TSTP Solution File: ALG434-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ALG434-1 : 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 : n017.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 16:52:48 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG434-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 02:05:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.38 # No SInE strategy applied
% 0.12/0.38 # Auto-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S2q
% 0.12/0.38 # and selection function SelectCQArNTNp.
% 0.12/0.38 #
% 0.12/0.38 # Presaturation interreduction done
% 0.12/0.38 # Number of axioms: 441 Number of unprocessed: 394
% 0.12/0.38 # Tableaux proof search.
% 0.12/0.38 # APR header successfully linked.
% 0.12/0.38 # Hello from C++
% 0.12/0.38 # The folding up rule is enabled...
% 0.12/0.38 # Local unification is enabled...
% 0.12/0.38 # Any saturation attempts will use folding labels...
% 0.12/0.38 # 394 beginning clauses after preprocessing and clausification
% 0.12/0.38 # Creating start rules for all 1 conjectures.
% 0.12/0.38 # There are 1 start rule candidates:
% 0.12/0.38 # Found 34 unit axioms.
% 0.12/0.38 # 1 start rule tableaux created.
% 0.12/0.38 # 360 extension rule candidate clauses
% 0.12/0.38 # 34 unit axiom clauses
% 0.12/0.38
% 0.12/0.38 # Requested 8, 32 cores available to the main process.
% 0.12/0.38 # There are not enough tableaux to fork, creating more from the initial 1
% 0.12/0.38 # Closed tableau found in foldup close cycle with 0 folds and 2 closures done.
% 0.12/0.38 # There were 0 total branch saturation attempts.
% 0.12/0.38 # There were 0 of these attempts blocked.
% 0.12/0.38 # There were 0 deferred branch saturation attempts.
% 0.12/0.38 # There were 0 free duplicated saturations.
% 0.12/0.38 # There were 0 total successful branch saturations.
% 0.12/0.38 # There were 0 successful branch saturations in interreduction.
% 0.12/0.38 # There were 0 successful branch saturations on the branch.
% 0.12/0.38 # There were 0 successful branch saturations after the branch.
% 0.12/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 # Begin clausification derivation
% 0.12/0.38
% 0.12/0.38 # End clausification derivation
% 0.12/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.38 cnf(i_0_825, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_812, plain, (c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)))).
% 0.12/0.38 cnf(i_0_814, plain, (c_Ring__and__Field_Odvd__class_Odvd(v_q,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)))).
% 0.12/0.38 cnf(i_0_844, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_836, plain, (class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_834, plain, (class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_831, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_848, plain, (class_HOL_Ozero(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_823, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_820, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_832, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_840, plain, (class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_824, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_842, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_843, plain, (class_Ring__and__Field_Oring(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_835, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_847, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_819, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_846, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_828, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_845, plain, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_827, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_826, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_830, plain, (class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_837, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_829, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_838, plain, (class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_839, plain, (class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_821, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_822, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_841, plain, (class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_833, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_818, plain, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex))).
% 0.12/0.38 cnf(i_0_816, negated_conjecture, (~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)))).
% 0.12/0.38 cnf(i_0_468, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.12/0.38 cnf(i_0_875, plain, (class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1))).
% 0.12/0.38 cnf(i_0_858, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.12/0.38 cnf(i_0_873, plain, (class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.12/0.38 cnf(i_0_880, plain, (class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 0.12/0.38 cnf(i_0_877, plain, (class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.12/0.38 cnf(i_0_869, plain, (class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring(X1))).
% 0.12/0.38 cnf(i_0_867, plain, (class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.12/0.38 cnf(i_0_863, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.12/0.38 cnf(i_0_882, plain, (class_HOL_Ozero(tc_Polynomial_Opoly(X1))|~class_HOL_Ozero(X1))).
% 0.12/0.38 cnf(i_0_856, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.12/0.38 cnf(i_0_851, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.12/0.38 cnf(i_0_864, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_857, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_865, plain, (class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.12/0.38 cnf(i_0_876, plain, (class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring(X1))).
% 0.12/0.38 cnf(i_0_868, plain, (class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.12/0.38 cnf(i_0_881, plain, (class_Power_Opower(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_849, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.12/0.38 cnf(i_0_853, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.12/0.38 cnf(i_0_860, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_878, plain, (class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_879, plain, (class_Divides_Oring__div(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1))).
% 0.12/0.38 cnf(i_0_859, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.12/0.38 cnf(i_0_862, plain, (class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.12/0.38 cnf(i_0_850, plain, (class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.12/0.38 cnf(i_0_854, plain, (class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.12/0.38 cnf(i_0_870, plain, (class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_861, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.12/0.38 cnf(i_0_871, plain, (class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.12/0.38 cnf(i_0_872, plain, (class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.12/0.38 cnf(i_0_852, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.12/0.38 cnf(i_0_855, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.12/0.38 cnf(i_0_874, plain, (class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 0.12/0.38 cnf(i_0_866, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 0.12/0.38 cnf(i_0_817, plain, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.12/0.38 cnf(i_0_727, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.12/0.38 cnf(i_0_794, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.12/0.38 cnf(i_0_731, 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))).
% 0.12/0.38 cnf(i_0_587, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.12/0.38 cnf(i_0_535, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.12/0.38 cnf(i_0_792, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_732, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.12/0.38 cnf(i_0_764, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.12/0.38 cnf(i_0_779, plain, (c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_532, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Ouminus__class_Ouminus(X1,X2)!=X1|~class_OrderedGroup_Oordered__ab__group__add(X2))).
% 0.12/0.38 cnf(i_0_498, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.12/0.38 cnf(i_0_611, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.12/0.38 cnf(i_0_612, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_471, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Ouminus__class_Ouminus(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_739, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oabs__class_Oabs(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.12/0.38 cnf(i_0_572, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.12/0.38 cnf(i_0_771, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.12/0.38 cnf(i_0_584, 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))).
% 0.12/0.38 cnf(i_0_457, 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))).
% 0.12/0.38 cnf(i_0_644, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_648, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.12/0.38 cnf(i_0_475, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_476, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 0.12/0.38 cnf(i_0_613, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.12/0.38 cnf(i_0_487, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 0.12/0.38 cnf(i_0_571, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_531, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly__gcd(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_530, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly__gcd(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_807, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X1,X3),X2,tc_Polynomial_Opoly(X3)))).
% 0.12/0.38 cnf(i_0_555, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.12/0.38 cnf(i_0_489, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),X4,X1,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_663, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_Divides_Odiv__class_Omod(X2,X1,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_456, 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))).
% 0.12/0.38 cnf(i_0_556, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_684, plain, (c_Divides_Odiv__class_Omod(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.12/0.38 cnf(i_0_735, 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))).
% 0.12/0.38 cnf(i_0_734, 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))).
% 0.12/0.38 cnf(i_0_761, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3))).
% 0.12/0.38 cnf(i_0_551, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.12/0.38 cnf(i_0_775, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3))).
% 0.12/0.38 cnf(i_0_763, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.12/0.38 cnf(i_0_773, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3))).
% 0.12/0.38 cnf(i_0_553, 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))).
% 0.12/0.38 cnf(i_0_722, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.12/0.38 cnf(i_0_752, 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))).
% 0.12/0.38 cnf(i_0_753, 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))).
% 0.12/0.38 cnf(i_0_646, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))).
% 0.12/0.38 cnf(i_0_656, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.12/0.38 cnf(i_0_552, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 0.12/0.38 cnf(i_0_460, plain, (X1=X2|c_Polynomial_OpCons(X3,X1,X4)!=c_Polynomial_OpCons(X5,X2,X4)|~class_HOL_Ozero(X4))).
% 0.12/0.38 cnf(i_0_658, 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))).
% 0.12/0.38 cnf(i_0_659, 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))).
% 0.12/0.38 cnf(i_0_602, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.12/0.38 cnf(i_0_636, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.12/0.38 cnf(i_0_640, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.12/0.38 cnf(i_0_634, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))).
% 0.12/0.38 cnf(i_0_568, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.12/0.38 cnf(i_0_557, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_677, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.12/0.38 cnf(i_0_683, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.12/0.38 cnf(i_0_660, 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))).
% 0.12/0.38 cnf(i_0_459, plain, (X1=X2|c_Polynomial_OpCons(X1,X3,X4)!=c_Polynomial_OpCons(X2,X5,X4)|~class_HOL_Ozero(X4))).
% 0.12/0.38 cnf(i_0_788, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),X2,X3))).
% 0.12/0.38 cnf(i_0_639, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.12/0.38 cnf(i_0_638, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.12/0.38 cnf(i_0_635, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.12/0.38 cnf(i_0_570, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 0.12/0.38 cnf(i_0_569, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.12/0.38 cnf(i_0_445, 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))).
% 0.12/0.38 cnf(i_0_789, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3))).
% 0.12/0.38 cnf(i_0_559, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.12/0.38 cnf(i_0_458, 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))).
% 0.12/0.38 cnf(i_0_657, 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))).
% 0.12/0.38 cnf(i_0_444, 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))).
% 0.12/0.38 cnf(i_0_758, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X2,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_757, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X1,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_633, 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))).
% 0.12/0.38 cnf(i_0_554, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))=X1|~class_OrderedGroup_Oab__group__add(X2))).
% 0.12/0.38 cnf(i_0_674, plain, (c_Divides_Odiv__class_Odiv(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.12/0.38 cnf(i_0_718, 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))).
% 0.12/0.38 cnf(i_0_561, 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))).
% 0.12/0.38 cnf(i_0_707, 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))).
% 0.12/0.38 cnf(i_0_716, 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))).
% 0.12/0.38 cnf(i_0_710, 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))).
% 0.12/0.38 cnf(i_0_632, 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))).
% 0.12/0.38 cnf(i_0_766, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X4,X2,X3),tc_Polynomial_Opoly(X3)))).
% 0.12/0.38 cnf(i_0_767, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3)))).
% 0.12/0.38 cnf(i_0_804, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.12/0.38 cnf(i_0_717, 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))).
% 0.12/0.38 cnf(i_0_706, 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))).
% 0.12/0.38 cnf(i_0_715, 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))).
% 0.12/0.38 cnf(i_0_708, 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))).
% 0.12/0.38 cnf(i_0_665, 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))).
% 0.12/0.38 cnf(i_0_805, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.12/0.38 cnf(i_0_806, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))).
% 0.12/0.38 cnf(i_0_759, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X2),X3,X2),X1,tc_Polynomial_Opoly(X2)))).
% 0.12/0.38 cnf(i_0_575, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 0.12/0.38 cnf(i_0_637, 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))).
% 0.12/0.38 cnf(i_0_546, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.12/0.38 cnf(i_0_662, plain, (c_Divides_Odiv__class_Omod(X1,X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.12/0.38 cnf(i_0_696, plain, (c_Divides_Odiv__class_Odiv(X1,X2,tc_Polynomial_Opoly(X3))=X4|~c_Polynomial_Opdivmod__rel(X1,X2,X4,X5,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_604, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(X3))=X4|~c_Polynomial_Opdivmod__rel(X1,X2,X5,X4,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_499, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X1,X4,X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_728, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=c_Polynomial_Opoly__gcd(X2,X1,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_808, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4)))).
% 0.12/0.38 cnf(i_0_501, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X4,X1,X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_500, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X1,X4,X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_609, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_608, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.12/0.38 cnf(i_0_750, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_HOL_Oabs__class_Oabs(X1,X3)!=c_HOL_Oabs__class_Oabs(X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.12/0.38 cnf(i_0_774, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3))).
% 0.12/0.38 cnf(i_0_760, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3))).
% 0.12/0.38 cnf(i_0_772, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_Ring__and__Field_Ocomm__ring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2))).
% 0.12/0.38 cnf(i_0_607, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_762, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2))).
% 0.12/0.38 cnf(i_0_713, 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))).
% 0.12/0.38 cnf(i_0_712, 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))).
% 0.12/0.38 cnf(i_0_453, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_OpCons(X3,X1,X2)!=c_Polynomial_Osmult(X4,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 0.12/0.38 cnf(i_0_689, plain, (c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_799, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.12/0.38 cnf(i_0_486, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 0.12/0.38 cnf(i_0_651, plain, (c_HOL_Ominus__class_Ominus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.12/0.38 cnf(i_0_580, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_668, 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))).
% 0.12/0.38 cnf(i_0_481, plain, (c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1))).
% 0.12/0.38 cnf(i_0_547, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1))=c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.12/0.38 cnf(i_0_793, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.12/0.38 cnf(i_0_466, 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))).
% 0.12/0.38 cnf(i_0_642, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_653, plain, (c_HOL_Ominus__class_Ominus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_652, plain, (c_HOL_Ominus__class_Ominus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Int_Onumber__ring(X3))).
% 0.12/0.38 cnf(i_0_478, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X1,X6)|~c_Polynomial_Opdivmod__rel(X3,X4,X7,X2,X6)|~class_Ring__and__Field_Ofield(X6))).
% 0.12/0.38 cnf(i_0_687, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.12/0.38 cnf(i_0_795, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1))).
% 0.12/0.38 cnf(i_0_791, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4))).
% 0.12/0.38 cnf(i_0_790, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.12/0.38 cnf(i_0_685, 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))).
% 0.12/0.38 cnf(i_0_477, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X2,X5,X6)|~c_Polynomial_Opdivmod__rel(X3,X4,X1,X7,X6)|~class_Ring__and__Field_Ofield(X6))).
% 0.12/0.38 cnf(i_0_700, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_699, plain, (c_HOL_Ouminus__class_Ouminus(X1,X2)=X3|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_467, 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))).
% 0.12/0.38 cnf(i_0_781, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2)))).
% 0.12/0.38 cnf(i_0_785, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2)))).
% 0.12/0.38 cnf(i_0_682, plain, (c_Polynomial_Opdivmod__rel(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X1,X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_512, plain, (c_HOL_Ouminus__class_Ouminus(X1,X2)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2)|~class_Int_Onumber__ring(X2))).
% 0.12/0.38 cnf(i_0_583, 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))).
% 0.12/0.38 cnf(i_0_624, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)!=X4|~class_OrderedGroup_Oab__group__add(X3))).
% 0.12/0.38 cnf(i_0_627, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_741, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_740, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_581, plain, (c_Polynomial_Opoly__gcd(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X3)),X3)=c_Polynomial_Opoly__gcd(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_582, plain, (c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X3,X2)=c_Polynomial_Opoly__gcd(X1,X3,X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_787, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3)))).
% 0.12/0.38 cnf(i_0_675, plain, (c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X3,X2),tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ocomm__ring(X2))).
% 0.12/0.38 cnf(i_0_726, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))=c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_470, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_497, 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))).
% 0.12/0.38 cnf(i_0_496, 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))).
% 0.12/0.38 cnf(i_0_625, plain, (c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)=X2|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3))).
% 0.12/0.38 cnf(i_0_626, plain, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3)=X1|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.12/0.38 cnf(i_0_469, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)=X2|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_770, plain, (c_Polynomial_Osmult(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X3)),X3)=c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(X1,X2,X3),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__ring(X3))).
% 0.12/0.38 cnf(i_0_755, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ofield(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X4)))).
% 0.12/0.38 cnf(i_0_784, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2)))).
% 0.12/0.38 cnf(i_0_729, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_Ring__and__Field_Oring(X2))).
% 0.12/0.38 cnf(i_0_724, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)=X3|~class_OrderedGroup_Oab__group__add(X2))).
% 0.12/0.38 cnf(i_0_669, 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))).
% 0.12/0.38 cnf(i_0_485, 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))).
% 0.12/0.38 cnf(i_0_492, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_491, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3)=c_Divides_Odiv__class_Omod(X2,X1,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_725, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_782, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2)))).
% 0.12/0.38 cnf(i_0_661, plain, (c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.12/0.38 cnf(i_0_778, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.12/0.38 cnf(i_0_542, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X3,X2)|~class_Ring__and__Field_Oring(X2))).
% 0.12/0.38 cnf(i_0_493, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))).
% 0.12/0.38 cnf(i_0_673, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.38 cnf(i_0_797, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__ring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.12/0.38 cnf(i_0_800, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)|~class_Divides_Osemiring__div(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.12/0.38 cnf(i_0_649, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.12/0.38 cnf(i_0_563, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X4)),X5,tc_Polynomial_Opoly(X4))|~c_Polynomial_Opdivmod__rel(X1,X3,X2,X5,X4)|~class_Ring__and__Field_Ofield(X4))).
% 0.12/0.38 cnf(i_0_465, 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))).
% 0.12/0.38 cnf(i_0_813, 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))).
% 0.12/0.38 cnf(i_0_484, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Ring__and__Field_Oring(X3))).
% 0.12/0.38 cnf(i_0_541, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.12/0.38 cnf(i_0_483, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_Ring__and__Field_Oring(X3))).
% 0.12/0.38 cnf(i_0_620, plain, (c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.12/0.38 cnf(i_0_539, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.12/0.38 cnf(i_0_537, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.12/0.38 cnf(i_0_449, plain, (c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X3,X2)=c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X3,X2),X2)|~class_Ring__and__Field_Ocomm__ring(X2))).
% 0.12/0.38 cnf(i_0_809, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.12/0.38 cnf(i_0_743, 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))).
% 0.12/0.38 cnf(i_0_631, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.12/0.38 cnf(i_0_704, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.12/0.38 cnf(i_0_446, 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))).
% 0.12/0.38 cnf(i_0_777, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X4,X3),c_Divides_Odiv__class_Odiv(X2,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X3))).
% 0.12/0.38 cnf(i_0_630, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.12/0.38 cnf(i_0_560, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|X1=X2|c_HOL_Otimes__class_Otimes(X1,X1,X3)!=c_HOL_Otimes__class_Otimes(X2,X2,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.12/0.38 cnf(i_0_579, plain, (c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X3),X4,X3)=c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_748, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.12/0.38 cnf(i_0_598, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X2,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_599, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X3,tc_Polynomial_Opoly(X2))=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X3,tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.38 cnf(i_0_745, plain, (c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X3)),X2,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.38 cnf(i_0_810, 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))).
% 0.12/0.38 cnf(i_0_749, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.12/0.38 cnf(i_0_482, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.12/0.38 cnf(i_0_754, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(X1,X4,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3))).
% 0.12/0.38 cnf(i_0_513, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X2,X3),X3)|~class_Divides_Oring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.12/0.38 cnf(i_0_514, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)|~class_Divides_Oring__div(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2))).
% 0.12/0.38 cnf(i_0_590, 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))).
% 0.12/0.39 cnf(i_0_811, 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))).
% 0.12/0.39 cnf(i_0_803, plain, (c_Divides_Odiv__class_Odiv(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))=c_Polynomial_Osmult(X1,c_Divides_Odiv__class_Odiv(X2,X4,tc_Polynomial_Opoly(X3)),X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.39 cnf(i_0_780, plain, (c_Polynomial_Osmult(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_Polynomial_Opoly(X4)),X4)=c_Divides_Odiv__class_Omod(c_Polynomial_Osmult(X1,X2,X4),X3,tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ofield(X4))).
% 0.12/0.39 cnf(i_0_768, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.12/0.39 cnf(i_0_736, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.12/0.39 cnf(i_0_518, 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))).
% 0.12/0.39 cnf(i_0_589, 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))).
% 0.12/0.39 cnf(i_0_592, 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))).
% 0.12/0.39 cnf(i_0_769, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.12/0.39 cnf(i_0_461, plain, (c_Polynomial_Opoly(X1,X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X2,X3),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),X3),X3),X1,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Oidom(X3))).
% 0.12/0.39 cnf(i_0_670, plain, (c_Divides_Odiv__class_Omod(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))=c_Divides_Odiv__class_Omod(X1,X3,tc_Polynomial_Opoly(X4))|X2=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Ofield(X4))).
% 0.12/0.39 cnf(i_0_480, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.12/0.39 cnf(i_0_733, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=c_Polynomial_Opoly__gcd(X2,c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(X3)),X3)|X2=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.39 cnf(i_0_515, 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))).
% 0.12/0.39 cnf(i_0_692, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.12/0.39 cnf(i_0_442, 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))).
% 0.12/0.39 cnf(i_0_719, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.12/0.39 cnf(i_0_619, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X3))).
% 0.12/0.39 cnf(i_0_479, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.12/0.39 cnf(i_0_564, 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))).
% 0.12/0.39 cnf(i_0_698, plain, (c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X4,X3),c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ocomm__ring(X3))).
% 0.12/0.39 cnf(i_0_798, 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))).
% 0.12/0.39 cnf(i_0_765, plain, (c_Polynomial_Osmult(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_Polynomial_Opoly(X4)),X4)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),tc_Polynomial_Opoly(X4))|~class_Ring__and__Field_Ocomm__ring(X4))).
% 0.12/0.39 cnf(i_0_695, plain, (c_HOL_Oplus__class_Oplus(X1,X1,X2)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.12/0.39 cnf(i_0_529, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.12/0.39 cnf(i_0_503, plain, (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.12/0.39 cnf(i_0_443, 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))).
% 0.12/0.39 cnf(i_0_464, plain, (c_Polynomial_Opoly(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ozero__class_Ozero(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X2,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),X3),X3),X1,tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Oidom(X3))).
% 0.12/0.39 cnf(i_0_629, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(X1,X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.12/0.39 cnf(i_0_490, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 0.12/0.39 cnf(i_0_574, plain, (c_Polynomial_Opdivmod__rel(X1,X2,c_Divides_Odiv__class_Odiv(X1,X2,tc_Polynomial_Opoly(X3)),c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(X3)),X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.39 cnf(i_0_751, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X5,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.12/0.39 cnf(i_0_737, plain, (c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(X1,X2,tc_Polynomial_Opoly(X3)),X4,tc_Polynomial_Opoly(X3))=c_Divides_Odiv__class_Odiv(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.39 cnf(i_0_463, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X3,tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.12/0.39 cnf(i_0_452, plain, (c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,tc_Polynomial_Opoly(X2)),X2)=c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(X1,X3,X2),tc_Polynomial_Opoly(X2))|~class_OrderedGroup_Oab__group__add(X2))).
% 0.12/0.39 cnf(i_0_628, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X4))).
% 0.12/0.39 cnf(i_0_504, plain, (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))).
% 0.12/0.39 cnf(i_0_545, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 0.12/0.39 cnf(i_0_508, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Odvd(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X6,X4),X4),X3,X4),X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X6,X4)|~class_Ring__and__Field_Ocomm__ring(X4))).
% 0.12/0.39 cnf(i_0_495, 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))).
% 0.12/0.39 cnf(i_0_509, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3)=X1|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_462, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X3,tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.12/0.39 cnf(i_0_776, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X3),c_Divides_Odiv__class_Odiv(X4,X2,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.12/0.39 cnf(i_0_455, plain, (c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_Polynomial_Osmult(X1,X4,X3),X3)=c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))).
% 0.12/0.39 cnf(i_0_742, plain, (c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3)=X1|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_591, 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))).
% 0.12/0.39 cnf(i_0_511, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3)=X2|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_448, 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))).
% 0.12/0.39 cnf(i_0_447, 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))).
% 0.12/0.39 cnf(i_0_701, plain, (c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.12/0.39 cnf(i_0_578, plain, (c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),X4)=c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X4),X4)|~class_Ring__and__Field_Ofield(X4))).
% 0.12/0.39 cnf(i_0_450, plain, (c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(X1,X2,tc_Polynomial_Opoly(X3)),X4,X3)=c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X1,X4,X3),c_Polynomial_Opoly(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__ring(X3))).
% 0.12/0.39 cnf(i_0_588, 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))).
% 0.12/0.39 cnf(i_0_595, 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))).
% 0.12/0.39 cnf(i_0_519, 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))).
% 0.12/0.39 cnf(i_0_594, 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))).
% 0.12/0.39 cnf(i_0_544, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_Divides_Odiv__class_Odiv(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_527, 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))).
% 0.12/0.39 cnf(i_0_522, 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))).
% 0.12/0.39 cnf(i_0_614, plain, (c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(X2,X4,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.12/0.39 cnf(i_0_543, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_Divides_Odiv__class_Odiv(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_516, 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))).
% 0.12/0.39 cnf(i_0_721, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.12/0.39 cnf(i_0_720, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.12/0.39 cnf(i_0_796, plain, (c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X1,X2,X3),X4,c_Polynomial_Osmult(X1,X5,X3),c_Polynomial_Osmult(X1,X6,X3),X3)|~c_Polynomial_Opdivmod__rel(X2,X4,X5,X6,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.39 cnf(i_0_738, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.12/0.39 cnf(i_0_521, 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))).
% 0.12/0.39 cnf(i_0_524, 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))).
% 0.12/0.39 cnf(i_0_528, 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))).
% 0.12/0.39 cnf(i_0_616, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.12/0.39 cnf(i_0_746, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_747, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_690, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)|c_Divides_Odiv__class_Omod(X1,X3,X2)!=c_Divides_Odiv__class_Omod(X4,X3,X2)|~class_Divides_Oring__div(X2))).
% 0.12/0.39 cnf(i_0_600, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.12/0.39 cnf(i_0_621, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.12/0.39 cnf(i_0_667, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X4),X3,X4)|~class_Divides_Oring__div(X4))).
% 0.12/0.39 cnf(i_0_601, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_622, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_666, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 0.12/0.39 cnf(i_0_526, 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))).
% 0.12/0.39 cnf(i_0_534, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X3),c_HOL_Oone__class_Oone(X3),X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_693, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X4),X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Divides_Osemiring__div(X4))).
% 0.12/0.39 cnf(i_0_702, 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))).
% 0.12/0.39 cnf(i_0_566, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X4,X3),c_Divides_Odiv__class_Odiv(X2,X4,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X3))).
% 0.12/0.39 cnf(i_0_618, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.12/0.39 cnf(i_0_694, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4)=c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X4),X4)|X2=c_HOL_Ozero__class_Ozero(X4)|~class_Divides_Osemiring__div(X4))).
% 0.12/0.39 cnf(i_0_744, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X1,tc_Polynomial_Opoly(X2)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)),X1,X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.12/0.39 cnf(i_0_671, plain, (c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(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)),tc_Polynomial_Opoly(X1)),X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.12/0.39 cnf(i_0_672, plain, (c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.12/0.39 cnf(i_0_533, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_HOL_Oone__class_Oone(X3),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_688, plain, (c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oring__1(X2))).
% 0.12/0.39 cnf(i_0_586, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_691, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_655, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 0.12/0.39 cnf(i_0_606, 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))).
% 0.12/0.39 cnf(i_0_454, 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))).
% 0.12/0.39 cnf(i_0_451, plain, (c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X5,tc_Polynomial_Opoly(X3)),X3)=c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))|~class_OrderedGroup_Oab__group__add(X3))).
% 0.12/0.39 cnf(i_0_507, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X5),X5),X6,X5),X5)|~class_Ring__and__Field_Odvd(X5)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X6,X5),X5)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X5)|~class_Ring__and__Field_Ocomm__ring(X5))).
% 0.12/0.39 cnf(i_0_681, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3)=c_HOL_Oplus__class_Oplus(X2,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_680, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_650, 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))).
% 0.12/0.39 cnf(i_0_472, 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))).
% 0.12/0.39 cnf(i_0_488, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X4,X3),c_Divides_Odiv__class_Odiv(X2,X5,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X3))).
% 0.12/0.39 cnf(i_0_679, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)|~class_Ring__and__Field_Oring(X4))).
% 0.12/0.39 cnf(i_0_676, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)|~class_Ring__and__Field_Oring(X3))).
% 0.12/0.39 cnf(i_0_549, 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))).
% 0.12/0.39 cnf(i_0_548, 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))).
% 0.12/0.39 cnf(i_0_576, 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))).
% 0.12/0.39 cnf(i_0_494, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Odiv(X2,X1,tc_Polynomial_Opoly(X3)),X4,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3)),c_Divides_Odiv__class_Omod(X2,X1,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))=c_Divides_Odiv__class_Omod(X2,c_HOL_Otimes__class_Otimes(X1,X4,tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))|~class_Ring__and__Field_Ofield(X3))).
% 0.12/0.39 cnf(i_0_697, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_705, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.12/0.39 cnf(i_0_723, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Oring__div(X3))).
% 0.12/0.39 cnf(i_0_623, plain, (c_Polynomial_Opdivmod__rel(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X4)),X5,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X6,tc_Polynomial_Opoly(X4)),X7,tc_Polynomial_Opoly(X4)),X4)|~c_Polynomial_Opdivmod__rel(X8,X3,X5,X6,X4)|~c_Polynomial_Opdivmod__rel(X1,X2,X8,X7,X4)|~class_Ring__and__Field_Ofield(X4))).
% 0.12/0.39 cnf(i_0_605, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.12/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.12/0.39 # Begin printing tableau
% 0.12/0.39 # Found 4 steps
% 0.12/0.39 cnf(i_0_816, negated_conjecture, (~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(start_rule)).
% 0.12/0.39 cnf(i_0_883, plain, (~c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(extension_rule, [i_0_808])).
% 0.12/0.39 cnf(i_0_1210, plain, (~class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_824])).
% 0.12/0.39 cnf(i_0_1211, plain, (~c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(closure_rule, [i_0_812])).
% 0.12/0.39 # End printing tableau
% 0.12/0.39 # SZS output end
% 0.12/0.39 # Branches closed with saturation will be marked with an "s"
% 0.12/0.39 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.39 # We now have 11 tableaux to operate on
% 0.12/0.39 # Found closed tableau during pool population.
% 0.12/0.39 # Proof search is over...
% 0.12/0.39 # Freeing feature tree
%------------------------------------------------------------------------------