TSTP Solution File: NUM924_3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM924_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n015.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 : 300s
% DateTime : Tue Aug 22 10:53:06 EDT 2023
% Result : Theorem 20.78s 8.01s
% Output : CNFRefutation 21.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 142
% Syntax : Number of formulae : 162 ( 31 unt; 131 typ; 0 def)
% Number of atoms : 31 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 155 ( 84 >; 71 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 111 ( 111 usr; 28 con; 0-3 aty)
% Number of variables : 22 (; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
%$ hBOOL > zcong > wset > standardRes > product_Pair_int_int > multInv > member_int > legendre > inv > hAPP_real_real > hAPP_real_bool > hAPP_r1134773055l_bool > hAPP_nat_real > hAPP_nat_nat > hAPP_nat_int > hAPP_nat_bool > hAPP_n1699378549t_bool > hAPP_int_int > hAPP_int_bool > hAPP_i68813070l_bool > hAPP_i1948725293t_bool > hAPP_bool_bool > hAPP_b589554111l_bool > cOMBS_int_bool_bool > cOMBC_int_int_bool > cOMBB_1652995168ol_int > #nlpp > zfact > twoSqu949963151sum2sq > times_times_real > times_times_nat > times_times_int > sr > quadRes > power_power_real > power_power_nat > power_power_int > plus_plus_real > plus_plus_nat > plus_plus_int > number_number_of_nat > number_number_of_int > number267125858f_real > minus_minus_real > minus_minus_nat > minus_minus_int > div_mod_nat > div_mod_int > d22set > collect_int > bit1 > bit0 > zprime > zero_zero_real > zero_zero_nat > zero_zero_int > twoSqu820444569sum2sq > t > s1 > s > pls > ord_less_real > ord_less_nat > ord_less_int > ord_less_eq_real > ord_less_eq_nat > ord_less_eq_int > one_one_real > one_one_nat > one_one_int > min > m > fconj > dvd_dvd_real > dvd_dvd_nat > dvd_dvd_int > #skF_6 > #skF_36 > #skF_10 > #skF_25 > #skF_30 > #skF_29 > #skF_13 > #skF_32 > #skF_7 > #skF_14 > #skF_35 > #skF_19 > #skF_26 > #skF_28 > #skF_11 > #skF_20 > #skF_31 > #skF_3 > #skF_1 > #skF_16 > #skF_5 > #skF_12 > #skF_9 > #skF_27 > #skF_23 > #skF_33 > #skF_2 > #skF_37 > #skF_4 > #skF_21 > #skF_17 > #skF_8 > #skF_22 > #skF_34 > #skF_18 > #skF_24 > #skF_15
%Foreground sorts:
tff(fun_int_bool,type,
fun_int_bool: $tType ).
tff(fun_int_fun_int_bool,type,
fun_int_fun_int_bool: $tType ).
tff(real,type,
real: $tType ).
tff(fun_re413263731l_bool,type,
fun_re413263731l_bool: $tType ).
tff(fun_bool_bool,type,
fun_bool_bool: $tType ).
tff(fun_real_real,type,
fun_real_real: $tType ).
tff(fun_nat_bool,type,
fun_nat_bool: $tType ).
tff(fun_int_int,type,
fun_int_int: $tType ).
tff(fun_bo1549164019l_bool,type,
fun_bo1549164019l_bool: $tType ).
tff(nat,type,
nat: $tType ).
tff(fun_nat_fun_nat_bool,type,
fun_nat_fun_nat_bool: $tType ).
tff(fun_in531499254l_bool,type,
fun_in531499254l_bool: $tType ).
tff(product_prod_int_int,type,
product_prod_int_int: $tType ).
tff(bool,type,
bool: $tType ).
tff(fun_real_bool,type,
fun_real_bool: $tType ).
tff(int,type,
int: $tType ).
tff(fun_nat_nat,type,
fun_nat_nat: $tType ).
tff(fun_nat_int,type,
fun_nat_int: $tType ).
tff(fun_nat_real,type,
fun_nat_real: $tType ).
%Background operators:
%Foreground operators:
tff('#skF_6',type,
'#skF_6': ( int * int * int ) > int ).
tff('#skF_36',type,
'#skF_36': ( fun_nat_bool * nat * nat ) > nat ).
tff(ord_less_eq_real,type,
ord_less_eq_real: fun_re413263731l_bool ).
tff('#skF_10',type,
'#skF_10': ( nat * nat ) > nat ).
tff(bit1,type,
bit1: int > int ).
tff(hAPP_nat_real,type,
hAPP_nat_real: ( fun_nat_real * nat ) > real ).
tff('#skF_25',type,
'#skF_25': ( nat * nat * fun_nat_nat ) > nat ).
tff('#skF_30',type,
'#skF_30': ( fun_int_bool * int * int ) > int ).
tff('#skF_29',type,
'#skF_29': ( int * int ) > int ).
tff('#skF_13',type,
'#skF_13': ( nat * fun_nat_bool ) > nat ).
tff('#skF_32',type,
'#skF_32': ( fun_int_bool * int * int ) > int ).
tff(collect_int,type,
collect_int: fun_int_bool > fun_int_bool ).
tff(s1,type,
s1: int ).
tff(one_one_int,type,
one_one_int: int ).
tff(zfact,type,
zfact: int > int ).
tff('#skF_7',type,
'#skF_7': ( int * int ) > int ).
tff('#skF_14',type,
'#skF_14': int > int ).
tff(hAPP_int_bool,type,
hAPP_int_bool: ( fun_int_bool * int ) > bool ).
tff('#skF_35',type,
'#skF_35': ( nat * nat ) > nat ).
tff(cOMBC_int_int_bool,type,
cOMBC_int_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(member_int,type,
member_int: ( int * fun_int_bool ) > bool ).
tff('#skF_19',type,
'#skF_19': int > int ).
tff(wset,type,
wset: ( int * int ) > fun_int_bool ).
tff(number267125858f_real,type,
number267125858f_real: int > real ).
tff(plus_plus_real,type,
plus_plus_real: real > fun_real_real ).
tff('#skF_26',type,
'#skF_26': ( nat * nat * fun_nat_nat ) > nat ).
tff('#skF_28',type,
'#skF_28': ( nat * nat ) > nat ).
tff(one_one_real,type,
one_one_real: real ).
tff('#skF_11',type,
'#skF_11': ( fun_nat_bool * nat * nat ) > nat ).
tff(sr,type,
sr: int > fun_int_bool ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff('#skF_20',type,
'#skF_20': ( fun_int_bool * int * int ) > int ).
tff('#skF_31',type,
'#skF_31': ( fun_int_bool * int * int ) > int ).
tff(hAPP_real_real,type,
hAPP_real_real: ( fun_real_real * real ) > real ).
tff(ord_less_int,type,
ord_less_int: fun_int_fun_int_bool ).
tff('#skF_3',type,
'#skF_3': int ).
tff(min,type,
min: int ).
tff(power_power_real,type,
power_power_real: real > fun_nat_real ).
tff(zero_zero_real,type,
zero_zero_real: real ).
tff(dvd_dvd_int,type,
dvd_dvd_int: fun_int_fun_int_bool ).
tff(d22set,type,
d22set: int > fun_int_bool ).
tff('#skF_1',type,
'#skF_1': int ).
tff(hAPP_i68813070l_bool,type,
hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).
tff(minus_minus_real,type,
minus_minus_real: real > fun_real_real ).
tff(times_times_int,type,
times_times_int: int > fun_int_int ).
tff('#skF_16',type,
'#skF_16': ( int * fun_int_bool * int ) > int ).
tff('#skF_5',type,
'#skF_5': int ).
tff(number_number_of_int,type,
number_number_of_int: int > int ).
tff(hAPP_n1699378549t_bool,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(minus_minus_nat,type,
minus_minus_nat: nat > fun_nat_nat ).
tff(product_Pair_int_int,type,
product_Pair_int_int: ( int * int ) > product_prod_int_int ).
tff(ord_less_real,type,
ord_less_real: fun_re413263731l_bool ).
tff(s,type,
s: int ).
tff(zcong,type,
zcong: ( int * int ) > fun_int_bool ).
tff(standardRes,type,
standardRes: ( int * int ) > int ).
tff(power_power_nat,type,
power_power_nat: nat > fun_nat_nat ).
tff(div_mod_int,type,
div_mod_int: int > fun_int_int ).
tff(m,type,
m: int ).
tff('#skF_12',type,
'#skF_12': ( fun_nat_bool * nat * nat ) > nat ).
tff(dvd_dvd_real,type,
dvd_dvd_real: fun_re413263731l_bool ).
tff(cOMBS_int_bool_bool,type,
cOMBS_int_bool_bool: ( fun_in531499254l_bool * fun_int_bool ) > fun_int_bool ).
tff('#skF_9',type,
'#skF_9': ( real * nat ) > real ).
tff(number_number_of_nat,type,
number_number_of_nat: int > nat ).
tff('#skF_27',type,
'#skF_27': ( nat * fun_nat_bool ) > nat ).
tff(dvd_dvd_nat,type,
dvd_dvd_nat: fun_nat_fun_nat_bool ).
tff(fconj,type,
fconj: fun_bo1549164019l_bool ).
tff(legendre,type,
legendre: ( int * int ) > int ).
tff(div_mod_nat,type,
div_mod_nat: nat > fun_nat_nat ).
tff(plus_plus_nat,type,
plus_plus_nat: nat > fun_nat_nat ).
tff(twoSqu820444569sum2sq,type,
twoSqu820444569sum2sq: fun_int_bool ).
tff('#skF_23',type,
'#skF_23': ( fun_int_bool * int * int ) > int ).
tff('#skF_33',type,
'#skF_33': ( fun_int_bool * int * int ) > int ).
tff('#skF_2',type,
'#skF_2': int ).
tff(times_times_real,type,
times_times_real: real > fun_real_real ).
tff(hAPP_int_int,type,
hAPP_int_int: ( fun_int_int * int ) > int ).
tff(times_times_nat,type,
times_times_nat: nat > fun_nat_nat ).
tff('#skF_37',type,
'#skF_37': ( fun_nat_bool * nat * nat ) > nat ).
tff(hAPP_i1948725293t_bool,type,
hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(hAPP_nat_bool,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(one_one_nat,type,
one_one_nat: nat ).
tff(plus_plus_int,type,
plus_plus_int: int > fun_int_int ).
tff('#skF_4',type,
'#skF_4': int > int ).
tff('#skF_21',type,
'#skF_21': ( int * fun_int_bool ) > int ).
tff(ord_less_eq_int,type,
ord_less_eq_int: fun_int_fun_int_bool ).
tff(hAPP_nat_int,type,
hAPP_nat_int: ( fun_nat_int * nat ) > int ).
tff(minus_minus_int,type,
minus_minus_int: int > fun_int_int ).
tff(twoSqu949963151sum2sq,type,
twoSqu949963151sum2sq: product_prod_int_int > int ).
tff(pls,type,
pls: int ).
tff(hAPP_nat_nat,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(zero_zero_nat,type,
zero_zero_nat: nat ).
tff('#skF_17',type,
'#skF_17': ( int * int ) > int ).
tff('#skF_8',type,
'#skF_8': ( real * nat ) > real ).
tff(hAPP_real_bool,type,
hAPP_real_bool: ( fun_real_bool * real ) > bool ).
tff(ord_less_nat,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff('#skF_22',type,
'#skF_22': ( fun_int_bool * int * int ) > int ).
tff(bit0,type,
bit0: int > int ).
tff(hBOOL,type,
hBOOL: bool > $o ).
tff('#skF_34',type,
'#skF_34': ( int * int ) > int ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(inv,type,
inv: ( int * int ) > int ).
tff(power_power_int,type,
power_power_int: int > fun_nat_int ).
tff(multInv,type,
multInv: ( int * int ) > int ).
tff('#skF_18',type,
'#skF_18': int > int ).
tff(quadRes,type,
quadRes: int > fun_int_bool ).
tff(hAPP_r1134773055l_bool,type,
hAPP_r1134773055l_bool: ( fun_re413263731l_bool * real ) > fun_real_bool ).
tff(ord_less_eq_nat,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(zprime,type,
zprime: fun_int_bool ).
tff(cOMBB_1652995168ol_int,type,
cOMBB_1652995168ol_int: ( fun_bo1549164019l_bool * fun_int_bool ) > fun_in531499254l_bool ).
tff(t,type,
t: int ).
tff(zero_zero_int,type,
zero_zero_int: int ).
tff('#skF_24',type,
'#skF_24': ( fun_int_bool * int * int ) > int ).
tff('#skF_15',type,
'#skF_15': ( int * fun_int_bool * int ) > int ).
tff(f_656,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_Pls__def) ).
tff(f_936,axiom,
! [X_16: int] : ( hAPP_int_int(times_times_int(X_16),X_16) = hAPP_nat_int(power_power_int(X_16),number_number_of_nat(bit0(bit1(pls)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
tff(f_1107,axiom,
! [A_99: int,C_41: int] : ( hAPP_int_int(plus_plus_int(A_99),C_41) = hAPP_int_int(plus_plus_int(C_41),A_99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f_5710,axiom,
! [P: fun_int_fun_int_bool,Q: int,R: int] : ( hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U) ).
tff(f_5717,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_866,axiom,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_semiring__one__add__one__is__two) ).
tff(f_1101,axiom,
! [A_100: int,B_66: int] : ( hAPP_int_int(times_times_int(A_100),B_66) = hAPP_int_int(times_times_int(B_66),A_100) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f_124,axiom,
! [K_1: int] : ( number_number_of_int(K_1) = K_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_number__of__is__id) ).
tff(f_35,axiom,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
tff(f_1830,axiom,
! [A_72: int] : ( hAPP_int_int(times_times_int(A_72),zero_zero_int) = zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_506_mult__zero__right) ).
tff(f_34,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
tff(c_526,plain,
zero_zero_int = pls,
inference(cnfTransformation,[status(thm)],[f_656]) ).
tff(c_808,plain,
! [X_16_386: int] : ( hAPP_nat_int(power_power_int(X_16_386),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(X_16_386),X_16_386) ),
inference(cnfTransformation,[status(thm)],[f_936]) ).
tff(c_926,plain,
! [C_41_518: int,A_99_517: int] : ( hAPP_int_int(plus_plus_int(C_41_518),A_99_517) = hAPP_int_int(plus_plus_int(A_99_517),C_41_518) ),
inference(cnfTransformation,[status(thm)],[f_1107]) ).
tff(c_3515,plain,
! [P_2611: fun_int_fun_int_bool,R_2613: int,Q_2612: int] : ( hAPP_int_bool(hAPP_i1948725293t_bool(P_2611,R_2613),Q_2612) = hAPP_int_bool(cOMBC_int_int_bool(P_2611,Q_2612),R_2613) ),
inference(cnfTransformation,[status(thm)],[f_5710]) ).
tff(c_3521,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(cnfTransformation,[status(thm)],[f_5717]) ).
tff(c_3522,plain,
~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))),
inference(demodulation,[status(thm),theory(equality)],[c_3515,c_3521]) ).
tff(c_3900,plain,
~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))))),
inference(demodulation,[status(thm),theory(equality)],[c_926,c_3522]) ).
tff(c_3975,plain,
~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),
inference(demodulation,[status(thm),theory(equality)],[c_808,c_3900]) ).
tff(c_4306,plain,
~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_3975]) ).
tff(c_750,plain,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(cnfTransformation,[status(thm)],[f_866]) ).
tff(c_4035,plain,
! [X_16_386: int] : ( hAPP_nat_int(power_power_int(X_16_386),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)) = hAPP_int_int(times_times_int(X_16_386),X_16_386) ),
inference(demodulation,[status(thm),theory(equality)],[c_750,c_808]) ).
tff(c_920,plain,
! [B_66_512: int,A_100_511: int] : ( hAPP_int_int(times_times_int(B_66_512),A_100_511) = hAPP_int_int(times_times_int(A_100_511),B_66_512) ),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_94,plain,
! [K_1_24: int] : ( number_number_of_int(K_1_24) = K_1_24 ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_8,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_4697,plain,
hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(m),bit0(bit0(bit1(pls)))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_750,c_920,c_920,c_926,c_926,c_94,c_8]) ).
tff(c_1384,plain,
! [A_72_866: int] : ( hAPP_int_int(times_times_int(A_72_866),zero_zero_int) = zero_zero_int ),
inference(cnfTransformation,[status(thm)],[f_1830]) ).
tff(c_4255,plain,
! [A_72_866: int] : ( hAPP_int_int(times_times_int(A_72_866),pls) = pls ),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_526,c_1384]) ).
tff(c_6,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_4699,plain,
hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),
inference(demodulation,[status(thm),theory(equality)],[c_4697,c_3515,c_920,c_920,c_4255,c_926,c_926,c_94,c_94,c_526,c_6]) ).
tff(c_4700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4306,c_4699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM924_3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.35 % Computer : n015.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 15:23:44 EDT 2023
% 0.17/0.36 % CPUTime :
% 20.78/8.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.78/8.01
% 20.78/8.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.02/8.05
% 21.02/8.05 Inference rules
% 21.02/8.05 ----------------------
% 21.02/8.05 #Ref : 0
% 21.02/8.05 #Sup : 0
% 21.02/8.05 #Fact : 0
% 21.02/8.05 #Define : 0
% 21.02/8.05 #Split : 0
% 21.02/8.05 #Chain : 0
% 21.02/8.05 #Close : 0
% 21.02/8.05
% 21.02/8.05 Ordering : KBO
% 21.02/8.05
% 21.02/8.05 Simplification rules
% 21.02/8.05 ----------------------
% 21.02/8.05 #Subsume : 1412
% 21.02/8.05 #Demod : 1856
% 21.02/8.05 #Tautology : 333
% 21.02/8.05 #SimpNegUnit : 4
% 21.02/8.05 #BackRed : 0
% 21.02/8.05
% 21.02/8.05 #Partial instantiations: 0
% 21.02/8.05 #Strategies tried : 1
% 21.02/8.05
% 21.02/8.05 Timing (in seconds)
% 21.02/8.05 ----------------------
% 21.02/8.05 Preprocessing : 2.41
% 21.02/8.05 Parsing : 1.33
% 21.02/8.05 CNF conversion : 0.17
% 21.02/8.05 Main loop : 4.56
% 21.02/8.05 Inferencing : 0.00
% 21.02/8.05 Reduction : 3.01
% 21.02/8.05 Demodulation : 2.30
% 21.02/8.05 BG Simplification : 0.27
% 21.02/8.05 Subsumption : 1.09
% 21.02/8.05 Abstraction : 0.09
% 21.02/8.05 MUC search : 0.00
% 21.02/8.05 Cooper : 0.00
% 21.02/8.05 Total : 7.03
% 21.02/8.05 Index Insertion : 0.00
% 21.02/8.05 Index Deletion : 0.00
% 21.02/8.05 Index Matching : 0.00
% 21.02/8.05 BG Taut test : 0.00
%------------------------------------------------------------------------------