TSTP Solution File: SWV706-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV706-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 21:35:45 EDT 2022
% Result : Unsatisfiable 53.41s 53.64s
% Output : Refutation 53.41s
% 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 : 14 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 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/sandbox2/benchmark/theBenchmark.p',cls_diff__def_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_mod__if_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/sandbox2/benchmark/theBenchmark.p',cls_mod__if_1) ).
cnf(cls_Suc_Ohyps_0,axiom,
( c_FFT__Mirabelle_ODFT(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_OFFT(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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_ODFT(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_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____)))),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_ODFT(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_OFFT(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_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____)))),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_OFFT(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/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
cnf(2357,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(2376,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_ODFT(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_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____)))),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_ODFT(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_OFFT(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_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____)))),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_OFFT(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_2,2357,theory(equality)]) ).
cnf(2505,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(5751,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(5753,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_ODFT(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_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____)))),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_ODFT(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_OFFT(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_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____)))),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_OFFT(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)],[2376,5751,theory(equality)]) ).
cnf(7738,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]),2505,theory(equality)]) ).
cnf(7739,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_1,7738,theory(equality)]) ).
cnf(7741,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_ODFT(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_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____)))),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_ODFT(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_OFFT(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_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____)))),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_OFFT(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)],[5753,7738,theory(equality)]) ).
cnf(11351,plain,
c_FFT__Mirabelle_ODFT(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_OFFT(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_0,7739]) ).
cnf(11352,plain,
$false,
inference('REWRITE',[status(thm)],[7741,11351,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV706-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 21:42:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T21:42:29
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T21:42:29
% 0.68/0.92 WARNING:
% 0.68/0.92 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.92 WARNING:
% 0.68/0.92 |c_Ring__and__Field_Ocomm__ring__1| is a 7-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.92 WARNING:
% 0.68/0.92 |c_OrderedGroup_Omonoid__mult| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.92 WARNING:
% 0.68/0.92 |c_Ring__and__Field_Oordered__idom| is a 11-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.92 WARNING:
% 0.68/0.92 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.92 WARNING:
% 0.68/0.92 |c_Fun_Oinj__on| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 53.41/53.64
% 53.41/53.64
% 53.41/53.64 #||
% 53.41/53.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.41/53.64 % SZS output start Refutation
% See solution above
% 53.41/53.66 ||#
% 53.41/53.66
% 53.41/53.66 ; Summary of computation:
% 53.41/53.66 ; 118708 formulas have been input or derived (from 1136 formulas).
% 53.41/53.66 ; 11352 (10%) were retained. Of these,
% 53.41/53.66 ; 996 ( 9%) were simplified or subsumed later,
% 53.41/53.66 ; 10356 (91%) are still being kept.
% 53.41/53.66 ;
% 53.41/53.67 ; Run time in seconds excluding printing time:
% 53.41/53.67 ; 0.355 1% Read assertion file (1 call)
% 53.41/53.67 ; 0.039 0% Assert (1,827 calls)
% 53.41/53.67 ; 1.985 4% Process new row (113,513 calls)
% 53.41/53.67 ; 6.212 12% Resolution (2,270 calls)
% 53.41/53.67 ; 0.181 0% Paramodulation (1,135 calls)
% 53.41/53.67 ; 0.000 0% Factoring (26 calls)
% 53.41/53.67 ; 0.716 1% Condensing (55,504 calls)
% 53.41/53.67 ; 27.961 53% Forward subsumption (55,504 calls)
% 53.41/53.67 ; 0.933 2% Backward subsumption (7,713 calls)
% 53.41/53.67 ; 1.465 3% Clause clause subsumption (225,189 calls)
% 53.41/53.67 ; 8.698 16% Forward simplification (112,929 calls)
% 53.41/53.67 ; 0.252 0% Backward simplification (11,309 calls)
% 53.41/53.67 ; 3.877 7% Ordering (536,808 calls)
% 53.41/53.67 ; 0.001 0% Sortal reasoning (32 calls)
% 53.41/53.67 ; 0.016 0% Purity testing (1 call)
% 53.41/53.67 ; 0.452 1% Other
% 53.41/53.67 ; 53.143 Total
% 53.41/53.67 ; 53.169 Real time
% 53.41/53.67 ;
% 53.41/53.67 ; Term-hash-array has 20,687 terms in all.
% 53.41/53.67 ; Feature-vector-row-index has 7,207 entries (7,207 at peak, 7,713 added, 506 deleted).
% 53.41/53.67 ; Feature-vector-row-index has 73,001 nodes (73,001 at peak, 77,957 added, 4,956 deleted).
% 53.41/53.67 ; Retrieved 1,009,942 possibly forward subsuming rows in 55,504 calls.
% 53.41/53.67 ; Retrieved 8,368 possibly backward subsumed rows in 7,713 calls.
% 53.41/53.67 ; Path-index has 18,999 entries (19,021 at peak, 21,176 added, 2,177 deleted).
% 53.41/53.67 ; Path-index has 32,468 nodes (32,783 at peak, 36,339 added, 3,871 deleted).
% 53.41/53.67 ; Trie-index has 18,999 entries (19,021 at peak, 21,176 added, 2,177 deleted).
% 53.41/53.67 ; Trie-index has 117,630 nodes (118,575 at peak, 144,900 added, 27,270 deleted).
% 53.41/53.67 ; Retrieved 1,000,623 generalization terms in 1,276,639 calls.
% 53.41/53.67 ; Retrieved 13,013 instance terms in 4,358 calls.
% 53.41/53.67 ; Retrieved 9,053,631 unifiable terms in 27,737 calls.
% 53.41/53.67 ;
% 53.41/53.67 ; The agenda of rows to process has 4 entries:
% 53.41/53.67 ; 3 with value 64 1 with value 74
% 53.41/53.67 ; The agenda of input rows to give has 54 entries:
% 53.41/53.67 ; 1 with value 45 1 with value 52 1 with value 59
% 53.41/53.67 ; 4 with value 46 3 with value 53 1 with value 60
% 53.41/53.67 ; 5 with value 47 6 with value 54 1 with value 64
% 53.41/53.67 ; 2 with value 48 1 with value 55 1 with value 67
% 53.41/53.67 ; 3 with value 49 9 with value 56 1 with value 71
% 53.41/53.67 ; 2 with value 50 2 with value 57 1 with value 78
% 53.41/53.67 ; 1 with value 51 8 with value 58
% 53.41/53.67 ; The agenda of rows to give has 9173 entries:
% 53.41/53.67 ; 5 with value (4 4) 197 with value (4 44) 16 with value (4 83)
% 53.41/53.67 ; 5 with value (4 6) 206 with value (4 45) 12 with value (4 84)
% 53.41/53.67 ; 12 with value (4 7) 176 with value (4 46) 8 with value (4 85)
% 53.41/53.67 ; 16 with value (4 8) 141 with value (4 47) 5 with value (4 86)
% 53.41/53.67 ; 20 with value (4 9) 119 with value (4 48) 3 with value (4 87)
% 53.41/53.67 ; 31 with value (4 10) 131 with value (4 49) 12 with value (4 88)
% 53.41/53.67 ; 30 with value (4 11) 138 with value (4 50) 12 with value (4 89)
% 53.41/53.67 ; 42 with value (4 12) 84 with value (4 51) 4 with value (4 90)
% 53.41/53.67 ; 34 with value (4 13) 149 with value (4 52) 4 with value (4 91)
% 53.41/53.67 ; 66 with value (4 14) 68 with value (4 53) 4 with value (4 92)
% 53.41/53.67 ; 62 with value (4 15) 86 with value (4 54) 13 with value (4 93)
% 53.41/53.67 ; 72 with value (4 16) 105 with value (4 55) 4 with value (4 94)
% 53.41/53.67 ; 106 with value (4 17) 60 with value (4 56) 11 with value (4 95)
% 53.41/53.67 ; 106 with value (4 18) 58 with value (4 57) 2 with value (4 96)
% 53.41/53.67 ; 131 with value (4 19) 74 with value (4 58) 2 with value (4 97)
% 53.41/53.67 ; 111 with value (4 20) 62 with value (4 59) 1 with value (4 98)
% 53.41/53.67 ; 210 with value (4 21) 73 with value (4 60) 10 with value (4 99)
% 53.41/53.67 ; 154 with value (4 22) 60 with value (4 61) 1 with value (4 100)
% 53.41/53.67 ; 211 with value (4 23) 51 with value (4 62) 7 with value (4 101)
% 53.41/53.67 ; 160 with value (4 24) 44 with value (4 63) 2 with value (4 102)
% 53.41/53.67 ; 260 with value (4 25) 42 with value (4 64) 4 with value (4 103)
% 53.41/53.67 ; 256 with value (4 26) 40 with value (4 65) 1 with value (4 104)
% 53.41/53.67 ; 203 with value (4 27) 36 with value (4 66) 1 with value (4 105)
% 53.41/53.67 ; 275 with value (4 28) 42 with value (4 67) 3 with value (4 107)
% 53.41/53.67 ; 276 with value (4 29) 26 with value (4 68) 1 with value (4 110)
% 53.41/53.67 ; 291 with value (4 30) 31 with value (4 69) 8 with value (4 111)
% 53.41/53.67 ; 267 with value (4 31) 33 with value (4 70) 1 with value (4 116)
% 53.41/53.67 ; 274 with value (4 32) 28 with value (4 71) 2 with value (4 117)
% 53.41/53.67 ; 285 with value (4 33) 15 with value (4 72) 2 with value (4 119)
% 53.41/53.67 ; 260 with value (4 34) 18 with value (4 73) 1 with value (4 120)
% 53.41/53.67 ; 258 with value (4 35) 15 with value (4 74) 2 with value (4 123)
% 53.41/53.67 ; 276 with value (4 36) 8 with value (4 75) 1 with value (4 125)
% 53.41/53.67 ; 291 with value (4 37) 7 with value (4 76) 2 with value (4 128)
% 53.41/53.67 ; 286 with value (4 38) 17 with value (4 77) 1 with value (4 129)
% 53.41/53.67 ; 242 with value (4 39) 11 with value (4 78) 1 with value (4 131)
% 53.41/53.67 ; 219 with value (4 40) 8 with value (4 79) 2 with value (4 132)
% 53.41/53.67 ; 220 with value (4 41) 11 with value (4 80) 4 with value (4 134)
% 53.41/53.67 ; 206 with value (4 42) 24 with value (4 81) 1 with value (4 141)
% 53.41/53.67 ; 254 with value (4 43) 24 with value (4 82) 1 with value (4 162)
% 53.41/53.67 Evaluation took:
% 53.41/53.67 53.178 seconds of real time
% 53.41/53.67 50.46579 seconds of user run time
% 53.41/53.67 2.709886 seconds of system run time
% 53.41/53.67 [Run times include 8.231 seconds GC run time.]
% 53.41/53.67 0 calls to %EVAL
% 53.41/53.67 0 page faults and
% 53.41/53.67 5,151,813,136 bytes consed.
% 53.41/53.67 :PROOF-FOUND
% 53.41/53.67 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T21:43:22
% 53.41/53.67 :PROOF-FOUND
% 53.41/53.67 *
%------------------------------------------------------------------------------