%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW613_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:30:57 PM UTC 2026
% Result : Theorem 3.45s 1.24s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 595 ( 48 equ)
% Maximal formula atoms : 65 ( 23 avg)
% Number of connectives : 818 ( 248 ~; 94 |; 362 &)
% ( 4 <=>; 110 =>; 0 <=; 0 <~>)
% Maximal formula depth : 59 ( 17 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 643 ( 315 atm; 16 fun; 179 num; 133 var)
% Number of types : 7 ( 5 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 60 ( 57 usr; 33 con; 0-5 aty)
% Number of variables : 154 ( 118 !; 36 ?; 154 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
list_int: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
abs: $int > $int ).
tff(func_def_14,type,
div: ( $int * $int ) > $int ).
tff(func_def_15,type,
mod: ( $int * $int ) > $int ).
tff(func_def_23,type,
gcd: ( $int * $int ) > $int ).
tff(func_def_24,type,
ref: ty > ty ).
tff(func_def_25,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_26,type,
contents: ( ty * uni ) > uni ).
tff(func_def_27,type,
list: ty > ty ).
tff(func_def_28,type,
nil: ty > uni ).
tff(func_def_29,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_30,type,
match_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_31,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_32,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_33,type,
t2tb: list_int > uni ).
tff(func_def_34,type,
tb2t: uni > list_int ).
tff(func_def_35,type,
t2tb1: $int > uni ).
tff(func_def_36,type,
tb2t1: uni > $int ).
tff(func_def_38,type,
sK0: $int > $int ).
tff(func_def_39,type,
sK1: $int > $int ).
tff(func_def_40,type,
sK2: $int > $int ).
tff(func_def_41,type,
sK3: ( $int * $int ) > $int ).
tff(func_def_42,type,
sK4: $int > $int ).
tff(func_def_43,type,
sK5: ( $int * $int * $int ) > $int ).
tff(func_def_44,type,
sK6: $int > $int ).
tff(func_def_45,type,
sK7: $int ).
tff(func_def_46,type,
sK8: $int ).
tff(func_def_47,type,
sK9: list_int ).
tff(func_def_48,type,
sK10: $int ).
tff(func_def_49,type,
sK11: list_int ).
tff(func_def_50,type,
sK12: $int ).
tff(func_def_51,type,
sK13: $int ).
tff(func_def_52,type,
sK14: $int ).
tff(func_def_53,type,
sK15: list_int ).
tff(func_def_54,type,
sK16: $int ).
tff(func_def_55,type,
sK17: $int ).
tff(func_def_56,type,
sF18: uni ).
tff(func_def_57,type,
sF19: uni ).
tff(func_def_58,type,
sF20: uni ).
tff(func_def_59,type,
sF21: list_int ).
tff(func_def_60,type,
sF22: $int ).
tff(func_def_61,type,
sF23: $int ).
tff(func_def_62,type,
sF24: $int ).
tff(func_def_63,type,
sF25: $int ).
tff(func_def_64,type,
sF26: uni ).
tff(func_def_65,type,
sF27: uni ).
tff(func_def_66,type,
sF28: uni ).
tff(func_def_67,type,
sF29: list_int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_4,type,
divides: ( $int * $int ) > $o ).
tff(pred_def_5,type,
even: $int > $o ).
tff(pred_def_6,type,
odd: $int > $o ).
tff(pred_def_7,type,
prime: $int > $o ).
tff(pred_def_8,type,
coprime: ( $int * $int ) > $o ).
tff(f88,axiom,
! [X0: $int] :
( prime(X0)
<=> ( ! [X1: $int] :
( ( $lesseq(1,X1)
& $less(X1,X0) )
=> coprime(X1,X0) )
& $lesseq(2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_coprime) ).
tff(f113,conjecture,
! [X0: $int] :
( $lesseq(2,X0)
=> ( ( ! [X1: $int] :
( ( $less(X1,2)
& $lesseq(2,X1) )
=> ~ divides(X1,X0) )
& $lesseq(2,X0)
& $lesseq(2,2)
& $lesseq(2,X0) )
=> ! [X2: $int] :
( ( $lesseq(X2,X0)
& $lesseq(2,X2)
& ! [X1: $int] :
( ( $less(X1,X2)
& $lesseq(2,X1) )
=> ~ divides(X1,X0) )
& divides(X2,X0) )
=> ! [X3: list_int] :
( ( X3 = tb2t(cons(int,t2tb1(X2),nil(int))) )
=> ( ( divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 ) )
=> ( ! [X1: $int] :
( ( divides(X1,X0)
& $less(X2,X1)
& prime(X1) )
=> ( divides(X1,div(X0,X2))
& coprime(X2,X1) ) )
=> ! [X4: $int,X5: $int,X6: list_int] :
( ( $lesseq(1,X4)
& $lesseq(2,X5)
& prime(X5)
& ! [X1: $int] :
( ( divides(X1,X0)
& prime(X1)
& $less(X5,X1) )
=> divides(X1,X4) )
& ! [X1: $int] :
( ( divides(X1,X4)
& $lesseq(2,X1) )
=> ( divides(X1,X0)
& $lesseq(X5,X1) ) )
& divides(X5,X0)
& $lesseq(X4,X0)
& $lesseq(X5,X0) )
=> ( $lesseq(2,X4)
=> ( ( $lesseq(X5,X4)
& $lesseq(2,X4)
& divides(X4,X4) )
=> ( ( $lesseq(2,X4)
& $lesseq(2,X5)
& ! [X1: $int] :
( ( $less(X1,X5)
& $lesseq(2,X1) )
=> ~ divides(X1,X4) )
& $lesseq(X5,X4) )
=> ! [X7: $int] :
( ( $lesseq(X7,X4)
& divides(X7,X4)
& ! [X1: $int] :
( ( $lesseq(2,X1)
& $less(X1,X7) )
=> ~ divides(X1,X4) )
& $lesseq(X5,X7) )
=> ( prime(X7)
=> ! [X8: $int] :
( ( X8 = X7 )
=> ! [X9: list_int] :
( ( X9 = tb2t(cons(int,t2tb1(X7),t2tb(X6))) )
=> ! [X10: $int] :
( ( X10 = div(X4,X7) )
=> ( ( ( $product(X10,X7) = X4 )
& divides(X10,X4) )
=> ! [X1: $int] :
( ( divides(X1,X0)
& $less(X7,X1)
& prime(X1) )
=> ( $less(X5,X1)
=> ( divides(X1,X4)
=> ( ( $lesseq(1,X7)
& $less(X7,X1) )
=> coprime(X7,X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_largest_prime_factor) ).
tff(f114,negated_conjecture,
~ ! [X0: $int] :
( $lesseq(2,X0)
=> ( ( ! [X1: $int] :
( ( $less(X1,2)
& $lesseq(2,X1) )
=> ~ divides(X1,X0) )
& $lesseq(2,X0)
& $lesseq(2,2)
& $lesseq(2,X0) )
=> ! [X2: $int] :
( ( $lesseq(X2,X0)
& $lesseq(2,X2)
& ! [X1: $int] :
( ( $less(X1,X2)
& $lesseq(2,X1) )
=> ~ divides(X1,X0) )
& divides(X2,X0) )
=> ! [X3: list_int] :
( ( X3 = tb2t(cons(int,t2tb1(X2),nil(int))) )
=> ( ( divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 ) )
=> ( ! [X1: $int] :
( ( divides(X1,X0)
& $less(X2,X1)
& prime(X1) )
=> ( divides(X1,div(X0,X2))
& coprime(X2,X1) ) )
=> ! [X4: $int,X5: $int,X6: list_int] :
( ( $lesseq(1,X4)
& $lesseq(2,X5)
& prime(X5)
& ! [X1: $int] :
( ( divides(X1,X0)
& prime(X1)
& $less(X5,X1) )
=> divides(X1,X4) )
& ! [X1: $int] :
( ( divides(X1,X4)
& $lesseq(2,X1) )
=> ( divides(X1,X0)
& $lesseq(X5,X1) ) )
& divides(X5,X0)
& $lesseq(X4,X0)
& $lesseq(X5,X0) )
=> ( $lesseq(2,X4)
=> ( ( $lesseq(X5,X4)
& $lesseq(2,X4)
& divides(X4,X4) )
=> ( ( $lesseq(2,X4)
& $lesseq(2,X5)
& ! [X1: $int] :
( ( $less(X1,X5)
& $lesseq(2,X1) )
=> ~ divides(X1,X4) )
& $lesseq(X5,X4) )
=> ! [X7: $int] :
( ( $lesseq(X7,X4)
& divides(X7,X4)
& ! [X1: $int] :
( ( $lesseq(2,X1)
& $less(X1,X7) )
=> ~ divides(X1,X4) )
& $lesseq(X5,X7) )
=> ( prime(X7)
=> ! [X8: $int] :
( ( X8 = X7 )
=> ! [X9: list_int] :
( ( X9 = tb2t(cons(int,t2tb1(X7),t2tb(X6))) )
=> ! [X10: $int] :
( ( X10 = div(X4,X7) )
=> ( ( ( $product(X10,X7) = X4 )
& divides(X10,X4) )
=> ! [X1: $int] :
( ( divides(X1,X0)
& $less(X7,X1)
& prime(X1) )
=> ( $less(X5,X1)
=> ( divides(X1,X4)
=> ( ( $lesseq(1,X7)
& $less(X7,X1) )
=> coprime(X7,X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f113]) ).
tff(f123,plain,
~ ! [X0: $int] :
( ~ $less(X0,2)
=> ( ( ~ $less(X0,2)
& ! [X1: $int] :
( ( $less(X1,2)
& ~ $less(X1,2) )
=> ~ divides(X1,X0) )
& ~ $less(2,2)
& ~ $less(X0,2) )
=> ! [X2: $int] :
( ( ~ $less(X0,X2)
& ~ $less(X2,2)
& ! [X1: $int] :
( ( $less(X1,X2)
& ~ $less(X1,2) )
=> ~ divides(X1,X0) )
& divides(X2,X0) )
=> ! [X3: list_int] :
( ( X3 = tb2t(cons(int,t2tb1(X2),nil(int))) )
=> ( ( divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 ) )
=> ( ! [X1: $int] :
( ( divides(X1,X0)
& $less(X2,X1)
& prime(X1) )
=> ( divides(X1,div(X0,X2))
& coprime(X2,X1) ) )
=> ! [X4: $int,X5: $int,X6: list_int] :
( ( ~ $less(X4,1)
& ~ $less(X5,2)
& prime(X5)
& ! [X1: $int] :
( ( divides(X1,X0)
& prime(X1)
& $less(X5,X1) )
=> divides(X1,X4) )
& ! [X1: $int] :
( ( divides(X1,X4)
& ~ $less(X1,2) )
=> ( divides(X1,X0)
& ~ $less(X1,X5) ) )
& divides(X5,X0)
& ~ $less(X0,X4)
& ~ $less(X0,X5) )
=> ( ~ $less(X4,2)
=> ( ( ~ $less(X4,X5)
& ~ $less(X4,2)
& divides(X4,X4) )
=> ( ( ~ $less(X4,2)
& ~ $less(X5,2)
& ! [X1: $int] :
( ( $less(X1,X5)
& ~ $less(X1,2) )
=> ~ divides(X1,X4) )
& ~ $less(X4,X5) )
=> ! [X7: $int] :
( ( ~ $less(X4,X7)
& divides(X7,X4)
& ! [X1: $int] :
( ( ~ $less(X1,2)
& $less(X1,X7) )
=> ~ divides(X1,X4) )
& ~ $less(X7,X5) )
=> ( prime(X7)
=> ! [X8: $int] :
( ( X8 = X7 )
=> ! [X9: list_int] :
( ( X9 = tb2t(cons(int,t2tb1(X7),t2tb(X6))) )
=> ! [X10: $int] :
( ( X10 = div(X4,X7) )
=> ( ( ( $product(X10,X7) = X4 )
& divides(X10,X4) )
=> ! [X1: $int] :
( ( divides(X1,X0)
& $less(X7,X1)
& prime(X1) )
=> ( $less(X5,X1)
=> ( divides(X1,X4)
=> ( ( ~ $less(X7,1)
& $less(X7,X1) )
=> coprime(X7,X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f114]) ).
tff(f134,plain,
! [X0: $int] :
( ( ! [X1: $int] :
( ( ~ $less(X1,1)
& $less(X1,X0) )
=> coprime(X1,X0) )
& ~ $less(X0,2) )
<=> prime(X0) ),
inference(theory_normalization,[],[f88]) ).
tff(f179,plain,
~ ! [X0: $int] :
( ~ $less(X0,2)
=> ( ( ~ $less(X0,2)
& ! [X1: $int] :
( ( $less(X1,2)
& ~ $less(X1,2) )
=> ~ divides(X1,X0) )
& ~ $less(2,2)
& ~ $less(X0,2) )
=> ! [X2: $int] :
( ( ~ $less(X2,2)
& ! [X3: $int] :
( ( $less(X3,X2)
& ~ $less(X3,2) )
=> ~ divides(X3,X0) )
& ~ $less(X0,X2)
& divides(X2,X0) )
=> ! [X4: list_int] :
( ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 )
=> ( ( divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 ) )
=> ( ! [X5: $int] :
( ( divides(X5,X0)
& prime(X5)
& $less(X2,X5) )
=> ( coprime(X2,X5)
& divides(X5,div(X0,X2)) ) )
=> ! [X8: list_int,X7: $int,X6: $int] :
( ( divides(X7,X0)
& ~ $less(X0,X6)
& ~ $less(X7,2)
& ~ $less(X6,1)
& ~ $less(X0,X7)
& ! [X10: $int] :
( ( ~ $less(X10,2)
& divides(X10,X6) )
=> ( divides(X10,X0)
& ~ $less(X10,X7) ) )
& prime(X7)
& ! [X9: $int] :
( ( $less(X7,X9)
& prime(X9)
& divides(X9,X0) )
=> divides(X9,X6) ) )
=> ( ~ $less(X6,2)
=> ( ( ~ $less(X6,2)
& ~ $less(X6,X7)
& divides(X6,X6) )
=> ( ( ~ $less(X7,2)
& ! [X11: $int] :
( ( ~ $less(X11,2)
& $less(X11,X7) )
=> ~ divides(X11,X6) )
& ~ $less(X6,2)
& ~ $less(X6,X7) )
=> ! [X12: $int] :
( ( ! [X13: $int] :
( ( ~ $less(X13,2)
& $less(X13,X12) )
=> ~ divides(X13,X6) )
& ~ $less(X12,X7)
& ~ $less(X6,X12)
& divides(X12,X6) )
=> ( prime(X12)
=> ! [X14: $int] :
( ( X12 = X14 )
=> ! [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X8))) = X15 )
=> ! [X16: $int] :
( ( div(X6,X12) = X16 )
=> ( ( ( $product(X16,X12) = X6 )
& divides(X16,X6) )
=> ! [X17: $int] :
( ( $less(X12,X17)
& divides(X17,X0)
& prime(X17) )
=> ( $less(X7,X17)
=> ( divides(X17,X6)
=> ( ( ~ $less(X12,1)
& $less(X12,X17) )
=> coprime(X12,X17) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f123]) ).
tff(f273,plain,
? [X0: $int] :
( ? [X2: $int] :
( ? [X4: list_int] :
( ? [X8: list_int,X7: $int,X6: $int] :
( ? [X12: $int] :
( ? [X14: $int] :
( ? [X15: list_int] :
( ? [X16: $int] :
( ? [X17: $int] :
( ~ coprime(X12,X17)
& ~ $less(X12,1)
& $less(X12,X17)
& divides(X17,X6)
& $less(X7,X17)
& $less(X12,X17)
& divides(X17,X0)
& prime(X17) )
& ( $product(X16,X12) = X6 )
& divides(X16,X6)
& ( div(X6,X12) = X16 ) )
& ( tb2t(cons(int,t2tb1(X12),t2tb(X8))) = X15 ) )
& ( X12 = X14 ) )
& prime(X12)
& ! [X13: $int] :
( ~ divides(X13,X6)
| $less(X13,2)
| ~ $less(X13,X12) )
& ~ $less(X12,X7)
& ~ $less(X6,X12)
& divides(X12,X6) )
& ~ $less(X7,2)
& ! [X11: $int] :
( ~ divides(X11,X6)
| $less(X11,2)
| ~ $less(X11,X7) )
& ~ $less(X6,2)
& ~ $less(X6,X7)
& ~ $less(X6,2)
& ~ $less(X6,X7)
& divides(X6,X6)
& ~ $less(X6,2)
& divides(X7,X0)
& ~ $less(X0,X6)
& ~ $less(X7,2)
& ~ $less(X6,1)
& ~ $less(X0,X7)
& ! [X10: $int] :
( ( divides(X10,X0)
& ~ $less(X10,X7) )
| $less(X10,2)
| ~ divides(X10,X6) )
& prime(X7)
& ! [X9: $int] :
( divides(X9,X6)
| ~ $less(X7,X9)
| ~ prime(X9)
| ~ divides(X9,X0) ) )
& ! [X5: $int] :
( ( coprime(X2,X5)
& divides(X5,div(X0,X2)) )
| ~ divides(X5,X0)
| ~ prime(X5)
| ~ $less(X2,X5) )
& divides(div(X0,X2),X0)
& ( $product(div(X0,X2),X2) = X0 )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 ) )
& ~ $less(X2,2)
& ! [X3: $int] :
( ~ divides(X3,X0)
| ~ $less(X3,X2)
| $less(X3,2) )
& ~ $less(X0,X2)
& divides(X2,X0) )
& ~ $less(X0,2)
& ! [X1: $int] :
( ~ divides(X1,X0)
| ~ $less(X1,2)
| $less(X1,2) )
& ~ $less(2,2)
& ~ $less(X0,2)
& ~ $less(X0,2) ),
inference(ennf_transformation,[],[f179]) ).
tff(f274,plain,
? [X0: $int] :
( ~ $less(X0,2)
& ~ $less(X0,2)
& ? [X2: $int] :
( ! [X3: $int] :
( ~ divides(X3,X0)
| ~ $less(X3,X2)
| $less(X3,2) )
& ? [X4: list_int] :
( ? [X7: $int,X8: list_int,X6: $int] :
( ~ $less(X7,2)
& ! [X10: $int] :
( ~ divides(X10,X6)
| ( divides(X10,X0)
& ~ $less(X10,X7) )
| $less(X10,2) )
& divides(X6,X6)
& ~ $less(X6,X7)
& ? [X12: $int] :
( ~ $less(X6,X12)
& ! [X13: $int] :
( $less(X13,2)
| ~ $less(X13,X12)
| ~ divides(X13,X6) )
& divides(X12,X6)
& ? [X14: $int] :
( ? [X15: list_int] :
( ( tb2t(cons(int,t2tb1(X12),t2tb(X8))) = X15 )
& ? [X16: $int] :
( divides(X16,X6)
& ( $product(X16,X12) = X6 )
& ( div(X6,X12) = X16 )
& ? [X17: $int] :
( divides(X17,X0)
& $less(X12,X17)
& ~ $less(X12,1)
& $less(X7,X17)
& prime(X17)
& $less(X12,X17)
& divides(X17,X6)
& ~ coprime(X12,X17) ) ) )
& ( X12 = X14 ) )
& prime(X12)
& ~ $less(X12,X7) )
& ~ $less(X6,1)
& ~ $less(X6,2)
& ! [X9: $int] :
( divides(X9,X6)
| ~ divides(X9,X0)
| ~ $less(X7,X9)
| ~ prime(X9) )
& ~ $less(X6,2)
& ~ $less(X0,X7)
& prime(X7)
& ! [X11: $int] :
( ~ divides(X11,X6)
| $less(X11,2)
| ~ $less(X11,X7) )
& ~ $less(X6,2)
& ~ $less(X7,2)
& ~ $less(X0,X6)
& ~ $less(X6,X7)
& divides(X7,X0) )
& ! [X5: $int] :
( ( coprime(X2,X5)
& divides(X5,div(X0,X2)) )
| ~ divides(X5,X0)
| ~ $less(X2,X5)
| ~ prime(X5) )
& ( $product(div(X0,X2),X2) = X0 )
& ( tb2t(cons(int,t2tb1(X2),nil(int))) = X4 )
& divides(div(X0,X2),X0) )
& ~ $less(X2,2)
& ~ $less(X0,X2)
& divides(X2,X0) )
& ~ $less(2,2)
& ~ $less(X0,2)
& ! [X1: $int] :
( ~ $less(X1,2)
| $less(X1,2)
| ~ divides(X1,X0) ) ),
inference(flattening,[],[f273]) ).
tff(f281,plain,
! [X0: $int] :
( ( ! [X1: $int] :
( coprime(X1,X0)
| $less(X1,1)
| ~ $less(X1,X0) )
& ~ $less(X0,2) )
<=> prime(X0) ),
inference(ennf_transformation,[],[f134]) ).
tff(f282,plain,
! [X0: $int] :
( prime(X0)
<=> ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime(X1,X0)
| ~ $less(X1,X0) ) ) ),
inference(flattening,[],[f281]) ).
tff(f351,plain,
! [X0: $int] :
( ( prime(X0)
| $less(X0,2)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ coprime(X1,X0)
& $less(X1,X0) ) )
& ( ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime(X0) ) ),
inference(nnf_transformation,[],[f282]) ).
tff(f352,plain,
! [X0: $int] :
( ( prime(X0)
| $less(X0,2)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ coprime(X1,X0)
& $less(X1,X0) ) )
& ( ( ~ $less(X0,2)
& ! [X1: $int] :
( $less(X1,1)
| coprime(X1,X0)
| ~ $less(X1,X0) ) )
| ~ prime(X0) ) ),
inference(flattening,[],[f351]) ).
tff(f353,plain,
! [X0: $int] :
( ( prime(X0)
| $less(X0,2)
| ? [X1: $int] :
( ~ $less(X1,1)
& ~ coprime(X1,X0)
& $less(X1,X0) ) )
& ( ( ~ $less(X0,2)
& ! [X2: $int] :
( $less(X2,1)
| coprime(X2,X0)
| ~ $less(X2,X0) ) )
| ~ prime(X0) ) ),
inference(rectify,[],[f352]) ).
tff(f354,plain,
! [X0: $int] :
( ( prime(X0)
| $less(X0,2)
| ( ~ $less(sK4(X0),1)
& ~ coprime(sK4(X0),X0)
& $less(sK4(X0),X0) ) )
& ( ( ~ $less(X0,2)
& ! [X2: $int] :
( $less(X2,1)
| coprime(X2,X0)
| ~ $less(X2,X0) ) )
| ~ prime(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f353]) ).
tff(f367,plain,
? [X0: $int] :
( ~ $less(X0,2)
& ~ $less(X0,2)
& ? [X1: $int] :
( ! [X2: $int] :
( ~ divides(X2,X0)
| ~ $less(X2,X1)
| $less(X2,2) )
& ? [X3: list_int] :
( ? [X4: $int,X5: list_int,X6: $int] :
( ~ $less(X4,2)
& ! [X7: $int] :
( ~ divides(X7,X6)
| ( divides(X7,X0)
& ~ $less(X7,X4) )
| $less(X7,2) )
& divides(X6,X6)
& ~ $less(X6,X4)
& ? [X8: $int] :
( ~ $less(X6,X8)
& ! [X9: $int] :
( $less(X9,2)
| ~ $less(X9,X8)
| ~ divides(X9,X6) )
& divides(X8,X6)
& ? [X10: $int] :
( ? [X11: list_int] :
( ( tb2t(cons(int,t2tb1(X8),t2tb(X5))) = X11 )
& ? [X12: $int] :
( divides(X12,X6)
& ( $product(X12,X8) = X6 )
& ( div(X6,X8) = X12 )
& ? [X13: $int] :
( divides(X13,X0)
& $less(X8,X13)
& ~ $less(X8,1)
& $less(X4,X13)
& prime(X13)
& $less(X8,X13)
& divides(X13,X6)
& ~ coprime(X8,X13) ) ) )
& ( X8 = X10 ) )
& prime(X8)
& ~ $less(X8,X4) )
& ~ $less(X6,1)
& ~ $less(X6,2)
& ! [X14: $int] :
( divides(X14,X6)
| ~ divides(X14,X0)
| ~ $less(X4,X14)
| ~ prime(X14) )
& ~ $less(X6,2)
& ~ $less(X0,X4)
& prime(X4)
& ! [X15: $int] :
( ~ divides(X15,X6)
| $less(X15,2)
| ~ $less(X15,X4) )
& ~ $less(X6,2)
& ~ $less(X4,2)
& ~ $less(X0,X6)
& ~ $less(X6,X4)
& divides(X4,X0) )
& ! [X16: $int] :
( ( coprime(X1,X16)
& divides(X16,div(X0,X1)) )
| ~ divides(X16,X0)
| ~ $less(X1,X16)
| ~ prime(X16) )
& ( $product(div(X0,X1),X1) = X0 )
& ( tb2t(cons(int,t2tb1(X1),nil(int))) = X3 )
& divides(div(X0,X1),X0) )
& ~ $less(X1,2)
& ~ $less(X0,X1)
& divides(X1,X0) )
& ~ $less(2,2)
& ~ $less(X0,2)
& ! [X17: $int] :
( ~ $less(X17,2)
| $less(X17,2)
| ~ divides(X17,X0) ) ),
inference(rectify,[],[f274]) ).
tff(f368,plain,
( ~ $less(sK7,2)
& ~ $less(sK7,2)
& ! [X2: $int] :
( ~ divides(X2,sK7)
| ~ $less(X2,sK8)
| $less(X2,2) )
& ~ $less(sK10,2)
& ! [X7: $int] :
( ~ divides(X7,sK12)
| ( divides(X7,sK7)
& ~ $less(X7,sK10) )
| $less(X7,2) )
& divides(sK12,sK12)
& ~ $less(sK12,sK10)
& ~ $less(sK12,sK13)
& ! [X9: $int] :
( $less(X9,2)
| ~ $less(X9,sK13)
| ~ divides(X9,sK12) )
& divides(sK13,sK12)
& ( tb2t(cons(int,t2tb1(sK13),t2tb(sK11))) = sK15 )
& divides(sK16,sK12)
& ( $product(sK16,sK13) = sK12 )
& ( div(sK12,sK13) = sK16 )
& divides(sK17,sK7)
& $less(sK13,sK17)
& ~ $less(sK13,1)
& $less(sK10,sK17)
& prime(sK17)
& $less(sK13,sK17)
& divides(sK17,sK12)
& ~ coprime(sK13,sK17)
& ( sK14 = sK13 )
& prime(sK13)
& ~ $less(sK13,sK10)
& ~ $less(sK12,1)
& ~ $less(sK12,2)
& ! [X14: $int] :
( divides(X14,sK12)
| ~ divides(X14,sK7)
| ~ $less(sK10,X14)
| ~ prime(X14) )
& ~ $less(sK12,2)
& ~ $less(sK7,sK10)
& prime(sK10)
& ! [X15: $int] :
( ~ divides(X15,sK12)
| $less(X15,2)
| ~ $less(X15,sK10) )
& ~ $less(sK12,2)
& ~ $less(sK10,2)
& ~ $less(sK7,sK12)
& ~ $less(sK12,sK10)
& divides(sK10,sK7)
& ! [X16: $int] :
( ( coprime(sK8,X16)
& divides(X16,div(sK7,sK8)) )
| ~ divides(X16,sK7)
| ~ $less(sK8,X16)
| ~ prime(X16) )
& ( $product(div(sK7,sK8),sK8) = sK7 )
& ( sK9 = tb2t(cons(int,t2tb1(sK8),nil(int))) )
& divides(div(sK7,sK8),sK7)
& ~ $less(sK8,2)
& ~ $less(sK7,sK8)
& divides(sK8,sK7)
& ~ $less(2,2)
& ~ $less(sK7,2)
& ! [X17: $int] :
( ~ $less(X17,2)
| $less(X17,2)
| ~ divides(X17,sK7) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12),skolemize(X8,sK13),skolemize(X10,sK14),skolemize(X11,sK15),skolemize(X12,sK16),skolemize(X13,sK17)],[f367]) ).
tff(f469,plain,
! [X2: $int,X0: $int] :
( coprime(X2,X0)
| ~ prime(X0)
| ~ $less(X2,X0)
| $less(X2,1) ),
inference(cnf_transformation,[],[f354]) ).
tff(f528,plain,
~ coprime(sK13,sK17),
inference(cnf_transformation,[],[f368]) ).
tff(f530,plain,
$less(sK13,sK17),
inference(cnf_transformation,[],[f368]) ).
tff(f531,plain,
prime(sK17),
inference(cnf_transformation,[],[f368]) ).
tff(f533,plain,
~ $less(sK13,1),
inference(cnf_transformation,[],[f368]) ).
tff(f891,plain,
( $less(sK13,1)
| ~ $less(sK13,sK17)
| ~ prime(sK17) ),
inference(resolution,[],[f469,f528]) ).
tff(f895,plain,
( ~ $less(sK13,sK17)
| ~ prime(sK17) ),
inference(forward_subsumption_resolution,[],[f891,f533]) ).
tff(f896,plain,
~ prime(sK17),
inference(forward_subsumption_resolution,[],[f895,f530]) ).
tff(f897,plain,
$false,
inference(forward_subsumption_resolution,[],[f896,f531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW613_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 14:17:51 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.45/1.22 % (3584318)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.45/1.22 % (3584326)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4251946295:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.45/1.22 % (3584326)Instruction limit reached!
% 3.45/1.22 % (3584326)------------------------------
% 3.45/1.22 % (3584326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.22 % (3584326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.22 % (3584326)CaDiCaL version: 2.1.3
% 3.45/1.22 % (3584326)Termination reason: Instruction limit
% 3.45/1.22 % (3584326)Termination phase: Saturation
% 3.45/1.22 % (3584326)Time elapsed: 0.003 s
% 3.45/1.22 % (3584326)Peak memory usage: 88 MB
% 3.45/1.22 % (3584326)Instructions burned: 9 (million)
% 3.45/1.22 % (3584323)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=815482644:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.45/1.22 % (3584325)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4260727682:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.45/1.22 % (3584324)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1456347940:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.45/1.22 % (3584329)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3174973649:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.45/1.22 % (3584328)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=479825743:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.45/1.22 % (3584327)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1120403023:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.45/1.22 % (3584327)Instruction limit reached!
% 3.45/1.22 % (3584327)------------------------------
% 3.45/1.22 % (3584327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.22 % (3584327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.22 % (3584327)CaDiCaL version: 2.1.3
% 3.45/1.22 % (3584327)Termination reason: Instruction limit
% 3.45/1.22 % (3584327)Termination phase: Preprocessing 3
% 3.45/1.22 % (3584327)Time elapsed: 0.003 s
% 3.45/1.22 % (3584327)Peak memory usage: 86 MB
% 3.45/1.22 % (3584327)Instructions burned: 4 (million)
% 3.45/1.22 % (3584323)Instruction limit reached!
% 3.45/1.22 % (3584323)------------------------------
% 3.45/1.22 % (3584323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.22 % (3584323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.22 % (3584323)CaDiCaL version: 2.1.3
% 3.45/1.22 % (3584323)Termination reason: Instruction limit
% 3.45/1.22 % (3584323)Termination phase: Saturation
% 3.45/1.22 % (3584323)Time elapsed: 0.027 s
% 3.45/1.22 % (3584323)Peak memory usage: 110 MB
% 3.45/1.22 % (3584323)Instructions burned: 12 (million)
% 3.45/1.22 % (3584329)Instruction limit reached!
% 3.45/1.22 % (3584329)------------------------------
% 3.45/1.22 % (3584329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.22 % (3584329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.22 % (3584329)CaDiCaL version: 2.1.3
% 3.45/1.22 % (3584329)Termination reason: Instruction limit
% 3.45/1.22 % (3584329)Termination phase: Saturation
% 3.45/1.22 % (3584329)Time elapsed: 0.044 s
% 3.45/1.22 % (3584329)Peak memory usage: 118 MB
% 3.45/1.22 % (3584329)Instructions burned: 33 (million)
% 3.45/1.22 % (3584328)Instruction limit reached!
% 3.45/1.22 % (3584328)------------------------------
% 3.45/1.22 % (3584328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.22 % (3584328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.22 % (3584328)CaDiCaL version: 2.1.3
% 3.45/1.22 % (3584328)Termination reason: Instruction limit
% 3.45/1.22 % (3584328)Termination phase: Saturation
% 3.45/1.22 % (3584328)Time elapsed: 0.054 s
% 3.45/1.22 % (3584328)Peak memory usage: 118 MB
% 3.45/1.22 % (3584328)Instructions burned: 47 (million)
% 3.45/1.22 % (3584331)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1091880126:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.45/1.22 % (3584331)Instruction limit reached!
% 3.45/1.22 % (3584331)------------------------------
% 3.45/1.24 % (3584331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584331)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584331)Termination reason: Instruction limit
% 3.45/1.24 % (3584331)Termination phase: Saturation
% 3.45/1.24 % (3584331)Time elapsed: 0.006 s
% 3.45/1.24 % (3584331)Peak memory usage: 89 MB
% 3.45/1.24 % (3584331)Instructions burned: 16 (million)
% 3.45/1.24 % (3584338)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2397141383:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.45/1.24 % (3584343)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=460110086:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.45/1.24 % (3584339)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2393944015:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.45/1.24 % (3584338)First to succeed.
% 3.45/1.24 % (3584338)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3584318"
% 3.45/1.24 % (3584325)Instruction limit reached!
% 3.45/1.24 % (3584325)------------------------------
% 3.45/1.24 % (3584325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584325)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584325)Termination reason: Instruction limit
% 3.45/1.24 % (3584325)Termination phase: Saturation
% 3.45/1.24 % (3584325)Time elapsed: 0.165 s
% 3.45/1.24 % (3584325)Peak memory usage: 119 MB
% 3.45/1.24 % (3584325)Instructions burned: 201 (million)
% 3.45/1.24 % (3584339)Instruction limit reached!
% 3.45/1.24 % (3584339)------------------------------
% 3.45/1.24 % (3584339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584339)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584339)Termination reason: Instruction limit
% 3.45/1.24 % (3584339)Termination phase: Saturation
% 3.45/1.24 % (3584339)Time elapsed: 0.010 s
% 3.45/1.24 % (3584339)Peak memory usage: 89 MB
% 3.45/1.24 % (3584339)Instructions burned: 16 (million)
% 3.45/1.24 % (3584340)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3402342577:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.45/1.24 % (3584324)Instruction limit reached!
% 3.45/1.24 % (3584324)------------------------------
% 3.45/1.24 % (3584324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584324)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584324)Termination reason: Instruction limit
% 3.45/1.24 % (3584324)Termination phase: Saturation
% 3.45/1.24 % (3584324)Time elapsed: 0.175 s
% 3.45/1.24 % (3584324)Peak memory usage: 118 MB
% 3.45/1.24 % (3584324)Instructions burned: 309 (million)
% 3.45/1.24 % (3584343)Instruction limit reached!
% 3.45/1.24 % (3584343)------------------------------
% 3.45/1.24 % (3584343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584343)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584343)Termination reason: Instruction limit
% 3.45/1.24 % (3584343)Termination phase: Saturation
% 3.45/1.24 % (3584343)Time elapsed: 0.026 s
% 3.45/1.24 % (3584343)Peak memory usage: 89 MB
% 3.45/1.24 % (3584343)Instructions burned: 85 (million)
% 3.45/1.24 % (3584342)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3404364273:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.45/1.24 % (3584340)Instruction limit reached!
% 3.45/1.24 % (3584340)------------------------------
% 3.45/1.24 % (3584340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584340)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584340)Termination reason: Instruction limit
% 3.45/1.24 % (3584340)Termination phase: Saturation
% 3.45/1.24 % (3584340)Time elapsed: 0.019 s
% 3.45/1.24 % (3584340)Peak memory usage: 89 MB
% 3.45/1.24 % (3584340)Instructions burned: 25 (million)
% 3.45/1.24 % (3584342)Instruction limit reached!
% 3.45/1.24 % (3584342)------------------------------
% 3.45/1.24 % (3584342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584342)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584342)Termination reason: Instruction limit
% 3.45/1.24 % (3584342)Termination phase: Saturation
% 3.45/1.24 % (3584342)Time elapsed: 0.020 s
% 3.45/1.24 % (3584342)Peak memory usage: 90 MB
% 3.45/1.24 % (3584342)Instructions burned: 28 (million)
% 3.45/1.24 % (3584349)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3994346860:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.45/1.24 % (3584347)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1874539045:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.45/1.24 % (3584347)Instruction limit reached!
% 3.45/1.24 % (3584347)------------------------------
% 3.45/1.24 % (3584347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584347)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584347)Termination reason: Instruction limit
% 3.45/1.24 % (3584347)Termination phase: Unused predicate definition removal
% 3.45/1.24 % (3584347)Time elapsed: 0.002 s
% 3.45/1.24 % (3584347)Peak memory usage: 86 MB
% 3.45/1.24 % (3584347)Instructions burned: 3 (million)
% 3.45/1.24 % (3584349)Also succeeded, but the first one will report.
% 3.45/1.24 % (3584352)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2948065288:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.45/1.24 % (3584350)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=342116806:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.45/1.24 % (3584350)Instruction limit reached!
% 3.45/1.24 % (3584350)------------------------------
% 3.45/1.24 % (3584350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584350)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584350)Termination reason: Instruction limit
% 3.45/1.24 % (3584350)Termination phase: Preprocessing 3
% 3.45/1.24 % (3584350)Time elapsed: 0.003 s
% 3.45/1.24 % (3584350)Peak memory usage: 86 MB
% 3.45/1.24 % (3584350)Instructions burned: 4 (million)
% 3.45/1.24 % (3584353)lrs+10_1_thi=all:si=on:fd=off:random_seed=3899606562:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.45/1.24 % (3584354)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=888512702:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 3.45/1.24 % (3584354)Instruction limit reached!
% 3.45/1.24 % (3584354)------------------------------
% 3.45/1.24 % (3584354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584354)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584354)Termination reason: Instruction limit
% 3.45/1.24 % (3584354)Termination phase: Property scanning
% 3.45/1.24 % (3584354)Time elapsed: 0.005 s
% 3.45/1.24 % (3584354)Peak memory usage: 86 MB
% 3.45/1.24 % (3584354)Instructions burned: 9 (million)
% 3.45/1.24 % (3584353)Instruction limit reached!
% 3.45/1.24 % (3584353)------------------------------
% 3.45/1.24 % (3584353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584353)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584353)Termination reason: Instruction limit
% 3.45/1.24 % (3584353)Termination phase: Saturation
% 3.45/1.24 % (3584353)Time elapsed: 0.057 s
% 3.45/1.24 % (3584353)Peak memory usage: 118 MB
% 3.45/1.24 % (3584353)Instructions burned: 54 (million)
% 3.45/1.24 % (3584352)Instruction limit reached!
% 3.45/1.24 % (3584352)------------------------------
% 3.45/1.24 % (3584352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.24 % (3584352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.24 % (3584352)CaDiCaL version: 2.1.3
% 3.45/1.24 % (3584352)Termination reason: Instruction limit
% 3.45/1.24 % (3584352)Termination phase: Saturation
% 3.45/1.24 % (3584352)Time elapsed: 0.086 s
% 3.45/1.24 % (3584352)Peak memory usage: 136 MB
% 3.45/1.24 % (3584352)Instructions burned: 66 (million)
% 3.45/1.24 % (3584338)Refutation found. Thanks to Tanya!
% 3.45/1.24 % SZS status Theorem for theBenchmark
% 3.45/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 4.59/1.44 % (3584338)------------------------------
% 4.59/1.44 % (3584338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.44 % (3584338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.44 % (3584338)CaDiCaL version: 2.1.3
% 4.59/1.44 % (3584338)Termination reason: Refutation
% 4.59/1.44 % (3584338)Time elapsed: 0.022 s
% 4.59/1.44 % (3584338)Peak memory usage: 89 MB
% 4.59/1.44 % (3584338)Instructions burned: 29 (million)
% 4.59/1.44 % (3584338)------------------------------
% 4.59/1.44 % (3584338)------------------------------
% 4.59/1.44 % (3584318)Success in time 0.563 s
% 4.59/1.44 % Vampire exiting
%------------------------------------------------------------------------------