%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW658_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 : n004.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 01:31:04 PM UTC 2026
% Result : Theorem 17.15s 3.42s
% Output : Refutation 19.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 26
% Syntax : Number of formulae : 188 ( 31 unt; 0 typ; 15 def)
% Number of atoms : 1264 ( 159 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 1498 ( 422 ~; 855 |; 158 &)
% ( 25 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 1540 ( 663 atm; 430 fun; 224 num; 223 var)
% Number of types : 8 ( 6 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 19 usr; 16 prp; 0-4 aty)
% Number of functors : 39 ( 36 usr; 15 con; 0-5 aty)
% Number of variables : 295 ( 273 !; 22 ?; 295 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
array_int: $tType ).
tff(type_def_10,type,
map_int_int: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_15,type,
map: ( ty * ty ) > ty ).
tff(func_def_16,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_17,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_18,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_19,type,
array: ty > ty ).
tff(func_def_20,type,
mk_array1: ( ty * $int * uni ) > uni ).
tff(func_def_21,type,
length1: ( ty * uni ) > $int ).
tff(func_def_22,type,
elts: ( ty * uni ) > uni ).
tff(func_def_23,type,
get2: ( ty * uni * $int ) > uni ).
tff(func_def_24,type,
t2tb: $int > uni ).
tff(func_def_25,type,
tb2t: uni > $int ).
tff(func_def_26,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(func_def_27,type,
make1: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
t2tb1: array_int > uni ).
tff(func_def_29,type,
tb2t1: uni > array_int ).
tff(func_def_32,type,
t2tb2: map_int_int > uni ).
tff(func_def_33,type,
tb2t2: uni > map_int_int ).
tff(func_def_35,type,
sK0: ( array_int * $int * $int * $int ) > $int ).
tff(func_def_36,type,
sK1: $int ).
tff(func_def_37,type,
sK2: $int ).
tff(func_def_38,type,
sK3: map_int_int ).
tff(func_def_39,type,
sK4: $int ).
tff(func_def_40,type,
sK5: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
is_common_prefix1: ( array_int * $int * $int * $int ) > $o ).
tff(pred_def_5,type,
is_longest_common_prefix1: ( array_int * $int * $int * $int ) > $o ).
tff(pred_def_6,type,
lt1: ( array_int * $int * $int ) > $o ).
tff(f20,axiom,
! [X2: uni,X1: $int,X0: ty] : ( length1(X0,mk_array1(X0,X1,X2)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def3) ).
tff(f22,axiom,
! [X1: $int,X2: uni,X0: ty] :
( sort1(map(int,X0),X2)
=> ( elts(X0,mk_array1(X0,X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',elts_def3) ).
tff(f28,axiom,
! [X0: ty,X2: $int,X1: uni] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',get_def) ).
tff(f35,axiom,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f36,axiom,
! [X0: array_int,X3: $int,X1: $int,X2: $int] :
( is_common_prefix1(X0,X1,X2,X3)
<=> ( ! [X4: $int] :
( ( $less(X4,X3)
& $lesseq(0,X4) )
=> ( tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) ) )
& $lesseq($sum(X1,X3),length1(int,t2tb1(X0)))
& $lesseq(0,X3)
& $lesseq($sum(X2,X3),length1(int,t2tb1(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_common_prefix_def) ).
tff(f38,axiom,
! [X1: $int,X2: $int,X0: array_int,X3: $int] :
( is_longest_common_prefix1(X0,X1,X2,X3)
<=> ( ! [X4: $int] :
( $less(X3,X4)
=> ~ is_common_prefix1(X0,X1,X2,X4) )
& is_common_prefix1(X0,X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_longest_common_prefix_def) ).
tff(f40,axiom,
! [X2: $int,X1: $int,X0: array_int] :
( lt1(X0,X1,X2)
<=> ( $lesseq(0,X2)
& $lesseq(X1,length1(int,t2tb1(X0)))
& $lesseq(0,X1)
& $lesseq(X2,length1(int,t2tb1(X0)))
& ? [X3: $int] :
( $less($sum(X2,X3),length1(int,t2tb1(X0)))
& is_common_prefix1(X0,X1,X2,X3)
& ( $less(tb2t(get2(int,t2tb1(X0),$sum(X1,X3))),tb2t(get2(int,t2tb1(X0),$sum(X2,X3))))
| ( $sum(X1,X3) = length1(int,t2tb1(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lt_def) ).
tff(f41,axiom,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort4) ).
tff(f44,conjecture,
! [X3: $int,X2: $int,X0: $int,X1: map_int_int] :
( ( $lesseq(0,X0)
& $lesseq(X3,X0)
& $lesseq(X2,X0)
& $lesseq(0,X3)
& $lesseq(0,X2) )
=> ( ( X2 != X3 )
=> ( ( $lesseq(0,X3)
& $lesseq(0,X2)
& $lesseq(X2,X0)
& $lesseq(X3,X0) )
=> ! [X4: $int] :
( is_longest_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4)
=> ( ( $sum(X2,X4) != X0 )
=> ( ( $sum(X3,X4) = X0 )
=> ( $less(0,1)
=> lt1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_compare) ).
tff(f45,negated_conjecture,
~ ! [X3: $int,X2: $int,X0: $int,X1: map_int_int] :
( ( $lesseq(0,X0)
& $lesseq(X3,X0)
& $lesseq(X2,X0)
& $lesseq(0,X3)
& $lesseq(0,X2) )
=> ( ( X2 != X3 )
=> ( ( $lesseq(0,X3)
& $lesseq(0,X2)
& $lesseq(X2,X0)
& $lesseq(X3,X0) )
=> ! [X4: $int] :
( is_longest_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4)
=> ( ( $sum(X2,X4) != X0 )
=> ( ( $sum(X3,X4) = X0 )
=> ( $less(0,1)
=> lt1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
tff(f46,plain,
! [X0: array_int,X3: $int,X1: $int,X2: $int] :
( is_common_prefix1(X0,X1,X2,X3)
<=> ( ! [X4: $int] :
( ( $less(X4,X3)
& ~ $less(X4,0) )
=> ( tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) ) )
& ~ $less(length1(int,t2tb1(X0)),$sum(X1,X3))
& ~ $less(X3,0)
& ~ $less(length1(int,t2tb1(X0)),$sum(X2,X3)) ) ),
inference(theory_normalization,[],[f36]) ).
tff(f47,plain,
! [X2: $int,X1: $int,X0: array_int] :
( lt1(X0,X1,X2)
<=> ( ~ $less(X2,0)
& ~ $less(length1(int,t2tb1(X0)),X1)
& ~ $less(X1,0)
& ~ $less(length1(int,t2tb1(X0)),X2)
& ? [X3: $int] :
( $less($sum(X2,X3),length1(int,t2tb1(X0)))
& is_common_prefix1(X0,X1,X2,X3)
& ( $less(tb2t(get2(int,t2tb1(X0),$sum(X1,X3))),tb2t(get2(int,t2tb1(X0),$sum(X2,X3))))
| ( $sum(X1,X3) = length1(int,t2tb1(X0)) ) ) ) ) ),
inference(theory_normalization,[],[f40]) ).
tff(f48,plain,
~ ! [X3: $int,X2: $int,X0: $int,X1: map_int_int] :
( ( ~ $less(X0,0)
& ~ $less(X0,X3)
& ~ $less(X0,X2)
& ~ $less(X3,0)
& ~ $less(X2,0) )
=> ( ( X2 != X3 )
=> ( ( ~ $less(X3,0)
& ~ $less(X2,0)
& ~ $less(X0,X2)
& ~ $less(X0,X3) )
=> ! [X4: $int] :
( is_longest_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4)
=> ( ( $sum(X2,X4) != X0 )
=> ( ( $sum(X3,X4) = X0 )
=> ( $less(0,1)
=> lt1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X3,X2) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f45]) ).
tff(f56,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f57,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f69,plain,
~ ! [X0: $int,X2: $int,X1: $int,X3: map_int_int] :
( ( ~ $less(X0,0)
& ~ $less(X2,X1)
& ~ $less(X1,0)
& ~ $less(X2,0)
& ~ $less(X2,X0) )
=> ( ( X0 != X1 )
=> ( ( ~ $less(X1,0)
& ~ $less(X2,X0)
& ~ $less(X0,0)
& ~ $less(X2,X1) )
=> ! [X4: $int] :
( is_longest_common_prefix1(tb2t1(mk_array1(int,X2,t2tb2(X3))),X1,X0,X4)
=> ( ( $sum(X1,X4) != X2 )
=> ( ( $sum(X0,X4) = X2 )
=> ( $less(0,1)
=> lt1(tb2t1(mk_array1(int,X2,t2tb2(X3))),X0,X1) ) ) ) ) ) ) ),
inference(rectify,[],[f48]) ).
tff(f70,plain,
! [X3: $int,X1: $int,X0: $int,X2: array_int] :
( is_longest_common_prefix1(X2,X0,X1,X3)
<=> ( ! [X4: $int] :
( $less(X3,X4)
=> ~ is_common_prefix1(X2,X0,X1,X4) )
& is_common_prefix1(X2,X0,X1,X3) ) ),
inference(rectify,[],[f38]) ).
tff(f72,plain,
! [X0: $int,X2: array_int,X1: $int] :
( ( ~ $less(length1(int,t2tb1(X2)),X1)
& ~ $less(X1,0)
& ? [X3: $int] :
( $less($sum(X0,X3),length1(int,t2tb1(X2)))
& ( $less(tb2t(get2(int,t2tb1(X2),$sum(X1,X3))),tb2t(get2(int,t2tb1(X2),$sum(X0,X3))))
| ( $sum(X1,X3) = length1(int,t2tb1(X2)) ) )
& is_common_prefix1(X2,X1,X0,X3) )
& ~ $less(X0,0)
& ~ $less(length1(int,t2tb1(X2)),X0) )
<=> lt1(X2,X1,X0) ),
inference(rectify,[],[f47]) ).
tff(f73,plain,
! [X1: $int,X3: $int,X0: array_int,X2: $int] :
( is_common_prefix1(X0,X2,X3,X1)
<=> ( ! [X4: $int] :
( ( ~ $less(X4,0)
& $less(X4,X1) )
=> ( tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X3,X4))) ) )
& ~ $less(length1(int,t2tb1(X0)),$sum(X2,X1))
& ~ $less(length1(int,t2tb1(X0)),$sum(X3,X1))
& ~ $less(X1,0) ) ),
inference(rectify,[],[f46]) ).
tff(f75,plain,
! [X1: $int,X2: ty,X0: uni] : ( length1(X2,mk_array1(X2,X1,X0)) = X1 ),
inference(rectify,[],[f20]) ).
tff(f76,plain,
! [X1: $int,X0: ty,X2: uni] : ( get2(X0,X2,X1) = get(X0,int,elts(X0,X2),t2tb(X1)) ),
inference(rectify,[],[f28]) ).
tff(f79,plain,
! [X0: $int,X2: ty,X1: uni] :
( sort1(map(int,X2),X1)
=> ( elts(X2,mk_array1(X2,X0,X1)) = X1 ) ),
inference(rectify,[],[f22]) ).
tff(f81,plain,
! [X0: $int,X2: array_int,X1: $int] :
( ( ~ $less(length1(int,t2tb1(X2)),X1)
& ~ $less(X1,0)
& ? [X3: $int] :
( $less($sum(X0,X3),length1(int,t2tb1(X2)))
& ( $less(tb2t(get2(int,t2tb1(X2),$sum(X1,X3))),tb2t(get2(int,t2tb1(X2),$sum(X0,X3))))
| ( $sum(X1,X3) = length1(int,t2tb1(X2)) ) )
& is_common_prefix1(X2,X1,X0,X3) )
& ~ $less(X0,0)
& ~ $less(length1(int,t2tb1(X2)),X0) )
=> lt1(X2,X1,X0) ),
inference(unused_predicate_definition_removal,[],[f72]) ).
tff(f82,plain,
! [X3: $int,X1: $int,X0: $int,X2: array_int] :
( is_longest_common_prefix1(X2,X0,X1,X3)
=> ( ! [X4: $int] :
( $less(X3,X4)
=> ~ is_common_prefix1(X2,X0,X1,X4) )
& is_common_prefix1(X2,X0,X1,X3) ) ),
inference(unused_predicate_definition_removal,[],[f70]) ).
tff(f83,plain,
! [X1: uni,X2: ty,X0: $int] :
( ( elts(X2,mk_array1(X2,X0,X1)) = X1 )
| ~ sort1(map(int,X2),X1) ),
inference(ennf_transformation,[],[f79]) ).
tff(f86,plain,
? [X0: $int,X2: $int,X1: $int,X3: map_int_int] :
( ? [X4: $int] :
( ~ lt1(tb2t1(mk_array1(int,X2,t2tb2(X3))),X0,X1)
& $less(0,1)
& ( $sum(X0,X4) = X2 )
& ( $sum(X1,X4) != X2 )
& is_longest_common_prefix1(tb2t1(mk_array1(int,X2,t2tb2(X3))),X1,X0,X4) )
& ~ $less(X1,0)
& ~ $less(X2,X0)
& ~ $less(X0,0)
& ~ $less(X2,X1)
& ( X0 != X1 )
& ~ $less(X0,0)
& ~ $less(X2,X1)
& ~ $less(X1,0)
& ~ $less(X2,0)
& ~ $less(X2,X0) ),
inference(ennf_transformation,[],[f69]) ).
tff(f87,plain,
? [X1: $int,X2: $int,X3: map_int_int,X0: $int] :
( ~ $less(X0,0)
& ~ $less(X2,X1)
& ~ $less(X2,X0)
& ? [X4: $int] :
( ( $sum(X0,X4) = X2 )
& ( $sum(X1,X4) != X2 )
& ~ lt1(tb2t1(mk_array1(int,X2,t2tb2(X3))),X0,X1)
& is_longest_common_prefix1(tb2t1(mk_array1(int,X2,t2tb2(X3))),X1,X0,X4)
& $less(0,1) )
& ~ $less(X2,X1)
& ~ $less(X2,X0)
& ( X0 != X1 )
& ~ $less(X0,0)
& ~ $less(X1,0)
& ~ $less(X2,0)
& ~ $less(X1,0) ),
inference(flattening,[],[f86]) ).
tff(f88,plain,
! [X3: $int,X1: $int,X0: $int,X2: array_int] :
( ~ is_longest_common_prefix1(X2,X0,X1,X3)
| ( is_common_prefix1(X2,X0,X1,X3)
& ! [X4: $int] :
( ~ is_common_prefix1(X2,X0,X1,X4)
| ~ $less(X3,X4) ) ) ),
inference(ennf_transformation,[],[f82]) ).
tff(f91,plain,
! [X0: $int,X2: array_int,X1: $int] :
( lt1(X2,X1,X0)
| $less(length1(int,t2tb1(X2)),X1)
| $less(X1,0)
| ! [X3: $int] :
( ~ is_common_prefix1(X2,X1,X0,X3)
| ~ $less($sum(X0,X3),length1(int,t2tb1(X2)))
| ( ~ $less(tb2t(get2(int,t2tb1(X2),$sum(X1,X3))),tb2t(get2(int,t2tb1(X2),$sum(X0,X3))))
& ( $sum(X1,X3) != length1(int,t2tb1(X2)) ) ) )
| $less(X0,0)
| $less(length1(int,t2tb1(X2)),X0) ),
inference(ennf_transformation,[],[f81]) ).
tff(f92,plain,
! [X1: $int,X2: array_int,X0: $int] :
( ! [X3: $int] :
( ~ is_common_prefix1(X2,X1,X0,X3)
| ~ $less($sum(X0,X3),length1(int,t2tb1(X2)))
| ( ~ $less(tb2t(get2(int,t2tb1(X2),$sum(X1,X3))),tb2t(get2(int,t2tb1(X2),$sum(X0,X3))))
& ( $sum(X1,X3) != length1(int,t2tb1(X2)) ) ) )
| $less(X0,0)
| $less(length1(int,t2tb1(X2)),X0)
| $less(X1,0)
| lt1(X2,X1,X0)
| $less(length1(int,t2tb1(X2)),X1) ),
inference(flattening,[],[f91]) ).
tff(f93,plain,
! [X1: $int,X3: $int,X0: array_int,X2: $int] :
( is_common_prefix1(X0,X2,X3,X1)
<=> ( ! [X4: $int] :
( ( tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X3,X4))) )
| $less(X4,0)
| ~ $less(X4,X1) )
& ~ $less(length1(int,t2tb1(X0)),$sum(X2,X1))
& ~ $less(length1(int,t2tb1(X0)),$sum(X3,X1))
& ~ $less(X1,0) ) ),
inference(ennf_transformation,[],[f73]) ).
tff(f94,plain,
! [X0: array_int,X2: $int,X3: $int,X1: $int] :
( is_common_prefix1(X0,X2,X3,X1)
<=> ( ~ $less(length1(int,t2tb1(X0)),$sum(X2,X1))
& ~ $less(X1,0)
& ~ $less(length1(int,t2tb1(X0)),$sum(X3,X1))
& ! [X4: $int] :
( ~ $less(X4,X1)
| $less(X4,0)
| ( tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X3,X4))) ) ) ) ),
inference(flattening,[],[f93]) ).
tff(f95,plain,
! [X0: uni,X1: ty,X2: $int] :
( ( elts(X1,mk_array1(X1,X2,X0)) = X0 )
| ~ sort1(map(int,X1),X0) ),
inference(rectify,[],[f83]) ).
tff(f96,plain,
! [X0: $int,X1: array_int,X2: $int] :
( ! [X3: $int] :
( ~ is_common_prefix1(X1,X0,X2,X3)
| ~ $less($sum(X2,X3),length1(int,t2tb1(X1)))
| ( ~ $less(tb2t(get2(int,t2tb1(X1),$sum(X0,X3))),tb2t(get2(int,t2tb1(X1),$sum(X2,X3))))
& ( $sum(X0,X3) != length1(int,t2tb1(X1)) ) ) )
| $less(X2,0)
| $less(length1(int,t2tb1(X1)),X2)
| $less(X0,0)
| lt1(X1,X0,X2)
| $less(length1(int,t2tb1(X1)),X0) ),
inference(rectify,[],[f92]) ).
tff(f99,plain,
! [X0: array_int,X2: $int,X3: $int,X1: $int] :
( ( is_common_prefix1(X0,X2,X3,X1)
| $less(length1(int,t2tb1(X0)),$sum(X2,X1))
| $less(X1,0)
| $less(length1(int,t2tb1(X0)),$sum(X3,X1))
| ? [X4: $int] :
( $less(X4,X1)
& ~ $less(X4,0)
& ( tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X3,X4))) ) ) )
& ( ( ~ $less(length1(int,t2tb1(X0)),$sum(X2,X1))
& ~ $less(X1,0)
& ~ $less(length1(int,t2tb1(X0)),$sum(X3,X1))
& ! [X4: $int] :
( ~ $less(X4,X1)
| $less(X4,0)
| ( tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X3,X4))) ) ) )
| ~ is_common_prefix1(X0,X2,X3,X1) ) ),
inference(nnf_transformation,[],[f94]) ).
tff(f100,plain,
! [X0: array_int,X2: $int,X3: $int,X1: $int] :
( ( is_common_prefix1(X0,X2,X3,X1)
| $less(length1(int,t2tb1(X0)),$sum(X2,X1))
| $less(X1,0)
| $less(length1(int,t2tb1(X0)),$sum(X3,X1))
| ? [X4: $int] :
( $less(X4,X1)
& ~ $less(X4,0)
& ( tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X3,X4))) ) ) )
& ( ( ~ $less(length1(int,t2tb1(X0)),$sum(X2,X1))
& ~ $less(X1,0)
& ~ $less(length1(int,t2tb1(X0)),$sum(X3,X1))
& ! [X4: $int] :
( ~ $less(X4,X1)
| $less(X4,0)
| ( tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X3,X4))) ) ) )
| ~ is_common_prefix1(X0,X2,X3,X1) ) ),
inference(flattening,[],[f99]) ).
tff(f101,plain,
! [X0: array_int,X1: $int,X2: $int,X3: $int] :
( ( is_common_prefix1(X0,X1,X2,X3)
| $less(length1(int,t2tb1(X0)),$sum(X1,X3))
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X2,X3))
| ? [X4: $int] :
( $less(X4,X3)
& ~ $less(X4,0)
& ( tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) ) ) )
& ( ( ~ $less(length1(int,t2tb1(X0)),$sum(X1,X3))
& ~ $less(X3,0)
& ~ $less(length1(int,t2tb1(X0)),$sum(X2,X3))
& ! [X5: $int] :
( ~ $less(X5,X3)
| $less(X5,0)
| ( tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) ) ) )
| ~ is_common_prefix1(X0,X1,X2,X3) ) ),
inference(rectify,[],[f100]) ).
tff(f102,plain,
! [X0: array_int,X1: $int,X2: $int,X3: $int] :
( ( is_common_prefix1(X0,X1,X2,X3)
| $less(length1(int,t2tb1(X0)),$sum(X1,X3))
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X2,X3))
| ( $less(sK0(X0,X1,X2,X3),X3)
& ~ $less(sK0(X0,X1,X2,X3),0)
& ( tb2t(get2(int,t2tb1(X0),$sum(X2,sK0(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X1,sK0(X0,X1,X2,X3)))) ) ) )
& ( ( ~ $less(length1(int,t2tb1(X0)),$sum(X1,X3))
& ~ $less(X3,0)
& ~ $less(length1(int,t2tb1(X0)),$sum(X2,X3))
& ! [X5: $int] :
( ~ $less(X5,X3)
| $less(X5,0)
| ( tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) ) ) )
| ~ is_common_prefix1(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2,X3))],[f101]) ).
tff(f104,plain,
! [X0: $int,X1: ty,X2: uni] : ( length1(X1,mk_array1(X1,X0,X2)) = X0 ),
inference(rectify,[],[f75]) ).
tff(f106,plain,
! [X0: $int,X1: $int,X2: $int,X3: array_int] :
( ~ is_longest_common_prefix1(X3,X2,X1,X0)
| ( is_common_prefix1(X3,X2,X1,X0)
& ! [X4: $int] :
( ~ is_common_prefix1(X3,X2,X1,X4)
| ~ $less(X0,X4) ) ) ),
inference(rectify,[],[f88]) ).
tff(f107,plain,
? [X0: $int,X1: $int,X2: map_int_int,X3: $int] :
( ~ $less(X3,0)
& ~ $less(X1,X0)
& ~ $less(X1,X3)
& ? [X4: $int] :
( ( $sum(X3,X4) = X1 )
& ( $sum(X0,X4) != X1 )
& ~ lt1(tb2t1(mk_array1(int,X1,t2tb2(X2))),X3,X0)
& is_longest_common_prefix1(tb2t1(mk_array1(int,X1,t2tb2(X2))),X0,X3,X4)
& $less(0,1) )
& ~ $less(X1,X0)
& ~ $less(X1,X3)
& ( X0 != X3 )
& ~ $less(X3,0)
& ~ $less(X0,0)
& ~ $less(X1,0)
& ~ $less(X0,0) ),
inference(rectify,[],[f87]) ).
tff(f108,plain,
( ~ $less(sK4,0)
& ~ $less(sK2,sK1)
& ~ $less(sK2,sK4)
& ( $sum(sK4,sK5) = sK2 )
& ( sK2 != $sum(sK1,sK5) )
& ~ lt1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1)
& is_longest_common_prefix1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK1,sK4,sK5)
& $less(0,1)
& ~ $less(sK2,sK1)
& ~ $less(sK2,sK4)
& ( sK4 != sK1 )
& ~ $less(sK4,0)
& ~ $less(sK1,0)
& ~ $less(sK2,0)
& ~ $less(sK1,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f107]) ).
tff(f110,plain,
! [X0: $int,X1: ty,X2: uni] : ( get(X1,int,elts(X1,X2),t2tb(X0)) = get2(X1,X2,X0) ),
inference(rectify,[],[f76]) ).
tff(f111,plain,
! [X2: $int,X0: uni,X1: ty] :
( ~ sort1(map(int,X1),X0)
| ( elts(X1,mk_array1(X1,X2,X0)) = X0 ) ),
inference(cnf_transformation,[],[f95]) ).
tff(f112,plain,
! [X2: $int,X3: $int,X0: $int,X1: array_int] :
( ~ is_common_prefix1(X1,X0,X2,X3)
| $less(length1(int,t2tb1(X1)),X2)
| ~ $less($sum(X2,X3),length1(int,t2tb1(X1)))
| $less(X0,0)
| ( $sum(X0,X3) != length1(int,t2tb1(X1)) )
| $less(X2,0)
| lt1(X1,X0,X2)
| $less(length1(int,t2tb1(X1)),X0) ),
inference(cnf_transformation,[],[f96]) ).
tff(f116,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int,X5: $int] :
( ~ $less(X5,X3)
| $less(X5,0)
| ( tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) )
| ~ is_common_prefix1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f102]) ).
tff(f118,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( ~ is_common_prefix1(X0,X1,X2,X3)
| ~ $less(X3,0) ),
inference(cnf_transformation,[],[f102]) ).
tff(f119,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( ~ is_common_prefix1(X0,X1,X2,X3)
| ~ $less(length1(int,t2tb1(X0)),$sum(X1,X3)) ),
inference(cnf_transformation,[],[f102]) ).
tff(f120,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( is_common_prefix1(X0,X1,X2,X3)
| $less(length1(int,t2tb1(X0)),$sum(X1,X3))
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X2,X3))
| ( tb2t(get2(int,t2tb1(X0),$sum(X2,sK0(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X1,sK0(X0,X1,X2,X3)))) ) ),
inference(cnf_transformation,[],[f102]) ).
tff(f121,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( is_common_prefix1(X0,X1,X2,X3)
| $less(length1(int,t2tb1(X0)),$sum(X2,X3))
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X1,X3))
| ~ $less(sK0(X0,X1,X2,X3),0) ),
inference(cnf_transformation,[],[f102]) ).
tff(f122,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( is_common_prefix1(X0,X1,X2,X3)
| $less(sK0(X0,X1,X2,X3),X3)
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X2,X3))
| $less(length1(int,t2tb1(X0)),$sum(X1,X3)) ),
inference(cnf_transformation,[],[f102]) ).
tff(f124,plain,
! [X2: uni,X0: $int,X1: ty] : ( length1(X1,mk_array1(X1,X0,X2)) = X0 ),
inference(cnf_transformation,[],[f104]) ).
tff(f127,plain,
! [X2: $int,X3: array_int,X0: $int,X1: $int] :
( ~ is_longest_common_prefix1(X3,X2,X1,X0)
| is_common_prefix1(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f106]) ).
tff(f130,plain,
! [X0: map_int_int] : sort1(map(int,int),t2tb2(X0)),
inference(cnf_transformation,[],[f41]) ).
tff(f132,plain,
~ $less(sK1,0),
inference(cnf_transformation,[],[f108]) ).
tff(f140,plain,
is_longest_common_prefix1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK1,sK4,sK5),
inference(cnf_transformation,[],[f108]) ).
tff(f141,plain,
~ lt1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1),
inference(cnf_transformation,[],[f108]) ).
tff(f142,plain,
sK2 != $sum(sK1,sK5),
inference(cnf_transformation,[],[f108]) ).
tff(f143,plain,
$sum(sK4,sK5) = sK2,
inference(cnf_transformation,[],[f108]) ).
tff(f144,plain,
~ $less(sK2,sK4),
inference(cnf_transformation,[],[f108]) ).
tff(f145,plain,
~ $less(sK2,sK1),
inference(cnf_transformation,[],[f108]) ).
tff(f146,plain,
~ $less(sK4,0),
inference(cnf_transformation,[],[f108]) ).
tff(f148,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f35]) ).
tff(f149,plain,
! [X2: uni,X0: $int,X1: ty] : ( get(X1,int,elts(X1,X2),t2tb(X0)) = get2(X1,X2,X0) ),
inference(cnf_transformation,[],[f110]) ).
tff(f153,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( is_common_prefix1(X0,X1,X2,X3)
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X1,X3))
| ( tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK0(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK0(X0,X1,X2,X3))))) )
| $less(length1(int,t2tb1(X0)),$sum(X2,X3)) ),
inference(definition_unfolding,[],[f120,f149,f149]) ).
tff(f154,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int,X5: $int] :
( ~ is_common_prefix1(X0,X1,X2,X3)
| ~ $less(X5,X3)
| $less(X5,0)
| ( tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X5)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X5)))) ) ),
inference(definition_unfolding,[],[f116,f149,f149]) ).
tff(f158,definition,
( spl6_1
<=> $less(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
tff(f160,plain,
( ~ $less(sK2,sK1)
| spl6_1 ),
inference(avatar_component_clause,[],[f158]) ).
tff(f161,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f145,f158]) ).
tff(f163,definition,
( spl6_2
<=> is_longest_common_prefix1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
tff(f165,plain,
( is_longest_common_prefix1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK1,sK4,sK5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f163]) ).
tff(f166,plain,
spl6_2,
inference(avatar_split_clause,[],[f140,f163]) ).
tff(f168,definition,
( spl6_3
<=> $less(sK4,0) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
tff(f170,plain,
( ~ $less(sK4,0)
| spl6_3 ),
inference(avatar_component_clause,[],[f168]) ).
tff(f171,plain,
~ spl6_3,
inference(avatar_split_clause,[],[f146,f168]) ).
tff(f173,definition,
( spl6_4
<=> lt1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
tff(f175,plain,
( ~ lt1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1)
| spl6_4 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f176,plain,
~ spl6_4,
inference(avatar_split_clause,[],[f141,f173]) ).
tff(f178,definition,
( spl6_5
<=> $less(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
tff(f180,plain,
( ~ $less(sK2,sK4)
| spl6_5 ),
inference(avatar_component_clause,[],[f178]) ).
tff(f181,plain,
~ spl6_5,
inference(avatar_split_clause,[],[f144,f178]) ).
tff(f183,definition,
( spl6_6
<=> $less(sK1,0) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
tff(f185,plain,
( ~ $less(sK1,0)
| spl6_6 ),
inference(avatar_component_clause,[],[f183]) ).
tff(f186,plain,
~ spl6_6,
inference(avatar_split_clause,[],[f132,f183]) ).
tff(f188,definition,
( spl6_7
<=> ( $sum(sK4,sK5) = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
tff(f190,plain,
( ( $sum(sK4,sK5) = sK2 )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f188]) ).
tff(f191,plain,
spl6_7,
inference(avatar_split_clause,[],[f143,f188]) ).
tff(f193,definition,
( spl6_8
<=> ( sK2 = $sum(sK1,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
tff(f196,plain,
~ spl6_8,
inference(avatar_split_clause,[],[f142,f193]) ).
tff(f274,plain,
( is_common_prefix1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK1,sK4,sK5)
| ~ spl6_2 ),
inference(resolution,[],[f127,f165]) ).
tff(f276,definition,
( spl6_17
<=> is_common_prefix1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
tff(f278,plain,
( is_common_prefix1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK1,sK4,sK5)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f276]) ).
tff(f279,plain,
( spl6_17
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f274,f163,f276]) ).
tff(f280,plain,
( ~ $less(sK5,0)
| ~ spl6_17 ),
inference(resolution,[],[f278,f118]) ).
tff(f282,definition,
( spl6_18
<=> $less(sK5,0) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
tff(f284,plain,
( ~ $less(sK5,0)
| spl6_18 ),
inference(avatar_component_clause,[],[f282]) ).
tff(f285,plain,
( ~ spl6_18
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f280,f276,f282]) ).
tff(f286,plain,
! [X0: $int,X1: map_int_int] : ( t2tb2(X1) = elts(int,mk_array1(int,X0,t2tb2(X1))) ),
inference(resolution,[],[f111,f130]) ).
tff(f310,plain,
( ~ $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,sK5))
| ~ spl6_17 ),
inference(resolution,[],[f119,f278]) ).
tff(f311,plain,
( ~ $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,sK5))
| ~ spl6_17 ),
inference(forward_demodulation,[],[f310,f148]) ).
tff(f312,plain,
( ~ $less(sK2,$sum(sK1,sK5))
| ~ spl6_17 ),
inference(forward_demodulation,[],[f311,f124]) ).
tff(f314,definition,
( spl6_21
<=> $less(sK2,$sum(sK1,sK5)) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
tff(f317,plain,
( ~ spl6_21
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f312,f276,f314]) ).
tff(f341,plain,
( ! [X0: $int] :
( ( tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK4,X0)))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK1,X0)))) )
| $less(X0,0)
| ~ $less(X0,sK5) )
| ~ spl6_17 ),
inference(resolution,[],[f154,f278]) ).
tff(f346,plain,
( ! [X0: $int] :
( ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,X0)))) = tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,X0)))) )
| $less(X0,0)
| ~ $less(X0,sK5) )
| ~ spl6_17 ),
inference(forward_demodulation,[],[f341,f148]) ).
tff(f361,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( lt1(X0,X3,X1)
| ( length1(int,t2tb1(X0)) != $sum(X3,X2) )
| $less(X1,0)
| $less(length1(int,t2tb1(X0)),X3)
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X3,X2))
| $less(length1(int,t2tb1(X0)),$sum(X1,X2))
| $less(length1(int,t2tb1(X0)),X1)
| ~ $less($sum(X1,X2),length1(int,t2tb1(X0)))
| $less(sK0(X0,X3,X1,X2),X2)
| $less(X2,0) ),
inference(resolution,[],[f112,f122]) ).
tff(f362,plain,
! [X2: $int,X3: $int,X0: array_int,X1: $int] :
( lt1(X0,X3,X1)
| $less(X1,0)
| $less(length1(int,t2tb1(X0)),X3)
| $less(X2,0)
| $less(X3,0)
| $less(length1(int,t2tb1(X0)),$sum(X3,X2))
| ( length1(int,t2tb1(X0)) != $sum(X3,X2) )
| ~ $less(sK0(X0,X3,X1,X2),0)
| ~ $less($sum(X1,X2),length1(int,t2tb1(X0)))
| $less(length1(int,t2tb1(X0)),$sum(X1,X2))
| $less(length1(int,t2tb1(X0)),X1) ),
inference(resolution,[],[f112,f121]) ).
tff(f380,plain,
! [X2: $int,X3: $int,X0: $int,X1: array_int] :
( lt1(X1,X2,X3)
| ( tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X3,sK0(X1,X2,X3,X0))))) != tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X2,sK0(X1,X2,X3,X0))))) )
| $less(length1(int,t2tb1(X1)),X3)
| $less(X0,0)
| $less(length1(int,t2tb1(X1)),$sum(X2,X0))
| ( $sum(X2,X0) != length1(int,t2tb1(X1)) )
| $less(X3,0)
| $less(X2,0)
| $less(length1(int,t2tb1(X1)),$sum(X3,X0))
| $less(length1(int,t2tb1(X1)),X2)
| ~ $less($sum(X3,X0),length1(int,t2tb1(X1))) ),
inference(resolution,[],[f153,f112]) ).
tff(f469,plain,
( ! [X0: $int] :
( ~ $less(X0,sK5)
| $less(X0,0)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,X0)))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,X0)))) ) )
| ~ spl6_17 ),
inference(forward_demodulation,[],[f346,f286]) ).
tff(f605,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(X0,0)
| $less(sK4,0)
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(sK1,0) )
| spl6_4 ),
inference(resolution,[],[f361,f175]) ).
tff(f606,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(sK1,0)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) ) )
| spl6_3
| spl6_4 ),
inference(forward_subsumption_resolution,[],[f605,f170]) ).
tff(f607,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f606,f185]) ).
tff(f608,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0)) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f607,f148]) ).
tff(f609,plain,
( ! [X0: $int] :
( ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f608,f148]) ).
tff(f610,plain,
( ! [X0: $int] :
( $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| $less(X0,0)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f609,f148]) ).
tff(f611,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f610,f148]) ).
tff(f612,plain,
( ! [X0: $int] :
( $less(sK2,$sum(sK1,X0))
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0)) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f611,f124]) ).
tff(f613,plain,
( ! [X0: $int] :
( $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(X0,0)
| $less(sK2,$sum(sK1,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) ) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f612,f148]) ).
tff(f614,plain,
( ! [X0: $int] :
( $less(sK2,sK4)
| $less(X0,0)
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(sK2,$sum(sK1,X0))
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) ) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f613,f124]) ).
tff(f615,plain,
( ! [X0: $int] :
( $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(sK2,$sum(sK1,X0))
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f614,f180]) ).
tff(f616,plain,
( ! [X0: $int] :
( ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| $less(sK2,$sum(sK1,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f615,f148]) ).
tff(f617,plain,
( ! [X0: $int] :
( $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| ( sK2 != $sum(sK4,X0) )
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1)
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| $less(sK2,$sum(sK1,X0)) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f616,f124]) ).
tff(f618,plain,
( ! [X0: $int] :
( $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(sK2,$sum(sK4,X0))
| $less(sK2,$sum(sK1,X0))
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| $less(X0,0)
| ( sK2 != $sum(sK4,X0) )
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f617,f124]) ).
tff(f619,plain,
( ! [X0: $int] :
( $less(sK2,$sum(sK4,X0))
| ~ $less($sum(sK1,X0),sK2)
| $less(sK2,$sum(sK1,X0))
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| ( sK2 != $sum(sK4,X0) )
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f618,f124]) ).
tff(f620,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,X0),sK2)
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(sK2,$sum(sK4,X0))
| ( sK2 != $sum(sK4,X0) )
| $less(sK2,$sum(sK1,X0))
| $less(sK2,sK1)
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f619,f124]) ).
tff(f621,plain,
( ! [X0: $int] :
( ( sK2 != $sum(sK4,X0) )
| $less(sK2,$sum(sK4,X0))
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),X0)
| $less(sK2,$sum(sK1,X0))
| $less(X0,0)
| ~ $less($sum(sK1,X0),sK2) )
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f620,f160]) ).
tff(f622,plain,
( ! [X0: $int] :
( ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(sK4,0)
| $less(sK1,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0)) )
| spl6_4 ),
inference(resolution,[],[f362,f175]) ).
tff(f623,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(X0,0)
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(sK1,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0) )
| spl6_3
| spl6_4 ),
inference(forward_subsumption_resolution,[],[f622,f170]) ).
tff(f624,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0)) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f623,f185]) ).
tff(f625,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f624,f148]) ).
tff(f626,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0)) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f625,f148]) ).
tff(f627,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| ~ $less($sum(sK1,X0),sK2)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f626,f124]) ).
tff(f628,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ~ $less($sum(sK1,X0),sK2)
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f627,f148]) ).
tff(f629,plain,
( ! [X0: $int] :
( ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| ~ $less($sum(sK1,X0),sK2)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f628,f148]) ).
tff(f630,plain,
( ! [X0: $int] :
( ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| ~ $less($sum(sK1,X0),sK2)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f629,f148]) ).
tff(f631,plain,
( ! [X0: $int] :
( ~ $less($sum(sK1,X0),sK2)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(sK2,$sum(sK1,X0))
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) ) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f630,f124]) ).
tff(f632,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(sK2,$sum(sK4,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(sK2,$sum(sK1,X0))
| ~ $less($sum(sK1,X0),sK2)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f631,f124]) ).
tff(f633,plain,
( ! [X0: $int] :
( $less(sK2,$sum(sK1,X0))
| ~ $less($sum(sK1,X0),sK2)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(sK2,$sum(sK4,X0))
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f632,f148]) ).
tff(f634,plain,
( ! [X0: $int] :
( ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),sK2)
| $less(sK2,$sum(sK1,X0))
| $less(sK2,sK4)
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1)
| $less(sK2,$sum(sK4,X0))
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f633,f124]) ).
tff(f635,plain,
( ! [X0: $int] :
( ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| $less(sK2,$sum(sK4,X0))
| $less(sK2,$sum(sK1,X0))
| ~ $less($sum(sK1,X0),sK2)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f634,f180]) ).
tff(f636,plain,
( ! [X0: $int] :
( $less(sK2,sK1)
| $less(sK2,$sum(sK1,X0))
| $less(sK2,$sum(sK4,X0))
| $less(X0,0)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| ~ $less($sum(sK1,X0),sK2)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) ) )
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f635,f124]) ).
tff(f637,plain,
( ! [X0: $int] :
( $less(sK2,$sum(sK1,X0))
| $less(sK2,$sum(sK4,X0))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(X0,0)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| ~ $less($sum(sK1,X0),sK2) )
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f636,f160]) ).
tff(f638,plain,
( ! [X0: $int] :
( ( sK2 != $sum(sK4,X0) )
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0),0)
| ~ $less($sum(sK1,X0),sK2)
| $less(X0,0)
| $less(sK2,$sum(sK1,X0))
| $less(sK2,$sum(sK4,X0)) )
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f637,f124]) ).
tff(f775,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(X0,0)
| $less(sK1,0)
| ( tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(sK4,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3)))))) )
| spl6_4 ),
inference(resolution,[],[f380,f175]) ).
tff(f776,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(sK4,0)
| ( tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(X0,0)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4) )
| spl6_4
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f775,f185]) ).
tff(f777,plain,
( ! [X0: $int] :
( ( tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f776,f170]) ).
tff(f778,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK4,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f777,f148]) ).
tff(f779,plain,
( ! [X0: $int] :
( ( length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3)))))) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f778,f148]) ).
tff(f780,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK1)
| ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0)) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f779,f148]) ).
tff(f781,plain,
( ! [X0: $int] :
( $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK1)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| $less(X0,0) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f780,f148]) ).
tff(f782,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(sK2,sK1)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0)) )
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f781,f124]) ).
tff(f783,plain,
( ! [X0: $int] :
( $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0)) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f782,f160]) ).
tff(f784,plain,
( ! [X0: $int] :
( ( tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK2,t2tb2(sK3))),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(X0,0)
| $less(sK2,$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3)))))) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f783,f124]) ).
tff(f785,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),sK4)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(X0,0)
| $less(sK2,$sum(sK4,X0))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3)))))) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f784,f286]) ).
tff(f786,plain,
( ! [X0: $int] :
( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| ~ $less($sum(sK1,X0),length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))))
| $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| $less(X0,0)
| $less(sK2,$sum(sK4,X0)) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f785,f148]) ).
tff(f787,plain,
( ! [X0: $int] :
( $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK2,t2tb2(sK3))))),$sum(sK1,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(X0,0)
| $less(sK2,$sum(sK4,X0))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3)))) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f786,f148]) ).
tff(f788,plain,
( ! [X0: $int] :
( $less(sK2,$sum(sK4,X0))
| ( length1(int,mk_array1(int,sK2,t2tb2(sK3))) != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f787,f148]) ).
tff(f789,plain,
( ! [X0: $int] :
( ( sK2 != $sum(sK4,X0) )
| $less(X0,0)
| ~ $less($sum(sK1,X0),length1(int,mk_array1(int,sK2,t2tb2(sK3))))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(sK2,$sum(sK4,X0)) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f788,f124]) ).
tff(f790,plain,
( ! [X0: $int] :
( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),sK4)
| ~ $less($sum(sK1,X0),sK2)
| $less(X0,0)
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| ( sK2 != $sum(sK4,X0) )
| $less(sK2,$sum(sK4,X0)) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f789,f124]) ).
tff(f791,plain,
( ! [X0: $int] :
( $less(sK2,sK4)
| ~ $less($sum(sK1,X0),sK2)
| ( sK2 != $sum(sK4,X0) )
| $less(X0,0)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| $less(sK2,$sum(sK4,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0)) )
| spl6_1
| spl6_3
| spl6_4
| spl6_6 ),
inference(forward_demodulation,[],[f790,f124]) ).
tff(f792,plain,
( ! [X0: $int] :
( $less(sK2,$sum(sK4,X0))
| $less(length1(int,mk_array1(int,sK2,t2tb2(sK3))),$sum(sK1,X0))
| $less(X0,0)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) )
| ( sK2 != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),sK2) )
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f791,f180]) ).
tff(f793,plain,
( ! [X0: $int] :
( ( sK2 != $sum(sK4,X0) )
| ~ $less($sum(sK1,X0),sK2)
| $less(X0,0)
| $less(sK2,$sum(sK1,X0))
| $less(sK2,$sum(sK4,X0))
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,X0))))) ) )
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(forward_demodulation,[],[f792,f124]) ).
tff(f966,plain,
( $less(sK5,0)
| $less(sK2,$sum(sK1,sK5))
| ( sK2 != sK2 )
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),sK5)
| ~ $less($sum(sK1,sK5),sK2)
| $less(sK2,sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(superposition,[],[f621,f190]) ).
tff(f967,plain,
( $less(sK5,0)
| ~ $less($sum(sK1,sK5),sK2)
| $less(sK2,$sum(sK1,sK5))
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),sK5)
| $less(sK2,sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f966]) ).
tff(f968,plain,
( $less(sK5,0)
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),sK5)
| $less(sK2,sK2)
| ~ $less($sum(sK1,sK5),sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f967,f57]) ).
tff(f969,plain,
( ~ $less($sum(sK1,sK5),sK2)
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),sK5)
| $less(sK2,sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(forward_subsumption_resolution,[],[f968,f284]) ).
tff(f970,plain,
( $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),sK5)
| ~ $less($sum(sK1,sK5),sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(forward_subsumption_resolution,[],[f969,f56]) ).
tff(f972,definition,
( spl6_49
<=> $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),sK5) ),
introduced(definition,[new_symbols(definition,[spl6_49])],[avatar_definition]) ).
tff(f974,plain,
( $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),sK5)
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f972]) ).
tff(f976,definition,
( spl6_50
<=> $less($sum(sK1,sK5),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_50])],[avatar_definition]) ).
tff(f979,plain,
( spl6_49
| ~ spl6_50
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(avatar_split_clause,[],[f970,f282,f188,f183,f178,f173,f168,f158,f976,f972]) ).
tff(f980,plain,
( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) )
| $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),0)
| ~ spl6_17
| ~ spl6_49 ),
inference(resolution,[],[f974,f469]) ).
tff(f990,definition,
( spl6_52
<=> $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),0) ),
introduced(definition,[new_symbols(definition,[spl6_52])],[avatar_definition]) ).
tff(f999,definition,
( spl6_54
<=> ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) ) ),
introduced(definition,[new_symbols(definition,[spl6_54])],[avatar_definition]) ).
tff(f1002,plain,
( spl6_54
| spl6_52
| ~ spl6_17
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f980,f972,f276,f990,f999]) ).
tff(f1020,plain,
( ~ $less($sum(sK1,sK5),sK2)
| $less(sK5,0)
| $less(sK2,sK2)
| ( sK2 != sK2 )
| $less(sK2,$sum(sK1,sK5))
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),0)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(superposition,[],[f638,f190]) ).
tff(f1021,plain,
( ~ $less($sum(sK1,sK5),sK2)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),0)
| $less(sK5,0)
| $less(sK2,$sum(sK1,sK5))
| $less(sK2,sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f1020]) ).
tff(f1022,plain,
( $less(sK5,0)
| ~ $less($sum(sK1,sK5),sK2)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),0)
| $less(sK2,sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f1021,f57]) ).
tff(f1023,plain,
( $less(sK2,sK2)
| ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),0)
| ~ $less($sum(sK1,sK5),sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(forward_subsumption_resolution,[],[f1022,f284]) ).
tff(f1024,plain,
( ~ $less(sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5),0)
| ~ $less($sum(sK1,sK5),sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(forward_subsumption_resolution,[],[f1023,f56]) ).
tff(f1025,plain,
( ~ spl6_50
| ~ spl6_52
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(avatar_split_clause,[],[f1024,f282,f188,f183,f178,f173,f168,f158,f990,f976]) ).
tff(f1300,plain,
( $less(sK5,0)
| $less(sK2,$sum(sK1,sK5))
| ~ $less($sum(sK1,sK5),sK2)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) )
| ( sK2 != sK2 )
| $less(sK2,sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(superposition,[],[f793,f190]) ).
tff(f1301,plain,
( ~ $less($sum(sK1,sK5),sK2)
| $less(sK2,sK2)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) )
| $less(sK2,$sum(sK1,sK5))
| $less(sK5,0)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f1300]) ).
tff(f1302,plain,
( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) )
| ~ $less($sum(sK1,sK5),sK2)
| $less(sK2,sK2)
| $less(sK5,0)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f1301,f57]) ).
tff(f1303,plain,
( $less(sK5,0)
| ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) )
| ~ $less($sum(sK1,sK5),sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f1302,f56]) ).
tff(f1304,plain,
( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK4,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK0(tb2t1(mk_array1(int,sK2,t2tb2(sK3))),sK4,sK1,sK5))))) )
| ~ $less($sum(sK1,sK5),sK2)
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(forward_subsumption_resolution,[],[f1303,f284]) ).
tff(f1305,plain,
( ~ spl6_50
| ~ spl6_54
| spl6_1
| spl6_3
| spl6_4
| spl6_5
| spl6_6
| ~ spl6_7
| spl6_18 ),
inference(avatar_split_clause,[],[f1304,f282,f188,f183,f178,f173,f168,f158,f999,f976]) ).
tff(f1306,plain,
$false,
inference(avatar_smt_refutation,[],[f1305,f1025,f1002,f979,f317,f285,f279,f196,f191,f186,f181,f176,f171,f166,f161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW658_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n004.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 14:23:52 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running first-order theorem proving
% 0.27/0.32 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
% 5.70/1.74 % (384042)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.70/1.74 % (384049)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2416039041:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.70/1.74 % (384050)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2596321144:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.70/1.74 % (384049)Instruction limit reached!
% 5.70/1.74 % (384049)------------------------------
% 5.70/1.74 % (384049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.74 % (384049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.74 % (384049)CaDiCaL version: 2.1.3
% 5.70/1.74 % (384049)Termination reason: Instruction limit
% 5.70/1.74 % (384049)Termination phase: Saturation
% 5.70/1.74 % (384049)Time elapsed: 0.025 s
% 5.70/1.74 % (384049)Peak memory usage: 115 MB
% 5.70/1.74 % (384049)Instructions burned: 12 (million)
% 5.70/1.74 % (384054)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=984409637:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.70/1.74 % (384051)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=910671549:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.70/1.74 % (384055)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=444398594:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.70/1.74 % (384053)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4201373085:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.70/1.74 % (384052)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2209842752:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.70/1.74 % (384053)Instruction limit reached!
% 5.70/1.74 % (384053)------------------------------
% 5.70/1.74 % (384053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.74 % (384053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.74 % (384053)CaDiCaL version: 2.1.3
% 5.70/1.74 % (384053)Termination reason: Instruction limit
% 5.70/1.74 % (384053)Termination phase: Saturation
% 5.70/1.74 % (384053)Time elapsed: 0.005 s
% 5.70/1.74 % (384053)Peak memory usage: 88 MB
% 5.70/1.74 % (384053)Instructions burned: 4 (million)
% 5.70/1.74 % (384052)Instruction limit reached!
% 5.70/1.74 % (384052)------------------------------
% 5.70/1.74 % (384052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.74 % (384052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.74 % (384052)CaDiCaL version: 2.1.3
% 5.70/1.74 % (384052)Termination reason: Instruction limit
% 5.70/1.74 % (384052)Termination phase: Saturation
% 5.70/1.74 % (384052)Time elapsed: 0.009 s
% 5.70/1.74 % (384052)Peak memory usage: 88 MB
% 5.70/1.74 % (384052)Instructions burned: 7 (million)
% 5.70/1.74 % (384055)Instruction limit reached!
% 5.70/1.74 % (384055)------------------------------
% 5.70/1.74 % (384055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.74 % (384055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.74 % (384055)CaDiCaL version: 2.1.3
% 5.70/1.74 % (384055)Termination reason: Instruction limit
% 5.70/1.74 % (384055)Termination phase: Saturation
% 5.70/1.74 % (384055)Time elapsed: 0.067 s
% 5.70/1.74 % (384055)Peak memory usage: 116 MB
% 5.70/1.74 % (384055)Instructions burned: 33 (million)
% 5.70/1.74 % (384054)Instruction limit reached!
% 5.70/1.74 % (384054)------------------------------
% 5.70/1.74 % (384054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.74 % (384054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.74 % (384054)CaDiCaL version: 2.1.3
% 5.70/1.74 % (384054)Termination reason: Instruction limit
% 5.70/1.74 % (384054)Termination phase: Saturation
% 5.70/1.74 % (384054)Time elapsed: 0.080 s
% 5.70/1.74 % (384054)Peak memory usage: 116 MB
% 5.70/1.74 % (384054)Instructions burned: 47 (million)
% 5.70/1.74 % (384058)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2072460057:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.70/1.74 % (384058)Instruction limit reached!
% 5.70/1.74 % (384058)------------------------------
% 5.70/1.74 % (384058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.96 % (384058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.96 % (384058)CaDiCaL version: 2.1.3
% 7.13/1.96 % (384058)Termination reason: Instruction limit
% 7.13/1.96 % (384058)Termination phase: Saturation
% 7.13/1.96 % (384058)Time elapsed: 0.009 s
% 7.13/1.96 % (384058)Peak memory usage: 88 MB
% 7.13/1.96 % (384058)Instructions burned: 14 (million)
% 7.13/1.96 % (384050)Instruction limit reached!
% 7.13/1.96 % (384050)------------------------------
% 7.13/1.96 % (384050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.96 % (384050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.96 % (384050)CaDiCaL version: 2.1.3
% 7.13/1.96 % (384050)Termination reason: Instruction limit
% 7.13/1.96 % (384050)Termination phase: Saturation
% 7.13/1.96 % (384050)Time elapsed: 0.317 s
% 7.13/1.96 % (384050)Peak memory usage: 117 MB
% 7.13/1.96 % (384050)Instructions burned: 307 (million)
% 7.13/1.96 % (384064)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=936660583:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.13/1.96 % (384051)Instruction limit reached!
% 7.13/1.96 % (384051)------------------------------
% 7.13/1.96 % (384051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.96 % (384051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.96 % (384051)CaDiCaL version: 2.1.3
% 7.13/1.96 % (384051)Termination reason: Instruction limit
% 7.13/1.96 % (384051)Termination phase: Saturation
% 7.13/1.96 % (384051)Time elapsed: 0.257 s
% 7.13/1.96 % (384051)Peak memory usage: 119 MB
% 7.13/1.96 % (384051)Instructions burned: 201 (million)
% 7.13/1.96 % (384064)Instruction limit reached!
% 7.13/1.96 % (384064)------------------------------
% 7.13/1.96 % (384064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.96 % (384064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.96 % (384064)CaDiCaL version: 2.1.3
% 7.13/1.96 % (384064)Termination reason: Instruction limit
% 7.13/1.96 % (384064)Termination phase: Saturation
% 7.13/1.96 % (384064)Time elapsed: 0.037 s
% 7.13/1.96 % (384064)Peak memory usage: 89 MB
% 7.13/1.96 % (384064)Instructions burned: 29 (million)
% 7.13/1.96 % (384065)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2818060224:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 7.13/1.96 % (384065)Instruction limit reached!
% 7.13/1.96 % (384065)------------------------------
% 7.13/1.96 % (384065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.96 % (384065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.96 % (384065)CaDiCaL version: 2.1.3
% 7.13/1.96 % (384065)Termination reason: Instruction limit
% 7.13/1.96 % (384065)Termination phase: Saturation
% 7.13/1.96 % (384065)Time elapsed: 0.017 s
% 7.13/1.96 % (384065)Peak memory usage: 89 MB
% 7.13/1.96 % (384065)Instructions burned: 16 (million)
% 7.13/1.96 % (384069)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=328891451:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 7.13/1.96 % (384066)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=665195531:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 7.13/1.96 % (384067)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=2909650183:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.13/1.96 % (384067)Instruction limit reached!
% 7.13/1.96 % (384067)------------------------------
% 7.13/1.96 % (384067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.96 % (384067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.96 % (384067)CaDiCaL version: 2.1.3
% 7.13/1.96 % (384067)Termination reason: Instruction limit
% 7.13/1.96 % (384067)Termination phase: Saturation
% 7.13/1.96 % (384067)Time elapsed: 0.028 s
% 7.13/1.96 % (384067)Peak memory usage: 89 MB
% 7.13/1.96 % (384067)Instructions burned: 27 (million)
% 7.13/1.96 % (384066)Instruction limit reached!
% 7.13/1.96 % (384066)------------------------------
% 7.13/1.96 % (384066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/1.96 % (384066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (384066)CaDiCaL version: 2.1.3
% 9.69/2.26 % (384066)Termination reason: Instruction limit
% 9.69/2.26 % (384066)Termination phase: Saturation
% 9.69/2.26 % (384066)Time elapsed: 0.030 s
% 9.69/2.26 % (384066)Peak memory usage: 89 MB
% 9.69/2.26 % (384066)Instructions burned: 24 (million)
% 9.69/2.26 % (384069)Instruction limit reached!
% 9.69/2.26 % (384069)------------------------------
% 9.69/2.26 % (384069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (384069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (384069)CaDiCaL version: 2.1.3
% 9.69/2.26 % (384069)Termination reason: Instruction limit
% 9.69/2.26 % (384069)Termination phase: Saturation
% 9.69/2.26 % (384069)Time elapsed: 0.073 s
% 9.69/2.26 % (384069)Peak memory usage: 89 MB
% 9.69/2.26 % (384069)Instructions burned: 85 (million)
% 9.69/2.26 % (384070)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1343966636:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 9.69/2.26 % (384070)Instruction limit reached!
% 9.69/2.26 % (384070)------------------------------
% 9.69/2.26 % (384070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (384070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (384070)CaDiCaL version: 2.1.3
% 9.69/2.26 % (384070)Termination reason: Instruction limit
% 9.69/2.26 % (384070)Termination phase: Preprocessing 3
% 9.69/2.26 % (384070)Time elapsed: 0.003 s
% 9.69/2.26 % (384070)Peak memory usage: 86 MB
% 9.69/2.26 % (384070)Instructions burned: 2 (million)
% 9.69/2.26 % (384075)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=765164030:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 9.69/2.26 % (384073)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2957423956:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.69/2.26 % (384074)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3558401737:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.69/2.26 % (384074)Instruction limit reached!
% 9.69/2.26 % (384074)------------------------------
% 9.69/2.26 % (384074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (384074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (384074)CaDiCaL version: 2.1.3
% 9.69/2.26 % (384074)Termination reason: Instruction limit
% 9.69/2.26 % (384074)Termination phase: Saturation
% 9.69/2.26 % (384074)Time elapsed: 0.005 s
% 9.69/2.26 % (384074)Peak memory usage: 87 MB
% 9.69/2.26 % (384074)Instructions burned: 5 (million)
% 9.69/2.26 % (384075)Instruction limit reached!
% 9.69/2.26 % (384075)------------------------------
% 9.69/2.26 % (384075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (384075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (384075)CaDiCaL version: 2.1.3
% 9.69/2.26 % (384075)Termination reason: Instruction limit
% 9.69/2.26 % (384075)Termination phase: Saturation
% 9.69/2.26 % (384075)Time elapsed: 0.075 s
% 9.69/2.26 % (384075)Peak memory usage: 134 MB
% 9.69/2.26 % (384075)Instructions burned: 68 (million)
% 9.69/2.26 % (384080)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=1107359540:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 9.69/2.26 % (384080)Instruction limit reached!
% 9.69/2.26 % (384080)------------------------------
% 9.69/2.26 % (384080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.26 % (384080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.26 % (384080)CaDiCaL version: 2.1.3
% 9.69/2.26 % (384080)Termination reason: Instruction limit
% 9.69/2.26 % (384080)Termination phase: Saturation
% 9.69/2.26 % (384080)Time elapsed: 0.009 s
% 9.69/2.26 % (384080)Peak memory usage: 88 MB
% 9.69/2.26 % (384080)Instructions burned: 8 (million)
% 9.69/2.26 % (384079)lrs+10_1_thi=all:si=on:fd=off:random_seed=3536032360:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 9.69/2.26 % (384082)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2580386718:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 9.69/2.26 % (384082)Instruction limit reached!
% 9.69/2.26 % (384082)------------------------------
% 11.46/2.66 % (384082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.66 % (384082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.66 % (384082)CaDiCaL version: 2.1.3
% 11.46/2.66 % (384082)Termination reason: Instruction limit
% 11.46/2.66 % (384082)Termination phase: Property scanning
% 11.46/2.66 % (384082)Time elapsed: 0.003 s
% 11.46/2.66 % (384082)Peak memory usage: 86 MB
% 11.46/2.66 % (384082)Instructions burned: 2 (million)
% 11.46/2.66 % (384073)Instruction limit reached!
% 11.46/2.66 % (384073)------------------------------
% 11.46/2.66 % (384073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.66 % (384073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.66 % (384073)CaDiCaL version: 2.1.3
% 11.46/2.66 % (384073)Termination reason: Instruction limit
% 11.46/2.66 % (384073)Termination phase: Saturation
% 11.46/2.66 % (384073)Time elapsed: 0.168 s
% 11.46/2.66 % (384073)Peak memory usage: 90 MB
% 11.46/2.66 % (384073)Instructions burned: 182 (million)
% 11.46/2.66 % (384079)Instruction limit reached!
% 11.46/2.66 % (384079)------------------------------
% 11.46/2.66 % (384079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.66 % (384079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.66 % (384079)CaDiCaL version: 2.1.3
% 11.46/2.66 % (384079)Termination reason: Instruction limit
% 11.46/2.66 % (384079)Termination phase: Saturation
% 11.46/2.66 % (384079)Time elapsed: 0.096 s
% 11.46/2.66 % (384079)Peak memory usage: 118 MB
% 11.46/2.66 % (384079)Instructions burned: 53 (million)
% 11.46/2.66 % (384087)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=175715289:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 11.46/2.66 % (384087)Instruction limit reached!
% 11.46/2.66 % (384087)------------------------------
% 11.46/2.66 % (384087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.66 % (384087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.66 % (384087)CaDiCaL version: 2.1.3
% 11.46/2.66 % (384087)Termination reason: Instruction limit
% 11.46/2.66 % (384087)Termination phase: Preprocessing 3
% 11.46/2.66 % (384087)Time elapsed: 0.003 s
% 11.46/2.66 % (384087)Peak memory usage: 86 MB
% 11.46/2.66 % (384087)Instructions burned: 2 (million)
% 11.46/2.66 % (384091)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1210764018:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 11.46/2.66 % (384092)dis+10_1_si=on:random_seed=947626589:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 11.46/2.66 % (384092)Instruction limit reached!
% 11.46/2.66 % (384092)------------------------------
% 11.46/2.66 % (384092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.66 % (384092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.66 % (384092)CaDiCaL version: 2.1.3
% 11.46/2.66 % (384092)Termination reason: Instruction limit
% 11.46/2.66 % (384092)Termination phase: Saturation
% 11.46/2.66 % (384092)Time elapsed: 0.007 s
% 11.46/2.66 % (384092)Peak memory usage: 88 MB
% 11.46/2.66 % (384092)Instructions burned: 10 (million)
% 11.46/2.66 % (384094)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4034050998:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 11.46/2.66 % (384094)Refutation not found, incomplete strategy
% 11.46/2.66 % (384094)------------------------------
% 11.46/2.66 % (384094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.66 % (384094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.66 % (384094)CaDiCaL version: 2.1.3
% 11.46/2.66 % (384094)Termination reason: Refutation not found, incomplete strategy
% 11.46/2.66 % (384094)Time elapsed: 0.012 s
% 11.46/2.66 % (384094)Peak memory usage: 89 MB
% 11.46/2.66 % (384094)Instructions burned: 9 (million)
% 11.46/2.66 % (384097)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1649337501: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_2990 on theBenchmark for (2990ds/35Mi)
% 11.46/2.66 % (384098)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=634536487:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 11.46/2.66 % (384098)Instruction limit reached!
% 11.46/2.66 % (384098)------------------------------
% 11.46/2.66 % (384098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.15 % (384098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.15 % (384098)CaDiCaL version: 2.1.3
% 16.84/3.15 % (384098)Termination reason: Instruction limit
% 16.84/3.15 % (384098)Termination phase: Clausification
% 16.84/3.15 % (384098)Time elapsed: 0.003 s
% 16.84/3.15 % (384098)Peak memory usage: 86 MB
% 16.84/3.15 % (384098)Instructions burned: 2 (million)
% 16.84/3.15 % (384097)Instruction limit reached!
% 16.84/3.15 % (384097)------------------------------
% 16.84/3.15 % (384097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.15 % (384097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.15 % (384097)CaDiCaL version: 2.1.3
% 16.84/3.15 % (384097)Termination reason: Instruction limit
% 16.84/3.15 % (384097)Termination phase: Saturation
% 16.84/3.15 % (384097)Time elapsed: 0.045 s
% 16.84/3.15 % (384097)Peak memory usage: 89 MB
% 16.84/3.15 % (384097)Instructions burned: 35 (million)
% 16.84/3.15 % (384091)Instruction limit reached!
% 16.84/3.15 % (384091)------------------------------
% 16.84/3.15 % (384091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.15 % (384091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.15 % (384091)CaDiCaL version: 2.1.3
% 16.84/3.15 % (384091)Termination reason: Instruction limit
% 16.84/3.15 % (384091)Termination phase: Saturation
% 16.84/3.15 % (384091)Time elapsed: 0.174 s
% 16.84/3.15 % (384091)Peak memory usage: 118 MB
% 16.84/3.15 % (384091)Instructions burned: 127 (million)
% 16.84/3.15 % (384101)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2004936746:i=370:ep=RS:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/370Mi)
% 16.84/3.15 % (384100)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3337673901:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 16.84/3.15 % (384104)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2531450681:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 16.84/3.15 % (384100)Instruction limit reached!
% 16.84/3.15 % (384100)------------------------------
% 16.84/3.15 % (384100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.15 % (384100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.15 % (384100)CaDiCaL version: 2.1.3
% 16.84/3.15 % (384100)Termination reason: Instruction limit
% 16.84/3.15 % (384100)Termination phase: Saturation
% 16.84/3.15 % (384100)Time elapsed: 0.011 s
% 16.84/3.15 % (384100)Peak memory usage: 88 MB
% 16.84/3.15 % (384100)Instructions burned: 8 (million)
% 16.84/3.15 % (384104)Instruction limit reached!
% 16.84/3.15 % (384104)------------------------------
% 16.84/3.15 % (384104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.15 % (384104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.15 % (384104)CaDiCaL version: 2.1.3
% 16.84/3.15 % (384104)Termination reason: Instruction limit
% 16.84/3.15 % (384104)Termination phase: Saturation
% 16.84/3.15 % (384104)Time elapsed: 0.040 s
% 16.84/3.15 % (384104)Peak memory usage: 113 MB
% 16.84/3.15 % (384104)Instructions burned: 13 (million)
% 16.84/3.15 % (384121)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2290988652:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 16.84/3.15 % (384117)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3208507239:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 16.84/3.15 % (384120)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1264528523:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 16.84/3.15 % (384120)Instruction limit reached!
% 16.84/3.15 % (384120)------------------------------
% 16.84/3.15 % (384120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.15 % (384120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.15 % (384120)CaDiCaL version: 2.1.3
% 16.84/3.15 % (384120)Termination reason: Instruction limit
% 16.84/3.15 % (384120)Termination phase: Saturation
% 16.84/3.15 % (384120)Time elapsed: 0.013 s
% 16.84/3.15 % (384120)Peak memory usage: 88 MB
% 16.84/3.15 % (384120)Instructions burned: 11 (million)
% 16.84/3.15 % (384121)Instruction limit reached!
% 16.84/3.15 % (384121)------------------------------
% 16.84/3.15 % (384121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384121)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384121)Termination reason: Instruction limit
% 17.15/3.42 % (384121)Termination phase: Saturation
% 17.15/3.42 % (384121)Time elapsed: 0.076 s
% 17.15/3.42 % (384121)Peak memory usage: 133 MB
% 17.15/3.42 % (384121)Instructions burned: 73 (million)
% 17.15/3.42 % (384094)------------------------------
% 17.15/3.42 % (384094)------------------------------
% 17.15/3.42 % (384127)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=2587152425:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2987 on theBenchmark for (2987ds/75Mi)
% 17.15/3.42 % (384129)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=1949539859:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 17.15/3.42 % (384101)Instruction limit reached!
% 17.15/3.42 % (384101)------------------------------
% 17.15/3.42 % (384101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384101)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384101)Termination reason: Instruction limit
% 17.15/3.42 % (384101)Termination phase: Saturation
% 17.15/3.42 % (384101)Time elapsed: 0.338 s
% 17.15/3.42 % (384101)Peak memory usage: 91 MB
% 17.15/3.42 % (384101)Instructions burned: 370 (million)
% 17.15/3.42 % (384127)Instruction limit reached!
% 17.15/3.42 % (384127)------------------------------
% 17.15/3.42 % (384127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384127)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384127)Termination reason: Instruction limit
% 17.15/3.42 % (384127)Termination phase: Saturation
% 17.15/3.42 % (384127)Time elapsed: 0.081 s
% 17.15/3.42 % (384127)Peak memory usage: 89 MB
% 17.15/3.42 % (384127)Instructions burned: 75 (million)
% 17.15/3.42 % (384117)Instruction limit reached!
% 17.15/3.42 % (384117)------------------------------
% 17.15/3.42 % (384117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384117)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384117)Termination reason: Instruction limit
% 17.15/3.42 % (384117)Termination phase: Saturation
% 17.15/3.42 % (384117)Time elapsed: 0.239 s
% 17.15/3.42 % (384117)Peak memory usage: 116 MB
% 17.15/3.42 % (384117)Instructions burned: 226 (million)
% 17.15/3.42 % (384134)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=4016000844:i=131:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 17.15/3.42 % (384133)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3208270967:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2985 on theBenchmark for (2985ds/130Mi)
% 17.15/3.42 % (384135)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2270563505:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 17.15/3.42 % (384134)Instruction limit reached!
% 17.15/3.42 % (384134)------------------------------
% 17.15/3.42 % (384134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384134)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384134)Termination reason: Instruction limit
% 17.15/3.42 % (384134)Termination phase: Saturation
% 17.15/3.42 % (384134)Time elapsed: 0.112 s
% 17.15/3.42 % (384134)Peak memory usage: 134 MB
% 17.15/3.42 % (384134)Instructions burned: 131 (million)
% 17.15/3.42 % (384138)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3328483203:i=307:rtra=on:gtg=exists_top_2984 on theBenchmark for (2984ds/307Mi)
% 17.15/3.42 % (384129)Instruction limit reached!
% 17.15/3.42 % (384129)------------------------------
% 17.15/3.42 % (384129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384129)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384129)Termination reason: Instruction limit
% 17.15/3.42 % (384129)Termination phase: Saturation
% 17.15/3.42 % (384129)Time elapsed: 0.300 s
% 17.15/3.42 % (384129)Peak memory usage: 91 MB
% 17.15/3.42 % (384129)Instructions burned: 295 (million)
% 17.15/3.42 % (384140)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=116230684:i=131:canc=cautious:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/131Mi)
% 17.15/3.42 % (384139)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=4280027267:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/598Mi)
% 17.15/3.42 % (384135)Instruction limit reached!
% 17.15/3.42 % (384135)------------------------------
% 17.15/3.42 % (384135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384135)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384135)Termination reason: Instruction limit
% 17.15/3.42 % (384135)Termination phase: Saturation
% 17.15/3.42 % (384135)Time elapsed: 0.101 s
% 17.15/3.42 % (384135)Peak memory usage: 135 MB
% 17.15/3.42 % (384135)Instructions burned: 40 (million)
% 17.15/3.42 % (384133)Instruction limit reached!
% 17.15/3.42 % (384133)------------------------------
% 17.15/3.42 % (384133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384133)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384133)Termination reason: Instruction limit
% 17.15/3.42 % (384133)Termination phase: Saturation
% 17.15/3.42 % (384133)Time elapsed: 0.161 s
% 17.15/3.42 % (384133)Peak memory usage: 117 MB
% 17.15/3.42 % (384133)Instructions burned: 130 (million)
% 17.15/3.42 % (384144)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=1380833098:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2982 on theBenchmark for (2982ds/259Mi)
% 17.15/3.42 % (384140)Instruction limit reached!
% 17.15/3.42 % (384140)------------------------------
% 17.15/3.42 % (384140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384140)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384140)Termination reason: Instruction limit
% 17.15/3.42 % (384140)Termination phase: Saturation
% 17.15/3.42 % (384140)Time elapsed: 0.160 s
% 17.15/3.42 % (384140)Peak memory usage: 118 MB
% 17.15/3.42 % (384140)Instructions burned: 132 (million)
% 17.15/3.42 % (384146)dis+10_1_si=on:random_seed=3807679754:s2a=on:i=1000:rtra=on:gtg=exists_all_2981 on theBenchmark for (2981ds/1000Mi)
% 17.15/3.42 % (384149)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=378114411:i=383:fsr=off:rtra=on:ev=force_2981 on theBenchmark for (2981ds/383Mi)
% 17.15/3.42 % (384138)Instruction limit reached!
% 17.15/3.42 % (384138)------------------------------
% 17.15/3.42 % (384138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384138)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384138)Termination reason: Instruction limit
% 17.15/3.42 % (384138)Termination phase: Saturation
% 17.15/3.42 % (384138)Time elapsed: 0.295 s
% 17.15/3.42 % (384138)Peak memory usage: 92 MB
% 17.15/3.42 % (384138)Instructions burned: 308 (million)
% 17.15/3.42 % (384150)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=1071515143:i=141:doe=on:rtra=on_2981 on theBenchmark for (2981ds/141Mi)
% 17.15/3.42 % (384144)First to succeed.
% 17.15/3.42 % (384144)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-384042"
% 17.15/3.42 % (384150)Instruction limit reached!
% 17.15/3.42 % (384150)------------------------------
% 17.15/3.42 % (384150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384150)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384150)Termination reason: Instruction limit
% 17.15/3.42 % (384150)Termination phase: Saturation
% 17.15/3.42 % (384150)Time elapsed: 0.159 s
% 17.15/3.42 % (384150)Peak memory usage: 90 MB
% 17.15/3.42 % (384150)Instructions burned: 141 (million)
% 17.15/3.42 % (384152)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=4065323421:i=65:nm=16:rtra=on_2979 on theBenchmark for (2979ds/65Mi)
% 17.15/3.42 % (384149)Instruction limit reached!
% 17.15/3.42 % (384149)------------------------------
% 17.15/3.42 % (384149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384149)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384149)Termination reason: Instruction limit
% 17.15/3.42 % (384149)Termination phase: Saturation
% 17.15/3.42 % (384149)Time elapsed: 0.271 s
% 17.15/3.42 % (384149)Peak memory usage: 90 MB
% 17.15/3.42 % (384149)Instructions burned: 384 (million)
% 17.15/3.42 % (384155)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=124403079:i=121:nm=16:rtra=on_2978 on theBenchmark for (2978ds/121Mi)
% 17.15/3.42 % (384152)Instruction limit reached!
% 17.15/3.42 % (384152)------------------------------
% 17.15/3.42 % (384152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384152)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384152)Termination reason: Instruction limit
% 17.15/3.42 % (384152)Termination phase: Saturation
% 17.15/3.42 % (384152)Time elapsed: 0.091 s
% 17.15/3.42 % (384152)Peak memory usage: 116 MB
% 17.15/3.42 % (384152)Instructions burned: 65 (million)
% 17.15/3.42 % (384139)Instruction limit reached!
% 17.15/3.42 % (384139)------------------------------
% 17.15/3.42 % (384139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384139)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384139)Termination reason: Instruction limit
% 17.15/3.42 % (384139)Termination phase: Saturation
% 17.15/3.42 % (384139)Time elapsed: 0.642 s
% 17.15/3.42 % (384139)Peak memory usage: 138 MB
% 17.15/3.42 % (384139)Instructions burned: 598 (million)
% 17.15/3.42 % (384155)Instruction limit reached!
% 17.15/3.42 % (384155)------------------------------
% 17.15/3.42 % (384155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384155)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384155)Termination reason: Instruction limit
% 17.15/3.42 % (384155)Termination phase: Saturation
% 17.15/3.42 % (384155)Time elapsed: 0.125 s
% 17.15/3.42 % (384155)Peak memory usage: 89 MB
% 17.15/3.42 % (384155)Instructions burned: 122 (million)
% 17.15/3.42 % (384146)Instruction limit reached!
% 17.15/3.42 % (384146)------------------------------
% 17.15/3.42 % (384146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.42 % (384146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.42 % (384146)CaDiCaL version: 2.1.3
% 17.15/3.42 % (384146)Termination reason: Instruction limit
% 17.15/3.42 % (384146)Termination phase: Saturation
% 17.15/3.42 % (384146)Time elapsed: 0.491 s
% 17.15/3.42 % (384146)Peak memory usage: 93 MB
% 17.15/3.42 % (384146)Instructions burned: 1002 (million)
% 17.15/3.42 % (384158)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=581434788:s2a=on:i=128:s2at=5:ins=3:rtra=on_2976 on theBenchmark for (2976ds/128Mi)
% 17.15/3.42 % (384144)Refutation found. Thanks to Tanya!
% 17.15/3.42 % SZS status Theorem for theBenchmark
% 17.15/3.42 % SZS output start Proof for theBenchmark
% See solution above
% 19.03/3.69 % (384144)------------------------------
% 19.03/3.69 % (384144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.03/3.69 % (384144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.03/3.69 % (384144)CaDiCaL version: 2.1.3
% 19.03/3.69 % (384144)Termination reason: Refutation
% 19.03/3.69 % (384144)Time elapsed: 0.218 s
% 19.03/3.69 % (384144)Peak memory usage: 118 MB
% 19.03/3.69 % (384144)Instructions burned: 183 (million)
% 19.03/3.69 % (384144)------------------------------
% 19.03/3.69 % (384144)------------------------------
% 19.03/3.69 % (384042)Success in time 2.589 s
% 19.03/3.69 % Vampire exiting
%------------------------------------------------------------------------------