TSTP Solution File: SWV628-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV628-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:55:02 EDT 2023
% Result : Unsatisfiable 593.57s 75.67s
% Output : CNFRefutation 593.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of clauses : 73 ( 46 unt; 6 nHn; 24 RR)
% Number of literals : 106 ( 61 equ; 31 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 101 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_inverse__eq__1__iff_1,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_inverse__eq__1__iff_1) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
cnf(cls_divide__inverse_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_divide__inverse_0) ).
cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_class__semiring_Osemiring__rules_I12_J_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_dvd__1__iff__1_0,axiom,
( X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_dvd__1__iff__1_0) ).
cnf(cls_one__dvd_0,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_one__dvd_0) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_class__semiring_Opwr__Suc_0,axiom,
( c_Power_Opower__class_Opower(X2,c_Suc(X3),X1) = c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_class__semiring_Opwr__Suc_0) ).
cnf(cls_class__semiring_Opwr__0_0,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_class__semiring_Opwr__0_0) ).
cnf(cls_mult__Suc__right_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_mult__Suc__right_0) ).
cnf(cls_mult__is__0_2,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_mult__is__0_2) ).
cnf(cls_natgb_Oadd__r0__iff_1,axiom,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_natgb_Oadd__r0__iff_1) ).
cnf(cls_less__add__Suc2_0,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_less__add__Suc2_0) ).
cnf(cls_add__Suc__right_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_add__Suc__right_0) ).
cnf(cls_add__Suc__shift_0,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_add__Suc__shift_0) ).
cnf(cls_plus__nat_Oadd__0_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_plus__nat_Oadd__0_0) ).
cnf(cls_root__cancel_0,axiom,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X2),X3,tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_root__cancel_0) ).
cnf(cls_less__diff__conv_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_less__diff__conv_1) ).
cnf(cls_diff__add__inverse_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_diff__add__inverse_0) ).
cnf(cls_eq__divide__imp_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_eq__divide__imp_0) ).
cnf(cls_right__inverse__eq_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_right__inverse__eq_1) ).
cnf(cls_root__nonzero_0,axiom,
c_FFT__Mirabelle_Oroot(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_root__nonzero_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p',cls_conjecture_0) ).
cnf(c_0_25,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_inverse__eq__1__iff_1 ).
cnf(c_0_26,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ofield ).
cnf(c_0_27,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero ).
cnf(c_0_28,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__inverse_0 ).
cnf(c_0_29,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_30,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I12_J_0 ).
cnf(c_0_31,plain,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]) ).
cnf(c_0_32,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_33,axiom,
( X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
cls_dvd__1__iff__1_0 ).
cnf(c_0_34,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_one__dvd_0 ).
cnf(c_0_35,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_36,plain,
c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_37,axiom,
( c_Power_Opower__class_Opower(X2,c_Suc(X3),X1) = c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Opwr__Suc_0 ).
cnf(c_0_38,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Opwr__0_0 ).
cnf(c_0_39,plain,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_40,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
cls_mult__Suc__right_0 ).
cnf(c_0_41,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_mult__is__0_2 ).
cnf(c_0_42,axiom,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_natgb_Oadd__r0__iff_1 ).
cnf(c_0_43,plain,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_36]) ).
cnf(c_0_44,plain,
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_45,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
cls_less__add__Suc2_0 ).
cnf(c_0_46,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
cls_add__Suc__right_0 ).
cnf(c_0_47,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),
cls_add__Suc__shift_0 ).
cnf(c_0_48,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
cls_plus__nat_Oadd__0_0 ).
cnf(c_0_49,axiom,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X2),X3,tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_root__cancel_0 ).
cnf(c_0_50,plain,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_39]) ).
cnf(c_0_51,plain,
c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_32])]) ).
cnf(c_0_52,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) = c_Suc(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_39]),c_0_48]) ).
cnf(c_0_54,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Suc(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_47]),c_0_39]) ).
cnf(c_0_55,plain,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X1,tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_56,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
cls_less__diff__conv_1 ).
cnf(c_0_57,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
cls_diff__add__inverse_0 ).
cnf(c_0_59,plain,
c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat) = c_Suc(c_Suc(X1)),
inference(spm,[status(thm)],[c_0_47,c_0_54]) ).
cnf(c_0_60,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_eq__divide__imp_0 ).
cnf(c_0_61,plain,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_55,c_0_41]) ).
cnf(c_0_62,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_Suc(X2)),tc_nat),X2,tc_nat),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_46]),c_0_46]) ).
cnf(c_0_63,plain,
c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X1)),X1,tc_nat) = c_Suc(c_HOL_Oone__class_Oone(tc_nat)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
c_HOL_Otimes__class_Otimes(X1,X1,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X1,c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_51]),c_0_32])]) ).
cnf(c_0_65,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_right__inverse__eq_1 ).
cnf(c_0_66,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X1
| X2 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_60,c_0_26]) ).
cnf(c_0_67,plain,
c_HOL_Otimes__class_Otimes(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_48]),c_0_63]),c_0_64]) ).
cnf(c_0_68,axiom,
c_FFT__Mirabelle_Oroot(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
cls_root__nonzero_0 ).
cnf(c_0_69,plain,
( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_65,c_0_26]) ).
cnf(c_0_70,plain,
c_HOL_Oinverse__class_Odivide(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_71,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
cls_conjecture_0 ).
cnf(c_0_72,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.24 % Problem : SWV628-1 : TPTP v8.1.2. Released v4.1.0.
% 0.24/0.25 % Command : run_E %s %d THM
% 0.24/0.46 % Computer : n011.cluster.edu
% 0.24/0.46 % Model : x86_64 x86_64
% 0.24/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.46 % Memory : 8042.1875MB
% 0.24/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.24/0.46 % CPULimit : 2400
% 0.24/0.46 % WCLimit : 300
% 0.24/0.46 % DateTime : Tue Oct 3 04:23:38 EDT 2023
% 0.24/0.46 % CPUTime :
% 0.41/0.70 Running first-order theorem proving
% 0.41/0.70 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.hkTw9Ad0km/E---3.1_9601.p
% 593.57/75.67 # Version: 3.1pre001
% 593.57/75.67 # Preprocessing class: FMLMSMSSSSSNFFN.
% 593.57/75.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 593.57/75.67 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 593.57/75.67 # Starting new_bool_3 with 300s (1) cores
% 593.57/75.67 # Starting new_bool_1 with 300s (1) cores
% 593.57/75.67 # Starting sh5l with 300s (1) cores
% 593.57/75.67 # new_bool_3 with pid 9680 completed with status 0
% 593.57/75.67 # Result found by new_bool_3
% 593.57/75.67 # Preprocessing class: FMLMSMSSSSSNFFN.
% 593.57/75.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 593.57/75.67 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 593.57/75.67 # Starting new_bool_3 with 300s (1) cores
% 593.57/75.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 593.57/75.67 # Search class: FGHSM-FSLM32-MFFFFFNN
% 593.57/75.67 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 593.57/75.67 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 593.57/75.67 # G-E--_303_C18_F1_URBAN_S0Y with pid 9684 completed with status 7
% 593.57/75.67 # Starting new_bool_3 with 31s (1) cores
% 593.57/75.67 # new_bool_3 with pid 9699 completed with status 7
% 593.57/75.67 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 593.57/75.67 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 9705 completed with status 0
% 593.57/75.67 # Result found by U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
% 593.57/75.67 # Preprocessing class: FMLMSMSSSSSNFFN.
% 593.57/75.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 593.57/75.67 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 593.57/75.67 # Starting new_bool_3 with 300s (1) cores
% 593.57/75.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 593.57/75.67 # Search class: FGHSM-FSLM32-MFFFFFNN
% 593.57/75.67 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 593.57/75.67 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 593.57/75.67 # G-E--_303_C18_F1_URBAN_S0Y with pid 9684 completed with status 7
% 593.57/75.67 # Starting new_bool_3 with 31s (1) cores
% 593.57/75.67 # new_bool_3 with pid 9699 completed with status 7
% 593.57/75.67 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 593.57/75.67 # Preprocessing time : 0.010 s
% 593.57/75.67 # Presaturation interreduction done
% 593.57/75.67
% 593.57/75.67 # Proof found!
% 593.57/75.67 # SZS status Unsatisfiable
% 593.57/75.67 # SZS output start CNFRefutation
% See solution above
% 593.57/75.67 # Parsed axioms : 1573
% 593.57/75.67 # Removed by relevancy pruning/SinE : 817
% 593.57/75.67 # Initial clauses : 756
% 593.57/75.67 # Removed in clause preprocessing : 0
% 593.57/75.67 # Initial clauses in saturation : 756
% 593.57/75.67 # Processed clauses : 61117
% 593.57/75.67 # ...of these trivial : 557
% 593.57/75.67 # ...subsumed : 54743
% 593.57/75.67 # ...remaining for further processing : 5817
% 593.57/75.67 # Other redundant clauses eliminated : 11225
% 593.57/75.67 # Clauses deleted for lack of memory : 0
% 593.57/75.67 # Backward-subsumed : 391
% 593.57/75.67 # Backward-rewritten : 85
% 593.57/75.67 # Generated clauses : 915550
% 593.57/75.67 # ...of the previous two non-redundant : 802971
% 593.57/75.67 # ...aggressively subsumed : 0
% 593.57/75.67 # Contextual simplify-reflections : 49
% 593.57/75.67 # Paramodulations : 904240
% 593.57/75.67 # Factorizations : 16
% 593.57/75.67 # NegExts : 0
% 593.57/75.67 # Equation resolutions : 11294
% 593.57/75.67 # Total rewrite steps : 671614
% 593.57/75.67 # Propositional unsat checks : 1
% 593.57/75.67 # Propositional check models : 0
% 593.57/75.67 # Propositional check unsatisfiable : 0
% 593.57/75.67 # Propositional clauses : 0
% 593.57/75.67 # Propositional clauses after purity: 0
% 593.57/75.67 # Propositional unsat core size : 0
% 593.57/75.67 # Propositional preprocessing time : 0.000
% 593.57/75.67 # Propositional encoding time : 0.968
% 593.57/75.67 # Propositional solver time : 0.676
% 593.57/75.67 # Success case prop preproc time : 0.000
% 593.57/75.67 # Success case prop encoding time : 0.000
% 593.57/75.67 # Success case prop solver time : 0.000
% 593.57/75.67 # Current number of processed clauses : 4845
% 593.57/75.67 # Positive orientable unit clauses : 497
% 593.57/75.67 # Positive unorientable unit clauses: 32
% 593.57/75.67 # Negative unit clauses : 336
% 593.57/75.67 # Non-unit-clauses : 3980
% 593.57/75.67 # Current number of unprocessed clauses: 741845
% 593.57/75.67 # ...number of literals in the above : 2050174
% 593.57/75.67 # Current number of archived formulas : 0
% 593.57/75.67 # Current number of archived clauses : 972
% 593.57/75.67 # Clause-clause subsumption calls (NU) : 2121339
% 593.57/75.67 # Rec. Clause-clause subsumption calls : 1600512
% 593.57/75.67 # Non-unit clause-clause subsumptions : 22103
% 593.57/75.67 # Unit Clause-clause subsumption calls : 80505
% 593.57/75.67 # Rewrite failures with RHS unbound : 0
% 593.57/75.67 # BW rewrite match attempts : 2811
% 593.57/75.67 # BW rewrite match successes : 445
% 593.57/75.67 # Condensation attempts : 0
% 593.57/75.67 # Condensation successes : 0
% 593.57/75.67 # Termbank termtop insertions : 20236523
% 593.57/75.67
% 593.57/75.67 # -------------------------------------------------
% 593.57/75.67 # User time : 72.632 s
% 593.57/75.67 # System time : 1.287 s
% 593.57/75.67 # Total time : 73.919 s
% 593.57/75.67 # Maximum resident set size: 3788 pages
% 593.57/75.67
% 593.57/75.67 # -------------------------------------------------
% 593.57/75.67 # User time : 72.672 s
% 593.57/75.67 # System time : 1.290 s
% 593.57/75.67 # Total time : 73.962 s
% 593.57/75.67 # Maximum resident set size: 2792 pages
% 593.57/75.67 % E---3.1 exiting
% 593.57/75.67 % E---3.1 exiting
%------------------------------------------------------------------------------