%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV629-1 : 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 : n025.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 : Wed Jul 20 18:22:56 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n025.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 15 19:41:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.39  # No SInE strategy applied
% 0.12/0.39  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.12/0.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.39  #
% 0.12/0.39  # Presaturation interreduction done
% 0.12/0.39  # Number of axioms: 389 Number of unprocessed: 287
% 0.12/0.39  # Tableaux proof search.
% 0.12/0.39  # APR header successfully linked.
% 0.12/0.39  # Hello from C++
% 0.19/0.40  # The folding up rule is enabled...
% 0.19/0.40  # Local unification is enabled...
% 0.19/0.40  # Any saturation attempts will use folding labels...
% 0.19/0.40  # 287 beginning clauses after preprocessing and clausification
% 0.19/0.40  # Creating start rules for all 1 conjectures.
% 0.19/0.40  # There are 1 start rule candidates:
% 0.19/0.40  # Found 90 unit axioms.
% 0.19/0.40  # 1 start rule tableaux created.
% 0.19/0.40  # 197 extension rule candidate clauses
% 0.19/0.40  # 90 unit axiom clauses
% 0.19/0.40  
% 0.19/0.40  # Requested 8, 32 cores available to the main process.
% 0.19/0.40  # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.40  # Returning from population with 9 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.40  # We now have 9 tableaux to operate on
% 0.19/0.42  # There were 1 total branch saturation attempts.
% 0.19/0.42  # There were 0 of these attempts blocked.
% 0.19/0.42  # There were 0 deferred branch saturation attempts.
% 0.19/0.42  # There were 0 free duplicated saturations.
% 0.19/0.42  # There were 1 total successful branch saturations.
% 0.19/0.42  # There were 0 successful branch saturations in interreduction.
% 0.19/0.42  # There were 0 successful branch saturations on the branch.
% 0.19/0.42  # There were 1 successful branch saturations after the branch.
% 0.19/0.42  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # Begin clausification derivation
% 0.19/0.42  
% 0.19/0.42  # End clausification derivation
% 0.19/0.42  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.42  cnf(i_0_773, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_760, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_743, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_761, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_774, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_746, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.19/0.42  cnf(i_0_768, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_698, plain, (c_Complex_Ocnj(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_712, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_722, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_742, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.19/0.42  cnf(i_0_759, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_749, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.19/0.42  cnf(i_0_771, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_754, plain, (class_Power_Opower(tc_nat))).
% 0.19/0.42  cnf(i_0_778, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_755, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_751, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.19/0.42  cnf(i_0_748, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.19/0.42  cnf(i_0_770, plain, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_766, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_745, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_765, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_744, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_763, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_747, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_769, plain, (class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_756, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_752, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.19/0.42  cnf(i_0_775, plain, (class_Nat_Osemiring__char__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_777, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_753, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 0.19/0.42  cnf(i_0_776, plain, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_767, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_764, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_750, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_772, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_762, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_757, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_758, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_541, plain, (c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_609, plain, (c_Complex_Ocnj(c_Complex_Ocnj(X1))=X1)).
% 0.19/0.42  cnf(i_0_617, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_558, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_716, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_410, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc# There were 1 total branch saturation attempts.
% 0.19/0.42  # There were 0 of these attempts blocked.
% 0.19/0.42  # There were 0 deferred branch saturation attempts.
% 0.19/0.42  # There were 0 free duplicated saturations.
% 0.19/0.42  # There were 1 total successful branch saturations.
% 0.19/0.42  # There were 0 successful branch saturations in interreduction.
% 0.19/0.42  # There were 0 successful branch saturations on the branch.
% 0.19/0.42  # There were 1 successful branch saturations after the branch.
% 0.19/0.42  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # Begin clausification derivation
% 0.19/0.42  
% 0.19/0.42  # End clausification derivation
% 0.19/0.42  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.42  cnf(i_0_773, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_760, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_743, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_761, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_774, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_746, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.19/0.42  cnf(i_0_768, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_698, plain, (c_Complex_Ocnj(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_712, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_722, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_742, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.19/0.42  cnf(i_0_759, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_749, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.19/0.42  cnf(i_0_771, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_754, plain, (class_Power_Opower(tc_nat))).
% 0.19/0.42  cnf(i_0_778, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_755, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_751, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.19/0.42  cnf(i_0_748, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.19/0.42  cnf(i_0_770, plain, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_766, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_745, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_765, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_744, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_763, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_747, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_769, plain, (class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_756, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_752, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.19/0.42  cnf(i_0_775, plain, (class_Nat_Osemiring__char__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_777, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_753, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 0.19/0.42  cnf(i_0_776, plain, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_767, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_764, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_750, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_772, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_762, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_757, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_758, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_541, plain, (c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_609, plain, (c_Complex_Ocnj(c_Complex_Ocnj(X1))=X1)).
% 0.19/0.42  cnf(i_0_617, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_558, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_716, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_410, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_600, plain, (c_GCD_Ogcd__class_Ogcd(X1,X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_717, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_551, plain, (c_GCD_Ogcd__class_Olcm(X1,X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_626, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_721, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.42  cnf(i_0_703, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_731, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_704, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_730, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_596, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_595, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_723, plain, (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_446, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_634, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_445, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_635, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_429, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_430, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_581, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.42  cnf(i_0_582, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.42  cnf(i_0_399, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_390, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_575, plain, (c_Complex_Ocnj(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex))=c_Power_Opower__class_Opower(c_Complex_Ocnj(X1),X2,tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_676, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_648, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_599, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_623, plain, (c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_654, plain, (c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_467, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_594, plain, (c_HOL_Otimes__class_Otimes(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_477, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_476, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_550, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd# There were 1 total branch saturation attempts.
% 0.19/0.42  # There were 0 of these attempts blocked.
% 0.19/0.42  # There were 0 deferred branch saturation attempts.
% 0.19/0.42  # There were 0 free duplicated saturations.
% 0.19/0.42  # There were 1 total successful branch saturations.
% 0.19/0.42  # There were 0 successful branch saturations in interreduction.
% 0.19/0.42  # There were 0 successful branch saturations on the branch.
% 0.19/0.42  # There were 1 successful branch saturations after the branch.
% 0.19/0.42  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # Begin clausification derivation
% 0.19/0.42  
% 0.19/0.42  # End clausification derivation
% 0.19/0.42  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.42  cnf(i_0_773, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_760, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_743, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_761, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_774, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_746, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.19/0.42  cnf(i_0_768, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_698, plain, (c_Complex_Ocnj(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_712, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_722, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_742, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.19/0.42  cnf(i_0_759, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_749, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.19/0.42  cnf(i_0_771, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_754, plain, (class_Power_Opower(tc_nat))).
% 0.19/0.42  cnf(i_0_778, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_755, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_751, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.19/0.42  cnf(i_0_748, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.19/0.42  cnf(i_0_770, plain, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_766, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_745, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_765, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_744, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_763, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_747, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_769, plain, (class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_756, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_752, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.19/0.42  cnf(i_0_775, plain, (class_Nat_Osemiring__char__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_777, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_753, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 0.19/0.42  cnf(i_0_776, plain, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_767, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_764, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_750, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_772, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_762, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_757, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_758, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_541, plain, (c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_609, plain, (c_Complex_Ocnj(c_Complex_Ocnj(X1))=X1)).
% 0.19/0.42  cnf(i_0_617, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_558, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_716, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_410, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc__class_Olcm(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_673, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_610, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_543, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_622, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_653, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X2,c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_702, plain, (c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.42  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_663, plain, (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.42  cnf(i_0_694, plain, (c_FFT__Mirabelle_Oroot(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_715, plain, (~c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_490, plain, (c_Fact_Ofact__class_Ofact(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_711, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.42  cnf(i_0_695, plain, (~c_Int_Oiszero(c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_659, plain, (X1=X2|c_Complex_Ocnj(X1)!=c_Complex_Ocnj(X2))).
% 0.19/0.42  cnf(i_0_658, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Complex_Ocnj(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_571, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X1,tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Nat_Osemiring__char__0(X2))).
% 0.19/0.42  cnf(i_0_643, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Int_Oiszero(X1,X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.42  cnf(i_0_662, plain, (c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_719, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_705, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_706, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_489, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_411, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_682, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_710, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_683, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_514, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=X2)).
% 0.19/0.42  cnf(i_0_693, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_692, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_545, 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))).
% 0.19/0.42  cnf(i_0_669, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=X1)).
% 0.19/0.42  cnf(i_0_513, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X1,_nat))).
% 0.19/0.42  cnf(i_0_600, plain, (c_GCD_Ogcd__class_Ogcd(X1,X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_717, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_551, plain, (c_GCD_Ogcd__class_Olcm(X1,X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_626, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_721, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.42  cnf(i_0_703, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_731, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_704, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_730, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_596, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_595, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_723, plain, (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_446, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_634, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_445, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_635, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_429, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_430, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_581, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.42  cnf(i_0_582, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.42  cnf(i_0_399, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_390, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_575, plain, (c_Complex_Ocnj(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex))=c_Power_Opower__class_Opower(c_Complex_Ocnj(X1),X2,tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_676, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_648, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_599, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_623, plain, (c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_654, plain, (c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_467, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_594, plain, (c_HOL_Otimes__class_Otimes(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_477, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_476, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_550, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_OgcdX2,tc_nat)!=X2)).
% 0.19/0.42  cnf(i_0_564, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_714, 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))).
% 0.19/0.42  cnf(i_0_671, 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))).
% 0.19/0.42  cnf(i_0_657, 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))).
% 0.19/0.42  cnf(i_0_565, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.19/0.42  cnf(i_0_392, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_701, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_625, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 0.19/0.42  cnf(i_0_457, 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))).
% 0.19/0.42  cnf(i_0_530, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_504, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_667, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_668, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_696, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))).
% 0.19/0.42  cnf(i_0_487, 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))).
% 0.19/0.42  cnf(i_0_507, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.19/0.42  cnf(i_0_517, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_512, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_652, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.42  cnf(i_0_453, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.19/0.42  cnf(i_0_627, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_720, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.42  cnf(i_0_420, 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))).
% 0.19/0.42  cnf(i_0_736, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_RealVector_Oreal__normed__algebra__1(X1))).
% 0.19/0.42  cnf(i_0_700, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.42  cnf(i_0_605, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_650, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.19/0.42  cnf(i_0_400, plain, (c_Ring__and__Field_Odvd___class_Olcm(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_673, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_610, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_543, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_622, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_653, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X2,c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_702, plain, (c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.42  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_663, plain, (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.42  cnf(i_0_694, plain, (c_FFT__Mirabelle_Oroot(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_715, plain, (~c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_490, plain, (c_Fact_Ofact__class_Ofact(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_711, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.42  cnf(i_0_695, plain, (~c_Int_Oiszero(c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_659, plain, (X1=X2|c_Complex_Ocnj(X1)!=c_Complex_Ocnj(X2))).
% 0.19/0.42  cnf(i_0_658, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Complex_Ocnj(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_571, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X1,tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Nat_Osemiring__char__0(X2))).
% 0.19/0.42  cnf(i_0_643, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Int_Oiszero(X1,X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.42  cnf(i_0_662, plain, (c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_719, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_705, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_706, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_489, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_411, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_682, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_710, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.42  cnf(i_0_683, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_514, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=X2)).
% 0.19/0.42  cnf(i_0_693, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_692, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_545, 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))).
% 0.19/0.42  cnf(i_0_669, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=X1)).
% 0.19/0.42  cnf(i_0_513, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X1,_class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X3,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_401, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_606, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_651, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 0.19/0.42  cnf(i_0_520, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X3,X1,tc_nat),X2,tc_nat))).
% 0.19/0.42  cnf(i_0_713, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_740, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.19/0.42  cnf(i_0_423, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_521, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.42  cnf(i_0_738, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_607, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.42  cnf(i_0_608, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.42  cnf(i_0_697, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.42  cnf(i_0_546, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.42  cnf(i_0_646, 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))).
% 0.19/0.42  cnf(i_0_644, 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))).
% 0.19/0.42  cnf(i_0_454, 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))).
% 0.19/0.42  cnf(i_0_732, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_726, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.42  cnf(i_0_488, 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))).
% 0.19/0.42  cnf(i_0_729, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.42  cnf(i_0_728, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 0.19/0.42  cnf(i_0_727, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.42  cnf(i_0_672, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_505, 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))).
% 0.19/0.42  cnf(i_0_422, plaiX2,tc_nat)!=X2)).
% 0.19/0.42  cnf(i_0_564, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_714, 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))).
% 0.19/0.42  cnf(i_0_671, 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))).
% 0.19/0.42  cnf(i_0_657, 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))).
% 0.19/0.42  cnf(i_0_565, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.19/0.42  cnf(i_0_392, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_701, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_625, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 0.19/0.42  cnf(i_0_457, 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))).
% 0.19/0.42  cnf(i_0_530, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_504, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_667, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_668, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_696, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))).
% 0.19/0.42  cnf(i_0_487, 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))).
% 0.19/0.42  cnf(i_0_507, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.19/0.42  cnf(i_0_517, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_512, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_652, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.42  cnf(i_0_453, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.19/0.42  cnf(i_0_627, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_720, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.42  cnf(i_0_420, 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))).
% 0.19/0.42  cnf(i_0_736, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_RealVector_Oreal__normed__algebra__1(X1))).
% 0.19/0.42  cnf(i_0_700, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.42  cnf(i_0_605, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_650, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.19/0.42  cnf(i_0_400, plain, (c_Ring__and__Field_Odvd_n, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 0.19/0.42  cnf(i_0_709, 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))).
% 0.19/0.42  cnf(i_0_614, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_539, 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))).
% 0.19/0.42  cnf(i_0_552, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.42  cnf(i_0_506, 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))).
% 0.19/0.42  cnf(i_0_444, 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))).
% 0.19/0.42  cnf(i_0_443, 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))).
% 0.19/0.42  cnf(i_0_631, 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))).
% 0.19/0.42  cnf(i_0_531, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.42  cnf(i_0_613, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_522, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_604, 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))).
% 0.19/0.42  cnf(i_0_481, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_640, 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))).
% 0.19/0.42  cnf(i_0_642, 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))).
% 0.19/0.42  cnf(i_0_636, 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))).
% 0.19/0.42  cnf(i_0_475, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_523, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_405, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_455, 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))).
% 0.19/0.42  cnf(i_0_598, 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))).
% 0.19/0.42  cnf(i_0_555, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 0.19/0.42  cnf(i_0_630, 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))).
% 0.19/0.42  cnf(i_0_639, 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__zer# There were 1 total branch saturation attempts.
% 0.19/0.42  # There were 0 of these attempts blocked.
% 0.19/0.42  # There were 0 deferred branch saturation attempts.
% 0.19/0.42  # There were 0 free duplicated saturations.
% 0.19/0.42  # There were 1 total successful branch saturations.
% 0.19/0.42  # There were 0 successful branch saturations in interreduction.
% 0.19/0.42  # There were 0 successful branch saturations on the branch.
% 0.19/0.42  # There were 1 successful branch saturations after the branch.
% 0.19/0.42  _class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X3,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_401, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_606, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_651, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 0.19/0.42  cnf(i_0_520, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X3,X1,tc_nat),X2,tc_nat))).
% 0.19/0.42  cnf(i_0_713, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_740, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.19/0.42  cnf(i_0_423, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_521, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.42  cnf(i_0_738, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_607, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.42  cnf(i_0_608, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.42  cnf(i_0_697, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.42  cnf(i_0_546, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.42  cnf(i_0_646, 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))).
% 0.19/0.42  cnf(i_0_644, 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))).
% 0.19/0.42  cnf(i_0_454, 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))).
% 0.19/0.42  cnf(i_0_732, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.42  cnf(i_0_726, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.42  cnf(i_0_488, 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))).
% 0.19/0.42  cnf(i_0_729, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.42  cnf(i_0_728, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 0.19/0.42  cnf(i_0_727, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.42  cnf(i_0_672, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_505, 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))).
% 0.19/0.42  cnf(i_0_422, plaio(X1))).
% 0.19/0.42  cnf(i_0_641, 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))).
% 0.19/0.42  cnf(i_0_404, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_529, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_547, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_632, 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))).
% 0.19/0.42  cnf(i_0_666, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_461, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_510, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_478, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_675, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_535, 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))).
% 0.19/0.42  cnf(i_0_536, 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))).
% 0.19/0.42  cnf(i_0_537, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))).
% 0.19/0.42  cnf(i_0_647, 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))).
% 0.19/0.42  cnf(i_0_645, 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))).
% 0.19/0.42  cnf(i_0_649, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_408, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_528, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_425, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 0.19/0.42  cnf(i_0_509, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_419, 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_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.42  cnf(i_0_689, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_HOL_Oabs__class_Oabs(X1,X3# SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  # Begin clausification derivation
% 0.19/0.42  
% 0.19/0.42  # End clausification derivation
% 0.19/0.42  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.42  cnf(i_0_773, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_760, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_743, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_761, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_774, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_746, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.19/0.42  cnf(i_0_768, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_698, plain, (c_Complex_Ocnj(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_712, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_722, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_742, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.19/0.42  cnf(i_0_759, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_749, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.19/0.42  cnf(i_0_771, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_754, plain, (class_Power_Opower(tc_nat))).
% 0.19/0.42  cnf(i_0_778, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_755, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_751, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.19/0.42  cnf(i_0_748, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.19/0.42  cnf(i_0_770, plain, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_766, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_745, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_765, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_744, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_763, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_747, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.42  cnf(i_0_769, plain, (class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_756, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_752, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.19/0.42  cnf(i_0_775, plain, (class_Nat_Osemiring__char__0(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_777, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_753, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 0.19/0.42  cnf(i_0_776, plain, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_767, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_764, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_750, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.19/0.42  cnf(i_0_772, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_762, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_757, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_758, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_541, plain, (c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_609, plain, (c_Complex_Ocnj(c_Complex_Ocnj(X1))=X1)).
% 0.19/0.42  cnf(i_0_617, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_558, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_716, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_410, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tcn, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 0.19/0.42  cnf(i_0_709, 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))).
% 0.19/0.42  cnf(i_0_614, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_539, 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))).
% 0.19/0.42  cnf(i_0_552, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.42  cnf(i_0_506, 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))).
% 0.19/0.42  cnf(i_0_444, 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))).
% 0.19/0.42  cnf(i_0_443, 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))).
% 0.19/0.42  cnf(i_0_631, 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))).
% 0.19/0.42  cnf(i_0_531, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.42  cnf(i_0_613, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 0.19/0.42  cnf(i_0_522, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_604, 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))).
% 0.19/0.42  cnf(i_0_481, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_640, 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))).
% 0.19/0.42  cnf(i_0_642, 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))).
% 0.19/0.42  cnf(i_0_636, 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))).
% 0.19/0.42  cnf(i_0_475, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.42  cnf(i_0_523, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_405, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_455, 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))).
% 0.19/0.42  cnf(i_0_598, 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))).
% 0.19/0.42  cnf(i_0_555, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 0.19/0.42  cnf(i_0_630, 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))).
% 0.19/0.42  cnf(i_0_639, 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__zer)!=c_HOL_Oabs__class_Oabs(X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.42  cnf(i_0_502, 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))).
% 0.19/0.42  cnf(i_0_660, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.42  cnf(i_0_452, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.42  cnf(i_0_576, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_542, 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))).
% 0.19/0.42  cnf(i_0_501, 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))).
% 0.19/0.42  cnf(i_0_412, 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))).
% 0.19/0.42  cnf(i_0_562, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.42  cnf(i_0_441, 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))).
% 0.19/0.42  cnf(i_0_592, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.42  cnf(i_0_470, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.42  cnf(i_0_442, 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))).
% 0.19/0.42  cnf(i_0_428, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_574, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_601, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.42  cnf(i_0_472, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.42  cnf(i_0_492, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.42  cnf(i_0_451, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.42  cnf(i_0_569, 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))).
% 0.19/0.42  cnf(i_0_570, 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))).
% 0.19/0.42  cnf(i_0_499, plain, (c_Divides_Odiv___nat))).
% 0.19/0.42  cnf(i_0_600, plain, (c_GCD_Ogcd__class_Ogcd(X1,X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_717, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.42  cnf(i_0_551, plain, (c_GCD_Ogcd__class_Olcm(X1,X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_626, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_721, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.42  cnf(i_0_703, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_731, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_704, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_730, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_596, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_595, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_723, plain, (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_446, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_634, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_445, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_635, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.42  cnf(i_0_429, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_430, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_581, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.42  cnf(i_0_582, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.42  cnf(i_0_399, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_390, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.42  cnf(i_0_575, plain, (c_Complex_Ocnj(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex))=c_Power_Opower__class_Opower(c_Complex_Ocnj(X1),X2,tc_Complex_Ocomplex))).
% 0.19/0.42  cnf(i_0_676, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_648, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_599, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_623, plain, (c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_654, plain, (c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_467, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_594, plain, (c_HOL_Otimes__class_Otimes(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.42  cnf(i_0_477, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_476, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.42  cnf(i_0_550, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd# There were 1 total branch saturation attempts.
% 0.19/0.42  # There were 0 of these attempts blocked.
% 0.19/0.42  # There were 0 deferred branch saturation attempts.
% 0.19/0.42  # There were 0 free duplicated saturations.
% 0.19/0.43  # There were 1 total successful branch saturations.
% 0.19/0.43  # There were 0 successful branch saturations in interreduction.
% 0.19/0.43  # There were 0 successful branch saturations on the branch.
% 0.19/0.43  # There were 1 successful branch saturations after the branch.
% 0.19/0.43  o(X1))).
% 0.19/0.43  cnf(i_0_641, 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))).
% 0.19/0.43  cnf(i_0_404, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_529, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_547, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_632, 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))).
% 0.19/0.43  cnf(i_0_666, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_461, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_510, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_478, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_675, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_535, 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))).
% 0.19/0.43  cnf(i_0_536, 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))).
% 0.19/0.43  cnf(i_0_537, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))).
% 0.19/0.43  cnf(i_0_647, 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))).
% 0.19/0.43  cnf(i_0_645, 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))).
% 0.19/0.43  cnf(i_0_649, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_408, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_528, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_425, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 0.19/0.43  cnf(i_0_509, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_419, 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_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.43  cnf(i_0_689, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_HOL_Oabs__class_Oabs(X1,X3__class_Olcm(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_673, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_610, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_543, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_622, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_653, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X2,c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_702, plain, (c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.43  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_663, plain, (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.43  cnf(i_0_694, plain, (c_FFT__Mirabelle_Oroot(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_715, plain, (~c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_490, plain, (c_Fact_Ofact__class_Ofact(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_711, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.43  cnf(i_0_695, plain, (~c_Int_Oiszero(c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_659, plain, (X1=X2|c_Complex_Ocnj(X1)!=c_Complex_Ocnj(X2))).
% 0.19/0.43  cnf(i_0_658, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Complex_Ocnj(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_571, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X1,tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Nat_Osemiring__char__0(X2))).
% 0.19/0.43  cnf(i_0_643, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Int_Oiszero(X1,X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.43  cnf(i_0_662, plain, (c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_719, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_705, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_706, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_489, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_411, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_682, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_710, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_683, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_514, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_693, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_692, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_545, 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))).
% 0.19/0.43  cnf(i_0_669, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=X1)).
% 0.19/0.43  cnf(i_0_513, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_564, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_714, 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))).
% 0.19/0.43  cnf(i_0_671, 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))).
% 0.19/0.43  cnf(i_0_657, 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))).
% 0.19/0.43  cnf(i_0_565, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.19/0.43  cnf(i_0_392, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_701, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_625, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 0.19/0.43  cnf(i_0_457, 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))).
% 0.19/0.43  cnf(i_0_530, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_504, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_667, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_668, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_696, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))).
% 0.19/0.43  cnf(i_0_487, 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))).
% 0.19/0.43  cnf(i_0_507, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.19/0.43  cnf(i_0_517, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_512, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_652, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.43  cnf(i_0_453, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.19/0.43  cnf(i_0_627, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_720, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.43  cnf(i_0_420, 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))).
% 0.19/0.43  cnf(i_0_736, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_RealVector_Oreal__normed__algebra__1(X1))).
% 0.19/0.43  cnf(i_0_700, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.43  cnf(i_0_605, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_650, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.19/0.43  cnf(i_0_400, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X3,X2,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_401, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_606, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_651, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 0.19/0.43  cnf(i_0_520, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X3,X1,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_713, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_740, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.19/0.43  cnf(i_0_423, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_521, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_738, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_607, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.43  cnf(i_0_608, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.43  cnf(i_0_697, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_546, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.43  cnf(i_0_646, 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))).
% 0.19/0.43  cnf(i_0_644, 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))).
% 0.19/0.43  cnf(i_0_454, 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))).
% 0.19/0.43  cnf(i_0_732, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_726, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.43  cnf(i_0_488, 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))).
% 0.19/0.43  cnf(i_0_729, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.43  cnf(i_0_728, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 0.19/0.43  cnf(i_0_727, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.43  cnf(i_0_672, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_505, 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))).
% 0.19/0.43  cnf(i_0_422, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 0.19/0.43  cnf(i_0_709, 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))).
% 0.19/0.43  cnf(i_0_614, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_539, 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))).
% 0.19/0.43  cnf(i_0_552, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_506, 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))).
% 0.19/0.43  cnf(i_0_444, 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))).
% 0.19/0.43  cnf(i_0_443, 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))).
% 0.19/0.43  cnf(i_0_631, 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))).
% 0.19/0.43  cnf(i_0_531, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_613, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_522, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_604, 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))).
% 0.19/0.43  cnf(i_0_481, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_640, 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))).
% 0.19/0.43  cnf(i_0_642, 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))).
% 0.19/0.43  cnf(i_0_636, 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))).
% 0.19/0.43  cnf(i_0_475, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_523, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_405, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_455, 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))).
% 0.19/0.43  cnf(i_0_598, 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))).
% 0.19/0.43  cnf(i_0_555, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 0.19/0.43  cnf(i_0_630, 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))).
% 0.19/0.43  cnf(i_0_639, 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__zer_nat))).
% 0.19/0.43  cnf(i_0_600, plain, (c_GCD_Ogcd__class_Ogcd(X1,X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_717, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_551, plain, (c_GCD_Ogcd__class_Olcm(X1,X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_626, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_721, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.43  cnf(i_0_703, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_731, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_704, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_730, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_596, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_595, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_723, plain, (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_446, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_634, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_445, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_635, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_429, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_430, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_581, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_582, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.43  cnf(i_0_399, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_390, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_575, plain, (c_Complex_Ocnj(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex))=c_Power_Opower__class_Opower(c_Complex_Ocnj(X1),X2,tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_676, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_648, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_599, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_623, plain, (c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_654, plain, (c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_467, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_594, plain, (c_HOL_Otimes__class_Otimes(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_477, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_476, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_550, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_673, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_610, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_543, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_622, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_653, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X2,c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_702, plain, (c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.43  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_663, plain, (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.43  cnf(i_0_694, plain, (c_FFT__Mirabelle_Oroot(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_715, plain, (~c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_490, plain, (c_Fact_Ofact__class_Ofact(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_711, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.43  cnf(i_0_695, plain, (~c_Int_Oiszero(c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_659, plain, (X1=X2|c_Complex_Ocnj(X1)!=c_Complex_Ocnj(X2))).
% 0.19/0.43  cnf(i_0_658, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Complex_Ocnj(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_571, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X1,tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Nat_Osemiring__char__0(X2))).
% 0.19/0.43  cnf(i_0_643, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Int_Oiszero(X1,X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.43  cnf(i_0_662, plain, (c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_719, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_705, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_706, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_489, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_411, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_682, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_710, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_683, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_514, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_693, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_692, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_545, 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))).
% 0.19/0.43  cnf(i_0_669, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=X1)).
% 0.19/0.43  cnf(i_0_513, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_564, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_714, 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))).
% 0.19/0.43  cnf(i_0_671, 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))).
% 0.19/0.43  cnf(i_0_657, 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))).
% 0.19/0.43  cnf(i_0_565, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.19/0.43  cnf(i_0_392, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_701, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_625, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 0.19/0.43  cnf(i_0_457, 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))).
% 0.19/0.43  cnf(i_0_530, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_504, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_667, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_668, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_696, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))).
% 0.19/0.43  cnf(i_0_487, 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))).
% 0.19/0.43  cnf(i_0_507, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.19/0.43  cnf(i_0_517, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_512, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_652, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.43  cnf(i_0_453, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.19/0.43  cnf(i_0_627, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_720, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.43  cnf(i_0_420, 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))).
% 0.19/0.43  cnf(i_0_736, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_RealVector_Oreal__normed__algebra__1(X1))).
% 0.19/0.43  cnf(i_0_700, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.43  cnf(i_0_605, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_650, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.19/0.43  cnf(i_0_400, plain, (c_Ring__and__Field_Odvd_o(X1))).
% 0.19/0.43  cnf(i_0_641, 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))).
% 0.19/0.43  cnf(i_0_404, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_529, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_547, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_632, 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))).
% 0.19/0.43  cnf(i_0_666, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_461, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_510, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_478, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_675, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_535, 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))).
% 0.19/0.43  cnf(i_0_536, 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))).
% 0.19/0.43  cnf(i_0_537, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))).
% 0.19/0.43  cnf(i_0_647, 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))).
% 0.19/0.43  cnf(i_0_645, 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))).
% 0.19/0.43  cnf(i_0_649, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_408, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_528, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_425, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 0.19/0.43  cnf(i_0_509, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_419, 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_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.43  cnf(i_0_689, 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))).
% 0.19/0.43  cnf(i_0_502, 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))).
% 0.19/0.43  cnf(i_0_660, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_452, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_576, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_542, 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))).
% 0.19/0.43  cnf(i_0_501, 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))).
% 0.19/0.43  cnf(i_0_412, 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))).
% 0.19/0.43  cnf(i_0_562, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_441, 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))).
% 0.19/0.43  cnf(i_0_592, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_470, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_442, 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))).
% 0.19/0.43  cnf(i_0_428, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_574, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_601, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_472, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_492, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_451, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_569, 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))).
% 0.19/0.43  cnf(i_0_570, 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))).
% 0.19/0.43  cnf(i_0_499, 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))).
% 0.19/0.43  cnf(i_0_471, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_559, plain, (c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)=c_Power_Opower__class_Opower(X1,X3,X2)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_560, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.43  cnf(i_0_500, 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))).
% 0.19/0.43  cnf(i_0_427, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_424, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.43  cnf(i_0_418, 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))).
% 0.19/0.43  cnf(i_0_616, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_460, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.43  cnf(i_0_573, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 0.19/0.43  cnf(i_0_620, 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))).
% 0.19/0.43  cnf(i_0_628, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_621, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.43  cnf(i_0_540, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_572, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 0.19/0.43  cnf(i_0_479, 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))).
% 0.19/0.43  cnf(i_0_619, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.43  cnf(i_0_679, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.43  cnf(i_0_416, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_681, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_680, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_RealVector_Oreal__normed__div__algebra(X2))).
% 0.19/0.43  cnf(i_0_593, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_465, 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))).
% 0.19/0.43  cnf(i_0_612, 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))).
% 0.19/0.43  cnf(i_0_462, 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))).
% 0.19/0.43  cnf(i_0_415, 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))).
% 0.19/0.43  cnf(i_0_556, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X3,X4,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X1|c_HOL_Otimes__class_Otimes(X4,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_414, 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))).
% 0.19/0.43  cnf(i_0_561, 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))).
% 0.19/0.43  cnf(i_0_568, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_563, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_426, 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))).
% 0.19/0.43  cnf(i_0_603, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_602, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_485, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_557, 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))).
% 0.19/0.43  cnf(i_0_538, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_466, 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))).
% 0.19/0.43  cnf(i_0_486, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_474, 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))).
% 0.19/0.43  cnf(i_0_665, 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))).
% 0.19/0.43  cnf(i_0_458, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_459, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))).
% 0.19/0.43  cnf(i_0_480, 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))).
% 0.19/0.43  cnf(i_0_473, 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))).
% 0.19/0.43  cnf(i_0_463, 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))).
% 0.19/0.43  cnf(i_0_566, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_567, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_678, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_391, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_618, plain, (c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(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))).
% 0.19/0.43  cnf(i_0_417, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_664, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_498, 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))).
% 0.19/0.43  cnf(i_0_677, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_421, plain, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),c_Divides_Odiv__class_Odiv(X4,X5,X3),X3)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X4,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.19/0.43  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.43  # Begin printing tableau
% 0.19/0.43  # Found 5 steps
% 0.19/0.43  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(start_rule)).
% 0.19/0.43  cnf(i_0_779, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(extension_rule, [i_0_613])).
% 0.19/0.43  cnf(i_0_974, plain, (c_Fact_Ofact__class_Ofact(X5,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)), inference(closure_rule, [i_0_490])).
% 0.19/0.43  cnf(i_0_976, plain, (c_HOL_Otimes__class_Otimes(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_Fact_Ofact__class_Ofact(X5,tc_nat),tc_nat)!=c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Fact_Ofact__class_Ofact(X5,tc_nat),tc_nat)), inference(extension_rule, [i_0_659])).
% 0.19/0.43  cnf(i_0_1309, plain, (c_Complex_Ocnj(c_HOL_Otimes__class_Otimes(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_Fact_Ofact__class_Ofact(X5,tc_nat),tc_nat))!=c_Complex_Ocnj(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Fact_Ofact__class_Ofact(X5,tc_nat),tc_nat))), inference(etableau_closure_rule, [i_0_1309, ...])).
% 0.19/0.43  # End printing tableau
% 0.19/0.43  # SZS output end
% 0.19/0.43  # Branches closed with saturation will be marked with an "s"
% 0.19/0.43  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))).
% 0.19/0.43  cnf(i_0_471, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_559, plain, (c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)=c_Power_Opower__class_Opower(X1,X3,X2)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_560, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.43  cnf(i_0_500, 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))).
% 0.19/0.43  cnf(i_0_427, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_424, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.43  cnf(i_0_418, 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))).
% 0.19/0.43  cnf(i_0_616, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_460, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.43  cnf(i_0_573, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 0.19/0.43  cnf(i_0_620, 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))).
% 0.19/0.43  cnf(i_0_628, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_621, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.43  cnf(i_0_540, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_572, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 0.19/0.43  cnf(i_0_479, 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))).
% 0.19/0.43  cnf(i_0_619, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~_class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X3,X2,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_401, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_606, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_651, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 0.19/0.43  cnf(i_0_520, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X3,X1,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_713, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_740, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.19/0.43  cnf(i_0_423, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_521, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_738, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_607, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.43  cnf(i_0_608, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.43  cnf(i_0_697, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_546, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.43  cnf(i_0_646, 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))).
% 0.19/0.43  cnf(i_0_644, 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))).
% 0.19/0.43  cnf(i_0_454, 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))).
% 0.19/0.43  cnf(i_0_732, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_726, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.43  cnf(i_0_488, 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))).
% 0.19/0.43  cnf(i_0_729, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.43  cnf(i_0_728, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 0.19/0.43  cnf(i_0_727, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.43  cnf(i_0_672, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_505, 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))).
% 0.19/0.43  cnf(i_0_422, plai# SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  # Begin clausification derivation
% 0.19/0.43  
% 0.19/0.43  # End clausification derivation
% 0.19/0.43  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.43  cnf(i_0_773, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_760, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_743, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.43  cnf(i_0_761, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_774, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_746, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.19/0.43  cnf(i_0_768, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_698, plain, (c_Complex_Ocnj(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_712, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_722, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_742, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.19/0.43  cnf(i_0_759, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_749, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.19/0.43  cnf(i_0_771, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_754, plain, (class_Power_Opower(tc_nat))).
% 0.19/0.43  cnf(i_0_778, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_755, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_751, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.19/0.43  cnf(i_0_748, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.19/0.43  cnf(i_0_770, plain, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_766, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_745, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 0.19/0.43  cnf(i_0_765, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_744, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.19/0.43  cnf(i_0_763, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_747, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.43  cnf(i_0_769, plain, (class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_756, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_752, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.19/0.43  cnf(i_0_775, plain, (class_Nat_Osemiring__char__0(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_777, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_753, plain, (class_Ring__and__Field_Odvd(tc_nat))).
% 0.19/0.43  cnf(i_0_776, plain, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_767, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_764, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_750, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.19/0.43  cnf(i_0_772, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_762, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_757, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_758, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_541, plain, (c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_609, plain, (c_Complex_Ocnj(c_Complex_Ocnj(X1))=X1)).
% 0.19/0.43  cnf(i_0_617, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_558, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_716, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_410, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_600, plain, (c_GCD_Ogcd__class_Ogcd(X1,X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_717, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_551, plain, (c_GCD_Ogcd__class_Olcm(X1,X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_626, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_721, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.43  cnf(i_0_703, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_731, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_704, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_730, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_596, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_595, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_723, plain, (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_446, plain, (c_GCD_Ogcd__class_Olcm(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_634, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_445, plain, (c_GCD_Ogcd__class_Olcm(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_635, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_429, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_430, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_581, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_582, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.43  cnf(i_0_399, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_390, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=X1)).
% 0.19/0.43  cnf(i_0_575, plain, (c_Complex_Ocnj(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex))=c_Power_Opower__class_Opower(c_Complex_Ocnj(X1),X2,tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_676, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_648, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_599, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_623, plain, (c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_654, plain, (c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_467, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_594, plain, (c_HOL_Otimes__class_Otimes(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_477, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_476, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_550, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat),c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_673, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_610, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_543, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_622, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_653, plain, (c_GCD_Ogcd__class_Olcm(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(X2,c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_702, plain, (c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.43  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_663, plain, (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 0.19/0.43  cnf(i_0_694, plain, (c_FFT__Mirabelle_Oroot(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_715, plain, (~c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_490, plain, (c_Fact_Ofact__class_Ofact(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_711, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.43  cnf(i_0_695, plain, (~c_Int_Oiszero(c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_659, plain, (X1=X2|c_Complex_Ocnj(X1)!=c_Complex_Ocnj(X2))).
% 0.19/0.43  cnf(i_0_658, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Complex_Ocnj(X1)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 0.19/0.43  cnf(i_0_571, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X1,tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Nat_Osemiring__char__0(X2))).
% 0.19/0.43  cnf(i_0_643, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Int_Oiszero(X1,X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.43  cnf(i_0_662, plain, (c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_719, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_705, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_706, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_489, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_411, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_682, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_710, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.43  cnf(i_0_683, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_514, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X2,X1,tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_693, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_692, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_545, 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))).
% 0.19/0.43  cnf(i_0_669, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=X1)).
% 0.19/0.43  cnf(i_0_513, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_564, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_714, 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))).
% 0.19/0.43  cnf(i_0_671, 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))).
% 0.19/0.43  cnf(i_0_657, 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))).
% 0.19/0.43  cnf(i_0_565, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.19/0.43  cnf(i_0_392, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_701, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_625, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 0.19/0.43  cnf(i_0_457, 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))).
% 0.19/0.43  cnf(i_0_530, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_504, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.43  cnf(i_0_667, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_668, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_696, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))).
% 0.19/0.43  cnf(i_0_487, 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))).
% 0.19/0.43  cnf(i_0_507, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.19/0.43  cnf(i_0_517, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_512, plain, (c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_652, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.43  cnf(i_0_453, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.19/0.43  cnf(i_0_627, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_720, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.43  cnf(i_0_420, 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))).
% 0.19/0.43  cnf(i_0_736, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_RealVector_Oreal__normed__algebra__1(X1))).
% 0.19/0.43  cnf(i_0_700, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.43  cnf(i_0_605, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_650, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.19/0.43  cnf(i_0_400, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X3,X2,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_401, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_606, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_651, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 0.19/0.43  cnf(i_0_520, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X3,X1,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_713, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_740, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.19/0.43  cnf(i_0_423, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_521, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.43  cnf(i_0_738, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_607, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.43  cnf(i_0_608, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.43  cnf(i_0_697, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_546, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.43  cnf(i_0_646, 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))).
% 0.19/0.43  cnf(i_0_644, 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))).
% 0.19/0.43  cnf(i_0_454, 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))).
% 0.19/0.43  cnf(i_0_732, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.43  cnf(i_0_726, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.43  cnf(i_0_488, 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))).
% 0.19/0.43  cnf(i_0_729, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.43  cnf(i_0_728, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 0.19/0.43  cnf(i_0_727, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.43  cnf(i_0_672, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_505, 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))).
% 0.19/0.43  cnf(i_0_422, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 0.19/0.43  cnf(i_0_709, 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))).
% 0.19/0.43  cnf(i_0_614, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_539, 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))).
% 0.19/0.43  cnf(i_0_552, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_506, 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))).
% 0.19/0.43  cnf(i_0_444, 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))).
% 0.19/0.43  cnf(i_0_443, 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))).
% 0.19/0.43  cnf(i_0_631, 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))).
% 0.19/0.43  cnf(i_0_531, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_613, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_522, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_604, 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))).
% 0.19/0.43  cnf(i_0_481, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_640, 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))).
% 0.19/0.43  cnf(i_0_642, 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))).
% 0.19/0.43  cnf(i_0_636, 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))).
% 0.19/0.43  cnf(i_0_475, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_523, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_405, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_455, 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))).
% 0.19/0.43  cnf(i_0_598, 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))).
% 0.19/0.43  cnf(i_0_555, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 0.19/0.43  cnf(i_0_630, 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))).
% 0.19/0.43  cnf(i_0_639, 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))).
% 0.19/0.43  cnf(i_0_641, 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))).
% 0.19/0.43  cnf(i_0_404, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_529, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_547, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_632, 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))).
% 0.19/0.43  cnf(i_0_666, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_461, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_510, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_478, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_675, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_535, 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))).
% 0.19/0.43  cnf(i_0_536, 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))).
% 0.19/0.43  cnf(i_0_537, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))).
% 0.19/0.43  cnf(i_0_647, 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))).
% 0.19/0.43  cnf(i_0_645, 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))).
% 0.19/0.43  cnf(i_0_649, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_408, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_528, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_425, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 0.19/0.43  cnf(i_0_509, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_419, 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_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.43  cnf(i_0_689, 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))).
% 0.19/0.43  cnf(i_0_502, 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))).
% 0.19/0.43  cnf(i_0_660, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_452, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_576, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_542, 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))).
% 0.19/0.43  cnf(i_0_501, 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))).
% 0.19/0.43  cnf(i_0_412, 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))).
% 0.19/0.43  cnf(i_0_562, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_441, 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))).
% 0.19/0.43  cnf(i_0_592, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_470, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_442, 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))).
% 0.19/0.43  cnf(i_0_428, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_574, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_601, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_472, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_492, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_451, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_569, 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))).
% 0.19/0.43  cnf(i_0_570, 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))).
% 0.19/0.43  cnf(i_0_499, 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))).
% 0.19/0.43  cnf(i_0_471, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_559, plain, (c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)=c_Power_Opower__class_Opower(X1,X3,X2)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_560, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.43  cnf(i_0_500, 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))).
% 0.19/0.43  cnf(i_0_427, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_424, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.43  cnf(i_0_418, 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))).
% 0.19/0.43  cnf(i_0_616, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_460, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.43  cnf(i_0_573, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 0.19/0.43  cnf(i_0_620, 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))).
% 0.19/0.43  cnf(i_0_628, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_621, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.43  cnf(i_0_540, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_572, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 0.19/0.43  cnf(i_0_479, 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))).
% 0.19/0.43  cnf(i_0_619, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.43  cnf(i_0_679, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.43  cnf(i_0_416, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_681, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_680, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_RealVector_Oreal__normed__div__algebra(X2))).
% 0.19/0.43  cnf(i_0_593, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_465, 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))).
% 0.19/0.43  cnf(i_0_612, 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))).
% 0.19/0.43  cnf(i_0_462, 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))).
% 0.19/0.43  cnf(i_0_415, 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))).
% 0.19/0.43  cnf(i_0_556, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X3,X4,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X1|c_HOL_Otimes__class_Otimes(X4,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_414, 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))).
% 0.19/0.43  cnf(i_0_561, 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))).
% 0.19/0.43  cnf(i_0_568, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_563, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_426, 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))).
% 0.19/0.43  cnf(i_0_603, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_602, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_485, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_557, 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))).
% 0.19/0.43  cnf(i_0_538, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_466, 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))).
% 0.19/0.43  cnf(i_0_486, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_474, 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))).
% 0.19/0.43  cnf(i_0_665, 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))).
% 0.19/0.43  cnf(i_0_458, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_459, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))).
% 0.19/0.43  cnf(i_0_480, 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))).
% 0.19/0.43  cnf(i_0_473, 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))).
% 0.19/0.43  cnf(i_0_463, 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))).
% 0.19/0.43  cnf(i_0_566, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_567, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_678, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_391, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_618, plain, (c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(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))).
% 0.19/0.43  cnf(i_0_417, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_664, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_498, 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))).
% 0.19/0.43  cnf(i_0_677, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_421, plain, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),c_Divides_Odiv__class_Odiv(X4,X5,X3),X3)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X4,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.19/0.43  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.43  # Begin printing tableau
% 0.19/0.43  # Found 5 steps
% 0.19/0.43  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(start_rule)).
% 0.19/0.43  cnf(i_0_779, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(extension_rule, [i_0_507])).
% 0.19/0.43  cnf(i_0_864, plain, (~class_Nat_Osemiring__char__0(tc_nat)), inference(closure_rule, [i_0_752])).
% 0.19/0.43  cnf(i_0_863, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)!=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_nat)), inference(extension_rule, [i_0_659])).
% 0.19/0.43  cnf(i_0_1309, plain, (c_Complex_Ocnj(c_Nat_Osemiring__1__class_Oof__nat(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),tc_nat))!=c_Complex_Ocnj(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_nat))), inference(etableau_closure_rule, [i_0_1309, ...])).
% 0.19/0.43  # End printing tableau
% 0.19/0.43  # SZS output end
% 0.19/0.43  # Branches closed with saturation will be marked with an "s"
% 0.19/0.43  n, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 0.19/0.43  cnf(i_0_709, 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))).
% 0.19/0.43  cnf(i_0_614, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_539, 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))).
% 0.19/0.43  cnf(i_0_552, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_506, 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))).
% 0.19/0.43  cnf(i_0_444, 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))).
% 0.19/0.43  cnf(i_0_443, 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))).
% 0.19/0.43  cnf(i_0_631, 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))).
% 0.19/0.43  cnf(i_0_531, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_613, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 0.19/0.43  cnf(i_0_522, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_604, 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))).
% 0.19/0.43  cnf(i_0_481, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_640, 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))).
% 0.19/0.43  cnf(i_0_642, 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))).
% 0.19/0.43  cnf(i_0_636, 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))).
% 0.19/0.43  cnf(i_0_475, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_523, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Olcm(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_405, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_455, 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))).
% 0.19/0.43  cnf(i_0_598, 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))).
% 0.19/0.43  cnf(i_0_555, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 0.19/0.43  cnf(i_0_630, 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))).
% 0.19/0.43  cnf(i_0_639, 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__zerclass_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.43  cnf(i_0_679, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.43  cnf(i_0_416, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_681, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_680, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_RealVector_Oreal__normed__div__algebra(X2))).
% 0.19/0.43  cnf(i_0_593, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_465, 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))).
% 0.19/0.43  cnf(i_0_612, 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))).
% 0.19/0.43  cnf(i_0_462, 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))).
% 0.19/0.43  cnf(i_0_415, 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))).
% 0.19/0.43  cnf(i_0_556, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X3,X4,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X1|c_HOL_Otimes__class_Otimes(X4,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_414, 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))).
% 0.19/0.43  cnf(i_0_561, 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))).
% 0.19/0.43  cnf(i_0_568, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_563, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_426, 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))).
% 0.19/0.43  cnf(i_0_603, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_602, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_485, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_557, 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))).
% 0.19/0.43  cnf(i_0_538, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_466, 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))).
% 0.19/0.43  cnf(i_0_486, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_474, 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))).
% 0.19/0.43  cnf(i_0_665, 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))).
% 0.19/0.43  cnf(i_0_458, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_459, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))).
% 0.19/0.43  cnf(i_0_480, 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))).
% 0.19/0.43  cnf(i_0_473, 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))).
% 0.19/0.43  cnf(i_0_463, 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))).
% 0.19/0.43  cnf(i_0_566, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_567, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_678, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_391, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_618, plain, (c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(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))).
% 0.19/0.43  cnf(i_0_417, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_664, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_498, 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))).
% 0.19/0.43  cnf(i_0_677, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_421, plain, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),c_Divides_Odiv__class_Odiv(X4,X5,X3),X3)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X4,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.19/0.43  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.43  # Begin printing tableau
% 0.19/0.43  # Found 6 steps
% 0.19/0.43  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(start_rule)).
% 0.19/0.43  cnf(i_0_779, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(extension_rule, [i_0_454])).
% 0.19/0.43  cnf(i_0_930, plain, (~class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_766])).
% 0.19/0.43  cnf(i_0_931, plain, (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_760])).
% 0.19/0.43  cnf(i_0_929, plain, (c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex)!=c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(extension_rule, [i_0_659])).
% 0.19/0.43  cnf(i_0_1309, plain, (c_Complex_Ocnj(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex))!=c_Complex_Ocnj(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex))), inference(etableau_closure_rule, [i_0_1309, ...])).
% 0.19/0.43  # End printing tableau
% 0.19/0.43  # SZS output end
% 0.19/0.43  # Branches closed with saturation will be marked with an "s"
% 0.19/0.43  o(X1))).
% 0.19/0.43  cnf(i_0_641, 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))).
% 0.19/0.43  cnf(i_0_404, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_529, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_547, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_632, 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))).
% 0.19/0.43  cnf(i_0_666, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_461, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_510, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_478, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_675, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_535, 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))).
% 0.19/0.43  cnf(i_0_536, 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))).
% 0.19/0.43  cnf(i_0_537, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))).
% 0.19/0.43  cnf(i_0_647, 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))).
% 0.19/0.43  cnf(i_0_645, 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))).
% 0.19/0.43  cnf(i_0_649, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.43  cnf(i_0_408, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_528, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_425, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 0.19/0.43  cnf(i_0_509, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_419, 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_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.19/0.43  cnf(i_0_689, 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))).
% 0.19/0.43  cnf(i_0_502, 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))).
% 0.19/0.43  cnf(i_0_660, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_452, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_576, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_542, 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))).
% 0.19/0.43  cnf(i_0_501, 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))).
% 0.19/0.43  cnf(i_0_412, 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))).
% 0.19/0.43  cnf(i_0_562, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_441, 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))).
% 0.19/0.43  cnf(i_0_592, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_470, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_442, 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))).
% 0.19/0.43  cnf(i_0_428, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_574, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_601, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_472, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_492, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_451, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_569, 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))).
% 0.19/0.43  cnf(i_0_570, 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))).
% 0.19/0.43  cnf(i_0_499, 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))).
% 0.19/0.43  cnf(i_0_471, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_559, plain, (c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)=c_Power_Opower__class_Opower(X1,X3,X2)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_560, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.43  cnf(i_0_500, 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))).
% 0.19/0.43  cnf(i_0_427, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_424, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.43  cnf(i_0_418, 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))).
% 0.19/0.43  cnf(i_0_616, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_460, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.43  cnf(i_0_573, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 0.19/0.43  cnf(i_0_620, 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))).
% 0.19/0.43  cnf(i_0_628, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_621, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.43  cnf(i_0_540, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_572, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~class_Ring__and__Field_Oidom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 0.19/0.43  cnf(i_0_479, 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))).
% 0.19/0.43  cnf(i_0_619, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.43  cnf(i_0_679, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.43  cnf(i_0_416, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_681, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.43  cnf(i_0_680, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_RealVector_Oreal__normed__div__algebra(X2))).
% 0.19/0.43  cnf(i_0_593, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_465, 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))).
% 0.19/0.43  cnf(i_0_612, 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))).
% 0.19/0.43  cnf(i_0_462, 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))).
% 0.19/0.43  cnf(i_0_415, 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))).
% 0.19/0.43  cnf(i_0_556, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X3,X4,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X3,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X1|c_HOL_Otimes__class_Otimes(X4,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)!=X2)).
% 0.19/0.43  cnf(i_0_414, 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))).
% 0.19/0.43  cnf(i_0_561, 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))).
% 0.19/0.43  cnf(i_0_568, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_563, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_426, 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))).
% 0.19/0.43  cnf(i_0_603, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_602, 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)|~class_Ring__and__Field_Oidom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_485, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_557, 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))).
% 0.19/0.43  cnf(i_0_538, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.43  cnf(i_0_466, 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))).
% 0.19/0.43  cnf(i_0_486, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_474, 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))).
% 0.19/0.43  cnf(i_0_665, 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))).
% 0.19/0.43  cnf(i_0_458, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_459, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))).
% 0.19/0.43  cnf(i_0_480, 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))).
% 0.19/0.43  cnf(i_0_473, 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))).
% 0.19/0.43  cnf(i_0_463, 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))).
% 0.19/0.43  cnf(i_0_566, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_567, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_678, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_391, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_618, plain, (c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(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))).
% 0.19/0.43  cnf(i_0_417, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_664, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_498, 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))).
% 0.19/0.43  cnf(i_0_677, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_421, plain, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),c_Divides_Odiv__class_Odiv(X4,X5,X3),X3)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X4,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.19/0.43  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.43  # Begin printing tableau
% 0.19/0.43  # Found 8 steps
% 0.19/0.43  cnf(i_0_741, negated_conjecture, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(start_rule)).
% 0.19/0.43  cnf(i_0_779, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(extension_rule, [i_0_455])).
% 0.19/0.43  cnf(i_0_995, plain, (c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_694])).
% 0.19/0.43  cnf(i_0_999, plain, (~class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_766])).
% 0.19/0.43  cnf(i_0_996, plain, (c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(extension_rule, [i_0_711])).
% 0.19/0.43  cnf(i_0_1305, plain, (~class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_768])).
% 0.19/0.43  cnf(i_0_998, plain, (c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex)!=c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(extension_rule, [i_0_659])).
% 0.19/0.43  cnf(i_0_1309, plain, (c_Complex_Ocnj(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex))!=c_Complex_Ocnj(c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex))), inference(etableau_closure_rule, [i_0_1309, ...])).
% 0.19/0.43  # End printing tableau
% 0.19/0.43  # SZS output end
% 0.19/0.43  # Branches closed with saturation will be marked with an "s"
% 0.19/0.43  # Child (21980) has found a proof.
% 0.19/0.43  
% 0.19/0.43  )!=c_HOL_Oabs__class_Oabs(X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.43  cnf(i_0_502, 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))).
% 0.19/0.43  cnf(i_0_660, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_452, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_576, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.43  cnf(i_0_542, 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))).
% 0.19/0.43  cnf(i_0_501, 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))).
% 0.19/0.43  cnf(i_0_412, 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))).
% 0.19/0.43  cnf(i_0_562, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.43  cnf(i_0_441, 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))).
% 0.19/0.43  cnf(i_0_592, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.43  cnf(i_0_470, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.43  cnf(i_0_442, 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))).
% 0.19/0.43  cnf(i_0_428, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Olcm(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_574, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.43  cnf(i_0_601, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.43  cnf(i_0_472, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.43  cnf(i_0_492, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_451, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.43  cnf(i_0_569, 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))).
% 0.19/0.43  cnf(i_0_570, 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))).
% 0.19/0.43  cnf(i_0_499, plain, (c_Divides_Odiv__# Proof search is over...
% 0.19/0.43  # Freeing feature tree
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