%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW599_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 : n019.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 01:30:54 PM UTC 2026
% Result : Theorem 8.64s 1.90s
% Output : Refutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 105 ( 19 unt; 0 typ; 14 def)
% Number of atoms : 622 ( 172 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 814 ( 297 ~; 219 |; 215 &)
% ( 17 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 1106 ( 242 atm; 289 fun; 433 num; 142 var)
% Number of types : 9 ( 7 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 16 usr; 15 prp; 0-3 aty)
% Number of functors : 51 ( 45 usr; 20 con; 0-5 aty)
% Number of variables : 190 ( 141 !; 49 ?; 190 :)
% 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,
array_int: $tType ).
tff(type_def_10,type,
map_int_int: $tType ).
tff(type_def_11,type,
map_int_bool: $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,
map: ( ty * ty ) > ty ).
tff(func_def_16,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_17,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_18,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_19,type,
array: ty > ty ).
tff(func_def_20,type,
mk_array1: ( ty * $int * uni ) > uni ).
tff(func_def_21,type,
length1: ( ty * uni ) > $int ).
tff(func_def_22,type,
elts: ( ty * uni ) > uni ).
tff(func_def_23,type,
get2: ( ty * uni * $int ) > uni ).
tff(func_def_24,type,
t2tb: $int > uni ).
tff(func_def_25,type,
tb2t: uni > $int ).
tff(func_def_26,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(func_def_27,type,
make1: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
t2tb1: array_int > uni ).
tff(func_def_29,type,
tb2t1: uni > array_int ).
tff(func_def_30,type,
t2tb2: map_int_int > uni ).
tff(func_def_31,type,
tb2t2: uni > map_int_int ).
tff(func_def_32,type,
t2tb3: bool1 > uni ).
tff(func_def_33,type,
tb2t3: uni > bool1 ).
tff(func_def_34,type,
t2tb4: map_int_bool > uni ).
tff(func_def_35,type,
tb2t4: uni > map_int_bool ).
tff(func_def_40,type,
sK0: map_int_int ).
tff(func_def_41,type,
sK1: $int ).
tff(func_def_42,type,
sK2: $int ).
tff(func_def_43,type,
sK3: $int ).
tff(func_def_44,type,
sK4: $int ).
tff(func_def_45,type,
sK5: map_int_bool ).
tff(func_def_46,type,
sK6: $int ).
tff(func_def_47,type,
sK7: $int ).
tff(func_def_48,type,
sK8: $int > $int ).
tff(func_def_49,type,
sK9: ( $int * array_int * $int ) > $int ).
tff(func_def_50,type,
sK10: ( $int * array_int * $int ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
appear_twice1: ( array_int * $int * $int ) > $o ).
tff(f22,axiom,
! [X2: uni,X0: ty,X1: $int] :
( sort1(map(int,X0),X2)
=> ( elts(X0,mk_array1(X0,X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',elts_def1) ).
tff(f26,axiom,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL) ).
tff(f27,axiom,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR) ).
tff(f28,axiom,
! [X1: uni,X0: ty,X2: $int] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',get_def) ).
tff(f35,axiom,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f36,axiom,
! [X2: $int,X0: array_int,X1: $int] :
( appear_twice1(X0,X1,X2)
<=> ? [X3: $int] :
( ? [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),X4)) = X1 )
& $less(X4,X2)
& ( X4 != X3 )
& $lesseq(0,X4) )
& ( tb2t(get2(int,t2tb1(X0),X3)) = X1 )
& $less(X3,X2)
& $lesseq(0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',appear_twice_def) ).
tff(f37,axiom,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort2) ).
tff(f46,conjecture,
! [X0: $int,X2: $int,X1: map_int_int] :
( ( ! [X3: $int] :
( ( $less(X3,X0)
& $lesseq(0,X3) )
=> ( $lesseq(0,tb2t(get(int,int,t2tb2(X1),t2tb(X3))))
& $less(tb2t(get(int,int,t2tb2(X1),t2tb(X3))),X2) ) )
& $lesseq(2,X2)
& ? [X4: $int] :
( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2))
& ? [X5: $int] :
( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X5,$sum(X2,2)) ) )
& ( X0 = $sum(X2,2) )
& $lesseq(0,X0) )
=> ( $lesseq(0,X2)
=> ( $lesseq(0,X2)
=> ( $lesseq(0,$sum(X2,1))
=> ! [X5: $int,X4: $int,X6: map_int_bool] :
( ( ! [X7: $int] :
( ( $lesseq(0,X7)
& $less(X7,X2) )
=> ( ( ( tb2t3(get(bool,int,t2tb4(X6),t2tb(X7))) != true1 )
& ! [X8: $int] :
( ( $lesseq(0,X8)
& $less(X8,$sum($sum(X2,1),1)) )
=> ( tb2t(get(int,int,t2tb2(X1),t2tb(X8))) != X7 ) ) )
| ( ( tb2t3(get(bool,int,t2tb4(X6),t2tb(X7))) = true1 )
& ? [X8: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X8))) = X7 )
& $lesseq(0,X8)
& $less(X8,$sum($sum(X2,1),1)) ) ) ) )
& ( ( X4 != $uminus(1) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum($sum(X2,1),1)) )
& ( ( X4 = $uminus(1) )
=> ! [X7: $int] :
( ( $less(X7,X2)
& $lesseq(0,X7) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) ) )
& ( ( X5 = $uminus(1) )
=> ! [X7: $int] :
( ( $lesseq(0,X7)
& $less(X7,X2) )
=> ( ( X7 != X4 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) ) ) )
& ( ( X5 != $uminus(1) )
=> ( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X5,$sum($sum(X2,1),1)) ) )
& ( ( X4 = $uminus(1) )
=> ( X5 = $uminus(1) ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_two_equal_elements) ).
tff(f47,negated_conjecture,
~ ! [X0: $int,X2: $int,X1: map_int_int] :
( ( ! [X3: $int] :
( ( $less(X3,X0)
& $lesseq(0,X3) )
=> ( $lesseq(0,tb2t(get(int,int,t2tb2(X1),t2tb(X3))))
& $less(tb2t(get(int,int,t2tb2(X1),t2tb(X3))),X2) ) )
& $lesseq(2,X2)
& ? [X4: $int] :
( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2))
& ? [X5: $int] :
( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X5,$sum(X2,2)) ) )
& ( X0 = $sum(X2,2) )
& $lesseq(0,X0) )
=> ( $lesseq(0,X2)
=> ( $lesseq(0,X2)
=> ( $lesseq(0,$sum(X2,1))
=> ! [X5: $int,X4: $int,X6: map_int_bool] :
( ( ! [X7: $int] :
( ( $lesseq(0,X7)
& $less(X7,X2) )
=> ( ( ( tb2t3(get(bool,int,t2tb4(X6),t2tb(X7))) != true1 )
& ! [X8: $int] :
( ( $lesseq(0,X8)
& $less(X8,$sum($sum(X2,1),1)) )
=> ( tb2t(get(int,int,t2tb2(X1),t2tb(X8))) != X7 ) ) )
| ( ( tb2t3(get(bool,int,t2tb4(X6),t2tb(X7))) = true1 )
& ? [X8: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X8))) = X7 )
& $lesseq(0,X8)
& $less(X8,$sum($sum(X2,1),1)) ) ) ) )
& ( ( X4 != $uminus(1) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum($sum(X2,1),1)) )
& ( ( X4 = $uminus(1) )
=> ! [X7: $int] :
( ( $less(X7,X2)
& $lesseq(0,X7) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) ) )
& ( ( X5 = $uminus(1) )
=> ! [X7: $int] :
( ( $lesseq(0,X7)
& $less(X7,X2) )
=> ( ( X7 != X4 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) ) ) )
& ( ( X5 != $uminus(1) )
=> ( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X5,$sum($sum(X2,1),1)) ) )
& ( ( X4 = $uminus(1) )
=> ( X5 = $uminus(1) ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
tff(f48,plain,
~ ! [X0: $int,X2: $int,X1: map_int_int] :
( ( ! [X3: $int] :
( ( ~ $less(X3,0)
& $less(X3,X0) )
=> ( ~ $less(tb2t(get(int,int,t2tb2(X1),t2tb(X3))),0)
& $less(tb2t(get(int,int,t2tb2(X1),t2tb(X3))),X2) ) )
& ~ $less(X2,2)
& ? [X4: $int] :
( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2))
& ? [X5: $int] :
( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X5,$sum(X2,2)) ) )
& ( X0 = $sum(X2,2) )
& ~ $less(X0,0) )
=> ( ~ $less(X2,0)
=> ( ~ $less(X2,0)
=> ( ~ $less($sum(X2,1),0)
=> ! [X5: $int,X4: $int,X6: map_int_bool] :
( ( ! [X7: $int] :
( ( ~ $less(X7,0)
& $less(X7,X2) )
=> ( ( ( tb2t3(get(bool,int,t2tb4(X6),t2tb(X7))) != true1 )
& ! [X8: $int] :
( ( ~ $less(X8,0)
& $less(X8,$sum($sum(X2,1),1)) )
=> ( tb2t(get(int,int,t2tb2(X1),t2tb(X8))) != X7 ) ) )
| ( ( tb2t3(get(bool,int,t2tb4(X6),t2tb(X7))) = true1 )
& ? [X8: $int] :
( ( tb2t(get(int,int,t2tb2(X1),t2tb(X8))) = X7 )
& ~ $less(X8,0)
& $less(X8,$sum($sum(X2,1),1)) ) ) ) )
& ( ( X4 != $uminus(1) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum($sum(X2,1),1)) )
& ( ( X4 = $uminus(1) )
=> ! [X7: $int] :
( ( $less(X7,X2)
& ~ $less(X7,0) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) ) )
& ( ( X5 = $uminus(1) )
=> ! [X7: $int] :
( ( ~ $less(X7,0)
& $less(X7,X2) )
=> ( ( X7 != X4 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X7,$sum($sum(X2,1),1)) ) ) )
& ( ( X5 != $uminus(1) )
=> ( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X5,$sum($sum(X2,1),1)) ) )
& ( ( X4 = $uminus(1) )
=> ( X5 = $uminus(1) ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X4,$sum(X2,2)) ) ) ) ) ),
inference(theory_normalization,[],[f47]) ).
tff(f49,plain,
! [X2: $int,X0: array_int,X1: $int] :
( appear_twice1(X0,X1,X2)
<=> ? [X3: $int] :
( ? [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),X4)) = X1 )
& $less(X4,X2)
& ( X4 != X3 )
& ~ $less(X4,0) )
& ( tb2t(get2(int,t2tb1(X0),X3)) = X1 )
& $less(X3,X2)
& ~ $less(X3,0) ) ),
inference(theory_normalization,[],[f36]) ).
tff(f51,plain,
~ ! [X2: map_int_int,X1: $int,X0: $int] :
( ( ! [X3: $int] :
( ( ~ $less(X3,0)
& $less(X3,X0) )
=> ( $less(tb2t(get(int,int,t2tb2(X2),t2tb(X3))),X1)
& ~ $less(tb2t(get(int,int,t2tb2(X2),t2tb(X3))),0) ) )
& ( $sum(X1,2) = X0 )
& ? [X4: $int] :
( ? [X5: $int] :
( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X5,$sum(X1,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X4,$sum(X1,2)) )
& ~ $less(X1,2)
& ~ $less(X0,0) )
=> ( ~ $less(X1,0)
=> ( ~ $less(X1,0)
=> ( ~ $less($sum(X1,1),0)
=> ! [X7: $int,X6: $int,X8: map_int_bool] :
( ( ( ( $uminus(1) = X7 )
=> ! [X12: $int] :
( ( $less(X12,X1)
& ~ $less(X12,0) )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X12,$sum($sum(X1,1),1)) ) )
& ( ( $uminus(1) = X7 )
=> ( $uminus(1) = X6 ) )
& ( ( $uminus(1) != X7 )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X7,$sum($sum(X1,1),1)) )
& ( ( $uminus(1) != X6 )
=> ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X6,$sum($sum(X1,1),1)) ) )
& ! [X9: $int] :
( ( ~ $less(X9,0)
& $less(X9,X1) )
=> ( ( ! [X10: $int] :
( ( ~ $less(X10,0)
& $less(X10,$sum($sum(X1,1),1)) )
=> ( tb2t(get(int,int,t2tb2(X2),t2tb(X10))) != X9 ) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X9))) ) )
| ( ? [X11: $int] :
( ( tb2t(get(int,int,t2tb2(X2),t2tb(X11))) = X9 )
& ~ $less(X11,0)
& $less(X11,$sum($sum(X1,1),1)) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X9))) ) ) ) )
& ( ( $uminus(1) = X6 )
=> ! [X13: $int] :
( ( $less(X13,X1)
& ~ $less(X13,0) )
=> ( ( X7 != X13 )
=> ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X13,$sum($sum(X1,1),1)) ) ) ) )
=> appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X7,$sum(X1,2)) ) ) ) ) ),
inference(rectify,[],[f48]) ).
tff(f52,plain,
! [X2: $int,X1: array_int,X0: $int] :
( appear_twice1(X1,X2,X0)
<=> ? [X3: $int] :
( ( tb2t(get2(int,t2tb1(X1),X3)) = X2 )
& ~ $less(X3,0)
& $less(X3,X0)
& ? [X4: $int] :
( ~ $less(X4,0)
& $less(X4,X0)
& ( X4 != X3 )
& ( tb2t(get2(int,t2tb1(X1),X4)) = X2 ) ) ) ),
inference(rectify,[],[f49]) ).
tff(f54,plain,
! [X2: $int,X1: ty,X0: uni] : ( get2(X1,X0,X2) = get(X1,int,elts(X1,X0),t2tb(X2)) ),
inference(rectify,[],[f28]) ).
tff(f56,plain,
! [X0: uni,X1: ty,X2: $int] :
( sort1(map(int,X1),X0)
=> ( elts(X1,mk_array1(X1,X2,X0)) = X0 ) ),
inference(rectify,[],[f22]) ).
tff(f58,plain,
! [X0: uni,X1: ty,X2: $int] :
( ( elts(X1,mk_array1(X1,X2,X0)) = X0 )
| ~ sort1(map(int,X1),X0) ),
inference(ennf_transformation,[],[f56]) ).
tff(f59,plain,
? [X2: map_int_int,X1: $int,X0: $int] :
( ? [X7: $int,X6: $int,X8: map_int_bool] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X7,$sum(X1,2))
& ( ! [X12: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X12,$sum($sum(X1,1),1))
| ~ $less(X12,X1)
| $less(X12,0) )
| ( $uminus(1) != X7 ) )
& ( ( $uminus(1) != X7 )
| ( $uminus(1) = X6 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X7,$sum($sum(X1,1),1))
| ( $uminus(1) = X7 ) )
& ( ( $uminus(1) = X6 )
| ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X6,$sum($sum(X1,1),1)) ) )
& ! [X9: $int] :
( ( ! [X10: $int] :
( ( tb2t(get(int,int,t2tb2(X2),t2tb(X10))) != X9 )
| $less(X10,0)
| ~ $less(X10,$sum($sum(X1,1),1)) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X9))) ) )
| ( ? [X11: $int] :
( ( tb2t(get(int,int,t2tb2(X2),t2tb(X11))) = X9 )
& ~ $less(X11,0)
& $less(X11,$sum($sum(X1,1),1)) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X9))) ) )
| $less(X9,0)
| ~ $less(X9,X1) )
& ( ! [X13: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X13,$sum($sum(X1,1),1))
| ( X7 = X13 )
| ~ $less(X13,X1)
| $less(X13,0) )
| ( $uminus(1) != X6 ) ) )
& ~ $less($sum(X1,1),0)
& ~ $less(X1,0)
& ~ $less(X1,0)
& ! [X3: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X2),t2tb(X3))),X1)
& ~ $less(tb2t(get(int,int,t2tb2(X2),t2tb(X3))),0) )
| $less(X3,0)
| ~ $less(X3,X0) )
& ( $sum(X1,2) = X0 )
& ? [X4: $int] :
( ? [X5: $int] :
( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X5,$sum(X1,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X4,$sum(X1,2)) )
& ~ $less(X1,2)
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f51]) ).
tff(f60,plain,
? [X2: map_int_int,X0: $int,X1: $int] :
( ~ $less(X0,0)
& ? [X4: $int] :
( ? [X5: $int] :
( ( X5 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X5,$sum(X1,2)) )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X4,$sum(X1,2)) )
& ~ $less(X1,0)
& ( $sum(X1,2) = X0 )
& ? [X8: map_int_bool,X7: $int,X6: $int] :
( ( ! [X13: $int] :
( ~ $less(X13,X1)
| ( X7 = X13 )
| $less(X13,0)
| ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X13,$sum($sum(X1,1),1)) )
| ( $uminus(1) != X6 ) )
& ( ( $uminus(1) != X7 )
| ( $uminus(1) = X6 ) )
& ( ! [X12: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X12,$sum($sum(X1,1),1))
| $less(X12,0)
| ~ $less(X12,X1) )
| ( $uminus(1) != X7 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X7,$sum($sum(X1,1),1))
| ( $uminus(1) = X7 ) )
& ~ appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X7,$sum(X1,2))
& ! [X9: $int] :
( ( ! [X10: $int] :
( ( tb2t(get(int,int,t2tb2(X2),t2tb(X10))) != X9 )
| $less(X10,0)
| ~ $less(X10,$sum($sum(X1,1),1)) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X8),t2tb(X9))) ) )
| ~ $less(X9,X1)
| $less(X9,0)
| ( ? [X11: $int] :
( ( tb2t(get(int,int,t2tb2(X2),t2tb(X11))) = X9 )
& ~ $less(X11,0)
& $less(X11,$sum($sum(X1,1),1)) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X8),t2tb(X9))) ) ) )
& ( ( $uminus(1) = X6 )
| ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X0,t2tb2(X2))),X6,$sum($sum(X1,1),1)) ) ) )
& ! [X3: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X2),t2tb(X3))),X1)
& ~ $less(tb2t(get(int,int,t2tb2(X2),t2tb(X3))),0) )
| $less(X3,0)
| ~ $less(X3,X0) )
& ~ $less(X1,0)
& ~ $less($sum(X1,1),0)
& ~ $less(X1,2) ),
inference(flattening,[],[f59]) ).
tff(f64,plain,
? [X0: map_int_int,X1: $int,X2: $int] :
( ~ $less(X1,0)
& ? [X3: $int] :
( ? [X4: $int] :
( ( X3 != X4 )
& appear_twice1(tb2t1(mk_array1(int,X1,t2tb2(X0))),X4,$sum(X2,2)) )
& appear_twice1(tb2t1(mk_array1(int,X1,t2tb2(X0))),X3,$sum(X2,2)) )
& ~ $less(X2,0)
& ( $sum(X2,2) = X1 )
& ? [X5: map_int_bool,X6: $int,X7: $int] :
( ( ! [X8: $int] :
( ~ $less(X8,X2)
| ( X6 = X8 )
| $less(X8,0)
| ~ appear_twice1(tb2t1(mk_array1(int,X1,t2tb2(X0))),X8,$sum($sum(X2,1),1)) )
| ( $uminus(1) != X7 ) )
& ( ( $uminus(1) != X6 )
| ( $uminus(1) = X7 ) )
& ( ! [X9: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,X1,t2tb2(X0))),X9,$sum($sum(X2,1),1))
| $less(X9,0)
| ~ $less(X9,X2) )
| ( $uminus(1) != X6 ) )
& ( appear_twice1(tb2t1(mk_array1(int,X1,t2tb2(X0))),X6,$sum($sum(X2,1),1))
| ( $uminus(1) = X6 ) )
& ~ appear_twice1(tb2t1(mk_array1(int,X1,t2tb2(X0))),X6,$sum(X2,2))
& ! [X10: $int] :
( ( ! [X11: $int] :
( ( tb2t(get(int,int,t2tb2(X0),t2tb(X11))) != X10 )
| $less(X11,0)
| ~ $less(X11,$sum($sum(X2,1),1)) )
& ( true1 != tb2t3(get(bool,int,t2tb4(X5),t2tb(X10))) ) )
| ~ $less(X10,X2)
| $less(X10,0)
| ( ? [X12: $int] :
( ( tb2t(get(int,int,t2tb2(X0),t2tb(X12))) = X10 )
& ~ $less(X12,0)
& $less(X12,$sum($sum(X2,1),1)) )
& ( true1 = tb2t3(get(bool,int,t2tb4(X5),t2tb(X10))) ) ) )
& ( ( $uminus(1) = X7 )
| ( ( X6 != X7 )
& appear_twice1(tb2t1(mk_array1(int,X1,t2tb2(X0))),X7,$sum($sum(X2,1),1)) ) ) )
& ! [X13: $int] :
( ( $less(tb2t(get(int,int,t2tb2(X0),t2tb(X13))),X2)
& ~ $less(tb2t(get(int,int,t2tb2(X0),t2tb(X13))),0) )
| $less(X13,0)
| ~ $less(X13,X1) )
& ~ $less(X2,0)
& ~ $less($sum(X2,1),0)
& ~ $less(X2,2) ),
inference(rectify,[],[f60]) ).
tff(f65,plain,
( ~ $less(sK1,0)
& ( sK3 != sK4 )
& appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK4,$sum(sK2,2))
& appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK3,$sum(sK2,2))
& ~ $less(sK2,0)
& ( sK1 = $sum(sK2,2) )
& ( ! [X8: $int] :
( ~ $less(X8,sK2)
| ( sK6 = X8 )
| $less(X8,0)
| ~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),X8,$sum($sum(sK2,1),1)) )
| ( $uminus(1) != sK7 ) )
& ( ( $uminus(1) != sK6 )
| ( $uminus(1) = sK7 ) )
& ( ! [X9: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),X9,$sum($sum(sK2,1),1))
| $less(X9,0)
| ~ $less(X9,sK2) )
| ( $uminus(1) != sK6 ) )
& ( appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK6,$sum($sum(sK2,1),1))
| ( $uminus(1) = sK6 ) )
& ~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK6,$sum(sK2,2))
& ! [X10: $int] :
( ( ! [X11: $int] :
( ( tb2t(get(int,int,t2tb2(sK0),t2tb(X11))) != X10 )
| $less(X11,0)
| ~ $less(X11,$sum($sum(sK2,1),1)) )
& ( true1 != tb2t3(get(bool,int,t2tb4(sK5),t2tb(X10))) ) )
| ~ $less(X10,sK2)
| $less(X10,0)
| ( ( tb2t(get(int,int,t2tb2(sK0),t2tb(sK8(X10)))) = X10 )
& ~ $less(sK8(X10),0)
& $less(sK8(X10),$sum($sum(sK2,1),1))
& ( true1 = tb2t3(get(bool,int,t2tb4(sK5),t2tb(X10))) ) ) )
& ( ( $uminus(1) = sK7 )
| ( ( sK7 != sK6 )
& appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK7,$sum($sum(sK2,1),1)) ) )
& ! [X13: $int] :
( ( $less(tb2t(get(int,int,t2tb2(sK0),t2tb(X13))),sK2)
& ~ $less(tb2t(get(int,int,t2tb2(sK0),t2tb(X13))),0) )
| $less(X13,0)
| ~ $less(X13,sK1) )
& ~ $less(sK2,0)
& ~ $less($sum(sK2,1),0)
& ~ $less(sK2,2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X12,sK8(X10))],[f64]) ).
tff(f66,plain,
! [X2: $int,X1: array_int,X0: $int] :
( ( appear_twice1(X1,X2,X0)
| ! [X3: $int] :
( ( tb2t(get2(int,t2tb1(X1),X3)) != X2 )
| $less(X3,0)
| ~ $less(X3,X0)
| ! [X4: $int] :
( $less(X4,0)
| ~ $less(X4,X0)
| ( X3 = X4 )
| ( tb2t(get2(int,t2tb1(X1),X4)) != X2 ) ) ) )
& ( ? [X3: $int] :
( ( tb2t(get2(int,t2tb1(X1),X3)) = X2 )
& ~ $less(X3,0)
& $less(X3,X0)
& ? [X4: $int] :
( ~ $less(X4,0)
& $less(X4,X0)
& ( X4 != X3 )
& ( tb2t(get2(int,t2tb1(X1),X4)) = X2 ) ) )
| ~ appear_twice1(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f52]) ).
tff(f67,plain,
! [X0: $int,X1: array_int,X2: $int] :
( ( appear_twice1(X1,X0,X2)
| ! [X3: $int] :
( ( tb2t(get2(int,t2tb1(X1),X3)) != X0 )
| $less(X3,0)
| ~ $less(X3,X2)
| ! [X4: $int] :
( $less(X4,0)
| ~ $less(X4,X2)
| ( X3 = X4 )
| ( tb2t(get2(int,t2tb1(X1),X4)) != X0 ) ) ) )
& ( ? [X5: $int] :
( ( tb2t(get2(int,t2tb1(X1),X5)) = X0 )
& ~ $less(X5,0)
& $less(X5,X2)
& ? [X6: $int] :
( ~ $less(X6,0)
& $less(X6,X2)
& ( X5 != X6 )
& ( tb2t(get2(int,t2tb1(X1),X6)) = X0 ) ) )
| ~ appear_twice1(X1,X0,X2) ) ),
inference(rectify,[],[f66]) ).
tff(f68,plain,
! [X0: $int,X1: array_int,X2: $int] :
( ( appear_twice1(X1,X0,X2)
| ! [X3: $int] :
( ( tb2t(get2(int,t2tb1(X1),X3)) != X0 )
| $less(X3,0)
| ~ $less(X3,X2)
| ! [X4: $int] :
( $less(X4,0)
| ~ $less(X4,X2)
| ( X3 = X4 )
| ( tb2t(get2(int,t2tb1(X1),X4)) != X0 ) ) ) )
& ( ( ( tb2t(get2(int,t2tb1(X1),sK9(X0,X1,X2))) = X0 )
& ~ $less(sK9(X0,X1,X2),0)
& $less(sK9(X0,X1,X2),X2)
& ~ $less(sK10(X0,X1,X2),0)
& $less(sK10(X0,X1,X2),X2)
& ( sK10(X0,X1,X2) != sK9(X0,X1,X2) )
& ( tb2t(get2(int,t2tb1(X1),sK10(X0,X1,X2))) = X0 ) )
| ~ appear_twice1(X1,X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X5,sK9(X0,X1,X2)),skolemize(X6,sK10(X0,X1,X2))],[f67]) ).
tff(f69,plain,
! [X0: $int,X1: ty,X2: uni] : ( get(X1,int,elts(X1,X2),t2tb(X0)) = get2(X1,X2,X0) ),
inference(rectify,[],[f54]) ).
tff(f71,plain,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
inference(cnf_transformation,[],[f37]) ).
tff(f73,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f27]) ).
tff(f75,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f35]) ).
tff(f77,plain,
! [X2: $int,X0: uni,X1: ty] :
( ( elts(X1,mk_array1(X1,X2,X0)) = X0 )
| ~ sort1(map(int,X1),X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f82,plain,
! [X13: $int] :
( ~ $less(tb2t(get(int,int,t2tb2(sK0),t2tb(X13))),0)
| ~ $less(X13,sK1)
| $less(X13,0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f83,plain,
! [X13: $int] :
( $less(tb2t(get(int,int,t2tb2(sK0),t2tb(X13))),sK2)
| ~ $less(X13,sK1)
| $less(X13,0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f94,plain,
~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK6,$sum(sK2,2)),
inference(cnf_transformation,[],[f65]) ).
tff(f95,plain,
( ( $uminus(1) = sK6 )
| appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK6,$sum($sum(sK2,1),1)) ),
inference(cnf_transformation,[],[f65]) ).
tff(f96,plain,
! [X9: $int] :
( ( $uminus(1) != sK6 )
| $less(X9,0)
| ~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),X9,$sum($sum(sK2,1),1))
| ~ $less(X9,sK2) ),
inference(cnf_transformation,[],[f65]) ).
tff(f99,plain,
sK1 = $sum(sK2,2),
inference(cnf_transformation,[],[f65]) ).
tff(f101,plain,
appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK3,$sum(sK2,2)),
inference(cnf_transformation,[],[f65]) ).
tff(f107,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(cnf_transformation,[],[f26]) ).
tff(f112,plain,
! [X2: $int,X0: $int,X1: array_int] :
( $less(sK9(X0,X1,X2),X2)
| ~ appear_twice1(X1,X0,X2) ),
inference(cnf_transformation,[],[f68]) ).
tff(f113,plain,
! [X2: $int,X0: $int,X1: array_int] :
( ~ $less(sK9(X0,X1,X2),0)
| ~ appear_twice1(X1,X0,X2) ),
inference(cnf_transformation,[],[f68]) ).
tff(f114,plain,
! [X2: $int,X0: $int,X1: array_int] :
( ( tb2t(get2(int,t2tb1(X1),sK9(X0,X1,X2))) = X0 )
| ~ appear_twice1(X1,X0,X2) ),
inference(cnf_transformation,[],[f68]) ).
tff(f118,plain,
! [X2: uni,X0: $int,X1: ty] : ( get(X1,int,elts(X1,X2),t2tb(X0)) = get2(X1,X2,X0) ),
inference(cnf_transformation,[],[f69]) ).
tff(f124,plain,
! [X2: $int,X0: $int,X1: array_int] :
( ( tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK9(X0,X1,X2)))) = X0 )
| ~ appear_twice1(X1,X0,X2) ),
inference(definition_unfolding,[],[f114,f118]) ).
tff(f134,plain,
! [X9: $int] :
( ( -1 != sK6 )
| $less(X9,0)
| ~ $less(X9,sK2)
| ~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),X9,$sum($sum(sK2,1),1)) ),
inference(evaluation,[],[f96]) ).
tff(f135,plain,
( ( -1 = sK6 )
| appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK6,$sum($sum(sK2,1),1)) ),
inference(evaluation,[],[f95]) ).
tff(f162,definition,
( spl11_6
<=> appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK3,$sum(sK2,2)) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
tff(f164,plain,
( appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK3,$sum(sK2,2))
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f165,plain,
spl11_6,
inference(avatar_split_clause,[],[f101,f162]) ).
tff(f176,definition,
( spl11_9
<=> ( -1 = sK6 ) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
tff(f186,definition,
( spl11_11
<=> ( sK1 = $sum(sK2,2) ) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
tff(f188,plain,
( ( sK1 = $sum(sK2,2) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f189,plain,
spl11_11,
inference(avatar_split_clause,[],[f99,f186]) ).
tff(f191,definition,
( spl11_12
<=> ! [X9: $int] :
( $less(X9,0)
| ~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),X9,$sum($sum(sK2,1),1))
| ~ $less(X9,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
tff(f192,plain,
( ! [X9: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),X9,$sum($sum(sK2,1),1))
| $less(X9,0)
| ~ $less(X9,sK2) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f193,plain,
( spl11_12
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f134,f176,f191]) ).
tff(f196,definition,
( spl11_13
<=> appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK6,$sum($sum(sK2,1),1)) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
tff(f199,plain,
( spl11_13
| spl11_9 ),
inference(avatar_split_clause,[],[f135,f176,f196]) ).
tff(f201,definition,
( spl11_14
<=> appear_twice1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))),sK6,$sum(sK2,2)) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
tff(f204,plain,
~ spl11_14,
inference(avatar_split_clause,[],[f94,f201]) ).
tff(f237,plain,
( $less(sK9(sK3,tb2t1(mk_array1(int,sK1,t2tb2(sK0))),$sum(sK2,2)),$sum(sK2,2))
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f112,f164]) ).
tff(f238,plain,
( ~ $less(sK9(sK3,tb2t1(mk_array1(int,sK1,t2tb2(sK0))),$sum(sK2,2)),0)
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f113,f164]) ).
tff(f239,plain,
( ( sK3 = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK1,t2tb2(sK0))))),t2tb(sK9(sK3,tb2t1(mk_array1(int,sK1,t2tb2(sK0))),$sum(sK2,2))))) )
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f124,f164]) ).
tff(f241,plain,
( appear_twice1(tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),sK3,$sum(sK2,2))
| ~ spl11_6
| ~ spl11_11 ),
inference(superposition,[],[f164,f188]) ).
tff(f244,plain,
( ( tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))))),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 )
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f239,f188]) ).
tff(f246,plain,
( ~ $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),0)
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f238,f188]) ).
tff(f248,plain,
( $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),$sum(sK2,2))
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f237,f188]) ).
tff(f250,definition,
( spl11_20
<=> appear_twice1(tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),sK3,$sum(sK2,2)) ),
introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition]) ).
tff(f253,plain,
( spl11_20
| ~ spl11_6
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f241,f186,f162,f250]) ).
tff(f264,plain,
( ( tb2t(get(int,int,elts(int,mk_array1(int,$sum(sK2,2),t2tb2(sK0))),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 )
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f244,f75]) ).
tff(f271,definition,
( spl11_24
<=> $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),0) ),
introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition]) ).
tff(f273,plain,
( ~ $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),0)
| spl11_24 ),
inference(avatar_component_clause,[],[f271]) ).
tff(f274,plain,
( ~ spl11_24
| ~ spl11_6
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f246,f186,f162,f271]) ).
tff(f277,definition,
( spl11_25
<=> $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),$sum(sK2,2)) ),
introduced(definition,[new_symbols(definition,[spl11_25])],[avatar_definition]) ).
tff(f279,plain,
( $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),$sum(sK2,2))
| ~ spl11_25 ),
inference(avatar_component_clause,[],[f277]) ).
tff(f280,plain,
( spl11_25
| ~ spl11_6
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f248,f186,f162,f277]) ).
tff(f282,definition,
( spl11_26
<=> ( tb2t(get(int,int,elts(int,mk_array1(int,$sum(sK2,2),t2tb2(sK0))),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl11_26])],[avatar_definition]) ).
tff(f284,plain,
( ( tb2t(get(int,int,elts(int,mk_array1(int,$sum(sK2,2),t2tb2(sK0))),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 )
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f282]) ).
tff(f285,plain,
( spl11_26
| ~ spl11_6
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f264,f186,f162,f282]) ).
tff(f346,plain,
! [X0: uni] :
( $less(tb2t(X0),0)
| $less(tb2t(get(int,int,t2tb2(sK0),X0)),sK2)
| ~ $less(tb2t(X0),sK1) ),
inference(superposition,[],[f83,f73]) ).
tff(f347,plain,
( ! [X0: uni] :
( $less(tb2t(get(int,int,t2tb2(sK0),X0)),sK2)
| ~ $less(tb2t(X0),$sum(sK2,2))
| $less(tb2t(X0),0) )
| ~ spl11_11 ),
inference(forward_demodulation,[],[f346,f188]) ).
tff(f348,plain,
( ! [X0: $int] :
( ~ appear_twice1(tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),X0,$sum($sum(sK2,1),1))
| ~ $less(X0,sK2)
| $less(X0,0) )
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f192,f188]) ).
tff(f427,plain,
( ( tb2t(get(int,int,t2tb2(sK0),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 )
| ~ sort1(map(int,int),t2tb2(sK0))
| ~ spl11_26 ),
inference(superposition,[],[f284,f77]) ).
tff(f435,definition,
( spl11_36
<=> $less(sK3,0) ),
introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition]) ).
tff(f436,plain,
( ~ $less(sK3,0)
| spl11_36 ),
inference(avatar_component_clause,[],[f435]) ).
tff(f439,definition,
( spl11_37
<=> $less(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl11_37])],[avatar_definition]) ).
tff(f440,plain,
( $less(sK3,sK2)
| ~ spl11_37 ),
inference(avatar_component_clause,[],[f439]) ).
tff(f441,plain,
( ~ $less(sK3,sK2)
| spl11_37 ),
inference(avatar_component_clause,[],[f439]) ).
tff(f447,plain,
( ( tb2t(get(int,int,t2tb2(sK0),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 )
| ~ spl11_26 ),
inference(forward_subsumption_resolution,[],[f427,f71]) ).
tff(f454,definition,
( spl11_40
<=> ( tb2t(get(int,int,t2tb2(sK0),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition]) ).
tff(f456,plain,
( ( tb2t(get(int,int,t2tb2(sK0),t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2))))) = sK3 )
| ~ spl11_40 ),
inference(avatar_component_clause,[],[f454]) ).
tff(f457,plain,
( spl11_40
| ~ spl11_26 ),
inference(avatar_split_clause,[],[f447,f282,f454]) ).
tff(f521,plain,
( ~ $less(sK3,0)
| ~ $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),sK1)
| $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),0)
| ~ spl11_40 ),
inference(superposition,[],[f82,f456]) ).
tff(f522,plain,
( $less(sK3,sK2)
| ~ $less(tb2t(t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)))),$sum(sK2,2))
| $less(tb2t(t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)))),0)
| ~ spl11_11
| ~ spl11_40 ),
inference(superposition,[],[f347,f456]) ).
tff(f527,plain,
( ~ $less(tb2t(t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)))),$sum(sK2,2))
| $less(tb2t(t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)))),0)
| ~ spl11_11
| spl11_37
| ~ spl11_40 ),
inference(forward_subsumption_resolution,[],[f522,f441]) ).
tff(f533,plain,
( ~ $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),sK1)
| ~ $less(sK3,0)
| spl11_24
| ~ spl11_40 ),
inference(forward_subsumption_resolution,[],[f521,f273]) ).
tff(f536,plain,
( ~ $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),$sum(sK2,2))
| $less(tb2t(t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)))),0)
| ~ spl11_11
| spl11_37
| ~ spl11_40 ),
inference(forward_demodulation,[],[f527,f107]) ).
tff(f537,plain,
( ~ $less(sK3,0)
| ~ $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),$sum(sK2,2))
| ~ spl11_11
| spl11_24
| ~ spl11_40 ),
inference(forward_demodulation,[],[f533,f188]) ).
tff(f540,plain,
( $less(tb2t(t2tb(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)))),0)
| ~ spl11_11
| ~ spl11_25
| spl11_37
| ~ spl11_40 ),
inference(forward_subsumption_resolution,[],[f536,f279]) ).
tff(f541,plain,
( ~ $less(sK3,0)
| ~ spl11_11
| spl11_24
| ~ spl11_25
| ~ spl11_40 ),
inference(forward_subsumption_resolution,[],[f537,f279]) ).
tff(f544,plain,
( $less(sK9(sK3,tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),$sum(sK2,2)),0)
| ~ spl11_11
| ~ spl11_25
| spl11_37
| ~ spl11_40 ),
inference(forward_demodulation,[],[f540,f107]) ).
tff(f545,plain,
( ~ spl11_36
| ~ spl11_11
| spl11_24
| ~ spl11_25
| ~ spl11_40 ),
inference(avatar_split_clause,[],[f541,f454,f277,f271,f186,f435]) ).
tff(f548,plain,
( $false
| ~ spl11_11
| spl11_24
| ~ spl11_25
| spl11_37
| ~ spl11_40 ),
inference(forward_subsumption_resolution,[],[f544,f273]) ).
tff(f549,plain,
( ~ spl11_11
| spl11_24
| ~ spl11_25
| spl11_37
| ~ spl11_40 ),
inference(avatar_contradiction_clause,[],[f548]) ).
tff(f601,plain,
( ~ appear_twice1(tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),sK3,$sum($sum(sK2,1),1))
| ~ spl11_11
| ~ spl11_12
| spl11_36
| ~ spl11_37 ),
inference(unit_resulting_resolution,[],[f348,f436,f440]) ).
tff(f605,definition,
( spl11_56
<=> appear_twice1(tb2t1(mk_array1(int,$sum(sK2,2),t2tb2(sK0))),sK3,$sum($sum(sK2,1),1)) ),
introduced(definition,[new_symbols(definition,[spl11_56])],[avatar_definition]) ).
tff(f608,plain,
( ~ spl11_56
| ~ spl11_11
| ~ spl11_12
| spl11_36
| ~ spl11_37 ),
inference(avatar_split_clause,[],[f601,f439,f435,f191,f186,f605]) ).
tff(f609,plain,
$false,
inference(avatar_smt_refutation,[],[f608,f549,f545,f457,f285,f280,f274,f253,f204,f199,f193,f189,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW599_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:21:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.59/1.22 % (4029556)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.59/1.22 % (4029565)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3343384814:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.59/1.22 % (4029565)Instruction limit reached!
% 3.59/1.22 % (4029565)------------------------------
% 3.59/1.22 % (4029565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.22 % (4029565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.22 % (4029565)CaDiCaL version: 2.1.3
% 3.59/1.22 % (4029565)Termination reason: Instruction limit
% 3.59/1.22 % (4029565)Termination phase: Saturation
% 3.59/1.22 % (4029565)Time elapsed: 0.002 s
% 3.59/1.22 % (4029565)Peak memory usage: 88 MB
% 3.59/1.22 % (4029565)Instructions burned: 5 (million)
% 3.59/1.22 % (4029567)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2864122938:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.59/1.22 % (4029563)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2868079815:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.59/1.22 % (4029564)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=128257815:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.59/1.22 % (4029566)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3447052149:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.59/1.22 % (4029562)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=995010415:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.59/1.22 % (4029561)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=919149308:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.59/1.22 % (4029564)Instruction limit reached!
% 3.59/1.22 % (4029564)------------------------------
% 3.59/1.22 % (4029564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.22 % (4029564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.22 % (4029564)CaDiCaL version: 2.1.3
% 3.59/1.22 % (4029564)Termination reason: Instruction limit
% 3.59/1.22 % (4029564)Termination phase: Saturation
% 3.59/1.22 % (4029564)Time elapsed: 0.005 s
% 3.59/1.22 % (4029564)Peak memory usage: 88 MB
% 3.59/1.22 % (4029564)Instructions burned: 8 (million)
% 3.59/1.22 % (4029561)Instruction limit reached!
% 3.59/1.22 % (4029561)------------------------------
% 3.59/1.22 % (4029561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.22 % (4029561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.22 % (4029561)CaDiCaL version: 2.1.3
% 3.59/1.22 % (4029561)Termination reason: Instruction limit
% 3.59/1.22 % (4029561)Termination phase: Saturation
% 3.59/1.22 % (4029561)Time elapsed: 0.028 s
% 3.59/1.22 % (4029561)Peak memory usage: 112 MB
% 3.59/1.22 % (4029561)Instructions burned: 12 (million)
% 3.59/1.22 % (4029567)Instruction limit reached!
% 3.59/1.22 % (4029567)------------------------------
% 3.59/1.22 % (4029567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.22 % (4029567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.22 % (4029567)CaDiCaL version: 2.1.3
% 3.59/1.22 % (4029567)Termination reason: Instruction limit
% 3.59/1.22 % (4029567)Termination phase: Saturation
% 3.59/1.22 % (4029567)Time elapsed: 0.045 s
% 3.59/1.22 % (4029567)Peak memory usage: 115 MB
% 3.59/1.22 % (4029567)Instructions burned: 33 (million)
% 3.59/1.22 % (4029566)Instruction limit reached!
% 3.59/1.22 % (4029566)------------------------------
% 3.59/1.22 % (4029566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.22 % (4029566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.22 % (4029566)CaDiCaL version: 2.1.3
% 3.59/1.22 % (4029566)Termination reason: Instruction limit
% 3.59/1.22 % (4029566)Termination phase: Saturation
% 3.59/1.22 % (4029566)Time elapsed: 0.055 s
% 3.59/1.22 % (4029566)Peak memory usage: 115 MB
% 3.59/1.22 % (4029566)Instructions burned: 47 (million)
% 3.59/1.22 % (4029569)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3888636035:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.59/1.22 % (4029569)Instruction limit reached!
% 3.59/1.22 % (4029569)------------------------------
% 3.59/1.22 % (4029569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.40 % (4029569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.40 % (4029569)CaDiCaL version: 2.1.3
% 4.72/1.40 % (4029569)Termination reason: Instruction limit
% 4.72/1.40 % (4029569)Termination phase: Saturation
% 4.72/1.40 % (4029569)Time elapsed: 0.006 s
% 4.72/1.40 % (4029569)Peak memory usage: 89 MB
% 4.72/1.40 % (4029569)Instructions burned: 16 (million)
% 4.72/1.40 % (4029576)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=291744911:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.72/1.40 % (4029563)Instruction limit reached!
% 4.72/1.40 % (4029563)------------------------------
% 4.72/1.40 % (4029563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.40 % (4029563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.40 % (4029563)CaDiCaL version: 2.1.3
% 4.72/1.40 % (4029563)Termination reason: Instruction limit
% 4.72/1.40 % (4029563)Termination phase: Saturation
% 4.72/1.40 % (4029563)Time elapsed: 0.171 s
% 4.72/1.40 % (4029563)Peak memory usage: 119 MB
% 4.72/1.40 % (4029563)Instructions burned: 204 (million)
% 4.72/1.40 % (4029576)Instruction limit reached!
% 4.72/1.40 % (4029576)------------------------------
% 4.72/1.40 % (4029576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.40 % (4029576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.40 % (4029576)CaDiCaL version: 2.1.3
% 4.72/1.40 % (4029576)Termination reason: Instruction limit
% 4.72/1.40 % (4029576)Termination phase: Saturation
% 4.72/1.40 % (4029576)Time elapsed: 0.023 s
% 4.72/1.40 % (4029576)Peak memory usage: 89 MB
% 4.72/1.40 % (4029576)Instructions burned: 29 (million)
% 4.72/1.40 % (4029577)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1199132004:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.72/1.40 % (4029578)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3132366602:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.72/1.40 % (4029577)Instruction limit reached!
% 4.72/1.40 % (4029577)------------------------------
% 4.72/1.40 % (4029577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.40 % (4029577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.40 % (4029577)CaDiCaL version: 2.1.3
% 4.72/1.40 % (4029577)Termination reason: Instruction limit
% 4.72/1.40 % (4029577)Termination phase: Saturation
% 4.72/1.40 % (4029577)Time elapsed: 0.010 s
% 4.72/1.40 % (4029577)Peak memory usage: 88 MB
% 4.72/1.40 % (4029577)Instructions burned: 16 (million)
% 4.72/1.40 % (4029578)Instruction limit reached!
% 4.72/1.40 % (4029578)------------------------------
% 4.72/1.40 % (4029578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.40 % (4029578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.40 % (4029578)CaDiCaL version: 2.1.3
% 4.72/1.40 % (4029578)Termination reason: Instruction limit
% 4.72/1.40 % (4029578)Termination phase: Saturation
% 4.72/1.40 % (4029578)Time elapsed: 0.018 s
% 4.72/1.40 % (4029578)Peak memory usage: 89 MB
% 4.72/1.40 % (4029578)Instructions burned: 25 (million)
% 4.72/1.40 % (4029562)Instruction limit reached!
% 4.72/1.40 % (4029562)------------------------------
% 4.72/1.40 % (4029562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.40 % (4029562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.40 % (4029562)CaDiCaL version: 2.1.3
% 4.72/1.40 % (4029562)Termination reason: Instruction limit
% 4.72/1.40 % (4029562)Termination phase: Saturation
% 4.72/1.40 % (4029562)Time elapsed: 0.211 s
% 4.72/1.40 % (4029562)Peak memory usage: 116 MB
% 4.72/1.40 % (4029562)Instructions burned: 307 (million)
% 4.72/1.40 % (4029579)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=1468523552:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.72/1.40 % (4029581)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1746947243:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.72/1.40 % (4029579)Instruction limit reached!
% 4.72/1.40 % (4029579)------------------------------
% 4.72/1.40 % (4029579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.55 % (4029579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.55 % (4029579)CaDiCaL version: 2.1.3
% 5.64/1.55 % (4029579)Termination reason: Instruction limit
% 5.64/1.55 % (4029579)Termination phase: Saturation
% 5.64/1.55 % (4029579)Time elapsed: 0.017 s
% 5.64/1.55 % (4029579)Peak memory usage: 90 MB
% 5.64/1.55 % (4029579)Instructions burned: 28 (million)
% 5.64/1.55 % (4029581)Instruction limit reached!
% 5.64/1.55 % (4029581)------------------------------
% 5.64/1.55 % (4029581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.55 % (4029581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.55 % (4029581)CaDiCaL version: 2.1.3
% 5.64/1.55 % (4029581)Termination reason: Instruction limit
% 5.64/1.55 % (4029581)Termination phase: Saturation
% 5.64/1.55 % (4029581)Time elapsed: 0.026 s
% 5.64/1.55 % (4029581)Peak memory usage: 89 MB
% 5.64/1.55 % (4029581)Instructions burned: 88 (million)
% 5.64/1.55 % (4029583)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3084031482:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.64/1.55 % (4029583)Instruction limit reached!
% 5.64/1.55 % (4029583)------------------------------
% 5.64/1.55 % (4029583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.55 % (4029583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.55 % (4029583)CaDiCaL version: 2.1.3
% 5.64/1.55 % (4029583)Termination reason: Instruction limit
% 5.64/1.55 % (4029583)Termination phase: Preprocessing 3
% 5.64/1.55 % (4029583)Time elapsed: 0.002 s
% 5.64/1.55 % (4029583)Peak memory usage: 86 MB
% 5.64/1.55 % (4029583)Instructions burned: 2 (million)
% 5.64/1.55 % (4029584)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2937043741:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.64/1.55 % (4029587)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1417044737:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.64/1.55 % (4029587)Instruction limit reached!
% 5.64/1.55 % (4029587)------------------------------
% 5.64/1.55 % (4029587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.55 % (4029587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.55 % (4029587)CaDiCaL version: 2.1.3
% 5.64/1.55 % (4029587)Termination reason: Instruction limit
% 5.64/1.55 % (4029587)Termination phase: Property scanning
% 5.64/1.55 % (4029587)Time elapsed: 0.003 s
% 5.64/1.55 % (4029587)Peak memory usage: 86 MB
% 5.64/1.55 % (4029587)Instructions burned: 4 (million)
% 5.64/1.55 % (4029593)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2288672097:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.64/1.55 % (4029591)lrs+10_1_thi=all:si=on:fd=off:random_seed=1159433880:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.64/1.55 % (4029589)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2226294493:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.64/1.55 % (4029593)Instruction limit reached!
% 5.64/1.55 % (4029593)------------------------------
% 5.64/1.55 % (4029593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.55 % (4029593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.55 % (4029593)CaDiCaL version: 2.1.3
% 5.64/1.55 % (4029593)Termination reason: Instruction limit
% 5.64/1.55 % (4029593)Termination phase: Saturation
% 5.64/1.55 % (4029593)Time elapsed: 0.002 s
% 5.64/1.55 % (4029593)Peak memory usage: 88 MB
% 5.64/1.55 % (4029593)Instructions burned: 4 (million)
% 5.64/1.55 % (4029592)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=2749294158:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.64/1.55 % (4029592)Instruction limit reached!
% 5.64/1.55 % (4029592)------------------------------
% 5.64/1.55 % (4029592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.55 % (4029592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.55 % (4029592)CaDiCaL version: 2.1.3
% 5.64/1.55 % (4029592)Termination reason: Instruction limit
% 5.64/1.55 % (4029592)Termination phase: Saturation
% 7.05/1.83 % (4029592)Time elapsed: 0.005 s
% 7.05/1.83 % (4029592)Peak memory usage: 88 MB
% 7.05/1.83 % (4029592)Instructions burned: 8 (million)
% 7.05/1.83 % (4029591)Instruction limit reached!
% 7.05/1.83 % (4029591)------------------------------
% 7.05/1.83 % (4029591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.83 % (4029591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.83 % (4029591)CaDiCaL version: 2.1.3
% 7.05/1.83 % (4029591)Termination reason: Instruction limit
% 7.05/1.83 % (4029591)Termination phase: Saturation
% 7.05/1.83 % (4029591)Time elapsed: 0.061 s
% 7.05/1.83 % (4029591)Peak memory usage: 116 MB
% 7.05/1.83 % (4029591)Instructions burned: 53 (million)
% 7.05/1.83 % (4029584)Instruction limit reached!
% 7.05/1.83 % (4029584)------------------------------
% 7.05/1.83 % (4029584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.83 % (4029584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.83 % (4029584)CaDiCaL version: 2.1.3
% 7.05/1.83 % (4029584)Termination reason: Instruction limit
% 7.05/1.83 % (4029584)Termination phase: Saturation
% 7.05/1.83 % (4029584)Time elapsed: 0.113 s
% 7.05/1.83 % (4029584)Peak memory usage: 90 MB
% 7.05/1.83 % (4029584)Instructions burned: 181 (million)
% 7.05/1.83 % (4029589)Instruction limit reached!
% 7.05/1.83 % (4029589)------------------------------
% 7.05/1.83 % (4029589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.83 % (4029589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.83 % (4029589)CaDiCaL version: 2.1.3
% 7.05/1.83 % (4029589)Termination reason: Instruction limit
% 7.05/1.83 % (4029589)Termination phase: Saturation
% 7.05/1.83 % (4029589)Time elapsed: 0.090 s
% 7.05/1.83 % (4029589)Peak memory usage: 134 MB
% 7.05/1.83 % (4029589)Instructions burned: 67 (million)
% 7.05/1.83 % (4029602)dis+10_1_si=on:random_seed=3485728018:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 7.05/1.83 % (4029602)Instruction limit reached!
% 7.05/1.83 % (4029602)------------------------------
% 7.05/1.83 % (4029602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.83 % (4029602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.83 % (4029602)CaDiCaL version: 2.1.3
% 7.05/1.83 % (4029602)Termination reason: Instruction limit
% 7.05/1.83 % (4029602)Termination phase: Saturation
% 7.05/1.83 % (4029602)Time elapsed: 0.004 s
% 7.05/1.83 % (4029602)Peak memory usage: 88 MB
% 7.05/1.83 % (4029602)Instructions burned: 11 (million)
% 7.05/1.83 % (4029595)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1934124817:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 7.05/1.83 % (4029595)Instruction limit reached!
% 7.05/1.83 % (4029595)------------------------------
% 7.05/1.83 % (4029595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.83 % (4029595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.83 % (4029595)CaDiCaL version: 2.1.3
% 7.05/1.83 % (4029595)Termination reason: Instruction limit
% 7.05/1.83 % (4029595)Termination phase: Preprocessing 3
% 7.05/1.83 % (4029595)Time elapsed: 0.002 s
% 7.05/1.83 % (4029595)Peak memory usage: 86 MB
% 7.05/1.83 % (4029595)Instructions burned: 2 (million)
% 7.05/1.83 % (4029598)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2921934270:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 7.05/1.84 % (4029604)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1864823528:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 7.05/1.84 % (4029604)Refutation not found, incomplete strategy
% 7.05/1.84 % (4029604)------------------------------
% 7.05/1.84 % (4029604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.84 % (4029604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.84 % (4029604)CaDiCaL version: 2.1.3
% 7.05/1.84 % (4029604)Termination reason: Refutation not found, incomplete strategy
% 7.05/1.84 % (4029604)Time elapsed: 0.008 s
% 7.05/1.84 % (4029604)Peak memory usage: 89 MB
% 7.05/1.84 % (4029604)Instructions burned: 12 (million)
% 7.05/1.84 % (4029605)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=4253209917: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)
% 8.64/1.90 % (4029610)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4008750514:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 8.64/1.90 % (4029606)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3146999432:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 8.64/1.90 % (4029607)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2041734478:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 8.64/1.90 % (4029606)Instruction limit reached!
% 8.64/1.90 % (4029606)------------------------------
% 8.64/1.90 % (4029606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029606)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029606)Termination reason: Instruction limit
% 8.64/1.90 % (4029606)Termination phase: Property scanning
% 8.64/1.90 % (4029606)Time elapsed: 0.002 s
% 8.64/1.90 % (4029606)Peak memory usage: 86 MB
% 8.64/1.90 % (4029606)Instructions burned: 3 (million)
% 8.64/1.90 % (4029607)Instruction limit reached!
% 8.64/1.90 % (4029607)------------------------------
% 8.64/1.90 % (4029607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029607)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029607)Termination reason: Instruction limit
% 8.64/1.90 % (4029607)Termination phase: Saturation
% 8.64/1.90 % (4029607)Time elapsed: 0.006 s
% 8.64/1.90 % (4029607)Peak memory usage: 88 MB
% 8.64/1.90 % (4029607)Instructions burned: 9 (million)
% 8.64/1.90 % (4029605)Instruction limit reached!
% 8.64/1.90 % (4029605)------------------------------
% 8.64/1.90 % (4029605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029605)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029605)Termination reason: Instruction limit
% 8.64/1.90 % (4029605)Termination phase: Saturation
% 8.64/1.90 % (4029605)Time elapsed: 0.028 s
% 8.64/1.90 % (4029605)Peak memory usage: 89 MB
% 8.64/1.90 % (4029605)Instructions burned: 36 (million)
% 8.64/1.90 % (4029598)Instruction limit reached!
% 8.64/1.90 % (4029598)------------------------------
% 8.64/1.90 % (4029598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029598)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029598)Termination reason: Instruction limit
% 8.64/1.90 % (4029598)Termination phase: Saturation
% 8.64/1.90 % (4029598)Time elapsed: 0.114 s
% 8.64/1.90 % (4029598)Peak memory usage: 118 MB
% 8.64/1.90 % (4029598)Instructions burned: 128 (million)
% 8.64/1.90 % (4029611)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3559195992:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 8.64/1.90 % (4029611)Instruction limit reached!
% 8.64/1.90 % (4029611)------------------------------
% 8.64/1.90 % (4029611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029611)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029611)Termination reason: Instruction limit
% 8.64/1.90 % (4029611)Termination phase: Saturation
% 8.64/1.90 % (4029611)Time elapsed: 0.030 s
% 8.64/1.90 % (4029611)Peak memory usage: 112 MB
% 8.64/1.90 % (4029611)Instructions burned: 13 (million)
% 8.64/1.90 % (4029610)Instruction limit reached!
% 8.64/1.90 % (4029610)------------------------------
% 8.64/1.90 % (4029610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029610)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029610)Termination reason: Instruction limit
% 8.64/1.90 % (4029610)Termination phase: Saturation
% 8.64/1.90 % (4029610)Time elapsed: 0.109 s
% 8.64/1.90 % (4029610)Peak memory usage: 92 MB
% 8.64/1.90 % (4029610)Instructions burned: 371 (million)
% 8.64/1.90 % (4029618)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3769875071:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 8.64/1.90 % (4029619)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3936617706:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 8.64/1.90 % (4029619)Instruction limit reached!
% 8.64/1.90 % (4029619)------------------------------
% 8.64/1.90 % (4029619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029619)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029619)Termination reason: Instruction limit
% 8.64/1.90 % (4029619)Termination phase: Saturation
% 8.64/1.90 % (4029619)Time elapsed: 0.008 s
% 8.64/1.90 % (4029619)Peak memory usage: 88 MB
% 8.64/1.90 % (4029619)Instructions burned: 11 (million)
% 8.64/1.90 % (4029620)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3062393220:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 8.64/1.90 % (4029622)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=2396875970:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 8.64/1.90 % (4029604)------------------------------
% 8.64/1.90 % (4029604)------------------------------
% 8.64/1.90 % (4029618)First to succeed.
% 8.64/1.90 % (4029618)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4029556"
% 8.64/1.90 % (4029624)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=650107466:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 8.64/1.90 % (4029623)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=4268036388:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 8.64/1.90 % (4029622)Instruction limit reached!
% 8.64/1.90 % (4029622)------------------------------
% 8.64/1.90 % (4029622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029622)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029622)Termination reason: Instruction limit
% 8.64/1.90 % (4029622)Termination phase: Saturation
% 8.64/1.90 % (4029622)Time elapsed: 0.049 s
% 8.64/1.90 % (4029622)Peak memory usage: 89 MB
% 8.64/1.90 % (4029622)Instructions burned: 75 (million)
% 8.64/1.90 % (4029620)Instruction limit reached!
% 8.64/1.90 % (4029620)------------------------------
% 8.64/1.90 % (4029620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029620)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029620)Termination reason: Instruction limit
% 8.64/1.90 % (4029620)Termination phase: Saturation
% 8.64/1.90 % (4029620)Time elapsed: 0.092 s
% 8.64/1.90 % (4029620)Peak memory usage: 133 MB
% 8.64/1.90 % (4029620)Instructions burned: 71 (million)
% 8.64/1.90 % (4029624)Instruction limit reached!
% 8.64/1.90 % (4029624)------------------------------
% 8.64/1.90 % (4029624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029624)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029624)Termination reason: Instruction limit
% 8.64/1.90 % (4029624)Termination phase: Saturation
% 8.64/1.90 % (4029624)Time elapsed: 0.061 s
% 8.64/1.90 % (4029624)Peak memory usage: 117 MB
% 8.64/1.90 % (4029624)Instructions burned: 133 (million)
% 8.64/1.90 % (4029627)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=922162958:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 8.64/1.90 % (4029630)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3197277077:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 8.64/1.90 % (4029633)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3195222709:i=307:rtra=on:gtg=exists_top_2989 on theBenchmark for (2989ds/307Mi)
% 8.64/1.90 % (4029635)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2831606748:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 8.64/1.90 % (4029634)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=803646268:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/598Mi)
% 8.64/1.90 % (4029623)Instruction limit reached!
% 8.64/1.90 % (4029623)------------------------------
% 8.64/1.90 % (4029623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029623)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029623)Termination reason: Instruction limit
% 8.64/1.90 % (4029623)Termination phase: Saturation
% 8.64/1.90 % (4029623)Time elapsed: 0.200 s
% 8.64/1.90 % (4029623)Peak memory usage: 91 MB
% 8.64/1.90 % (4029623)Instructions burned: 294 (million)
% 8.64/1.90 % (4029627)Instruction limit reached!
% 8.64/1.90 % (4029627)------------------------------
% 8.64/1.90 % (4029627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029627)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029627)Termination reason: Instruction limit
% 8.64/1.90 % (4029627)Termination phase: Saturation
% 8.64/1.90 % (4029627)Time elapsed: 0.133 s
% 8.64/1.90 % (4029627)Peak memory usage: 134 MB
% 8.64/1.90 % (4029627)Instructions burned: 131 (million)
% 8.64/1.90 % (4029630)Instruction limit reached!
% 8.64/1.90 % (4029630)------------------------------
% 8.64/1.90 % (4029630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029630)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029630)Termination reason: Instruction limit
% 8.64/1.90 % (4029630)Termination phase: Saturation
% 8.64/1.90 % (4029630)Time elapsed: 0.068 s
% 8.64/1.90 % (4029630)Peak memory usage: 134 MB
% 8.64/1.90 % (4029630)Instructions burned: 40 (million)
% 8.64/1.90 % (4029635)Instruction limit reached!
% 8.64/1.90 % (4029635)------------------------------
% 8.64/1.90 % (4029635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.90 % (4029635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.90 % (4029635)CaDiCaL version: 2.1.3
% 8.64/1.90 % (4029635)Termination reason: Instruction limit
% 8.64/1.90 % (4029635)Termination phase: Saturation
% 8.64/1.90 % (4029635)Time elapsed: 0.061 s
% 8.64/1.90 % (4029635)Peak memory usage: 117 MB
% 8.64/1.90 % (4029635)Instructions burned: 132 (million)
% 8.64/1.90 % (4029618)Refutation found. Thanks to Tanya!
% 8.64/1.90 % SZS status Theorem for theBenchmark
% 8.64/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 9.32/2.05 % (4029618)------------------------------
% 9.32/2.05 % (4029618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.05 % (4029618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.05 % (4029618)CaDiCaL version: 2.1.3
% 9.32/2.05 % (4029618)Termination reason: Refutation
% 9.32/2.05 % (4029618)Time elapsed: 0.080 s
% 9.32/2.05 % (4029618)Peak memory usage: 117 MB
% 9.32/2.05 % (4029618)Instructions burned: 81 (million)
% 9.32/2.05 % (4029618)------------------------------
% 9.32/2.05 % (4029618)------------------------------
% 9.32/2.05 % (4029556)Success in time 1.238 s
% 9.32/2.05 % Vampire exiting
%------------------------------------------------------------------------------