TSTP Solution File: NUM924_3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM924_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Sun May 5 08:43:14 EDT 2024
% Result : Theorem 1.38s 0.62s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 158
% Syntax : Number of formulae : 183 ( 33 unt; 150 typ; 0 def)
% Number of atoms : 33 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 194 ( 103 >; 91 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 111 ( 111 usr; 28 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
real: $tType ).
tff(type_def_9,type,
fun_bool_bool: $tType ).
tff(type_def_10,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_11,type,
fun_int_bool: $tType ).
tff(type_def_12,type,
fun_int_int: $tType ).
tff(type_def_13,type,
fun_in531499254l_bool: $tType ).
tff(type_def_14,type,
fun_int_fun_int_bool: $tType ).
tff(type_def_15,type,
fun_nat_bool: $tType ).
tff(type_def_16,type,
fun_nat_int: $tType ).
tff(type_def_17,type,
fun_nat_nat: $tType ).
tff(type_def_18,type,
fun_nat_real: $tType ).
tff(type_def_19,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_20,type,
fun_real_bool: $tType ).
tff(type_def_21,type,
fun_real_real: $tType ).
tff(type_def_22,type,
fun_re413263731l_bool: $tType ).
tff(type_def_23,type,
product_prod_int_int: $tType ).
tff(func_def_0,type,
cOMBB_1652995168ol_int: ( fun_bo1549164019l_bool * fun_int_bool ) > fun_in531499254l_bool ).
tff(func_def_1,type,
cOMBC_int_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_2,type,
cOMBS_int_bool_bool: ( fun_in531499254l_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_3,type,
div_mod_int: int > fun_int_int ).
tff(func_def_4,type,
div_mod_nat: nat > fun_nat_nat ).
tff(func_def_5,type,
minus_minus_int: int > fun_int_int ).
tff(func_def_6,type,
minus_minus_nat: nat > fun_nat_nat ).
tff(func_def_7,type,
minus_minus_real: real > fun_real_real ).
tff(func_def_8,type,
one_one_int: int ).
tff(func_def_9,type,
one_one_nat: nat ).
tff(func_def_10,type,
one_one_real: real ).
tff(func_def_11,type,
plus_plus_int: int > fun_int_int ).
tff(func_def_12,type,
plus_plus_nat: nat > fun_nat_nat ).
tff(func_def_13,type,
plus_plus_real: real > fun_real_real ).
tff(func_def_14,type,
times_times_int: int > fun_int_int ).
tff(func_def_15,type,
times_times_nat: nat > fun_nat_nat ).
tff(func_def_16,type,
times_times_real: real > fun_real_real ).
tff(func_def_17,type,
zero_zero_int: int ).
tff(func_def_18,type,
zero_zero_nat: nat ).
tff(func_def_19,type,
zero_zero_real: real ).
tff(func_def_20,type,
multInv: ( int * int ) > int ).
tff(func_def_21,type,
d22set: int > fun_int_bool ).
tff(func_def_22,type,
zfact: int > int ).
tff(func_def_23,type,
zcong: ( int * int ) > fun_int_bool ).
tff(func_def_24,type,
zprime: fun_int_bool ).
tff(func_def_25,type,
bit0: int > int ).
tff(func_def_26,type,
bit1: int > int ).
tff(func_def_27,type,
min: int ).
tff(func_def_28,type,
pls: int ).
tff(func_def_29,type,
number_number_of_int: int > int ).
tff(func_def_30,type,
number_number_of_nat: int > nat ).
tff(func_def_31,type,
number267125858f_real: int > real ).
tff(func_def_32,type,
ord_less_int: fun_int_fun_int_bool ).
tff(func_def_33,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_34,type,
ord_less_real: fun_re413263731l_bool ).
tff(func_def_35,type,
ord_less_eq_int: fun_int_fun_int_bool ).
tff(func_def_36,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_37,type,
ord_less_eq_real: fun_re413263731l_bool ).
tff(func_def_38,type,
power_power_int: int > fun_nat_int ).
tff(func_def_39,type,
power_power_nat: nat > fun_nat_nat ).
tff(func_def_40,type,
power_power_real: real > fun_nat_real ).
tff(func_def_41,type,
product_Pair_int_int: ( int * int ) > product_prod_int_int ).
tff(func_def_42,type,
legendre: ( int * int ) > int ).
tff(func_def_43,type,
quadRes: int > fun_int_bool ).
tff(func_def_44,type,
sr: int > fun_int_bool ).
tff(func_def_45,type,
standardRes: ( int * int ) > int ).
tff(func_def_46,type,
dvd_dvd_int: fun_int_fun_int_bool ).
tff(func_def_47,type,
dvd_dvd_nat: fun_nat_fun_nat_bool ).
tff(func_def_48,type,
dvd_dvd_real: fun_re413263731l_bool ).
tff(func_def_49,type,
collect_int: fun_int_bool > fun_int_bool ).
tff(func_def_50,type,
twoSqu820444569sum2sq: fun_int_bool ).
tff(func_def_51,type,
twoSqu949963151sum2sq: product_prod_int_int > int ).
tff(func_def_52,type,
inv: ( int * int ) > int ).
tff(func_def_53,type,
wset: ( int * int ) > fun_int_bool ).
tff(func_def_54,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_55,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_56,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_57,type,
hAPP_int_bool: ( fun_int_bool * int ) > bool ).
tff(func_def_58,type,
hAPP_int_int: ( fun_int_int * int ) > int ).
tff(func_def_59,type,
hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).
tff(func_def_60,type,
hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_61,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_62,type,
hAPP_nat_int: ( fun_nat_int * nat ) > int ).
tff(func_def_63,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_64,type,
hAPP_nat_real: ( fun_nat_real * nat ) > real ).
tff(func_def_65,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_66,type,
hAPP_real_bool: ( fun_real_bool * real ) > bool ).
tff(func_def_67,type,
hAPP_real_real: ( fun_real_real * real ) > real ).
tff(func_def_68,type,
hAPP_r1134773055l_bool: ( fun_re413263731l_bool * real ) > fun_real_bool ).
tff(func_def_69,type,
member_int: ( int * fun_int_bool ) > bool ).
tff(func_def_70,type,
m: int ).
tff(func_def_71,type,
s1: int ).
tff(func_def_72,type,
s: int ).
tff(func_def_73,type,
t: int ).
tff(func_def_74,type,
sK19: int ).
tff(func_def_75,type,
sK20: int ).
tff(func_def_76,type,
sK21: int ).
tff(func_def_77,type,
sK22: int > int ).
tff(func_def_78,type,
sK23: int > int ).
tff(func_def_79,type,
sK24: int > int ).
tff(func_def_80,type,
sK25: int > int ).
tff(func_def_81,type,
sK26: ( nat * fun_nat_bool ) > nat ).
tff(func_def_82,type,
sK27: ( nat * fun_nat_bool ) > nat ).
tff(func_def_83,type,
sK28: ( int * int ) > int ).
tff(func_def_84,type,
sK29: ( real * nat ) > real ).
tff(func_def_85,type,
sK30: ( real * nat ) > real ).
tff(func_def_86,type,
sK31: ( int * int ) > int ).
tff(func_def_87,type,
sK32: ( nat * nat ) > nat ).
tff(func_def_88,type,
sK33: fun_int_bool > int ).
tff(func_def_89,type,
sK34: ( int * int ) > int ).
tff(func_def_90,type,
sK35: ( nat * nat ) > nat ).
tff(func_def_91,type,
sK36: ( int * int ) > int ).
tff(func_def_92,type,
sK37: ( nat * nat ) > nat ).
tff(func_def_93,type,
sK38: ( fun_int_bool * int ) > int ).
tff(func_def_94,type,
sK39: ( fun_int_bool * int ) > int ).
tff(func_def_95,type,
sK40: ( fun_int_bool * int ) > int ).
tff(func_def_96,type,
sK41: ( fun_int_bool * int ) > int ).
tff(func_def_97,type,
sK42: ( fun_int_bool * int ) > int ).
tff(func_def_98,type,
sK43: ( fun_int_bool * int ) > int ).
tff(func_def_99,type,
sK44: fun_nat_nat > nat ).
tff(func_def_100,type,
sK45: fun_nat_nat > nat ).
tff(func_def_101,type,
sK46: ( int * int * int ) > int ).
tff(func_def_102,type,
sK47: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_103,type,
sK48: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_104,type,
sK49: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_105,type,
sK50: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_106,type,
sK51: ( fun_int_bool * int * int ) > int ).
tff(func_def_107,type,
sK52: ( fun_int_bool * int * int ) > int ).
tff(func_def_108,type,
sK53: ( fun_int_bool * int * int ) > int ).
tff(func_def_109,type,
sK54: ( fun_int_bool * int * int ) > int ).
tff(func_def_110,type,
sK55: int ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP0: int > $o ).
tff(pred_def_3,type,
sP1: ( int * int ) > $o ).
tff(pred_def_4,type,
sP2: ( real * real ) > $o ).
tff(pred_def_5,type,
sP3: ( real * real ) > $o ).
tff(pred_def_6,type,
sP4: ( int * int ) > $o ).
tff(pred_def_7,type,
sP5: ( int * int ) > $o ).
tff(pred_def_8,type,
sP6: ( bool * int * bool ) > $o ).
tff(pred_def_9,type,
sP7: ( bool * int * bool ) > $o ).
tff(pred_def_10,type,
sP8: ( nat * nat * fun_nat_fun_nat_bool ) > $o ).
tff(pred_def_11,type,
sP9: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_12,type,
sP10: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_13,type,
sP11: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_14,type,
sP12: ( fun_int_bool * int * int ) > $o ).
tff(pred_def_15,type,
sP13: ( fun_int_bool * int * int ) > $o ).
tff(pred_def_16,type,
sP14: ( int * int * fun_int_bool ) > $o ).
tff(pred_def_17,type,
sP15: ( real * real * real ) > $o ).
tff(pred_def_18,type,
sP16: ( real * real * real ) > $o ).
tff(pred_def_19,type,
sP17: ( int * int * int ) > $o ).
tff(pred_def_20,type,
sP18: ( int * int * int ) > $o ).
tff(f7172,plain,
$false,
inference(resolution,[],[f5688,f5635]) ).
tff(f5635,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),zero_zero_int)),
inference(backward_demodulation,[],[f5596,f5633]) ).
tff(f5633,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),one_one_int),
inference(forward_demodulation,[],[f5632,f5595]) ).
tff(f5595,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(zero_zero_int))),
inference(forward_demodulation,[],[f3720,f3660]) ).
tff(f3660,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f173]) ).
tff(f173,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_Pls__def) ).
tff(f3720,plain,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f88]) ).
tff(f88,axiom,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_nat__1__add__1) ).
tff(f5632,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int),
inference(forward_demodulation,[],[f5631,f5623]) ).
tff(f5623,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,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(zero_zero_int))))),m)),one_one_int)),t),
inference(forward_demodulation,[],[f3738,f3660]) ).
tff(f3738,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) = twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)),
inference(cnf_transformation,[],[f1069]) ).
tff(f1069,axiom,
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) = twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
tff(f5631,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),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(zero_zero_int))))),m)),one_one_int)),t),
inference(forward_demodulation,[],[f3742,f3660]) ).
tff(f3742,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(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
tff(f5596,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),one_one_int)),zero_zero_int)),
inference(backward_demodulation,[],[f5553,f5595]) ).
tff(f5553,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(zero_zero_int))))),one_one_int)),zero_zero_int)),
inference(forward_demodulation,[],[f3649,f3660]) ).
tff(f3649,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(cnf_transformation,[],[f1207]) ).
tff(f1207,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(flattening,[],[f1206]) ).
tff(f1206,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)),
inference(negated_conjecture,[],[f1205]) ).
tff(f1205,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/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f5688,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),zero_zero_int)),
inference(backward_demodulation,[],[f5673,f3793]) ).
tff(f3793,plain,
! [X0: int] : ( zero_zero_int = hAPP_int_int(times_times_int(X0),zero_zero_int) ),
inference(cnf_transformation,[],[f1247]) ).
tff(f1247,plain,
! [X0: int] : ( zero_zero_int = hAPP_int_int(times_times_int(X0),zero_zero_int) ),
inference(rectify,[],[f507]) ).
tff(f507,axiom,
! [X220: int] : ( zero_zero_int = hAPP_int_int(times_times_int(X220),zero_zero_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_506_mult__zero__right) ).
tff(f5673,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(bit0(bit0(bit1(zero_zero_int)))),m)),one_one_int)),zero_zero_int))),
inference(backward_demodulation,[],[f5645,f3762]) ).
tff(f3762,plain,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
inference(cnf_transformation,[],[f1216]) ).
tff(f1216,plain,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X10: int] : ( number_number_of_int(X10) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_number__of__is__id) ).
tff(f5645,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,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(zero_zero_int))))),m)),one_one_int)),zero_zero_int))),
inference(forward_demodulation,[],[f5644,f5623]) ).
tff(f5644,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(zero_zero_int))))),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(zero_zero_int))))),m)),one_one_int)),zero_zero_int))),
inference(forward_demodulation,[],[f3746,f3660]) ).
tff(f3746,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(cnf_transformation,[],[f3]) ).
tff(f3,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/sandbox/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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM924_3 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 15:04:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (19499)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.45 % (19503)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.46 % (19502)WARNING: value z3 for option sas not known
% 0.20/0.46 % (19500)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.46 % (19501)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.46 % (19502)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.46 % (19504)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.46 % (19505)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.46 % (19506)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 1.38/0.62 % (19505)First to succeed.
% 1.38/0.62 % (19505)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19499"
% 1.38/0.62 % (19505)Refutation found. Thanks to Tanya!
% 1.38/0.62 % SZS status Theorem for theBenchmark
% 1.38/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.62 % (19505)------------------------------
% 1.38/0.62 % (19505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.38/0.62 % (19505)Termination reason: Refutation
% 1.38/0.62
% 1.38/0.62 % (19505)Memory used [KB]: 5215
% 1.38/0.62 % (19505)Time elapsed: 0.163 s
% 1.38/0.62 % (19505)Instructions burned: 345 (million)
% 1.38/0.62 % (19499)Success in time 0.254 s
%------------------------------------------------------------------------------