TSTP Solution File: NUM925_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM925_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 08:16:38 EDT 2024
% Result : Theorem 0.83s 1.01s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 123
% Syntax : Number of formulae : 161 ( 42 unt; 103 typ; 0 def)
% Number of atoms : 84 ( 58 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 56 ( 30 ~; 16 |; 6 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 79 ( 47 >; 32 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 87 ( 87 usr; 43 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?; 38 :)
% 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,
sK2: ( fun_int_bool * int ) > int ).
tff(func_def_68,type,
sK3: ( fun_int_bool * int ) > int ).
tff(func_def_69,type,
sK4: ( fun_nat_bool * int ) > nat ).
tff(func_def_70,type,
sK5: ( int * int ) > nat ).
tff(func_def_71,type,
sK6: fun_int_bool > nat ).
tff(func_def_72,type,
sK7: fun_int_bool > int ).
tff(func_def_73,type,
sK8: fun_int_bool > int ).
tff(func_def_74,type,
sK9: fun_int_bool > nat ).
tff(func_def_75,type,
sK10: int > nat ).
tff(func_def_76,type,
sK11: int ).
tff(func_def_77,type,
sK12: int ).
tff(func_def_78,type,
sF13: int ).
tff(func_def_79,type,
sF14: int ).
tff(func_def_80,type,
sF15: fun_nat_int ).
tff(func_def_81,type,
sF16: int ).
tff(func_def_82,type,
sF17: int ).
tff(func_def_83,type,
sF18: int ).
tff(func_def_84,type,
sF19: int ).
tff(func_def_85,type,
sF20: nat ).
tff(func_def_86,type,
sF21: int ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP0: ( bool * int * bool ) > $o ).
tff(pred_def_3,type,
sP1: ( bool * int * bool ) > $o ).
tff(f3775,plain,
$false,
inference(avatar_sat_refutation,[],[f3664,f3674,f3774]) ).
tff(f3774,plain,
~ spl22_7,
inference(avatar_contradiction_clause,[],[f3773]) ).
tff(f3773,plain,
( $false
| ~ spl22_7 ),
inference(subsumption_resolution,[],[f3770,f2900]) ).
tff(f2900,plain,
pls = sF21,
inference(definition_folding,[],[f2442,f2899,f2898,f2897,f2896,f2895,f2894,f2895,f2894,f2893,f2892,f2891]) ).
tff(f2891,plain,
hAPP_nat_int(semiri1621563631at_int,n) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
tff(f2892,plain,
plus_plus_int(one_one_int,sF13) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
tff(f2893,plain,
power_power_int(sF14) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
tff(f2894,plain,
plus_plus_int(one_one_int,pls) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
tff(f2895,plain,
plus_plus_int(sF16,pls) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
tff(f2896,plain,
plus_plus_int(sF17,sF17) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
tff(f2897,plain,
number_number_of_int(sF18) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
tff(f2898,plain,
nat_1(sF19) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
tff(f2899,plain,
hAPP_nat_int(sF15,sF20) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
tff(f2442,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,[],[f1875,f2152,f2285,f2057,f1946]) ).
tff(f1946,plain,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
inference(cnf_transformation,[],[f1252]) ).
tff(f1252,plain,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
inference(rectify,[],[f129]) ).
tff(f129,axiom,
! [X18: int] : ( bit1(X18) = plus_plus_int(plus_plus_int(one_one_int,X18),X18) ),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_128_Bit1__def) ).
tff(f2057,plain,
! [X0: int] : ( plus_plus_int(X0,X0) = bit0(X0) ),
inference(cnf_transformation,[],[f1329]) ).
tff(f1329,plain,
! [X0: int] : ( plus_plus_int(X0,X0) = bit0(X0) ),
inference(rectify,[],[f104]) ).
tff(f104,axiom,
! [X18: int] : ( bit0(X18) = plus_plus_int(X18,X18) ),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_103_Bit0__def) ).
tff(f2285,plain,
! [X0: int] : ( number_number_of_nat(X0) = nat_1(number_number_of_int(X0)) ),
inference(cnf_transformation,[],[f1447]) ).
tff(f1447,plain,
! [X0: int] : ( number_number_of_nat(X0) = nat_1(number_number_of_int(X0)) ),
inference(rectify,[],[f768]) ).
tff(f768,axiom,
! [X10: int] : ( number_number_of_nat(X10) = nat_1(number_number_of_int(X10)) ),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_767_nat__number__of__def) ).
tff(f2152,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f99]) ).
tff(f99,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_98_Pls__def) ).
tff(f1875,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,[],[f1207]) ).
tff(f1207,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(f1206,negated_conjecture,
( ~ 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(negated_conjecture,[],[f1205]) ).
tff(f1205,conjecture,
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)))),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',conj_0) ).
tff(f3770,plain,
( ( pls != sF21 )
| ~ spl22_7 ),
inference(superposition,[],[f3663,f2899]) ).
tff(f3663,plain,
( ! [X0: nat] : ( pls != hAPP_nat_int(sF15,X0) )
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f3662]) ).
tff(f3662,plain,
( spl22_7
<=> ! [X0: nat] : ( pls != hAPP_nat_int(sF15,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
tff(f3674,plain,
~ spl22_6,
inference(avatar_contradiction_clause,[],[f3673]) ).
tff(f3673,plain,
( $false
| ~ spl22_6 ),
inference(subsumption_resolution,[],[f3670,f3599]) ).
tff(f3599,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,sF13),pls)),
inference(superposition,[],[f2804,f2891]) ).
tff(f2804,plain,
! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),pls)),
inference(definition_unfolding,[],[f2381,f2152]) ).
tff(f2381,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,[],[f1483]) ).
tff(f1483,plain,
! [X0: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X0)),zero_zero_int)),
inference(rectify,[],[f288]) ).
tff(f288,axiom,
! [X85: nat] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X85)),zero_zero_int)),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_287_of__nat__less__0__iff) ).
tff(f3670,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,sF13),pls))
| ~ spl22_6 ),
inference(superposition,[],[f3611,f3660]) ).
tff(f3660,plain,
( ( pls = sF14 )
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f3658]) ).
tff(f3658,plain,
( spl22_6
<=> ( pls = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
tff(f3611,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,sF13),sF14)),
inference(superposition,[],[f3489,f2892]) ).
tff(f3489,plain,
! [X0: int] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),plus_plus_int(one_one_int,X0))),
inference(superposition,[],[f1927,f2026]) ).
tff(f2026,plain,
! [X0: int,X1: int] : ( plus_plus_int(X1,X0) = plus_plus_int(X0,X1) ),
inference(cnf_transformation,[],[f1302]) ).
tff(f1302,plain,
! [X0: int,X1: int] : ( plus_plus_int(X1,X0) = plus_plus_int(X0,X1) ),
inference(rectify,[],[f350]) ).
tff(f350,axiom,
! [X123: int,X124: int] : ( plus_plus_int(X123,X124) = plus_plus_int(X124,X123) ),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f1927,plain,
! [X0: int] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),plus_plus_int(X0,one_one_int))),
inference(cnf_transformation,[],[f1244]) ).
tff(f1244,plain,
! [X0: int] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),plus_plus_int(X0,one_one_int))),
inference(rectify,[],[f270]) ).
tff(f270,axiom,
! [X77: int] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X77),plus_plus_int(X77,one_one_int))),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_269_less__add__one) ).
tff(f3664,plain,
( spl22_6
| spl22_7 ),
inference(avatar_split_clause,[],[f3651,f3662,f3658]) ).
tff(f3651,plain,
! [X0: nat] :
( ( pls != hAPP_nat_int(sF15,X0) )
| ( pls = sF14 ) ),
inference(superposition,[],[f2821,f2893]) ).
tff(f2821,plain,
! [X0: int,X1: nat] :
( ( pls != hAPP_nat_int(power_power_int(X0),X1) )
| ( pls = X0 ) ),
inference(definition_unfolding,[],[f2429,f2152,f2152]) ).
tff(f2429,plain,
! [X0: int,X1: nat] :
( ( zero_zero_int = X0 )
| ( zero_zero_int != hAPP_nat_int(power_power_int(X0),X1) ) ),
inference(cnf_transformation,[],[f1872]) ).
tff(f1872,plain,
! [X0: int,X1: nat] :
( ( ( zero_zero_int = hAPP_nat_int(power_power_int(X0),X1) )
| ( zero_zero_nat = X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_nat != X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != hAPP_nat_int(power_power_int(X0),X1) ) ) ),
inference(flattening,[],[f1871]) ).
tff(f1871,plain,
! [X0: int,X1: nat] :
( ( ( zero_zero_int = hAPP_nat_int(power_power_int(X0),X1) )
| ( zero_zero_nat = X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_nat != X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != hAPP_nat_int(power_power_int(X0),X1) ) ) ),
inference(nnf_transformation,[],[f1518]) ).
tff(f1518,plain,
! [X0: int,X1: nat] :
( ( zero_zero_int = hAPP_nat_int(power_power_int(X0),X1) )
<=> ( ( zero_zero_nat != X1 )
& ( zero_zero_int = X0 ) ) ),
inference(rectify,[],[f285]) ).
tff(f285,axiom,
! [X2: int,X15: nat] :
( ( zero_zero_int = hAPP_nat_int(power_power_int(X2),X15) )
<=> ( ( zero_zero_nat != X15 )
& ( zero_zero_int = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495',fact_284_power__eq__0__iff) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925_3 : TPTP v8.1.2. Released v5.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n014.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 : 300
% 0.14/0.35 % DateTime : Fri May 3 15:23:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.7iWbsEzXpP/Vampire---4.8_19495
% 0.79/0.94 % (19770)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.79/0.94 % (19768)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.79/0.94 % (19769)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.79/0.94 % (19771)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.79/0.94 % (19772)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.79/0.94 % (19773)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.79/0.94 % (19774)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.79/0.94 % (19775)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.79/0.96 % (19768)Instruction limit reached!
% 0.79/0.96 % (19768)------------------------------
% 0.79/0.96 % (19768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (19768)Termination reason: Unknown
% 0.79/0.96 % (19768)Termination phase: Function definition elimination
% 0.79/0.96
% 0.79/0.96 % (19768)Memory used [KB]: 2561
% 0.79/0.96 % (19768)Time elapsed: 0.017 s
% 0.79/0.96 % (19768)Instructions burned: 34 (million)
% 0.79/0.96 % (19768)------------------------------
% 0.79/0.96 % (19768)------------------------------
% 0.79/0.96 % (19771)Instruction limit reached!
% 0.79/0.96 % (19771)------------------------------
% 0.79/0.96 % (19771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (19771)Termination reason: Unknown
% 0.79/0.96 % (19771)Termination phase: Saturation
% 0.79/0.96
% 0.79/0.96 % (19771)Memory used [KB]: 2471
% 0.79/0.96 % (19772)Instruction limit reached!
% 0.79/0.96 % (19772)------------------------------
% 0.79/0.96 % (19772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (19772)Termination reason: Unknown
% 0.79/0.96 % (19772)Termination phase: Preprocessing 3
% 0.79/0.96
% 0.79/0.96 % (19772)Memory used [KB]: 3039
% 0.79/0.96 % (19772)Time elapsed: 0.017 s
% 0.79/0.96 % (19772)Instructions burned: 34 (million)
% 0.79/0.96 % (19772)------------------------------
% 0.79/0.96 % (19772)------------------------------
% 0.79/0.96 % (19771)Time elapsed: 0.017 s
% 0.79/0.96 % (19771)Instructions burned: 33 (million)
% 0.79/0.96 % (19771)------------------------------
% 0.79/0.96 % (19771)------------------------------
% 0.83/0.96 % (19776)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.83/0.96 % (19778)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.83/0.96 % (19777)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.83/0.96 % (19773)Instruction limit reached!
% 0.83/0.96 % (19773)------------------------------
% 0.83/0.96 % (19773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.96 % (19773)Termination reason: Unknown
% 0.83/0.96 % (19773)Termination phase: Function definition elimination
% 0.83/0.96
% 0.83/0.96 % (19773)Memory used [KB]: 2834
% 0.83/0.96 % (19773)Time elapsed: 0.021 s
% 0.83/0.96 % (19773)Instructions burned: 45 (million)
% 0.83/0.96 % (19773)------------------------------
% 0.83/0.96 % (19773)------------------------------
% 0.83/0.97 % (19769)Instruction limit reached!
% 0.83/0.97 % (19769)------------------------------
% 0.83/0.97 % (19769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.97 % (19779)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.83/0.97 % (19769)Termination reason: Unknown
% 0.83/0.97 % (19769)Termination phase: Property scanning
% 0.83/0.97
% 0.83/0.97 % (19769)Memory used [KB]: 3488
% 0.83/0.97 % (19769)Time elapsed: 0.025 s
% 0.83/0.97 % (19769)Instructions burned: 52 (million)
% 0.83/0.97 % (19769)------------------------------
% 0.83/0.97 % (19769)------------------------------
% 0.83/0.97 % (19775)Instruction limit reached!
% 0.83/0.97 % (19775)------------------------------
% 0.83/0.97 % (19775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.97 % (19775)Termination reason: Unknown
% 0.83/0.97 % (19775)Termination phase: Property scanning
% 0.83/0.97
% 0.83/0.97 % (19775)Memory used [KB]: 2707
% 0.83/0.97 % (19775)Time elapsed: 0.026 s
% 0.83/0.97 % (19775)Instructions burned: 58 (million)
% 0.83/0.97 % (19775)------------------------------
% 0.83/0.97 % (19775)------------------------------
% 0.83/0.97 % (19780)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2993ds/518Mi)
% 0.83/0.97 % (19781)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2993ds/42Mi)
% 0.83/0.98 % (19770)Instruction limit reached!
% 0.83/0.98 % (19770)------------------------------
% 0.83/0.98 % (19770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.98 % (19770)Termination reason: Unknown
% 0.83/0.98 % (19770)Termination phase: Saturation
% 0.83/0.98
% 0.83/0.98 % (19770)Memory used [KB]: 3189
% 0.83/0.98 % (19770)Time elapsed: 0.036 s
% 0.83/0.98 % (19770)Instructions burned: 78 (million)
% 0.83/0.98 % (19770)------------------------------
% 0.83/0.98 % (19770)------------------------------
% 0.83/0.98 % (19774)Instruction limit reached!
% 0.83/0.98 % (19774)------------------------------
% 0.83/0.98 % (19774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.98 % (19774)Termination reason: Unknown
% 0.83/0.98 % (19774)Termination phase: Property scanning
% 0.83/0.98
% 0.83/0.98 % (19774)Memory used [KB]: 3330
% 0.83/0.98 % (19774)Time elapsed: 0.038 s
% 0.83/0.98 % (19774)Instructions burned: 83 (million)
% 0.83/0.98 % (19774)------------------------------
% 0.83/0.98 % (19774)------------------------------
% 0.83/0.98 % (19782)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2993ds/243Mi)
% 0.83/0.98 % (19783)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2993ds/117Mi)
% 0.83/0.99 % (19777)Instruction limit reached!
% 0.83/0.99 % (19777)------------------------------
% 0.83/0.99 % (19777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.99 % (19777)Termination reason: Unknown
% 0.83/0.99 % (19777)Termination phase: Property scanning
% 0.83/0.99
% 0.83/0.99 % (19777)Memory used [KB]: 3488
% 0.83/0.99 % (19777)Time elapsed: 0.025 s
% 0.83/0.99 % (19777)Instructions burned: 51 (million)
% 0.83/0.99 % (19777)------------------------------
% 0.83/0.99 % (19777)------------------------------
% 0.83/0.99 % (19776)Instruction limit reached!
% 0.83/0.99 % (19776)------------------------------
% 0.83/0.99 % (19776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.99 % (19776)Termination reason: Unknown
% 0.83/0.99 % (19776)Termination phase: Property scanning
% 0.83/0.99
% 0.83/0.99 % (19776)Memory used [KB]: 3487
% 0.83/0.99 % (19776)Time elapsed: 0.026 s
% 0.83/0.99 % (19776)Instructions burned: 56 (million)
% 0.83/0.99 % (19776)------------------------------
% 0.83/0.99 % (19776)------------------------------
% 0.83/0.99 % (19779)Instruction limit reached!
% 0.83/0.99 % (19779)------------------------------
% 0.83/0.99 % (19779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.99 % (19779)Termination reason: Unknown
% 0.83/0.99 % (19779)Termination phase: Property scanning
% 0.83/0.99
% 0.83/0.99 % (19779)Memory used [KB]: 3046
% 0.83/0.99 % (19779)Time elapsed: 0.024 s
% 0.83/0.99 % (19779)Instructions burned: 52 (million)
% 0.83/0.99 % (19779)------------------------------
% 0.83/0.99 % (19779)------------------------------
% 0.83/0.99 % (19784)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2993ds/143Mi)
% 0.83/0.99 % (19785)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2993ds/93Mi)
% 0.83/0.99 % (19781)Instruction limit reached!
% 0.83/0.99 % (19781)------------------------------
% 0.83/0.99 % (19781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.99 % (19781)Termination reason: Unknown
% 0.83/0.99 % (19781)Termination phase: Property scanning
% 0.83/0.99
% 0.83/0.99 % (19781)Memory used [KB]: 3487
% 0.83/0.99 % (19781)Time elapsed: 0.021 s
% 0.83/0.99 % (19781)Instructions burned: 44 (million)
% 0.83/0.99 % (19781)------------------------------
% 0.83/0.99 % (19781)------------------------------
% 0.83/0.99 % (19786)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2993ds/62Mi)
% 0.83/0.99 % (19787)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2993ds/32Mi)
% 0.83/1.01 % (19787)Instruction limit reached!
% 0.83/1.01 % (19787)------------------------------
% 0.83/1.01 % (19787)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/1.01 % (19787)Termination reason: Unknown
% 0.83/1.01 % (19787)Termination phase: Preprocessing 2
% 0.83/1.01
% 0.83/1.01 % (19787)Memory used [KB]: 2623
% 0.83/1.01 % (19787)Time elapsed: 0.017 s
% 0.83/1.01 % (19787)Instructions burned: 32 (million)
% 0.83/1.01 % (19787)------------------------------
% 0.83/1.01 % (19787)------------------------------
% 0.83/1.01 % (19778)First to succeed.
% 0.83/1.01 % (19780)Also succeeded, but the first one will report.
% 0.83/1.01 % (19778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19701"
% 0.83/1.01 % (19788)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2993ds/1919Mi)
% 0.83/1.01 % (19778)Refutation found. Thanks to Tanya!
% 0.83/1.01 % SZS status Theorem for Vampire---4
% 0.83/1.01 % SZS output start Proof for Vampire---4
% See solution above
% 0.83/1.01 % (19778)------------------------------
% 0.83/1.01 % (19778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/1.01 % (19778)Termination reason: Refutation
% 0.83/1.01
% 0.83/1.01 % (19778)Memory used [KB]: 3022
% 0.83/1.01 % (19778)Time elapsed: 0.052 s
% 0.83/1.01 % (19778)Instructions burned: 111 (million)
% 0.83/1.01 % (19701)Success in time 0.644 s
% 0.83/1.02 % Vampire---4.8 exiting
%------------------------------------------------------------------------------