TSTP Solution File: SWW619_2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW619_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:08:53 EDT 2022
% Result : Theorem 1.65s 0.57s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 84
% Syntax : Number of formulae : 106 ( 10 unt; 76 typ; 0 def)
% Number of atoms : 232 ( 25 equ)
% Maximal formula atoms : 30 ( 7 avg)
% Number of connectives : 293 ( 91 ~; 45 |; 122 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 479 ( 145 atm; 179 fun; 83 num; 72 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 166 ( 53 >; 113 *; 0 +; 0 <<)
% Number of predicates : 21 ( 17 usr; 4 prp; 0-7 aty)
% Number of functors : 59 ( 55 usr; 18 con; 0-7 aty)
% Number of variables : 102 ( 56 !; 46 ?; 102 :)
% 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,
elt4: $tType ).
tff(type_def_10,type,
array_elt2: $tType ).
tff(type_def_11,type,
map_int_elt2: $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,
map: ( ty * ty ) > ty ).
tff(func_def_13,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_14,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_15,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_16,type,
array: ty > ty ).
tff(func_def_17,type,
mk_array1: ( ty * $int * uni ) > uni ).
tff(func_def_18,type,
length1: ( ty * uni ) > $int ).
tff(func_def_19,type,
elts: ( ty * uni ) > uni ).
tff(func_def_20,type,
get2: ( ty * uni * $int ) > uni ).
tff(func_def_21,type,
t2tb: $int > uni ).
tff(func_def_22,type,
tb2t: uni > $int ).
tff(func_def_23,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(func_def_24,type,
make1: ( ty * $int * uni ) > uni ).
tff(func_def_25,type,
elt5: ty ).
tff(func_def_26,type,
t2tb7: elt4 > uni ).
tff(func_def_27,type,
tb2t7: uni > elt4 ).
tff(func_def_28,type,
t2tb8: array_elt2 > uni ).
tff(func_def_29,type,
tb2t8: uni > array_elt2 ).
tff(func_def_30,type,
ref: ty > ty ).
tff(func_def_31,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_32,type,
contents: ( ty * uni ) > uni ).
tff(func_def_33,type,
occ1: ( ty * uni * uni * $int * $int ) > $int ).
tff(func_def_37,type,
abs: $int > $int ).
tff(func_def_39,type,
div: ( $int * $int ) > $int ).
tff(func_def_40,type,
mod: ( $int * $int ) > $int ).
tff(func_def_41,type,
min: ( $int * $int ) > $int ).
tff(func_def_42,type,
max: ( $int * $int ) > $int ).
tff(func_def_43,type,
t2tb9: map_int_elt2 > uni ).
tff(func_def_44,type,
tb2t9: uni > map_int_elt2 ).
tff(func_def_45,type,
sK1: ( uni * $int * ty * uni * $int ) > $int ).
tff(func_def_46,type,
sK2: ( $int * uni * ty * $int * uni ) > $int ).
tff(func_def_47,type,
sK3: ( ty * $int * uni * $int * uni ) > $int ).
tff(func_def_48,type,
sK4: ( uni * $int * $int * ty * uni ) > uni ).
tff(func_def_49,type,
sK5: ( $int * $int * $int * $int * uni * ty * uni ) > $int ).
tff(func_def_50,type,
sK6: map_int_elt2 ).
tff(func_def_51,type,
sK7: $int ).
tff(func_def_52,type,
sK8: $int ).
tff(func_def_53,type,
sK9: map_int_elt2 ).
tff(func_def_54,type,
sK10: map_int_elt2 ).
tff(func_def_55,type,
sK11: $int ).
tff(func_def_56,type,
sK12: $int ).
tff(func_def_57,type,
sK13: ( $int * $int * uni * $int * ty * uni ) > $int ).
tff(func_def_58,type,
sK14: ( array_elt2 * $int * $int ) > $int ).
tff(func_def_59,type,
sK15: ( array_elt2 * $int * $int ) > $int ).
tff(func_def_60,type,
sK16: ( uni * uni * $int * $int * ty ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
le3: ( elt4 * elt4 ) > $o ).
tff(pred_def_4,type,
sorted_sub3: ( array_elt2 * $int * $int ) > $o ).
tff(pred_def_6,type,
sorted3: array_elt2 > $o ).
tff(pred_def_7,type,
permut2: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_8,type,
map_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_9,type,
array_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_10,type,
array_eq: ( ty * uni * uni ) > $o ).
tff(pred_def_11,type,
exchange2: ( ty * uni * uni * $int * $int * $int * $int ) > $o ).
tff(pred_def_12,type,
exchange3: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_13,type,
permut3: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_14,type,
permut_sub1: ( ty * uni * uni * $int * $int ) > $o ).
tff(pred_def_15,type,
permut_all: ( ty * uni * uni ) > $o ).
tff(pred_def_16,type,
sP0: ( $int * $int * $int * $int * uni * ty * uni ) > $o ).
tff(f653,plain,
$false,
inference(avatar_sat_refutation,[],[f607,f611,f619,f652]) ).
tff(f652,plain,
( ~ spl17_2
| spl17_3
| spl17_5 ),
inference(avatar_split_clause,[],[f650,f617,f609,f605]) ).
tff(f605,plain,
( spl17_2
<=> $less($product(sK12,sK11),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
tff(f609,plain,
( spl17_3
<=> $less($product(sK12,sK11),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
tff(f617,plain,
( spl17_5
<=> sorted_sub3(tb2t8(mk_array1(elt5,sK8,t2tb9(sK10))),$product(sK12,sK11),min(sK8,$sum($product(sK12,sK11),sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
tff(f650,plain,
( $less($product(sK12,sK11),0)
| ~ $less($product(sK12,sK11),sK8)
| spl17_5 ),
inference(resolution,[],[f591,f618]) ).
tff(f618,plain,
( ~ sorted_sub3(tb2t8(mk_array1(elt5,sK8,t2tb9(sK10))),$product(sK12,sK11),min(sK8,$sum($product(sK12,sK11),sK11)))
| spl17_5 ),
inference(avatar_component_clause,[],[f617]) ).
tff(f591,plain,
! [X7: $int] :
( sorted_sub3(tb2t8(mk_array1(elt5,sK8,t2tb9(sK10))),$product(X7,sK11),min(sK8,$sum($product(X7,sK11),sK11)))
| ~ $less($product(X7,sK11),sK8)
| $less($product(X7,sK11),0) ),
inference(definition_unfolding,[],[f518,f515,f515,f515]) ).
tff(f515,plain,
sK7 = sK8,
inference(cnf_transformation,[],[f399]) ).
tff(f399,plain,
( ~ $less(sK7,0)
& $less($product(sK12,sK11),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(sK12,sK11),min(sK7,$sum($product(sK12,sK11),sK11)))
& ~ $less($product(sK12,sK11),0)
& ~ $less(sK11,1)
& permut_all(elt5,mk_array1(elt5,sK7,t2tb9(sK6)),mk_array1(elt5,sK7,t2tb9(sK10)))
& $less(sK11,sK7)
& ! [X7: $int] :
( $less($product(X7,sK11),0)
| sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(X7,sK11),min(sK7,$sum($product(X7,sK11),sK11)))
| ~ $less($product(X7,sK11),sK7) )
& ! [X8: $int] :
( ~ $less(X8,sK8)
| $less(X8,0)
| ( tb2t7(get(elt5,int,t2tb9(sK9),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK6),t2tb(X8))) ) )
& ~ $less(sK8,0)
& ( sK7 = sK8 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f394,f398,f397,f396,f395]) ).
tff(f395,plain,
( ? [X0: map_int_elt2,X1: $int] :
( ~ $less(X1,0)
& ? [X2: $int,X3: map_int_elt2] :
( ? [X4: map_int_elt2,X5: $int] :
( ? [X6: $int] :
( $less($product(X6,X5),X1)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X4))),$product(X6,X5),min(X1,$sum($product(X6,X5),X5)))
& ~ $less($product(X6,X5),0) )
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,X1,t2tb9(X0)),mk_array1(elt5,X1,t2tb9(X4)))
& $less(X5,X1)
& ! [X7: $int] :
( $less($product(X7,X5),0)
| sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X4))),$product(X7,X5),min(X1,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),X1) ) )
& ! [X8: $int] :
( ~ $less(X8,X2)
| $less(X8,0)
| ( tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X0),t2tb(X8))) ) )
& ~ $less(X2,0)
& ( X1 = X2 ) ) )
=> ( ~ $less(sK7,0)
& ? [X3: map_int_elt2,X2: $int] :
( ? [X5: $int,X4: map_int_elt2] :
( ? [X6: $int] :
( $less($product(X6,X5),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X6,X5),min(sK7,$sum($product(X6,X5),X5)))
& ~ $less($product(X6,X5),0) )
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,sK7,t2tb9(sK6)),mk_array1(elt5,sK7,t2tb9(X4)))
& $less(X5,sK7)
& ! [X7: $int] :
( $less($product(X7,X5),0)
| sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X7,X5),min(sK7,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),sK7) ) )
& ! [X8: $int] :
( ~ $less(X8,X2)
| $less(X8,0)
| ( tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK6),t2tb(X8))) ) )
& ~ $less(X2,0)
& ( sK7 = X2 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f396,plain,
( ? [X3: map_int_elt2,X2: $int] :
( ? [X5: $int,X4: map_int_elt2] :
( ? [X6: $int] :
( $less($product(X6,X5),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X6,X5),min(sK7,$sum($product(X6,X5),X5)))
& ~ $less($product(X6,X5),0) )
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,sK7,t2tb9(sK6)),mk_array1(elt5,sK7,t2tb9(X4)))
& $less(X5,sK7)
& ! [X7: $int] :
( $less($product(X7,X5),0)
| sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X7,X5),min(sK7,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),sK7) ) )
& ! [X8: $int] :
( ~ $less(X8,X2)
| $less(X8,0)
| ( tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK6),t2tb(X8))) ) )
& ~ $less(X2,0)
& ( sK7 = X2 ) )
=> ( ? [X5: $int,X4: map_int_elt2] :
( ? [X6: $int] :
( $less($product(X6,X5),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X6,X5),min(sK7,$sum($product(X6,X5),X5)))
& ~ $less($product(X6,X5),0) )
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,sK7,t2tb9(sK6)),mk_array1(elt5,sK7,t2tb9(X4)))
& $less(X5,sK7)
& ! [X7: $int] :
( $less($product(X7,X5),0)
| sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X7,X5),min(sK7,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),sK7) ) )
& ! [X8: $int] :
( ~ $less(X8,sK8)
| $less(X8,0)
| ( tb2t7(get(elt5,int,t2tb9(sK9),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK6),t2tb(X8))) ) )
& ~ $less(sK8,0)
& ( sK7 = sK8 ) ) ),
introduced(choice_axiom,[]) ).
tff(f397,plain,
( ? [X5: $int,X4: map_int_elt2] :
( ? [X6: $int] :
( $less($product(X6,X5),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X6,X5),min(sK7,$sum($product(X6,X5),X5)))
& ~ $less($product(X6,X5),0) )
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,sK7,t2tb9(sK6)),mk_array1(elt5,sK7,t2tb9(X4)))
& $less(X5,sK7)
& ! [X7: $int] :
( $less($product(X7,X5),0)
| sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(X4))),$product(X7,X5),min(sK7,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),sK7) ) )
=> ( ? [X6: $int] :
( $less($product(X6,sK11),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(X6,sK11),min(sK7,$sum($product(X6,sK11),sK11)))
& ~ $less($product(X6,sK11),0) )
& ~ $less(sK11,1)
& permut_all(elt5,mk_array1(elt5,sK7,t2tb9(sK6)),mk_array1(elt5,sK7,t2tb9(sK10)))
& $less(sK11,sK7)
& ! [X7: $int] :
( $less($product(X7,sK11),0)
| sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(X7,sK11),min(sK7,$sum($product(X7,sK11),sK11)))
| ~ $less($product(X7,sK11),sK7) ) ) ),
introduced(choice_axiom,[]) ).
tff(f398,plain,
( ? [X6: $int] :
( $less($product(X6,sK11),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(X6,sK11),min(sK7,$sum($product(X6,sK11),sK11)))
& ~ $less($product(X6,sK11),0) )
=> ( $less($product(sK12,sK11),sK7)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(sK12,sK11),min(sK7,$sum($product(sK12,sK11),sK11)))
& ~ $less($product(sK12,sK11),0) ) ),
introduced(choice_axiom,[]) ).
tff(f394,plain,
? [X0: map_int_elt2,X1: $int] :
( ~ $less(X1,0)
& ? [X2: $int,X3: map_int_elt2] :
( ? [X4: map_int_elt2,X5: $int] :
( ? [X6: $int] :
( $less($product(X6,X5),X1)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X4))),$product(X6,X5),min(X1,$sum($product(X6,X5),X5)))
& ~ $less($product(X6,X5),0) )
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,X1,t2tb9(X0)),mk_array1(elt5,X1,t2tb9(X4)))
& $less(X5,X1)
& ! [X7: $int] :
( $less($product(X7,X5),0)
| sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X4))),$product(X7,X5),min(X1,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),X1) ) )
& ! [X8: $int] :
( ~ $less(X8,X2)
| $less(X8,0)
| ( tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X0),t2tb(X8))) ) )
& ~ $less(X2,0)
& ( X1 = X2 ) ) ),
inference(rectify,[],[f289]) ).
tff(f289,plain,
? [X0: map_int_elt2,X1: $int] :
( ~ $less(X1,0)
& ? [X3: $int,X2: map_int_elt2] :
( ? [X6: map_int_elt2,X5: $int] :
( ? [X8: $int] :
( $less($product(X8,X5),X1)
& ~ sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X6))),$product(X8,X5),min(X1,$sum($product(X8,X5),X5)))
& ~ $less($product(X8,X5),0) )
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,X1,t2tb9(X0)),mk_array1(elt5,X1,t2tb9(X6)))
& $less(X5,X1)
& ! [X7: $int] :
( $less($product(X7,X5),0)
| sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X6))),$product(X7,X5),min(X1,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),X1) ) )
& ! [X4: $int] :
( ~ $less(X4,X3)
| $less(X4,0)
| ( tb2t7(get(elt5,int,t2tb9(X2),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X0),t2tb(X4))) ) )
& ~ $less(X3,0)
& ( X1 = X3 ) ) ),
inference(flattening,[],[f288]) ).
tff(f288,plain,
? [X1: $int,X0: map_int_elt2] :
( ? [X2: map_int_elt2,X3: $int] :
( ? [X5: $int,X6: map_int_elt2] :
( ? [X8: $int] :
( ~ sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X6))),$product(X8,X5),min(X1,$sum($product(X8,X5),X5)))
& ~ $less($product(X8,X5),0)
& $less($product(X8,X5),X1) )
& $less(X5,X1)
& ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,X1,t2tb9(X0)),mk_array1(elt5,X1,t2tb9(X6)))
& ! [X7: $int] :
( sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X6))),$product(X7,X5),min(X1,$sum($product(X7,X5),X5)))
| ~ $less($product(X7,X5),X1)
| $less($product(X7,X5),0) ) )
& ! [X4: $int] :
( ( tb2t7(get(elt5,int,t2tb9(X2),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X0),t2tb(X4))) )
| $less(X4,0)
| ~ $less(X4,X3) )
& ( X1 = X3 )
& ~ $less(X3,0) )
& ~ $less(X1,0) ),
inference(ennf_transformation,[],[f184]) ).
tff(f184,plain,
~ ! [X1: $int,X0: map_int_elt2] :
( ~ $less(X1,0)
=> ! [X2: map_int_elt2,X3: $int] :
( ( ! [X4: $int] :
( ( ~ $less(X4,0)
& $less(X4,X3) )
=> ( tb2t7(get(elt5,int,t2tb9(X2),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X0),t2tb(X4))) ) )
& ( X1 = X3 )
& ~ $less(X3,0) )
=> ! [X5: $int,X6: map_int_elt2] :
( ( ~ $less(X5,1)
& permut_all(elt5,mk_array1(elt5,X1,t2tb9(X0)),mk_array1(elt5,X1,t2tb9(X6)))
& ! [X7: $int] :
( ( $less($product(X7,X5),X1)
& ~ $less($product(X7,X5),0) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X6))),$product(X7,X5),min(X1,$sum($product(X7,X5),X5))) ) )
=> ( $less(X5,X1)
=> ! [X8: $int] :
( ( ~ $less($product(X8,X5),0)
& $less($product(X8,X5),X1) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X1,t2tb9(X6))),$product(X8,X5),min(X1,$sum($product(X8,X5),X5))) ) ) ) ) ),
inference(rectify,[],[f107]) ).
tff(f107,plain,
~ ! [X10: map_int_elt2,X0: $int] :
( ~ $less(X0,0)
=> ! [X30: map_int_elt2,X29: $int] :
( ( ( X0 = X29 )
& ~ $less(X29,0)
& ! [X14: $int] :
( ( ~ $less(X14,0)
& $less(X14,X29) )
=> ( tb2t7(get(elt5,int,t2tb9(X30),t2tb(X14))) = tb2t7(get(elt5,int,t2tb9(X10),t2tb(X14))) ) ) )
=> ! [X31: $int,X11: map_int_elt2] :
( ( ~ $less(X31,1)
& permut_all(elt5,mk_array1(elt5,X0,t2tb9(X10)),mk_array1(elt5,X0,t2tb9(X11)))
& ! [X25: $int] :
( ( $less($product(X25,X31),X0)
& ~ $less($product(X25,X31),0) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))) ) )
=> ( $less(X31,X0)
=> ! [X25: $int] :
( ( $less($product(X25,X31),X0)
& ~ $less($product(X25,X31),0) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))) ) ) ) ) ),
inference(theory_normalization,[],[f99]) ).
tff(f99,negated_conjecture,
~ ! [X10: map_int_elt2,X0: $int] :
( $lesseq(0,X0)
=> ! [X30: map_int_elt2,X29: $int] :
( ( ( X0 = X29 )
& $lesseq(0,X29)
& ! [X14: $int] :
( ( $lesseq(0,X14)
& $less(X14,X29) )
=> ( tb2t7(get(elt5,int,t2tb9(X30),t2tb(X14))) = tb2t7(get(elt5,int,t2tb9(X10),t2tb(X14))) ) ) )
=> ! [X31: $int,X11: map_int_elt2] :
( ( $lesseq(1,X31)
& permut_all(elt5,mk_array1(elt5,X0,t2tb9(X10)),mk_array1(elt5,X0,t2tb9(X11)))
& ! [X25: $int] :
( ( $less($product(X25,X31),X0)
& $lesseq(0,$product(X25,X31)) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))) ) )
=> ( $less(X31,X0)
=> ! [X25: $int] :
( ( $less($product(X25,X31),X0)
& $lesseq(0,$product(X25,X31)) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))) ) ) ) ) ),
inference(negated_conjecture,[],[f98]) ).
tff(f98,conjecture,
! [X10: map_int_elt2,X0: $int] :
( $lesseq(0,X0)
=> ! [X30: map_int_elt2,X29: $int] :
( ( ( X0 = X29 )
& $lesseq(0,X29)
& ! [X14: $int] :
( ( $lesseq(0,X14)
& $less(X14,X29) )
=> ( tb2t7(get(elt5,int,t2tb9(X30),t2tb(X14))) = tb2t7(get(elt5,int,t2tb9(X10),t2tb(X14))) ) ) )
=> ! [X31: $int,X11: map_int_elt2] :
( ( $lesseq(1,X31)
& permut_all(elt5,mk_array1(elt5,X0,t2tb9(X10)),mk_array1(elt5,X0,t2tb9(X11)))
& ! [X25: $int] :
( ( $less($product(X25,X31),X0)
& $lesseq(0,$product(X25,X31)) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))) ) )
=> ( $less(X31,X0)
=> ! [X25: $int] :
( ( $less($product(X25,X31),X0)
& $lesseq(0,$product(X25,X31)) )
=> sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_bottom_up_mergesort) ).
tff(f518,plain,
! [X7: $int] :
( $less($product(X7,sK11),0)
| sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(X7,sK11),min(sK7,$sum($product(X7,sK11),sK11)))
| ~ $less($product(X7,sK11),sK7) ),
inference(cnf_transformation,[],[f399]) ).
tff(f619,plain,
~ spl17_5,
inference(avatar_split_clause,[],[f588,f617]) ).
tff(f588,plain,
~ sorted_sub3(tb2t8(mk_array1(elt5,sK8,t2tb9(sK10))),$product(sK12,sK11),min(sK8,$sum($product(sK12,sK11),sK11))),
inference(definition_unfolding,[],[f523,f515,f515]) ).
tff(f523,plain,
~ sorted_sub3(tb2t8(mk_array1(elt5,sK7,t2tb9(sK10))),$product(sK12,sK11),min(sK7,$sum($product(sK12,sK11),sK11))),
inference(cnf_transformation,[],[f399]) ).
tff(f611,plain,
~ spl17_3,
inference(avatar_split_clause,[],[f522,f609]) ).
tff(f522,plain,
~ $less($product(sK12,sK11),0),
inference(cnf_transformation,[],[f399]) ).
tff(f607,plain,
spl17_2,
inference(avatar_split_clause,[],[f587,f605]) ).
tff(f587,plain,
$less($product(sK12,sK11),sK8),
inference(definition_unfolding,[],[f524,f515]) ).
tff(f524,plain,
$less($product(sK12,sK11),sK7),
inference(cnf_transformation,[],[f399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW619=2 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 20:57:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (5439)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.47 % (5447)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.47 % (5439)Instruction limit reached!
% 0.19/0.47 % (5439)------------------------------
% 0.19/0.47 % (5439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (5439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (5439)Termination reason: Unknown
% 0.19/0.47 % (5439)Termination phase: Property scanning
% 0.19/0.47
% 0.19/0.47 % (5439)Memory used [KB]: 1023
% 0.19/0.47 % (5439)Time elapsed: 0.003 s
% 0.19/0.47 % (5439)Instructions burned: 2 (million)
% 0.19/0.47 % (5439)------------------------------
% 0.19/0.47 % (5439)------------------------------
% 0.19/0.48 % (5447)Instruction limit reached!
% 0.19/0.48 % (5447)------------------------------
% 0.19/0.48 % (5447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (5447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (5447)Termination reason: Unknown
% 0.19/0.48 % (5447)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (5447)Memory used [KB]: 1407
% 0.19/0.48 % (5447)Time elapsed: 0.014 s
% 0.19/0.48 % (5447)Instructions burned: 15 (million)
% 0.19/0.48 % (5447)------------------------------
% 0.19/0.48 % (5447)------------------------------
% 0.19/0.51 % (5455)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.51 % (5428)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.52 % (5449)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.52 % (5446)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (5431)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (5443)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (5443)Instruction limit reached!
% 0.19/0.52 % (5443)------------------------------
% 0.19/0.52 % (5443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5443)Termination reason: Unknown
% 0.19/0.52 % (5443)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (5443)Memory used [KB]: 1023
% 0.19/0.52 % (5443)Time elapsed: 0.002 s
% 0.19/0.52 % (5443)Instructions burned: 2 (million)
% 0.19/0.52 % (5443)------------------------------
% 0.19/0.52 % (5443)------------------------------
% 0.19/0.52 % (5441)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (5432)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (5454)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.53 % (5452)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.53 % (5440)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.53 % (5427)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.19/0.53 % (5430)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (5430)Instruction limit reached!
% 0.19/0.53 % (5430)------------------------------
% 0.19/0.53 % (5430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5430)Termination reason: Unknown
% 0.19/0.53 % (5430)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (5430)Memory used [KB]: 1023
% 0.19/0.53 % (5430)Time elapsed: 0.003 s
% 0.19/0.53 % (5430)Instructions burned: 3 (million)
% 0.19/0.53 % (5430)------------------------------
% 0.19/0.53 % (5430)------------------------------
% 0.19/0.53 % (5450)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (5437)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.53 % (5435)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.19/0.54 % (5455)Instruction limit reached!
% 0.19/0.54 % (5455)------------------------------
% 0.19/0.54 % (5455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5455)Termination reason: Unknown
% 0.19/0.54 % (5455)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (5455)Memory used [KB]: 6012
% 0.19/0.54 % (5455)Time elapsed: 0.139 s
% 0.19/0.54 % (5455)Instructions burned: 21 (million)
% 0.19/0.54 % (5455)------------------------------
% 0.19/0.54 % (5455)------------------------------
% 0.19/0.54 % (5438)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.54 % (5445)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.54 % (5433)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.19/0.54 % (5438)Instruction limit reached!
% 0.19/0.54 % (5438)------------------------------
% 0.19/0.54 % (5438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5438)Termination reason: Unknown
% 0.19/0.54 % (5438)Termination phase: SInE selection
% 0.19/0.54
% 0.19/0.54 % (5438)Memory used [KB]: 1023
% 0.19/0.54 % (5438)Time elapsed: 0.004 s
% 0.19/0.54 % (5438)Instructions burned: 6 (million)
% 0.19/0.54 % (5438)------------------------------
% 0.19/0.54 % (5438)------------------------------
% 0.19/0.54 % (5451)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.19/0.54 % (5446)Instruction limit reached!
% 0.19/0.54 % (5446)------------------------------
% 0.19/0.54 % (5446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (5446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (5446)Termination reason: Unknown
% 0.19/0.54 % (5446)Termination phase: shuffling
% 0.19/0.54
% 0.19/0.54 % (5446)Memory used [KB]: 1023
% 0.19/0.54 % (5446)Time elapsed: 0.002 s
% 0.19/0.54 % (5446)Instructions burned: 2 (million)
% 0.19/0.54 % (5446)------------------------------
% 0.19/0.54 % (5446)------------------------------
% 0.19/0.54 % (5456)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.19/0.54 % (5448)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.54/0.54 % (5445)Instruction limit reached!
% 1.54/0.54 % (5445)------------------------------
% 1.54/0.54 % (5445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.54 % (5432)Instruction limit reached!
% 1.54/0.54 % (5432)------------------------------
% 1.54/0.54 % (5432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.54 % (5434)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 1.54/0.55 % (5454)Instruction limit reached!
% 1.54/0.55 % (5454)------------------------------
% 1.54/0.55 % (5454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (5454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (5454)Termination reason: Unknown
% 1.54/0.55 % (5454)Termination phase: Saturation
% 1.54/0.55
% 1.54/0.55 % (5454)Memory used [KB]: 6012
% 1.54/0.55 % (5454)Time elapsed: 0.148 s
% 1.54/0.55 % (5454)Instructions burned: 21 (million)
% 1.54/0.55 % (5454)------------------------------
% 1.54/0.55 % (5454)------------------------------
% 1.54/0.55 % (5442)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.55 % (5442)Instruction limit reached!
% 1.54/0.55 % (5442)------------------------------
% 1.54/0.55 % (5442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (5442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (5442)Termination reason: Unknown
% 1.54/0.56 % (5442)Termination phase: Property scanning
% 1.54/0.56
% 1.54/0.56 % (5442)Memory used [KB]: 1023
% 1.54/0.56 % (5442)Time elapsed: 0.004 s
% 1.54/0.56 % (5442)Instructions burned: 4 (million)
% 1.54/0.56 % (5442)------------------------------
% 1.54/0.56 % (5442)------------------------------
% 1.54/0.56 % (5440)Instruction limit reached!
% 1.54/0.56 % (5440)------------------------------
% 1.54/0.56 % (5440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (5432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (5432)Termination reason: Unknown
% 1.54/0.56 % (5432)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (5432)Memory used [KB]: 5884
% 1.54/0.56 % (5432)Time elapsed: 0.009 s
% 1.54/0.56 % (5432)Instructions burned: 16 (million)
% 1.54/0.56 % (5432)------------------------------
% 1.54/0.56 % (5432)------------------------------
% 1.54/0.56 % (5440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (5440)Termination reason: Unknown
% 1.54/0.56 % (5440)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (5440)Memory used [KB]: 6012
% 1.54/0.56 % (5440)Time elapsed: 0.163 s
% 1.54/0.56 % (5440)Instructions burned: 21 (million)
% 1.54/0.56 % (5440)------------------------------
% 1.54/0.56 % (5440)------------------------------
% 1.65/0.56 % (5448)Instruction limit reached!
% 1.65/0.56 % (5448)------------------------------
% 1.65/0.56 % (5448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56 % (5456)First to succeed.
% 1.65/0.56 % (5445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56 % (5445)Termination reason: Unknown
% 1.65/0.56 % (5445)Termination phase: Saturation
% 1.65/0.56
% 1.65/0.56 % (5445)Memory used [KB]: 5884
% 1.65/0.56 % (5445)Time elapsed: 0.008 s
% 1.65/0.56 % (5445)Instructions burned: 15 (million)
% 1.65/0.56 % (5445)------------------------------
% 1.65/0.56 % (5445)------------------------------
% 1.65/0.56 % (5435)Instruction limit reached!
% 1.65/0.56 % (5435)------------------------------
% 1.65/0.56 % (5435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56 % (5435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56 % (5435)Termination reason: Unknown
% 1.65/0.56 % (5435)Termination phase: Saturation
% 1.65/0.56
% 1.65/0.56 % (5435)Memory used [KB]: 6140
% 1.65/0.56 % (5435)Time elapsed: 0.166 s
% 1.65/0.56 % (5435)Instructions burned: 26 (million)
% 1.65/0.56 % (5435)------------------------------
% 1.65/0.56 % (5435)------------------------------
% 1.65/0.57 % (5457)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.65/0.57 % (5448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (5456)Refutation found. Thanks to Tanya!
% 1.65/0.57 % SZS status Theorem for theBenchmark
% 1.65/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.57 % (5456)------------------------------
% 1.65/0.57 % (5456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (5456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (5456)Termination reason: Refutation
% 1.65/0.57
% 1.65/0.57 % (5456)Memory used [KB]: 6012
% 1.65/0.57 % (5456)Time elapsed: 0.166 s
% 1.65/0.57 % (5456)Instructions burned: 19 (million)
% 1.65/0.57 % (5456)------------------------------
% 1.65/0.57 % (5456)------------------------------
% 1.65/0.57 % (5426)Success in time 0.222 s
%------------------------------------------------------------------------------