TSTP Solution File: ALG438-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ALG438-1 : 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 : n020.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 : Thu Jul 14 16:52:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG438-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 02:21:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.40 # No SInE strategy applied
% 0.19/0.40 # Auto-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S2q
% 0.19/0.40 # and selection function SelectCQArNTNp.
% 0.19/0.40 #
% 0.19/0.40 # Presaturation interreduction done
% 0.19/0.40 # Number of axioms: 392 Number of unprocessed: 341
% 0.19/0.40 # Tableaux proof search.
% 0.19/0.40 # APR header successfully linked.
% 0.19/0.40 # Hello from C++
% 0.19/0.41 # The folding up rule is enabled...
% 0.19/0.41 # Local unification is enabled...
% 0.19/0.41 # Any saturation attempts will use folding labels...
% 0.19/0.41 # 341 beginning clauses after preprocessing and clausification
% 0.19/0.41 # Creating start rules for all 1 conjectures.
% 0.19/0.41 # There are 1 start rule candidates:
% 0.19/0.41 # Found 24 unit axioms.
% 0.19/0.41 # 1 start rule tableaux created.
% 0.19/0.41 # 317 extension rule candidate clauses
% 0.19/0.41 # 24 unit axiom clauses
% 0.19/0.41
% 0.19/0.41 # Requested 8, 32 cores available to the main process.
% 0.19/0.41 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.41 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.19/0.41 # There were 0 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 0 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 0 successful branch saturations after the branch.
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_734, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_745, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_732, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_740, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_748, plain, (class_HOL_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_746, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_738, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_728, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_742, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_733, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_735, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_747, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_741, plain, (class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_730, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_729, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_739, plain, (class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_736, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_731, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_737, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_743, plain, (class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_744, plain, (class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_726, plain, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_727, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex))).
% 0.19/0.41 cnf(i_0_723, negated_conjecture, (c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))!=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)))).
% 0.19/0.41 cnf(i_0_758, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_783, plain, (class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 0.19/0.41 cnf(i_0_395, plain, (~c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_772, plain, (class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_766, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_600, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.41 cnf(i_0_602, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.41 cnf(i_0_601, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.41 cnf(i_0_750, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_754, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_749, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_759, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_771, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_755, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_784, plain, (class_HOL_Ozero(tc_Polynomial_Opoly(X1))|~class_HOL_Ozero(X1))).
% 0.19/0.41 cnf(i_0_779, plain, (class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.41 cnf(i_0_752, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_761, plain, (class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_769, plain, (class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_776, plain, (class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_773, plain, (class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_753, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_751, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_764, plain, (class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_762, plain, (class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_781, plain, (class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_780, plain, (class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_782, plain, (class_Orderings_Oorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_756, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.41 cnf(i_0_775, plain, (class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_765, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.41 cnf(i_0_774, plain, (class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.41 cnf(i_0_760, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_757, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_770, plain, (class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_767, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_763, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.41 cnf(i_0_768, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_777, plain, (class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_778, plain, (class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_724, plain, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_725, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 0.19/0.41 cnf(i_0_541, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.19/0.41 cnf(i_0_700, 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))).
% 0.19/0.41 cnf(i_0_515, plain, (c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_HOL_Ozero(X1))).
% 0.19/0.41 cnf(i_0_516, plain, (c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_430, plain, (c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 0.19/0.41 cnf(i_0_679, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.19/0.41 cnf(i_0_552, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.41 cnf(i_0_559, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.41 cnf(i_0_610, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.19/0.41 cnf(i_0_717, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.19/0.41 cnf(i_0_721, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.41 cnf(i_0_715, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))).
% 0.19/0.41 cnf(i_0_720, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_544, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.41 cnf(i_0_611, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.19/0.41 cnf(i_0_621, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.41 cnf(i_0_618, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.41 cnf(i_0_622, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.41 cnf(i_0_719, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.41 cnf(i_0_716, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.41 cnf(i_0_641, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 0.19/0.41 cnf(i_0_643, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2))).
% 0.19/0.41 cnf(i_0_650, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.41 cnf(i_0_449, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_608, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_607, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_693, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.41 cnf(i_0_646, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__algebra(X2))).
% 0.19/0.41 cnf(i_0_642, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 0.19/0.41 cnf(i_0_644, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.19/0.41 cnf(i_0_645, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.41 cnf(i_0_542, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.41 cnf(i_0_566, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_514, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Polynomial_OpCons(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_HOL_Ozero(X2))).
% 0.19/0.41 cnf(i_0_648, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1))).
% 0.19/0.41 cnf(i_0_517, plain, (c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.41 cnf(i_0_433, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.19/0.41 cnf(i_0_432, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.41 cnf(i_0_562, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|~class_Ring__and__Field_Odivision__ring(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.41 cnf(i_0_586, plain, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_575, plain, (X1=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)!=c_HOL_Oinverse__class_Oinverse(X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.41 cnf(i_0_694, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.41 cnf(i_0_685, plain, (X1=X2|c_Polynomial_OpCons(X3,X1,X4)!=c_Polynomial_OpCons(X5,X2,X4)|~class_HOL_Ozero(X4))).
% 0.19/0.41 cnf(i_0_660, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.41 cnf(i_0_396, plain, (c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_429, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_OpCons(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_HOL_Ozero(X2))).
% 0.19/0.41 cnf(i_0_587, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 0.19/0.41 cnf(i_0_431, plain, (c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.41 cnf(i_0_434, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 0.19/0.41 cnf(i_0_539, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=X3|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oinverse__class_Oinverse(X3,X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.41 cnf(i_0_609, plain, (c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_661, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X4))).
% 0.19/0.41 cnf(i_0_684, plain, (X1=X2|c_Polynomial_OpCons(X1,X3,X4)!=c_Polynomial_OpCons(X2,X5,X4)|~class_HOL_Ozero(X4))).
% 0.19/0.41 cnf(i_0_659, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)!=c_HOL_Oplus__class_Oplus(X2,X3,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.41 cnf(i_0_580, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_563, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_435, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1))=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.41 cnf(i_0_512, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_585, plain, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.41 cnf(i_0_522, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Osmult(X3,X1,X2)!=c_Polynomial_OpCons(X4,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 0.19/0.41 cnf(i_0_718, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.41 cnf(i_0_655, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.41 cnf(i_0_576, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.41 cnf(i_0_656, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_625, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1))).
% 0.19/0.41 cnf(i_0_690, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 0.19/0.41 cnf(i_0_691, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 0.19/0.41 cnf(i_0_699, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_554, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.41 cnf(i_0_518, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3=c_HOL_Ozero__class_Ozero(X2)|c_Polynomial_Osmult(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.41 cnf(i_0_428, plain, (X1=c_HOL_Ozero__class_Ozero(t_a)|c_Polynomial_Opoly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),X2,t_a)!=c_HOL_Ozero__class_Ozero(t_a)|~class_Ring__and__Field_Ocomm__semiring__0(t_a))).
% 0.19/0.41 cnf(i_0_638, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.41 cnf(i_0_461, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.41 cnf(i_0_662, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Int_Onumber__ring(X4)|~class_Ring__and__Field_Oidom(X4))).
% 0.19/0.41 cnf(i_0_397, plain, (c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)|~c_Polynomial_Opos__poly(X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.41 cnf(i_0_427, plain, (c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),X1,t_a)=c_HOL_Ozero__class_Ozero(t_a)|~class_Ring__and__Field_Ocomm__semiring__0(t_a))).
% 0.19/0.41 cnf(i_0_636, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2))!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 0.19/0.41 cnf(i_0_681, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.41 cnf(i_0_682, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.41 cnf(i_0_393, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opos__poly(X1,X2)|~c_Polynomial_Opos__poly(c_Polynomial_OpCons(X3,X1,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.41 cnf(i_0_620, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.41 cnf(i_0_686, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,X2,X3)|~class_OrderedGroup_Oab__semigroup__idem__mult(X3))).
% 0.19/0.41 cnf(i_0_627, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_506, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.41 cnf(i_0_505, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_496, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_714, plain, (c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_422, plain, (c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.41 cnf(i_0_626, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.41 cnf(i_0_573, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.41 cnf(i_0_584, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X3,X2)=c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2)|~class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 0.19/0.41 cnf(i_0_502, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 0.19/0.41 cnf(i_0_499, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 0.19/0.41 cnf(i_0_405, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.41 cnf(i_0_408, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.41 cnf(i_0_519, plain, (c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_508, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.19/0.41 cnf(i_0_509, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.41 cnf(i_0_712, plain, (c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X4)),X4)=c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Osmult(X1,X3,X4),tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ocomm__semiring__0(X4))).
% 0.19/0.41 cnf(i_0_713, plain, (c_Polynomial_Osmult(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X4)),X4)=c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(X1,X2,X4),X3,tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ocomm__semiring__0(X4))).
% 0.19/0.41 cnf(i_0_567, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.41 cnf(i_0_704, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_424, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.41 cnf(i_0_401, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.41 cnf(i_0_560, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_612, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.19/0.41 cnf(i_0_658, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=X4|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3)!=c_HOL_Oplus__class_Oplus(X5,X4,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.41 cnf(i_0_398, plain, (c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X3)),X3)|~c_Polynomial_Opos__poly(X2,X3)|~c_Polynomial_Opos__poly(X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.41 cnf(i_0_399, plain, (c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X3)|~c_Polynomial_Opos__poly(X2,X3)|~c_Polynomial_Opos__poly(X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.41 cnf(i_0_673, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_613, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_561, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_616, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.19/0.41 cnf(i_0_615, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_703, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.41 cnf(i_0_706, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__add(X3))).
% 0.19/0.41 cnf(i_0_678, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__mult(X3))).
% 0.19/0.41 cnf(i_0_564, plain, (c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3),X4,X3)=c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_614, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_617, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_604, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_550, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_549, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_629, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_630, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_547, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 0.19/0.41 cnf(i_0_594, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 0.19/0.41 cnf(i_0_606, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_400, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_Polynomial_Opos__poly(X3,X1)|~c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.41 cnf(i_0_603, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.41 cnf(i_0_478, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.41 cnf(i_0_477, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.41 cnf(i_0_394, plain, (c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3)=c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_501, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_498, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_507, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.41 cnf(i_0_504, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_680, plain, (c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X4),X4)=c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__0(X4))).
% 0.19/0.41 cnf(i_0_491, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.41 cnf(i_0_527, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.41 cnf(i_0_529, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.41 cnf(i_0_530, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.41 cnf(i_0_495, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_574, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_588, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_695, plain, (c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X4,X3),c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_696, plain, (c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X4)),X4)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ocomm__semiring__0(X4))).
% 0.19/0.41 cnf(i_0_595, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_633, plain, (c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X2,X4,X3),X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_591, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_598, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_589, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.41 cnf(i_0_596, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.41 cnf(i_0_565, plain, (c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X3),X4,X3)=c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X4,X3),c_Polynomial_Osynthetic__div(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_635, plain, (X1=c_Polynomial_Opoly(X2,X3,X4)|c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X5,X4),tc_Polynomial_Opoly(X4))!=c_Polynomial_OpCons(X1,X5,X4)|~class_Ring__and__Field_Ocomm__semiring__0(X4))).
% 0.19/0.41 cnf(i_0_634, plain, (X1=c_Polynomial_Osynthetic__div(X2,X3,X4)|c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X1,X4),tc_Polynomial_Opoly(X4))!=c_Polynomial_OpCons(X5,X1,X4)|~class_Ring__and__Field_Ocomm__semiring__0(X4))).
% 0.19/0.41 cnf(i_0_551, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_414, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.41 cnf(i_0_702, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 0.19/0.41 cnf(i_0_503, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.41 cnf(i_0_534, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))).
% 0.19/0.41 cnf(i_0_535, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.19/0.41 cnf(i_0_532, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))).
% 0.19/0.41 cnf(i_0_709, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.41 cnf(i_0_705, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.19/0.41 cnf(i_0_674, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.41 cnf(i_0_708, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_677, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_441, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.41 cnf(i_0_521, plain, (c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X3)),X4,X3)=c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X4,X3),c_Polynomial_Opoly(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_533, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.19/0.41 cnf(i_0_493, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_525, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_415, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.41 cnf(i_0_520, plain, (c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),X4,X3)=c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X4,X3),c_Polynomial_Opoly(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_666, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_670, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.19/0.41 cnf(i_0_672, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_592, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 0.19/0.41 cnf(i_0_668, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.19/0.41 cnf(i_0_511, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4))).
% 0.19/0.41 cnf(i_0_510, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4))).
% 0.19/0.41 cnf(i_0_474, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_473, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_665, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring(X3))).
% 0.19/0.41 cnf(i_0_683, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)!=c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.41 cnf(i_0_476, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_599, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.41 cnf(i_0_628, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.41 cnf(i_0_475, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_437, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 0.19/0.41 cnf(i_0_439, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 0.19/0.41 cnf(i_0_409, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_410, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_406, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_407, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_402, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~c_lessequals(X1,X4,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.41 cnf(i_0_425, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_590, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 0.19/0.41 cnf(i_0_423, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~c_lessequals(X2,X4,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.41 cnf(i_0_426, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_524, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(X1,X3,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4))).
% 0.19/0.41 cnf(i_0_412, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3))).
% 0.19/0.41 cnf(i_0_413, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3))).
% 0.19/0.41 cnf(i_0_497, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_418, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.41 cnf(i_0_523, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_479, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_597, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.19/0.41 cnf(i_0_631, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.41 cnf(i_0_500, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_460, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_458, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_464, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.41 cnf(i_0_632, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.41 cnf(i_0_513, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_417, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_416, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_494, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_480, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_471, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.41 cnf(i_0_470, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.41 cnf(i_0_448, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.41 cnf(i_0_447, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.41 cnf(i_0_444, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.41 cnf(i_0_442, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.41 cnf(i_0_459, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_419, plain, (c_Polynomial_Opcompose(c_Polynomial_OpCons(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),X3),c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opcompose(X2,X4,X3),tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_450, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 0.19/0.41 cnf(i_0_451, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 0.19/0.41 cnf(i_0_411, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))).
% 0.19/0.41 cnf(i_0_440, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_667, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X3)),c_HOL_Otimes__class_Otimes(X4,X2,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,tc_Polynomial_Opoly(X3)),X2,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_654, plain, (c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,tc_Polynomial_Opoly(X3)),X3)=c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.41 cnf(i_0_456, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_455, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 0.19/0.41 cnf(i_0_454, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 0.19/0.41 cnf(i_0_462, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.41 cnf(i_0_436, plain, (c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X3),X3),tc_Polynomial_Opoly(X3))=c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X3),c_Polynomial_Osynthetic__div(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_438, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 0.19/0.41 cnf(i_0_404, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_403, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_457, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 0.19/0.41 cnf(i_0_637, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X4,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X4,X3),X3),c_Polynomial_OpCons(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X4,X3),X3),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_483, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_484, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_487, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_711, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3),X5,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X5,X3),X3)|~class_Ring__and__Field_Osemiring(X3))).
% 0.19/0.41 cnf(i_0_488, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_481, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_467, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_528, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.41 cnf(i_0_468, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_469, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono1(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.41 cnf(i_0_652, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))).
% 0.19/0.41 cnf(i_0_545, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 0.19/0.41 cnf(i_0_546, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_663, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_482, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))).
% 0.19/0.41 cnf(i_0_486, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.19/0.41 cnf(i_0_689, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.41 cnf(i_0_465, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))).
% 0.19/0.41 cnf(i_0_526, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.41 cnf(i_0_466, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X2,X3))).
% 0.19/0.41 cnf(i_0_697, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.41 cnf(i_0_453, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_452, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_531, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_537, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 0.19/0.41 cnf(i_0_639, plain, (c_HOL_Otimes__class_Otimes(X1,c_Polynomial_OpCons(X2,X3,X4),tc_Polynomial_Opoly(X4))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X2,X1,X4),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X4)),X4),tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ocomm__semiring__0(X4))).
% 0.19/0.41 cnf(i_0_640, plain, (c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X4,X3),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,tc_Polynomial_Opoly(X3)),X3),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.19/0.41 cnf(i_0_623, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.41 cnf(i_0_624, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.41 cnf(i_0_536, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 cnf(i_0_538, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 3 steps
% 0.19/0.41 cnf(i_0_723, negated_conjecture, (c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))!=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(start_rule)).
% 0.19/0.41 cnf(i_0_785, plain, (c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))!=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(extension_rule, [i_0_640])).
% 0.19/0.41 cnf(i_0_1737, plain, (~class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_734])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # Returning from population with 18 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.41 # We now have 18 tableaux to operate on
% 0.19/0.41 # Found closed tableau during pool population.
% 0.19/0.41 # Proof search is over...
% 0.19/0.41 # Freeing feature tree
%------------------------------------------------------------------------------