TSTP Solution File: SWV716-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV716-1 : 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 19:55:10 EDT 2023
% Result : Unsatisfiable 117.20s 15.67s
% Output : CNFRefutation 117.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 12 RR)
% Number of literals : 23 ( 12 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.P9NglR7Bum/E---3.1_14467.p',cls_conjecture_2) ).
cnf(cls_numeral__2__eq__2_0,axiom,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/tmp/tmp.P9NglR7Bum/E---3.1_14467.p',cls_numeral__2__eq__2_0) ).
cnf(cls_Suc_Ohyps_0,axiom,
( c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X1,X2) = hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,X1),X2)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.P9NglR7Bum/E---3.1_14467.p',cls_Suc_Ohyps_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.P9NglR7Bum/E---3.1_14467.p',cls_conjecture_1) ).
cnf(cls_class__semiring_Opwr__0_0,axiom,
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.P9NglR7Bum/E---3.1_14467.p',cls_class__semiring_Opwr__0_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.P9NglR7Bum/E---3.1_14467.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(c_0_6,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),tc_Complex_Ocomplex),
cls_conjecture_2 ).
cnf(c_0_7,axiom,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),
cls_numeral__2__eq__2_0 ).
cnf(c_0_8,axiom,
( c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X1,X2) = hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,X1),X2)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat) ),
cls_Suc_Ohyps_0 ).
cnf(c_0_9,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),
cls_conjecture_1 ).
cnf(c_0_10,axiom,
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Opwr__0_0 ).
cnf(c_0_11,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_12,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_13,plain,
( c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),X1,X2) = hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,X1),X2)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_7]) ).
cnf(c_0_14,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_7]),c_0_7]) ).
cnf(c_0_15,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat))),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.28 % Problem : SWV716-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.29 % Command : run_E %s %d THM
% 0.29/0.49 % Computer : n028.cluster.edu
% 0.29/0.49 % Model : x86_64 x86_64
% 0.29/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.29/0.49 % Memory : 8042.1875MB
% 0.29/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.29/0.49 % CPULimit : 2400
% 0.29/0.49 % WCLimit : 300
% 0.29/0.49 % DateTime : Tue Oct 3 03:40:22 EDT 2023
% 0.29/0.49 % CPUTime :
% 0.46/0.78 Running first-order theorem proving
% 0.46/0.78 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.P9NglR7Bum/E---3.1_14467.p
% 117.20/15.67 # Version: 3.1pre001
% 117.20/15.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 117.20/15.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.20/15.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 117.20/15.67 # Starting new_bool_3 with 300s (1) cores
% 117.20/15.67 # Starting new_bool_1 with 300s (1) cores
% 117.20/15.67 # Starting sh5l with 300s (1) cores
% 117.20/15.67 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14559 completed with status 0
% 117.20/15.67 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 117.20/15.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 117.20/15.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.20/15.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 117.20/15.67 # No SInE strategy applied
% 117.20/15.67 # Search class: FGHSM-SMLM32-DFFFFFNN
% 117.20/15.67 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 117.20/15.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 117.20/15.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 117.20/15.67 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 117.20/15.67 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 117.20/15.67 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 117.20/15.67 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14572 completed with status 0
% 117.20/15.67 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 117.20/15.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 117.20/15.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.20/15.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 117.20/15.67 # No SInE strategy applied
% 117.20/15.67 # Search class: FGHSM-SMLM32-DFFFFFNN
% 117.20/15.67 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 117.20/15.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 117.20/15.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 117.20/15.67 # Preprocessing time : 0.023 s
% 117.20/15.67 # Presaturation interreduction done
% 117.20/15.67
% 117.20/15.67 # Proof found!
% 117.20/15.67 # SZS status Unsatisfiable
% 117.20/15.67 # SZS output start CNFRefutation
% See solution above
% 117.20/15.67 # Parsed axioms : 1575
% 117.20/15.67 # Removed by relevancy pruning/SinE : 0
% 117.20/15.67 # Initial clauses : 1575
% 117.20/15.67 # Removed in clause preprocessing : 1
% 117.20/15.67 # Initial clauses in saturation : 1574
% 117.20/15.67 # Processed clauses : 56194
% 117.20/15.67 # ...of these trivial : 905
% 117.20/15.67 # ...subsumed : 46827
% 117.20/15.67 # ...remaining for further processing : 8462
% 117.20/15.67 # Other redundant clauses eliminated : 3269
% 117.20/15.67 # Clauses deleted for lack of memory : 0
% 117.20/15.67 # Backward-subsumed : 349
% 117.20/15.67 # Backward-rewritten : 174
% 117.20/15.67 # Generated clauses : 844159
% 117.20/15.67 # ...of the previous two non-redundant : 771137
% 117.20/15.67 # ...aggressively subsumed : 0
% 117.20/15.67 # Contextual simplify-reflections : 92
% 117.20/15.67 # Paramodulations : 840789
% 117.20/15.67 # Factorizations : 20
% 117.20/15.67 # NegExts : 0
% 117.20/15.67 # Equation resolutions : 3350
% 117.20/15.67 # Total rewrite steps : 640042
% 117.20/15.67 # Propositional unsat checks : 1
% 117.20/15.67 # Propositional check models : 0
% 117.20/15.67 # Propositional check unsatisfiable : 0
% 117.20/15.67 # Propositional clauses : 0
% 117.20/15.67 # Propositional clauses after purity: 0
% 117.20/15.67 # Propositional unsat core size : 0
% 117.20/15.67 # Propositional preprocessing time : 0.000
% 117.20/15.67 # Propositional encoding time : 0.200
% 117.20/15.67 # Propositional solver time : 0.116
% 117.20/15.67 # Success case prop preproc time : 0.000
% 117.20/15.67 # Success case prop encoding time : 0.000
% 117.20/15.67 # Success case prop solver time : 0.000
% 117.20/15.67 # Current number of processed clauses : 6731
% 117.20/15.67 # Positive orientable unit clauses : 903
% 117.20/15.67 # Positive unorientable unit clauses: 47
% 117.20/15.67 # Negative unit clauses : 1167
% 117.20/15.67 # Non-unit-clauses : 4614
% 117.20/15.67 # Current number of unprocessed clauses: 716716
% 117.20/15.67 # ...number of literals in the above : 1850451
% 117.20/15.67 # Current number of archived formulas : 0
% 117.20/15.67 # Current number of archived clauses : 1732
% 117.20/15.67 # Clause-clause subsumption calls (NU) : 5597466
% 117.20/15.67 # Rec. Clause-clause subsumption calls : 1645969
% 117.20/15.67 # Non-unit clause-clause subsumptions : 14054
% 117.20/15.67 # Unit Clause-clause subsumption calls : 323187
% 117.20/15.67 # Rewrite failures with RHS unbound : 0
% 117.20/15.67 # BW rewrite match attempts : 11153
% 117.20/15.67 # BW rewrite match successes : 472
% 117.20/15.67 # Condensation attempts : 0
% 117.20/15.67 # Condensation successes : 0
% 117.20/15.67 # Termbank termtop insertions : 25393980
% 117.20/15.67
% 117.20/15.67 # -------------------------------------------------
% 117.20/15.67 # User time : 13.960 s
% 117.20/15.67 # System time : 0.451 s
% 117.20/15.67 # Total time : 14.410 s
% 117.20/15.67 # Maximum resident set size: 4580 pages
% 117.20/15.67
% 117.20/15.67 # -------------------------------------------------
% 117.20/15.67 # User time : 70.304 s
% 117.20/15.67 # System time : 2.224 s
% 117.20/15.67 # Total time : 72.528 s
% 117.20/15.67 # Maximum resident set size: 2820 pages
% 117.20/15.67 % E---3.1 exiting
% 117.20/15.67 % E---3.1 exiting
%------------------------------------------------------------------------------