%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW617_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 : n014.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 12.06s 2.44s
% Output : Refutation 13.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 128 ( 9 unt; 0 typ; 16 def)
% Number of atoms : 661 ( 67 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 775 ( 242 ~; 290 |; 183 &)
% ( 30 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 837 ( 308 atm; 160 fun; 222 num; 147 var)
% Number of types : 14 ( 12 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 22 usr; 17 prp; 0-2 aty)
% Number of functors : 78 ( 73 usr; 17 con; 0-5 aty)
% Number of variables : 263 ( 231 !; 32 ?; 263 :)
% 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,
set1: $tType ).
tff(type_def_10,type,
map_int_lpmap_int_intrp: $tType ).
tff(type_def_11,type,
map_int_int: $tType ).
tff(type_def_12,type,
lpintcm_setrp: $tType ).
tff(type_def_13,type,
lpintcm_map_int_intrp: $tType ).
tff(type_def_14,type,
t18_lpintcm_setrp_lpintcm_map_int_intrp: $tType ).
tff(type_def_15,type,
option_lpintcm_map_int_intrp: $tType ).
tff(type_def_16,type,
map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp: $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,
min: ( $int * $int ) > $int ).
tff(func_def_13,type,
max: ( $int * $int ) > $int ).
tff(func_def_14,type,
map: ( ty * ty ) > ty ).
tff(func_def_15,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_16,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_17,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_18,type,
ref: ty > ty ).
tff(func_def_19,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_20,type,
contents: ( ty * uni ) > uni ).
tff(func_def_21,type,
n: $int ).
tff(func_def_22,type,
size: $int ).
tff(func_def_23,type,
set2: ty ).
tff(func_def_24,type,
remove: ( $int * set1 ) > set1 ).
tff(func_def_25,type,
below: $int > set1 ).
tff(func_def_26,type,
cardinal: set1 > $int ).
tff(func_def_29,type,
m: map_int_lpmap_int_intrp ).
tff(func_def_30,type,
t2tb: map_int_int > uni ).
tff(func_def_31,type,
tb2t: uni > map_int_int ).
tff(func_def_32,type,
t2tb1: map_int_lpmap_int_intrp > uni ).
tff(func_def_33,type,
tb2t1: uni > map_int_lpmap_int_intrp ).
tff(func_def_34,type,
t2tb2: $int > uni ).
tff(func_def_35,type,
tb2t2: uni > $int ).
tff(func_def_36,type,
f: ( map_int_int * $int ) > $int ).
tff(func_def_37,type,
sum: ( map_int_int * $int * $int ) > $int ).
tff(func_def_39,type,
option: ty > ty ).
tff(func_def_40,type,
none: ty > uni ).
tff(func_def_41,type,
some: ( ty * uni ) > uni ).
tff(func_def_42,type,
match_option: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_43,type,
some_proj_1: ( ty * uni ) > uni ).
tff(func_def_44,type,
t: ( ty * ty ) > ty ).
tff(func_def_45,type,
mk_t: ( ty * ty * uni ) > uni ).
tff(func_def_46,type,
contents1: ( ty * ty * uni ) > uni ).
tff(func_def_47,type,
mixfix_lbrb: ( ty * ty * uni * uni ) > uni ).
tff(func_def_48,type,
tuple2: ( ty * ty ) > ty ).
tff(func_def_49,type,
tuple21: ( ty * ty * uni * uni ) > uni ).
tff(func_def_50,type,
tuple2_proj_1: ( ty * ty * uni ) > uni ).
tff(func_def_51,type,
tuple2_proj_2: ( ty * ty * uni ) > uni ).
tff(func_def_52,type,
t2tb3: lpintcm_setrp > uni ).
tff(func_def_53,type,
tb2t3: uni > lpintcm_setrp ).
tff(func_def_54,type,
t2tb4: set1 > uni ).
tff(func_def_55,type,
tb2t4: uni > set1 ).
tff(func_def_56,type,
t2tb5: lpintcm_map_int_intrp > uni ).
tff(func_def_57,type,
tb2t5: uni > lpintcm_map_int_intrp ).
tff(func_def_58,type,
t2tb6: option_lpintcm_map_int_intrp > uni ).
tff(func_def_59,type,
tb2t6: uni > option_lpintcm_map_int_intrp ).
tff(func_def_60,type,
t2tb7: t18_lpintcm_setrp_lpintcm_map_int_intrp > uni ).
tff(func_def_61,type,
tb2t7: uni > t18_lpintcm_setrp_lpintcm_map_int_intrp ).
tff(func_def_62,type,
t2tb8: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp > uni ).
tff(func_def_63,type,
tb2t8: uni > map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp ).
tff(func_def_65,type,
sK0: ( set1 * $int * map_int_int ) > $int ).
tff(func_def_66,type,
sK1: ( set1 * $int * map_int_int ) > $int ).
tff(func_def_67,type,
sK2: ( set1 * $int * $int ) > map_int_int ).
tff(func_def_68,type,
sK3: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_map_int_intrp ).
tff(func_def_69,type,
sK4: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_setrp ).
tff(func_def_70,type,
sK5: set1 > $int ).
tff(func_def_71,type,
sK6: set1 > $int ).
tff(func_def_72,type,
sK7: $int ).
tff(func_def_73,type,
sK8: set1 ).
tff(func_def_74,type,
sK9: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp ).
tff(func_def_75,type,
sK10: ( $int * $int * map_int_int * map_int_int ) > $int ).
tff(func_def_76,type,
sK11: ( $int * map_int_int ) > $int ).
tff(func_def_77,type,
sK12: ( $int * map_int_int ) > $int ).
tff(func_def_78,type,
sK13: ( $int * map_int_int ) > $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( $int * set1 ) > $o ).
tff(pred_def_5,type,
solution: ( map_int_int * $int ) > $o ).
tff(pred_def_6,type,
pre: lpintcm_setrp > $o ).
tff(pred_def_7,type,
post: ( lpintcm_setrp * lpintcm_map_int_intrp ) > $o ).
tff(pred_def_8,type,
inv: t18_lpintcm_setrp_lpintcm_map_int_intrp > $o ).
tff(f38,axiom,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR) ).
tff(f46,axiom,
! [X1: $int,X0: map_int_int] :
( ( ! [X2: $int] :
( ( $lesseq(X1,X2)
& $less(X2,n) )
=> ( $lesseq(0,tb2t2(get(int,int,t2tb(X0),t2tb2(X2))))
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),n) ) )
& ! [X4: $int,X3: $int] :
( ( $less(X3,X4)
& $lesseq(X1,X3)
& $less(X4,n) )
=> ( tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X4))) ) ) )
<=> solution(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',solution_def) ).
tff(f48,axiom,
! [X1: $int,X0: map_int_int,X2: $int] :
( $lesseq(X2,X1)
=> ( sum(X0,X1,X2) = 0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_def_empty) ).
tff(f81,axiom,
! [X1: set1,X0: $int] :
( ( $lesseq(X0,n)
& $lesseq(0,X0)
& ! [X2: $int] :
( mem(X2,X1)
=> ( $lesseq(0,X2)
& $less(X2,n) ) )
& ( cardinal(X1) = $difference(n,X0) ) )
<=> pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pre_def) ).
tff(f85,axiom,
! [X0: $int,X3: map_int_int,X2: $int,X1: set1] :
( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))
<=> ( ! [X5: map_int_int] :
( solution(X5,X0)
=> ( ! [X4: $int] :
( ( $less(X4,n)
& $lesseq(X0,X4) )
=> mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X4))),X1) )
=> $lesseq(sum(X5,X0,n),X2) ) )
& solution(X3,X0)
& ! [X4: $int] :
( ( $lesseq(X0,X4)
& $less(X4,n) )
=> mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) )
& ( X2 = sum(X3,X0,n) )
& $lesseq(0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',post_def) ).
tff(f96,conjecture,
! [X1: set1,X0: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) )
=> ( ( X0 = n )
=> ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_maximum) ).
tff(f97,negated_conjecture,
~ ! [X1: set1,X0: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) )
=> ( ( X0 = n )
=> ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
tff(f102,plain,
! [X0: $int,X3: map_int_int,X2: $int,X1: set1] :
( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))
<=> ( ! [X5: map_int_int] :
( solution(X5,X0)
=> ( ! [X4: $int] :
( ( $less(X4,n)
& ~ $less(X4,X0) )
=> mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X4))),X1) )
=> ~ $less(X2,sum(X5,X0,n)) ) )
& solution(X3,X0)
& ! [X4: $int] :
( ( ~ $less(X4,X0)
& $less(X4,n) )
=> mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) )
& ( X2 = sum(X3,X0,n) )
& ~ $less(X2,0) ) ),
inference(theory_normalization,[],[f85]) ).
tff(f103,plain,
! [X1: set1,X0: $int] :
( ( ~ $less(n,X0)
& ~ $less(X0,0)
& ! [X2: $int] :
( mem(X2,X1)
=> ( ~ $less(X2,0)
& $less(X2,n) ) )
& ( cardinal(X1) = $sum(n,$uminus(X0)) ) )
<=> pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) ),
inference(theory_normalization,[],[f81]) ).
tff(f108,plain,
! [X1: $int,X0: map_int_int,X2: $int] :
( ~ $less(X1,X2)
=> ( sum(X0,X1,X2) = 0 ) ),
inference(theory_normalization,[],[f48]) ).
tff(f117,plain,
! [X1: $int,X0: map_int_int] :
( ( ! [X2: $int] :
( ( ~ $less(X2,X1)
& $less(X2,n) )
=> ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),n) ) )
& ! [X4: $int,X3: $int] :
( ( $less(X3,X4)
& ~ $less(X3,X1)
& $less(X4,n) )
=> ( tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X4))) ) ) )
<=> solution(X0,X1) ),
inference(theory_normalization,[],[f46]) ).
tff(f122,plain,
~ ! [X0: set1,X1: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
& inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) )
=> ( ( n = X1 )
=> ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ) ) ),
inference(rectify,[],[f97]) ).
tff(f129,plain,
! [X3: set1,X2: $int,X1: map_int_int,X0: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X3))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X1))))
<=> ( solution(X1,X0)
& ~ $less(X2,0)
& ( sum(X1,X0,n) = X2 )
& ! [X4: map_int_int] :
( solution(X4,X0)
=> ( ! [X5: $int] :
( ( ~ $less(X5,X0)
& $less(X5,n) )
=> mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
=> ~ $less(X2,sum(X4,X0,n)) ) )
& ! [X6: $int] :
( ( ~ $less(X6,X0)
& $less(X6,n) )
=> mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X6))),X3) ) ) ),
inference(rectify,[],[f102]) ).
tff(f130,plain,
! [X1: $int,X0: set1] :
( ( ~ $less(n,X1)
& ! [X2: $int] :
( mem(X2,X0)
=> ( ~ $less(X2,0)
& $less(X2,n) ) )
& ~ $less(X1,0)
& ( cardinal(X0) = $sum(n,$uminus(X1)) ) )
<=> pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ),
inference(rectify,[],[f103]) ).
tff(f140,plain,
! [X0: $int,X1: map_int_int,X2: $int] :
( ~ $less(X0,X2)
=> ( 0 = sum(X1,X0,X2) ) ),
inference(rectify,[],[f108]) ).
tff(f158,plain,
! [X0: $int,X1: map_int_int] :
( ( ! [X2: $int] :
( ( $less(X2,n)
& ~ $less(X2,X0) )
=> ( ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
& $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) ) )
& ! [X3: $int,X4: $int] :
( ( $less(X3,n)
& ~ $less(X4,X0)
& $less(X4,X3) )
=> ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) ) ) )
<=> solution(X1,X0) ),
inference(rectify,[],[f117]) ).
tff(f168,plain,
! [X0: $int,X1: map_int_int] :
( ( ! [X2: $int] :
( ( ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
& $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) )
| ~ $less(X2,n)
| $less(X2,X0) )
& ! [X3: $int,X4: $int] :
( ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) )
| ~ $less(X3,n)
| $less(X4,X0)
| ~ $less(X4,X3) ) )
<=> solution(X1,X0) ),
inference(ennf_transformation,[],[f158]) ).
tff(f169,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
<=> ( ! [X2: $int] :
( $less(X2,X0)
| ( ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
& $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) )
| ~ $less(X2,n) )
& ! [X4: $int,X3: $int] :
( ~ $less(X4,X3)
| ~ $less(X3,n)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) )
| $less(X4,X0) ) ) ),
inference(flattening,[],[f168]) ).
tff(f184,plain,
! [X0: set1,X1: $int] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
<=> ( ! [X2: $int] :
( ~ mem(X2,X0)
| ( ~ $less(X2,0)
& $less(X2,n) ) )
& ~ $less(n,X1)
& ( cardinal(X0) = $sum(n,$uminus(X1)) )
& ~ $less(X1,0) ) ),
inference(ennf_transformation,[],[f130]) ).
tff(f198,plain,
? [X0: set1,X1: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) )
& ( n = X1 )
& pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
& inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) ),
inference(ennf_transformation,[],[f122]) ).
tff(f199,plain,
? [X1: $int,X0: set1,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
& ( n = X1 )
& ( ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) )
& inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) ),
inference(flattening,[],[f198]) ).
tff(f202,plain,
! [X3: set1,X2: $int,X1: map_int_int,X0: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X3))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X1))))
<=> ( solution(X1,X0)
& ~ $less(X2,0)
& ( sum(X1,X0,n) = X2 )
& ! [X4: map_int_int] :
( ~ $less(X2,sum(X4,X0,n))
| ? [X5: $int] :
( ~ mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3)
& ~ $less(X5,X0)
& $less(X5,n) )
| ~ solution(X4,X0) )
& ! [X6: $int] :
( mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X6))),X3)
| $less(X6,X0)
| ~ $less(X6,n) ) ) ),
inference(ennf_transformation,[],[f129]) ).
tff(f203,plain,
! [X3: set1,X0: $int,X2: $int,X1: map_int_int] :
( ( ! [X6: $int] :
( mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X6))),X3)
| $less(X6,X0)
| ~ $less(X6,n) )
& ! [X4: map_int_int] :
( ? [X5: $int] :
( $less(X5,n)
& ~ $less(X5,X0)
& ~ mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
| ~ $less(X2,sum(X4,X0,n))
| ~ solution(X4,X0) )
& ~ $less(X2,0)
& ( sum(X1,X0,n) = X2 )
& solution(X1,X0) )
<=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X3))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X1)))) ),
inference(flattening,[],[f202]) ).
tff(f208,plain,
! [X1: map_int_int,X2: $int,X0: $int] :
( ( 0 = sum(X1,X0,X2) )
| $less(X0,X2) ),
inference(ennf_transformation,[],[f140]) ).
tff(f217,plain,
! [X3: set1,X0: $int,X2: $int,X1: map_int_int] :
( ( ( ! [X6: $int] :
( mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X6))),X3)
| $less(X6,X0)
| ~ $less(X6,n) )
& ! [X4: map_int_int] :
( ? [X5: $int] :
( $less(X5,n)
& ~ $less(X5,X0)
& ~ mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
| ~ $less(X2,sum(X4,X0,n))
| ~ solution(X4,X0) )
& ~ $less(X2,0)
& ( sum(X1,X0,n) = X2 )
& solution(X1,X0) )
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X3))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X1)))) )
& ( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X3))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X1))))
| ? [X6: $int] :
( ~ mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X6))),X3)
& ~ $less(X6,X0)
& $less(X6,n) )
| ? [X4: map_int_int] :
( ! [X5: $int] :
( ~ $less(X5,n)
| $less(X5,X0)
| mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
& $less(X2,sum(X4,X0,n))
& solution(X4,X0) )
| $less(X2,0)
| ( sum(X1,X0,n) != X2 )
| ~ solution(X1,X0) ) ),
inference(nnf_transformation,[],[f203]) ).
tff(f218,plain,
! [X3: set1,X0: $int,X2: $int,X1: map_int_int] :
( ( ( ! [X6: $int] :
( mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X6))),X3)
| $less(X6,X0)
| ~ $less(X6,n) )
& ! [X4: map_int_int] :
( ? [X5: $int] :
( $less(X5,n)
& ~ $less(X5,X0)
& ~ mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
| ~ $less(X2,sum(X4,X0,n))
| ~ solution(X4,X0) )
& ~ $less(X2,0)
& ( sum(X1,X0,n) = X2 )
& solution(X1,X0) )
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X3))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X1)))) )
& ( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X3))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X1))))
| ? [X6: $int] :
( ~ mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X6))),X3)
& ~ $less(X6,X0)
& $less(X6,n) )
| ? [X4: map_int_int] :
( ! [X5: $int] :
( ~ $less(X5,n)
| $less(X5,X0)
| mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
& $less(X2,sum(X4,X0,n))
& solution(X4,X0) )
| $less(X2,0)
| ( sum(X1,X0,n) != X2 )
| ~ solution(X1,X0) ) ),
inference(flattening,[],[f217]) ).
tff(f219,plain,
! [X0: set1,X1: $int,X2: $int,X3: map_int_int] :
( ( ( ! [X4: $int] :
( mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X0)
| $less(X4,X1)
| ~ $less(X4,n) )
& ! [X5: map_int_int] :
( ? [X6: $int] :
( $less(X6,n)
& ~ $less(X6,X1)
& ~ mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X0) )
| ~ $less(X2,sum(X5,X1,n))
| ~ solution(X5,X1) )
& ~ $less(X2,0)
& ( sum(X3,X1,n) = X2 )
& solution(X3,X1) )
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) )
& ( post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))
| ? [X7: $int] :
( ~ mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X7))),X0)
& ~ $less(X7,X1)
& $less(X7,n) )
| ? [X8: map_int_int] :
( ! [X9: $int] :
( ~ $less(X9,n)
| $less(X9,X1)
| mem(tb2t2(get(int,int,t2tb(X8),t2tb2(X9))),X0) )
& $less(X2,sum(X8,X1,n))
& solution(X8,X1) )
| $less(X2,0)
| ( sum(X3,X1,n) != X2 )
| ~ solution(X3,X1) ) ),
inference(rectify,[],[f218]) ).
tff(f220,plain,
! [X0: set1,X1: $int,X2: $int,X3: map_int_int] :
( ( ( ! [X4: $int] :
( mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X0)
| $less(X4,X1)
| ~ $less(X4,n) )
& ! [X5: map_int_int] :
( ( $less(sK0(X0,X1,X5),n)
& ~ $less(sK0(X0,X1,X5),X1)
& ~ mem(tb2t2(get(int,int,t2tb(X5),t2tb2(sK0(X0,X1,X5)))),X0) )
| ~ $less(X2,sum(X5,X1,n))
| ~ solution(X5,X1) )
& ~ $less(X2,0)
& ( sum(X3,X1,n) = X2 )
& solution(X3,X1) )
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) )
& ( post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))
| ( ~ mem(tb2t2(get(int,int,t2tb(X3),t2tb2(sK1(X0,X1,X3)))),X0)
& ~ $less(sK1(X0,X1,X3),X1)
& $less(sK1(X0,X1,X3),n) )
| ( ! [X9: $int] :
( ~ $less(X9,n)
| $less(X9,X1)
| mem(tb2t2(get(int,int,t2tb(sK2(X0,X1,X2)),t2tb2(X9))),X0) )
& $less(X2,sum(sK2(X0,X1,X2),X1,n))
& solution(sK2(X0,X1,X2),X1) )
| $less(X2,0)
| ( sum(X3,X1,n) != X2 )
| ~ solution(X3,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X6,sK0(X0,X1,X5)),skolemize(X7,sK1(X0,X1,X3)),skolemize(X8,sK2(X0,X1,X2))],[f219]) ).
tff(f242,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ? [X2: $int] :
( mem(X2,X0)
& ( $less(X2,0)
| ~ $less(X2,n) ) )
| $less(n,X1)
| ( cardinal(X0) != $sum(n,$uminus(X1)) )
| $less(X1,0) )
& ( ( ! [X2: $int] :
( ~ mem(X2,X0)
| ( ~ $less(X2,0)
& $less(X2,n) ) )
& ~ $less(n,X1)
& ( cardinal(X0) = $sum(n,$uminus(X1)) )
& ~ $less(X1,0) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(nnf_transformation,[],[f184]) ).
tff(f243,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ? [X2: $int] :
( mem(X2,X0)
& ( $less(X2,0)
| ~ $less(X2,n) ) )
| $less(n,X1)
| ( cardinal(X0) != $sum(n,$uminus(X1)) )
| $less(X1,0) )
& ( ( ! [X2: $int] :
( ~ mem(X2,X0)
| ( ~ $less(X2,0)
& $less(X2,n) ) )
& ~ $less(n,X1)
& ( cardinal(X0) = $sum(n,$uminus(X1)) )
& ~ $less(X1,0) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(flattening,[],[f242]) ).
tff(f244,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ? [X2: $int] :
( mem(X2,X0)
& ( $less(X2,0)
| ~ $less(X2,n) ) )
| $less(n,X1)
| ( cardinal(X0) != $sum(n,$uminus(X1)) )
| $less(X1,0) )
& ( ( ! [X3: $int] :
( ~ mem(X3,X0)
| ( ~ $less(X3,0)
& $less(X3,n) ) )
& ~ $less(n,X1)
& ( cardinal(X0) = $sum(n,$uminus(X1)) )
& ~ $less(X1,0) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(rectify,[],[f243]) ).
tff(f245,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ( mem(sK5(X0),X0)
& ( $less(sK5(X0),0)
| ~ $less(sK5(X0),n) ) )
| $less(n,X1)
| ( cardinal(X0) != $sum(n,$uminus(X1)) )
| $less(X1,0) )
& ( ( ! [X3: $int] :
( ~ mem(X3,X0)
| ( ~ $less(X3,0)
& $less(X3,n) ) )
& ~ $less(n,X1)
& ( cardinal(X0) = $sum(n,$uminus(X1)) )
& ~ $less(X1,0) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f244]) ).
tff(f246,plain,
! [X0: map_int_int,X1: $int,X2: $int] :
( ( 0 = sum(X0,X2,X1) )
| $less(X2,X1) ),
inference(rectify,[],[f208]) ).
tff(f259,plain,
? [X0: $int,X1: set1,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))
& ( n = X0 )
& ( ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) )
& inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) ),
inference(rectify,[],[f199]) ).
tff(f260,plain,
( pre(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8))))
& ( n = sK7 )
& ( ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9))))
| ~ post(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) )
& inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f259]) ).
tff(f273,plain,
! [X0: $int,X1: map_int_int] :
( ( solution(X1,X0)
| ? [X2: $int] :
( ~ $less(X2,X0)
& ( $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) )
& $less(X2,n) )
| ? [X4: $int,X3: $int] :
( $less(X4,X3)
& $less(X3,n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) = tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) )
& ~ $less(X4,X0) ) )
& ( ( ! [X2: $int] :
( $less(X2,X0)
| ( ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
& $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) )
| ~ $less(X2,n) )
& ! [X4: $int,X3: $int] :
( ~ $less(X4,X3)
| ~ $less(X3,n)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) )
| $less(X4,X0) ) )
| ~ solution(X1,X0) ) ),
inference(nnf_transformation,[],[f169]) ).
tff(f274,plain,
! [X0: $int,X1: map_int_int] :
( ( solution(X1,X0)
| ? [X2: $int] :
( ~ $less(X2,X0)
& ( $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) )
& $less(X2,n) )
| ? [X4: $int,X3: $int] :
( $less(X4,X3)
& $less(X3,n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) = tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) )
& ~ $less(X4,X0) ) )
& ( ( ! [X2: $int] :
( $less(X2,X0)
| ( ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
& $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) )
| ~ $less(X2,n) )
& ! [X4: $int,X3: $int] :
( ~ $less(X4,X3)
| ~ $less(X3,n)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) )
| $less(X4,X0) ) )
| ~ solution(X1,X0) ) ),
inference(flattening,[],[f273]) ).
tff(f275,plain,
! [X0: $int,X1: map_int_int] :
( ( solution(X1,X0)
| ? [X2: $int] :
( ~ $less(X2,X0)
& ( $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X2))),n) )
& $less(X2,n) )
| ? [X3: $int,X4: $int] :
( $less(X3,X4)
& $less(X4,n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) = tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) )
& ~ $less(X3,X0) ) )
& ( ( ! [X5: $int] :
( $less(X5,X0)
| ( ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X5))),0)
& $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X5))),n) )
| ~ $less(X5,n) )
& ! [X6: $int,X7: $int] :
( ~ $less(X6,X7)
| ~ $less(X7,n)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(X6))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X7))) )
| $less(X6,X0) ) )
| ~ solution(X1,X0) ) ),
inference(rectify,[],[f274]) ).
tff(f276,plain,
! [X0: $int,X1: map_int_int] :
( ( solution(X1,X0)
| ( ~ $less(sK11(X0,X1),X0)
& ( $less(tb2t2(get(int,int,t2tb(X1),t2tb2(sK11(X0,X1)))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(sK11(X0,X1)))),n) )
& $less(sK11(X0,X1),n) )
| ( $less(sK12(X0,X1),sK13(X0,X1))
& $less(sK13(X0,X1),n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(sK13(X0,X1)))) = tb2t2(get(int,int,t2tb(X1),t2tb2(sK12(X0,X1)))) )
& ~ $less(sK12(X0,X1),X0) ) )
& ( ( ! [X5: $int] :
( $less(X5,X0)
| ( ~ $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X5))),0)
& $less(tb2t2(get(int,int,t2tb(X1),t2tb2(X5))),n) )
| ~ $less(X5,n) )
& ! [X6: $int,X7: $int] :
( ~ $less(X6,X7)
| ~ $less(X7,n)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(X6))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X7))) )
| $less(X6,X0) ) )
| ~ solution(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X2,sK11(X0,X1)),skolemize(X3,sK12(X0,X1)),skolemize(X4,sK13(X0,X1))],[f275]) ).
tff(f290,plain,
! [X2: $int,X3: map_int_int,X0: set1,X1: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))
| $less(sK1(X0,X1,X3),n)
| $less(X2,sum(sK2(X0,X1,X2),X1,n))
| $less(X2,0)
| ( sum(X3,X1,n) != X2 )
| ~ solution(X3,X1) ),
inference(cnf_transformation,[],[f220]) ).
tff(f293,plain,
! [X2: $int,X3: map_int_int,X0: set1,X1: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))
| ~ $less(sK1(X0,X1,X3),X1)
| $less(X2,sum(sK2(X0,X1,X2),X1,n))
| $less(X2,0)
| ( sum(X3,X1,n) != X2 )
| ~ solution(X3,X1) ),
inference(cnf_transformation,[],[f220]) ).
tff(f345,plain,
! [X0: set1,X1: $int] :
( ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ( cardinal(X0) = $sum(n,$uminus(X1)) ) ),
inference(cnf_transformation,[],[f245]) ).
tff(f351,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( ( 0 = sum(X0,X2,X1) )
| $less(X2,X1) ),
inference(cnf_transformation,[],[f246]) ).
tff(f372,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f38]) ).
tff(f376,plain,
inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)))),
inference(cnf_transformation,[],[f260]) ).
tff(f377,plain,
( ~ post(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)))) ),
inference(cnf_transformation,[],[f260]) ).
tff(f378,plain,
n = sK7,
inference(cnf_transformation,[],[f260]) ).
tff(f379,plain,
pre(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8)))),
inference(cnf_transformation,[],[f260]) ).
tff(f410,plain,
! [X0: $int,X1: map_int_int] :
( ~ $less(sK12(X0,X1),X0)
| $less(sK11(X0,X1),n)
| solution(X1,X0) ),
inference(cnf_transformation,[],[f276]) ).
tff(f412,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(sK11(X0,X1),n)
| $less(sK13(X0,X1),n) ),
inference(cnf_transformation,[],[f276]) ).
tff(f413,plain,
! [X0: $int,X1: map_int_int] :
( $less(sK12(X0,X1),sK13(X0,X1))
| solution(X1,X0)
| $less(sK11(X0,X1),n) ),
inference(cnf_transformation,[],[f276]) ).
tff(f418,plain,
! [X0: $int,X1: map_int_int] :
( ~ $less(sK11(X0,X1),X0)
| ~ $less(sK12(X0,X1),X0)
| solution(X1,X0) ),
inference(cnf_transformation,[],[f276]) ).
tff(f420,plain,
! [X0: $int,X1: map_int_int] :
( ~ $less(sK11(X0,X1),X0)
| solution(X1,X0)
| $less(sK13(X0,X1),n) ),
inference(cnf_transformation,[],[f276]) ).
tff(f421,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(sK12(X0,X1),sK13(X0,X1))
| ~ $less(sK11(X0,X1),X0) ),
inference(cnf_transformation,[],[f276]) ).
tff(f430,plain,
! [X3: map_int_int,X0: set1,X1: $int] :
( ~ solution(X3,X1)
| $less(sum(X3,X1,n),0)
| post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X1,n)),t2tb(X3))))
| $less(sum(X3,X1,n),sum(sK2(X0,X1,sum(X3,X1,n)),X1,n))
| ~ $less(sK1(X0,X1,X3),X1) ),
inference(equality_resolution,[],[f293]) ).
tff(f433,plain,
! [X3: map_int_int,X0: set1,X1: $int] :
( ~ solution(X3,X1)
| $less(sK1(X0,X1,X3),n)
| post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X1,n)),t2tb(X3))))
| $less(sum(X3,X1,n),0)
| $less(sum(X3,X1,n),sum(sK2(X0,X1,sum(X3,X1,n)),X1,n)) ),
inference(equality_resolution,[],[f290]) ).
tff(f439,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( $less(0,$sum(X1,$uminus(X2)))
| ( 0 = sum(X0,X2,X1) ) ),
inference(evaluation,[],[f351]) ).
tff(f440,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(0,$sum($sum(sK12(X0,X1),1),$uminus(X0)))
| $less(0,$sum($sum(sK11(X0,X1),1),$uminus(X0))) ),
inference(evaluation,[],[f418]) ).
tff(f444,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(0,$sum($sum(sK11(X0,X1),1),$uminus(X0)))
| $less(0,$sum(n,$uminus(sK13(X0,X1)))) ),
inference(evaluation,[],[f420]) ).
tff(f448,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(0,$sum(n,$uminus(sK11(X0,X1))))
| $less(0,$sum($sum(sK12(X0,X1),1),$uminus(X0))) ),
inference(evaluation,[],[f410]) ).
tff(f460,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(0,$sum(sK13(X0,X1),$uminus(sK12(X0,X1))))
| $less(0,$sum($sum(sK11(X0,X1),1),$uminus(X0))) ),
inference(evaluation,[],[f421]) ).
tff(f465,plain,
! [X3: map_int_int,X0: set1,X1: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X1,n)),t2tb(X3))))
| $less(0,$sum(n,$uminus(sK1(X0,X1,X3))))
| ~ solution(X3,X1)
| $less(0,$uminus(sum(X3,X1,n)))
| $less(0,$sum(sum(sK2(X0,X1,sum(X3,X1,n)),X1,n),$uminus(sum(X3,X1,n)))) ),
inference(evaluation,[],[f433]) ).
tff(f475,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(0,$sum(n,$uminus(sK11(X0,X1))))
| $less(0,$sum(n,$uminus(sK13(X0,X1)))) ),
inference(evaluation,[],[f412]) ).
tff(f477,plain,
! [X3: map_int_int,X0: set1,X1: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X1,n)),t2tb(X3))))
| $less(0,$uminus(sum(X3,X1,n)))
| ~ solution(X3,X1)
| $less(0,$sum(sum(sK2(X0,X1,sum(X3,X1,n)),X1,n),$uminus(sum(X3,X1,n))))
| $less(0,$sum($sum(sK1(X0,X1,X3),1),$uminus(X1))) ),
inference(evaluation,[],[f430]) ).
tff(f492,plain,
! [X0: $int,X1: map_int_int] :
( solution(X1,X0)
| $less(0,$sum(sK13(X0,X1),$uminus(sK12(X0,X1))))
| $less(0,$sum(n,$uminus(sK11(X0,X1)))) ),
inference(evaluation,[],[f413]) ).
tff(f499,definition,
( spl14_1
<=> ( n = sK7 ) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
tff(f501,plain,
( ( n = sK7 )
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f499]) ).
tff(f502,plain,
spl14_1,
inference(avatar_split_clause,[],[f378,f499]) ).
tff(f504,definition,
( spl14_2
<=> post(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
tff(f506,plain,
( ~ post(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| spl14_2 ),
inference(avatar_component_clause,[],[f504]) ).
tff(f508,definition,
( spl14_3
<=> inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK9)))) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
tff(f511,plain,
( ~ spl14_2
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f377,f508,f504]) ).
tff(f512,plain,
spl14_3,
inference(avatar_split_clause,[],[f376,f508]) ).
tff(f514,definition,
( spl14_4
<=> pre(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
tff(f516,plain,
( pre(tb2t3(tuple21(int,set2,t2tb2(sK7),t2tb4(sK8))))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f514]) ).
tff(f517,plain,
spl14_4,
inference(avatar_split_clause,[],[f379,f514]) ).
tff(f518,plain,
( ~ post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK8))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ spl14_1
| spl14_2 ),
inference(forward_demodulation,[],[f506,f501]) ).
tff(f520,definition,
( spl14_5
<=> post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK8))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
tff(f522,plain,
( ~ post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK8))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| spl14_5 ),
inference(avatar_component_clause,[],[f520]) ).
tff(f523,plain,
( ~ spl14_5
| ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f518,f504,f499,f520]) ).
tff(f528,plain,
( ( $sum(n,$uminus(sK7)) = cardinal(sK8) )
| ~ spl14_4 ),
inference(resolution,[],[f516,f345]) ).
tff(f530,plain,
( ( $sum(n,$uminus(n)) = cardinal(sK8) )
| ~ spl14_1
| ~ spl14_4 ),
inference(forward_demodulation,[],[f528,f501]) ).
tff(f539,definition,
( spl14_7
<=> ( $sum(n,$uminus(n)) = cardinal(sK8) ) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
tff(f541,plain,
( ( $sum(n,$uminus(n)) = cardinal(sK8) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f539]) ).
tff(f542,plain,
( spl14_7
| ~ spl14_1
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f530,f514,f499,f539]) ).
tff(f550,plain,
( ! [X0: map_int_int] :
( $less(0,cardinal(sK8))
| ( 0 = sum(X0,n,n) ) )
| ~ spl14_7 ),
inference(superposition,[],[f439,f541]) ).
tff(f561,definition,
( spl14_10
<=> $less(0,cardinal(sK8)) ),
introduced(definition,[new_symbols(definition,[spl14_10])],[avatar_definition]) ).
tff(f579,definition,
( spl14_14
<=> ! [X0: map_int_int] : ( 0 = sum(X0,n,n) ) ),
introduced(definition,[new_symbols(definition,[spl14_14])],[avatar_definition]) ).
tff(f580,plain,
( ! [X0: map_int_int] : ( 0 = sum(X0,n,n) )
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f579]) ).
tff(f581,plain,
( spl14_10
| spl14_14
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f550,f539,f579,f561]) ).
tff(f604,plain,
( ! [X0: set1,X1: map_int_int] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1))))
| ~ solution(X1,n)
| $less(0,$sum(sum(sK2(X0,n,0),n,n),$uminus(0)))
| $less(0,$uminus(0))
| $less(0,$sum(n,$uminus(sK1(X0,n,X1)))) )
| ~ spl14_14 ),
inference(superposition,[],[f465,f580]) ).
tff(f607,plain,
( ! [X0: set1,X1: map_int_int] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1))))
| $less(0,$sum($sum(sK1(X0,n,X1),1),$uminus(n)))
| $less(0,$sum(sum(sK2(X0,n,0),n,n),$uminus(0)))
| $less(0,$uminus(0))
| ~ solution(X1,n) )
| ~ spl14_14 ),
inference(superposition,[],[f477,f580]) ).
tff(f615,plain,
( ! [X0: set1,X1: map_int_int] :
( $less(0,$sum($sum(sK1(X0,n,X1),1),$uminus(n)))
| $less(0,sum(sK2(X0,n,0),n,n))
| ~ solution(X1,n)
| post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1)))) )
| ~ spl14_14 ),
inference(evaluation,[],[f607]) ).
tff(f617,plain,
( ! [X0: set1,X1: map_int_int] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1))))
| ~ solution(X1,n)
| $less(0,sum(sK2(X0,n,0),n,n))
| $less(0,$sum(n,$uminus(sK1(X0,n,X1)))) )
| ~ spl14_14 ),
inference(evaluation,[],[f604]) ).
tff(f618,plain,
( ! [X0: set1,X1: map_int_int] :
( $less(0,0)
| post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1))))
| ~ solution(X1,n)
| $less(0,$sum($sum(sK1(X0,n,X1),1),$uminus(n))) )
| ~ spl14_14 ),
inference(forward_demodulation,[],[f615,f580]) ).
tff(f619,plain,
( ! [X0: set1,X1: map_int_int] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1))))
| $less(0,$sum($sum(sK1(X0,n,X1),1),$uminus(n)))
| ~ solution(X1,n) )
| ~ spl14_14 ),
inference(evaluation,[],[f618]) ).
tff(f620,plain,
( ! [X0: set1,X1: map_int_int] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1))))
| ~ solution(X1,n)
| $less(0,$sum(n,$uminus(sK1(X0,n,X1))))
| $less(0,0) )
| ~ spl14_14 ),
inference(forward_demodulation,[],[f617,f580]) ).
tff(f621,plain,
( ! [X0: set1,X1: map_int_int] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X1))))
| $less(0,$sum(n,$uminus(sK1(X0,n,X1))))
| ~ solution(X1,n) )
| ~ spl14_14 ),
inference(evaluation,[],[f620]) ).
tff(f658,plain,
( ! [X0: uni,X1: set1] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X0)))
| ~ solution(tb2t(X0),n)
| $less(0,$sum(n,$uminus(sK1(X1,n,tb2t(X0))))) )
| ~ spl14_14 ),
inference(superposition,[],[f621,f372]) ).
tff(f665,plain,
( $less(0,$sum(n,$uminus(sK1(sK8,n,tb2t(const(int,int,t2tb2(0)))))))
| ~ solution(tb2t(const(int,int,t2tb2(0))),n)
| spl14_5
| ~ spl14_14 ),
inference(resolution,[],[f658,f522]) ).
tff(f682,definition,
( spl14_20
<=> $less(0,$sum(n,$uminus(sK1(sK8,n,tb2t(const(int,int,t2tb2(0))))))) ),
introduced(definition,[new_symbols(definition,[spl14_20])],[avatar_definition]) ).
tff(f686,definition,
( spl14_21
<=> solution(tb2t(const(int,int,t2tb2(0))),n) ),
introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition]) ).
tff(f687,plain,
( solution(tb2t(const(int,int,t2tb2(0))),n)
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f686]) ).
tff(f688,plain,
( ~ solution(tb2t(const(int,int,t2tb2(0))),n)
| spl14_21 ),
inference(avatar_component_clause,[],[f686]) ).
tff(f689,plain,
( spl14_20
| ~ spl14_21
| spl14_5
| ~ spl14_14 ),
inference(avatar_split_clause,[],[f665,f579,f520,f686,f682]) ).
tff(f694,plain,
( $less(0,$sum($sum(sK12(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| $less(0,$sum($sum(sK11(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| spl14_21 ),
inference(resolution,[],[f688,f440]) ).
tff(f695,plain,
( $less(0,$sum(n,$uminus(sK13(n,tb2t(const(int,int,t2tb2(0)))))))
| $less(0,$sum($sum(sK11(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| spl14_21 ),
inference(resolution,[],[f688,f444]) ).
tff(f696,plain,
( $less(0,$sum($sum(sK12(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| $less(0,$sum(n,$uminus(sK11(n,tb2t(const(int,int,t2tb2(0)))))))
| spl14_21 ),
inference(resolution,[],[f688,f448]) ).
tff(f699,plain,
( $less(0,$sum(sK13(n,tb2t(const(int,int,t2tb2(0)))),$uminus(sK12(n,tb2t(const(int,int,t2tb2(0)))))))
| $less(0,$sum($sum(sK11(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| spl14_21 ),
inference(resolution,[],[f688,f460]) ).
tff(f700,plain,
( $less(0,$sum(n,$uminus(sK11(n,tb2t(const(int,int,t2tb2(0)))))))
| $less(0,$sum(n,$uminus(sK13(n,tb2t(const(int,int,t2tb2(0)))))))
| spl14_21 ),
inference(resolution,[],[f688,f475]) ).
tff(f705,plain,
( $less(0,$sum(n,$uminus(sK11(n,tb2t(const(int,int,t2tb2(0)))))))
| $less(0,$sum(sK13(n,tb2t(const(int,int,t2tb2(0)))),$uminus(sK12(n,tb2t(const(int,int,t2tb2(0)))))))
| spl14_21 ),
inference(resolution,[],[f688,f492]) ).
tff(f708,definition,
( spl14_22
<=> $less(0,$sum(n,$uminus(sK13(n,tb2t(const(int,int,t2tb2(0))))))) ),
introduced(definition,[new_symbols(definition,[spl14_22])],[avatar_definition]) ).
tff(f712,definition,
( spl14_23
<=> $less(0,$sum($sum(sK11(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n))) ),
introduced(definition,[new_symbols(definition,[spl14_23])],[avatar_definition]) ).
tff(f715,plain,
( spl14_22
| spl14_23
| spl14_21 ),
inference(avatar_split_clause,[],[f695,f686,f712,f708]) ).
tff(f717,definition,
( spl14_24
<=> $less(0,$sum(sK13(n,tb2t(const(int,int,t2tb2(0)))),$uminus(sK12(n,tb2t(const(int,int,t2tb2(0))))))) ),
introduced(definition,[new_symbols(definition,[spl14_24])],[avatar_definition]) ).
tff(f720,plain,
( spl14_24
| spl14_23
| spl14_21 ),
inference(avatar_split_clause,[],[f699,f686,f712,f717]) ).
tff(f722,definition,
( spl14_25
<=> $less(0,$sum(n,$uminus(sK11(n,tb2t(const(int,int,t2tb2(0))))))) ),
introduced(definition,[new_symbols(definition,[spl14_25])],[avatar_definition]) ).
tff(f725,plain,
( spl14_22
| spl14_25
| spl14_21 ),
inference(avatar_split_clause,[],[f700,f686,f722,f708]) ).
tff(f727,plain,
( spl14_24
| spl14_25
| spl14_21 ),
inference(avatar_split_clause,[],[f705,f686,f722,f717]) ).
tff(f730,definition,
( spl14_26
<=> $less(0,$sum($sum(sK12(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n))) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
tff(f733,plain,
( spl14_26
| spl14_25
| spl14_21 ),
inference(avatar_split_clause,[],[f696,f686,f722,f730]) ).
tff(f736,plain,
( spl14_26
| spl14_23
| spl14_21 ),
inference(avatar_split_clause,[],[f694,f686,f712,f730]) ).
tff(f781,plain,
( ! [X0: uni,X1: set1] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X0)))
| ~ solution(tb2t(X0),n)
| $less(0,$sum($sum(sK1(X1,n,tb2t(X0)),1),$uminus(n))) )
| ~ spl14_14 ),
inference(superposition,[],[f619,f372]) ).
tff(f788,plain,
( $less(0,$sum($sum(sK1(sK8,n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| ~ solution(tb2t(const(int,int,t2tb2(0))),n)
| spl14_5
| ~ spl14_14 ),
inference(resolution,[],[f781,f522]) ).
tff(f800,plain,
( $less(0,$sum($sum(sK1(sK8,n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| spl14_5
| ~ spl14_14
| ~ spl14_21 ),
inference(forward_subsumption_resolution,[],[f788,f687]) ).
tff(f807,definition,
( spl14_30
<=> $less(0,$sum($sum(sK1(sK8,n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n))) ),
introduced(definition,[new_symbols(definition,[spl14_30])],[avatar_definition]) ).
tff(f810,plain,
( spl14_30
| spl14_5
| ~ spl14_14
| ~ spl14_21 ),
inference(avatar_split_clause,[],[f800,f686,f579,f520,f807]) ).
tff(f815,plain,
$false,
inference(avatar_smt_refutation,[],[f810,f736,f733,f727,f725,f720,f715,f689,f581,f542,f523,f517,f512,f511,f502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW617_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 14:22:46 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.36/1.18 % (1806055)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.36/1.18 % (1806170)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2253733666:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.36/1.18 % (1806170)Instruction limit reached!
% 3.36/1.18 % (1806170)------------------------------
% 3.36/1.18 % (1806170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.18 % (1806170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.18 % (1806170)CaDiCaL version: 2.1.3
% 3.36/1.18 % (1806170)Termination reason: Instruction limit
% 3.36/1.18 % (1806170)Termination phase: Saturation
% 3.36/1.18 % (1806170)Time elapsed: 0.003 s
% 3.36/1.18 % (1806170)Peak memory usage: 87 MB
% 3.36/1.18 % (1806170)Instructions burned: 9 (million)
% 3.36/1.18 % (1806169)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3553503204:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.36/1.18 % (1806168)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3632743303:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.36/1.18 % (1806173)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1508838677:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.36/1.18 % (1806171)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=710104799:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.36/1.18 % (1806167)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3528974397:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.36/1.18 % (1806171)Instruction limit reached!
% 3.36/1.18 % (1806171)------------------------------
% 3.36/1.18 % (1806171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.18 % (1806171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.18 % (1806171)CaDiCaL version: 2.1.3
% 3.36/1.18 % (1806171)Termination reason: Instruction limit
% 3.36/1.18 % (1806171)Termination phase: Preprocessing 3
% 3.36/1.18 % (1806171)Time elapsed: 0.003 s
% 3.36/1.18 % (1806171)Peak memory usage: 86 MB
% 3.36/1.18 % (1806171)Instructions burned: 4 (million)
% 3.36/1.18 % (1806172)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2233486961:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.36/1.18 % (1806167)Instruction limit reached!
% 3.36/1.18 % (1806167)------------------------------
% 3.36/1.18 % (1806167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.18 % (1806167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.18 % (1806167)CaDiCaL version: 2.1.3
% 3.36/1.18 % (1806167)Termination reason: Instruction limit
% 3.36/1.18 % (1806167)Termination phase: Saturation
% 3.36/1.18 % (1806167)Time elapsed: 0.030 s
% 3.36/1.18 % (1806167)Peak memory usage: 114 MB
% 3.36/1.18 % (1806167)Instructions burned: 12 (million)
% 3.36/1.18 % (1806173)Instruction limit reached!
% 3.36/1.18 % (1806173)------------------------------
% 3.36/1.18 % (1806173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.18 % (1806173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.18 % (1806173)CaDiCaL version: 2.1.3
% 3.36/1.18 % (1806173)Termination reason: Instruction limit
% 3.36/1.18 % (1806173)Termination phase: Saturation
% 3.36/1.18 % (1806173)Time elapsed: 0.044 s
% 3.36/1.18 % (1806173)Peak memory usage: 116 MB
% 3.36/1.18 % (1806173)Instructions burned: 33 (million)
% 3.36/1.18 % (1806172)Instruction limit reached!
% 3.36/1.18 % (1806172)------------------------------
% 3.36/1.18 % (1806172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.18 % (1806172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.18 % (1806172)CaDiCaL version: 2.1.3
% 3.36/1.18 % (1806172)Termination reason: Instruction limit
% 3.36/1.18 % (1806172)Termination phase: Saturation
% 3.36/1.18 % (1806172)Time elapsed: 0.054 s
% 3.36/1.18 % (1806172)Peak memory usage: 116 MB
% 3.36/1.18 % (1806172)Instructions burned: 46 (million)
% 3.36/1.18 % (1806175)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2727012137:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.36/1.18 % (1806175)Instruction limit reached!
% 3.36/1.18 % (1806175)------------------------------
% 4.64/1.38 % (1806175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.38 % (1806175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.38 % (1806175)CaDiCaL version: 2.1.3
% 4.64/1.38 % (1806175)Termination reason: Instruction limit
% 4.64/1.38 % (1806175)Termination phase: Saturation
% 4.64/1.38 % (1806175)Time elapsed: 0.006 s
% 4.64/1.38 % (1806175)Peak memory usage: 89 MB
% 4.64/1.38 % (1806175)Instructions burned: 16 (million)
% 4.64/1.38 % (1806181)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=2240789438:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.64/1.38 % (1806169)Instruction limit reached!
% 4.64/1.38 % (1806169)------------------------------
% 4.64/1.38 % (1806169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.38 % (1806169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.38 % (1806169)CaDiCaL version: 2.1.3
% 4.64/1.38 % (1806169)Termination reason: Instruction limit
% 4.64/1.38 % (1806169)Termination phase: Saturation
% 4.64/1.38 % (1806169)Time elapsed: 0.165 s
% 4.64/1.38 % (1806169)Peak memory usage: 118 MB
% 4.64/1.38 % (1806169)Instructions burned: 202 (million)
% 4.64/1.38 % (1806181)Instruction limit reached!
% 4.64/1.38 % (1806181)------------------------------
% 4.64/1.38 % (1806181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.38 % (1806181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.38 % (1806181)CaDiCaL version: 2.1.3
% 4.64/1.38 % (1806181)Termination reason: Instruction limit
% 4.64/1.38 % (1806181)Termination phase: Saturation
% 4.64/1.38 % (1806181)Time elapsed: 0.022 s
% 4.64/1.38 % (1806181)Peak memory usage: 89 MB
% 4.64/1.38 % (1806181)Instructions burned: 30 (million)
% 4.64/1.38 % (1806183)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3250860603:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.64/1.38 % (1806184)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=272122423:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.64/1.38 % (1806183)Instruction limit reached!
% 4.64/1.38 % (1806183)------------------------------
% 4.64/1.38 % (1806183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.38 % (1806183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.38 % (1806183)CaDiCaL version: 2.1.3
% 4.64/1.38 % (1806183)Termination reason: Instruction limit
% 4.64/1.38 % (1806183)Termination phase: Saturation
% 4.64/1.38 % (1806183)Time elapsed: 0.011 s
% 4.64/1.38 % (1806183)Peak memory usage: 89 MB
% 4.64/1.38 % (1806183)Instructions burned: 17 (million)
% 4.64/1.38 % (1806187)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=4169895355:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.64/1.38 % (1806185)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=3075992565:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.64/1.38 % (1806184)Instruction limit reached!
% 4.64/1.38 % (1806184)------------------------------
% 4.64/1.38 % (1806184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.38 % (1806184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.38 % (1806184)CaDiCaL version: 2.1.3
% 4.64/1.38 % (1806184)Termination reason: Instruction limit
% 4.64/1.38 % (1806184)Termination phase: Saturation
% 4.64/1.38 % (1806184)Time elapsed: 0.017 s
% 4.64/1.38 % (1806184)Peak memory usage: 89 MB
% 4.64/1.38 % (1806184)Instructions burned: 25 (million)
% 4.64/1.38 % (1806168)Instruction limit reached!
% 4.64/1.38 % (1806168)------------------------------
% 4.64/1.38 % (1806168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.38 % (1806168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.38 % (1806168)CaDiCaL version: 2.1.3
% 4.64/1.38 % (1806168)Termination reason: Instruction limit
% 4.64/1.38 % (1806168)Termination phase: Saturation
% 4.64/1.38 % (1806168)Time elapsed: 0.218 s
% 4.64/1.38 % (1806168)Peak memory usage: 117 MB
% 4.64/1.38 % (1806168)Instructions burned: 307 (million)
% 4.64/1.38 % (1806185)Instruction limit reached!
% 4.64/1.38 % (1806185)------------------------------
% 4.64/1.38 % (1806185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.57 % (1806185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.57 % (1806185)CaDiCaL version: 2.1.3
% 5.49/1.57 % (1806185)Termination reason: Instruction limit
% 5.49/1.57 % (1806185)Termination phase: Saturation
% 5.49/1.57 % (1806185)Time elapsed: 0.018 s
% 5.49/1.57 % (1806185)Peak memory usage: 90 MB
% 5.49/1.57 % (1806185)Instructions burned: 28 (million)
% 5.49/1.57 % (1806187)Instruction limit reached!
% 5.49/1.57 % (1806187)------------------------------
% 5.49/1.57 % (1806187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.57 % (1806187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.57 % (1806187)CaDiCaL version: 2.1.3
% 5.49/1.57 % (1806187)Termination reason: Instruction limit
% 5.49/1.57 % (1806187)Termination phase: Saturation
% 5.49/1.57 % (1806187)Time elapsed: 0.026 s
% 5.49/1.57 % (1806187)Peak memory usage: 89 MB
% 5.49/1.57 % (1806187)Instructions burned: 92 (million)
% 5.49/1.57 % (1806189)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2697602449:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.49/1.57 % (1806189)Instruction limit reached!
% 5.49/1.57 % (1806189)------------------------------
% 5.49/1.57 % (1806189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.57 % (1806189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.57 % (1806189)CaDiCaL version: 2.1.3
% 5.49/1.57 % (1806189)Termination reason: Instruction limit
% 5.49/1.57 % (1806189)Termination phase: Unused predicate definition removal
% 5.49/1.57 % (1806189)Time elapsed: 0.002 s
% 5.49/1.57 % (1806189)Peak memory usage: 86 MB
% 5.49/1.57 % (1806189)Instructions burned: 3 (million)
% 5.49/1.57 % (1806190)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1782477818:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.49/1.57 % (1806195)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3741176189:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.49/1.57 % (1806195)Instruction limit reached!
% 5.49/1.57 % (1806195)------------------------------
% 5.49/1.57 % (1806195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.57 % (1806195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.57 % (1806195)CaDiCaL version: 2.1.3
% 5.49/1.57 % (1806195)Termination reason: Instruction limit
% 5.49/1.57 % (1806195)Termination phase: Preprocessing 3
% 5.49/1.57 % (1806195)Time elapsed: 0.003 s
% 5.49/1.57 % (1806195)Peak memory usage: 86 MB
% 5.49/1.57 % (1806195)Instructions burned: 4 (million)
% 5.49/1.57 % (1806199)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3856046702:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 5.49/1.57 % (1806199)Instruction limit reached!
% 5.49/1.57 % (1806199)------------------------------
% 5.49/1.57 % (1806199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.57 % (1806199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.57 % (1806199)CaDiCaL version: 2.1.3
% 5.49/1.57 % (1806199)Termination reason: Instruction limit
% 5.49/1.57 % (1806199)Termination phase: Preprocessing 1
% 5.49/1.57 % (1806199)Time elapsed: 0.001 s
% 5.49/1.57 % (1806199)Peak memory usage: 86 MB
% 5.49/1.57 % (1806199)Instructions burned: 2 (million)
% 5.49/1.57 % (1806197)lrs+10_1_thi=all:si=on:fd=off:random_seed=2038560916:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.49/1.57 % (1806196)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=53510932:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.49/1.57 % (1806198)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=3129928581:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.49/1.57 % (1806198)Instruction limit reached!
% 5.49/1.57 % (1806198)------------------------------
% 5.49/1.57 % (1806198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.57 % (1806198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.57 % (1806198)CaDiCaL version: 2.1.3
% 5.49/1.57 % (1806198)Termination reason: Instruction limit
% 7.16/1.79 % (1806198)Termination phase: Equality resolution with deletion
% 7.16/1.79 % (1806198)Time elapsed: 0.005 s
% 7.16/1.79 % (1806198)Peak memory usage: 86 MB
% 7.16/1.79 % (1806198)Instructions burned: 9 (million)
% 7.16/1.79 % (1806197)Instruction limit reached!
% 7.16/1.79 % (1806197)------------------------------
% 7.16/1.79 % (1806197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.79 % (1806197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.79 % (1806197)CaDiCaL version: 2.1.3
% 7.16/1.79 % (1806197)Termination reason: Instruction limit
% 7.16/1.79 % (1806197)Termination phase: Saturation
% 7.16/1.79 % (1806197)Time elapsed: 0.061 s
% 7.16/1.79 % (1806197)Peak memory usage: 116 MB
% 7.16/1.79 % (1806197)Instructions burned: 53 (million)
% 7.16/1.79 % (1806190)Instruction limit reached!
% 7.16/1.79 % (1806190)------------------------------
% 7.16/1.79 % (1806190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.79 % (1806190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.79 % (1806190)CaDiCaL version: 2.1.3
% 7.16/1.79 % (1806190)Termination reason: Instruction limit
% 7.16/1.79 % (1806190)Termination phase: Saturation
% 7.16/1.79 % (1806190)Time elapsed: 0.102 s
% 7.16/1.79 % (1806190)Peak memory usage: 90 MB
% 7.16/1.79 % (1806190)Instructions burned: 182 (million)
% 7.16/1.79 % (1806196)Instruction limit reached!
% 7.16/1.79 % (1806196)------------------------------
% 7.16/1.79 % (1806196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.79 % (1806196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.79 % (1806196)CaDiCaL version: 2.1.3
% 7.16/1.79 % (1806196)Termination reason: Instruction limit
% 7.16/1.79 % (1806196)Termination phase: Saturation
% 7.16/1.79 % (1806196)Time elapsed: 0.091 s
% 7.16/1.79 % (1806196)Peak memory usage: 134 MB
% 7.16/1.79 % (1806196)Instructions burned: 66 (million)
% 7.16/1.79 % (1806201)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2336495363:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 7.16/1.79 % (1806201)Instruction limit reached!
% 7.16/1.79 % (1806201)------------------------------
% 7.16/1.79 % (1806201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.79 % (1806201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.79 % (1806201)CaDiCaL version: 2.1.3
% 7.16/1.79 % (1806201)Termination reason: Instruction limit
% 7.16/1.79 % (1806201)Termination phase: Unused predicate definition removal
% 7.16/1.79 % (1806201)Time elapsed: 0.002 s
% 7.16/1.79 % (1806201)Peak memory usage: 86 MB
% 7.16/1.79 % (1806201)Instructions burned: 3 (million)
% 7.16/1.79 % (1806206)dis+10_1_si=on:random_seed=1771130155:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 7.16/1.79 % (1806204)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=122637285:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 7.16/1.79 % (1806206)Instruction limit reached!
% 7.16/1.79 % (1806206)------------------------------
% 7.16/1.79 % (1806206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.79 % (1806206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.79 % (1806206)CaDiCaL version: 2.1.3
% 7.16/1.79 % (1806206)Termination reason: Instruction limit
% 7.16/1.79 % (1806206)Termination phase: Saturation
% 7.16/1.79 % (1806206)Time elapsed: 0.004 s
% 7.16/1.79 % (1806206)Peak memory usage: 88 MB
% 7.16/1.79 % (1806206)Instructions burned: 12 (million)
% 7.16/1.79 % (1806210)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4190253745:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 7.16/1.79 % (1806210)Refutation not found, incomplete strategy
% 7.16/1.79 % (1806210)------------------------------
% 7.16/1.79 % (1806210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.79 % (1806210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.79 % (1806210)CaDiCaL version: 2.1.3
% 7.16/1.79 % (1806210)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.79 % (1806210)Time elapsed: 0.011 s
% 7.16/1.79 % (1806210)Peak memory usage: 89 MB
% 7.16/1.79 % (1806210)Instructions burned: 16 (million)
% 7.16/1.79 % (1806212)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=333295555:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 7.16/1.79 % (1806211)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1918121747: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)
% 8.17/1.98 % (1806212)Instruction limit reached!
% 8.17/1.98 % (1806212)------------------------------
% 8.17/1.98 % (1806212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/1.98 % (1806212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/1.98 % (1806212)CaDiCaL version: 2.1.3
% 8.17/1.98 % (1806212)Termination reason: Instruction limit
% 8.17/1.98 % (1806212)Termination phase: Property scanning
% 8.17/1.98 % (1806212)Time elapsed: 0.001 s
% 8.17/1.98 % (1806212)Peak memory usage: 85 MB
% 8.17/1.98 % (1806212)Instructions burned: 2 (million)
% 8.17/1.98 % (1806218)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=4247150130:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 8.17/1.98 % (1806204)Instruction limit reached!
% 8.17/1.98 % (1806204)------------------------------
% 8.17/1.98 % (1806204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/1.98 % (1806204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/1.98 % (1806204)CaDiCaL version: 2.1.3
% 8.17/1.98 % (1806204)Termination reason: Instruction limit
% 8.17/1.98 % (1806204)Termination phase: Saturation
% 8.17/1.98 % (1806204)Time elapsed: 0.112 s
% 8.17/1.98 % (1806204)Peak memory usage: 118 MB
% 8.17/1.98 % (1806204)Instructions burned: 128 (million)
% 8.17/1.98 % (1806218)Instruction limit reached!
% 8.17/1.98 % (1806218)------------------------------
% 8.17/1.98 % (1806218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/1.98 % (1806218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/1.98 % (1806218)CaDiCaL version: 2.1.3
% 8.17/1.98 % (1806218)Termination reason: Instruction limit
% 8.17/1.98 % (1806218)Termination phase: Saturation
% 8.17/1.98 % (1806218)Time elapsed: 0.014 s
% 8.17/1.98 % (1806218)Peak memory usage: 102 MB
% 8.17/1.98 % (1806218)Instructions burned: 13 (million)
% 8.17/1.98 % (1806211)Instruction limit reached!
% 8.17/1.98 % (1806211)------------------------------
% 8.17/1.98 % (1806211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/1.98 % (1806211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/1.98 % (1806211)CaDiCaL version: 2.1.3
% 8.17/1.98 % (1806211)Termination reason: Instruction limit
% 8.17/1.98 % (1806211)Termination phase: Saturation
% 8.17/1.98 % (1806211)Time elapsed: 0.025 s
% 8.17/1.98 % (1806211)Peak memory usage: 89 MB
% 8.17/1.98 % (1806211)Instructions burned: 35 (million)
% 8.17/1.98 % (1806216)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3796890141:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 8.17/1.98 % (1806214)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1932955993:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 8.17/1.98 % (1806214)Instruction limit reached!
% 8.17/1.98 % (1806214)------------------------------
% 8.17/1.98 % (1806214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/1.98 % (1806214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/1.98 % (1806214)CaDiCaL version: 2.1.3
% 8.17/1.98 % (1806214)Termination reason: Instruction limit
% 8.17/1.98 % (1806214)Termination phase: Property scanning
% 8.17/1.98 % (1806214)Time elapsed: 0.005 s
% 8.17/1.98 % (1806214)Peak memory usage: 86 MB
% 8.17/1.98 % (1806214)Instructions burned: 8 (million)
% 8.17/1.98 % (1806225)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=430253748:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 8.17/1.98 % (1806222)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=122914641:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 8.17/1.98 % (1806224)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2398080416:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 8.17/1.98 % (1806224)Instruction limit reached!
% 8.17/1.98 % (1806224)------------------------------
% 8.17/1.98 % (1806224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/1.98 % (1806224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.29 % (1806224)CaDiCaL version: 2.1.3
% 11.17/2.29 % (1806224)Termination reason: Instruction limit
% 11.17/2.29 % (1806224)Termination phase: Saturation
% 11.17/2.29 % (1806224)Time elapsed: 0.007 s
% 11.17/2.29 % (1806224)Peak memory usage: 88 MB
% 11.17/2.29 % (1806224)Instructions burned: 11 (million)
% 11.17/2.29 % (1806226)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=405024277:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 11.17/2.29 % (1806225)Instruction limit reached!
% 11.17/2.29 % (1806225)------------------------------
% 11.17/2.29 % (1806225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.29 % (1806225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.29 % (1806225)CaDiCaL version: 2.1.3
% 11.17/2.29 % (1806225)Termination reason: Instruction limit
% 11.17/2.29 % (1806225)Termination phase: Saturation
% 11.17/2.29 % (1806225)Time elapsed: 0.055 s
% 11.17/2.29 % (1806225)Peak memory usage: 133 MB
% 11.17/2.29 % (1806225)Instructions burned: 73 (million)
% 11.17/2.29 % (1806210)------------------------------
% 11.17/2.29 % (1806210)------------------------------
% 11.17/2.29 % (1806229)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=2334084241:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 11.17/2.29 % (1806226)Instruction limit reached!
% 11.17/2.29 % (1806226)------------------------------
% 11.17/2.29 % (1806226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.29 % (1806226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.29 % (1806226)CaDiCaL version: 2.1.3
% 11.17/2.29 % (1806226)Termination reason: Instruction limit
% 11.17/2.29 % (1806226)Termination phase: Saturation
% 11.17/2.29 % (1806226)Time elapsed: 0.056 s
% 11.17/2.29 % (1806226)Peak memory usage: 91 MB
% 11.17/2.29 % (1806226)Instructions burned: 75 (million)
% 11.17/2.29 % (1806216)Instruction limit reached!
% 11.17/2.29 % (1806216)------------------------------
% 11.17/2.29 % (1806216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.29 % (1806216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.29 % (1806216)CaDiCaL version: 2.1.3
% 11.17/2.29 % (1806216)Termination reason: Instruction limit
% 11.17/2.29 % (1806216)Termination phase: Saturation
% 11.17/2.29 % (1806216)Time elapsed: 0.227 s
% 11.17/2.29 % (1806216)Peak memory usage: 91 MB
% 11.17/2.29 % (1806216)Instructions burned: 371 (million)
% 11.17/2.29 % (1806222)Instruction limit reached!
% 11.17/2.29 % (1806222)------------------------------
% 11.17/2.29 % (1806222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.29 % (1806222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.29 % (1806222)CaDiCaL version: 2.1.3
% 11.17/2.29 % (1806222)Termination reason: Instruction limit
% 11.17/2.29 % (1806222)Termination phase: Saturation
% 11.17/2.29 % (1806222)Time elapsed: 0.158 s
% 11.17/2.29 % (1806222)Peak memory usage: 117 MB
% 11.17/2.29 % (1806222)Instructions burned: 226 (million)
% 11.17/2.29 % (1806235)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2226248246:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 11.17/2.29 % (1806234)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=4041341309:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2990 on theBenchmark for (2990ds/130Mi)
% 11.17/2.29 % (1806236)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=790971894:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 11.17/2.29 % (1806235)Instruction limit reached!
% 11.17/2.29 % (1806235)------------------------------
% 11.17/2.29 % (1806235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.29 % (1806235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.29 % (1806235)CaDiCaL version: 2.1.3
% 11.17/2.29 % (1806235)Termination reason: Instruction limit
% 11.17/2.29 % (1806235)Termination phase: Saturation
% 11.17/2.29 % (1806235)Time elapsed: 0.078 s
% 11.17/2.29 % (1806235)Peak memory usage: 134 MB
% 11.17/2.29 % (1806235)Instructions burned: 134 (million)
% 11.17/2.29 % (1806238)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1342121639:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 12.06/2.44 % (1806229)Instruction limit reached!
% 12.06/2.44 % (1806229)------------------------------
% 12.06/2.44 % (1806229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806229)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806229)Termination reason: Instruction limit
% 12.06/2.44 % (1806229)Termination phase: Saturation
% 12.06/2.44 % (1806229)Time elapsed: 0.198 s
% 12.06/2.44 % (1806229)Peak memory usage: 91 MB
% 12.06/2.44 % (1806229)Instructions burned: 294 (million)
% 12.06/2.44 % (1806236)Instruction limit reached!
% 12.06/2.44 % (1806236)------------------------------
% 12.06/2.44 % (1806236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806236)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806236)Termination reason: Instruction limit
% 12.06/2.44 % (1806236)Termination phase: Saturation
% 12.06/2.44 % (1806236)Time elapsed: 0.069 s
% 12.06/2.44 % (1806236)Peak memory usage: 134 MB
% 12.06/2.44 % (1806236)Instructions burned: 40 (million)
% 12.06/2.44 % (1806234)Instruction limit reached!
% 12.06/2.44 % (1806234)------------------------------
% 12.06/2.44 % (1806234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806234)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806234)Termination reason: Instruction limit
% 12.06/2.44 % (1806234)Termination phase: Saturation
% 12.06/2.44 % (1806234)Time elapsed: 0.107 s
% 12.06/2.44 % (1806234)Peak memory usage: 117 MB
% 12.06/2.44 % (1806234)Instructions burned: 130 (million)
% 12.06/2.44 % (1806239)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=700116201:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/598Mi)
% 12.06/2.44 % (1806241)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1982906397:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 12.06/2.44 % (1806244)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=283393001:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2988 on theBenchmark for (2988ds/259Mi)
% 12.06/2.44 % (1806246)dis+10_1_si=on:random_seed=927125110:s2a=on:i=1000:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/1000Mi)
% 12.06/2.44 % (1806247)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=1614017489:i=383:fsr=off:rtra=on:ev=force_2988 on theBenchmark for (2988ds/383Mi)
% 12.06/2.44 % (1806241)Instruction limit reached!
% 12.06/2.44 % (1806241)------------------------------
% 12.06/2.44 % (1806241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806241)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806241)Termination reason: Instruction limit
% 12.06/2.44 % (1806241)Termination phase: Saturation
% 12.06/2.44 % (1806241)Time elapsed: 0.116 s
% 12.06/2.44 % (1806241)Peak memory usage: 118 MB
% 12.06/2.44 % (1806241)Instructions burned: 131 (million)
% 12.06/2.44 % (1806238)Instruction limit reached!
% 12.06/2.44 % (1806238)------------------------------
% 12.06/2.44 % (1806238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806238)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806238)Termination reason: Instruction limit
% 12.06/2.44 % (1806238)Termination phase: Saturation
% 12.06/2.44 % (1806238)Time elapsed: 0.183 s
% 12.06/2.44 % (1806238)Peak memory usage: 92 MB
% 12.06/2.44 % (1806238)Instructions burned: 309 (million)
% 12.06/2.44 % (1806248)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=1250777507:i=141:doe=on:rtra=on_2988 on theBenchmark for (2988ds/141Mi)
% 12.06/2.44 % (1806244)Instruction limit reached!
% 12.06/2.44 % (1806244)------------------------------
% 12.06/2.44 % (1806244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806244)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806244)Termination reason: Instruction limit
% 12.06/2.44 % (1806244)Termination phase: Saturation
% 12.06/2.44 % (1806244)Time elapsed: 0.099 s
% 12.06/2.44 % (1806244)Peak memory usage: 117 MB
% 12.06/2.44 % (1806244)Instructions burned: 260 (million)
% 12.06/2.44 % (1806248)Instruction limit reached!
% 12.06/2.44 % (1806248)------------------------------
% 12.06/2.44 % (1806248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806248)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806248)Termination reason: Instruction limit
% 12.06/2.44 % (1806248)Termination phase: Saturation
% 12.06/2.44 % (1806248)Time elapsed: 0.094 s
% 12.06/2.44 % (1806248)Peak memory usage: 91 MB
% 12.06/2.44 % (1806248)Instructions burned: 141 (million)
% 12.06/2.44 % (1806257)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=2987398091:s2a=on:i=128:s2at=5:ins=3:rtra=on_2986 on theBenchmark for (2986ds/128Mi)
% 12.06/2.44 % (1806256)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=3872173720:i=121:nm=16:rtra=on_2986 on theBenchmark for (2986ds/121Mi)
% 12.06/2.44 % (1806254)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=1433517938:i=65:nm=16:rtra=on_2986 on theBenchmark for (2986ds/65Mi)
% 12.06/2.44 % (1806257)Instruction limit reached!
% 12.06/2.44 % (1806257)------------------------------
% 12.06/2.44 % (1806257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806257)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806257)Termination reason: Instruction limit
% 12.06/2.44 % (1806257)Termination phase: Saturation
% 12.06/2.44 % (1806257)Time elapsed: 0.059 s
% 12.06/2.44 % (1806257)Peak memory usage: 118 MB
% 12.06/2.44 % (1806257)Instructions burned: 130 (million)
% 12.06/2.44 % (1806254)First to succeed.
% 12.06/2.44 % (1806247)Instruction limit reached!
% 12.06/2.44 % (1806247)------------------------------
% 12.06/2.44 % (1806247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806247)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806247)Termination reason: Instruction limit
% 12.06/2.44 % (1806247)Termination phase: Saturation
% 12.06/2.44 % (1806247)Time elapsed: 0.223 s
% 12.06/2.44 % (1806247)Peak memory usage: 93 MB
% 12.06/2.44 % (1806247)Instructions burned: 385 (million)
% 12.06/2.44 % (1806254)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1806055"
% 12.06/2.44 % (1806256)Instruction limit reached!
% 12.06/2.44 % (1806256)------------------------------
% 12.06/2.44 % (1806256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806256)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806256)Termination reason: Instruction limit
% 12.06/2.44 % (1806256)Termination phase: Saturation
% 12.06/2.44 % (1806256)Time elapsed: 0.076 s
% 12.06/2.44 % (1806256)Peak memory usage: 90 MB
% 12.06/2.44 % (1806256)Instructions burned: 122 (million)
% 12.06/2.44 % (1806258)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=1605255394:i=39:ins=3:rtra=on_2985 on theBenchmark for (2985ds/39Mi)
% 12.06/2.44 % (1806239)Instruction limit reached!
% 12.06/2.44 % (1806239)------------------------------
% 12.06/2.44 % (1806239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806239)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806239)Termination reason: Instruction limit
% 12.06/2.44 % (1806239)Termination phase: Saturation
% 12.06/2.44 % (1806239)Time elapsed: 0.442 s
% 12.06/2.44 % (1806239)Peak memory usage: 139 MB
% 12.06/2.44 % (1806239)Instructions burned: 599 (million)
% 12.06/2.44 % (1806262)dis+1010_1_to=kbo:si=on:random_seed=378686494:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2984 on theBenchmark for (2984ds/175Mi)
% 12.06/2.44 % (1806258)Instruction limit reached!
% 12.06/2.44 % (1806258)------------------------------
% 12.06/2.44 % (1806258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806258)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806258)Termination reason: Instruction limit
% 12.06/2.44 % (1806258)Termination phase: Saturation
% 12.06/2.44 % (1806258)Time elapsed: 0.050 s
% 12.06/2.44 % (1806258)Peak memory usage: 116 MB
% 12.06/2.44 % (1806258)Instructions burned: 39 (million)
% 12.06/2.44 % (1806263)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2489785661:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/329Mi)
% 12.06/2.44 % (1806262)Instruction limit reached!
% 12.06/2.44 % (1806262)------------------------------
% 12.06/2.44 % (1806262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.44 % (1806262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.44 % (1806262)CaDiCaL version: 2.1.3
% 12.06/2.44 % (1806262)Termination reason: Instruction limit
% 12.06/2.44 % (1806262)Termination phase: Saturation
% 12.06/2.44 % (1806262)Time elapsed: 0.066 s
% 12.06/2.44 % (1806262)Peak memory usage: 91 MB
% 12.06/2.44 % (1806262)Instructions burned: 179 (million)
% 12.06/2.44 % (1806264)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=1045234473:s2a=on:i=483:doe=on:nm=32:rtra=on_2984 on theBenchmark for (2984ds/483Mi)
% 12.06/2.44 % (1806266)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=3647623327:thitd=on:i=215:nm=0:rtra=on:ev=force_2983 on theBenchmark for (2983ds/215Mi)
% 12.06/2.44 % (1806254)Refutation found. Thanks to Tanya!
% 12.06/2.44 % SZS status Theorem for theBenchmark
% 12.06/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 13.22/2.64 % (1806254)------------------------------
% 13.22/2.64 % (1806254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.22/2.64 % (1806254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.64 % (1806254)CaDiCaL version: 2.1.3
% 13.22/2.64 % (1806254)Termination reason: Refutation
% 13.22/2.64 % (1806254)Time elapsed: 0.064 s
% 13.22/2.64 % (1806254)Peak memory usage: 117 MB
% 13.22/2.64 % (1806254)Instructions burned: 64 (million)
% 13.22/2.64 % (1806254)------------------------------
% 13.22/2.64 % (1806254)------------------------------
% 13.22/2.64 % (1806055)Success in time 1.794 s
% 13.22/2.64 % Vampire exiting
%------------------------------------------------------------------------------