TSTP Solution File: SWV628-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---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 : n028.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 20:07:33 EDT 2023
% Result : Unsatisfiable 535.34s 68.43s
% Output : CNFRefutation 535.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of clauses : 78 ( 44 unt; 7 nHn; 34 RR)
% Number of literals : 117 ( 65 equ; 40 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 102 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_class__semiring_Osemiring__rules_I12_J_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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_class__semiring_Opwr__0_0) ).
cnf(cls_mult__eq__1__iff_1,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_mult__eq__1__iff_1) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_class__semiring_Opwr__Suc_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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
cnf(cls_of__nat__0_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_of__nat__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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_root__cancel_0) ).
cnf(cls_gcd__diff2__nat_0,axiom,
( c_GCD_Ogcd__class_Ogcd(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat) = c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_gcd__diff2__nat_0) ).
cnf(cls_gcd__commute__nat_0,axiom,
c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat) = c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_gcd__commute__nat_0) ).
cnf(cls_Suc__diff__le_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_Suc__diff__le_0) ).
cnf(cls_diff__self__eq__0_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_diff__self__eq__0_0) ).
cnf(cls_eq__imp__le_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_eq__imp__le_0) ).
cnf(cls_Suc__n__not__le__n_0,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_Suc__n__not__le__n_0) ).
cnf(cls_nat__le__linear_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_nat__le__linear_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1,axiom,
class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1) ).
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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_mult__is__0_2) ).
cnf(cls_gcd__Suc__0_0,axiom,
c_GCD_Ogcd__class_Ogcd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_gcd__Suc__0_0) ).
cnf(cls_comm__monoid__add_Omult__1_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_comm__monoid__add_Omult__1_0) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
cnf(cls_gr0__conv__Suc_1,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_gr0__conv__Suc_1) ).
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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_eq__divide__imp_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(cls_root__nonzero_0,axiom,
c_FFT__Mirabelle_Oroot(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_root__nonzero_0) ).
cnf(cls_of__nat__Suc_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X2),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_of__nat__Suc_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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_conjecture_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/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p',cls_right__inverse__eq_1) ).
cnf(c_0_28,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_29,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_30,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
cls_mult__eq__1__iff_1 ).
cnf(c_0_31,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_32,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_33,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_34,plain,
( c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X3),X3) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I6_J_0 ).
cnf(c_0_36,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
cls_of__nat__0_0 ).
cnf(c_0_37,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_38,plain,
c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_31])])]) ).
cnf(c_0_39,plain,
c_Power_Opower__class_Opower(X1,c_Suc(X2),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_41,axiom,
( c_GCD_Ogcd__class_Ogcd(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat) = c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_gcd__diff2__nat_0 ).
cnf(c_0_42,axiom,
c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat) = c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),
cls_gcd__commute__nat_0 ).
cnf(c_0_43,axiom,
( c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_Suc__diff__le_0 ).
cnf(c_0_44,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_diff__self__eq__0_0 ).
cnf(c_0_45,axiom,
c_lessequals(X1,X1,tc_nat),
cls_eq__imp__le_0 ).
cnf(c_0_46,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
cls_Suc__n__not__le__n_0 ).
cnf(c_0_47,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__linear_0 ).
cnf(c_0_48,plain,
( c_HOL_Oplus__class_Oplus(X1,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X2),X2) = X1
| ~ class_Ring__and__Field_Osemiring__1(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_49,axiom,
class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1 ).
cnf(c_0_50,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_31])]),c_0_38]),c_0_39]),c_0_40]) ).
cnf(c_0_51,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_52,plain,
( c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_53,plain,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_54,axiom,
c_GCD_Ogcd__class_Ogcd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
cls_gcd__Suc__0_0 ).
cnf(c_0_55,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__1_0 ).
cnf(c_0_57,plain,
c_HOL_Oplus__class_Oplus(X1,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_33])]) ).
cnf(c_0_58,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add ).
cnf(c_0_59,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_50,c_0_51]) ).
cnf(c_0_60,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
cls_gr0__conv__Suc_1 ).
cnf(c_0_61,plain,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_GCD_Ogcd__class_Ogcd(X1,c_Suc(X1),tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_62,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_63,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ofield ).
cnf(c_0_64,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_65,plain,
c_HOL_Otimes__class_Otimes(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_59]),c_0_60])]) ).
cnf(c_0_66,plain,
c_Power_Opower__class_Opower(X1,c_GCD_Ogcd__class_Ogcd(X2,c_Suc(X2),tc_nat),tc_Complex_Ocomplex) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_61]),c_0_40]) ).
cnf(c_0_67,axiom,
c_FFT__Mirabelle_Oroot(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
cls_root__nonzero_0 ).
cnf(c_0_68,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X2),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
cls_of__nat__Suc_0 ).
cnf(c_0_69,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X1
| X2 = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_70,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(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
c_FFT__Mirabelle_Oroot(X1) != c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_67,c_0_64]) ).
cnf(c_0_72,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_73,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_57]),c_0_49])]) ).
cnf(c_0_74,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_75,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_69,c_0_70]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Ozero__class_Ozero(tc_nat)) != c_Nat_Osemiring__1__class_Oof__nat(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_73]),c_0_64]),c_0_63])]),c_0_76]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV628-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Oct 3 04:38:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.48/0.65 Running first-order model finding
% 0.48/0.65 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.cIXSFOieFK/E---3.1_29506.p
% 535.34/68.43 # Version: 3.1pre001
% 535.34/68.43 # Preprocessing class: FMLMSMSSSSSNFFN.
% 535.34/68.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 535.34/68.43 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 535.34/68.43 # Starting new_bool_3 with 300s (1) cores
% 535.34/68.43 # Starting new_bool_1 with 300s (1) cores
% 535.34/68.43 # Starting sh5l with 300s (1) cores
% 535.34/68.43 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 29661 completed with status 0
% 535.34/68.43 # Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 535.34/68.43 # Preprocessing class: FMLMSMSSSSSNFFN.
% 535.34/68.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 535.34/68.43 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 535.34/68.43 # SinE strategy is gf600_h_gu_R05_F100_L20000
% 535.34/68.43 # Search class: FGHSM-SMLM32-MFFFFFNN
% 535.34/68.43 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 535.34/68.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 535.34/68.43 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 535.34/68.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 113s (1) cores
% 535.34/68.43 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 535.34/68.43 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 113s (1) cores
% 535.34/68.43 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 29671 completed with status 0
% 535.34/68.43 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 535.34/68.43 # Preprocessing class: FMLMSMSSSSSNFFN.
% 535.34/68.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 535.34/68.43 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 535.34/68.43 # SinE strategy is gf600_h_gu_R05_F100_L20000
% 535.34/68.43 # Search class: FGHSM-SMLM32-MFFFFFNN
% 535.34/68.43 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 535.34/68.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 535.34/68.43 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 535.34/68.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 113s (1) cores
% 535.34/68.43 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 535.34/68.43 # Preprocessing time : 0.021 s
% 535.34/68.43 # Presaturation interreduction done
% 535.34/68.43
% 535.34/68.43 # Proof found!
% 535.34/68.43 # SZS status Unsatisfiable
% 535.34/68.43 # SZS output start CNFRefutation
% See solution above
% 535.34/68.43 # Parsed axioms : 1573
% 535.34/68.43 # Removed by relevancy pruning/SinE : 170
% 535.34/68.43 # Initial clauses : 1403
% 535.34/68.43 # Removed in clause preprocessing : 0
% 535.34/68.43 # Initial clauses in saturation : 1403
% 535.34/68.43 # Processed clauses : 87707
% 535.34/68.43 # ...of these trivial : 2742
% 535.34/68.43 # ...subsumed : 74756
% 535.34/68.43 # ...remaining for further processing : 10209
% 535.34/68.43 # Other redundant clauses eliminated : 99446
% 535.34/68.43 # Clauses deleted for lack of memory : 84915
% 535.34/68.43 # Backward-subsumed : 205
% 535.34/68.43 # Backward-rewritten : 191
% 535.34/68.43 # Generated clauses : 4042001
% 535.34/68.43 # ...of the previous two non-redundant : 3477834
% 535.34/68.43 # ...aggressively subsumed : 0
% 535.34/68.43 # Contextual simplify-reflections : 50
% 535.34/68.43 # Paramodulations : 3942308
% 535.34/68.43 # Factorizations : 103
% 535.34/68.43 # NegExts : 0
% 535.34/68.43 # Equation resolutions : 99581
% 535.34/68.43 # Total rewrite steps : 3009088
% 535.34/68.43 # Propositional unsat checks : 2
% 535.34/68.43 # Propositional check models : 0
% 535.34/68.43 # Propositional check unsatisfiable : 0
% 535.34/68.43 # Propositional clauses : 0
% 535.34/68.43 # Propositional clauses after purity: 0
% 535.34/68.43 # Propositional unsat core size : 0
% 535.34/68.43 # Propositional preprocessing time : 0.000
% 535.34/68.43 # Propositional encoding time : 5.054
% 535.34/68.43 # Propositional solver time : 1.712
% 535.34/68.43 # Success case prop preproc time : 0.000
% 535.34/68.43 # Success case prop encoding time : 0.000
% 535.34/68.43 # Success case prop solver time : 0.000
% 535.34/68.43 # Current number of processed clauses : 8784
% 535.34/68.43 # Positive orientable unit clauses : 924
% 535.34/68.43 # Positive unorientable unit clauses: 175
% 535.34/68.43 # Negative unit clauses : 382
% 535.34/68.43 # Non-unit-clauses : 7303
% 535.34/68.43 # Current number of unprocessed clauses: 2173056
% 535.34/68.43 # ...number of literals in the above : 6975199
% 535.34/68.43 # Current number of archived formulas : 0
% 535.34/68.43 # Current number of archived clauses : 1422
% 535.34/68.43 # Clause-clause subsumption calls (NU) : 6444972
% 535.34/68.43 # Rec. Clause-clause subsumption calls : 3768879
% 535.34/68.43 # Non-unit clause-clause subsumptions : 35988
% 535.34/68.43 # Unit Clause-clause subsumption calls : 344814
% 535.34/68.43 # Rewrite failures with RHS unbound : 1573
% 535.34/68.43 # BW rewrite match attempts : 7946
% 535.34/68.43 # BW rewrite match successes : 1108
% 535.34/68.43 # Condensation attempts : 0
% 535.34/68.43 # Condensation successes : 0
% 535.34/68.43 # Termbank termtop insertions : 91657792
% 535.34/68.43
% 535.34/68.43 # -------------------------------------------------
% 535.34/68.43 # User time : 64.705 s
% 535.34/68.43 # System time : 1.619 s
% 535.34/68.43 # Total time : 66.324 s
% 535.34/68.43 # Maximum resident set size: 4612 pages
% 535.34/68.43
% 535.34/68.43 # -------------------------------------------------
% 535.34/68.43 # User time : 324.661 s
% 535.34/68.43 # System time : 8.010 s
% 535.34/68.43 # Total time : 332.670 s
% 535.34/68.43 # Maximum resident set size: 2792 pages
% 535.34/68.43 % E---3.1 exiting
%------------------------------------------------------------------------------