%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW640_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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:31:01 PM UTC 2026
% Result : Theorem 18.89s 3.19s
% Output : Refutation 19.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 37
% Syntax : Number of formulae : 167 ( 49 unt; 0 typ; 22 def)
% Number of atoms : 593 ( 130 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 599 ( 173 ~; 182 |; 182 &)
% ( 28 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number arithmetic : 843 ( 199 atm; 232 fun; 316 num; 96 var)
% Number of types : 11 ( 9 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 29 ( 25 usr; 23 prp; 0-2 aty)
% Number of functors : 75 ( 70 usr; 25 con; 0-5 aty)
% Number of variables : 270 ( 249 !; 21 ?; 270 :)
% 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,
char1: $tType ).
tff(type_def_10,type,
string2: $tType ).
tff(type_def_11,type,
rope1: $tType ).
tff(type_def_12,type,
array_rope: $tType ).
tff(type_def_13,type,
map_int_rope: $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,
char: ty ).
tff(func_def_13,type,
dummy_char1: char1 ).
tff(func_def_14,type,
string: ty ).
tff(func_def_15,type,
length3: string2 > $int ).
tff(func_def_16,type,
mixfix_lbrb1: ( string2 * $int ) > char1 ).
tff(func_def_17,type,
empty1: string2 ).
tff(func_def_18,type,
app2: ( string2 * string2 ) > string2 ).
tff(func_def_21,type,
sub1: ( string2 * $int * $int ) > string2 ).
tff(func_def_22,type,
rope: ty ).
tff(func_def_23,type,
emp1: rope1 ).
tff(func_def_24,type,
str1: ( string2 * $int * $int ) > rope1 ).
tff(func_def_25,type,
app3: ( rope1 * rope1 * $int ) > rope1 ).
tff(func_def_26,type,
match_rope1: ( ty * rope1 * uni * uni * uni ) > uni ).
tff(func_def_27,type,
str_proj_11: rope1 > string2 ).
tff(func_def_28,type,
str_proj_21: rope1 > $int ).
tff(func_def_29,type,
str_proj_31: rope1 > $int ).
tff(func_def_30,type,
app_proj_11: rope1 > rope1 ).
tff(func_def_31,type,
app_proj_21: rope1 > rope1 ).
tff(func_def_32,type,
app_proj_31: rope1 > $int ).
tff(func_def_33,type,
length4: rope1 > $int ).
tff(func_def_34,type,
string3: rope1 > string2 ).
tff(func_def_35,type,
fib1: $int > $int ).
tff(func_def_38,type,
min1: ( $int * $int ) > $int ).
tff(func_def_39,type,
max2: ( $int * $int ) > $int ).
tff(func_def_40,type,
map: ( ty * ty ) > ty ).
tff(func_def_41,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_42,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_43,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_44,type,
array: ty > ty ).
tff(func_def_45,type,
mk_array1: ( ty * $int * uni ) > uni ).
tff(func_def_46,type,
length5: ( ty * uni ) > $int ).
tff(func_def_47,type,
elts: ( ty * uni ) > uni ).
tff(func_def_48,type,
get2: ( ty * uni * $int ) > uni ).
tff(func_def_49,type,
t2tb: $int > uni ).
tff(func_def_50,type,
tb2t: uni > $int ).
tff(func_def_51,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(func_def_52,type,
make1: ( ty * $int * uni ) > uni ).
tff(func_def_53,type,
ref: ty > ty ).
tff(func_def_54,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_55,type,
contents: ( ty * uni ) > uni ).
tff(func_def_56,type,
max3: $int ).
tff(func_def_57,type,
string_of_array1: ( array_rope * $int * $int ) > string2 ).
tff(func_def_58,type,
t2tb1: array_rope > uni ).
tff(func_def_59,type,
tb2t1: uni > array_rope ).
tff(func_def_60,type,
t2tb2: rope1 > uni ).
tff(func_def_61,type,
tb2t2: uni > rope1 ).
tff(func_def_62,type,
string_of_queue1: array_rope > string2 ).
tff(func_def_63,type,
t2tb3: map_int_rope > uni ).
tff(func_def_64,type,
tb2t3: uni > map_int_rope ).
tff(func_def_66,type,
sK0: ( array_rope * $int * $int ) > $int ).
tff(func_def_67,type,
sK1: ( $int * array_rope * $int * array_rope ) > $int ).
tff(func_def_68,type,
sK2: $int ).
tff(func_def_69,type,
sK3: rope1 ).
tff(func_def_70,type,
sK4: map_int_rope ).
tff(func_def_71,type,
sK5: rope1 ).
tff(func_def_72,type,
sK6: rope1 ).
tff(func_def_73,type,
sK7: $int ).
tff(func_def_74,type,
sK8: map_int_rope ).
tff(func_def_75,type,
sK9: ( array_rope * $int * $int ) > $int ).
tff(func_def_76,type,
sK10: ( string2 * string2 ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
infix_eqeq1: ( string2 * string2 ) > $o ).
tff(pred_def_5,type,
inv1: rope1 > $o ).
tff(f12,axiom,
! [X0: string2,X1: string2] :
( infix_eqeq1(X0,X1)
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
tff(f13,axiom,
! [X0: string2,X1: string2] : ( length3(app2(X0,X1)) = $sum(length3(X0),length3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_def1) ).
tff(f21,axiom,
! [X0: ty,X1: uni,X2: uni,X4: string2,X5: $int,X3: uni,X6: $int] :
( sort1(X0,X2)
=> ( match_rope1(X0,str1(X4,X5,X6),X1,X2,X3) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_rope_Str1) ).
tff(f22,axiom,
! [X3: uni,X2: uni,X6: $int,X5: rope1,X4: rope1,X1: uni,X0: ty] :
( sort1(X0,X3)
=> ( match_rope1(X0,app3(X4,X5,X6),X1,X2,X3) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_rope_App1) ).
tff(f31,axiom,
! [X1: rope1,X0: rope1,X2: $int] : ( app_proj_31(app3(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_proj_3_def1) ).
tff(f32,axiom,
! [X0: rope1] :
( ( X0 = app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) )
| ( X0 = str1(str_proj_11(X0),str_proj_21(X0),str_proj_31(X0)) )
| ( X0 = emp1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rope_inversion1) ).
tff(f33,axiom,
( ( length4(emp1) = 0 )
& ! [X2: $int,X1: rope1,X0: rope1] : ( length4(app3(X0,X1,X2)) = X2 )
& ! [X0: string2,X1: $int,X2: $int] : ( length4(str1(X0,X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def) ).
tff(f34,axiom,
( ! [X0: rope1,X2: $int,X1: rope1] :
( inv1(app3(X0,X1,X2))
<=> ( ( X2 = $sum(length4(X0),length4(X1)) )
& $less(0,length4(X0))
& $less(0,length4(X1))
& inv1(X0)
& inv1(X1) ) )
& inv1(emp1)
& ! [X0: string2,X1: $int,X2: $int] :
( inv1(str1(X0,X1,X2))
<=> ( $less(0,X2)
& $less(X1,length3(X0))
& $lesseq($sum(X1,X2),length3(X0))
& $lesseq(0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inv_def) ).
tff(f36,axiom,
! [X0: rope1] :
( inv1(X0)
=> ( length3(string3(X0)) = length4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rope_length_is_string_length) ).
tff(f57,axiom,
! [X2: uni,X1: $int,X0: ty] : ( length5(X0,mk_array1(X0,X1,X2)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def2) ).
tff(f62,axiom,
! [X0: $int] : sort1(int,t2tb(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort) ).
tff(f63,axiom,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL) ).
tff(f77,axiom,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f89,axiom,
! [X0: array_rope] : ( string_of_queue1(X0) = string_of_array1(X0,2,length5(rope,t2tb1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',string_of_queue_def) ).
tff(f93,conjecture,
! [X0: $int,X2: rope1,X1: map_int_rope] :
( ( $lesseq(0,X0)
& ! [X3: $int] :
( ( $lesseq(2,X3)
& $lesseq(X3,max3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X3)))) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X2,t2tb(0),t2tb(str_proj_31(X2)),t2tb(app_proj_31(X2))))),fib1($sum(max3,1)))
& $less(2,X0)
& ( X0 = $sum(max3,1) )
& inv1(X2) )
=> ! [X5: rope1,X4: rope1,X6: $int] :
( ( X2 = app3(X4,X5,X6) )
=> ( ( inv1(X4)
& ( X0 = $sum(max3,1) )
& $less(2,X0)
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1)))
& ! [X3: $int] :
( ( $lesseq(2,X3)
& $lesseq(X3,max3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X3)))) ) )
=> ! [X7: map_int_rope] :
( ( ! [X3: $int] :
( ( $lesseq(X3,max3)
& $lesseq(2,X3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X3)))) )
& $lesseq(0,X0)
& infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1)))),string3(X4))) )
=> $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_insert_leaves) ).
tff(f94,negated_conjecture,
~ ! [X0: $int,X2: rope1,X1: map_int_rope] :
( ( $lesseq(0,X0)
& ! [X3: $int] :
( ( $lesseq(2,X3)
& $lesseq(X3,max3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X3)))) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X2,t2tb(0),t2tb(str_proj_31(X2)),t2tb(app_proj_31(X2))))),fib1($sum(max3,1)))
& $less(2,X0)
& ( X0 = $sum(max3,1) )
& inv1(X2) )
=> ! [X5: rope1,X4: rope1,X6: $int] :
( ( X2 = app3(X4,X5,X6) )
=> ( ( inv1(X4)
& ( X0 = $sum(max3,1) )
& $less(2,X0)
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1)))
& ! [X3: $int] :
( ( $lesseq(2,X3)
& $lesseq(X3,max3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X3)))) ) )
=> ! [X7: map_int_rope] :
( ( ! [X3: $int] :
( ( $lesseq(X3,max3)
& $lesseq(2,X3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X3)))) )
& $lesseq(0,X0)
& infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1)))),string3(X4))) )
=> $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f93]) ).
tff(f101,plain,
( ! [X0: rope1,X2: $int,X1: rope1] :
( inv1(app3(X0,X1,X2))
<=> ( ( X2 = $sum(length4(X0),length4(X1)) )
& $less(0,length4(X0))
& $less(0,length4(X1))
& inv1(X0)
& inv1(X1) ) )
& inv1(emp1)
& ! [X0: string2,X1: $int,X2: $int] :
( inv1(str1(X0,X1,X2))
<=> ( $less(0,X2)
& $less(X1,length3(X0))
& ~ $less(length3(X0),$sum(X1,X2))
& ~ $less(X1,0) ) ) ),
inference(theory_normalization,[],[f34]) ).
tff(f111,plain,
~ ! [X0: $int,X2: rope1,X1: map_int_rope] :
( ( ~ $less(X0,0)
& ! [X3: $int] :
( ( ~ $less(X3,2)
& ~ $less(max3,X3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X3)))) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X2,t2tb(0),t2tb(str_proj_31(X2)),t2tb(app_proj_31(X2))))),fib1($sum(max3,1)))
& $less(2,X0)
& ( X0 = $sum(max3,1) )
& inv1(X2) )
=> ! [X5: rope1,X4: rope1,X6: $int] :
( ( X2 = app3(X4,X5,X6) )
=> ( ( inv1(X4)
& ( X0 = $sum(max3,1) )
& $less(2,X0)
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1)))
& ! [X3: $int] :
( ( ~ $less(X3,2)
& ~ $less(max3,X3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X1),t2tb(X3)))) ) )
=> ! [X7: map_int_rope] :
( ( ! [X3: $int] :
( ( ~ $less(max3,X3)
& ~ $less(X3,2) )
=> inv1(tb2t2(get(rope,int,t2tb3(X7),t2tb(X3)))) )
& ~ $less(X0,0)
& infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X1)))),string3(X4))) )
=> $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X7))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1))) ) ) ) ),
inference(theory_normalization,[],[f94]) ).
tff(f123,plain,
! [X0: rope1,X1: rope1,X2: $int] : ( app_proj_31(app3(X1,X0,X2)) = X2 ),
inference(rectify,[],[f31]) ).
tff(f131,plain,
( ! [X4: $int,X3: string2,X5: $int] :
( inv1(str1(X3,X4,X5))
<=> ( $less(0,X5)
& ~ $less(length3(X3),$sum(X4,X5))
& $less(X4,length3(X3))
& ~ $less(X4,0) ) )
& inv1(emp1)
& ! [X1: $int,X2: rope1,X0: rope1] :
( inv1(app3(X0,X2,X1))
<=> ( $less(0,length4(X2))
& ( $sum(length4(X0),length4(X2)) = X1 )
& $less(0,length4(X0))
& inv1(X0)
& inv1(X2) ) ) ),
inference(rectify,[],[f101]) ).
tff(f147,plain,
! [X0: uni,X2: $int,X3: rope1,X5: uni,X1: uni,X4: rope1,X6: ty] :
( sort1(X6,X0)
=> ( match_rope1(X6,app3(X4,X3,X2),X5,X1,X0) = X0 ) ),
inference(rectify,[],[f22]) ).
tff(f148,plain,
~ ! [X0: $int,X2: map_int_rope,X1: rope1] :
( ( $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X1,t2tb(0),t2tb(str_proj_31(X1)),t2tb(app_proj_31(X1))))),fib1($sum(max3,1)))
& $less(2,X0)
& ~ $less(X0,0)
& ( X0 = $sum(max3,1) )
& inv1(X1)
& ! [X3: $int] :
( ( ~ $less(X3,2)
& ~ $less(max3,X3) )
=> inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X3)))) ) )
=> ! [X4: rope1,X5: rope1,X6: $int] :
( ( app3(X5,X4,X6) = X1 )
=> ( ( $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1)))
& ! [X7: $int] :
( ( ~ $less(X7,2)
& ~ $less(max3,X7) )
=> inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X7)))) )
& $less(2,X0)
& ( X0 = $sum(max3,1) )
& inv1(X5) )
=> ! [X8: map_int_rope] :
( ( infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2)))),string3(X5)))
& ! [X9: $int] :
( ( ~ $less(max3,X9)
& ~ $less(X9,2) )
=> inv1(tb2t2(get(rope,int,t2tb3(X8),t2tb(X9)))) )
& ~ $less(X0,0) )
=> $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) ) ) ) ),
inference(rectify,[],[f111]) ).
tff(f151,plain,
( ! [X2: rope1,X1: rope1,X0: $int] : ( length4(app3(X2,X1,X0)) = X0 )
& ( length4(emp1) = 0 )
& ! [X3: string2,X5: $int,X4: $int] : ( length4(str1(X3,X4,X5)) = X5 ) ),
inference(rectify,[],[f33]) ).
tff(f159,plain,
! [X1: uni,X4: $int,X0: ty,X6: $int,X2: uni,X5: uni,X3: string2] :
( sort1(X0,X2)
=> ( match_rope1(X0,str1(X3,X4,X6),X1,X2,X5) = X2 ) ),
inference(rectify,[],[f21]) ).
tff(f165,plain,
! [X0: uni,X2: ty,X1: $int] : ( length5(X2,mk_array1(X2,X1,X0)) = X1 ),
inference(rectify,[],[f57]) ).
tff(f176,plain,
! [X6: ty,X3: rope1,X4: rope1,X5: uni,X1: uni,X0: uni,X2: $int] :
( ~ sort1(X6,X0)
| ( match_rope1(X6,app3(X4,X3,X2),X5,X1,X0) = X0 ) ),
inference(ennf_transformation,[],[f147]) ).
tff(f202,plain,
? [X0: $int,X2: map_int_rope,X1: rope1] :
( ? [X4: rope1,X5: rope1,X6: $int] :
( ? [X8: map_int_rope] :
( ~ $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1)))
& infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2)))),string3(X5)))
& ! [X9: $int] :
( inv1(tb2t2(get(rope,int,t2tb3(X8),t2tb(X9))))
| $less(max3,X9)
| $less(X9,2) )
& ~ $less(X0,0) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1)))
& ! [X7: $int] :
( inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X7))))
| $less(X7,2)
| $less(max3,X7) )
& $less(2,X0)
& ( X0 = $sum(max3,1) )
& inv1(X5)
& ( app3(X5,X4,X6) = X1 ) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X1,t2tb(0),t2tb(str_proj_31(X1)),t2tb(app_proj_31(X1))))),fib1($sum(max3,1)))
& $less(2,X0)
& ~ $less(X0,0)
& ( X0 = $sum(max3,1) )
& inv1(X1)
& ! [X3: $int] :
( inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X3))))
| $less(X3,2)
| $less(max3,X3) ) ),
inference(ennf_transformation,[],[f148]) ).
tff(f203,plain,
? [X0: $int,X1: rope1,X2: map_int_rope] :
( ? [X5: rope1,X4: rope1,X6: $int] :
( ( app3(X5,X4,X6) = X1 )
& inv1(X5)
& ? [X8: map_int_rope] :
( ~ $less(X0,0)
& ! [X9: $int] :
( inv1(tb2t2(get(rope,int,t2tb3(X8),t2tb(X9))))
| $less(X9,2)
| $less(max3,X9) )
& infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2)))),string3(X5)))
& ~ $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X8))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) )
& ! [X7: $int] :
( $less(max3,X7)
| inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X7))))
| $less(X7,2) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X5,t2tb(0),t2tb(str_proj_31(X5)),t2tb(app_proj_31(X5))))),fib1($sum(max3,1)))
& ( X0 = $sum(max3,1) )
& $less(2,X0) )
& ~ $less(X0,0)
& $less(2,X0)
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X1,t2tb(0),t2tb(str_proj_31(X1)),t2tb(app_proj_31(X1))))),fib1($sum(max3,1)))
& inv1(X1)
& ( X0 = $sum(max3,1) )
& ! [X3: $int] :
( $less(max3,X3)
| $less(X3,2)
| inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X3)))) ) ),
inference(flattening,[],[f202]) ).
tff(f207,plain,
! [X0: string2,X1: string2] :
( ( X0 = X1 )
| ~ infix_eqeq1(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
tff(f210,plain,
! [X0: rope1] :
( ( length3(string3(X0)) = length4(X0) )
| ~ inv1(X0) ),
inference(ennf_transformation,[],[f36]) ).
tff(f213,plain,
! [X2: uni,X6: $int,X4: $int,X3: string2,X0: ty,X5: uni,X1: uni] :
( ( match_rope1(X0,str1(X3,X4,X6),X1,X2,X5) = X2 )
| ~ sort1(X0,X2) ),
inference(ennf_transformation,[],[f159]) ).
tff(f228,plain,
( ! [X0: rope1,X1: rope1,X2: $int] : ( length4(app3(X0,X1,X2)) = X2 )
& ( length4(emp1) = 0 )
& ! [X3: string2,X4: $int,X5: $int] : ( length4(str1(X3,X5,X4)) = X4 ) ),
inference(rectify,[],[f151]) ).
tff(f229,plain,
! [X0: uni,X1: ty,X2: $int] : ( length5(X1,mk_array1(X1,X2,X0)) = X2 ),
inference(rectify,[],[f165]) ).
tff(f243,plain,
! [X0: ty,X1: rope1,X2: rope1,X3: uni,X4: uni,X5: uni,X6: $int] :
( ~ sort1(X0,X5)
| ( match_rope1(X0,app3(X2,X1,X6),X3,X4,X5) = X5 ) ),
inference(rectify,[],[f176]) ).
tff(f250,plain,
! [X0: uni,X1: $int,X2: $int,X3: string2,X4: ty,X5: uni,X6: uni] :
( ( match_rope1(X4,str1(X3,X2,X1),X6,X0,X5) = X0 )
| ~ sort1(X4,X0) ),
inference(rectify,[],[f213]) ).
tff(f252,plain,
? [X0: $int,X1: rope1,X2: map_int_rope] :
( ? [X3: rope1,X4: rope1,X5: $int] :
( ( app3(X3,X4,X5) = X1 )
& inv1(X3)
& ? [X6: map_int_rope] :
( ~ $less(X0,0)
& ! [X7: $int] :
( inv1(tb2t2(get(rope,int,t2tb3(X6),t2tb(X7))))
| $less(X7,2)
| $less(max3,X7) )
& infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X6)))),app2(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2)))),string3(X3)))
& ~ $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X6))))),tb2t(match_rope1(int,X4,t2tb(0),t2tb(str_proj_31(X4)),t2tb(app_proj_31(X4))))),fib1($sum(max3,1))) )
& ! [X8: $int] :
( $less(max3,X8)
| inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X8))))
| $less(X8,2) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X3,t2tb(0),t2tb(str_proj_31(X3)),t2tb(app_proj_31(X3))))),fib1($sum(max3,1)))
& ( X0 = $sum(max3,1) )
& $less(2,X0) )
& ~ $less(X0,0)
& $less(2,X0)
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,X0,t2tb3(X2))))),tb2t(match_rope1(int,X1,t2tb(0),t2tb(str_proj_31(X1)),t2tb(app_proj_31(X1))))),fib1($sum(max3,1)))
& inv1(X1)
& ( X0 = $sum(max3,1) )
& ! [X9: $int] :
( $less(max3,X9)
| $less(X9,2)
| inv1(tb2t2(get(rope,int,t2tb3(X2),t2tb(X9)))) ) ),
inference(rectify,[],[f203]) ).
tff(f253,plain,
( ( sK3 = app3(sK5,sK6,sK7) )
& inv1(sK5)
& ~ $less(sK2,0)
& ! [X7: $int] :
( inv1(tb2t2(get(rope,int,t2tb3(sK8),t2tb(X7))))
| $less(X7,2)
| $less(max3,X7) )
& infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4)))),string3(sK5)))
& ~ $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),fib1($sum(max3,1)))
& ! [X8: $int] :
( $less(max3,X8)
| inv1(tb2t2(get(rope,int,t2tb3(sK4),t2tb(X8))))
| $less(X8,2) )
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))))),tb2t(match_rope1(int,sK5,t2tb(0),t2tb(str_proj_31(sK5)),t2tb(app_proj_31(sK5))))),fib1($sum(max3,1)))
& ( $sum(max3,1) = sK2 )
& $less(2,sK2)
& ~ $less(sK2,0)
& $less(2,sK2)
& $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))))),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3))))),fib1($sum(max3,1)))
& inv1(sK3)
& ( $sum(max3,1) = sK2 )
& ! [X9: $int] :
( $less(max3,X9)
| $less(X9,2)
| inv1(tb2t2(get(rope,int,t2tb3(sK4),t2tb(X9)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X6,sK8)],[f252]) ).
tff(f264,plain,
( ! [X4: $int,X3: string2,X5: $int] :
( ( inv1(str1(X3,X4,X5))
| ~ $less(0,X5)
| $less(length3(X3),$sum(X4,X5))
| ~ $less(X4,length3(X3))
| $less(X4,0) )
& ( ( $less(0,X5)
& ~ $less(length3(X3),$sum(X4,X5))
& $less(X4,length3(X3))
& ~ $less(X4,0) )
| ~ inv1(str1(X3,X4,X5)) ) )
& inv1(emp1)
& ! [X1: $int,X2: rope1,X0: rope1] :
( ( inv1(app3(X0,X2,X1))
| ~ $less(0,length4(X2))
| ( $sum(length4(X0),length4(X2)) != X1 )
| ~ $less(0,length4(X0))
| ~ inv1(X0)
| ~ inv1(X2) )
& ( ( $less(0,length4(X2))
& ( $sum(length4(X0),length4(X2)) = X1 )
& $less(0,length4(X0))
& inv1(X0)
& inv1(X2) )
| ~ inv1(app3(X0,X2,X1)) ) ) ),
inference(nnf_transformation,[],[f131]) ).
tff(f265,plain,
( ! [X4: $int,X3: string2,X5: $int] :
( ( inv1(str1(X3,X4,X5))
| ~ $less(0,X5)
| $less(length3(X3),$sum(X4,X5))
| ~ $less(X4,length3(X3))
| $less(X4,0) )
& ( ( $less(0,X5)
& ~ $less(length3(X3),$sum(X4,X5))
& $less(X4,length3(X3))
& ~ $less(X4,0) )
| ~ inv1(str1(X3,X4,X5)) ) )
& inv1(emp1)
& ! [X1: $int,X2: rope1,X0: rope1] :
( ( inv1(app3(X0,X2,X1))
| ~ $less(0,length4(X2))
| ( $sum(length4(X0),length4(X2)) != X1 )
| ~ $less(0,length4(X0))
| ~ inv1(X0)
| ~ inv1(X2) )
& ( ( $less(0,length4(X2))
& ( $sum(length4(X0),length4(X2)) = X1 )
& $less(0,length4(X0))
& inv1(X0)
& inv1(X2) )
| ~ inv1(app3(X0,X2,X1)) ) ) ),
inference(flattening,[],[f264]) ).
tff(f266,plain,
( ! [X0: $int,X1: string2,X2: $int] :
( ( inv1(str1(X1,X0,X2))
| ~ $less(0,X2)
| $less(length3(X1),$sum(X0,X2))
| ~ $less(X0,length3(X1))
| $less(X0,0) )
& ( ( $less(0,X2)
& ~ $less(length3(X1),$sum(X0,X2))
& $less(X0,length3(X1))
& ~ $less(X0,0) )
| ~ inv1(str1(X1,X0,X2)) ) )
& inv1(emp1)
& ! [X3: $int,X4: rope1,X5: rope1] :
( ( inv1(app3(X5,X4,X3))
| ~ $less(0,length4(X4))
| ( $sum(length4(X5),length4(X4)) != X3 )
| ~ $less(0,length4(X5))
| ~ inv1(X5)
| ~ inv1(X4) )
& ( ( $less(0,length4(X4))
& ( $sum(length4(X5),length4(X4)) = X3 )
& $less(0,length4(X5))
& inv1(X5)
& inv1(X4) )
| ~ inv1(app3(X5,X4,X3)) ) ) ),
inference(rectify,[],[f265]) ).
tff(f288,plain,
! [X3: string2,X4: $int,X5: $int] : ( length4(str1(X3,X5,X4)) = X4 ),
inference(cnf_transformation,[],[f228]) ).
tff(f289,plain,
0 = length4(emp1),
inference(cnf_transformation,[],[f228]) ).
tff(f290,plain,
! [X2: $int,X0: rope1,X1: rope1] : ( length4(app3(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f228]) ).
tff(f293,plain,
! [X2: $int,X0: uni,X1: ty] : ( length5(X1,mk_array1(X1,X2,X0)) = X2 ),
inference(cnf_transformation,[],[f229]) ).
tff(f294,plain,
! [X0: rope1] :
( ( str1(str_proj_11(X0),str_proj_21(X0),str_proj_31(X0)) = X0 )
| ( app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 )
| ( emp1 = X0 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f308,plain,
! [X0: $int] : sort1(int,t2tb(X0)),
inference(cnf_transformation,[],[f62]) ).
tff(f322,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(cnf_transformation,[],[f63]) ).
tff(f325,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f77]) ).
tff(f327,plain,
! [X2: rope1,X3: uni,X0: ty,X1: rope1,X6: $int,X4: uni,X5: uni] :
( ( match_rope1(X0,app3(X2,X1,X6),X3,X4,X5) = X5 )
| ~ sort1(X0,X5) ),
inference(cnf_transformation,[],[f243]) ).
tff(f338,plain,
! [X2: $int,X3: string2,X0: uni,X1: $int,X6: uni,X4: ty,X5: uni] :
( ( match_rope1(X4,str1(X3,X2,X1),X6,X0,X5) = X0 )
| ~ sort1(X4,X0) ),
inference(cnf_transformation,[],[f250]) ).
tff(f341,plain,
! [X0: string2,X1: string2] : ( length3(app2(X0,X1)) = $sum(length3(X0),length3(X1)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f343,plain,
! [X0: array_rope] : ( string_of_queue1(X0) = string_of_array1(X0,2,length5(rope,t2tb1(X0))) ),
inference(cnf_transformation,[],[f89]) ).
tff(f351,plain,
inv1(sK3),
inference(cnf_transformation,[],[f253]) ).
tff(f352,plain,
$less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))))),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3))))),fib1($sum(max3,1))),
inference(cnf_transformation,[],[f253]) ).
tff(f356,plain,
$sum(max3,1) = sK2,
inference(cnf_transformation,[],[f253]) ).
tff(f359,plain,
~ $less($sum(length3(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),fib1($sum(max3,1))),
inference(cnf_transformation,[],[f253]) ).
tff(f360,plain,
infix_eqeq1(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8)))),app2(string_of_queue1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4)))),string3(sK5))),
inference(cnf_transformation,[],[f253]) ).
tff(f363,plain,
inv1(sK5),
inference(cnf_transformation,[],[f253]) ).
tff(f364,plain,
sK3 = app3(sK5,sK6,sK7),
inference(cnf_transformation,[],[f253]) ).
tff(f383,plain,
! [X3: $int,X4: rope1,X5: rope1] :
( ~ inv1(app3(X5,X4,X3))
| ( $sum(length4(X5),length4(X4)) = X3 ) ),
inference(cnf_transformation,[],[f266]) ).
tff(f384,plain,
! [X3: $int,X4: rope1,X5: rope1] :
( ~ inv1(app3(X5,X4,X3))
| $less(0,length4(X4)) ),
inference(cnf_transformation,[],[f266]) ).
tff(f393,plain,
! [X2: $int,X0: rope1,X1: rope1] : ( app_proj_31(app3(X1,X0,X2)) = X2 ),
inference(cnf_transformation,[],[f123]) ).
tff(f404,plain,
! [X0: rope1] :
( ( length4(X0) = length3(string3(X0)) )
| ~ inv1(X0) ),
inference(cnf_transformation,[],[f210]) ).
tff(f416,plain,
! [X0: string2,X1: string2] :
( ~ infix_eqeq1(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f207]) ).
tff(f427,plain,
infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8)))))),app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4)))))),string3(sK5))),
inference(definition_unfolding,[],[f360,f343,f343]) ).
tff(f428,plain,
~ $less($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),fib1($sum(max3,1))),
inference(definition_unfolding,[],[f359,f343]) ).
tff(f430,plain,
$less($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))))))),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3))))),fib1($sum(max3,1))),
inference(definition_unfolding,[],[f352,f343]) ).
tff(f459,plain,
$less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1($sum(max3,1))))),
inference(evaluation,[],[f428]) ).
tff(f489,plain,
$less(0,$sum(fib1($sum(max3,1)),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))))))),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3)))))))),
inference(evaluation,[],[f430]) ).
tff(f492,definition,
( spl11_1
<=> inv1(sK5) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
tff(f494,plain,
( inv1(sK5)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f492]) ).
tff(f495,plain,
spl11_1,
inference(avatar_split_clause,[],[f363,f492]) ).
tff(f497,definition,
( spl11_2
<=> ( $sum(max3,1) = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
tff(f499,plain,
( ( $sum(max3,1) = sK2 )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f497]) ).
tff(f500,plain,
spl11_2,
inference(avatar_split_clause,[],[f356,f497]) ).
tff(f507,definition,
( spl11_4
<=> ( 0 = length4(emp1) ) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
tff(f510,plain,
spl11_4,
inference(avatar_split_clause,[],[f289,f507]) ).
tff(f516,plain,
$less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,length5(rope,mk_array1(rope,sK2,t2tb3(sK8))))),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1($sum(max3,1))))),
inference(forward_demodulation,[],[f459,f325]) ).
tff(f518,definition,
( spl11_6
<=> ( sK3 = app3(sK5,sK6,sK7) ) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
tff(f520,plain,
( ( sK3 = app3(sK5,sK6,sK7) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f518]) ).
tff(f521,plain,
spl11_6,
inference(avatar_split_clause,[],[f364,f518]) ).
tff(f522,plain,
infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8)))))),app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,length5(rope,mk_array1(rope,sK2,t2tb3(sK4)))),string3(sK5))),
inference(forward_demodulation,[],[f427,f325]) ).
tff(f534,definition,
( spl11_9
<=> inv1(sK3) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
tff(f536,plain,
( inv1(sK3)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f534]) ).
tff(f537,plain,
spl11_9,
inference(avatar_split_clause,[],[f351,f534]) ).
tff(f564,plain,
$less(0,$sum(fib1($sum(max3,1)),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,length5(rope,mk_array1(rope,sK2,t2tb3(sK4))))),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3)))))))),
inference(forward_demodulation,[],[f489,f325]) ).
tff(f565,plain,
$less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1($sum(max3,1))))),
inference(forward_demodulation,[],[f516,f293]) ).
tff(f566,plain,
infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,length5(rope,t2tb1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8)))))),app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5))),
inference(forward_demodulation,[],[f522,f293]) ).
tff(f568,plain,
$less(0,$sum(fib1($sum(max3,1)),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3)))))))),
inference(forward_demodulation,[],[f564,f293]) ).
tff(f570,definition,
( spl11_15
<=> $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1($sum(max3,1))))) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
tff(f572,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1($sum(max3,1)))))
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f570]) ).
tff(f573,plain,
spl11_15,
inference(avatar_split_clause,[],[f565,f570]) ).
tff(f574,plain,
infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,length5(rope,mk_array1(rope,sK2,t2tb3(sK8)))),app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5))),
inference(forward_demodulation,[],[f566,f325]) ).
tff(f581,definition,
( spl11_17
<=> $less(0,$sum(fib1($sum(max3,1)),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3)))))))) ),
introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).
tff(f583,plain,
( $less(0,$sum(fib1($sum(max3,1)),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3))))))))
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f581]) ).
tff(f584,plain,
spl11_17,
inference(avatar_split_clause,[],[f568,f581]) ).
tff(f585,plain,
infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2),app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5))),
inference(forward_demodulation,[],[f574,f293]) ).
tff(f587,definition,
( spl11_18
<=> infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2),app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5))) ),
introduced(definition,[new_symbols(definition,[spl11_18])],[avatar_definition]) ).
tff(f589,plain,
( infix_eqeq1(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2),app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5)))
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f587]) ).
tff(f590,plain,
spl11_18,
inference(avatar_split_clause,[],[f585,f587]) ).
tff(f599,plain,
( $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3))))))))
| ~ spl11_2
| ~ spl11_17 ),
inference(superposition,[],[f583,f499]) ).
tff(f601,definition,
( spl11_20
<=> $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3)))))))) ),
introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition]) ).
tff(f603,plain,
( $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(match_rope1(int,sK3,t2tb(0),t2tb(str_proj_31(sK3)),t2tb(app_proj_31(sK3))))))))
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f601]) ).
tff(f604,plain,
( spl11_20
| ~ spl11_2
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f599,f581,f497,f601]) ).
tff(f605,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1(sK2))))
| ~ spl11_2
| ~ spl11_15 ),
inference(superposition,[],[f572,f499]) ).
tff(f607,definition,
( spl11_21
<=> $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
tff(f609,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(match_rope1(int,sK6,t2tb(0),t2tb(str_proj_31(sK6)),t2tb(app_proj_31(sK6))))),1),$uminus(fib1(sK2))))
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f607]) ).
tff(f610,plain,
( spl11_21
| ~ spl11_2
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f605,f570,f497,f607]) ).
tff(f627,plain,
( ( string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2) = app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5)) )
| ~ spl11_18 ),
inference(resolution,[],[f416,f589]) ).
tff(f629,definition,
( spl11_23
<=> ( string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2) = app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5)) ) ),
introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).
tff(f631,plain,
( ( string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2) = app2(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2),string3(sK5)) )
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f629]) ).
tff(f632,plain,
( spl11_23
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f627,f587,f629]) ).
tff(f659,plain,
( ( app_proj_31(sK3) = sK7 )
| ~ spl11_6 ),
inference(superposition,[],[f393,f520]) ).
tff(f661,definition,
( spl11_28
<=> ( app_proj_31(sK3) = sK7 ) ),
introduced(definition,[new_symbols(definition,[spl11_28])],[avatar_definition]) ).
tff(f663,plain,
( ( app_proj_31(sK3) = sK7 )
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f661]) ).
tff(f664,plain,
( spl11_28
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f659,f518,f661]) ).
tff(f691,plain,
( ~ inv1(sK3)
| $less(0,length4(sK6))
| ~ spl11_6 ),
inference(superposition,[],[f384,f520]) ).
tff(f692,plain,
( $less(0,length4(sK6))
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_subsumption_resolution,[],[f691,f536]) ).
tff(f694,definition,
( spl11_31
<=> $less(0,length4(sK6)) ),
introduced(definition,[new_symbols(definition,[spl11_31])],[avatar_definition]) ).
tff(f697,plain,
( spl11_31
| ~ spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f692,f534,f518,f694]) ).
tff(f726,plain,
! [X0: rope1,X1: string2] :
( ~ inv1(X0)
| ( $sum(length3(X1),length4(X0)) = length3(app2(X1,string3(X0))) ) ),
inference(superposition,[],[f341,f404]) ).
tff(f818,plain,
( ~ inv1(sK3)
| ( sK7 = $sum(length4(sK5),length4(sK6)) )
| ~ spl11_6 ),
inference(superposition,[],[f383,f520]) ).
tff(f819,plain,
( ( sK7 = $sum(length4(sK5),length4(sK6)) )
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_subsumption_resolution,[],[f818,f536]) ).
tff(f821,definition,
( spl11_38
<=> ( sK7 = $sum(length4(sK5),length4(sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl11_38])],[avatar_definition]) ).
tff(f824,plain,
( spl11_38
| ~ spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f819,f534,f518,f821]) ).
tff(f876,plain,
( ! [X2: uni,X3: uni,X0: ty,X1: uni] :
( ( match_rope1(X0,sK3,X1,X2,X3) = X3 )
| ~ sort1(X0,X3) )
| ~ spl11_6 ),
inference(superposition,[],[f327,f520]) ).
tff(f879,plain,
( ~ sort1(int,t2tb(app_proj_31(sK3)))
| $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(t2tb(app_proj_31(sK3)))))))
| ~ spl11_6
| ~ spl11_20 ),
inference(superposition,[],[f603,f876]) ).
tff(f884,plain,
( $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),tb2t(t2tb(app_proj_31(sK3)))))))
| ~ spl11_6
| ~ spl11_20 ),
inference(forward_subsumption_resolution,[],[f879,f308]) ).
tff(f887,plain,
( $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),app_proj_31(sK3)))))
| ~ spl11_6
| ~ spl11_20 ),
inference(forward_demodulation,[],[f884,f322]) ).
tff(f889,definition,
( spl11_42
<=> $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),sK7)))) ),
introduced(definition,[new_symbols(definition,[spl11_42])],[avatar_definition]) ).
tff(f894,plain,
( $less(0,$sum(fib1(sK2),$uminus($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),sK7))))
| ~ spl11_6
| ~ spl11_20
| ~ spl11_28 ),
inference(forward_demodulation,[],[f887,f663]) ).
tff(f896,plain,
( spl11_42
| ~ spl11_6
| ~ spl11_20
| ~ spl11_28 ),
inference(avatar_split_clause,[],[f894,f661,f601,f518,f889]) ).
tff(f950,plain,
! [X0: rope1] :
( ( str_proj_31(X0) = length4(X0) )
| ( app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 )
| ( emp1 = X0 ) ),
inference(superposition,[],[f288,f294]) ).
tff(f951,plain,
! [X2: uni,X3: uni,X0: rope1,X1: ty,X4: uni] :
( ( match_rope1(X1,X0,X2,X3,X4) = X3 )
| ~ sort1(X1,X3)
| ( emp1 = X0 )
| ( app3(app_proj_11(X0),app_proj_21(X0),app_proj_31(X0)) = X0 ) ),
inference(superposition,[],[f338,f294]) ).
tff(f1275,plain,
( ! [X0: string2] : ( length3(app2(X0,string3(sK5))) = $sum(length3(X0),length4(sK5)) )
| ~ spl11_1 ),
inference(resolution,[],[f726,f494]) ).
tff(f1500,definition,
( spl11_53
<=> ( emp1 = sK6 ) ),
introduced(definition,[new_symbols(definition,[spl11_53])],[avatar_definition]) ).
tff(f1504,definition,
( spl11_54
<=> ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),app_proj_31(sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl11_54])],[avatar_definition]) ).
tff(f1505,plain,
( ( sK6 != app3(app_proj_11(sK6),app_proj_21(sK6),app_proj_31(sK6)) )
| spl11_54 ),
inference(avatar_component_clause,[],[f1504]) ).
tff(f1506,plain,
( ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),app_proj_31(sK6)) )
| ~ spl11_54 ),
inference(avatar_component_clause,[],[f1504]) ).
tff(f1727,plain,
( ( emp1 = sK6 )
| ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),app_proj_31(sK6)) )
| ~ sort1(int,t2tb(str_proj_31(sK6)))
| $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(t2tb(str_proj_31(sK6)))),1),$uminus(fib1(sK2))))
| ~ spl11_21 ),
inference(superposition,[],[f609,f951]) ).
tff(f1733,plain,
( ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),app_proj_31(sK6)) )
| ( emp1 = sK6 )
| $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(t2tb(str_proj_31(sK6)))),1),$uminus(fib1(sK2))))
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f1727,f308]) ).
tff(f1743,plain,
( ( emp1 = sK6 )
| $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),str_proj_31(sK6)),1),$uminus(fib1(sK2))))
| ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),app_proj_31(sK6)) )
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1733,f322]) ).
tff(f1754,definition,
( spl11_75
<=> $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),str_proj_31(sK6)),1),$uminus(fib1(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl11_75])],[avatar_definition]) ).
tff(f1756,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),str_proj_31(sK6)),1),$uminus(fib1(sK2))))
| ~ spl11_75 ),
inference(avatar_component_clause,[],[f1754]) ).
tff(f1757,plain,
( spl11_53
| spl11_75
| spl11_54
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f1743,f607,f1504,f1754,f1500]) ).
tff(f1807,plain,
( ( app_proj_31(sK6) = length4(sK6) )
| ~ spl11_54 ),
inference(superposition,[],[f290,f1506]) ).
tff(f1853,definition,
( spl11_83
<=> ( app_proj_31(sK6) = length4(sK6) ) ),
introduced(definition,[new_symbols(definition,[spl11_83])],[avatar_definition]) ).
tff(f1855,plain,
( ( app_proj_31(sK6) = length4(sK6) )
| ~ spl11_83 ),
inference(avatar_component_clause,[],[f1853]) ).
tff(f1856,plain,
( spl11_83
| ~ spl11_54 ),
inference(avatar_split_clause,[],[f1807,f1504,f1853]) ).
tff(f1913,plain,
( ( length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)) = $sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),length4(sK5)) )
| ~ spl11_1
| ~ spl11_23 ),
inference(superposition,[],[f1275,f631]) ).
tff(f1948,definition,
( spl11_87
<=> ( length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)) = $sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK4))),2,sK2)),length4(sK5)) ) ),
introduced(definition,[new_symbols(definition,[spl11_87])],[avatar_definition]) ).
tff(f1951,plain,
( spl11_87
| ~ spl11_1
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f1913,f629,f492,f1948]) ).
tff(f2159,plain,
( ( emp1 = sK6 )
| ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),app_proj_31(sK6)) )
| $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),length4(sK6)),1),$uminus(fib1(sK2))))
| ~ spl11_75 ),
inference(superposition,[],[f1756,f950]) ).
tff(f2160,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),length4(sK6)),1),$uminus(fib1(sK2))))
| ( emp1 = sK6 )
| spl11_54
| ~ spl11_75 ),
inference(forward_subsumption_resolution,[],[f2159,f1505]) ).
tff(f2162,definition,
( spl11_94
<=> $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),length4(sK6)),1),$uminus(fib1(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl11_94])],[avatar_definition]) ).
tff(f2165,plain,
( spl11_53
| spl11_94
| spl11_54
| ~ spl11_75 ),
inference(avatar_split_clause,[],[f2160,f1754,f1504,f2162,f1500]) ).
tff(f2167,plain,
( ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),length4(sK6)) )
| ~ spl11_54
| ~ spl11_83 ),
inference(forward_demodulation,[],[f1506,f1855]) ).
tff(f2169,definition,
( spl11_95
<=> ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),length4(sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl11_95])],[avatar_definition]) ).
tff(f2171,plain,
( ( sK6 = app3(app_proj_11(sK6),app_proj_21(sK6),length4(sK6)) )
| ~ spl11_95 ),
inference(avatar_component_clause,[],[f2169]) ).
tff(f2172,plain,
( spl11_95
| ~ spl11_54
| ~ spl11_83 ),
inference(avatar_split_clause,[],[f2167,f1853,f1504,f2169]) ).
tff(f2197,plain,
( ! [X2: uni,X3: uni,X0: ty,X1: uni] :
( ( match_rope1(X0,sK6,X1,X2,X3) = X3 )
| ~ sort1(X0,X3) )
| ~ spl11_95 ),
inference(superposition,[],[f327,f2171]) ).
tff(f2486,plain,
( ~ sort1(int,t2tb(app_proj_31(sK6)))
| $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(t2tb(app_proj_31(sK6)))),1),$uminus(fib1(sK2))))
| ~ spl11_21
| ~ spl11_95 ),
inference(superposition,[],[f609,f2197]) ).
tff(f2489,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),tb2t(t2tb(app_proj_31(sK6)))),1),$uminus(fib1(sK2))))
| ~ spl11_21
| ~ spl11_95 ),
inference(forward_subsumption_resolution,[],[f2486,f308]) ).
tff(f2493,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),app_proj_31(sK6)),1),$uminus(fib1(sK2))))
| ~ spl11_21
| ~ spl11_95 ),
inference(forward_demodulation,[],[f2489,f322]) ).
tff(f2496,plain,
( $less(0,$sum($sum($sum(length3(string_of_array1(tb2t1(mk_array1(rope,sK2,t2tb3(sK8))),2,sK2)),length4(sK6)),1),$uminus(fib1(sK2))))
| ~ spl11_21
| ~ spl11_83
| ~ spl11_95 ),
inference(forward_demodulation,[],[f2493,f1855]) ).
tff(f2498,plain,
( spl11_94
| ~ spl11_21
| ~ spl11_83
| ~ spl11_95 ),
inference(avatar_split_clause,[],[f2496,f2169,f1853,f607,f2162]) ).
tff(f2501,plain,
$false,
inference(avatar_smt_refutation,[],[f2498,f2172,f2165,f1951,f1856,f1757,f896,f824,f697,f664,f632,f610,f604,f590,f584,f573,f537,f521,f510,f500,f495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW640_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n018.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 14:25:55 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/1.04 % (3422342)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.74/1.04 % (3422353)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3028109611:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.74/1.04 % (3422355)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=971613435:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.74/1.04 % (3422351)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1551452378:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.74/1.04 % (3422348)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1245884313:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.74/1.04 % (3422347)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3087860081:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.74/1.04 % (3422352)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3392252860:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.74/1.04 % (3422349)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3532389224:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.74/1.04 % (3422352)Instruction limit reached!
% 2.74/1.04 % (3422352)------------------------------
% 2.74/1.04 % (3422352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.04 % (3422352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.04 % (3422352)CaDiCaL version: 2.1.3
% 2.74/1.04 % (3422352)Termination reason: Instruction limit
% 2.74/1.04 % (3422352)Termination phase: Preprocessing 3
% 2.74/1.04 % (3422352)Time elapsed: 0.003 s
% 2.74/1.04 % (3422352)Peak memory usage: 86 MB
% 2.74/1.04 % (3422352)Instructions burned: 5 (million)
% 2.74/1.04 % (3422351)Instruction limit reached!
% 2.74/1.04 % (3422351)------------------------------
% 2.74/1.04 % (3422351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.04 % (3422351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.04 % (3422351)CaDiCaL version: 2.1.3
% 2.74/1.04 % (3422351)Termination reason: Instruction limit
% 2.74/1.04 % (3422351)Termination phase: Property scanning
% 2.74/1.04 % (3422351)Time elapsed: 0.005 s
% 2.74/1.04 % (3422351)Peak memory usage: 87 MB
% 2.74/1.04 % (3422351)Instructions burned: 8 (million)
% 2.74/1.04 % (3422347)Instruction limit reached!
% 2.74/1.04 % (3422347)------------------------------
% 2.74/1.04 % (3422347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.04 % (3422347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.04 % (3422347)CaDiCaL version: 2.1.3
% 2.74/1.04 % (3422347)Termination reason: Instruction limit
% 2.74/1.04 % (3422347)Termination phase: Saturation
% 2.74/1.04 % (3422347)Time elapsed: 0.026 s
% 2.74/1.04 % (3422347)Peak memory usage: 106 MB
% 2.74/1.04 % (3422347)Instructions burned: 12 (million)
% 2.74/1.04 % (3422353)Instruction limit reached!
% 2.74/1.04 % (3422353)------------------------------
% 2.74/1.04 % (3422353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.04 % (3422353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.04 % (3422353)CaDiCaL version: 2.1.3
% 2.74/1.04 % (3422353)Termination reason: Instruction limit
% 2.74/1.04 % (3422353)Termination phase: Saturation
% 2.74/1.04 % (3422353)Time elapsed: 0.031 s
% 2.74/1.04 % (3422353)Peak memory usage: 116 MB
% 2.74/1.04 % (3422353)Instructions burned: 47 (million)
% 2.74/1.04 % (3422355)Instruction limit reached!
% 2.74/1.04 % (3422355)------------------------------
% 2.74/1.04 % (3422355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.04 % (3422355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.04 % (3422355)CaDiCaL version: 2.1.3
% 2.74/1.04 % (3422355)Termination reason: Instruction limit
% 2.74/1.04 % (3422355)Termination phase: Saturation
% 2.74/1.04 % (3422355)Time elapsed: 0.042 s
% 2.74/1.04 % (3422355)Peak memory usage: 116 MB
% 2.74/1.04 % (3422355)Instructions burned: 33 (million)
% 2.74/1.04 % (3422430)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3463080842:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 2.74/1.04 % (3422430)Instruction limit reached!
% 2.74/1.04 % (3422430)------------------------------
% 2.74/1.04 % (3422430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.25 % (3422430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.25 % (3422430)CaDiCaL version: 2.1.3
% 4.78/1.25 % (3422430)Termination reason: Instruction limit
% 4.78/1.25 % (3422430)Termination phase: Saturation
% 4.78/1.25 % (3422430)Time elapsed: 0.010 s
% 4.78/1.25 % (3422430)Peak memory usage: 89 MB
% 4.78/1.25 % (3422430)Instructions burned: 26 (million)
% 4.78/1.25 % (3422425)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=2446985458:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.78/1.25 % (3422349)Instruction limit reached!
% 4.78/1.25 % (3422349)------------------------------
% 4.78/1.25 % (3422349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.25 % (3422349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.25 % (3422349)CaDiCaL version: 2.1.3
% 4.78/1.25 % (3422349)Termination reason: Instruction limit
% 4.78/1.25 % (3422349)Termination phase: Saturation
% 4.78/1.25 % (3422349)Time elapsed: 0.173 s
% 4.78/1.25 % (3422349)Peak memory usage: 118 MB
% 4.78/1.25 % (3422349)Instructions burned: 202 (million)
% 4.78/1.25 % (3422429)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1321831111:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.78/1.25 % (3422422)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1644728502:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.78/1.25 % (3422422)Instruction limit reached!
% 4.78/1.25 % (3422422)------------------------------
% 4.78/1.25 % (3422422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.25 % (3422422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.25 % (3422422)CaDiCaL version: 2.1.3
% 4.78/1.25 % (3422422)Termination reason: Instruction limit
% 4.78/1.25 % (3422422)Termination phase: Saturation
% 4.78/1.25 % (3422422)Time elapsed: 0.009 s
% 4.78/1.25 % (3422422)Peak memory usage: 88 MB
% 4.78/1.25 % (3422422)Instructions burned: 14 (million)
% 4.78/1.25 % (3422429)Instruction limit reached!
% 4.78/1.25 % (3422429)------------------------------
% 4.78/1.25 % (3422429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.25 % (3422429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.25 % (3422429)CaDiCaL version: 2.1.3
% 4.78/1.25 % (3422429)Termination reason: Instruction limit
% 4.78/1.25 % (3422429)Termination phase: Saturation
% 4.78/1.25 % (3422429)Time elapsed: 0.010 s
% 4.78/1.25 % (3422429)Peak memory usage: 89 MB
% 4.78/1.25 % (3422429)Instructions burned: 17 (million)
% 4.78/1.25 % (3422425)Instruction limit reached!
% 4.78/1.25 % (3422425)------------------------------
% 4.78/1.25 % (3422425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.25 % (3422425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.25 % (3422425)CaDiCaL version: 2.1.3
% 4.78/1.25 % (3422425)Termination reason: Instruction limit
% 4.78/1.25 % (3422425)Termination phase: Saturation
% 4.78/1.25 % (3422425)Time elapsed: 0.022 s
% 4.78/1.25 % (3422425)Peak memory usage: 89 MB
% 4.78/1.25 % (3422425)Instructions burned: 29 (million)
% 4.78/1.25 % (3422433)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=3934698600:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.78/1.25 % (3422348)Instruction limit reached!
% 4.78/1.25 % (3422348)------------------------------
% 4.78/1.25 % (3422348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.25 % (3422348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.25 % (3422348)CaDiCaL version: 2.1.3
% 4.78/1.25 % (3422348)Termination reason: Instruction limit
% 4.78/1.25 % (3422348)Termination phase: Saturation
% 4.78/1.25 % (3422348)Time elapsed: 0.215 s
% 4.78/1.25 % (3422348)Peak memory usage: 117 MB
% 4.78/1.25 % (3422348)Instructions burned: 308 (million)
% 4.78/1.25 % (3422433)Instruction limit reached!
% 4.78/1.25 % (3422433)------------------------------
% 4.78/1.25 % (3422433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.25 % (3422433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.56 % (3422433)CaDiCaL version: 2.1.3
% 5.79/1.56 % (3422433)Termination reason: Instruction limit
% 5.79/1.56 % (3422433)Termination phase: Saturation
% 5.79/1.56 % (3422433)Time elapsed: 0.018 s
% 5.79/1.56 % (3422433)Peak memory usage: 90 MB
% 5.79/1.56 % (3422433)Instructions burned: 27 (million)
% 5.79/1.56 % (3422454)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3326239344:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.79/1.56 % (3422470)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2505237261:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.79/1.56 % (3422476)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1990122539:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.79/1.56 % (3422475)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1841729106:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.79/1.56 % (3422470)Instruction limit reached!
% 5.79/1.56 % (3422470)------------------------------
% 5.79/1.56 % (3422470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.56 % (3422470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.56 % (3422470)CaDiCaL version: 2.1.3
% 5.79/1.56 % (3422470)Termination reason: Instruction limit
% 5.79/1.56 % (3422470)Termination phase: Unused predicate definition removal
% 5.79/1.56 % (3422470)Time elapsed: 0.002 s
% 5.79/1.56 % (3422470)Peak memory usage: 86 MB
% 5.79/1.56 % (3422470)Instructions burned: 3 (million)
% 5.79/1.56 % (3422476)Instruction limit reached!
% 5.79/1.56 % (3422476)------------------------------
% 5.79/1.56 % (3422476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.56 % (3422476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.56 % (3422476)CaDiCaL version: 2.1.3
% 5.79/1.56 % (3422476)Termination reason: Instruction limit
% 5.79/1.56 % (3422476)Termination phase: Preprocessing 3
% 5.79/1.56 % (3422476)Time elapsed: 0.003 s
% 5.79/1.56 % (3422476)Peak memory usage: 86 MB
% 5.79/1.56 % (3422476)Instructions burned: 5 (million)
% 5.79/1.56 % (3422479)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2040631577:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.79/1.56 % (3422454)Instruction limit reached!
% 5.79/1.56 % (3422454)------------------------------
% 5.79/1.56 % (3422454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.56 % (3422454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.56 % (3422454)CaDiCaL version: 2.1.3
% 5.79/1.56 % (3422454)Termination reason: Instruction limit
% 5.79/1.56 % (3422454)Termination phase: Saturation
% 5.79/1.56 % (3422454)Time elapsed: 0.053 s
% 5.79/1.56 % (3422454)Peak memory usage: 90 MB
% 5.79/1.56 % (3422454)Instructions burned: 86 (million)
% 5.79/1.56 % (3422488)lrs+10_1_thi=all:si=on:fd=off:random_seed=3679382942:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.79/1.56 % (3422489)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=1832283892:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.79/1.56 % (3422489)Instruction limit reached!
% 5.79/1.56 % (3422489)------------------------------
% 5.79/1.56 % (3422489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.56 % (3422489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.56 % (3422489)CaDiCaL version: 2.1.3
% 5.79/1.56 % (3422489)Termination reason: Instruction limit
% 5.79/1.56 % (3422489)Termination phase: Property scanning
% 5.79/1.56 % (3422489)Time elapsed: 0.006 s
% 5.79/1.56 % (3422489)Peak memory usage: 86 MB
% 5.79/1.56 % (3422489)Instructions burned: 10 (million)
% 5.79/1.56 % (3422488)Instruction limit reached!
% 5.79/1.56 % (3422488)------------------------------
% 5.79/1.56 % (3422488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.56 % (3422488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.56 % (3422488)CaDiCaL version: 2.1.3
% 5.79/1.56 % (3422488)Termination reason: Instruction limit
% 5.79/1.56 % (3422488)Termination phase: Saturation
% 5.79/1.56 % (3422488)Time elapsed: 0.059 s
% 5.79/1.56 % (3422488)Peak memory usage: 116 MB
% 5.79/1.56 % (3422488)Instructions burned: 53 (million)
% 8.59/1.93 % (3422475)Instruction limit reached!
% 8.59/1.93 % (3422475)------------------------------
% 8.59/1.93 % (3422475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.93 % (3422475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.93 % (3422475)CaDiCaL version: 2.1.3
% 8.59/1.93 % (3422475)Termination reason: Instruction limit
% 8.59/1.93 % (3422475)Termination phase: Saturation
% 8.59/1.93 % (3422475)Time elapsed: 0.113 s
% 8.59/1.93 % (3422475)Peak memory usage: 91 MB
% 8.59/1.93 % (3422475)Instructions burned: 181 (million)
% 8.59/1.93 % (3422479)Instruction limit reached!
% 8.59/1.93 % (3422479)------------------------------
% 8.59/1.93 % (3422479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.93 % (3422479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.93 % (3422479)CaDiCaL version: 2.1.3
% 8.59/1.93 % (3422479)Termination reason: Instruction limit
% 8.59/1.93 % (3422479)Termination phase: Saturation
% 8.59/1.93 % (3422479)Time elapsed: 0.103 s
% 8.59/1.93 % (3422479)Peak memory usage: 134 MB
% 8.59/1.93 % (3422479)Instructions burned: 66 (million)
% 8.59/1.93 % (3422513)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3088764318:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 8.59/1.93 % (3422512)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1636447003:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 8.59/1.93 % (3422513)Instruction limit reached!
% 8.59/1.93 % (3422513)------------------------------
% 8.59/1.93 % (3422513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.93 % (3422513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.93 % (3422513)CaDiCaL version: 2.1.3
% 8.59/1.93 % (3422513)Termination reason: Instruction limit
% 8.59/1.93 % (3422513)Termination phase: Property scanning
% 8.59/1.93 % (3422513)Time elapsed: 0.001 s
% 8.59/1.93 % (3422513)Peak memory usage: 85 MB
% 8.59/1.93 % (3422513)Instructions burned: 2 (million)
% 8.59/1.93 % (3422512)Instruction limit reached!
% 8.59/1.93 % (3422512)------------------------------
% 8.59/1.93 % (3422512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.93 % (3422512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.93 % (3422512)CaDiCaL version: 2.1.3
% 8.59/1.93 % (3422512)Termination reason: Instruction limit
% 8.59/1.93 % (3422512)Termination phase: shuffling
% 8.59/1.93 % (3422512)Time elapsed: 0.002 s
% 8.59/1.93 % (3422512)Peak memory usage: 85 MB
% 8.59/1.93 % (3422512)Instructions burned: 3 (million)
% 8.59/1.93 % (3422515)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3877517908:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 8.59/1.93 % (3422518)dis+10_1_si=on:random_seed=1167547211:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 8.59/1.93 % (3422518)Instruction limit reached!
% 8.59/1.93 % (3422518)------------------------------
% 8.59/1.93 % (3422518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.93 % (3422518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.93 % (3422518)CaDiCaL version: 2.1.3
% 8.59/1.93 % (3422518)Termination reason: Instruction limit
% 8.59/1.93 % (3422518)Termination phase: Saturation
% 8.59/1.93 % (3422518)Time elapsed: 0.007 s
% 8.59/1.93 % (3422518)Peak memory usage: 88 MB
% 8.59/1.93 % (3422518)Instructions burned: 11 (million)
% 8.59/1.93 % (3422520)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3719068104: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)
% 8.59/1.93 % (3422519)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=827209969:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 8.59/1.93 % (3422520)Instruction limit reached!
% 8.59/1.93 % (3422520)------------------------------
% 8.59/1.93 % (3422520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.93 % (3422520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.93 % (3422520)CaDiCaL version: 2.1.3
% 8.59/1.93 % (3422520)Termination reason: Instruction limit
% 8.59/1.93 % (3422520)Termination phase: Saturation
% 8.59/1.93 % (3422520)Time elapsed: 0.038 s
% 8.59/1.93 % (3422520)Peak memory usage: 89 MB
% 12.13/2.32 % (3422520)Instructions burned: 35 (million)
% 12.13/2.32 % (3422521)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=768309984:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 12.13/2.32 % (3422515)Instruction limit reached!
% 12.13/2.32 % (3422515)------------------------------
% 12.13/2.32 % (3422515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/2.32 % (3422515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/2.32 % (3422515)CaDiCaL version: 2.1.3
% 12.13/2.32 % (3422515)Termination reason: Instruction limit
% 12.13/2.32 % (3422515)Termination phase: Saturation
% 12.13/2.32 % (3422515)Time elapsed: 0.139 s
% 12.13/2.32 % (3422515)Peak memory usage: 117 MB
% 12.13/2.32 % (3422515)Instructions burned: 127 (million)
% 12.13/2.32 % (3422521)Instruction limit reached!
% 12.13/2.32 % (3422521)------------------------------
% 12.13/2.32 % (3422521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/2.32 % (3422521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/2.32 % (3422521)CaDiCaL version: 2.1.3
% 12.13/2.32 % (3422521)Termination reason: Instruction limit
% 12.13/2.32 % (3422521)Termination phase: Property scanning
% 12.13/2.32 % (3422521)Time elapsed: 0.002 s
% 12.13/2.32 % (3422521)Peak memory usage: 85 MB
% 12.13/2.32 % (3422521)Instructions burned: 2 (million)
% 12.13/2.32 % (3422519)Refutation not found, incomplete strategy
% 12.13/2.32 % (3422519)------------------------------
% 12.13/2.32 % (3422519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/2.32 % (3422519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/2.32 % (3422519)CaDiCaL version: 2.1.3
% 12.13/2.32 % (3422519)Termination reason: Refutation not found, incomplete strategy
% 12.13/2.32 % (3422519)Time elapsed: 0.016 s
% 12.13/2.32 % (3422519)Peak memory usage: 89 MB
% 12.13/2.32 % (3422519)Instructions burned: 24 (million)
% 12.13/2.32 % (3422524)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1480364474:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 12.13/2.32 % (3422525)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1390348014:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 12.13/2.32 % (3422524)Instruction limit reached!
% 12.13/2.32 % (3422524)------------------------------
% 12.13/2.32 % (3422524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/2.32 % (3422524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/2.32 % (3422524)CaDiCaL version: 2.1.3
% 12.13/2.32 % (3422524)Termination reason: Instruction limit
% 12.13/2.32 % (3422524)Termination phase: Property scanning
% 12.13/2.32 % (3422524)Time elapsed: 0.008 s
% 12.13/2.32 % (3422524)Peak memory usage: 87 MB
% 12.13/2.32 % (3422524)Instructions burned: 9 (million)
% 12.13/2.32 % (3422528)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=4223486767:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 12.13/2.32 % (3422528)Instruction limit reached!
% 12.13/2.32 % (3422528)------------------------------
% 12.13/2.32 % (3422528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/2.32 % (3422528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/2.32 % (3422528)CaDiCaL version: 2.1.3
% 12.13/2.32 % (3422528)Termination reason: Instruction limit
% 12.13/2.32 % (3422528)Termination phase: Saturation
% 12.13/2.32 % (3422528)Time elapsed: 0.027 s
% 12.13/2.32 % (3422528)Peak memory usage: 98 MB
% 12.13/2.32 % (3422528)Instructions burned: 13 (million)
% 12.13/2.32 % (3422540)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3640835245:i=226:rtra=on:gtg=position:ss=axioms_2991 on theBenchmark for (2991ds/226Mi)
% 12.13/2.32 % (3422519)------------------------------
% 12.13/2.32 % (3422519)------------------------------
% 12.13/2.32 % (3422542)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=664467186:i=71:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/71Mi)
% 12.13/2.32 % (3422541)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=178719940:i=10:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 12.13/2.32 % (3422541)Instruction limit reached!
% 12.13/2.32 % (3422541)------------------------------
% 12.13/2.32 % (3422541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/2.53 % (3422541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.53 % (3422541)CaDiCaL version: 2.1.3
% 13.89/2.53 % (3422541)Termination reason: Instruction limit
% 13.89/2.53 % (3422541)Termination phase: Saturation
% 13.89/2.53 % (3422541)Time elapsed: 0.012 s
% 13.89/2.53 % (3422541)Peak memory usage: 88 MB
% 13.89/2.53 % (3422541)Instructions burned: 11 (million)
% 13.89/2.53 % (3422545)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=2948460205:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2991 on theBenchmark for (2991ds/75Mi)
% 13.89/2.53 % (3422540)Instruction limit reached!
% 13.89/2.53 % (3422540)------------------------------
% 13.89/2.53 % (3422540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/2.53 % (3422540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.53 % (3422540)CaDiCaL version: 2.1.3
% 13.89/2.53 % (3422540)Termination reason: Instruction limit
% 13.89/2.53 % (3422540)Termination phase: Saturation
% 13.89/2.53 % (3422540)Time elapsed: 0.129 s
% 13.89/2.54 % (3422540)Peak memory usage: 118 MB
% 13.89/2.54 % (3422540)Instructions burned: 227 (million)
% 13.89/2.54 % (3422525)Instruction limit reached!
% 13.89/2.54 % (3422525)------------------------------
% 13.89/2.54 % (3422525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/2.54 % (3422525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.54 % (3422525)CaDiCaL version: 2.1.3
% 13.89/2.54 % (3422525)Termination reason: Instruction limit
% 13.89/2.54 % (3422525)Termination phase: Saturation
% 13.89/2.54 % (3422525)Time elapsed: 0.350 s
% 13.89/2.54 % (3422525)Peak memory usage: 92 MB
% 13.89/2.54 % (3422525)Instructions burned: 371 (million)
% 13.89/2.54 % (3422542)Instruction limit reached!
% 13.89/2.54 % (3422542)------------------------------
% 13.89/2.54 % (3422542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/2.54 % (3422542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.54 % (3422542)CaDiCaL version: 2.1.3
% 13.89/2.54 % (3422542)Termination reason: Instruction limit
% 13.89/2.54 % (3422542)Termination phase: Saturation
% 13.89/2.54 % (3422542)Time elapsed: 0.126 s
% 13.89/2.54 % (3422542)Peak memory usage: 133 MB
% 13.89/2.54 % (3422542)Instructions burned: 71 (million)
% 13.89/2.54 % (3422545)Instruction limit reached!
% 13.89/2.54 % (3422545)------------------------------
% 13.89/2.54 % (3422545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/2.54 % (3422545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.54 % (3422545)CaDiCaL version: 2.1.3
% 13.89/2.54 % (3422545)Termination reason: Instruction limit
% 13.89/2.54 % (3422545)Termination phase: Saturation
% 13.89/2.54 % (3422545)Time elapsed: 0.082 s
% 13.89/2.54 % (3422545)Peak memory usage: 90 MB
% 13.89/2.54 % (3422545)Instructions burned: 75 (million)
% 13.89/2.54 % (3422557)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=3539667685:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2990 on theBenchmark for (2990ds/294Mi)
% 13.89/2.54 % (3422563)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3738382336:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2989 on theBenchmark for (2989ds/130Mi)
% 13.89/2.54 % (3422566)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2131510568:i=131:rtra=on_2988 on theBenchmark for (2988ds/131Mi)
% 13.89/2.54 % (3422563)Instruction limit reached!
% 13.89/2.54 % (3422563)------------------------------
% 13.89/2.54 % (3422563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/2.54 % (3422563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.54 % (3422563)CaDiCaL version: 2.1.3
% 13.89/2.54 % (3422563)Termination reason: Instruction limit
% 13.89/2.54 % (3422563)Termination phase: Saturation
% 13.89/2.54 % (3422563)Time elapsed: 0.139 s
% 13.89/2.54 % (3422563)Peak memory usage: 117 MB
% 13.89/2.54 % (3422563)Instructions burned: 130 (million)
% 13.89/2.54 % (3422577)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3133605662:i=307:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/307Mi)
% 13.89/2.54 % (3422571)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3077236242:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/40Mi)
% 13.89/2.54 % (3422581)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1246303350:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/598Mi)
% 15.99/2.83 % (3422582)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=4126103334:i=131:canc=cautious:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/131Mi)
% 15.99/2.83 % (3422571)Instruction limit reached!
% 15.99/2.83 % (3422571)------------------------------
% 15.99/2.83 % (3422571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/2.83 % (3422571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.83 % (3422571)CaDiCaL version: 2.1.3
% 15.99/2.83 % (3422571)Termination reason: Instruction limit
% 15.99/2.83 % (3422571)Termination phase: Saturation
% 15.99/2.83 % (3422571)Time elapsed: 0.089 s
% 15.99/2.83 % (3422571)Peak memory usage: 134 MB
% 15.99/2.83 % (3422571)Instructions burned: 40 (million)
% 15.99/2.83 % (3422577)Instruction limit reached!
% 15.99/2.83 % (3422577)------------------------------
% 15.99/2.83 % (3422577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/2.83 % (3422577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.83 % (3422577)CaDiCaL version: 2.1.3
% 15.99/2.83 % (3422577)Termination reason: Instruction limit
% 15.99/2.83 % (3422577)Termination phase: Saturation
% 15.99/2.83 % (3422577)Time elapsed: 0.144 s
% 15.99/2.83 % (3422577)Peak memory usage: 92 MB
% 15.99/2.83 % (3422577)Instructions burned: 318 (million)
% 15.99/2.83 % (3422557)Instruction limit reached!
% 15.99/2.83 % (3422557)------------------------------
% 15.99/2.83 % (3422557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/2.83 % (3422557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.83 % (3422557)CaDiCaL version: 2.1.3
% 15.99/2.83 % (3422557)Termination reason: Instruction limit
% 15.99/2.83 % (3422557)Termination phase: Saturation
% 15.99/2.83 % (3422557)Time elapsed: 0.312 s
% 15.99/2.83 % (3422557)Peak memory usage: 91 MB
% 15.99/2.83 % (3422557)Instructions burned: 294 (million)
% 15.99/2.83 % (3422566)Instruction limit reached!
% 15.99/2.83 % (3422566)------------------------------
% 15.99/2.83 % (3422566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/2.83 % (3422566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.83 % (3422566)CaDiCaL version: 2.1.3
% 15.99/2.83 % (3422566)Termination reason: Instruction limit
% 15.99/2.83 % (3422566)Termination phase: Saturation
% 15.99/2.83 % (3422566)Time elapsed: 0.202 s
% 15.99/2.83 % (3422566)Peak memory usage: 134 MB
% 15.99/2.83 % (3422566)Instructions burned: 131 (million)
% 15.99/2.83 % (3422582)Instruction limit reached!
% 15.99/2.83 % (3422582)------------------------------
% 15.99/2.83 % (3422582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/2.83 % (3422582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.83 % (3422582)CaDiCaL version: 2.1.3
% 15.99/2.83 % (3422582)Termination reason: Instruction limit
% 15.99/2.83 % (3422582)Termination phase: Saturation
% 15.99/2.83 % (3422582)Time elapsed: 0.131 s
% 15.99/2.83 % (3422582)Peak memory usage: 117 MB
% 15.99/2.83 % (3422582)Instructions burned: 132 (million)
% 15.99/2.83 % (3422598)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=383229103:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2985 on theBenchmark for (2985ds/259Mi)
% 15.99/2.83 % (3422604)dis+10_1_si=on:random_seed=2802601496:s2a=on:i=1000:rtra=on:gtg=exists_all_2984 on theBenchmark for (2984ds/1000Mi)
% 15.99/2.83 % (3422608)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=4235759301:i=383:fsr=off:rtra=on:ev=force_2984 on theBenchmark for (2984ds/383Mi)
% 15.99/2.83 % (3422613)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=1903369625:i=65:nm=16:rtra=on_2984 on theBenchmark for (2984ds/65Mi)
% 15.99/2.83 % (3422617)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=2559613459:i=121:nm=16:rtra=on_2983 on theBenchmark for (2983ds/121Mi)
% 15.99/2.83 % (3422609)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=696010811:i=141:doe=on:rtra=on_2984 on theBenchmark for (2984ds/141Mi)
% 15.99/2.83 % (3422613)Instruction limit reached!
% 15.99/2.83 % (3422613)------------------------------
% 15.99/2.83 % (3422613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422613)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422613)Termination reason: Instruction limit
% 18.89/3.18 % (3422613)Termination phase: Saturation
% 18.89/3.18 % (3422613)Time elapsed: 0.065 s
% 18.89/3.18 % (3422613)Peak memory usage: 116 MB
% 18.89/3.18 % (3422613)Instructions burned: 66 (million)
% 18.89/3.18 % (3422617)Instruction limit reached!
% 18.89/3.18 % (3422617)------------------------------
% 18.89/3.18 % (3422617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422617)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422617)Termination reason: Instruction limit
% 18.89/3.18 % (3422617)Termination phase: Saturation
% 18.89/3.18 % (3422617)Time elapsed: 0.080 s
% 18.89/3.18 % (3422617)Peak memory usage: 90 MB
% 18.89/3.18 % (3422617)Instructions burned: 122 (million)
% 18.89/3.18 % (3422608)Instruction limit reached!
% 18.89/3.18 % (3422608)------------------------------
% 18.89/3.18 % (3422608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422608)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422608)Termination reason: Instruction limit
% 18.89/3.18 % (3422608)Termination phase: Saturation
% 18.89/3.18 % (3422608)Time elapsed: 0.136 s
% 18.89/3.18 % (3422608)Peak memory usage: 94 MB
% 18.89/3.18 % (3422608)Instructions burned: 385 (million)
% 18.89/3.18 % (3422609)Instruction limit reached!
% 18.89/3.18 % (3422609)------------------------------
% 18.89/3.18 % (3422609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422609)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422609)Termination reason: Instruction limit
% 18.89/3.18 % (3422609)Termination phase: Saturation
% 18.89/3.18 % (3422609)Time elapsed: 0.093 s
% 18.89/3.18 % (3422609)Peak memory usage: 91 MB
% 18.89/3.18 % (3422609)Instructions burned: 142 (million)
% 18.89/3.18 % (3422598)Instruction limit reached!
% 18.89/3.18 % (3422598)------------------------------
% 18.89/3.18 % (3422598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422598)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422598)Termination reason: Instruction limit
% 18.89/3.18 % (3422598)Termination phase: Saturation
% 18.89/3.18 % (3422598)Time elapsed: 0.261 s
% 18.89/3.18 % (3422598)Peak memory usage: 117 MB
% 18.89/3.18 % (3422598)Instructions burned: 263 (million)
% 18.89/3.18 % (3422581)Instruction limit reached!
% 18.89/3.18 % (3422581)------------------------------
% 18.89/3.18 % (3422581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422581)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422581)Termination reason: Instruction limit
% 18.89/3.18 % (3422581)Termination phase: Saturation
% 18.89/3.18 % (3422581)Time elapsed: 0.527 s
% 18.89/3.18 % (3422581)Peak memory usage: 140 MB
% 18.89/3.18 % (3422581)Instructions burned: 599 (million)
% 18.89/3.18 % (3422631)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=4210464442:s2a=on:i=128:s2at=5:ins=3:rtra=on_2981 on theBenchmark for (2981ds/128Mi)
% 18.89/3.18 % (3422632)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=724394569:i=39:ins=3:rtra=on_2981 on theBenchmark for (2981ds/39Mi)
% 18.89/3.18 % (3422634)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4003865168:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/329Mi)
% 18.89/3.18 % (3422633)dis+1010_1_to=kbo:si=on:random_seed=2577131129:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2981 on theBenchmark for (2981ds/175Mi)
% 18.89/3.18 % (3422635)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=1854701125:s2a=on:i=483:doe=on:nm=32:rtra=on_2980 on theBenchmark for (2980ds/483Mi)
% 18.89/3.18 % (3422632)Instruction limit reached!
% 18.89/3.18 % (3422632)------------------------------
% 18.89/3.18 % (3422632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422632)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422632)Termination reason: Instruction limit
% 18.89/3.18 % (3422632)Termination phase: Saturation
% 18.89/3.18 % (3422632)Time elapsed: 0.049 s
% 18.89/3.18 % (3422632)Peak memory usage: 116 MB
% 18.89/3.18 % (3422632)Instructions burned: 39 (million)
% 18.89/3.18 % (3422631)Instruction limit reached!
% 18.89/3.18 % (3422631)------------------------------
% 18.89/3.18 % (3422631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422631)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422631)Termination reason: Instruction limit
% 18.89/3.18 % (3422631)Termination phase: Saturation
% 18.89/3.18 % (3422631)Time elapsed: 0.105 s
% 18.89/3.18 % (3422631)Peak memory usage: 118 MB
% 18.89/3.18 % (3422631)Instructions burned: 129 (million)
% 18.89/3.18 % (3422637)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=1330034838:thitd=on:i=215:nm=0:rtra=on:ev=force_2979 on theBenchmark for (2979ds/215Mi)
% 18.89/3.18 % (3422633)Instruction limit reached!
% 18.89/3.18 % (3422633)------------------------------
% 18.89/3.18 % (3422633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.18 % (3422633)CaDiCaL version: 2.1.3
% 18.89/3.18 % (3422633)Termination reason: Instruction limit
% 18.89/3.18 % (3422633)Termination phase: Saturation
% 18.89/3.18 % (3422633)Time elapsed: 0.179 s
% 18.89/3.18 % (3422633)Peak memory usage: 91 MB
% 18.89/3.18 % (3422633)Instructions burned: 175 (million)
% 18.89/3.18 % (3422643)lrs+1011_1_to=kbo:sil=128000:sas=z3:si=on:norm_ineq=on:sp=unary_frequency:tha=off:random_seed=361910661:i=349:rtra=on_2979 on theBenchmark for (2979ds/349Mi)
% 18.89/3.18 % (3422635)Instruction limit reached!
% 18.89/3.18 % (3422635)------------------------------
% 18.89/3.18 % (3422635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.18 % (3422635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422635)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422635)Termination reason: Instruction limit
% 18.89/3.19 % (3422635)Termination phase: Saturation
% 18.89/3.19 % (3422635)Time elapsed: 0.187 s
% 18.89/3.19 % (3422635)Peak memory usage: 137 MB
% 18.89/3.19 % (3422635)Instructions burned: 483 (million)
% 18.89/3.19 % (3422644)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=3007666337:st=2:i=295:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/295Mi)
% 18.89/3.19 % (3422634)Instruction limit reached!
% 18.89/3.19 % (3422634)------------------------------
% 18.89/3.19 % (3422634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.19 % (3422634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422634)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422634)Termination reason: Instruction limit
% 18.89/3.19 % (3422634)Termination phase: Saturation
% 18.89/3.19 % (3422634)Time elapsed: 0.260 s
% 18.89/3.19 % (3422634)Peak memory usage: 120 MB
% 18.89/3.19 % (3422634)Instructions burned: 329 (million)
% 18.89/3.19 % (3422637)Instruction limit reached!
% 18.89/3.19 % (3422637)------------------------------
% 18.89/3.19 % (3422637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.19 % (3422637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422637)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422637)Termination reason: Instruction limit
% 18.89/3.19 % (3422637)Termination phase: Saturation
% 18.89/3.19 % (3422637)Time elapsed: 0.164 s
% 18.89/3.19 % (3422637)Peak memory usage: 136 MB
% 18.89/3.19 % (3422637)Instructions burned: 216 (million)
% 18.89/3.19 % (3422663)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:nwc=5:br=off:random_seed=796429535:i=328:kws=inv_frequency:nm=20:rtra=on_2977 on theBenchmark for (2977ds/328Mi)
% 18.89/3.19 % (3422679)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=226388749:i=281:gtgl=2:rtra=on:gtg=all_2977 on theBenchmark for (2977ds/281Mi)
% 18.89/3.19 % (3422604)Instruction limit reached!
% 18.89/3.19 % (3422604)------------------------------
% 18.89/3.19 % (3422604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.19 % (3422604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422604)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422604)Termination reason: Instruction limit
% 18.89/3.19 % (3422604)Termination phase: Saturation
% 18.89/3.19 % (3422604)Time elapsed: 0.629 s
% 18.89/3.19 % (3422604)Peak memory usage: 95 MB
% 18.89/3.19 % (3422604)Instructions burned: 1000 (million)
% 18.89/3.19 % (3422644)Instruction limit reached!
% 18.89/3.19 % (3422644)------------------------------
% 18.89/3.19 % (3422644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.19 % (3422644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422644)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422644)Termination reason: Instruction limit
% 18.89/3.19 % (3422644)Termination phase: Saturation
% 18.89/3.19 % (3422644)Time elapsed: 0.174 s
% 18.89/3.19 % (3422644)Peak memory usage: 91 MB
% 18.89/3.19 % (3422644)Instructions burned: 296 (million)
% 18.89/3.19 % (3422643)First to succeed.
% 18.89/3.19 % (3422700)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=2123110312:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/484Mi)
% 18.89/3.19 % (3422643)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3422342"
% 18.89/3.19 % (3422712)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=4203613570:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_2976 on theBenchmark for (2976ds/321Mi)
% 18.89/3.19 % (3422679)Instruction limit reached!
% 18.89/3.19 % (3422679)------------------------------
% 18.89/3.19 % (3422679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.19 % (3422679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422679)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422679)Termination reason: Instruction limit
% 18.89/3.19 % (3422679)Termination phase: Saturation
% 18.89/3.19 % (3422679)Time elapsed: 0.113 s
% 18.89/3.19 % (3422679)Peak memory usage: 118 MB
% 18.89/3.19 % (3422679)Instructions burned: 282 (million)
% 18.89/3.19 % (3422729)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=519932739:i=416:rtra=on:gtg=position:ss=axioms_2976 on theBenchmark for (2976ds/416Mi)
% 18.89/3.19 % (3422663)Instruction limit reached!
% 18.89/3.19 % (3422663)------------------------------
% 18.89/3.19 % (3422663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.19 % (3422663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422663)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422663)Termination reason: Instruction limit
% 18.89/3.19 % (3422663)Termination phase: Saturation
% 18.89/3.19 % (3422663)Time elapsed: 0.225 s
% 18.89/3.19 % (3422663)Peak memory usage: 118 MB
% 18.89/3.19 % (3422663)Instructions burned: 329 (million)
% 18.89/3.19 % (3422758)lrs+1010_1_to=kbo:tgt=ground:fde=unused:sas=z3:si=on:sp=unary_frequency:gve=force:spb=goal:tha=off:random_seed=3787463997:i=471:thf=on:kws=precedence:rtra=on_2975 on theBenchmark for (2975ds/471Mi)
% 18.89/3.19 % (3422763)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=4172766067:avsq=on:i=276:avsqr=1,2:rtra=on_2975 on theBenchmark for (2975ds/276Mi)
% 18.89/3.19 % (3422712)Instruction limit reached!
% 18.89/3.19 % (3422712)------------------------------
% 18.89/3.19 % (3422712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.19 % (3422712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.19 % (3422712)CaDiCaL version: 2.1.3
% 18.89/3.19 % (3422712)Termination reason: Instruction limit
% 18.89/3.19 % (3422712)Termination phase: Saturation
% 18.89/3.19 % (3422712)Time elapsed: 0.159 s
% 18.89/3.19 % (3422712)Peak memory usage: 114 MB
% 18.89/3.19 % (3422712)Instructions burned: 322 (million)
% 18.89/3.19 % (3422643)Refutation found. Thanks to Tanya!
% 18.89/3.19 % SZS status Theorem for theBenchmark
% 18.89/3.19 % SZS output start Proof for theBenchmark
% See solution above
% 19.39/3.28 % (3422643)------------------------------
% 19.39/3.28 % (3422643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.39/3.28 % (3422643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.39/3.28 % (3422643)CaDiCaL version: 2.1.3
% 19.39/3.28 % (3422643)Termination reason: Refutation
% 19.39/3.28 % (3422643)Time elapsed: 0.231 s
% 19.39/3.28 % (3422643)Peak memory usage: 120 MB
% 19.39/3.28 % (3422643)Instructions burned: 311 (million)
% 19.39/3.28 % (3422643)------------------------------
% 19.39/3.28 % (3422643)------------------------------
% 19.39/3.28 % (3422342)Success in time 2.725 s
% 19.39/3.28 % Vampire exiting
%------------------------------------------------------------------------------