%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM925_3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:26:09 PM UTC 2026
% Result : Theorem 0.07s 0.43s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 37 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 13 ~; 4 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 14 ( 13 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 108 ( 108 usr; 44 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?; 30 :)
% 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_int_bool: $tType ).
tff(type_def_10,type,
fun_int_fun_int_bool: $tType ).
tff(type_def_11,type,
fun_nat_bool: $tType ).
tff(type_def_12,type,
fun_nat_int: $tType ).
tff(type_def_13,type,
fun_nat_nat: $tType ).
tff(type_def_14,type,
fun_nat_real: $tType ).
tff(type_def_15,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_16,type,
fun_real_bool: $tType ).
tff(type_def_17,type,
fun_re413263731l_bool: $tType ).
tff(func_def_0,type,
abs_abs_int: int > int ).
tff(func_def_1,type,
abs_abs_real: real > real ).
tff(func_def_2,type,
minus_minus_int: ( int * int ) > int ).
tff(func_def_3,type,
minus_minus_nat: ( nat * nat ) > nat ).
tff(func_def_4,type,
minus_minus_real: ( real * real ) > real ).
tff(func_def_5,type,
one_one_int: int ).
tff(func_def_6,type,
one_one_nat: nat ).
tff(func_def_7,type,
one_one_real: real ).
tff(func_def_8,type,
plus_plus_int: ( int * int ) > int ).
tff(func_def_9,type,
plus_plus_nat: ( nat * nat ) > nat ).
tff(func_def_10,type,
plus_plus_real: ( real * real ) > real ).
tff(func_def_11,type,
times_times_int: ( int * int ) > int ).
tff(func_def_12,type,
times_times_nat: ( nat * nat ) > nat ).
tff(func_def_13,type,
times_times_real: ( real * real ) > real ).
tff(func_def_14,type,
zero_zero_int: int ).
tff(func_def_15,type,
zero_zero_nat: nat ).
tff(func_def_16,type,
zero_zero_real: real ).
tff(func_def_17,type,
if_int: ( bool * int * int ) > int ).
tff(func_def_18,type,
if_nat: ( bool * nat * nat ) > nat ).
tff(func_def_19,type,
zcong: ( int * int ) > fun_int_bool ).
tff(func_def_20,type,
zprime: fun_int_bool ).
tff(func_def_21,type,
bit0: int > int ).
tff(func_def_22,type,
bit1: int > int ).
tff(func_def_23,type,
min: int ).
tff(func_def_24,type,
pls: int ).
tff(func_def_25,type,
nat_1: int > nat ).
tff(func_def_26,type,
number_number_of_int: int > int ).
tff(func_def_27,type,
number_number_of_nat: int > nat ).
tff(func_def_28,type,
number267125858f_real: int > real ).
tff(func_def_29,type,
succ: int > int ).
tff(func_def_30,type,
semiri1621563631at_int: fun_nat_int ).
tff(func_def_31,type,
semiri984289939at_nat: fun_nat_nat ).
tff(func_def_32,type,
semiri132038758t_real: fun_nat_real ).
tff(func_def_33,type,
ord_less_int: fun_int_fun_int_bool ).
tff(func_def_34,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_35,type,
ord_less_real: fun_re413263731l_bool ).
tff(func_def_36,type,
ord_less_eq_int: fun_int_fun_int_bool ).
tff(func_def_37,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_38,type,
ord_less_eq_real: fun_re413263731l_bool ).
tff(func_def_39,type,
power_power_int: int > fun_nat_int ).
tff(func_def_40,type,
power_power_nat: nat > fun_nat_nat ).
tff(func_def_41,type,
power_power_real: real > fun_nat_real ).
tff(func_def_42,type,
legendre: ( int * int ) > int ).
tff(func_def_43,type,
quadRes: int > fun_int_bool ).
tff(func_def_44,type,
dvd_dvd_int: fun_int_fun_int_bool ).
tff(func_def_45,type,
dvd_dvd_nat: fun_nat_fun_nat_bool ).
tff(func_def_46,type,
twoSqu820444569sum2sq: fun_int_bool ).
tff(func_def_47,type,
fFalse: bool ).
tff(func_def_48,type,
fTrue: bool ).
tff(func_def_49,type,
hAPP_int_bool: ( fun_int_bool * int ) > bool ).
tff(func_def_50,type,
hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_51,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_52,type,
hAPP_nat_int: ( fun_nat_int * nat ) > int ).
tff(func_def_53,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_54,type,
hAPP_nat_real: ( fun_nat_real * nat ) > real ).
tff(func_def_55,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_56,type,
hAPP_real_bool: ( fun_real_bool * real ) > bool ).
tff(func_def_57,type,
hAPP_r1134773055l_bool: ( fun_re413263731l_bool * real ) > fun_real_bool ).
tff(func_def_58,type,
m: int ).
tff(func_def_59,type,
m1: int ).
tff(func_def_60,type,
n: nat ).
tff(func_def_61,type,
s1: int ).
tff(func_def_62,type,
s: int ).
tff(func_def_63,type,
t: int ).
tff(func_def_64,type,
tn: nat ).
tff(func_def_65,type,
x: int ).
tff(func_def_66,type,
y: int ).
tff(func_def_67,type,
sK0: ( fun_int_bool * int ) > int ).
tff(func_def_68,type,
sK1: int > nat ).
tff(func_def_69,type,
sK2: ( nat * nat ) > nat ).
tff(func_def_70,type,
sK3: ( real * nat ) > real ).
tff(func_def_71,type,
sK4: ( real * nat ) > real ).
tff(func_def_72,type,
sK5: fun_nat_bool > nat ).
tff(func_def_73,type,
sK6: fun_nat_bool > int ).
tff(func_def_74,type,
sK7: fun_nat_bool > nat ).
tff(func_def_75,type,
sK8: fun_nat_bool > int ).
tff(func_def_76,type,
sK9: fun_int_bool > int ).
tff(func_def_77,type,
sK10: fun_int_bool > nat ).
tff(func_def_78,type,
sK11: fun_int_bool > int ).
tff(func_def_79,type,
sK12: fun_int_bool > nat ).
tff(func_def_80,type,
sK13: ( int * int ) > nat ).
tff(func_def_81,type,
sK14: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_82,type,
sK15: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_83,type,
sK16: ( fun_nat_bool * int ) > nat ).
tff(func_def_84,type,
sK17: int ).
tff(func_def_85,type,
sK18: int ).
tff(func_def_86,type,
sK19: int ).
tff(func_def_87,type,
sK20: int ).
tff(func_def_88,type,
sK21: ( nat * nat ) > nat ).
tff(func_def_89,type,
sK22: int ).
tff(func_def_90,type,
sK23: int ).
tff(func_def_91,type,
sK24: int ).
tff(func_def_92,type,
sK25: int ).
tff(func_def_93,type,
sK26: ( int * int ) > int ).
tff(func_def_94,type,
sK27: ( int * int * int ) > int ).
tff(func_def_95,type,
sK28: int > int ).
tff(func_def_96,type,
sK29: int ).
tff(func_def_97,type,
sK30: int ).
tff(func_def_98,type,
sK31: int ).
tff(func_def_99,type,
sK32: int ).
tff(func_def_100,type,
sK33: ( int * int ) > int ).
tff(func_def_101,type,
sK34: ( fun_int_bool * int ) > int ).
tff(func_def_102,type,
sK35: ( nat * fun_nat_bool ) > nat ).
tff(func_def_103,type,
sK36: ( fun_int_bool * int ) > int ).
tff(func_def_104,type,
sK37: ( fun_nat_int * nat ) > nat ).
tff(func_def_105,type,
sK38: ( int * fun_nat_int * nat ) > nat ).
tff(func_def_106,type,
sK39: ( fun_nat_int * nat ) > nat ).
tff(func_def_107,type,
sK40: ( int * fun_nat_int * nat ) > nat ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(f68,axiom,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_zadd__commute) ).
tff(f84,axiom,
! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_int__less__0__conv) ).
tff(f99,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_Pls__def) ).
tff(f104,axiom,
! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_Bit0__def) ).
tff(f129,axiom,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_Bit1__def) ).
tff(f232,axiom,
! [X0: nat,X1: int] :
( ( X1 != zero_zero_int )
=> ( hAPP_nat_int(power_power_int(X1),X0) != zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_field__power__not__zero) ).
tff(f605,axiom,
! [X0: int,X1: int] : ( minus_minus_int(plus_plus_int(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_604_add__diff__cancel) ).
tff(f767,axiom,
! [X0: int] : ( nat_1(number_number_of_int(X0)) = number_number_of_nat(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_766_nat__number__of) ).
tff(f815,axiom,
! [X0: int] : ( succ(X0) = plus_plus_int(X0,one_one_int) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_814_succ__def) ).
tff(f1003,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1002_rel__simps_I6_J) ).
tff(f1021,axiom,
succ(min) = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1020_succ__Min) ).
tff(f1205,conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f1206,negated_conjecture,
( ( ~ hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) ) != zero_zero_int ),
inference(negated_conjecture,[status(cth)],[f1205]) ).
tff(f1213,plain,
zero_zero_int = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
inference(flattening,[],[f1206]) ).
tff(f1261,plain,
! [X0: nat,X1: int] :
( ( hAPP_nat_int(power_power_int(X1),X0) != zero_zero_int )
| ( zero_zero_int = X1 ) ),
inference(ennf_transformation,[],[f232]) ).
tff(f2027,plain,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
tff(f2057,plain,
! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),zero_zero_int)),
inference(cnf_transformation,[],[f84]) ).
tff(f2081,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f99]) ).
tff(f2086,plain,
! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
inference(cnf_transformation,[],[f104]) ).
tff(f2117,plain,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
inference(cnf_transformation,[],[f129]) ).
tff(f2263,plain,
! [X0: nat,X1: int] :
( ( zero_zero_int = X1 )
| ( zero_zero_int != hAPP_nat_int(power_power_int(X1),X0) ) ),
inference(cnf_transformation,[],[f1261]) ).
tff(f2750,plain,
! [X0: int,X1: int] : ( minus_minus_int(plus_plus_int(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f605]) ).
tff(f2977,plain,
! [X0: int] : ( number_number_of_nat(X0) = nat_1(number_number_of_int(X0)) ),
inference(cnf_transformation,[],[f767]) ).
tff(f3065,plain,
! [X0: int] : ( plus_plus_int(X0,one_one_int) = succ(X0) ),
inference(cnf_transformation,[],[f815]) ).
tff(f3330,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
inference(cnf_transformation,[],[f1003]) ).
tff(f3354,plain,
pls = succ(min),
inference(cnf_transformation,[],[f1021]) ).
tff(f3627,plain,
zero_zero_int = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f1213]) ).
tff(f3712,plain,
! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),pls)),
inference(definition_unfolding,[],[f2057,f2081]) ).
tff(f3802,plain,
! [X0: nat,X1: int] :
( ( pls != hAPP_nat_int(power_power_int(X1),X0) )
| ( pls = X1 ) ),
inference(definition_unfolding,[],[f2263,f2081,f2081]) ).
tff(f4129,plain,
pls = plus_plus_int(min,one_one_int),
inference(definition_unfolding,[],[f3354,f3065]) ).
tff(f4226,plain,
pls = hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat_1(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(definition_unfolding,[],[f3627,f2081,f2977,f2086,f2117]) ).
tff(f4486,plain,
! [X0: nat] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),pls)),
inference(consistent_polarity_flipping,[],[f3712]) ).
tff(f5266,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
inference(consistent_polarity_flipping,[],[f3330]) ).
tff(f5773,plain,
! [X0: int,X1: int] : ( minus_minus_int(plus_plus_int(X0,X1),X0) = X1 ),
inference(superposition,[],[f2750,f2027]) ).
tff(f5776,plain,
min = minus_minus_int(pls,one_one_int),
inference(superposition,[],[f2750,f4129]) ).
tff(f6168,plain,
( ( pls != pls )
| ( plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)) = pls ) ),
inference(superposition,[],[f3802,f4226]) ).
tff(f6173,plain,
plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)) = pls,
inference(trivial_inequality_removal,[],[f6168]) ).
tff(f6182,plain,
hAPP_nat_int(semiri1621563631at_int,n) = minus_minus_int(pls,one_one_int),
inference(superposition,[],[f5773,f6173]) ).
tff(f6184,plain,
hAPP_nat_int(semiri1621563631at_int,n) = min,
inference(forward_demodulation,[],[f6182,f5776]) ).
tff(f6195,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)),
inference(superposition,[],[f4486,f6184]) ).
tff(f6201,plain,
$false,
inference(forward_subsumption_resolution,[],[f6195,f5266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM925_3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 21:42:50 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.43 % (2775667)Will run a generic schedule for satisfiability detection.
% 0.07/0.43 % (2775673)% WARNING: option uhcvi not known.
% 0.07/0.43 % (2775675)dis+10_1_sil=32000:sp=arity:random_seed=655088822:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.43 % (2775672)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1657929734_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.43 % (2775674)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3296293611:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.43 % (2775673)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2055712651:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.43 % (2775676)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4027344741:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.43 % (2775677)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3028594746:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.43 % (2775678)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=177517892:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.43 % (2775675)Instruction limit reached!
% 0.07/0.43 % (2775675)------------------------------
% 0.07/0.43 % (2775675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.43 % (2775675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.43 % (2775675)CaDiCaL version: 2.1.3
% 0.07/0.43 % (2775675)Termination reason: Instruction limit
% 0.07/0.43 % (2775675)Termination phase: Saturation
% 0.07/0.43 % (2775675)Time elapsed: 0.026 s
% 0.07/0.43 % (2775675)Peak memory usage: 13 MB
% 0.07/0.43 % (2775675)Instructions burned: 104 (million)
% 0.07/0.43 % (2775676)Instruction limit reached!
% 0.07/0.43 % (2775676)------------------------------
% 0.07/0.43 % (2775676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.43 % (2775676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.43 % (2775676)CaDiCaL version: 2.1.3
% 0.07/0.43 % (2775676)Termination reason: Instruction limit
% 0.07/0.43 % (2775676)Termination phase: Property scanning
% 0.07/0.43 % (2775676)Time elapsed: 0.029 s
% 0.07/0.43 % (2775676)Peak memory usage: 13 MB
% 0.07/0.43 % (2775676)Instructions burned: 118 (million)
% 0.07/0.43 % (2775686)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3739380624:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.07/0.43 % (2775677)Instruction limit reached!
% 0.07/0.43 % (2775677)------------------------------
% 0.07/0.43 % (2775677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.43 % (2775677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.43 % (2775677)CaDiCaL version: 2.1.3
% 0.07/0.43 % (2775677)Termination reason: Instruction limit
% 0.07/0.43 % (2775677)Termination phase: Saturation
% 0.07/0.43 % (2775677)Time elapsed: 0.038 s
% 0.07/0.43 % (2775677)Peak memory usage: 14 MB
% 0.07/0.43 % (2775677)Instructions burned: 144 (million)
% 0.07/0.43 % (2775687)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1454031575:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.43 % (2775673) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2775667-2775673"...
% 0.07/0.43 % (2775673)...printing done.
% 0.07/0.43 % (2775673)Refutation found. Thanks to Tanya!
% 0.07/0.43 % SZS status Theorem for theBenchmark
% 0.07/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.43 % (2775673)------------------------------
% 0.07/0.43 % (2775673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.43 % (2775673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.43 % (2775673)CaDiCaL version: 2.1.3
% 0.07/0.43 % (2775673)Termination reason: Refutation
% 0.07/0.43 % (2775673)Time elapsed: 0.041 s
% 0.07/0.43 % (2775673)Peak memory usage: 15 MB
% 0.07/0.43 % (2775673)Instructions burned: 139 (million)
% 0.07/0.43 % (2775667)Success in time 0.092 s
% 0.07/0.43 % Vampire exiting
%------------------------------------------------------------------------------