TSTP Solution File: SWV621-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV621-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 : 300s
% DateTime : Wed May 31 12:43:44 EDT 2023
% Result : Unsatisfiable 64.67s 8.56s
% Output : CNFRefutation 65.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV621-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:32:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.42 % Drodi V3.5.1
% 64.67/8.56 % Refutation found
% 64.67/8.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 64.67/8.56 % SZS output start CNFRefutation for theBenchmark
% 64.67/8.56 fof(f4,axiom,(
% 64.67/8.56 (![V_m,V_n,V_k]: (( hBOOL(hAPP(c_lessequals(V_m,tc_nat),V_n))| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),V_k))| ~ hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat))) ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f18,axiom,(
% 64.67/8.56 (![T_a,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_a)| hBOOL(hAPP(c_HOL_Oord__class_Oless(V_y,T_a),V_x))| hBOOL(hAPP(c_lessequals(V_x,T_a),V_y)) ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f31,axiom,(
% 64.67/8.56 (![V_m,V_n]: (c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f41,axiom,(
% 64.67/8.56 (![T_a,V_a]: (( ~ class_Ring__and__Field_Odivision__ring(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f47,axiom,(
% 64.67/8.56 (![T_a,V_b,V_k]: (( ~ class_Ring__and__Field_Odvd(T_a)| c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f61,axiom,(
% 64.67/8.56 (![V_n,V_m]: (( hBOOL(hAPP(c_HOL_Oord__class_Oless(V_n,tc_nat),V_m))| ~ hBOOL(hAPP(c_lessequals(c_Suc(V_n),tc_nat),V_m)) ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f66,axiom,(
% 64.67/8.56 (![V_m,V_n]: (( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))| V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f177,axiom,(
% 64.67/8.56 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| V_a = c_HOL_Ozero__class_Ozero(T_a)| ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f199,axiom,(
% 64.67/8.56 c_HOL_Oord__class_Oless(v_n,tc_nat) = c_lessequals(c_Suc(v_n),tc_nat) ),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f203,axiom,(
% 64.67/8.56 (![V_y,V_x]: (( hBOOL(hAPP(c_HOL_Oord__class_Oless(V_y,tc_nat),V_x))| hBOOL(hAPP(c_HOL_Oord__class_Oless(V_x,tc_nat),V_y))| V_x = V_y ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f206,axiom,(
% 64.67/8.56 (![V_m,V_n]: (( V_m = V_n| ~ hBOOL(hAPP(c_lessequals(V_n,tc_nat),V_m))| ~ hBOOL(hAPP(c_lessequals(V_m,tc_nat),V_n)) ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f217,axiom,(
% 64.67/8.56 (![V_x]: (hBOOL(hAPP(c_HOL_Oord__class_Oless(V_x,tc_nat),c_Suc(V_x))) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f250,axiom,(
% 64.67/8.56 (![V_n]: (V_n != c_Suc(V_n) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f372,axiom,(
% 64.67/8.56 (![T_a,V_a]: (( ~ class_OrderedGroup_Omonoid__mult(T_a)| c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f373,axiom,(
% 64.67/8.56 (![T_a,V_a]: (( ~ class_OrderedGroup_Omonoid__mult(T_a)| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f382,axiom,(
% 64.67/8.56 (![V_nat_H]: (c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f384,axiom,(
% 64.67/8.56 (![V_n]: (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f385,axiom,(
% 64.67/8.56 (![V_m]: (c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.56 fof(f489,axiom,(
% 64.67/8.56 (![V_n]: (~ hBOOL(hAPP(c_HOL_Oord__class_Oless(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ))),
% 64.67/8.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f497,axiom,(
% 64.67/8.58 (![V_n]: (hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),V_n)) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f536,axiom,(
% 64.67/8.58 (![V_n]: (c_FFT__Mirabelle_Oroot(V_n) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f617,axiom,(
% 64.67/8.58 (![V_n]: (~ hBOOL(hAPP(c_HOL_Oord__class_Oless(V_n,tc_nat),V_n)) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f625,axiom,(
% 64.67/8.58 (![V_m,V_n]: (( hBOOL(hAPP(c_lessequals(V_m,tc_nat),V_n))| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(V_m,tc_nat),V_n)) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f642,axiom,(
% 64.67/8.58 (![V_n]: (~ hBOOL(hAPP(c_lessequals(c_Suc(V_n),tc_nat),V_n)) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f656,axiom,(
% 64.67/8.58 (![V_x]: (hBOOL(hAPP(c_lessequals(V_x,tc_nat),V_x)) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f685,axiom,(
% 64.67/8.58 (![V_n,V_m]: (( hBOOL(hAPP(c_lessequals(V_n,tc_nat),V_m))| hBOOL(hAPP(c_lessequals(V_m,tc_nat),V_n)) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f722,axiom,(
% 64.67/8.58 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f726,axiom,(
% 64.67/8.58 (![V_n]: (c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_SetInterval_Oord__class_OlessThan(V_n,tc_nat) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f728,axiom,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k)) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f729,axiom,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n)) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f748,axiom,(
% 64.67/8.58 (![V_n,V_k]: (( c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),tc_Complex_Ocomplex),V_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(V_k,tc_nat),V_n))| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),V_k)) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f754,axiom,(
% 64.67/8.58 (![T_a]: (( ~ class_Ring__and__Field_Ozero__neq__one(T_a)| c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f756,axiom,(
% 64.67/8.58 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f764,axiom,(
% 64.67/8.58 (![T_a,V_a,V_b,V_n]: (( ~ class_Ring__and__Field_Ofield(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a),V_n) = c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(V_a,T_a),V_n),hAPP(c_Power_Opower__class_Opower(V_b,T_a),V_n),T_a) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f765,axiom,(
% 64.67/8.58 (![V_n]: (hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),tc_Complex_Ocomplex),V_n) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f769,axiom,(
% 64.67/8.58 (![T_a,V_x]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f774,axiom,(
% 64.67/8.58 (![T_a,V_a,V_n]: (( ~ class_Ring__and__Field_Ofield(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),hAPP(c_Power_Opower__class_Opower(V_a,T_a),V_n),T_a) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),T_a),V_n) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f778,axiom,(
% 64.67/8.58 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f784,axiom,(
% 64.67/8.58 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f788,axiom,(
% 64.67/8.58 (![T_a,V_x,V_n]: (( ~ class_Ring__and__Field_Ofield(T_a)| c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(V_x,T_a),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(V_x,T_a),V_n),c_HOL_Oone__class_Oone(T_a),T_a),c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oone__class_Oone(T_a),T_a),T_a)| V_x = c_HOL_Oone__class_Oone(T_a) ) ))),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f789,negated_conjecture,(
% 64.67/8.58 c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f802,axiom,(
% 64.67/8.58 class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f803,axiom,(
% 64.67/8.58 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f812,axiom,(
% 64.67/8.58 class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f815,axiom,(
% 64.67/8.58 class_Orderings_Olinorder(tc_nat) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f816,axiom,(
% 64.67/8.58 class_Orderings_Oorder(tc_nat) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f830,axiom,(
% 64.67/8.58 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f832,axiom,(
% 64.67/8.58 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f860,axiom,(
% 64.67/8.58 class_Orderings_Olinorder(tc_Int_Oint) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f863,axiom,(
% 64.67/8.58 class_Int_Onumber__ring(tc_Int_Oint) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f865,axiom,(
% 64.67/8.58 class_Int_Onumber(tc_Int_Oint) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f870,axiom,(
% 64.67/8.58 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f871,axiom,(
% 64.67/8.58 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f876,axiom,(
% 64.67/8.58 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f879,axiom,(
% 64.67/8.58 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f882,axiom,(
% 64.67/8.58 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f884,axiom,(
% 64.67/8.58 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f887,axiom,(
% 64.67/8.58 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f890,axiom,(
% 64.67/8.58 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f892,axiom,(
% 64.67/8.58 class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f894,axiom,(
% 64.67/8.58 class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f895,axiom,(
% 64.67/8.58 class_Int_Onumber(tc_Complex_Ocomplex) ),
% 64.67/8.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 64.67/8.58 fof(f902,plain,(
% 64.67/8.58 ![X0,X1,X2]: (hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))|~hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f4])).
% 64.67/8.58 fof(f925,plain,(
% 64.67/8.58 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))|hBOOL(hAPP(c_lessequals(X2,X0),X1)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f18])).
% 64.67/8.58 fof(f942,plain,(
% 64.67/8.58 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)=c_HOL_Otimes__class_Otimes(X1,X0,tc_nat))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f31])).
% 64.67/8.58 fof(f959,plain,(
% 64.67/8.58 ![T_a]: ((~class_Ring__and__Field_Odivision__ring(T_a)|~class_Ring__and__Field_Odivision__by__zero(T_a))|(![V_a]: c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=V_a))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f41])).
% 64.67/8.58 fof(f960,plain,(
% 64.67/8.58 ![X0,X1]: (~class_Ring__and__Field_Odivision__ring(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)=X1)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f959])).
% 64.67/8.58 fof(f966,plain,(
% 64.67/8.58 ![T_a]: (~class_Ring__and__Field_Odvd(T_a)|(![V_b,V_k]: c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f47])).
% 64.67/8.58 fof(f967,plain,(
% 64.67/8.58 ![X0,X1,X2]: (~class_Ring__and__Field_Odvd(X0)|c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f966])).
% 64.67/8.58 fof(f988,plain,(
% 64.67/8.58 ![X0,X1]: (hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|~hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f61])).
% 64.67/8.58 fof(f994,plain,(
% 64.67/8.58 ![V_n]: ((![V_m]: ~c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))|V_n=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f66])).
% 64.67/8.58 fof(f995,plain,(
% 64.67/8.58 ![X0,X1]: (~c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f994])).
% 64.67/8.58 fof(f1158,plain,(
% 64.67/8.58 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|X1=c_HOL_Ozero__class_Ozero(X0)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f177])).
% 64.67/8.58 fof(f1191,plain,(
% 64.67/8.58 c_HOL_Oord__class_Oless(v_n,tc_nat)=c_lessequals(c_Suc(v_n),tc_nat)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f199])).
% 64.67/8.58 fof(f1196,plain,(
% 64.67/8.58 ![X0,X1]: (hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))|X1=X0)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f203])).
% 64.67/8.58 fof(f1200,plain,(
% 64.67/8.58 ![X0,X1]: (X0=X1|~hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))|~hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f206])).
% 64.67/8.58 fof(f1217,plain,(
% 64.67/8.58 ![X0]: (hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X0))))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f217])).
% 64.67/8.58 fof(f1275,plain,(
% 64.67/8.58 ![X0]: (~X0=c_Suc(X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f250])).
% 64.67/8.58 fof(f1475,plain,(
% 64.67/8.58 ![T_a]: (~class_OrderedGroup_Omonoid__mult(T_a)|(![V_a]: c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f372])).
% 64.67/8.58 fof(f1476,plain,(
% 64.67/8.58 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0)=X1)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f1475])).
% 64.67/8.58 fof(f1477,plain,(
% 64.67/8.58 ![T_a]: (~class_OrderedGroup_Omonoid__mult(T_a)|(![V_a]: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a)=V_a))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f373])).
% 64.67/8.58 fof(f1478,plain,(
% 64.67/8.58 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0)=X1)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f1477])).
% 64.67/8.58 fof(f1491,plain,(
% 64.67/8.58 ![X0]: (~c_Suc(X0)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f382])).
% 64.67/8.58 fof(f1493,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f384])).
% 64.67/8.58 fof(f1494,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f385])).
% 64.67/8.58 fof(f1652,plain,(
% 64.67/8.58 ![X0]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f489])).
% 64.67/8.58 fof(f1661,plain,(
% 64.67/8.58 ![X0]: (hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f497])).
% 64.67/8.58 fof(f1735,plain,(
% 64.67/8.58 ![X0]: (~c_FFT__Mirabelle_Oroot(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f536])).
% 64.67/8.58 fof(f1860,plain,(
% 64.67/8.58 ![X0]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f617])).
% 64.67/8.58 fof(f1869,plain,(
% 64.67/8.58 ![X0,X1]: (hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f625])).
% 64.67/8.58 fof(f1896,plain,(
% 64.67/8.58 ![X0]: (~hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X0)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f642])).
% 64.67/8.58 fof(f1920,plain,(
% 64.67/8.58 ![X0]: (hBOOL(hAPP(c_lessequals(X0,tc_nat),X0)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f656])).
% 64.67/8.58 fof(f1959,plain,(
% 64.67/8.58 ![X0,X1]: (hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))|hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f685])).
% 64.67/8.58 fof(f2024,plain,(
% 64.67/8.58 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a]: c_HOL_Oinverse__class_Oinverse(V_a,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f722])).
% 64.67/8.58 fof(f2025,plain,(
% 64.67/8.58 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Oinverse(X1,X0)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2024])).
% 64.67/8.58 fof(f2030,plain,(
% 64.67/8.58 ![X0]: (c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_SetInterval_Oord__class_OlessThan(X0,tc_nat))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f726])).
% 64.67/8.58 fof(f2032,plain,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f728])).
% 64.67/8.58 fof(f2033,plain,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f729])).
% 64.67/8.58 fof(f2060,plain,(
% 64.67/8.58 ![V_k]: ((![V_n]: (c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),tc_Complex_Ocomplex),V_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~hBOOL(hAPP(c_HOL_Oord__class_Oless(V_k,tc_nat),V_n))))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),V_k)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f748])).
% 64.67/8.58 fof(f2061,plain,(
% 64.67/8.58 ![X0,X1]: (c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2060])).
% 64.67/8.58 fof(f2071,plain,(
% 64.67/8.58 ![X0]: (~class_Ring__and__Field_Ozero__neq__one(X0)|~c_HOL_Ozero__class_Ozero(X0)=c_HOL_Oone__class_Oone(X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f754])).
% 64.67/8.58 fof(f2073,plain,(
% 64.67/8.58 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a]: c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f756])).
% 64.67/8.58 fof(f2074,plain,(
% 64.67/8.58 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0)=X1)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2073])).
% 64.67/8.58 fof(f2089,plain,(
% 64.67/8.58 ![T_a]: ((~class_Ring__and__Field_Ofield(T_a)|~class_Ring__and__Field_Odivision__by__zero(T_a))|(![V_a,V_b,V_n]: hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a),V_n)=c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(V_a,T_a),V_n),hAPP(c_Power_Opower__class_Opower(V_b,T_a),V_n),T_a)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f764])).
% 64.67/8.58 fof(f2090,plain,(
% 64.67/8.58 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ofield(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0),X3)=c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(X1,X0),X3),hAPP(c_Power_Opower__class_Opower(X2,X0),X3),X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2089])).
% 64.67/8.58 fof(f2091,plain,(
% 64.67/8.58 ![X0]: (hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X0)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f765])).
% 64.67/8.58 fof(f2097,plain,(
% 64.67/8.58 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_x]: c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f769])).
% 64.67/8.58 fof(f2098,plain,(
% 64.67/8.58 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_HOL_Ominus__class_Ominus(X1,X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2097])).
% 64.67/8.58 fof(f2107,plain,(
% 64.67/8.58 ![T_a]: ((~class_Ring__and__Field_Ofield(T_a)|~class_Ring__and__Field_Odivision__by__zero(T_a))|(![V_a,V_n]: c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),hAPP(c_Power_Opower__class_Opower(V_a,T_a),V_n),T_a)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),T_a),V_n)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f774])).
% 64.67/8.58 fof(f2108,plain,(
% 64.67/8.58 ![X0,X1,X2]: (~class_Ring__and__Field_Ofield(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(c_Power_Opower__class_Opower(X1,X0),X2),X0)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0),X2))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2107])).
% 64.67/8.58 fof(f2113,plain,(
% 64.67/8.58 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oinverse__class_Odivide(X1,X1,X0)=c_HOL_Oone__class_Oone(X0)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f778])).
% 64.67/8.58 fof(f2124,plain,(
% 64.67/8.58 ![T_a]: (~class_Ring__and__Field_Ofield(T_a)|(![V_a]: c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f784])).
% 64.67/8.58 fof(f2125,plain,(
% 64.67/8.58 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2124])).
% 64.67/8.58 fof(f2132,plain,(
% 64.67/8.58 ![T_a,V_x]: ((~class_Ring__and__Field_Ofield(T_a)|(![V_n]: c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(V_x,T_a),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(V_x,T_a),V_n),c_HOL_Oone__class_Oone(T_a),T_a),c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oone__class_Oone(T_a),T_a),T_a)))|V_x=c_HOL_Oone__class_Oone(T_a))),
% 64.67/8.58 inference(miniscoping,[status(esa)],[f788])).
% 64.67/8.58 fof(f2133,plain,(
% 64.67/8.58 ![X0,X1,X2]: (~class_Ring__and__Field_Ofield(X0)|c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X1,X0),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X0)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X1,X0),X2),c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(X0),X0),X0)|X1=c_HOL_Oone__class_Oone(X0))),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f2132])).
% 64.67/8.58 fof(f2134,plain,(
% 64.67/8.58 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f789])).
% 64.67/8.58 fof(f2153,plain,(
% 64.67/8.58 class_Ring__and__Field_Oordered__semidom(tc_nat)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f802])).
% 64.67/8.58 fof(f2154,plain,(
% 64.67/8.58 class_Ring__and__Field_Ocomm__semiring__1(tc_nat)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f803])).
% 64.67/8.58 fof(f2163,plain,(
% 64.67/8.58 class_OrderedGroup_Omonoid__mult(tc_nat)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f812])).
% 64.67/8.58 fof(f2166,plain,(
% 64.67/8.58 class_Orderings_Olinorder(tc_nat)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f815])).
% 64.67/8.58 fof(f2167,plain,(
% 64.67/8.58 class_Orderings_Oorder(tc_nat)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f816])).
% 64.67/8.58 fof(f2181,plain,(
% 64.67/8.58 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f830])).
% 64.67/8.58 fof(f2183,plain,(
% 64.67/8.58 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f832])).
% 64.67/8.58 fof(f2211,plain,(
% 64.67/8.58 class_Orderings_Olinorder(tc_Int_Oint)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f860])).
% 64.67/8.58 fof(f2214,plain,(
% 64.67/8.58 class_Int_Onumber__ring(tc_Int_Oint)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f863])).
% 64.67/8.58 fof(f2216,plain,(
% 64.67/8.58 class_Int_Onumber(tc_Int_Oint)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f865])).
% 64.67/8.58 fof(f2221,plain,(
% 64.67/8.58 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f870])).
% 64.67/8.58 fof(f2222,plain,(
% 64.67/8.58 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f871])).
% 64.67/8.58 fof(f2227,plain,(
% 64.67/8.58 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f876])).
% 64.67/8.58 fof(f2230,plain,(
% 64.67/8.58 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f879])).
% 64.67/8.58 fof(f2233,plain,(
% 64.67/8.58 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f882])).
% 64.67/8.58 fof(f2235,plain,(
% 64.67/8.58 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f884])).
% 64.67/8.58 fof(f2238,plain,(
% 64.67/8.58 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f887])).
% 64.67/8.58 fof(f2241,plain,(
% 64.67/8.58 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f890])).
% 64.67/8.58 fof(f2243,plain,(
% 64.67/8.58 class_Int_Onumber__ring(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f892])).
% 64.67/8.58 fof(f2245,plain,(
% 64.67/8.58 class_SEQ_Obanach(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f894])).
% 64.67/8.58 fof(f2246,plain,(
% 64.67/8.58 class_Int_Onumber(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(cnf_transformation,[status(esa)],[f895])).
% 64.67/8.58 fof(f2260,plain,(
% 64.67/8.58 ![X0,X1]: (hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))|~hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(X0,v_k,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,v_k,tc_nat))))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2032,f902])).
% 64.67/8.58 fof(f2288,plain,(
% 64.67/8.58 spl0_0 <=> c_Suc(v_n)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f2289,plain,(
% 64.67/8.58 c_Suc(v_n)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_0),
% 64.67/8.58 inference(component_clause,[status(thm)],[f2288])).
% 64.67/8.58 fof(f2546,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2125,f2238])).
% 64.67/8.58 fof(f2547,plain,(
% 64.67/8.58 spl0_7 <=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f2549,plain,(
% 64.67/8.58 ~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|spl0_7),
% 64.67/8.58 inference(component_clause,[status(thm)],[f2547])).
% 64.67/8.58 fof(f2555,plain,(
% 64.67/8.58 $false|spl0_7),
% 64.67/8.58 inference(forward_subsumption_resolution,[status(thm)],[f2549,f2221])).
% 64.67/8.58 fof(f2556,plain,(
% 64.67/8.58 spl0_7),
% 64.67/8.58 inference(contradiction_clause,[status(thm)],[f2555])).
% 64.67/8.58 fof(f2557,plain,(
% 64.67/8.58 spl0_9 <=> c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f2558,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_9)),
% 64.67/8.58 inference(component_clause,[status(thm)],[f2557])).
% 64.67/8.58 fof(f2560,plain,(
% 64.67/8.58 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2113,f2238])).
% 64.67/8.58 fof(f2561,plain,(
% 64.67/8.58 ~spl0_7|spl0_9),
% 64.67/8.58 inference(split_clause,[status(thm)],[f2560,f2547,f2557])).
% 64.67/8.58 fof(f2562,plain,(
% 64.67/8.58 spl0_10 <=> c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1)),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f2563,plain,(
% 64.67/8.58 ![X0,X1]: (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1)|~spl0_10)),
% 64.67/8.58 inference(component_clause,[status(thm)],[f2562])).
% 64.67/8.58 fof(f2565,plain,(
% 64.67/8.58 ![X0,X1]: (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2108,f2238])).
% 64.67/8.58 fof(f2566,plain,(
% 64.67/8.58 ~spl0_7|spl0_10),
% 64.67/8.58 inference(split_clause,[status(thm)],[f2565,f2547,f2562])).
% 64.67/8.58 fof(f2579,plain,(
% 64.67/8.58 spl0_12 <=> c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f2580,plain,(
% 64.67/8.58 c_HOL_Ozero__class_Ozero(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~spl0_12),
% 64.67/8.58 inference(component_clause,[status(thm)],[f2579])).
% 64.67/8.58 fof(f2643,plain,(
% 64.67/8.58 spl0_24 <=> class_Orderings_Olinorder(tc_nat)),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f2645,plain,(
% 64.67/8.58 ~class_Orderings_Olinorder(tc_nat)|spl0_24),
% 64.67/8.58 inference(component_clause,[status(thm)],[f2643])).
% 64.67/8.58 fof(f2651,plain,(
% 64.67/8.58 $false|spl0_24),
% 64.67/8.58 inference(forward_subsumption_resolution,[status(thm)],[f2645,f2166])).
% 64.67/8.58 fof(f2652,plain,(
% 64.67/8.58 spl0_24),
% 64.67/8.58 inference(contradiction_clause,[status(thm)],[f2651])).
% 64.67/8.58 fof(f2653,plain,(
% 64.67/8.58 spl0_26 <=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f2654,plain,(
% 64.67/8.58 c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|~spl0_26),
% 64.67/8.58 inference(component_clause,[status(thm)],[f2653])).
% 64.67/8.58 fof(f2830,plain,(
% 64.67/8.58 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|X1=X0|~hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)))),
% 64.67/8.58 inference(resolution,[status(thm)],[f1869,f1200])).
% 64.67/8.58 fof(f2969,plain,(
% 64.67/8.58 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|X1=X0|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2830,f1869])).
% 64.67/8.58 fof(f3242,plain,(
% 64.67/8.58 spl0_49 <=> hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f3243,plain,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))|~spl0_49),
% 64.67/8.58 inference(component_clause,[status(thm)],[f3242])).
% 64.67/8.58 fof(f3335,plain,(
% 64.67/8.58 spl0_61 <=> hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_k))),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f3337,plain,(
% 64.67/8.58 ~hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_k))|spl0_61),
% 64.67/8.58 inference(component_clause,[status(thm)],[f3335])).
% 64.67/8.58 fof(f3338,plain,(
% 64.67/8.58 spl0_62 <=> v_k=v_n),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f3339,plain,(
% 64.67/8.58 v_k=v_n|~spl0_62),
% 64.67/8.58 inference(component_clause,[status(thm)],[f3338])).
% 64.67/8.58 fof(f3341,plain,(
% 64.67/8.58 ~hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_k))|v_k=v_n),
% 64.67/8.58 inference(resolution,[status(thm)],[f2969,f2033])).
% 64.67/8.58 fof(f3342,plain,(
% 64.67/8.58 ~spl0_61|spl0_62),
% 64.67/8.58 inference(split_clause,[status(thm)],[f3341,f3335,f3338])).
% 64.67/8.58 fof(f3355,plain,(
% 64.67/8.58 spl0_64 <=> hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n))),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f3358,plain,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n))|v_n=v_k|spl0_61),
% 64.67/8.58 inference(resolution,[status(thm)],[f3337,f1196])).
% 64.67/8.58 fof(f3359,plain,(
% 64.67/8.58 spl0_64|spl0_62|spl0_61),
% 64.67/8.58 inference(split_clause,[status(thm)],[f3358,f3355,f3338,f3335])).
% 64.67/8.58 fof(f3373,plain,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_n))|~spl0_62),
% 64.67/8.58 inference(backward_demodulation,[status(thm)],[f3339,f2033])).
% 64.67/8.58 fof(f3374,plain,(
% 64.67/8.58 $false|~spl0_62),
% 64.67/8.58 inference(forward_subsumption_resolution,[status(thm)],[f3373,f1860])).
% 64.67/8.58 fof(f3375,plain,(
% 64.67/8.58 ~spl0_62),
% 64.67/8.58 inference(contradiction_clause,[status(thm)],[f3374])).
% 64.67/8.58 fof(f3548,plain,(
% 64.67/8.58 spl0_75 <=> hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2)=c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X2),hAPP(c_Power_Opower__class_Opower(X1,tc_Complex_Ocomplex),X2),tc_Complex_Ocomplex)),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f3549,plain,(
% 64.67/8.58 ![X0,X1,X2]: (hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2)=c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X2),hAPP(c_Power_Opower__class_Opower(X1,tc_Complex_Ocomplex),X2),tc_Complex_Ocomplex)|~spl0_75)),
% 64.67/8.58 inference(component_clause,[status(thm)],[f3548])).
% 64.67/8.58 fof(f3551,plain,(
% 64.67/8.58 ![X0,X1,X2]: (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2)=c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X2),hAPP(c_Power_Opower__class_Opower(X1,tc_Complex_Ocomplex),X2),tc_Complex_Ocomplex))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2090,f2238])).
% 64.67/8.58 fof(f3552,plain,(
% 64.67/8.58 ~spl0_7|spl0_75),
% 64.67/8.58 inference(split_clause,[status(thm)],[f3551,f2547,f3548])).
% 64.67/8.58 fof(f4100,plain,(
% 64.67/8.58 ![X0,X1]: (c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|X0=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2133,f2238])).
% 64.67/8.58 fof(f4286,plain,(
% 64.67/8.58 spl0_97 <=> hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_n))),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f4287,plain,(
% 64.67/8.58 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_n))|~spl0_97),
% 64.67/8.58 inference(component_clause,[status(thm)],[f4286])).
% 64.67/8.58 fof(f4538,plain,(
% 64.67/8.58 ~c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
% 64.67/8.58 inference(resolution,[status(thm)],[f2071,f2230])).
% 64.67/8.58 fof(f4566,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X0)),
% 64.67/8.58 inference(resolution,[status(thm)],[f1476,f2163])).
% 64.67/8.58 fof(f4585,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)=X0)),
% 64.67/8.58 inference(paramodulation,[status(thm)],[f942,f4566])).
% 64.67/8.58 fof(f4636,plain,(
% 64.67/8.58 spl0_117 <=> hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f4638,plain,(
% 64.67/8.58 ~hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))|spl0_117),
% 64.67/8.58 inference(component_clause,[status(thm)],[f4636])).
% 64.67/8.58 fof(f4774,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=X0)),
% 64.67/8.58 inference(resolution,[status(thm)],[f1478,f2235])).
% 64.67/8.58 fof(f4786,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=X0)),
% 64.67/8.58 inference(resolution,[status(thm)],[f2074,f2238])).
% 64.67/8.58 fof(f4794,plain,(
% 64.67/8.58 $false|~spl0_26),
% 64.67/8.58 inference(forward_subsumption_resolution,[status(thm)],[f2654,f4538])).
% 64.67/8.58 fof(f4795,plain,(
% 64.67/8.58 ~spl0_26),
% 64.67/8.58 inference(contradiction_clause,[status(thm)],[f4794])).
% 64.67/8.58 fof(f4796,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 64.67/8.58 inference(resolution,[status(thm)],[f2098,f2233])).
% 64.67/8.58 fof(f4808,plain,(
% 64.67/8.58 spl0_122 <=> c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=X0),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f4809,plain,(
% 64.67/8.58 ![X0]: (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=X0|~spl0_122)),
% 64.67/8.58 inference(component_clause,[status(thm)],[f4808])).
% 64.67/8.58 fof(f4811,plain,(
% 64.67/8.58 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=X0)),
% 64.67/8.58 inference(resolution,[status(thm)],[f960,f2227])).
% 64.67/8.58 fof(f4812,plain,(
% 64.67/8.58 ~spl0_7|spl0_122),
% 64.67/8.58 inference(split_clause,[status(thm)],[f4811,f2547,f4808])).
% 64.67/8.58 fof(f4851,plain,(
% 64.67/8.58 spl0_129 <=> v_n=v_n),
% 64.67/8.58 introduced(split_symbol_definition)).
% 64.67/8.58 fof(f4853,plain,(
% 64.67/8.58 ~v_n=v_n|spl0_129),
% 64.67/8.58 inference(component_clause,[status(thm)],[f4851])).
% 64.67/8.58 fof(f4864,plain,(
% 64.67/8.58 $false|spl0_129),
% 64.67/8.58 inference(trivial_equality_resolution,[status(esa)],[f4853])).
% 64.67/8.59 fof(f4865,plain,(
% 64.67/8.59 spl0_129),
% 64.67/8.59 inference(contradiction_clause,[status(thm)],[f4864])).
% 64.67/8.59 fof(f4880,plain,(
% 64.67/8.59 spl0_131 <=> v_k=v_k),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f4882,plain,(
% 64.67/8.59 ~v_k=v_k|spl0_131),
% 64.67/8.59 inference(component_clause,[status(thm)],[f4880])).
% 64.67/8.59 fof(f5128,plain,(
% 64.67/8.59 spl0_151 <=> ~c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|X0=X1),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f5129,plain,(
% 64.67/8.59 ![X0,X1]: (~c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|X0=X1|~spl0_151)),
% 64.67/8.59 inference(component_clause,[status(thm)],[f5128])).
% 64.67/8.59 fof(f5174,plain,(
% 64.67/8.59 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|X1=X0|~spl0_151)),
% 64.67/8.59 inference(forward_demodulation,[status(thm)],[f1493,f5129])).
% 64.67/8.59 fof(f5175,plain,(
% 64.67/8.59 ![X0,X1]: (~c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=X1|~spl0_151)),
% 64.67/8.59 inference(forward_demodulation,[status(thm)],[f1493,f5174])).
% 64.67/8.59 fof(f5176,plain,(
% 64.67/8.59 ![X0,X1]: (X0=X1|~spl0_151)),
% 64.67/8.59 inference(trivial_equality_resolution,[status(esa)],[f5175])).
% 64.67/8.59 fof(f5309,plain,(
% 64.67/8.59 spl0_161 <=> hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1))),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f5310,plain,(
% 64.67/8.59 ![X0,X1]: (hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1))|~spl0_161)),
% 64.67/8.59 inference(component_clause,[status(thm)],[f5309])).
% 64.67/8.59 fof(f5346,plain,(
% 64.67/8.59 $false|~spl0_151),
% 64.67/8.59 inference(backward_subsumption_resolution,[status(thm)],[f1491,f5176])).
% 64.67/8.59 fof(f5347,plain,(
% 64.67/8.59 ~spl0_151),
% 64.67/8.59 inference(contradiction_clause,[status(thm)],[f5346])).
% 64.67/8.59 fof(f5366,plain,(
% 64.67/8.59 ![X0]: (X0=c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
% 64.67/8.59 inference(paramodulation,[status(thm)],[f4585,f942])).
% 64.67/8.59 fof(f5478,plain,(
% 64.67/8.59 ![X0,X1]: (hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_FFT__Mirabelle_Oroot(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1)=c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_75)),
% 64.67/8.59 inference(paramodulation,[status(thm)],[f2091,f3549])).
% 64.67/8.59 fof(f5479,plain,(
% 64.67/8.59 ![X0,X1]: (hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,c_FFT__Mirabelle_Oroot(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1)=hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1)|~spl0_75)),
% 64.67/8.59 inference(forward_demodulation,[status(thm)],[f4786,f5478])).
% 64.67/8.59 fof(f5535,plain,(
% 64.67/8.59 ![X0]: (hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0)=hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X0)|c_FFT__Mirabelle_Oroot(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_75|~spl0_9)),
% 64.67/8.59 inference(paramodulation,[status(thm)],[f2558,f5479])).
% 64.67/8.59 fof(f5536,plain,(
% 64.67/8.59 ![X0]: (hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|c_FFT__Mirabelle_Oroot(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_75|~spl0_9)),
% 64.67/8.59 inference(forward_demodulation,[status(thm)],[f2091,f5535])).
% 64.67/8.59 fof(f5537,plain,(
% 64.67/8.59 ![X0]: (hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|~spl0_75|~spl0_9)),
% 64.67/8.59 inference(forward_subsumption_resolution,[status(thm)],[f5536,f1735])).
% 64.67/8.59 fof(f5652,plain,(
% 64.67/8.59 spl0_163 <=> c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f5653,plain,(
% 64.67/8.59 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|~spl0_163),
% 64.67/8.59 inference(component_clause,[status(thm)],[f5652])).
% 64.67/8.59 fof(f5695,plain,(
% 64.67/8.59 ![X0,X1]: (c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 64.67/8.59 inference(resolution,[status(thm)],[f967,f2241])).
% 64.67/8.59 fof(f5699,plain,(
% 64.67/8.59 ![X0]: (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex))),
% 64.67/8.59 inference(paramodulation,[status(thm)],[f4774,f5695])).
% 64.67/8.59 fof(f6370,plain,(
% 64.67/8.59 spl0_171 <=> hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k))),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6373,plain,(
% 64.67/8.59 spl0_172 <=> hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6375,plain,(
% 64.67/8.59 ~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))|spl0_172),
% 64.67/8.59 inference(component_clause,[status(thm)],[f6373])).
% 64.67/8.59 fof(f6424,plain,(
% 64.67/8.59 $false|spl0_131),
% 64.67/8.59 inference(trivial_equality_resolution,[status(esa)],[f4882])).
% 64.67/8.59 fof(f6425,plain,(
% 64.67/8.59 spl0_131),
% 64.67/8.59 inference(contradiction_clause,[status(thm)],[f6424])).
% 64.67/8.59 fof(f6426,plain,(
% 64.67/8.59 $false|spl0_117),
% 64.67/8.59 inference(forward_subsumption_resolution,[status(thm)],[f4638,f1920])).
% 64.67/8.59 fof(f6427,plain,(
% 64.67/8.59 spl0_117),
% 64.67/8.59 inference(contradiction_clause,[status(thm)],[f6426])).
% 64.67/8.59 fof(f6428,plain,(
% 64.67/8.59 $false|~spl0_12),
% 64.67/8.59 inference(forward_subsumption_resolution,[status(thm)],[f2580,f1275])).
% 64.67/8.59 fof(f6429,plain,(
% 64.67/8.59 ~spl0_12),
% 64.67/8.59 inference(contradiction_clause,[status(thm)],[f6428])).
% 64.67/8.59 fof(f6529,plain,(
% 64.67/8.59 spl0_186 <=> ~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)))),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6530,plain,(
% 64.67/8.59 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)))|~spl0_186)),
% 64.67/8.59 inference(component_clause,[status(thm)],[f6529])).
% 64.67/8.59 fof(f6567,plain,(
% 64.67/8.59 spl0_190 <=> ~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6568,plain,(
% 64.67/8.59 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~spl0_190)),
% 64.67/8.59 inference(component_clause,[status(thm)],[f6567])).
% 64.67/8.59 fof(f6660,plain,(
% 64.67/8.59 ![X0]: (hBOOL(hAPP(c_lessequals(X0,tc_nat),c_Suc(X0))))),
% 64.67/8.59 inference(resolution,[status(thm)],[f1896,f1959])).
% 64.67/8.59 fof(f6770,plain,(
% 64.67/8.59 spl0_196 <=> class_SEQ_Obanach(tc_Complex_Ocomplex)),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6772,plain,(
% 64.67/8.59 ~class_SEQ_Obanach(tc_Complex_Ocomplex)|spl0_196),
% 64.67/8.59 inference(component_clause,[status(thm)],[f6770])).
% 64.67/8.59 fof(f6778,plain,(
% 64.67/8.59 $false|spl0_196),
% 64.67/8.59 inference(forward_subsumption_resolution,[status(thm)],[f6772,f2245])).
% 64.67/8.59 fof(f6779,plain,(
% 64.67/8.59 spl0_196),
% 64.67/8.59 inference(contradiction_clause,[status(thm)],[f6778])).
% 64.67/8.59 fof(f6811,plain,(
% 64.67/8.59 spl0_198 <=> c_HOL_Ozero__class_Ozero(tc_Int_Oint)=c_HOL_Ozero__class_Ozero(tc_Int_Oint)),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6813,plain,(
% 64.67/8.59 ~c_HOL_Ozero__class_Ozero(tc_Int_Oint)=c_HOL_Ozero__class_Ozero(tc_Int_Oint)|spl0_198),
% 64.67/8.59 inference(component_clause,[status(thm)],[f6811])).
% 64.67/8.59 fof(f6816,plain,(
% 64.67/8.59 $false|spl0_198),
% 64.67/8.59 inference(trivial_equality_resolution,[status(esa)],[f6813])).
% 64.67/8.59 fof(f6817,plain,(
% 64.67/8.59 spl0_198),
% 64.67/8.59 inference(contradiction_clause,[status(thm)],[f6816])).
% 64.67/8.59 fof(f6855,plain,(
% 64.67/8.59 spl0_199 <=> class_Int_Onumber(tc_Complex_Ocomplex)),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6857,plain,(
% 64.67/8.59 ~class_Int_Onumber(tc_Complex_Ocomplex)|spl0_199),
% 64.67/8.59 inference(component_clause,[status(thm)],[f6855])).
% 64.67/8.59 fof(f6863,plain,(
% 64.67/8.59 spl0_201 <=> class_Int_Onumber(tc_Int_Oint)),
% 64.67/8.59 introduced(split_symbol_definition)).
% 64.67/8.59 fof(f6865,plain,(
% 64.86/8.59 ~class_Int_Onumber(tc_Int_Oint)|spl0_201),
% 64.86/8.59 inference(component_clause,[status(thm)],[f6863])).
% 64.86/8.59 fof(f6871,plain,(
% 64.86/8.59 $false|spl0_201),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f6865,f2216])).
% 64.86/8.59 fof(f6872,plain,(
% 64.86/8.59 spl0_201),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f6871])).
% 64.86/8.59 fof(f6873,plain,(
% 64.86/8.59 $false|spl0_199),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f6857,f2246])).
% 64.86/8.59 fof(f6874,plain,(
% 64.86/8.59 spl0_199),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f6873])).
% 64.86/8.59 fof(f6875,plain,(
% 64.86/8.59 c_HOL_Oone__class_Oone(tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 64.86/8.59 inference(resolution,[status(thm)],[f995,f5366])).
% 64.86/8.59 fof(f6884,plain,(
% 64.86/8.59 spl0_204 <=> ~X0=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f6885,plain,(
% 64.86/8.59 ![X0]: (~X0=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~spl0_204)),
% 64.86/8.59 inference(component_clause,[status(thm)],[f6884])).
% 64.86/8.59 fof(f6894,plain,(
% 64.86/8.59 $false|~spl0_204),
% 64.86/8.59 inference(destructive_equality_resolution,[status(esa)],[f6885])).
% 64.86/8.59 fof(f6895,plain,(
% 64.86/8.59 ~spl0_204),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f6894])).
% 64.86/8.59 fof(f6919,plain,(
% 64.86/8.59 ~hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 64.86/8.59 inference(paramodulation,[status(thm)],[f6875,f1896])).
% 64.86/8.59 fof(f6982,plain,(
% 64.86/8.59 $false|~spl0_49),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f3243,f1652])).
% 64.86/8.59 fof(f6983,plain,(
% 64.86/8.59 ~spl0_49),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f6982])).
% 64.86/8.59 fof(f7231,plain,(
% 64.86/8.59 ~hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))|spl0_172),
% 64.86/8.59 inference(resolution,[status(thm)],[f6375,f988])).
% 64.86/8.59 fof(f7232,plain,(
% 64.86/8.59 ~hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))|spl0_172),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f6875,f7231])).
% 64.86/8.59 fof(f7233,plain,(
% 64.86/8.59 $false|spl0_172),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f7232,f1920])).
% 64.86/8.59 fof(f7234,plain,(
% 64.86/8.59 spl0_172),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f7233])).
% 64.86/8.59 fof(f7277,plain,(
% 64.86/8.59 ~hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),v_k,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),v_k,tc_nat)))),
% 64.86/8.59 inference(resolution,[status(thm)],[f6919,f2260])).
% 64.86/8.59 fof(f7278,plain,(
% 64.86/8.59 ~hBOOL(hAPP(c_lessequals(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),v_k,tc_nat)))),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f4585,f7277])).
% 64.86/8.59 fof(f7279,plain,(
% 64.86/8.59 ~hBOOL(hAPP(c_lessequals(v_k,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f1493,f7278])).
% 64.86/8.59 fof(f7333,plain,(
% 64.86/8.59 ~class_Orderings_Olinorder(tc_nat)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k))),
% 64.86/8.59 inference(resolution,[status(thm)],[f7279,f925])).
% 64.86/8.59 fof(f7334,plain,(
% 64.86/8.59 ~spl0_24|spl0_171),
% 64.86/8.59 inference(split_clause,[status(thm)],[f7333,f2643,f6370])).
% 64.86/8.59 fof(f8181,plain,(
% 64.86/8.59 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex))),
% 64.86/8.59 inference(resolution,[status(thm)],[f1158,f2222])).
% 64.86/8.59 fof(f8188,plain,(
% 64.86/8.59 ![X0]: (c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex))),
% 64.86/8.59 inference(resolution,[status(thm)],[f2025,f2238])).
% 64.86/8.59 fof(f8189,plain,(
% 64.86/8.59 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.59 inference(backward_demodulation,[status(thm)],[f2030,f2134])).
% 64.86/8.59 fof(f8190,plain,(
% 64.86/8.59 ![X0,X1]: (c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(X0,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)))),
% 64.86/8.59 inference(backward_demodulation,[status(thm)],[f2030,f2061])).
% 64.86/8.59 fof(f8192,plain,(
% 64.86/8.59 spl0_267 <=> class_Int_Onumber__ring(tc_Complex_Ocomplex)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f8194,plain,(
% 64.86/8.59 ~class_Int_Onumber__ring(tc_Complex_Ocomplex)|spl0_267),
% 64.86/8.59 inference(component_clause,[status(thm)],[f8192])).
% 64.86/8.59 fof(f8200,plain,(
% 64.86/8.59 spl0_269 <=> class_Int_Onumber__ring(tc_Int_Oint)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f8202,plain,(
% 64.86/8.59 ~class_Int_Onumber__ring(tc_Int_Oint)|spl0_269),
% 64.86/8.59 inference(component_clause,[status(thm)],[f8200])).
% 64.86/8.59 fof(f8208,plain,(
% 64.86/8.59 $false|spl0_269),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f8202,f2214])).
% 64.86/8.59 fof(f8209,plain,(
% 64.86/8.59 spl0_269),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f8208])).
% 64.86/8.59 fof(f8210,plain,(
% 64.86/8.59 $false|spl0_267),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f8194,f2243])).
% 64.86/8.59 fof(f8211,plain,(
% 64.86/8.59 spl0_267),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f8210])).
% 64.86/8.59 fof(f8255,plain,(
% 64.86/8.59 spl0_272 <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f8257,plain,(
% 64.86/8.59 ~class_Ring__and__Field_Ocomm__semiring__1(tc_nat)|spl0_272),
% 64.86/8.59 inference(component_clause,[status(thm)],[f8255])).
% 64.86/8.59 fof(f8274,plain,(
% 64.86/8.59 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_9),
% 64.86/8.59 inference(paramodulation,[status(thm)],[f2558,f8188])).
% 64.86/8.59 fof(f8275,plain,(
% 64.86/8.59 spl0_163|spl0_26|~spl0_9),
% 64.86/8.59 inference(split_clause,[status(thm)],[f8274,f5652,f2653,f2557])).
% 64.86/8.59 fof(f8331,plain,(
% 64.86/8.59 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f8188,f8189])).
% 64.86/8.59 fof(f8332,plain,(
% 64.86/8.59 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f8188,f8331])).
% 64.86/8.59 fof(f8333,plain,(
% 64.86/8.59 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f8188,f8332])).
% 64.86/8.59 fof(f8393,plain,(
% 64.86/8.59 $false|spl0_272),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f8257,f2154])).
% 64.86/8.59 fof(f8394,plain,(
% 64.86/8.59 spl0_272),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f8393])).
% 64.86/8.59 fof(f9973,plain,(
% 64.86/8.59 spl0_307 <=> c_FFT__Mirabelle_Oroot(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f9974,plain,(
% 64.86/8.59 ![X0]: (c_FFT__Mirabelle_Oroot(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_307)),
% 64.86/8.59 inference(component_clause,[status(thm)],[f9973])).
% 64.86/8.59 fof(f10047,plain,(
% 64.86/8.59 spl0_316 <=> hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f10048,plain,(
% 64.86/8.59 ![X0,X1]: (hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|~spl0_316)),
% 64.86/8.59 inference(component_clause,[status(thm)],[f10047])).
% 64.86/8.59 fof(f11520,plain,(
% 64.86/8.59 spl0_339 <=> class_Orderings_Olinorder(tc_Int_Oint)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f11522,plain,(
% 64.86/8.59 ~class_Orderings_Olinorder(tc_Int_Oint)|spl0_339),
% 64.86/8.59 inference(component_clause,[status(thm)],[f11520])).
% 64.86/8.59 fof(f11528,plain,(
% 64.86/8.59 spl0_341 <=> class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f11530,plain,(
% 64.86/8.59 ~class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint)|spl0_341),
% 64.86/8.59 inference(component_clause,[status(thm)],[f11528])).
% 64.86/8.59 fof(f11541,plain,(
% 64.86/8.59 spl0_344 <=> class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f11543,plain,(
% 64.86/8.59 ~class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint)|spl0_344),
% 64.86/8.59 inference(component_clause,[status(thm)],[f11541])).
% 64.86/8.59 fof(f11551,plain,(
% 64.86/8.59 $false|spl0_339),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f11522,f2211])).
% 64.86/8.59 fof(f11552,plain,(
% 64.86/8.59 spl0_339),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f11551])).
% 64.86/8.59 fof(f11553,plain,(
% 64.86/8.59 $false|spl0_344),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f11543,f2183])).
% 64.86/8.59 fof(f11554,plain,(
% 64.86/8.59 spl0_344),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f11553])).
% 64.86/8.59 fof(f11555,plain,(
% 64.86/8.59 $false|spl0_341),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f11530,f2181])).
% 64.86/8.59 fof(f11556,plain,(
% 64.86/8.59 spl0_341),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f11555])).
% 64.86/8.59 fof(f11663,plain,(
% 64.86/8.59 spl0_346 <=> class_Orderings_Oorder(tc_nat)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f11665,plain,(
% 64.86/8.59 ~class_Orderings_Oorder(tc_nat)|spl0_346),
% 64.86/8.59 inference(component_clause,[status(thm)],[f11663])).
% 64.86/8.59 fof(f11671,plain,(
% 64.86/8.59 $false|spl0_346),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f11665,f2167])).
% 64.86/8.59 fof(f11672,plain,(
% 64.86/8.59 spl0_346),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f11671])).
% 64.86/8.59 fof(f12344,plain,(
% 64.86/8.59 ![X0,X1]: (c_HOL_Oinverse__class_Oinverse(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1)|~spl0_10)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f8188,f2563])).
% 64.86/8.59 fof(f12345,plain,(
% 64.86/8.59 ![X0,X1]: (c_HOL_Oinverse__class_Oinverse(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1)|~spl0_10)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f8188,f12344])).
% 64.86/8.59 fof(f13223,plain,(
% 64.86/8.59 spl0_368 <=> c_Suc(c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Oone__class_Oone(tc_nat)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f13224,plain,(
% 64.86/8.59 c_Suc(c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Oone__class_Oone(tc_nat)|~spl0_368),
% 64.86/8.59 inference(component_clause,[status(thm)],[f13223])).
% 64.86/8.59 fof(f13226,plain,(
% 64.86/8.59 spl0_369 <=> c_Suc(c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.59 fof(f13227,plain,(
% 64.86/8.59 c_Suc(c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_369),
% 64.86/8.59 inference(component_clause,[status(thm)],[f13226])).
% 64.86/8.59 fof(f13309,plain,(
% 64.86/8.59 $false|~spl0_97),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f4287,f1860])).
% 64.86/8.59 fof(f13310,plain,(
% 64.86/8.59 ~spl0_97),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f13309])).
% 64.86/8.59 fof(f14340,plain,(
% 64.86/8.59 ![X0,X1]: (hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|~spl0_316)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f1494,f10048])).
% 64.86/8.59 fof(f14341,plain,(
% 64.86/8.59 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|~spl0_316)),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f14340,f1652])).
% 64.86/8.59 fof(f14344,plain,(
% 64.86/8.59 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|~spl0_190)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f5366,f6568])).
% 64.86/8.59 fof(f14345,plain,(
% 64.86/8.59 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|~spl0_190)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f5366,f14344])).
% 64.86/8.59 fof(f14346,plain,(
% 64.86/8.59 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)))|~spl0_186)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f4585,f6530])).
% 64.86/8.59 fof(f14347,plain,(
% 64.86/8.59 ![X0,X1]: (~hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))|~spl0_186)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f4585,f14346])).
% 64.86/8.59 fof(f14355,plain,(
% 64.86/8.59 $false|~spl0_369),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f13227,f1491])).
% 64.86/8.59 fof(f14356,plain,(
% 64.86/8.59 ~spl0_369),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f14355])).
% 64.86/8.59 fof(f14357,plain,(
% 64.86/8.59 $false|~spl0_368),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f13224,f1275])).
% 64.86/8.59 fof(f14358,plain,(
% 64.86/8.59 ~spl0_368),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f14357])).
% 64.86/8.59 fof(f14359,plain,(
% 64.86/8.59 ![X0,X1]: (hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))|~spl0_161)),
% 64.86/8.59 inference(forward_demodulation,[status(thm)],[f5366,f5310])).
% 64.86/8.59 fof(f14361,plain,(
% 64.86/8.59 $false|~spl0_307),
% 64.86/8.59 inference(forward_subsumption_resolution,[status(thm)],[f9974,f1735])).
% 64.86/8.59 fof(f14362,plain,(
% 64.86/8.59 ~spl0_307),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f14361])).
% 64.86/8.59 fof(f14583,plain,(
% 64.86/8.59 $false|~spl0_161),
% 64.86/8.59 inference(backward_subsumption_resolution,[status(thm)],[f6919,f14359])).
% 64.86/8.59 fof(f14584,plain,(
% 64.86/8.59 ~spl0_161),
% 64.86/8.59 inference(contradiction_clause,[status(thm)],[f14583])).
% 64.86/8.59 fof(f15426,plain,(
% 64.86/8.59 spl0_425 <=> class_Ring__and__Field_Oordered__semidom(tc_nat)),
% 64.86/8.59 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f15428,plain,(
% 64.86/8.60 ~class_Ring__and__Field_Oordered__semidom(tc_nat)|spl0_425),
% 64.86/8.60 inference(component_clause,[status(thm)],[f15426])).
% 64.86/8.60 fof(f15432,plain,(
% 64.86/8.60 $false|spl0_425),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f15428,f2153])).
% 64.86/8.60 fof(f15433,plain,(
% 64.86/8.60 spl0_425),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f15432])).
% 64.86/8.60 fof(f15872,plain,(
% 64.86/8.60 spl0_436 <=> ~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f15873,plain,(
% 64.86/8.60 ![X0]: (~c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_436)),
% 64.86/8.60 inference(component_clause,[status(thm)],[f15872])).
% 64.86/8.60 fof(f16243,plain,(
% 64.86/8.60 $false|~spl0_316),
% 64.86/8.60 inference(backward_subsumption_resolution,[status(thm)],[f2032,f14341])).
% 64.86/8.60 fof(f16244,plain,(
% 64.86/8.60 ~spl0_316),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f16243])).
% 64.86/8.60 fof(f16258,plain,(
% 64.86/8.60 spl0_437 <=> ~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f16259,plain,(
% 64.86/8.60 ![X0]: (~c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_437)),
% 64.86/8.60 inference(component_clause,[status(thm)],[f16258])).
% 64.86/8.60 fof(f16632,plain,(
% 64.86/8.60 $false|~spl0_190),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f1217,f14345])).
% 64.86/8.60 fof(f16633,plain,(
% 64.86/8.60 ~spl0_190),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f16632])).
% 64.86/8.60 fof(f16644,plain,(
% 64.86/8.60 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(c_Suc(v_n))))),
% 64.86/8.60 inference(paramodulation,[status(thm)],[f1191,f6660])).
% 64.86/8.60 fof(f16645,plain,(
% 64.86/8.60 $false|~spl0_186),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f16644,f14347])).
% 64.86/8.60 fof(f16646,plain,(
% 64.86/8.60 ~spl0_186),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f16645])).
% 64.86/8.60 fof(f16926,plain,(
% 64.86/8.60 $false|~spl0_436),
% 64.86/8.60 inference(resolution,[status(thm)],[f15873,f5699])).
% 64.86/8.60 fof(f16927,plain,(
% 64.86/8.60 ~spl0_436),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f16926])).
% 64.86/8.60 fof(f18927,plain,(
% 64.86/8.60 spl0_467 <=> c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f18928,plain,(
% 64.86/8.60 c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_467),
% 64.86/8.60 inference(component_clause,[status(thm)],[f18927])).
% 64.86/8.60 fof(f19258,plain,(
% 64.86/8.60 $false|~spl0_467),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f18928,f1735])).
% 64.86/8.60 fof(f19259,plain,(
% 64.86/8.60 ~spl0_467),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f19258])).
% 64.86/8.60 fof(f19293,plain,(
% 64.86/8.60 $false|~spl0_437),
% 64.86/8.60 inference(resolution,[status(thm)],[f16259,f5699])).
% 64.86/8.60 fof(f19294,plain,(
% 64.86/8.60 ~spl0_437),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f19293])).
% 64.86/8.60 fof(f19335,plain,(
% 64.86/8.60 spl0_477 <=> hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f19337,plain,(
% 64.86/8.60 ~hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))|spl0_477),
% 64.86/8.60 inference(component_clause,[status(thm)],[f19335])).
% 64.86/8.60 fof(f19344,plain,(
% 64.86/8.60 spl0_478 <=> hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f19346,plain,(
% 64.86/8.60 ~hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))|spl0_478),
% 64.86/8.60 inference(component_clause,[status(thm)],[f19344])).
% 64.86/8.60 fof(f19355,plain,(
% 64.86/8.60 ~hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat)))|spl0_477),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f4585,f19337])).
% 64.86/8.60 fof(f19356,plain,(
% 64.86/8.60 $false|spl0_477),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f19355,f1920])).
% 64.86/8.60 fof(f19357,plain,(
% 64.86/8.60 spl0_477),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f19356])).
% 64.86/8.60 fof(f19358,plain,(
% 64.86/8.60 ~hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))|spl0_478),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f1493,f19346])).
% 64.86/8.60 fof(f19359,plain,(
% 64.86/8.60 $false|spl0_478),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f19358,f1661])).
% 64.86/8.60 fof(f19360,plain,(
% 64.86/8.60 spl0_478),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f19359])).
% 64.86/8.60 fof(f19366,plain,(
% 64.86/8.60 spl0_479 <=> c_Suc(c_Suc(v_n))=c_Suc(v_n)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f19367,plain,(
% 64.86/8.60 c_Suc(c_Suc(v_n))=c_Suc(v_n)|~spl0_479),
% 64.86/8.60 inference(component_clause,[status(thm)],[f19366])).
% 64.86/8.60 fof(f19377,plain,(
% 64.86/8.60 spl0_482 <=> hBOOL(hAPP(c_lessequals(c_Suc(v_n),tc_nat),c_Suc(v_n)))),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f19379,plain,(
% 64.86/8.60 ~hBOOL(hAPP(c_lessequals(c_Suc(v_n),tc_nat),c_Suc(v_n)))|spl0_482),
% 64.86/8.60 inference(component_clause,[status(thm)],[f19377])).
% 64.86/8.60 fof(f19386,plain,(
% 64.86/8.60 ~hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_n)))|spl0_482),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f1191,f19379])).
% 64.86/8.60 fof(f19387,plain,(
% 64.86/8.60 $false|spl0_482),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f19386,f1217])).
% 64.86/8.60 fof(f19388,plain,(
% 64.86/8.60 spl0_482),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f19387])).
% 64.86/8.60 fof(f19389,plain,(
% 64.86/8.60 $false|~spl0_479),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f19367,f1275])).
% 64.86/8.60 fof(f19390,plain,(
% 64.86/8.60 ~spl0_479),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f19389])).
% 64.86/8.60 fof(f20346,plain,(
% 64.86/8.60 spl0_515 <=> X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f20347,plain,(
% 64.86/8.60 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_515)),
% 64.86/8.60 inference(component_clause,[status(thm)],[f20346])).
% 64.86/8.60 fof(f20394,plain,(
% 64.86/8.60 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_515)),
% 64.86/8.60 inference(duplicate_literals_removal,[status(esa)],[f20347])).
% 64.86/8.60 fof(f20397,plain,(
% 64.86/8.60 $false|~spl0_515),
% 64.86/8.60 inference(resolution,[status(thm)],[f20394,f1275])).
% 64.86/8.60 fof(f20398,plain,(
% 64.86/8.60 ~spl0_515),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f20397])).
% 64.86/8.60 fof(f20534,plain,(
% 64.86/8.60 spl0_524 <=> c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f20535,plain,(
% 64.86/8.60 ![X0]: (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)|~spl0_524)),
% 64.86/8.60 inference(component_clause,[status(thm)],[f20534])).
% 64.86/8.60 fof(f21375,plain,(
% 64.86/8.60 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_524)),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f8181,f20535])).
% 64.86/8.60 fof(f21376,plain,(
% 64.86/8.60 $false|~spl0_524),
% 64.86/8.60 inference(backward_subsumption_resolution,[status(thm)],[f1735,f21375])).
% 64.86/8.60 fof(f21377,plain,(
% 64.86/8.60 ~spl0_524),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f21376])).
% 64.86/8.60 fof(f21757,plain,(
% 64.86/8.60 $false|~spl0_0),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f2289,f1491])).
% 64.86/8.60 fof(f21758,plain,(
% 64.86/8.60 ~spl0_0),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f21757])).
% 64.86/8.60 fof(f23335,plain,(
% 64.86/8.60 spl0_612 <=> ~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f23336,plain,(
% 64.86/8.60 ![X0]: (~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex)|~spl0_612)),
% 64.86/8.60 inference(component_clause,[status(thm)],[f23335])).
% 64.86/8.60 fof(f25834,plain,(
% 64.86/8.60 $false|~spl0_612),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f23336,f5699])).
% 64.86/8.60 fof(f25835,plain,(
% 64.86/8.60 ~spl0_612),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f25834])).
% 64.86/8.60 fof(f27141,plain,(
% 64.86/8.60 ![X0,X1]: (c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(X1,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|X0=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f2030,f4100])).
% 64.86/8.60 fof(f27142,plain,(
% 64.86/8.60 hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
% 64.86/8.60 inference(resolution,[status(thm)],[f27141,f8333])).
% 64.86/8.60 fof(f27170,plain,(
% 64.86/8.60 spl0_728 <=> c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f27172,plain,(
% 64.86/8.60 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)|spl0_728),
% 64.86/8.60 inference(component_clause,[status(thm)],[f27170])).
% 64.86/8.60 fof(f27204,plain,(
% 64.86/8.60 $false|spl0_728),
% 64.86/8.60 inference(trivial_equality_resolution,[status(esa)],[f27172])).
% 64.86/8.60 fof(f27205,plain,(
% 64.86/8.60 spl0_728),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f27204])).
% 64.86/8.60 fof(f28244,plain,(
% 64.86/8.60 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.60 inference(backward_demodulation,[status(thm)],[f27142,f8333])).
% 64.86/8.60 fof(f28245,plain,(
% 64.86/8.60 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f27142,f28244])).
% 64.86/8.60 fof(f28246,plain,(
% 64.86/8.60 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f27142,f28245])).
% 64.86/8.60 fof(f28247,plain,(
% 64.86/8.60 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_75|~spl0_9),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f5537,f28246])).
% 64.86/8.60 fof(f28248,plain,(
% 64.86/8.60 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_75|~spl0_9),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f4796,f28247])).
% 64.86/8.60 fof(f28249,plain,(
% 64.86/8.60 ~c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_75|~spl0_9),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f2546,f28248])).
% 64.86/8.60 fof(f28263,plain,(
% 64.86/8.60 spl0_737 <=> c_FFT__Mirabelle_Oroot(v_n)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f28264,plain,(
% 64.86/8.60 c_FFT__Mirabelle_Oroot(v_n)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_737),
% 64.86/8.60 inference(component_clause,[status(thm)],[f28263])).
% 64.86/8.60 fof(f28519,plain,(
% 64.86/8.60 c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k)|~spl0_10),
% 64.86/8.60 inference(paramodulation,[status(thm)],[f27142,f12345])).
% 64.86/8.60 fof(f28520,plain,(
% 64.86/8.60 c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k)|~spl0_163|~spl0_10),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f5653,f28519])).
% 64.86/8.60 fof(f28521,plain,(
% 64.86/8.60 c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k)|~spl0_122|~spl0_163|~spl0_10),
% 64.86/8.60 inference(forward_demodulation,[status(thm)],[f4809,f28520])).
% 64.86/8.60 fof(f28537,plain,(
% 64.86/8.60 $false|~spl0_737),
% 64.86/8.60 inference(forward_subsumption_resolution,[status(thm)],[f28264,f1735])).
% 64.86/8.60 fof(f28538,plain,(
% 64.86/8.60 ~spl0_737),
% 64.86/8.60 inference(contradiction_clause,[status(thm)],[f28537])).
% 64.86/8.60 fof(f28548,plain,(
% 64.86/8.60 spl0_761 <=> c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 64.86/8.60 introduced(split_symbol_definition)).
% 64.86/8.60 fof(f28549,plain,(
% 64.86/8.60 c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_761),
% 65.24/8.66 inference(component_clause,[status(thm)],[f28548])).
% 65.24/8.66 fof(f28551,plain,(
% 65.24/8.66 c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n))|~hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k))|~spl0_122|~spl0_163|~spl0_10),
% 65.24/8.66 inference(paramodulation,[status(thm)],[f28521,f8190])).
% 65.24/8.66 fof(f28552,plain,(
% 65.24/8.66 spl0_761|~spl0_64|~spl0_171|~spl0_122|~spl0_163|~spl0_10),
% 65.24/8.66 inference(split_clause,[status(thm)],[f28551,f28548,f3355,f6370,f4808,f5652,f2562])).
% 65.24/8.66 fof(f28782,plain,(
% 65.24/8.66 $false|~spl0_75|~spl0_9|~spl0_761),
% 65.24/8.66 inference(forward_subsumption_resolution,[status(thm)],[f28549,f28249])).
% 65.24/8.66 fof(f28783,plain,(
% 65.24/8.66 ~spl0_75|~spl0_9|~spl0_761),
% 65.24/8.66 inference(contradiction_clause,[status(thm)],[f28782])).
% 65.24/8.66 fof(f28784,plain,(
% 65.24/8.66 $false),
% 65.24/8.66 inference(sat_refutation,[status(thm)],[f2556,f2561,f2566,f2652,f3342,f3359,f3375,f3552,f4795,f4812,f4865,f5347,f6425,f6427,f6429,f6779,f6817,f6872,f6874,f6895,f6983,f7234,f7334,f8209,f8211,f8275,f8394,f11552,f11554,f11556,f11672,f13310,f14356,f14358,f14362,f14584,f15433,f16244,f16633,f16646,f16927,f19259,f19294,f19357,f19360,f19388,f19390,f20398,f21377,f21758,f25835,f27205,f28538,f28552,f28783])).
% 65.24/8.66 % SZS output end CNFRefutation for theBenchmark.p
% 65.42/8.71 % Elapsed time: 8.337883 seconds
% 65.42/8.71 % CPU time: 65.313171 seconds
% 65.42/8.71 % Memory used: 505.516 MB
%------------------------------------------------------------------------------