TSTP Solution File: SWV716-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV716-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 : 600s
% DateTime : Wed Jul 20 21:35:47 EDT 2022
% Result : Unsatisfiable 45.55s 45.72s
% Output : Refutation 45.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 15 unt; 1 nHn; 13 RR)
% Number of literals : 25 ( 14 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-5 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_diff__def_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_HOL_Ominus__class_Ominus(Y,Z,X) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X),Y),c_HOL_Ouminus__class_Ouminus(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__def_0) ).
cnf(cls_mod__if_1,axiom,
( c_Divides_Odiv__class_Omod(X,Y,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X,Y,tc_nat),Y,tc_nat)
| c_HOL_Oord__class_Oless(X,Y,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__if_1) ).
cnf(cls_mod__if_0,axiom,
( c_Divides_Odiv__class_Omod(X,Y,tc_nat) = X
| ~ c_HOL_Oord__class_Oless(X,Y,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__if_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____),X,Y) = hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,X),Y)
| ~ c_HOL_Oord__class_Oless(Y,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/sandbox/benchmark/theBenchmark.p',cls_Suc_Ohyps_0) ).
cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X),Y),hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),Z)) = hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),hAPP(c_Suc,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I27_J_0) ).
cnf(cls_False_0,axiom,
~ c_HOL_Oord__class_Oless(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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_False_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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
cnf(2322,plain,
c_HOL_Ominus__class_Ominus(X,Y,tc_Complex_Ocomplex) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X),c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[cls_diff__def_0,clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]) ).
cnf(2343,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),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))),c_HOL_Ouminus__class_Ouminus(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)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),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))),c_HOL_Ouminus__class_Ouminus(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)),
inference('REWRITE',[status(thm)],[cls_conjecture_2,2322,theory(equality)]) ).
cnf(2472,plain,
c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(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),
inference('HYPERRESOLVE',[status(thm)],[cls_False_0,cls_mod__if_1]) ).
cnf(5311,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),X),Y)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),X),hAPP(c_Suc,Y)),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Osemiring__rules_I27_J_0,clsarity_nat__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(5313,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),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))),c_HOL_Ouminus__class_Ouminus(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_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(c_Suc,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)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),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))),c_HOL_Ouminus__class_Ouminus(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_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(c_Suc,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)),
inference('REWRITE',[status(thm)],[2343,5311,theory(equality)]) ).
cnf(6930,plain,
c_Divides_Odiv__class_Omod(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_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),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_mod__if_0,cls_conjecture_1]),2472,theory(equality)]) ).
cnf(6931,plain,
c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(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),
inference('REWRITE',[status(thm)],[cls_conjecture_1,6930,theory(equality)]) ).
cnf(6933,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),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_Divides_Odiv__class_Omod(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_HOL_Ouminus__class_Ouminus(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_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(c_Suc,v_ka____))),tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(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)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),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_Divides_Odiv__class_Omod(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_HOL_Ouminus__class_Ouminus(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_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(c_Suc,v_ka____))),tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(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)),
inference('REWRITE',[status(thm)],[5313,6930,theory(equality)]) ).
cnf(10109,plain,
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____),X,c_Divides_Odiv__class_Omod(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____,X),c_Divides_Odiv__class_Omod(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)),
inference('HYPERRESOLVE',[status(thm)],[cls_Suc_Ohyps_0,6931]) ).
cnf(10110,plain,
$false,
inference('REWRITE',[status(thm)],[6933,10109,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV716-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 23:09:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T23:09:39
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-14T23:09:39
% 0.62/0.83 WARNING:
% 0.62/0.83 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.83 WARNING:
% 0.62/0.83 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.62/0.83 WARNING:
% 0.62/0.83 |c_Fun_Oinj__on| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 45.55/45.72
% 45.55/45.72
% 45.55/45.72 #||
% 45.55/45.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.55/45.72 % SZS output start Refutation
% See solution above
% 45.55/45.72 ||#
% 45.55/45.72
% 45.55/45.72 ; Summary of computation:
% 45.55/45.72 ; 108046 formulas have been input or derived (from 1074 formulas).
% 45.55/45.72 ; 10110 ( 9%) were retained. Of these,
% 45.55/45.72 ; 868 ( 9%) were simplified or subsumed later,
% 45.55/45.72 ; 9242 (91%) are still being kept.
% 45.55/45.72 ;
% 45.55/45.72 ; Run time in seconds excluding printing time:
% 45.55/45.72 ; 0.302 1% Read assertion file (1 call)
% 45.55/45.72 ; 0.031 0% Assert (1,575 calls)
% 45.55/45.72 ; 1.640 4% Process new row (103,220 calls)
% 45.55/45.72 ; 5.168 11% Resolution (2,146 calls)
% 45.55/45.72 ; 0.180 0% Paramodulation (1,073 calls)
% 45.55/45.72 ; 0.001 0% Factoring (19 calls)
% 45.55/45.72 ; 0.706 2% Condensing (51,479 calls)
% 45.55/45.72 ; 23.301 52% Forward subsumption (51,479 calls)
% 45.55/45.72 ; 0.663 1% Backward subsumption (6,707 calls)
% 45.55/45.72 ; 1.289 3% Clause clause subsumption (214,431 calls)
% 45.55/45.72 ; 7.739 17% Forward simplification (102,802 calls)
% 45.55/45.72 ; 0.183 0% Backward simplification (10,076 calls)
% 45.55/45.72 ; 3.572 8% Ordering (505,468 calls)
% 45.55/45.72 ; 0.000 0% Sortal reasoning (32 calls)
% 45.55/45.72 ; 0.005 0% Purity testing (1 call)
% 45.55/45.72 ; 0.456 1% Other
% 45.55/45.72 ; 45.236 Total
% 45.55/45.72 ; 45.250 Real time
% 45.55/45.72 ;
% 45.55/45.73 ; Term-hash-array has 17,929 terms in all.
% 45.55/45.73 ; Feature-vector-row-index has 6,312 entries (6,312 at peak, 6,707 added, 395 deleted).
% 45.55/45.73 ; Feature-vector-row-index has 61,159 nodes (61,159 at peak, 65,131 added, 3,972 deleted).
% 45.55/45.73 ; Retrieved 983,962 possibly forward subsuming rows in 51,479 calls.
% 45.55/45.73 ; Retrieved 7,284 possibly backward subsumed rows in 6,707 calls.
% 45.55/45.73 ; Path-index has 16,484 entries (16,507 at peak, 18,169 added, 1,685 deleted).
% 45.55/45.73 ; Path-index has 25,197 nodes (25,530 at peak, 28,240 added, 3,043 deleted).
% 45.55/45.73 ; Trie-index has 16,484 entries (16,507 at peak, 18,169 added, 1,685 deleted).
% 45.55/45.73 ; Trie-index has 97,056 nodes (98,051 at peak, 116,039 added, 18,983 deleted).
% 45.55/45.73 ; Retrieved 917,375 generalization terms in 1,165,362 calls.
% 45.55/45.73 ; Retrieved 11,418 instance terms in 4,056 calls.
% 45.55/45.73 ; Retrieved 8,033,301 unifiable terms in 26,076 calls.
% 45.55/45.73 ;
% 45.55/45.73 ; The agenda of rows to process has 4 entries:
% 45.55/45.73 ; 3 with value 64 1 with value 74
% 45.55/45.73 ; The agenda of input rows to give has 44 entries:
% 45.55/45.73 ; 1 with value 45 1 with value 52 1 with value 59
% 45.55/45.73 ; 4 with value 46 1 with value 53 1 with value 60
% 45.55/45.73 ; 4 with value 47 5 with value 54 1 with value 64
% 45.55/45.73 ; 1 with value 48 1 with value 55 1 with value 67
% 45.55/45.73 ; 3 with value 49 9 with value 56 1 with value 71
% 45.55/45.73 ; 1 with value 51 8 with value 58
% 45.55/45.73 ; The agenda of rows to give has 8137 entries:
% 45.55/45.73 ; 4 with value (4 4) 211 with value (4 43) 18 with value (4 81)
% 45.55/45.73 ; 5 with value (4 6) 184 with value (4 44) 18 with value (4 82)
% 45.55/45.73 ; 7 with value (4 7) 163 with value (4 45) 23 with value (4 83)
% 45.55/45.73 ; 16 with value (4 8) 142 with value (4 46) 12 with value (4 84)
% 45.55/45.73 ; 21 with value (4 9) 113 with value (4 47) 10 with value (4 85)
% 45.55/45.73 ; 26 with value (4 10) 104 with value (4 48) 4 with value (4 86)
% 45.55/45.73 ; 30 with value (4 11) 91 with value (4 49) 8 with value (4 87)
% 45.55/45.73 ; 51 with value (4 12) 106 with value (4 50) 7 with value (4 88)
% 45.55/45.73 ; 30 with value (4 13) 74 with value (4 51) 16 with value (4 89)
% 45.55/45.73 ; 64 with value (4 14) 96 with value (4 52) 5 with value (4 90)
% 45.55/45.73 ; 59 with value (4 15) 61 with value (4 53) 6 with value (4 91)
% 45.55/45.73 ; 72 with value (4 16) 65 with value (4 54) 2 with value (4 92)
% 45.55/45.73 ; 110 with value (4 17) 81 with value (4 55) 15 with value (4 93)
% 45.55/45.73 ; 101 with value (4 18) 42 with value (4 56) 4 with value (4 94)
% 45.55/45.73 ; 133 with value (4 19) 38 with value (4 57) 8 with value (4 95)
% 45.55/45.73 ; 103 with value (4 20) 54 with value (4 58) 2 with value (4 96)
% 45.55/45.73 ; 187 with value (4 21) 46 with value (4 59) 2 with value (4 97)
% 45.55/45.73 ; 145 with value (4 22) 39 with value (4 60) 4 with value (4 99)
% 45.55/45.73 ; 198 with value (4 23) 39 with value (4 61) 2 with value (4 100)
% 45.55/45.73 ; 150 with value (4 24) 37 with value (4 62) 8 with value (4 101)
% 45.55/45.73 ; 249 with value (4 25) 22 with value (4 63) 2 with value (4 102)
% 45.55/45.73 ; 234 with value (4 26) 29 with value (4 64) 2 with value (4 103)
% 45.55/45.73 ; 188 with value (4 27) 31 with value (4 65) 2 with value (4 104)
% 45.55/45.73 ; 260 with value (4 28) 24 with value (4 66) 3 with value (4 105)
% 45.55/45.73 ; 259 with value (4 29) 39 with value (4 67) 1 with value (4 107)
% 45.55/45.73 ; 290 with value (4 30) 14 with value (4 68) 3 with value (4 110)
% 45.55/45.73 ; 247 with value (4 31) 20 with value (4 69) 6 with value (4 111)
% 45.55/45.73 ; 288 with value (4 32) 26 with value (4 70) 6 with value (4 117)
% 45.55/45.73 ; 277 with value (4 33) 20 with value (4 71) 4 with value (4 118)
% 45.55/45.73 ; 246 with value (4 34) 11 with value (4 72) 2 with value (4 119)
% 45.55/45.73 ; 246 with value (4 35) 11 with value (4 73) 2 with value (4 126)
% 45.55/45.73 ; 251 with value (4 36) 16 with value (4 74) 2 with value (4 129)
% 45.55/45.73 ; 263 with value (4 37) 8 with value (4 75) 2 with value (4 130)
% 45.55/45.73 ; 243 with value (4 38) 9 with value (4 76) 2 with value (4 132)
% 45.55/45.73 ; 218 with value (4 39) 11 with value (4 77) 1 with value (4 139)
% 45.55/45.73 ; 187 with value (4 40) 14 with value (4 78) 2 with value (4 140)
% 45.55/45.73 ; 182 with value (4 41) 6 with value (4 79) 1 with value (4 159)
% 45.55/45.73 ; 169 with value (4 42) 14 with value (4 80)
% 45.55/45.73 Evaluation took:
% 45.55/45.73 45.256 seconds of real time
% 45.55/45.73 43.078144 seconds of user run time
% 45.55/45.73 2.170151 seconds of system run time
% 45.55/45.73 [Run times include 6.536 seconds GC run time.]
% 45.55/45.73 0 calls to %EVAL
% 45.55/45.73 0 page faults and
% 45.55/45.73 4,620,730,656 bytes consed.
% 45.55/45.73 :PROOF-FOUND
% 45.55/45.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T23:10:24
% 45.55/45.73 :PROOF-FOUND
% 45.55/45.73 *
%------------------------------------------------------------------------------