TSTP Solution File: SWV628-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV628-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 57.21s 7.68s
% Output : CNFRefutation 57.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV628-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:39:05 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.40 % Drodi V3.5.1
% 57.21/7.68 % Refutation found
% 57.21/7.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 57.21/7.68 % SZS output start CNFRefutation for theBenchmark
% 57.21/7.68 fof(f25,axiom,(
% 57.21/7.68 (![T_a,V_y,V_n,V_p]: (( ~ class_OrderedGroup_Omonoid__mult(T_a)| c_Power_Opower__class_Opower(V_y,c_HOL_Ominus__class_Ominus(c_Suc(V_n),V_p,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_y,c_HOL_Ominus__class_Ominus(V_n,V_p,tc_nat),T_a),V_y,T_a)| ~ c_lessequals(V_p,V_n,tc_nat) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f28,axiom,(
% 57.21/7.68 (![T_a,V_x,V_y,V_z,V_w]: (( ~ class_Ring__and__Field_Ofield(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f53,axiom,(
% 57.21/7.68 (![T_a,V_a,V_b]: (( ~ class_Ring__and__Field_Ofield(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f60,axiom,(
% 57.21/7.68 (![T_a,V_x,V_r,V_c,V_d]: (( ~ class_Ring__and__Field_Oidom(T_a)| ~ class_Int_Onumber__ring(T_a)| c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)| V_c = V_d| V_r = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f111,axiom,(
% 57.21/7.68 (![T_a,V_x,V_y,V_q]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f190,axiom,(
% 57.21/7.68 (![T_a,V_c,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| V_c = c_HOL_Ozero__class_Ozero(T_a)| V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f589,axiom,(
% 57.21/7.68 (![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) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f773,axiom,(
% 57.21/7.68 (![V_x]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f1141,axiom,(
% 57.21/7.68 (![V_d,V_n,V_k]: (( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(V_d,V_n,tc_nat)),c_HOL_Otimes__class_Otimes(V_d,V_k,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_k,tc_Complex_Ocomplex)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_d,tc_nat) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f1153,axiom,(
% 57.21/7.68 (![T_a,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f1197,axiom,(
% 57.21/7.68 (![T_a,V_a]: (( ~ class_OrderedGroup_Omonoid__add(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f1337,axiom,(
% 57.21/7.68 (![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 ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f1340,axiom,(
% 57.21/7.68 (![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 ) ))),
% 57.21/7.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.68 fof(f1341,axiom,(
% 57.21/7.68 (![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 ) ))),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1360,axiom,(
% 57.21/7.69 (![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) ))),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1391,axiom,(
% 57.21/7.69 (![V_m]: (c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ))),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1411,axiom,(
% 57.21/7.69 (![V_n]: (c_FFT__Mirabelle_Oroot(V_n) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ))),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1415,axiom,(
% 57.21/7.69 (![T_a]: (( ~ class_Ring__and__Field_Oordered__semidom(T_a)| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ))),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1431,axiom,(
% 57.21/7.69 (![V_n]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_n,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ))),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1432,axiom,(
% 57.21/7.69 (![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) ) ))),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1434,negated_conjecture,(
% 57.21/7.69 c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1447,axiom,(
% 57.21/7.69 class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1460,axiom,(
% 57.21/7.69 class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1540,axiom,(
% 57.21/7.69 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1541,axiom,(
% 57.21/7.69 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1551,axiom,(
% 57.21/7.69 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1558,axiom,(
% 57.21/7.69 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1560,axiom,(
% 57.21/7.69 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1564,axiom,(
% 57.21/7.69 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1566,axiom,(
% 57.21/7.69 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1570,axiom,(
% 57.21/7.69 class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 57.21/7.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.21/7.69 fof(f1616,plain,(
% 57.21/7.69 ![V_n,V_p]: ((![T_a]: (~class_OrderedGroup_Omonoid__mult(T_a)|(![V_y]: c_Power_Opower__class_Opower(V_y,c_HOL_Ominus__class_Ominus(c_Suc(V_n),V_p,tc_nat),T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_y,c_HOL_Ominus__class_Ominus(V_n,V_p,tc_nat),T_a),V_y,T_a))))|~c_lessequals(V_p,V_n,tc_nat))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f25])).
% 57.21/7.69 fof(f1617,plain,(
% 57.21/7.69 ![X0,X1,X2,X3]: (~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_Suc(X2),X3,tc_nat),X0)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0),X1,X0)|~c_lessequals(X3,X2,tc_nat))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1616])).
% 57.21/7.69 fof(f1622,plain,(
% 57.21/7.69 ![T_a]: ((~class_Ring__and__Field_Ofield(T_a)|~class_Ring__and__Field_Odivision__by__zero(T_a))|(![V_x,V_y,V_z,V_w]: c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a)))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f28])).
% 57.21/7.69 fof(f1623,plain,(
% 57.21/7.69 ![X0,X1,X2,X3,X4]: (~class_Ring__and__Field_Ofield(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1622])).
% 57.21/7.69 fof(f1667,plain,(
% 57.21/7.69 ![T_a]: ((~class_Ring__and__Field_Ofield(T_a)|~class_Ring__and__Field_Odivision__by__zero(T_a))|(![V_a,V_b]: c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a)))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f53])).
% 57.21/7.69 fof(f1668,plain,(
% 57.21/7.69 ![X0,X1,X2]: (~class_Ring__and__Field_Ofield(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)=c_HOL_Oinverse__class_Odivide(X2,X1,X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1667])).
% 57.21/7.69 fof(f1681,plain,(
% 57.21/7.69 ![T_a,V_r]: ((![V_c,V_d]: (((~class_Ring__and__Field_Oidom(T_a)|~class_Int_Onumber__ring(T_a))|(![V_x]: ~c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)))|V_c=V_d))|V_r=c_HOL_Ozero__class_Ozero(T_a))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f60])).
% 57.21/7.69 fof(f1682,plain,(
% 57.21/7.69 ![X0,X1,X2,X3,X4]: (~class_Ring__and__Field_Oidom(X0)|~class_Int_Onumber__ring(X0)|~c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)|X3=X4|X2=c_HOL_Ozero__class_Ozero(X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1681])).
% 57.21/7.69 fof(f1759,plain,(
% 57.21/7.69 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_x,V_y,V_q]: c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a)))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f111])).
% 57.21/7.69 fof(f1760,plain,(
% 57.21/7.69 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1759])).
% 57.21/7.69 fof(f1885,plain,(
% 57.21/7.69 ![T_a,V_c]: ((~class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a))|(![V_a]: V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f190])).
% 57.21/7.69 fof(f1886,plain,(
% 57.21/7.69 ![X0,X1,X2]: (~class_Ring__and__Field_Ofield(X0)|X1=c_HOL_Ozero__class_Ozero(X0)|X2=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1885])).
% 57.21/7.69 fof(f2543,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)=c_HOL_Otimes__class_Otimes(X1,X0,tc_nat))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f589])).
% 57.21/7.69 fof(f2839,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f773])).
% 57.21/7.69 fof(f3418,plain,(
% 57.21/7.69 ![V_d]: ((![V_n,V_k]: c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(V_d,V_n,tc_nat)),c_HOL_Otimes__class_Otimes(V_d,V_k,tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_k,tc_Complex_Ocomplex))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_d,tc_nat))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f1141])).
% 57.21/7.69 fof(f3419,plain,(
% 57.21/7.69 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f3418])).
% 57.21/7.69 fof(f3436,plain,(
% 57.21/7.69 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_x]: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f1153])).
% 57.21/7.69 fof(f3437,plain,(
% 57.21/7.69 ![X0,X1]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f3436])).
% 57.21/7.69 fof(f3514,plain,(
% 57.21/7.69 ![T_a]: (~class_OrderedGroup_Omonoid__add(T_a)|(![V_a]: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f1197])).
% 57.21/7.69 fof(f3515,plain,(
% 57.21/7.69 ![X0,X1]: (~class_OrderedGroup_Omonoid__add(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0)=X1)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f3514])).
% 57.21/7.69 fof(f3728,plain,(
% 57.21/7.69 ![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))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f1337])).
% 57.21/7.69 fof(f3729,plain,(
% 57.21/7.69 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0)=X1)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f3728])).
% 57.21/7.69 fof(f3733,plain,(
% 57.21/7.69 ![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))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f1340])).
% 57.21/7.69 fof(f3734,plain,(
% 57.21/7.69 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0)=X1)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f3733])).
% 57.21/7.69 fof(f3735,plain,(
% 57.21/7.69 ![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))),
% 57.21/7.69 inference(miniscoping,[status(esa)],[f1341])).
% 57.21/7.69 fof(f3736,plain,(
% 57.21/7.69 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0)=X1)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f3735])).
% 57.21/7.69 fof(f3764,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1360])).
% 57.21/7.69 fof(f3802,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X0)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1391])).
% 57.21/7.69 fof(f3825,plain,(
% 57.21/7.69 ![X0]: (~c_FFT__Mirabelle_Oroot(X0)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1411])).
% 57.21/7.69 fof(f3830,plain,(
% 57.21/7.69 ![X0]: (~class_Ring__and__Field_Oordered__semidom(X0)|c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1415])).
% 57.21/7.69 fof(f3852,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1431])).
% 57.21/7.69 fof(f3853,plain,(
% 57.21/7.69 ![X0]: (~class_Ring__and__Field_Ozero__neq__one(X0)|~c_HOL_Ozero__class_Ozero(X0)=c_HOL_Oone__class_Oone(X0))),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1432])).
% 57.21/7.69 fof(f3855,plain,(
% 57.21/7.69 ~c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1434])).
% 57.21/7.69 fof(f3868,plain,(
% 57.21/7.69 class_Ring__and__Field_Oordered__semidom(tc_nat)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1447])).
% 57.21/7.69 fof(f3881,plain,(
% 57.21/7.69 class_OrderedGroup_Omonoid__mult(tc_nat)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1460])).
% 57.21/7.69 fof(f3961,plain,(
% 57.21/7.69 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1540])).
% 57.21/7.69 fof(f3962,plain,(
% 57.21/7.69 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1541])).
% 57.21/7.69 fof(f3972,plain,(
% 57.21/7.69 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1551])).
% 57.21/7.69 fof(f3979,plain,(
% 57.21/7.69 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1558])).
% 57.21/7.69 fof(f3981,plain,(
% 57.21/7.69 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1560])).
% 57.21/7.69 fof(f3985,plain,(
% 57.21/7.69 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1564])).
% 57.21/7.69 fof(f3987,plain,(
% 57.21/7.69 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1566])).
% 57.21/7.69 fof(f3991,plain,(
% 57.21/7.69 class_Int_Onumber__ring(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(cnf_transformation,[status(esa)],[f1570])).
% 57.21/7.69 fof(f4003,plain,(
% 57.21/7.69 spl0_0 <=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f4005,plain,(
% 57.21/7.69 ~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|spl0_0),
% 57.21/7.69 inference(component_clause,[status(thm)],[f4003])).
% 57.21/7.69 fof(f4016,plain,(
% 57.21/7.69 $false|spl0_0),
% 57.21/7.69 inference(forward_subsumption_resolution,[status(thm)],[f4005,f3961])).
% 57.21/7.69 fof(f4017,plain,(
% 57.21/7.69 spl0_0),
% 57.21/7.69 inference(contradiction_clause,[status(thm)],[f4016])).
% 57.21/7.69 fof(f4031,plain,(
% 57.21/7.69 spl0_5 <=> class_Ring__and__Field_Oordered__semidom(tc_nat)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f4033,plain,(
% 57.21/7.69 ~class_Ring__and__Field_Oordered__semidom(tc_nat)|spl0_5),
% 57.21/7.69 inference(component_clause,[status(thm)],[f4031])).
% 57.21/7.69 fof(f4039,plain,(
% 57.21/7.69 $false|spl0_5),
% 57.21/7.69 inference(forward_subsumption_resolution,[status(thm)],[f4033,f3868])).
% 57.21/7.69 fof(f4040,plain,(
% 57.21/7.69 spl0_5),
% 57.21/7.69 inference(contradiction_clause,[status(thm)],[f4039])).
% 57.21/7.69 fof(f4047,plain,(
% 57.21/7.69 spl0_7 <=> c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f4048,plain,(
% 57.21/7.69 ![X0,X1,X2,X3]: (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_7)),
% 57.21/7.69 inference(component_clause,[status(thm)],[f4047])).
% 57.21/7.69 fof(f4050,plain,(
% 57.21/7.69 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 57.21/7.69 inference(resolution,[status(thm)],[f1623,f3985])).
% 57.21/7.69 fof(f4051,plain,(
% 57.21/7.69 ~spl0_0|spl0_7),
% 57.21/7.69 inference(split_clause,[status(thm)],[f4050,f4003,f4047])).
% 57.21/7.69 fof(f4095,plain,(
% 57.21/7.69 ~c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
% 57.21/7.69 inference(resolution,[status(thm)],[f3853,f3972])).
% 57.21/7.69 fof(f5038,plain,(
% 57.21/7.69 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat)),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex))),
% 57.21/7.69 inference(resolution,[status(thm)],[f2839,f3419])).
% 57.21/7.69 fof(f5305,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=X0)),
% 57.21/7.69 inference(resolution,[status(thm)],[f3515,f3981])).
% 57.21/7.69 fof(f5730,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=X0)),
% 57.21/7.69 inference(resolution,[status(thm)],[f3729,f3985])).
% 57.21/7.69 fof(f5748,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=X0)),
% 57.21/7.69 inference(resolution,[status(thm)],[f3734,f3979])).
% 57.21/7.69 fof(f5750,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X0)),
% 57.21/7.69 inference(resolution,[status(thm)],[f3734,f3881])).
% 57.21/7.69 fof(f5784,plain,(
% 57.21/7.69 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)|~spl0_7)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5748,f4048])).
% 57.21/7.69 fof(f5785,plain,(
% 57.21/7.69 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)|~spl0_7)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f5730,f5784])).
% 57.21/7.69 fof(f5786,plain,(
% 57.21/7.69 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_7)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5748,f4048])).
% 57.21/7.69 fof(f5797,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat)),c_Suc(X0),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex))),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5750,f5038])).
% 57.21/7.69 fof(f5806,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=X0)),
% 57.21/7.69 inference(resolution,[status(thm)],[f3736,f3979])).
% 57.21/7.69 fof(f5857,plain,(
% 57.21/7.69 spl0_31 <=> c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f5858,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex)|~spl0_31)),
% 57.21/7.69 inference(component_clause,[status(thm)],[f5857])).
% 57.21/7.69 fof(f5860,plain,(
% 57.21/7.69 ![X0,X1]: (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex))),
% 57.21/7.69 inference(resolution,[status(thm)],[f1668,f3985])).
% 57.21/7.69 fof(f5861,plain,(
% 57.21/7.69 ~spl0_0|spl0_31),
% 57.21/7.69 inference(split_clause,[status(thm)],[f5860,f4003,f5857])).
% 57.21/7.69 fof(f5893,plain,(
% 57.21/7.69 ![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)|~spl0_31)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5730,f5858])).
% 57.21/7.69 fof(f5902,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_31)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5893,f5858])).
% 57.21/7.69 fof(f5903,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=X0|~spl0_31)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f5730,f5902])).
% 57.21/7.69 fof(f5976,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex)|~spl0_7)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5806,f5785])).
% 57.21/7.69 fof(f5977,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex)|~spl0_31|~spl0_7)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f5893,f5976])).
% 57.21/7.69 fof(f6034,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5903,f5977])).
% 57.21/7.69 fof(f6311,plain,(
% 57.21/7.69 ![X0,X1,X2]: (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_31|~spl0_7)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f5893,f5786])).
% 57.21/7.69 fof(f6326,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_31|~spl0_7)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5730,f6311])).
% 57.21/7.69 fof(f6327,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex)|~spl0_31|~spl0_7)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f5806,f6326])).
% 57.21/7.69 fof(f6741,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5903,f6327])).
% 57.21/7.69 fof(f6742,plain,(
% 57.21/7.69 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex)|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f6034,f6741])).
% 57.21/7.69 fof(f8743,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,c_Suc(X1),tc_nat)),c_Suc(X1),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex))),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f2543,f5797])).
% 57.21/7.69 fof(f8873,plain,(
% 57.21/7.69 spl0_68 <=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f8875,plain,(
% 57.21/7.69 ~class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)|spl0_68),
% 57.21/7.69 inference(component_clause,[status(thm)],[f8873])).
% 57.21/7.69 fof(f8876,plain,(
% 57.21/7.69 spl0_69 <=> ~c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f8877,plain,(
% 57.21/7.69 ![X0,X1,X2,X3]: (~c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69)),
% 57.21/7.69 inference(component_clause,[status(thm)],[f8876])).
% 57.21/7.69 fof(f8879,plain,(
% 57.21/7.69 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)|~c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 57.21/7.69 inference(resolution,[status(thm)],[f1682,f3991])).
% 57.21/7.69 fof(f8880,plain,(
% 57.21/7.69 ~spl0_68|spl0_69),
% 57.21/7.69 inference(split_clause,[status(thm)],[f8879,f8873,f8876])).
% 57.21/7.69 fof(f8891,plain,(
% 57.21/7.69 $false|spl0_68),
% 57.21/7.69 inference(forward_subsumption_resolution,[status(thm)],[f8875,f3987])).
% 57.21/7.69 fof(f8892,plain,(
% 57.21/7.69 spl0_68),
% 57.21/7.69 inference(contradiction_clause,[status(thm)],[f8891])).
% 57.21/7.69 fof(f9642,plain,(
% 57.21/7.69 ![X0,X1,X2]: (~c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex)=c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|X1=X2|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5305,f8877])).
% 57.21/7.69 fof(f9643,plain,(
% 57.21/7.69 ![X0,X1,X2]: (~c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex)|X1=X2|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f5305,f9642])).
% 57.21/7.69 fof(f10267,plain,(
% 57.21/7.69 ![X0,X1,X2]: (~c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex)|X0=X2|X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f6742,f9643])).
% 57.21/7.69 fof(f11329,plain,(
% 57.21/7.69 ![X0,X1]: (~c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex)=X1|X0=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)|X1=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5748,f10267])).
% 57.21/7.69 fof(f11453,plain,(
% 57.21/7.69 ![X0]: (~c_HOL_Otimes__class_Otimes(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Complex_Ocomplex)=X0|X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(resolution,[status(thm)],[f11329,f3855])).
% 57.21/7.69 fof(f11773,plain,(
% 57.21/7.69 spl0_116 <=> ~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0),X1,X0)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f11774,plain,(
% 57.21/7.69 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0),X1,X0)|~spl0_116)),
% 57.21/7.69 inference(component_clause,[status(thm)],[f11773])).
% 57.21/7.69 fof(f11776,plain,(
% 57.21/7.69 ![X0,X1]: (~class_Ring__and__Field_Oordered__semidom(tc_nat)|~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0),X1,X0))),
% 57.21/7.69 inference(resolution,[status(thm)],[f3830,f1617])).
% 57.21/7.69 fof(f11777,plain,(
% 57.21/7.69 ~spl0_5|spl0_116),
% 57.21/7.69 inference(split_clause,[status(thm)],[f11776,f4031,f11773])).
% 57.21/7.69 fof(f11778,plain,(
% 57.21/7.69 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(X1,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X0)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0),X1,X0)|~spl0_116)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f3802,f11774])).
% 57.21/7.69 fof(f11779,plain,(
% 57.21/7.69 ![X0,X1]: (~class_OrderedGroup_Omonoid__mult(X0)|c_Power_Opower__class_Opower(X1,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X0)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0),X1,X0)|~spl0_116)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f3802,f11778])).
% 57.21/7.69 fof(f12778,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)|~spl0_116)),
% 57.21/7.69 inference(resolution,[status(thm)],[f11779,f3979])).
% 57.21/7.69 fof(f12779,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_7|~spl0_31|~spl0_116)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f6742,f12778])).
% 57.21/7.69 fof(f14593,plain,(
% 57.21/7.69 spl0_211 <=> c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f14595,plain,(
% 57.21/7.69 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex)|spl0_211),
% 57.21/7.69 inference(component_clause,[status(thm)],[f14593])).
% 57.21/7.69 fof(f14596,plain,(
% 57.21/7.69 spl0_212 <=> c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f14597,plain,(
% 57.21/7.69 c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_212),
% 57.21/7.69 inference(component_clause,[status(thm)],[f14596])).
% 57.21/7.69 fof(f14599,plain,(
% 57.21/7.69 ~c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex)|c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_69|~spl0_7|~spl0_31|~spl0_116),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f12779,f11453])).
% 57.21/7.69 fof(f14600,plain,(
% 57.21/7.69 ~spl0_211|spl0_212|~spl0_69|~spl0_7|~spl0_31|~spl0_116),
% 57.21/7.69 inference(split_clause,[status(thm)],[f14599,f14593,f14596,f8876,f4047,f5857,f11773])).
% 57.21/7.69 fof(f14660,plain,(
% 57.21/7.69 spl0_222 <=> c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f14661,plain,(
% 57.21/7.69 c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_222),
% 57.21/7.69 inference(component_clause,[status(thm)],[f14660])).
% 57.21/7.69 fof(f17729,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 57.21/7.69 inference(resolution,[status(thm)],[f3437,f3962])).
% 57.21/7.69 fof(f20951,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(X0),tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex))),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f3764,f8743])).
% 57.21/7.69 fof(f21494,plain,(
% 57.21/7.69 $false|spl0_211),
% 57.21/7.69 inference(backward_subsumption_resolution,[status(thm)],[f14595,f20951])).
% 57.21/7.69 fof(f21495,plain,(
% 57.21/7.69 spl0_211),
% 57.21/7.69 inference(contradiction_clause,[status(thm)],[f21494])).
% 57.21/7.69 fof(f21613,plain,(
% 57.21/7.69 ![X0,X1,X2]: (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 57.21/7.69 inference(resolution,[status(thm)],[f1760,f3962])).
% 57.21/7.69 fof(f21627,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(X0),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_212)),
% 57.21/7.69 inference(backward_demodulation,[status(thm)],[f14597,f20951])).
% 57.21/7.69 fof(f21765,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Complex_Ocomplex),c_Suc(X1),tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,c_Suc(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_212)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f21627,f21613])).
% 57.21/7.69 fof(f21766,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Complex_Ocomplex),c_Suc(X1),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_212)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f17729,f21765])).
% 57.21/7.69 fof(f24775,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_Complex_Ocomplex),c_Suc(X1),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_212|~spl0_31|~spl0_7)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f6327,f21766])).
% 57.21/7.69 fof(f32469,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_FFT__Mirabelle_Oroot(X1),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f3852,f21613])).
% 57.21/7.69 fof(f32470,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_FFT__Mirabelle_Oroot(X1),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f6742,f32469])).
% 57.21/7.69 fof(f37879,plain,(
% 57.21/7.69 ![X0,X1]: (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,c_FFT__Mirabelle_Oroot(X1),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex)|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f5806,f32470])).
% 57.21/7.69 fof(f37896,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5806,f37879])).
% 57.21/7.69 fof(f37897,plain,(
% 57.21/7.69 ![X0]: (c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex)|~spl0_7|~spl0_31)),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f3852,f37896])).
% 57.21/7.69 fof(f41031,plain,(
% 57.21/7.69 ![X0,X1]: (X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|X1=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex))),
% 57.21/7.69 inference(resolution,[status(thm)],[f1886,f3985])).
% 57.21/7.69 fof(f41526,plain,(
% 57.21/7.69 ![X0]: (X0=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex))),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f5806,f41031])).
% 57.21/7.69 fof(f41568,plain,(
% 57.21/7.69 $false|~spl0_222),
% 57.21/7.69 inference(forward_subsumption_resolution,[status(thm)],[f14661,f3825])).
% 57.21/7.69 fof(f41569,plain,(
% 57.21/7.69 ~spl0_222),
% 57.21/7.69 inference(contradiction_clause,[status(thm)],[f41568])).
% 57.21/7.69 fof(f41595,plain,(
% 57.21/7.69 spl0_853 <=> c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Suc(X0),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
% 57.21/7.69 introduced(split_symbol_definition)).
% 57.21/7.69 fof(f41596,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Suc(X0),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_853)),
% 57.21/7.69 inference(component_clause,[status(thm)],[f41595])).
% 57.21/7.69 fof(f41598,plain,(
% 57.21/7.69 ![X0]: (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Suc(X0),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_212|~spl0_31|~spl0_7)),
% 57.21/7.69 inference(paramodulation,[status(thm)],[f41526,f24775])).
% 57.21/7.69 fof(f41599,plain,(
% 57.21/7.69 spl0_853|spl0_222|~spl0_212|~spl0_31|~spl0_7),
% 57.21/7.69 inference(split_clause,[status(thm)],[f41598,f41595,f14660,f14596,f5857,f4047])).
% 57.21/7.69 fof(f41630,plain,(
% 57.21/7.69 c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~spl0_7|~spl0_31|~spl0_853),
% 57.21/7.69 inference(forward_demodulation,[status(thm)],[f37897,f41596])).
% 57.21/7.69 fof(f41631,plain,(
% 57.21/7.69 $false|~spl0_7|~spl0_31|~spl0_853),
% 57.21/7.69 inference(forward_subsumption_resolution,[status(thm)],[f41630,f4095])).
% 57.21/7.69 fof(f41632,plain,(
% 57.21/7.69 ~spl0_7|~spl0_31|~spl0_853),
% 57.97/7.79 inference(contradiction_clause,[status(thm)],[f41631])).
% 57.97/7.79 fof(f41633,plain,(
% 57.97/7.79 $false),
% 57.97/7.79 inference(sat_refutation,[status(thm)],[f4017,f4040,f4051,f5861,f8880,f8892,f11777,f14600,f21495,f41569,f41599,f41632])).
% 57.97/7.79 % SZS output end CNFRefutation for theBenchmark.p
% 58.61/7.84 % Elapsed time: 7.505793 seconds
% 58.61/7.84 % CPU time: 58.135320 seconds
% 58.61/7.84 % Memory used: 643.573 MB
%------------------------------------------------------------------------------