%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW647_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 : n011.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 01:31:02 PM UTC 2026
% Result : Theorem 7.01s 1.82s
% Output : Refutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 22 unt; 0 typ; 12 def)
% Number of atoms : 242 ( 80 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 288 ( 110 ~; 58 |; 63 &)
% ( 12 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number arithmetic : 1099 ( 114 atm; 428 fun; 473 num; 84 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 : 18 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 52 ( 40 usr; 20 con; 0-6 aty)
% Number of variables : 84 ( 66 !; 18 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
lpintcm_intcm_intrp: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_15,type,
abs1: $int > $int ).
tff(func_def_20,type,
power1: ( $int * $int ) > $int ).
tff(func_def_23,type,
sum_digits1: $int > $int ).
tff(func_def_25,type,
tuple3: ( ty * ty * ty ) > ty ).
tff(func_def_26,type,
tuple31: ( ty * ty * ty * uni * uni * uni ) > uni ).
tff(func_def_27,type,
tuple3_proj_11: ( ty * ty * ty * uni ) > uni ).
tff(func_def_28,type,
tuple3_proj_21: ( ty * ty * ty * uni ) > uni ).
tff(func_def_29,type,
tuple3_proj_31: ( ty * ty * ty * uni ) > uni ).
tff(func_def_30,type,
t2tb: lpintcm_intcm_intrp > uni ).
tff(func_def_31,type,
tb2t: uni > lpintcm_intcm_intrp ).
tff(func_def_32,type,
t2tb1: $int > uni ).
tff(func_def_33,type,
tb2t1: uni > $int ).
tff(func_def_35,type,
num_of1: ( lpintcm_intcm_intrp * $int * $int ) > $int ).
tff(func_def_36,type,
solution1: ( $int * $int * $int ) > $int ).
tff(func_def_37,type,
num_of_modc1: ( lpintcm_intcm_intrp * $int * $int ) > $int ).
tff(func_def_38,type,
div2: ( $int * $int ) > $int ).
tff(func_def_39,type,
mod2: ( $int * $int ) > $int ).
tff(func_def_41,type,
sK0: ( $int * $int * lpintcm_intcm_intrp ) > $int ).
tff(func_def_42,type,
sK1: ( lpintcm_intcm_intrp * $int * $int * lpintcm_intcm_intrp ) > $int ).
tff(func_def_43,type,
sK2: ( $int * $int * lpintcm_intcm_intrp * lpintcm_intcm_intrp ) > $int ).
tff(func_def_44,type,
sK3: $int ).
tff(func_def_45,type,
sK4: $int ).
tff(func_def_46,type,
sK5: $int ).
tff(func_def_47,type,
sK6: $int ).
tff(func_def_48,type,
sK7: $int ).
tff(func_def_49,type,
sK8: $int ).
tff(func_def_50,type,
sK9: ( lpintcm_intcm_intrp * $int * $int ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_4,type,
p1: ( lpintcm_intcm_intrp * $int ) > $o ).
tff(f54,axiom,
! [X0: $int,X1: $int,X2: $int] : ( solution1(X0,X1,X2) = num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0,power1(10,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',solution_def) ).
tff(f58,axiom,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $lesseq(0,X0)
=> ( ( $lesseq(0,X2)
& $less(X2,10) )
=> ( $less(0,X3)
=> ( solution1($quotient_e($sum($product(137,X2),X0),10),$difference($sum($remainder_e($sum($product(137,X2),X0),10),X1),X2),$difference(X3,1)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induc) ).
tff(f73,conjecture,
! [X0: $int,X2: $int,X1: $int] :
( ( $lesseq(0,X0)
& $lesseq(0,X1) )
=> ( ( X0 != 0 )
=> ( $lesseq(0,9)
=> ! [X3: $int,X4: $int] :
( ( $lesseq(0,X4)
& $lesseq(X4,9) )
=> ( ( X3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) )
=> ( ( $lesseq(0,$difference(X0,1))
& $lesseq(0,div2($sum($product(137,X4),X1),10)) )
=> ! [X5: $int] :
( ( X5 = $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$difference($sum(mod2($sum($product(137,X4),X1),10),X2),X4),$difference(X0,1))) )
=> ( ( div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) )
=> ( ( mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) )
=> ( $difference(X5,X3) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_f) ).
tff(f74,negated_conjecture,
~ ! [X0: $int,X2: $int,X1: $int] :
( ( $lesseq(0,X0)
& $lesseq(0,X1) )
=> ( ( X0 != 0 )
=> ( $lesseq(0,9)
=> ! [X3: $int,X4: $int] :
( ( $lesseq(0,X4)
& $lesseq(X4,9) )
=> ( ( X3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) )
=> ( ( $lesseq(0,$difference(X0,1))
& $lesseq(0,div2($sum($product(137,X4),X1),10)) )
=> ! [X5: $int] :
( ( X5 = $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$difference($sum(mod2($sum($product(137,X4),X1),10),X2),X4),$difference(X0,1))) )
=> ( ( div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) )
=> ( ( mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) )
=> ( $difference(X5,X3) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
tff(f76,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,0)
=> ( ( ~ $less(X2,0)
& $less(X2,10) )
=> ( $less(0,X3)
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) = solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) ) ) ) ),
inference(theory_normalization,[],[f58]) ).
tff(f101,plain,
~ ! [X0: $int,X2: $int,X1: $int] :
( ( ~ $less(X0,0)
& ~ $less(X1,0) )
=> ( ( X0 != 0 )
=> ( ~ $less(9,0)
=> ! [X3: $int,X4: $int] :
( ( ~ $less(X4,0)
& ~ $less(9,X4) )
=> ( ( X3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) )
=> ( ( ~ $less($sum(X0,$uminus(1)),0)
& ~ $less(div2($sum($product(137,X4),X1),10),0) )
=> ! [X5: $int] :
( ( $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5 )
=> ( ( div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) )
=> ( ( mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) )
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = $sum(X5,$uminus(X3)) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f74]) ).
tff(f111,plain,
~ ! [X2: $int,X0: $int,X1: $int] :
( ( ~ $less(X0,0)
& ~ $less(X2,0) )
=> ( ( X0 != 0 )
=> ( ~ $less(9,0)
=> ! [X4: $int,X3: $int] :
( ( ~ $less(X4,0)
& ~ $less(9,X4) )
=> ( ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X1),t2tb1(X4))),0,power1(10,X0)) = X3 )
=> ( ( ~ $less($sum(X0,$uminus(1)),0)
& ~ $less(div2($sum($product(137,X4),X2),10),0) )
=> ! [X5: $int] :
( ( $sum(X3,solution1(div2($sum($product(137,X4),X2),10),$sum($sum(mod2($sum($product(137,X4),X2),10),X1),$uminus(X4)),$sum(X0,$uminus(1)))) = X5 )
=> ( ( $quotient_e($sum($product(137,X4),X2),10) = div2($sum($product(137,X4),X2),10) )
=> ( ( mod2($sum($product(137,X4),X2),10) = $remainder_e($sum($product(137,X4),X2),10) )
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X1),t2tb1(X4))),0,power1(10,X0)) = $sum(X5,$uminus(X3)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f101]) ).
tff(f123,plain,
! [X3: $int,X1: $int,X0: $int,X2: $int] :
( ~ $less(X2,0)
=> ( ( $less(X0,10)
& ~ $less(X0,0) )
=> ( $less(0,X1)
=> ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1(X0))),0,power1(10,X1)) = solution1($quotient_e($sum($product(137,X0),X2),10),$sum($sum($remainder_e($sum($product(137,X0),X2),10),X3),$uminus(X0)),$sum(X1,$uminus(1))) ) ) ) ),
inference(rectify,[],[f76]) ).
tff(f153,plain,
! [X3: $int,X1: $int,X0: $int,X2: $int] :
( ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1(X0))),0,power1(10,X1)) = solution1($quotient_e($sum($product(137,X0),X2),10),$sum($sum($remainder_e($sum($product(137,X0),X2),10),X3),$uminus(X0)),$sum(X1,$uminus(1))) )
| ~ $less(0,X1)
| ~ $less(X0,10)
| $less(X0,0)
| $less(X2,0) ),
inference(ennf_transformation,[],[f123]) ).
tff(f154,plain,
! [X3: $int,X0: $int,X1: $int,X2: $int] :
( $less(X0,0)
| $less(X2,0)
| ~ $less(0,X1)
| ~ $less(X0,10)
| ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1(X0))),0,power1(10,X1)) = solution1($quotient_e($sum($product(137,X0),X2),10),$sum($sum($remainder_e($sum($product(137,X0),X2),10),X3),$uminus(X0)),$sum(X1,$uminus(1))) ) ),
inference(flattening,[],[f153]) ).
tff(f188,plain,
? [X2: $int,X0: $int,X1: $int] :
( ? [X4: $int,X3: $int] :
( ? [X5: $int] :
( ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X1),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) )
& ( mod2($sum($product(137,X4),X2),10) = $remainder_e($sum($product(137,X4),X2),10) )
& ( $quotient_e($sum($product(137,X4),X2),10) = div2($sum($product(137,X4),X2),10) )
& ( $sum(X3,solution1(div2($sum($product(137,X4),X2),10),$sum($sum(mod2($sum($product(137,X4),X2),10),X1),$uminus(X4)),$sum(X0,$uminus(1)))) = X5 ) )
& ~ $less($sum(X0,$uminus(1)),0)
& ~ $less(div2($sum($product(137,X4),X2),10),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X1),t2tb1(X4))),0,power1(10,X0)) = X3 )
& ~ $less(X4,0)
& ~ $less(9,X4) )
& ~ $less(9,0)
& ( X0 != 0 )
& ~ $less(X0,0)
& ~ $less(X2,0) ),
inference(ennf_transformation,[],[f111]) ).
tff(f189,plain,
? [X0: $int,X2: $int,X1: $int] :
( ~ $less(X2,0)
& ? [X3: $int,X4: $int] :
( ? [X5: $int] :
( ( mod2($sum($product(137,X4),X2),10) = $remainder_e($sum($product(137,X4),X2),10) )
& ( $quotient_e($sum($product(137,X4),X2),10) = div2($sum($product(137,X4),X2),10) )
& ( $sum(X3,solution1(div2($sum($product(137,X4),X2),10),$sum($sum(mod2($sum($product(137,X4),X2),10),X1),$uminus(X4)),$sum(X0,$uminus(1)))) = X5 )
& ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X1),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) ) )
& ~ $less(X4,0)
& ~ $less(div2($sum($product(137,X4),X2),10),0)
& ~ $less(9,X4)
& ~ $less($sum(X0,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X1),t2tb1(X4))),0,power1(10,X0)) = X3 ) )
& ~ $less(X0,0)
& ( X0 != 0 )
& ~ $less(9,0) ),
inference(flattening,[],[f188]) ).
tff(f209,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( $less(X1,0)
| $less(X3,0)
| ~ $less(0,X2)
| ~ $less(X1,10)
| ( solution1($quotient_e($sum($product(137,X1),X3),10),$sum($sum($remainder_e($sum($product(137,X1),X3),10),X0),$uminus(X1)),$sum(X2,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X3),t2tb1(X0),t2tb1(X1))),0,power1(10,X2)) ) ),
inference(rectify,[],[f154]) ).
tff(f223,plain,
? [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,0)
& ? [X3: $int,X4: $int] :
( ? [X5: $int] :
( ( mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) )
& ( div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) )
& ( $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5 )
& ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) ) )
& ~ $less(X4,0)
& ~ $less(div2($sum($product(137,X4),X1),10),0)
& ~ $less(9,X4)
& ~ $less($sum(X0,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 ) )
& ~ $less(X0,0)
& ( X0 != 0 )
& ~ $less(9,0) ),
inference(rectify,[],[f189]) ).
tff(f224,plain,
( ~ $less(sK4,0)
& ( mod2($sum($product(137,sK7),sK4),10) = $remainder_e($sum($product(137,sK7),sK4),10) )
& ( $quotient_e($sum($product(137,sK7),sK4),10) = div2($sum($product(137,sK7),sK4),10) )
& ( sK8 = $sum(sK6,solution1(div2($sum($product(137,sK7),sK4),10),$sum($sum(mod2($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7)),$sum(sK3,$uminus(1)))) )
& ( $sum(sK8,$uminus(sK6)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3)) )
& ~ $less(sK7,0)
& ~ $less(div2($sum($product(137,sK7),sK4),10),0)
& ~ $less(9,sK7)
& ~ $less($sum(sK3,$uminus(1)),0)
& ( num_of1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3)) = sK6 )
& ~ $less(sK3,0)
& ( 0 != sK3 )
& ~ $less(9,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8)],[f223]) ).
tff(f247,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less(X1,0)
| $less(X3,0)
| ~ $less(0,X2)
| ~ $less(X1,10)
| ( solution1($quotient_e($sum($product(137,X1),X3),10),$sum($sum($remainder_e($sum($product(137,X1),X3),10),X0),$uminus(X1)),$sum(X2,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X3),t2tb1(X0),t2tb1(X1))),0,power1(10,X2)) ) ),
inference(cnf_transformation,[],[f209]) ).
tff(f251,plain,
! [X2: $int,X0: $int,X1: $int] : ( solution1(X0,X1,X2) = num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0,power1(10,X2)) ),
inference(cnf_transformation,[],[f54]) ).
tff(f283,plain,
~ $less($sum(sK3,$uminus(1)),0),
inference(cnf_transformation,[],[f224]) ).
tff(f284,plain,
~ $less(9,sK7),
inference(cnf_transformation,[],[f224]) ).
tff(f286,plain,
~ $less(sK7,0),
inference(cnf_transformation,[],[f224]) ).
tff(f287,plain,
$sum(sK8,$uminus(sK6)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3)),
inference(cnf_transformation,[],[f224]) ).
tff(f288,plain,
sK8 = $sum(sK6,solution1(div2($sum($product(137,sK7),sK4),10),$sum($sum(mod2($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7)),$sum(sK3,$uminus(1)))),
inference(cnf_transformation,[],[f224]) ).
tff(f289,plain,
$quotient_e($sum($product(137,sK7),sK4),10) = div2($sum($product(137,sK7),sK4),10),
inference(cnf_transformation,[],[f224]) ).
tff(f290,plain,
mod2($sum($product(137,sK7),sK4),10) = $remainder_e($sum($product(137,sK7),sK4),10),
inference(cnf_transformation,[],[f224]) ).
tff(f291,plain,
~ $less(sK4,0),
inference(cnf_transformation,[],[f224]) ).
tff(f301,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less(X1,0)
| ~ $less(0,X2)
| ~ $less(X1,10)
| $less(X3,0)
| ( num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,X1),X3),10)),t2tb1($sum($sum($remainder_e($sum($product(137,X1),X3),10),X0),$uminus(X1))),t2tb1(10))),0,power1(10,$sum(X2,$uminus(1)))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X3),t2tb1(X0),t2tb1(X1))),0,power1(10,X2)) ) ),
inference(definition_unfolding,[],[f247,f251]) ).
tff(f302,plain,
$sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum(mod2($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,$uminus(1))))) = sK8,
inference(definition_unfolding,[],[f288,f251]) ).
tff(f304,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X3),t2tb1(X0),t2tb1(X1))),0,power1(10,X2)) = num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,X1),X3),10)),t2tb1($sum($sum($remainder_e($sum($product(137,X1),X3),10),X0),$uminus(X1))),t2tb1(10))),0,power1(10,$sum(X2,-1))) )
| ~ $less(0,X2)
| ~ $less(X1,10)
| $less(X3,0)
| $less(X1,0) ),
inference(evaluation,[],[f301]) ).
tff(f307,plain,
$sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum(mod2($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,-1)))) = sK8,
inference(evaluation,[],[f302]) ).
tff(f308,plain,
~ $less($sum(sK3,-1),0),
inference(evaluation,[],[f283]) ).
tff(f310,definition,
( spl10_1
<=> ( $sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum(mod2($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,-1)))) = sK8 ) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
tff(f312,plain,
( ( $sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum(mod2($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,-1)))) = sK8 )
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f310]) ).
tff(f313,plain,
spl10_1,
inference(avatar_split_clause,[],[f307,f310]) ).
tff(f320,definition,
( spl10_3
<=> ( $sum(sK8,$uminus(sK6)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
tff(f323,plain,
~ spl10_3,
inference(avatar_split_clause,[],[f287,f320]) ).
tff(f325,definition,
( spl10_4
<=> $less($sum(sK3,-1),0) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
tff(f328,plain,
~ spl10_4,
inference(avatar_split_clause,[],[f308,f325]) ).
tff(f330,definition,
( spl10_5
<=> ( mod2($sum($product(137,sK7),sK4),10) = $remainder_e($sum($product(137,sK7),sK4),10) ) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
tff(f332,plain,
( ( mod2($sum($product(137,sK7),sK4),10) = $remainder_e($sum($product(137,sK7),sK4),10) )
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f330]) ).
tff(f333,plain,
spl10_5,
inference(avatar_split_clause,[],[f290,f330]) ).
tff(f335,definition,
( spl10_6
<=> $less(9,sK7) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
tff(f338,plain,
~ spl10_6,
inference(avatar_split_clause,[],[f284,f335]) ).
tff(f345,definition,
( spl10_8
<=> ( $quotient_e($sum($product(137,sK7),sK4),10) = div2($sum($product(137,sK7),sK4),10) ) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
tff(f347,plain,
( ( $quotient_e($sum($product(137,sK7),sK4),10) = div2($sum($product(137,sK7),sK4),10) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f345]) ).
tff(f348,plain,
spl10_8,
inference(avatar_split_clause,[],[f289,f345]) ).
tff(f350,definition,
( spl10_9
<=> $less(sK7,0) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
tff(f352,plain,
( ~ $less(sK7,0)
| spl10_9 ),
inference(avatar_component_clause,[],[f350]) ).
tff(f353,plain,
~ spl10_9,
inference(avatar_split_clause,[],[f286,f350]) ).
tff(f360,definition,
( spl10_11
<=> $less(sK4,0) ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
tff(f362,plain,
( ~ $less(sK4,0)
| spl10_11 ),
inference(avatar_component_clause,[],[f360]) ).
tff(f363,plain,
~ spl10_11,
inference(avatar_split_clause,[],[f291,f360]) ).
tff(f369,plain,
( ( $sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,-1)))) = sK8 )
| ~ spl10_1
| ~ spl10_5 ),
inference(forward_demodulation,[],[f312,f332]) ).
tff(f370,plain,
( ( sK8 = $sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,-1)))) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8 ),
inference(forward_demodulation,[],[f369,f347]) ).
tff(f372,definition,
( spl10_13
<=> ( sK8 = $sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,-1)))) ) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
tff(f374,plain,
( ( sK8 = $sum(sK6,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK7),sK4),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK7),sK4),10),sK5),$uminus(sK7))),t2tb1(10))),0,power1(10,$sum(sK3,-1)))) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f372]) ).
tff(f375,plain,
( spl10_13
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f370,f345,f330,f310,f372]) ).
tff(f1735,plain,
( ~ $less(sK7,10)
| $less(sK4,0)
| ( $sum(sK6,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3))) = sK8 )
| $less(sK7,0)
| ~ $less(0,sK3)
| ~ spl10_13 ),
inference(superposition,[],[f374,f304]) ).
tff(f1786,plain,
( ~ $less(0,sK3)
| ( $sum(sK6,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3))) = sK8 )
| $less(sK7,0)
| ~ $less(sK7,10)
| spl10_11
| ~ spl10_13 ),
inference(forward_subsumption_resolution,[],[f1735,f362]) ).
tff(f1804,plain,
( ( $sum(sK6,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3))) = sK8 )
| ~ $less(0,sK3)
| ~ $less(sK7,10)
| spl10_9
| spl10_11
| ~ spl10_13 ),
inference(forward_subsumption_resolution,[],[f1786,f352]) ).
tff(f1806,definition,
( spl10_175
<=> ( $sum(sK6,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK4),t2tb1(sK5),t2tb1(sK7))),0,power1(10,sK3))) = sK8 ) ),
introduced(definition,[new_symbols(definition,[spl10_175])],[avatar_definition]) ).
tff(f1810,definition,
( spl10_176
<=> $less(0,sK3) ),
introduced(definition,[new_symbols(definition,[spl10_176])],[avatar_definition]) ).
tff(f1814,definition,
( spl10_177
<=> $less(sK7,10) ),
introduced(definition,[new_symbols(definition,[spl10_177])],[avatar_definition]) ).
tff(f1817,plain,
( spl10_175
| ~ spl10_176
| ~ spl10_177
| spl10_9
| spl10_11
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f1804,f372,f360,f350,f1814,f1810,f1806]) ).
tff(f1818,plain,
$false,
inference(avatar_smt_refutation,[],[f1817,f375,f363,f353,f348,f338,f333,f328,f323,f313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW647_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 : n011.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 14:23:31 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
% 3.66/1.17 % (3417438)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.66/1.17 % (3417473)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1613648365:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.66/1.17 % (3417473)Instruction limit reached!
% 3.66/1.17 % (3417473)------------------------------
% 3.66/1.17 % (3417473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.17 % (3417473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.17 % (3417473)CaDiCaL version: 2.1.3
% 3.66/1.17 % (3417473)Termination reason: Instruction limit
% 3.66/1.17 % (3417473)Termination phase: Saturation
% 3.66/1.17 % (3417473)Time elapsed: 0.026 s
% 3.66/1.17 % (3417473)Peak memory usage: 116 MB
% 3.66/1.17 % (3417473)Instructions burned: 35 (million)
% 3.66/1.17 % (3417468)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=421377333:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.66/1.17 % (3417467)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2748354635:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.66/1.17 % (3417472)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=743077604:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.66/1.17 % (3417469)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1106769572:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.66/1.17 % (3417470)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1586136720:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.66/1.17 % (3417471)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3609394568:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.66/1.17 % (3417470)Instruction limit reached!
% 3.66/1.17 % (3417470)------------------------------
% 3.66/1.17 % (3417470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.17 % (3417470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.17 % (3417470)CaDiCaL version: 2.1.3
% 3.66/1.17 % (3417470)Termination reason: Instruction limit
% 3.66/1.17 % (3417470)Termination phase: Saturation
% 3.66/1.17 % (3417470)Time elapsed: 0.005 s
% 3.66/1.17 % (3417470)Peak memory usage: 87 MB
% 3.66/1.17 % (3417470)Instructions burned: 8 (million)
% 3.66/1.17 % (3417471)Instruction limit reached!
% 3.66/1.17 % (3417471)------------------------------
% 3.66/1.17 % (3417471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.17 % (3417471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.17 % (3417471)CaDiCaL version: 2.1.3
% 3.66/1.17 % (3417471)Termination reason: Instruction limit
% 3.66/1.17 % (3417471)Termination phase: Preprocessing 3
% 3.66/1.17 % (3417471)Time elapsed: 0.004 s
% 3.66/1.17 % (3417471)Peak memory usage: 86 MB
% 3.66/1.17 % (3417471)Instructions burned: 4 (million)
% 3.66/1.17 % (3417467)Instruction limit reached!
% 3.66/1.17 % (3417467)------------------------------
% 3.66/1.17 % (3417467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.17 % (3417467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.17 % (3417467)CaDiCaL version: 2.1.3
% 3.66/1.17 % (3417467)Termination reason: Instruction limit
% 3.66/1.17 % (3417467)Termination phase: Saturation
% 3.66/1.17 % (3417467)Time elapsed: 0.025 s
% 3.66/1.17 % (3417467)Peak memory usage: 104 MB
% 3.66/1.17 % (3417467)Instructions burned: 12 (million)
% 3.66/1.17 % (3417472)Instruction limit reached!
% 3.66/1.17 % (3417472)------------------------------
% 3.66/1.17 % (3417472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.17 % (3417472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.17 % (3417472)CaDiCaL version: 2.1.3
% 3.66/1.17 % (3417472)Termination reason: Instruction limit
% 3.66/1.17 % (3417472)Termination phase: Saturation
% 3.66/1.17 % (3417472)Time elapsed: 0.056 s
% 3.66/1.17 % (3417472)Peak memory usage: 116 MB
% 3.66/1.17 % (3417472)Instructions burned: 47 (million)
% 3.66/1.17 % (3417475)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2582462514:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.66/1.17 % (3417475)Instruction limit reached!
% 3.66/1.17 % (3417475)------------------------------
% 4.34/1.30 % (3417475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.30 % (3417475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.30 % (3417475)CaDiCaL version: 2.1.3
% 4.34/1.30 % (3417475)Termination reason: Instruction limit
% 4.34/1.30 % (3417475)Termination phase: Saturation
% 4.34/1.30 % (3417475)Time elapsed: 0.006 s
% 4.34/1.30 % (3417475)Peak memory usage: 88 MB
% 4.34/1.30 % (3417475)Instructions burned: 16 (million)
% 4.34/1.30 % (3417482)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=4104184662:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.34/1.30 % (3417484)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=777895875:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.34/1.30 % (3417483)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=742810047:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.34/1.30 % (3417483)Instruction limit reached!
% 4.34/1.30 % (3417483)------------------------------
% 4.34/1.30 % (3417483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.30 % (3417483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.30 % (3417483)CaDiCaL version: 2.1.3
% 4.34/1.30 % (3417483)Termination reason: Instruction limit
% 4.34/1.30 % (3417483)Termination phase: Saturation
% 4.34/1.30 % (3417483)Time elapsed: 0.010 s
% 4.34/1.30 % (3417483)Peak memory usage: 89 MB
% 4.34/1.30 % (3417483)Instructions burned: 16 (million)
% 4.34/1.30 % (3417484)Instruction limit reached!
% 4.34/1.30 % (3417484)------------------------------
% 4.34/1.30 % (3417484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.30 % (3417484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.30 % (3417484)CaDiCaL version: 2.1.3
% 4.34/1.30 % (3417484)Termination reason: Instruction limit
% 4.34/1.30 % (3417484)Termination phase: Saturation
% 4.34/1.30 % (3417484)Time elapsed: 0.015 s
% 4.34/1.30 % (3417484)Peak memory usage: 89 MB
% 4.34/1.30 % (3417484)Instructions burned: 24 (million)
% 4.34/1.30 % (3417469)Instruction limit reached!
% 4.34/1.30 % (3417469)------------------------------
% 4.34/1.30 % (3417469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.30 % (3417469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.30 % (3417469)CaDiCaL version: 2.1.3
% 4.34/1.30 % (3417469)Termination reason: Instruction limit
% 4.34/1.30 % (3417469)Termination phase: Saturation
% 4.34/1.30 % (3417469)Time elapsed: 0.172 s
% 4.34/1.30 % (3417469)Peak memory usage: 118 MB
% 4.34/1.30 % (3417469)Instructions burned: 204 (million)
% 4.34/1.30 % (3417489)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=4227257420:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.34/1.30 % (3417482)Instruction limit reached!
% 4.34/1.30 % (3417482)------------------------------
% 4.34/1.30 % (3417482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.30 % (3417482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.30 % (3417482)CaDiCaL version: 2.1.3
% 4.34/1.30 % (3417482)Termination reason: Instruction limit
% 4.34/1.30 % (3417482)Termination phase: Saturation
% 4.34/1.30 % (3417482)Time elapsed: 0.037 s
% 4.34/1.30 % (3417482)Peak memory usage: 89 MB
% 4.34/1.30 % (3417482)Instructions burned: 30 (million)
% 4.34/1.30 % (3417486)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=3684471181:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 4.34/1.30 % (3417486)Instruction limit reached!
% 4.34/1.30 % (3417486)------------------------------
% 4.34/1.30 % (3417486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.30 % (3417486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.30 % (3417486)CaDiCaL version: 2.1.3
% 4.34/1.30 % (3417486)Termination reason: Instruction limit
% 4.34/1.30 % (3417486)Termination phase: Saturation
% 4.34/1.30 % (3417486)Time elapsed: 0.018 s
% 4.34/1.30 % (3417486)Peak memory usage: 89 MB
% 4.34/1.30 % (3417486)Instructions burned: 30 (million)
% 4.34/1.30 % (3417489)Instruction limit reached!
% 4.34/1.30 % (3417489)------------------------------
% 4.34/1.30 % (3417489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.46 % (3417489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.46 % (3417489)CaDiCaL version: 2.1.3
% 5.15/1.46 % (3417489)Termination reason: Instruction limit
% 5.15/1.46 % (3417489)Termination phase: Saturation
% 5.15/1.46 % (3417489)Time elapsed: 0.026 s
% 5.15/1.46 % (3417489)Peak memory usage: 89 MB
% 5.15/1.46 % (3417489)Instructions burned: 88 (million)
% 5.15/1.46 % (3417468)Instruction limit reached!
% 5.15/1.46 % (3417468)------------------------------
% 5.15/1.46 % (3417468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.46 % (3417468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.46 % (3417468)CaDiCaL version: 2.1.3
% 5.15/1.46 % (3417468)Termination reason: Instruction limit
% 5.15/1.46 % (3417468)Termination phase: Saturation
% 5.15/1.46 % (3417468)Time elapsed: 0.227 s
% 5.15/1.46 % (3417468)Peak memory usage: 118 MB
% 5.15/1.46 % (3417468)Instructions burned: 308 (million)
% 5.15/1.46 % (3417499)lrs+10_1_thi=all:si=on:fd=off:random_seed=306837544:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.15/1.46 % (3417496)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=949387478:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.15/1.46 % (3417493)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2170251498:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 5.15/1.46 % (3417496)Instruction limit reached!
% 5.15/1.46 % (3417496)------------------------------
% 5.15/1.46 % (3417496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.46 % (3417496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.46 % (3417496)CaDiCaL version: 2.1.3
% 5.15/1.46 % (3417496)Termination reason: Instruction limit
% 5.15/1.46 % (3417496)Termination phase: Clausification
% 5.15/1.46 % (3417496)Time elapsed: 0.003 s
% 5.15/1.46 % (3417496)Peak memory usage: 86 MB
% 5.15/1.46 % (3417496)Instructions burned: 4 (million)
% 5.15/1.46 % (3417493)Instruction limit reached!
% 5.15/1.46 % (3417493)------------------------------
% 5.15/1.46 % (3417493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.46 % (3417493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.46 % (3417493)CaDiCaL version: 2.1.3
% 5.15/1.46 % (3417493)Termination reason: Instruction limit
% 5.15/1.46 % (3417493)Termination phase: Preprocessing 2
% 5.15/1.46 % (3417493)Time elapsed: 0.002 s
% 5.15/1.46 % (3417493)Peak memory usage: 86 MB
% 5.15/1.46 % (3417493)Instructions burned: 3 (million)
% 5.15/1.46 % (3417494)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=867509172:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 5.15/1.46 % (3417498)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4032775929:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.15/1.46 % (3417499)Instruction limit reached!
% 5.15/1.46 % (3417499)------------------------------
% 5.15/1.46 % (3417499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.46 % (3417499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.46 % (3417499)CaDiCaL version: 2.1.3
% 5.15/1.46 % (3417499)Termination reason: Instruction limit
% 5.15/1.46 % (3417499)Termination phase: Saturation
% 5.15/1.46 % (3417499)Time elapsed: 0.033 s
% 5.15/1.46 % (3417499)Peak memory usage: 116 MB
% 5.15/1.46 % (3417499)Instructions burned: 53 (million)
% 5.15/1.46 % (3417500)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=2465090244:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.15/1.46 % (3417500)Instruction limit reached!
% 5.15/1.46 % (3417500)------------------------------
% 5.15/1.46 % (3417500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.46 % (3417500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.46 % (3417500)CaDiCaL version: 2.1.3
% 5.15/1.46 % (3417500)Termination reason: Instruction limit
% 5.15/1.46 % (3417500)Termination phase: Property scanning
% 5.15/1.46 % (3417500)Time elapsed: 0.005 s
% 5.15/1.46 % (3417500)Peak memory usage: 86 MB
% 5.15/1.46 % (3417500)Instructions burned: 9 (million)
% 5.15/1.46 % (3417501)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1905833442:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 5.91/1.67 % (3417501)Instruction limit reached!
% 5.91/1.67 % (3417501)------------------------------
% 5.91/1.67 % (3417501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.67 % (3417501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.67 % (3417501)CaDiCaL version: 2.1.3
% 5.91/1.67 % (3417501)Termination reason: Instruction limit
% 5.91/1.67 % (3417501)Termination phase: Preprocessing 2
% 5.91/1.67 % (3417501)Time elapsed: 0.002 s
% 5.91/1.67 % (3417501)Peak memory usage: 86 MB
% 5.91/1.67 % (3417501)Instructions burned: 2 (million)
% 5.91/1.67 % (3417498)Instruction limit reached!
% 5.91/1.67 % (3417498)------------------------------
% 5.91/1.67 % (3417498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.67 % (3417498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.67 % (3417498)CaDiCaL version: 2.1.3
% 5.91/1.67 % (3417498)Termination reason: Instruction limit
% 5.91/1.67 % (3417498)Termination phase: Saturation
% 5.91/1.67 % (3417498)Time elapsed: 0.091 s
% 5.91/1.67 % (3417498)Peak memory usage: 134 MB
% 5.91/1.67 % (3417498)Instructions burned: 66 (million)
% 5.91/1.67 % (3417526)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4015776774:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.91/1.67 % (3417540)dis+10_1_si=on:random_seed=2709663850:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 5.91/1.67 % (3417526)Instruction limit reached!
% 5.91/1.67 % (3417526)------------------------------
% 5.91/1.67 % (3417526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.67 % (3417526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.67 % (3417526)CaDiCaL version: 2.1.3
% 5.91/1.67 % (3417526)Termination reason: Instruction limit
% 5.91/1.67 % (3417526)Termination phase: Preprocessing 2
% 5.91/1.67 % (3417526)Time elapsed: 0.002 s
% 5.91/1.67 % (3417526)Peak memory usage: 86 MB
% 5.91/1.67 % (3417526)Instructions burned: 3 (million)
% 5.91/1.67 % (3417540)Instruction limit reached!
% 5.91/1.67 % (3417540)------------------------------
% 5.91/1.67 % (3417540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.67 % (3417540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.67 % (3417540)CaDiCaL version: 2.1.3
% 5.91/1.67 % (3417540)Termination reason: Instruction limit
% 5.91/1.67 % (3417540)Termination phase: Saturation
% 5.91/1.67 % (3417540)Time elapsed: 0.004 s
% 5.91/1.67 % (3417540)Peak memory usage: 88 MB
% 5.91/1.67 % (3417540)Instructions burned: 12 (million)
% 5.91/1.67 % (3417494)Instruction limit reached!
% 5.91/1.67 % (3417494)------------------------------
% 5.91/1.67 % (3417494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.67 % (3417494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.67 % (3417494)CaDiCaL version: 2.1.3
% 5.91/1.67 % (3417494)Termination reason: Instruction limit
% 5.91/1.67 % (3417494)Termination phase: Saturation
% 5.91/1.67 % (3417494)Time elapsed: 0.127 s
% 5.91/1.67 % (3417494)Peak memory usage: 91 MB
% 5.91/1.67 % (3417494)Instructions burned: 181 (million)
% 5.91/1.67 % (3417528)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2594449433:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.91/1.67 % (3417550)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2080584598:i=26:canc=cautious:av=off:rtra=on_2995 on theBenchmark for (2995ds/26Mi)
% 5.91/1.67 % (3417550)Instruction limit reached!
% 5.91/1.67 % (3417550)------------------------------
% 5.91/1.67 % (3417550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.67 % (3417550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.67 % (3417550)CaDiCaL version: 2.1.3
% 5.91/1.67 % (3417550)Termination reason: Instruction limit
% 5.91/1.67 % (3417550)Termination phase: Saturation
% 5.91/1.67 % (3417550)Time elapsed: 0.017 s
% 5.91/1.67 % (3417550)Peak memory usage: 89 MB
% 5.91/1.67 % (3417550)Instructions burned: 27 (million)
% 5.91/1.67 % (3417559)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=765013463:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 7.01/1.82 % (3417585)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=682133521:i=370:ep=RS:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/370Mi)
% 7.01/1.82 % (3417559)Instruction limit reached!
% 7.01/1.82 % (3417559)------------------------------
% 7.01/1.82 % (3417559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417559)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417559)Termination reason: Instruction limit
% 7.01/1.82 % (3417559)Termination phase: Saturation
% 7.01/1.82 % (3417559)Time elapsed: 0.027 s
% 7.01/1.82 % (3417559)Peak memory usage: 89 MB
% 7.01/1.82 % (3417559)Instructions burned: 36 (million)
% 7.01/1.82 % (3417583)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2421805273:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 7.01/1.82 % (3417584)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3981987820:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 7.01/1.82 % (3417583)Instruction limit reached!
% 7.01/1.82 % (3417583)------------------------------
% 7.01/1.82 % (3417583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417583)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417583)Termination reason: Instruction limit
% 7.01/1.82 % (3417583)Termination phase: Preprocessing 2
% 7.01/1.82 % (3417583)Time elapsed: 0.002 s
% 7.01/1.82 % (3417583)Peak memory usage: 85 MB
% 7.01/1.82 % (3417583)Instructions burned: 3 (million)
% 7.01/1.82 % (3417584)Instruction limit reached!
% 7.01/1.82 % (3417584)------------------------------
% 7.01/1.82 % (3417584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417584)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417584)Termination reason: Instruction limit
% 7.01/1.82 % (3417584)Termination phase: Saturation
% 7.01/1.82 % (3417584)Time elapsed: 0.006 s
% 7.01/1.82 % (3417584)Peak memory usage: 88 MB
% 7.01/1.82 % (3417584)Instructions burned: 9 (million)
% 7.01/1.82 % (3417528)Instruction limit reached!
% 7.01/1.82 % (3417528)------------------------------
% 7.01/1.82 % (3417528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417528)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417528)Termination reason: Instruction limit
% 7.01/1.82 % (3417528)Termination phase: Saturation
% 7.01/1.82 % (3417528)Time elapsed: 0.113 s
% 7.01/1.82 % (3417528)Peak memory usage: 117 MB
% 7.01/1.82 % (3417528)Instructions burned: 127 (million)
% 7.01/1.82 % (3417587)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1885989060:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2994 on theBenchmark for (2994ds/13Mi)
% 7.01/1.82 % (3417587)Instruction limit reached!
% 7.01/1.82 % (3417587)------------------------------
% 7.01/1.82 % (3417587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417587)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417587)Termination reason: Instruction limit
% 7.01/1.82 % (3417587)Termination phase: Saturation
% 7.01/1.82 % (3417587)Time elapsed: 0.027 s
% 7.01/1.82 % (3417587)Peak memory usage: 109 MB
% 7.01/1.82 % (3417587)Instructions burned: 13 (million)
% 7.01/1.82 % (3417604)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1612764367:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 7.01/1.82 % (3417585)Instruction limit reached!
% 7.01/1.82 % (3417585)------------------------------
% 7.01/1.82 % (3417585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417585)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417585)Termination reason: Instruction limit
% 7.01/1.82 % (3417585)Termination phase: Saturation
% 7.01/1.82 % (3417585)Time elapsed: 0.105 s
% 7.01/1.82 % (3417585)Peak memory usage: 91 MB
% 7.01/1.82 % (3417585)Instructions burned: 371 (million)
% 7.01/1.82 % (3417619)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=778294946:i=10:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 7.01/1.82 % (3417627)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1131623871:i=71:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/71Mi)
% 7.01/1.82 % (3417619)Instruction limit reached!
% 7.01/1.82 % (3417619)------------------------------
% 7.01/1.82 % (3417619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417619)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417619)Termination reason: Instruction limit
% 7.01/1.82 % (3417619)Termination phase: Saturation
% 7.01/1.82 % (3417619)Time elapsed: 0.007 s
% 7.01/1.82 % (3417619)Peak memory usage: 88 MB
% 7.01/1.82 % (3417619)Instructions burned: 10 (million)
% 7.01/1.82 % (3417629)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=310280313:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2993 on theBenchmark for (2993ds/75Mi)
% 7.01/1.82 % (3417633)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=1626542799:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2993 on theBenchmark for (2993ds/294Mi)
% 7.01/1.82 % (3417637)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=978037308:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 7.01/1.82 % (3417639)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=1054721751:i=131:rtra=on_2992 on theBenchmark for (2992ds/131Mi)
% 7.01/1.82 % (3417629)Instruction limit reached!
% 7.01/1.82 % (3417629)------------------------------
% 7.01/1.82 % (3417629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417629)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417629)Termination reason: Instruction limit
% 7.01/1.82 % (3417629)Termination phase: Saturation
% 7.01/1.82 % (3417629)Time elapsed: 0.054 s
% 7.01/1.82 % (3417629)Peak memory usage: 90 MB
% 7.01/1.82 % (3417629)Instructions burned: 76 (million)
% 7.01/1.82 % (3417604)First to succeed.
% 7.01/1.82 % (3417604)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3417438"
% 7.01/1.82 % (3417627)Instruction limit reached!
% 7.01/1.82 % (3417627)------------------------------
% 7.01/1.82 % (3417627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417627)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417627)Termination reason: Instruction limit
% 7.01/1.82 % (3417627)Termination phase: Saturation
% 7.01/1.82 % (3417627)Time elapsed: 0.092 s
% 7.01/1.82 % (3417627)Peak memory usage: 133 MB
% 7.01/1.82 % (3417627)Instructions burned: 72 (million)
% 7.01/1.82 % (3417647)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2590718682:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/40Mi)
% 7.01/1.82 % (3417639)Instruction limit reached!
% 7.01/1.82 % (3417639)------------------------------
% 7.01/1.82 % (3417639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417639)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417639)Termination reason: Instruction limit
% 7.01/1.82 % (3417639)Termination phase: Saturation
% 7.01/1.82 % (3417639)Time elapsed: 0.077 s
% 7.01/1.82 % (3417639)Peak memory usage: 134 MB
% 7.01/1.82 % (3417639)Instructions burned: 133 (million)
% 7.01/1.82 % (3417637)Instruction limit reached!
% 7.01/1.82 % (3417637)------------------------------
% 7.01/1.82 % (3417637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417637)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417637)Termination reason: Instruction limit
% 7.01/1.82 % (3417637)Termination phase: Saturation
% 7.01/1.82 % (3417637)Time elapsed: 0.102 s
% 7.01/1.82 % (3417637)Peak memory usage: 117 MB
% 7.01/1.82 % (3417637)Instructions burned: 130 (million)
% 7.01/1.82 % (3417675)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1565799754:i=307:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/307Mi)
% 7.01/1.82 % (3417647)Instruction limit reached!
% 7.01/1.82 % (3417647)------------------------------
% 7.01/1.82 % (3417647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417647)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417647)Termination reason: Instruction limit
% 7.01/1.82 % (3417647)Termination phase: Saturation
% 7.01/1.82 % (3417647)Time elapsed: 0.068 s
% 7.01/1.82 % (3417647)Peak memory usage: 134 MB
% 7.01/1.82 % (3417647)Instructions burned: 41 (million)
% 7.01/1.82 % (3417697)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2566178451:i=131:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 7.01/1.82 % (3417633)Instruction limit reached!
% 7.01/1.82 % (3417633)------------------------------
% 7.01/1.82 % (3417633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417633)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417633)Termination reason: Instruction limit
% 7.01/1.82 % (3417633)Termination phase: Saturation
% 7.01/1.82 % (3417633)Time elapsed: 0.203 s
% 7.01/1.82 % (3417633)Peak memory usage: 92 MB
% 7.01/1.82 % (3417633)Instructions burned: 294 (million)
% 7.01/1.82 % (3417691)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1960197088:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/598Mi)
% 7.01/1.82 % (3417697)Instruction limit reached!
% 7.01/1.82 % (3417697)------------------------------
% 7.01/1.82 % (3417697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.82 % (3417697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.82 % (3417697)CaDiCaL version: 2.1.3
% 7.01/1.82 % (3417697)Termination reason: Instruction limit
% 7.01/1.82 % (3417697)Termination phase: Saturation
% 7.01/1.82 % (3417697)Time elapsed: 0.058 s
% 7.01/1.82 % (3417697)Peak memory usage: 119 MB
% 7.01/1.82 % (3417697)Instructions burned: 134 (million)
% 7.01/1.82 % (3417698)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=2449798640:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2990 on theBenchmark for (2990ds/259Mi)
% 7.01/1.82 % (3417700)dis+10_1_si=on:random_seed=3289245993:s2a=on:i=1000:rtra=on:gtg=exists_all_2990 on theBenchmark for (2990ds/1000Mi)
% 7.01/1.82 % (3417604)Refutation found. Thanks to Tanya!
% 7.01/1.82 % SZS status Theorem for theBenchmark
% 7.01/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.67/2.01 % (3417604)------------------------------
% 8.67/2.01 % (3417604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.01 % (3417604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.01 % (3417604)CaDiCaL version: 2.1.3
% 8.67/2.01 % (3417604)Termination reason: Refutation
% 8.67/2.01 % (3417604)Time elapsed: 0.153 s
% 8.67/2.01 % (3417604)Peak memory usage: 121 MB
% 8.67/2.01 % (3417604)Instructions burned: 205 (million)
% 8.67/2.01 % (3417604)------------------------------
% 8.67/2.01 % (3417604)------------------------------
% 8.67/2.01 % (3417438)Success in time 1.145 s
% 8.67/2.01 % Vampire exiting
%------------------------------------------------------------------------------