c_Orderings_Olinorder(X1,X3,X4)|~hBOOL(hAPP(hAPP(X3,X2),X2))|~hBOOL(hAPP(hAPP(X1,X2),X2)))).
% 4.76/1.17 cnf(i_0_722, plain, (X1=X2|~c_Orderings_Oorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 4.76/1.17 cnf(i_0_723, plain, (X1=X2|~c_Orderings_Oorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 4.76/1.17 cnf(i_0_724, plain, (X1=X2|~c_Orderings_Oorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 4.76/1.17 cnf(i_0_987, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X1),X1)))|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.76/1.17 cnf(i_0_619, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_615, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)))|~class_OrderedGroup_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_643, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)))|~class_Ring__and__Field_Oordered__idom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_651, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_585, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)))))).
% 4.76/1.17 cnf(i_0_588, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 4.76/1.17 cnf(i_0_778, plain, (c_List_Oall__from__to__nat(X1,X2,X3)|~hBOOL(hAPP(X1,X2))|~c_List_Oall__from__to__nat(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3))).
% 4.76/1.17 cnf(i_0_620, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_616, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_642, 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),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_607, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ouminus__class_Ouminus(X2,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_639, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ouminus__class_Ouminus(X2,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_583, plain, (~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 4.76/1.17 cnf(i_0_657, plain, (hBOOL(hAPP(hAPP(X4,X3),X2))|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Opreorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 4.76/1.17 cnf(i_0_763, plain, (X3=X4|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X2,X4,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.76/1.17 cnf(i_0_1024, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 4.76/1.17 cnf(i_0_954, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_919, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1)))|~class_Ring__and__Field_Oordered__semidom(X1))).
% 4.76/1.17 cnf(i_0_1051, plain, (c_HOL_Oplus__class_Oplus(X2,X4,X1)=X5|c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)!=c_HOL_Oplus__class_Oplus(X3,X5,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 4.76/1.17 cnf(i_0_857, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_855, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_1027, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X4))|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X2)))).
% 4.76/1.17 cnf(i_0_608, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_640, 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)),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_578, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_579, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_572, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_573, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_617, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_613, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2))|~class_OrderedGroup_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_694, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Opreorder(X5,X1,X6)|~hBOOL(hAPP(hAPP(X5,X2),X4))|~hBOOL(hAPP(hAPP(X1,X4),X3)))).
% 4.76/1.17 cnf(i_0_691, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Opreorder(X5,X1,X6)|~hBOOL(hAPP(hAPP(X1,X4),X3))|~hBOOL(hAPP(hAPP(X1,X2),X4)))).
% 4.76/1.17 cnf(i_0_695, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Opreorder(X4,X1,X6)|~hBOOL(hAPP(hAPP(X4,X5),X3))|~hBOOL(hAPP(hAPP(X1,X2),X5)))).
% 4.76/1.17 cnf(i_0_693, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Opreorder(X1,X5,X6)|~hBOOL(hAPP(hAPP(X1,X4),X3))|~hBOOL(hAPP(hAPP(X1,X2),X4)))).
% 4.76/1.17 cnf(i_0_632, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_610, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),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)))).
% 4.76/1.17 cnf(i_0_830, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_581, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 4.76/1.17 cnf(i_0_574, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 4.76/1.17 cnf(i_0_711, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ofield(X1))).
% 4.76/1.17 cnf(i_0_687, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 4.76/1.17 cnf(i_0_935, plain, (c_List_Oall__from__to__nat(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3)|~c_List_Oall__from__to__nat(X1,X2,X3)|~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3)))).
% 4.76/1.17 cnf(i_0_952, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_949, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_959, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_958, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3)))).
% 4.76/1.17 cnf(i_0_1038, 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)))).
% 4.76/1.17 cnf(i_0_951, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_950, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3)))).
% 4.76/1.17 cnf(i_0_1039, 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)))).
% 4.76/1.17 cnf(i_0_1052, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_1056, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_1053, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_1057, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_1031, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_1034, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_1032, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_1035, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_870, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_770, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_844, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_768, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X1)))).
% 4.76/1.17 cnf(i_0_618, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2)))).
% 4.76/1.17 cnf(i_0_614, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_OrderedGroup_Oordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2)))).
% 4.76/1.17 cnf(i_0_633, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_611, 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),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_744, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_745, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_876, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 4.76/1.17 cnf(i_0_580, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X3,X1)),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_575, 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),c_HOL_Ouminus__class_Ouminus(X3,X1)),c_HOL_Ouminus__class_Ouminus(X2,X1))))).
% 4.76/1.17 cnf(i_0_1077, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 4.76/1.17 cnf(i_0_576, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X3,X1)),X2)))).
% 4.76/1.17 cnf(i_0_577, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ouminus__class_Ouminus(X3,X1)),X2)))).
% 4.76/1.17 cnf(i_0_570, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ouminus__class_Ouminus(X3,X1)),X2)))).
% 4.76/1.17 cnf(i_0_571, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ouminus__class_Ouminus(X3,X1)),X2)))).
% 4.76/1.17 cnf(i_0_740, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(X2,X2,X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_650, plain, (hBOOL(hAPP(hAPP(c_lessequals(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_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_758, plain, (hBOOL(hAPP(hAPP(c_lessequals(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_lessequals(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.76/1.17 cnf(i_0_749, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(X2,X2,X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_683, 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)))).
% 4.76/1.17 cnf(i_0_584, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)))))).
% 4.76/1.17 cnf(i_0_769, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_833, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_836, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_852, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_851, 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),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_853, 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),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_873, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1))|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_856, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_775, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_875, plain, (X1=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_741, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(X2,X2,X1))))).
% 4.76/1.17 cnf(i_0_750, 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)),c_HOL_Oplus__class_Oplus(X2,X2,X1))))).
% 4.76/1.17 cnf(i_0_771, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_773, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_757, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oplus__class_Oplus(X3,X4,X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_742, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Oplus__class_Oplus(X3,X4,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_743, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Oplus__class_Oplus(X3,X4,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X4)))).
% 4.76/1.17 cnf(i_0_895, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oplus__class_Oplus(X3,X4,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_894, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oplus__class_Oplus(X3,X4,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_834, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1))))).
% 4.76/1.17 cnf(i_0_835, plain, (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)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1))))).
% 4.76/1.17 cnf(i_0_813, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_785, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Oordered__field(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))))).
% 4.76/1.17 cnf(i_0_766, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_765, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_767, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_698, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_782, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(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))))).
% 4.76/1.17 cnf(i_0_854, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_746, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_752, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1)),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))))).
% 4.76/1.17 cnf(i_0_755, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,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))))).
% 4.76/1.17 cnf(i_0_874, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.17 cnf(i_0_738, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(X2,X3,X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_814, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_892, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(X2,X3,X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_893, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(X2,X3,X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_756, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oplus__class_Oplus(X2,X3,X1)))|~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)))).
% 4.76/1.17 cnf(i_0_784, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Oordered__field(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)))).
% 4.76/1.17 cnf(i_0_697, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_783, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(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)))).
% 4.76/1.17 cnf(i_0_797, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 4.76/1.17 cnf(i_0_798, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 4.76/1.17 cnf(i_0_799, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 4.76/1.17 cnf(i_0_800, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 4.76/1.17 cnf(i_0_815, plain, (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),c_HOL_Ozero__class_Ozero(X1)),X4))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Oinverse__class_Odivide(X3,X4,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_790, plain, (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),c_HOL_Ozero__class_Ozero(X1)),X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oinverse__class_Odivide(X3,X4,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_962, plain, (X2=X6|c_Pair(X1,X2,X3,X4)!=c_Pair(X5,X6,X3,X4))).
% 4.76/1.17 cnf(i_0_961, plain, (X1=X5|c_Pair(X1,X2,X3,X4)!=c_Pair(X5,X6,X3,X4))).
% 4.76/1.17 cnf(i_0_831, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_838, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_984, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_985, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X1)))).
% 4.76/1.17 cnf(i_0_562, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1))))).
% 4.76/1.17 cnf(i_0_665, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X3,X2,X1))))).
% 4.76/1.17 cnf(i_0_664, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1))))).
% 4.76/1.17 cnf(i_0_663, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X3,X2,X1))))).
% 4.76/1.17 cnf(i_0_666, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1))))).
% 4.76/1.17 cnf(i_0_719, 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),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X3,X2,X1))))).
% 4.76/1.17 cnf(i_0_720, 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),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1))))).
% 4.76/1.17 cnf(i_0_721, 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),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X3,X2,X1))))).
% 4.76/1.17 cnf(i_0_718, 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),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Oinverse__class_Odivide(X2,X3,X1))))).
% 4.76/1.17 cnf(i_0_848, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_869, plain, (~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)))).
% 4.76/1.17 cnf(i_0_600, plain, (c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)))).
% 4.76/1.17 cnf(i_0_990, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_988, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X3)))).
% 4.76/1.17 cnf(i_0_946, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_948, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3)))).
% 4.76/1.17 cnf(i_0_816, plain, (hBOOL(hAPP(hAPP(c_lessequals(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),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Oinverse__class_Odivide(X4,X3,X1))))).
% 4.76/1.17 cnf(i_0_791, plain, (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),c_HOL_Ozero__class_Ozero(X1)),X3))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oinverse__class_Odivide(X4,X3,X1))))).
% 4.76/1.17 cnf(i_0_1054, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_1055, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_1033, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_867, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_858, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_860, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 4.76/1.17 cnf(i_0_996, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X3,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_992, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X3,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_994, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X2,X4,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 4.76/1.17 cnf(i_0_991, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X2,X4,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 4.76/1.17 cnf(i_0_982, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X3,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_983, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X3,X1)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_944, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X2,X4,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 4.76/1.17 cnf(i_0_980, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X2,X4,X1)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 4.76/1.17 cnf(i_0_748, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_897, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_896, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_751, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),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))))).
% 4.76/1.17 cnf(i_0_871, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_772, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_774, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_845, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X2)))).
% 4.76/1.17 cnf(i_0_796, plain, (X2=X4|c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)!=c_Power_Opower__class_Opower(X4,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_808, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_809, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_715, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__field(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)))).
% 4.76/1.17 cnf(i_0_714, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Oordered__field(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)))).
% 4.76/1.17 cnf(i_0_648, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.17 cnf(i_0_647, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.17 cnf(i_0_716, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(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)))).
% 4.76/1.17 cnf(i_0_717, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(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)))).
% 4.76/1.17 cnf(i_0_747, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_753, 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),c_HOL_Oplus__class_Oplus(X2,X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_754, 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_Oplus__class_Oplus(X2,X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_872, plain, (~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)))).
% 4.76/1.17 cnf(i_0_837, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.76/1.17 cnf(i_0_960, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Oplus__class_Oplus(X3,X4,X1)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Oplus__class_Oplus(X3,X5,X1))))).
% 4.76/1.17 cnf(i_0_817, plain, (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)),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),X4))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X4)))).
% 4.76/1.17 cnf(i_0_792, plain, (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)),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),X4))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X4)))).
% 4.76/1.17 cnf(i_0_1036, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_1001, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 4.76/1.17 cnf(i_0_561, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1)))|~class_OrderedGroup_Olordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_1061, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 4.76/1.17 cnf(i_0_1117, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 4.76/1.17 cnf(i_0_923, plain, (c_Orderings_Oorder(c_COMBC(c_lessequals(X1),X1,X1,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(X1),X1,X1,tc_bool),X1)|~class_Orderings_Oorder(X1))).
% 4.76/1.17 cnf(i_0_922, plain, (c_Orderings_Opreorder(c_COMBC(c_lessequals(X1),X1,X1,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(X1),X1,X1,tc_bool),X1)|~class_Orderings_Opreorder(X1))).
% 4.76/1.17 cnf(i_0_924, plain, (c_Orderings_Olinorder(c_COMBC(c_lessequals(X1),X1,X1,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(X1),X1,X1,tc_bool),X1)|~class_Orderings_Olinorder(X1))).
% 4.76/1.17 cnf(i_0_832, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_839, plain, (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)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.17 cnf(i_0_1037, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X5,X1)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_1079, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X5,X1)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 4.76/1.17 cnf(i_0_1078, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X5,X1)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5)))).
% 4.76/1.17 cnf(i_0_1002, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1)),c_HOL_Oplus__class_Oplus(X4,X5,X1)))|~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)))).
% 4.76/1.18 cnf(i_0_675, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_933, plain, (hBOOL(hAPP(hAPP(c_lessequals(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_lessequals(tc_nat),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.76/1.18 cnf(i_0_938, plain, (hBOOL(hAPP(hAPP(c_lessequals(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_lessequals(tc_nat),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.76/1.18 cnf(i_0_925, 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(tc_nat),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.76/1.18 cnf(i_0_927, 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(tc_nat),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X2)))).
% 4.76/1.18 cnf(i_0_644, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_677, plain, (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_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_732, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_863, plain, (c_Orderings_Oorder(c_COMBC(X1,X2,X2,tc_bool),c_COMBC(X3,X2,X2,tc_bool),X2)|~c_Orderings_Oorder(X1,X3,X2))).
% 4.76/1.18 cnf(i_0_861, plain, (c_Orderings_Opreorder(c_COMBC(X1,X2,X2,tc_bool),c_COMBC(X3,X2,X2,tc_bool),X2)|~c_Orderings_Opreorder(X1,X3,X2))).
% 4.76/1.18 cnf(i_0_862, plain, (c_Orderings_Olinorder(c_COMBC(X1,X2,X2,tc_bool),c_COMBC(X3,X2,X2,tc_bool),X2)|~c_Orderings_Olinorder(X1,X3,X2))).
% 4.76/1.18 cnf(i_0_680, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_646, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_676, 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),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_781, 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),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_667, plain, (hBOOL(hAPP(hAPP(c_lessequals(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_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.18 cnf(i_0_674, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.18 cnf(i_0_645, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_780, plain, (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_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1)),c_HOL_Ozero__class_Ozero(X1))))).
% 4.76/1.18 cnf(i_0_733, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3)))).
% 4.76/1.18 cnf(i_0_726, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 4.76/1.18 cnf(i_0_989, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))))).
% 4.76/1.18 cnf(i_0_947, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))))).
% 4.76/1.18 cnf(i_0_818, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_HOL_Ozero__class_Ozero(X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|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)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)),X2)))).
% 4.76/1.18 cnf(i_0_793, plain, (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)),X3))|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)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)),X2)))).
% 4.76/1.18 cnf(i_0_868, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.18 cnf(i_0_859, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))).
% 4.76/1.18 cnf(i_0_993, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X4,X2,X1)),c_HOL_Oplus__class_Oplus(X4,X3,X1))))).
% 4.76/1.18 cnf(i_0_995, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oplus__class_Oplus(X2,X4,X1)),c_HOL_Oplus__class_Oplus(X3,X4,X1))))).
% 4.76/1.18 cnf(i_0_945, 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),c_HOL_Oplus__class_Oplus(X4,X2,X1)),c_HOL_Oplus__class_Oplus(X4,X3,X1))))).
% 4.76/1.18 cnf(i_0_981, 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),c_HOL_Oplus__class_Oplus(X2,X4,X1)),c_HOL_Oplus__class_Oplus(X3,X4,X1))))).
% 4.76/1.18 cnf(i_0_736, plain, (hBOOL(hAPP(hAPP(c_lessequals(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_lessequals(tc_nat),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_HOL_Oone__class_Oone(X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2)))).
% 4.76/1.18 cnf(i_0_735, 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(tc_nat),X4),X3))|~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)))).
% 4.76/1.18 cnf(i_0_802, 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)))).
% 4.76/1.18 cnf(i_0_803, 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)))).
% 4.76/1.18 cnf(i_0_804, 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)))).
% 4.76/1.18 cnf(i_0_921, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.18 cnf(i_0_939, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X3))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_Power_Opower__class_Opower(X4,X2,X1)),c_Power_Opower__class_Opower(X4,X3,X1))))).
% 4.76/1.18 cnf(i_0_940, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X3))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_Power_Opower__class_Opower(X4,X2,X1)),c_Power_Opower__class_Opower(X4,X3,X1))))).
% 4.76/1.18 cnf(i_0_926, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X4,X2,X1)),c_Power_Opower__class_Opower(X4,X3,X1))))).
% 4.76/1.18 cnf(i_0_928, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oone__class_Oone(X1)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X4,X2,X1)),c_Power_Opower__class_Opower(X4,X3,X1))))).
% 4.76/1.18 cnf(i_0_811, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~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))))).
% 4.76/1.18 cnf(i_0_810, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X5)))).
% 4.76/1.18 cnf(i_0_807, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Ozero__class_Ozero(X1)),X5)))).
% 4.76/1.18 cnf(i_0_812, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X5),X3))|~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)))).
% 4.76/1.18 cnf(i_0_725, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 4.76/1.18 cnf(i_0_801, plain, (X2=X3|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))).
% 4.76/1.18 cnf(i_0_655, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)),c_HOL_Oone__class_Oone(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)))).
% 4.76/1.18 cnf(i_0_805, 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))))).
% 4.76/1.18 cnf(i_0_806, 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))))).
% 4.76/1.18 cnf(i_0_885, 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)),c_Arrow__Order__Mirabelle_Omkbot(X3,X1))))).
% 4.76/1.18 cnf(i_0_880, 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)),c_Arrow__Order__Mirabelle_Omktop(X3,X2))))).
% 4.76/1.18 cnf(i_0_1060, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 4.76/1.18 cnf(i_0_1118, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 4.76/1.18 cnf(i_0_911, 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)))).
% 4.76/1.18 cnf(i_0_898, 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)))).
% 4.76/1.18 cnf(i_0_901, 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)))).
% 4.76/1.18 cnf(i_0_920, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)),X3))|~class_Ring__and__Field_Oordered__field(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 4.76/1.18 cnf(i_0_930, 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))))).
% 4.76/1.18 cnf(i_0_931, 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))))).
% 4.76/1.18 cnf(i_0_883, 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)),c_Arrow__Order__Mirabelle_Omkbot(X3,X2))))).
% 4.76/1.18 cnf(i_0_887, 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)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))))).
% 4.76/1.18 cnf(i_0_884, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X2,X1))))).
% 4.76/1.18 cnf(i_0_888, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X2,X1))))).
% 4.76/1.18 cnf(i_0_708, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Ring__and__Field_Oordered__semidom(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_HOL_Ozero__class_Ozero(X1)),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)),c_Power_Opower__class_Opower(X3,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))))).
% 4.76/1.18 cnf(i_0_764, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X1,X2,X3,X3)),c_Relation_OId__on(X4,X3))))).
% 4.76/1.18 cnf(i_0_917, 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(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3))))).
% 4.76/1.18 cnf(i_0_918, 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(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3))))).
% 4.76/1.18 cnf(i_0_912, 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))))).
% 4.76/1.18 cnf(i_0_900, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Relation_Orefl__on(X3,X5,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X5)))).
% 4.76/1.18 cnf(i_0_899, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Relation_Orefl__on(X3,X5,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X5)))).
% 4.76/1.18 cnf(i_0_910, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Equiv__Relations_Oequiv(X3,X5,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X5)))).
% 4.76/1.18 cnf(i_0_909, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Equiv__Relations_Oequiv(X3,X5,X1)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X5)))).
% 4.76/1.18 cnf(i_0_905, 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)))).
% 4.76/1.18 cnf(i_0_906, 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)))).
% 4.76/1.18 cnf(i_0_907, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_ORange(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),c_Pair(X5,X2,X4,X1)),X3)))).
% 4.76/1.18 cnf(i_0_908, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_ORange(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),c_Pair(X5,X2,X4,X1)),X3)))).
% 4.76/1.18 cnf(i_0_929, 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))))).
% 4.76/1.18 cnf(i_0_915, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X3)))).
% 4.76/1.18 cnf(i_0_916, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X4),c_Wellfounded_Oacc(X3,X1)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X3)))).
% 4.76/1.18 cnf(i_0_913, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X6),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X6,X2,X5,X1)),X3)))).
% 4.76/1.18 cnf(i_0_914, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X6),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X6,X2,X5,X1)),X3)))).
% 4.76/1.18 cnf(i_0_902, plain, (X2=X3|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X3,X2,X1,X1)),X4))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))|~c_Relation_Ototal__on(X5,X4,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X5)))).
% 4.76/1.18 cnf(i_0_903, 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))))).
% 4.76/1.18 cnf(i_0_904, 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))))).
% 4.76/1.18 cnf(i_0_881, plain, (X2=X4|X1=X4|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)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))|~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)),X3)))).
% 4.76/1.18 cnf(i_0_889, plain, (X2=X4|X1=X4|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)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))|~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)),X3)))).
% 4.76/1.18 cnf(i_0_882, plain, (X2=X4|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)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))|~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)),X3)))).
% 4.76/1.18 cnf(i_0_890, plain, (X1=X4|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)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))|~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)),X3)))).
% 4.76/1.18 cnf(i_0_886, plain, (X2=X4|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)),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)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))))).
% 4.76/1.18 cnf(i_0_779, plain, (X1=X4|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)),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)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))))).
% 4.76/1.18 cnf(i_0_934, 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_lessequals(tc_nat),hAPP(X4,X2)),hAPP(X4,X3)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X5)))).
% 4.76/1.18 cnf(i_0_1082, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))))).
% 4.76/1.18 cnf(i_0_679, 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),X5),X6))|hBOOL(hAPP(hAPP(c_in(X1),X4),X6)))).
% 4.76/1.18 cnf(i_0_891, 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)))).
% 4.76/1.18 cnf(i_0_678, 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_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_in(X1),X4),X6))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X6)))).
% 4.76/1.18 cnf(i_0_936, 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)))).
% 4.76/1.18 cnf(i_0_941, plain, (hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),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_Arrow__Order__Mirabelle_OProf)))).
% 4.76/1.18 cnf(i_0_1081, 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)),hAPP(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____))))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))))).
% 4.76/1.18 cnf(i_0_1084, negated_conjecture, (v_thesis____|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,X1)),X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(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),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____)))))).
% 4.76/1.18 cnf(i_0_943, plain, (v_thesis____|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),v_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,X1)),X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(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),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____)))))).
% 4.76/1.18 cnf(i_0_1085, negated_conjecture, (v_thesis____|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))|~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)),hAPP(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),hAPP(v_n,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____))))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(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),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____)))))).
% 4.76/1.18 cnf(i_0_1080, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(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),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____)))))).
% 4.76/1.18 cnf(i_0_942, plain, (v_thesis____|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(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),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____))))|~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)),hAPP(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_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,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____)))))).
% 4.76/1.18 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 4.76/1.18 # Begin printing tableau
% 4.76/1.18 # Found 8 steps
% 4.76/1.18 cnf(i_0_1085, negated_conjecture, (v_thesis____|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))|~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)),hAPP(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),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),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____))))|~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(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),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____))))), inference(start_rule)).
% 4.76/1.18 cnf(i_0_1121, plain, (v_thesis____), inference(closure_rule, [i_0_1083])).
% 4.76/1.18 cnf(i_0_1122, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))), inference(closure_rule, [i_0_1082])).
% 4.76/1.18 cnf(i_0_1124, plain, (~hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(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),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),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____))))), inference(closure_rule, [i_0_1080])).
% 4.76/1.18 cnf(i_0_1123, 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)),hAPP(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),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),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____))))), inference(extension_rule, [i_0_779])).
% 4.76/1.18 cnf(i_0_2573, plain, (c_HOL_Oplus__class_Oplus(v_b____,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=v_b____), inference(closure_rule, [i_0_713])).
% 4.76/1.18 cnf(i_0_2575, 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)),c_Arrow__Order__Mirabelle_Omkbot(hAPP(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),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),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_HOL_Oplus__class_Oplus(v_b____,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))), inference(extension_rule, [i_0_1058])).
% 4.76/1.18 cnf(i_0_2772, plain, (~hBOOL(hAPP(c_Arrow__Order__Mirabelle_Omkbot(hAPP(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),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),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_HOL_Oplus__class_Oplus(v_b____,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))), inference(etableau_closure_rule, [i_0_2772, ...])).
% 4.76/1.18 # End printing tableau
% 4.76/1.18 # SZS output end
% 4.76/1.18 # Branches closed with saturation will be marked with an "s"
% 4.76/1.18 # Child (25855) has found a proof.
% 4.76/1.18
% 4.76/1.18 # Proof search is over...
% 4.76/1.18 # Freeing feature tree
%------------------------------------------------------------------------------