%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW626_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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:58 PM UTC 2026
% Result : Theorem 6.86s 1.81s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 104 ( 63 unt; 0 typ; 20 def)
% Number of atoms : 374 ( 80 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 402 ( 132 ~; 49 |; 140 &)
% ( 3 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 291 ( 64 atm; 62 fun; 158 num; 7 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 : 12 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 78 ( 71 usr; 43 con; 0-5 aty)
% Number of variables : 162 ( 0 sgn 144 !; 18 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
elt: $tType ).
tff(type_def_10,type,
list_elt: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
list: ty > ty ).
tff(func_def_13,type,
nil: ty > uni ).
tff(func_def_14,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
match_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_18,type,
length: ( ty * uni ) > $int ).
tff(func_def_21,type,
infix_plpl: ( ty * uni * uni ) > uni ).
tff(func_def_22,type,
num_occ: ( ty * uni * uni ) > $int ).
tff(func_def_23,type,
reverse: ( ty * uni ) > uni ).
tff(func_def_24,type,
elt1: ty ).
tff(func_def_25,type,
t2tb: list_elt > uni ).
tff(func_def_26,type,
tb2t: uni > list_elt ).
tff(func_def_27,type,
t2tb1: elt > uni ).
tff(func_def_28,type,
tb2t1: uni > elt ).
tff(func_def_29,type,
rev_append: ( ty * uni * uni ) > uni ).
tff(func_def_30,type,
prefix: ( ty * $int * uni ) > uni ).
tff(func_def_32,type,
abs: $int > $int ).
tff(func_def_34,type,
div: ( $int * $int ) > $int ).
tff(func_def_35,type,
mod: ( $int * $int ) > $int ).
tff(func_def_38,type,
sK0: list_elt > elt ).
tff(func_def_39,type,
sK1: list_elt > elt ).
tff(func_def_40,type,
sK2: list_elt > list_elt ).
tff(func_def_41,type,
sK3: list_elt > elt ).
tff(func_def_42,type,
sK4: $int ).
tff(func_def_43,type,
sK5: list_elt ).
tff(func_def_44,type,
sK6: list_elt ).
tff(func_def_45,type,
sK7: list_elt ).
tff(func_def_46,type,
sK8: list_elt ).
tff(func_def_47,type,
sK9: list_elt ).
tff(func_def_48,type,
sK10: ( ty * uni * uni ) > uni ).
tff(func_def_49,type,
sK11: ( ty * uni * uni ) > uni ).
tff(func_def_50,type,
sK12: ( list_elt * list_elt ) > elt ).
tff(func_def_51,type,
sK13: ( list_elt * list_elt ) > elt ).
tff(func_def_52,type,
sK14: ( list_elt * elt ) > elt ).
tff(func_def_53,type,
sK15: ( list_elt * elt ) > elt ).
tff(func_def_54,type,
sF16: uni ).
tff(func_def_55,type,
sF17: $int ).
tff(func_def_56,type,
sF18: $int ).
tff(func_def_57,type,
sF19: $int ).
tff(func_def_58,type,
sF20: $int ).
tff(func_def_59,type,
sF21: uni ).
tff(func_def_60,type,
sF22: $int ).
tff(func_def_61,type,
sF23: uni ).
tff(func_def_62,type,
sF24: uni ).
tff(func_def_63,type,
sF25: uni ).
tff(func_def_64,type,
sF26: uni ).
tff(func_def_65,type,
sF27: list_elt ).
tff(func_def_66,type,
sF28: uni ).
tff(func_def_67,type,
sF29: uni ).
tff(func_def_68,type,
sF30: uni ).
tff(func_def_69,type,
sF31: uni ).
tff(func_def_70,type,
sF32: uni ).
tff(func_def_71,type,
sF33: list_elt ).
tff(func_def_72,type,
sF34: uni ).
tff(func_def_73,type,
sF35: uni ).
tff(func_def_74,type,
sF36: uni ).
tff(func_def_75,type,
sF37: list_elt ).
tff(func_def_76,type,
sF38: list_elt ).
tff(func_def_77,type,
sF39: uni ).
tff(func_def_78,type,
sF40: list_elt ).
tff(func_def_79,type,
-1: $int > $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
permut: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
le: ( elt * elt ) > $o ).
tff(pred_def_7,type,
sorted: list_elt > $o ).
tff(f26,axiom,
! [X0: ty,X1: uni] : ( infix_plpl(X0,X1,nil(X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',append_l_nil) ).
tff(f44,axiom,
! [X2: uni,X0: ty,X1: uni] :
( permut(X0,X1,X2)
=> permut(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',permut_sym) ).
tff(f45,axiom,
! [X3: uni,X2: uni,X0: ty,X1: uni] :
( permut(X0,X1,X2)
=> ( permut(X0,X2,X3)
=> permut(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',permut_trans) ).
tff(f50,axiom,
! [X1: uni,X4: uni,X3: uni,X0: ty,X2: uni] :
( permut(X0,X1,X3)
=> ( permut(X0,X2,X4)
=> permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',permut_append) ).
tff(f51,axiom,
! [X0: ty,X2: uni,X1: uni] : permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',permut_append_swap) ).
tff(f59,axiom,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR) ).
tff(f101,conjecture,
! [X0: $int,X1: list_elt] :
( ( $lesseq(2,X0)
& $lesseq(X0,length(elt1,t2tb(X1))) )
=> ( ( X0 != 2 )
=> ( ( X0 != 3 )
=> ( ( 2 != 0 )
=> ( ( $lesseq(0,div(X0,2))
& $lesseq(div(X0,2),length(elt1,t2tb(X1))) )
=> ! [X2: list_elt] :
( ( X1 = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),t2tb(X2))) )
=> ( ( tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),prefix(elt1,$difference(X0,div(X0,2)),t2tb(X2)))) = tb2t(prefix(elt1,X0,t2tb(X1))) )
=> ( ( $lesseq(div(X0,2),length(elt1,t2tb(X1)))
& $lesseq(2,div(X0,2)) )
=> ! [X3: list_elt] :
( ( sorted(X3)
& permut(elt1,t2tb(X3),prefix(elt1,div(X0,2),t2tb(X1))) )
=> ( ( $lesseq($difference(X0,div(X0,2)),length(elt1,t2tb(X2)))
& $lesseq(2,$difference(X0,div(X0,2))) )
=> ! [X4: list_elt] :
( ( sorted(X4)
& permut(elt1,t2tb(X4),prefix(elt1,$difference(X0,div(X0,2)),t2tb(X2))) )
=> ( ( sorted(X4)
& sorted(X3)
& ! [X6: elt,X5: elt] :
( mem(elt1,t2tb1(X5),nil(elt1))
=> ( mem(elt1,t2tb1(X6),t2tb(X4))
=> le(X5,X6) ) )
& sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X5: elt,X6: elt] :
( mem(elt1,t2tb1(X5),nil(elt1))
=> ( mem(elt1,t2tb1(X6),t2tb(X3))
=> le(X5,X6) ) ) )
=> ! [X7: list_elt] :
( ( sorted(tb2t(reverse(elt1,t2tb(X7))))
& permut(elt1,t2tb(X7),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(X3)),t2tb(X4))) )
=> permut(elt1,t2tb(X7),prefix(elt1,X0,t2tb(X1))) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_sort) ).
tff(f102,negated_conjecture,
~ ! [X0: $int,X1: list_elt] :
( ( $lesseq(2,X0)
& $lesseq(X0,length(elt1,t2tb(X1))) )
=> ( ( X0 != 2 )
=> ( ( X0 != 3 )
=> ( ( 2 != 0 )
=> ( ( $lesseq(0,div(X0,2))
& $lesseq(div(X0,2),length(elt1,t2tb(X1))) )
=> ! [X2: list_elt] :
( ( X1 = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),t2tb(X2))) )
=> ( ( tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),prefix(elt1,$difference(X0,div(X0,2)),t2tb(X2)))) = tb2t(prefix(elt1,X0,t2tb(X1))) )
=> ( ( $lesseq(div(X0,2),length(elt1,t2tb(X1)))
& $lesseq(2,div(X0,2)) )
=> ! [X3: list_elt] :
( ( sorted(X3)
& permut(elt1,t2tb(X3),prefix(elt1,div(X0,2),t2tb(X1))) )
=> ( ( $lesseq($difference(X0,div(X0,2)),length(elt1,t2tb(X2)))
& $lesseq(2,$difference(X0,div(X0,2))) )
=> ! [X4: list_elt] :
( ( sorted(X4)
& permut(elt1,t2tb(X4),prefix(elt1,$difference(X0,div(X0,2)),t2tb(X2))) )
=> ( ( sorted(X4)
& sorted(X3)
& ! [X6: elt,X5: elt] :
( mem(elt1,t2tb1(X5),nil(elt1))
=> ( mem(elt1,t2tb1(X6),t2tb(X4))
=> le(X5,X6) ) )
& sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X5: elt,X6: elt] :
( mem(elt1,t2tb1(X5),nil(elt1))
=> ( mem(elt1,t2tb1(X6),t2tb(X3))
=> le(X5,X6) ) ) )
=> ! [X7: list_elt] :
( ( sorted(tb2t(reverse(elt1,t2tb(X7))))
& permut(elt1,t2tb(X7),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(X3)),t2tb(X4))) )
=> permut(elt1,t2tb(X7),prefix(elt1,X0,t2tb(X1))) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f101]) ).
tff(f118,plain,
~ ! [X0: $int,X1: list_elt] :
( ( ~ $less(length(elt1,t2tb(X1)),X0)
& ~ $less(X0,2) )
=> ( ( X0 != 2 )
=> ( ( X0 != 3 )
=> ( ( 2 != 0 )
=> ( ( ~ $less(div(X0,2),0)
& ~ $less(length(elt1,t2tb(X1)),div(X0,2)) )
=> ! [X2: list_elt] :
( ( X1 = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),t2tb(X2))) )
=> ( ( tb2t(prefix(elt1,X0,t2tb(X1))) = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))) )
=> ( ( ~ $less(length(elt1,t2tb(X1)),div(X0,2))
& ~ $less(div(X0,2),2) )
=> ! [X3: list_elt] :
( ( sorted(X3)
& permut(elt1,t2tb(X3),prefix(elt1,div(X0,2),t2tb(X1))) )
=> ( ( ~ $less(length(elt1,t2tb(X2)),$sum(X0,$uminus(div(X0,2))))
& ~ $less($sum(X0,$uminus(div(X0,2))),2) )
=> ! [X4: list_elt] :
( ( permut(elt1,t2tb(X4),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))
& sorted(X4) )
=> ( ( sorted(X4)
& sorted(X3)
& ! [X6: elt,X5: elt] :
( mem(elt1,t2tb1(X5),nil(elt1))
=> ( mem(elt1,t2tb1(X6),t2tb(X4))
=> le(X5,X6) ) )
& sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X5: elt,X6: elt] :
( mem(elt1,t2tb1(X5),nil(elt1))
=> ( mem(elt1,t2tb1(X6),t2tb(X3))
=> le(X5,X6) ) ) )
=> ! [X7: list_elt] :
( ( sorted(tb2t(reverse(elt1,t2tb(X7))))
& permut(elt1,t2tb(X7),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(X3)),t2tb(X4))) )
=> permut(elt1,t2tb(X7),prefix(elt1,X0,t2tb(X1))) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f102]) ).
tff(f122,plain,
~ ! [X0: $int,X1: list_elt] :
( ( ~ $less(length(elt1,t2tb(X1)),X0)
& ~ $less(X0,2) )
=> ( ( X0 != 2 )
=> ( ( X0 != 3 )
=> ( ( 2 != 0 )
=> ( ( ~ $less(div(X0,2),0)
& ~ $less(length(elt1,t2tb(X1)),div(X0,2)) )
=> ! [X2: list_elt] :
( ( X1 = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),t2tb(X2))) )
=> ( ( tb2t(prefix(elt1,X0,t2tb(X1))) = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))) )
=> ( ( ~ $less(length(elt1,t2tb(X1)),div(X0,2))
& ~ $less(div(X0,2),2) )
=> ! [X3: list_elt] :
( ( sorted(X3)
& permut(elt1,t2tb(X3),prefix(elt1,div(X0,2),t2tb(X1))) )
=> ( ( ~ $less(length(elt1,t2tb(X2)),$sum(X0,$uminus(div(X0,2))))
& ~ $less($sum(X0,$uminus(div(X0,2))),2) )
=> ! [X4: list_elt] :
( ( permut(elt1,t2tb(X4),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))
& sorted(X4) )
=> ( ( sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X6: elt,X5: elt] :
( mem(elt1,t2tb1(X6),nil(elt1))
=> ( mem(elt1,t2tb1(X5),t2tb(X4))
=> le(X6,X5) ) )
& sorted(X4)
& sorted(X3)
& ! [X7: elt,X8: elt] :
( mem(elt1,t2tb1(X7),nil(elt1))
=> ( mem(elt1,t2tb1(X8),t2tb(X3))
=> le(X7,X8) ) ) )
=> ! [X9: list_elt] :
( ( permut(elt1,t2tb(X9),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(X3)),t2tb(X4)))
& sorted(tb2t(reverse(elt1,t2tb(X9)))) )
=> permut(elt1,t2tb(X9),prefix(elt1,X0,t2tb(X1))) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f118]) ).
tff(f127,plain,
! [X1: ty,X2: uni,X0: uni] :
( permut(X1,X2,X0)
=> permut(X1,X0,X2) ),
inference(rectify,[],[f44]) ).
tff(f129,plain,
! [X2: uni,X0: ty,X1: uni] : permut(X0,infix_plpl(X0,X2,X1),infix_plpl(X0,X1,X2)),
inference(rectify,[],[f51]) ).
tff(f132,plain,
! [X4: uni,X3: ty,X0: uni,X1: uni,X2: uni] :
( permut(X3,X0,X2)
=> ( permut(X3,X4,X1)
=> permut(X3,infix_plpl(X3,X0,X4),infix_plpl(X3,X2,X1)) ) ),
inference(rectify,[],[f50]) ).
tff(f133,plain,
! [X1: uni,X2: ty,X3: uni,X0: uni] :
( permut(X2,X3,X1)
=> ( permut(X2,X1,X0)
=> permut(X2,X3,X0) ) ),
inference(rectify,[],[f45]) ).
tff(f165,plain,
! [X1: ty,X2: uni,X0: uni] :
( permut(X1,X0,X2)
| ~ permut(X1,X2,X0) ),
inference(ennf_transformation,[],[f127]) ).
tff(f169,plain,
! [X1: uni,X2: ty,X3: uni,X0: uni] :
( permut(X2,X3,X0)
| ~ permut(X2,X1,X0)
| ~ permut(X2,X3,X1) ),
inference(ennf_transformation,[],[f133]) ).
tff(f170,plain,
! [X0: uni,X1: uni,X2: ty,X3: uni] :
( ~ permut(X2,X3,X1)
| permut(X2,X3,X0)
| ~ permut(X2,X1,X0) ),
inference(flattening,[],[f169]) ).
tff(f174,plain,
! [X4: uni,X3: ty,X0: uni,X1: uni,X2: uni] :
( permut(X3,infix_plpl(X3,X0,X4),infix_plpl(X3,X2,X1))
| ~ permut(X3,X4,X1)
| ~ permut(X3,X0,X2) ),
inference(ennf_transformation,[],[f132]) ).
tff(f175,plain,
! [X0: uni,X1: uni,X4: uni,X3: ty,X2: uni] :
( ~ permut(X3,X0,X2)
| permut(X3,infix_plpl(X3,X0,X4),infix_plpl(X3,X2,X1))
| ~ permut(X3,X4,X1) ),
inference(flattening,[],[f174]) ).
tff(f193,plain,
? [X0: $int,X1: list_elt] :
( ? [X2: list_elt] :
( ? [X3: list_elt] :
( ? [X4: list_elt] :
( ? [X9: list_elt] :
( ~ permut(elt1,t2tb(X9),prefix(elt1,X0,t2tb(X1)))
& permut(elt1,t2tb(X9),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(X3)),t2tb(X4)))
& sorted(tb2t(reverse(elt1,t2tb(X9)))) )
& sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X6: elt,X5: elt] :
( le(X6,X5)
| ~ mem(elt1,t2tb1(X5),t2tb(X4))
| ~ mem(elt1,t2tb1(X6),nil(elt1)) )
& sorted(X4)
& sorted(X3)
& ! [X7: elt,X8: elt] :
( le(X7,X8)
| ~ mem(elt1,t2tb1(X8),t2tb(X3))
| ~ mem(elt1,t2tb1(X7),nil(elt1)) )
& permut(elt1,t2tb(X4),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))
& sorted(X4) )
& ~ $less(length(elt1,t2tb(X2)),$sum(X0,$uminus(div(X0,2))))
& ~ $less($sum(X0,$uminus(div(X0,2))),2)
& sorted(X3)
& permut(elt1,t2tb(X3),prefix(elt1,div(X0,2),t2tb(X1))) )
& ~ $less(length(elt1,t2tb(X1)),div(X0,2))
& ~ $less(div(X0,2),2)
& ( tb2t(prefix(elt1,X0,t2tb(X1))) = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))) )
& ( X1 = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),t2tb(X2))) ) )
& ~ $less(div(X0,2),0)
& ~ $less(length(elt1,t2tb(X1)),div(X0,2))
& ( 2 != 0 )
& ( X0 != 3 )
& ( X0 != 2 )
& ~ $less(length(elt1,t2tb(X1)),X0)
& ~ $less(X0,2) ),
inference(ennf_transformation,[],[f122]) ).
tff(f194,plain,
? [X0: $int,X1: list_elt] :
( ~ $less(length(elt1,t2tb(X1)),X0)
& ~ $less(div(X0,2),0)
& ( 2 != 0 )
& ? [X2: list_elt] :
( ? [X3: list_elt] :
( ~ $less($sum(X0,$uminus(div(X0,2))),2)
& ~ $less(length(elt1,t2tb(X2)),$sum(X0,$uminus(div(X0,2))))
& permut(elt1,t2tb(X3),prefix(elt1,div(X0,2),t2tb(X1)))
& ? [X4: list_elt] :
( sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X8: elt,X7: elt] :
( ~ mem(elt1,t2tb1(X8),t2tb(X3))
| le(X7,X8)
| ~ mem(elt1,t2tb1(X7),nil(elt1)) )
& sorted(X4)
& ? [X9: list_elt] :
( permut(elt1,t2tb(X9),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(X3)),t2tb(X4)))
& sorted(tb2t(reverse(elt1,t2tb(X9))))
& ~ permut(elt1,t2tb(X9),prefix(elt1,X0,t2tb(X1))) )
& ! [X5: elt,X6: elt] :
( le(X6,X5)
| ~ mem(elt1,t2tb1(X6),nil(elt1))
| ~ mem(elt1,t2tb1(X5),t2tb(X4)) )
& permut(elt1,t2tb(X4),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))
& sorted(X4)
& sorted(X3) )
& sorted(X3) )
& ( X1 = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),t2tb(X2))) )
& ~ $less(div(X0,2),2)
& ( tb2t(prefix(elt1,X0,t2tb(X1))) = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))) )
& ~ $less(length(elt1,t2tb(X1)),div(X0,2)) )
& ( X0 != 3 )
& ~ $less(X0,2)
& ( X0 != 2 )
& ~ $less(length(elt1,t2tb(X1)),div(X0,2)) ),
inference(flattening,[],[f193]) ).
tff(f201,plain,
! [X0: uni,X1: ty,X2: uni] : permut(X1,infix_plpl(X1,X0,X2),infix_plpl(X1,X2,X0)),
inference(rectify,[],[f129]) ).
tff(f214,plain,
! [X0: ty,X1: uni,X2: uni] :
( permut(X0,X2,X1)
| ~ permut(X0,X1,X2) ),
inference(rectify,[],[f165]) ).
tff(f215,plain,
? [X0: $int,X1: list_elt] :
( ~ $less(length(elt1,t2tb(X1)),X0)
& ~ $less(div(X0,2),0)
& ( 2 != 0 )
& ? [X2: list_elt] :
( ? [X3: list_elt] :
( ~ $less($sum(X0,$uminus(div(X0,2))),2)
& ~ $less(length(elt1,t2tb(X2)),$sum(X0,$uminus(div(X0,2))))
& permut(elt1,t2tb(X3),prefix(elt1,div(X0,2),t2tb(X1)))
& ? [X4: list_elt] :
( sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X5: elt,X6: elt] :
( ~ mem(elt1,t2tb1(X5),t2tb(X3))
| le(X6,X5)
| ~ mem(elt1,t2tb1(X6),nil(elt1)) )
& sorted(X4)
& ? [X7: list_elt] :
( permut(elt1,t2tb(X7),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(X3)),t2tb(X4)))
& sorted(tb2t(reverse(elt1,t2tb(X7))))
& ~ permut(elt1,t2tb(X7),prefix(elt1,X0,t2tb(X1))) )
& ! [X8: elt,X9: elt] :
( le(X9,X8)
| ~ mem(elt1,t2tb1(X9),nil(elt1))
| ~ mem(elt1,t2tb1(X8),t2tb(X4)) )
& permut(elt1,t2tb(X4),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))
& sorted(X4)
& sorted(X3) )
& sorted(X3) )
& ( X1 = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),t2tb(X2))) )
& ~ $less(div(X0,2),2)
& ( tb2t(prefix(elt1,X0,t2tb(X1))) = tb2t(infix_plpl(elt1,prefix(elt1,div(X0,2),t2tb(X1)),prefix(elt1,$sum(X0,$uminus(div(X0,2))),t2tb(X2)))) )
& ~ $less(length(elt1,t2tb(X1)),div(X0,2)) )
& ( X0 != 3 )
& ~ $less(X0,2)
& ( X0 != 2 )
& ~ $less(length(elt1,t2tb(X1)),div(X0,2)) ),
inference(rectify,[],[f194]) ).
tff(f216,plain,
( ~ $less(length(elt1,t2tb(sK5)),sK4)
& ~ $less(div(sK4,2),0)
& ( 2 != 0 )
& ~ $less($sum(sK4,$uminus(div(sK4,2))),2)
& ~ $less(length(elt1,t2tb(sK6)),$sum(sK4,$uminus(div(sK4,2))))
& permut(elt1,t2tb(sK7),prefix(elt1,div(sK4,2),t2tb(sK5)))
& sorted(tb2t(reverse(elt1,nil(elt1))))
& ! [X5: elt,X6: elt] :
( ~ mem(elt1,t2tb1(X5),t2tb(sK7))
| le(X6,X5)
| ~ mem(elt1,t2tb1(X6),nil(elt1)) )
& sorted(sK8)
& permut(elt1,t2tb(sK9),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(sK7)),t2tb(sK8)))
& sorted(tb2t(reverse(elt1,t2tb(sK9))))
& ~ permut(elt1,t2tb(sK9),prefix(elt1,sK4,t2tb(sK5)))
& ! [X8: elt,X9: elt] :
( le(X9,X8)
| ~ mem(elt1,t2tb1(X9),nil(elt1))
| ~ mem(elt1,t2tb1(X8),t2tb(sK8)) )
& permut(elt1,t2tb(sK8),prefix(elt1,$sum(sK4,$uminus(div(sK4,2))),t2tb(sK6)))
& sorted(sK8)
& sorted(sK7)
& sorted(sK7)
& ( tb2t(infix_plpl(elt1,prefix(elt1,div(sK4,2),t2tb(sK5)),t2tb(sK6))) = sK5 )
& ~ $less(div(sK4,2),2)
& ( tb2t(prefix(elt1,sK4,t2tb(sK5))) = tb2t(infix_plpl(elt1,prefix(elt1,div(sK4,2),t2tb(sK5)),prefix(elt1,$sum(sK4,$uminus(div(sK4,2))),t2tb(sK6)))) )
& ~ $less(length(elt1,t2tb(sK5)),div(sK4,2))
& ( 3 != sK4 )
& ~ $less(sK4,2)
& ( 2 != sK4 )
& ~ $less(length(elt1,t2tb(sK5)),div(sK4,2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7),skolemize(X4,sK8),skolemize(X7,sK9)],[f215]) ).
tff(f217,plain,
! [X0: uni,X1: uni,X2: uni,X3: ty,X4: uni] :
( ~ permut(X3,X0,X4)
| permut(X3,infix_plpl(X3,X0,X2),infix_plpl(X3,X4,X1))
| ~ permut(X3,X2,X1) ),
inference(rectify,[],[f175]) ).
tff(f256,plain,
! [X2: ty,X3: uni,X0: uni,X1: uni] :
( ~ permut(X2,X3,X1)
| permut(X2,X3,X0)
| ~ permut(X2,X1,X0) ),
inference(cnf_transformation,[],[f170]) ).
tff(f263,plain,
! [X2: uni,X0: uni,X1: ty] : permut(X1,infix_plpl(X1,X0,X2),infix_plpl(X1,X2,X0)),
inference(cnf_transformation,[],[f201]) ).
tff(f267,plain,
! [X0: ty,X1: uni] : ( infix_plpl(X0,X1,nil(X0)) = X1 ),
inference(cnf_transformation,[],[f26]) ).
tff(f272,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f59]) ).
tff(f283,plain,
! [X2: uni,X0: ty,X1: uni] :
( ~ permut(X0,X1,X2)
| permut(X0,X2,X1) ),
inference(cnf_transformation,[],[f214]) ).
tff(f290,plain,
tb2t(prefix(elt1,sK4,t2tb(sK5))) = tb2t(infix_plpl(elt1,prefix(elt1,div(sK4,2),t2tb(sK5)),prefix(elt1,$sum(sK4,$uminus(div(sK4,2))),t2tb(sK6)))),
inference(cnf_transformation,[],[f216]) ).
tff(f296,plain,
permut(elt1,t2tb(sK8),prefix(elt1,$sum(sK4,$uminus(div(sK4,2))),t2tb(sK6))),
inference(cnf_transformation,[],[f216]) ).
tff(f298,plain,
~ permut(elt1,t2tb(sK9),prefix(elt1,sK4,t2tb(sK5))),
inference(cnf_transformation,[],[f216]) ).
tff(f300,plain,
permut(elt1,t2tb(sK9),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb(sK7)),t2tb(sK8))),
inference(cnf_transformation,[],[f216]) ).
tff(f304,plain,
permut(elt1,t2tb(sK7),prefix(elt1,div(sK4,2),t2tb(sK5))),
inference(cnf_transformation,[],[f216]) ).
tff(f310,plain,
! [X2: uni,X3: ty,X0: uni,X1: uni,X4: uni] :
( permut(X3,infix_plpl(X3,X0,X2),infix_plpl(X3,X4,X1))
| ~ permut(X3,X0,X4)
| ~ permut(X3,X2,X1) ),
inference(cnf_transformation,[],[f217]) ).
tff(f355,definition,
sF16 = t2tb(sK5),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
tff(f356,plain,
t2tb(sK5) = sF16,
inference(reorient_equations,[],[f355]) ).
tff(f359,definition,
sF18 = div(sK4,2),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
tff(f360,plain,
div(sK4,2) = sF18,
inference(reorient_equations,[],[f359]) ).
tff(f362,definition,
sF19 = $uminus(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
tff(f363,definition,
sF20 = $sum(sK4,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
tff(f365,definition,
sF21 = t2tb(sK6),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
tff(f366,plain,
t2tb(sK6) = sF21,
inference(reorient_equations,[],[f365]) ).
tff(f370,definition,
sF23 = t2tb(sK7),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
tff(f371,plain,
t2tb(sK7) = sF23,
inference(reorient_equations,[],[f370]) ).
tff(f372,definition,
sF24 = prefix(elt1,sF18,sF16),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
tff(f373,plain,
prefix(elt1,sF18,sF16) = sF24,
inference(reorient_equations,[],[f372]) ).
tff(f374,plain,
permut(elt1,sF23,sF24),
inference(definition_folding,[],[f304,f373,f356,f360,f371]) ).
tff(f375,definition,
sF25 = nil(elt1),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
tff(f376,plain,
nil(elt1) = sF25,
inference(reorient_equations,[],[f375]) ).
tff(f381,definition,
sF28 = t2tb(sK9),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
tff(f382,definition,
sF29 = infix_plpl(elt1,sF25,sF23),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
tff(f383,definition,
sF30 = t2tb(sK8),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
tff(f384,definition,
sF31 = infix_plpl(elt1,sF29,sF30),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
tff(f385,plain,
infix_plpl(elt1,sF29,sF30) = sF31,
inference(reorient_equations,[],[f384]) ).
tff(f386,plain,
permut(elt1,sF28,sF31),
inference(definition_folding,[],[f300,f385,f383,f382,f371,f376,f381]) ).
tff(f392,definition,
sF34 = prefix(elt1,sK4,sF16),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
tff(f393,plain,
prefix(elt1,sK4,sF16) = sF34,
inference(reorient_equations,[],[f392]) ).
tff(f394,plain,
~ permut(elt1,sF28,sF34),
inference(definition_folding,[],[f298,f393,f356,f381]) ).
tff(f396,definition,
sF35 = prefix(elt1,sF20,sF21),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
tff(f397,plain,
prefix(elt1,sF20,sF21) = sF35,
inference(reorient_equations,[],[f396]) ).
tff(f398,plain,
permut(elt1,sF30,sF35),
inference(definition_folding,[],[f296,f397,f366,f363,f362,f360,f383]) ).
tff(f404,definition,
sF38 = tb2t(sF34),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
tff(f405,plain,
tb2t(sF34) = sF38,
inference(reorient_equations,[],[f404]) ).
tff(f406,definition,
sF39 = infix_plpl(elt1,sF24,sF35),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
tff(f407,plain,
infix_plpl(elt1,sF24,sF35) = sF39,
inference(reorient_equations,[],[f406]) ).
tff(f408,definition,
sF40 = tb2t(sF39),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
tff(f409,plain,
sF40 = sF38,
inference(definition_folding,[],[f290,f408,f407,f397,f366,f363,f362,f360,f373,f356,f360,f405,f393,f356]) ).
tff(f416,plain,
sF40 = tb2t(sF34),
inference(forward_demodulation,[],[f405,f409]) ).
tff(f424,plain,
t2tb(sF40) = sF34,
inference(superposition,[],[f272,f416]) ).
tff(f426,plain,
t2tb(sF40) = sF39,
inference(superposition,[],[f272,f408]) ).
tff(f450,plain,
sF34 = sF39,
inference(forward_demodulation,[],[f426,f424]) ).
tff(f453,plain,
infix_plpl(elt1,sF24,sF35) = sF34,
inference(forward_demodulation,[],[f407,f450]) ).
tff(f463,plain,
! [X0: uni] : ( infix_plpl(elt1,X0,sF25) = X0 ),
inference(superposition,[],[f267,f376]) ).
tff(f472,plain,
permut(elt1,sF24,sF23),
inference(resolution,[],[f283,f374]) ).
tff(f523,plain,
permut(elt1,infix_plpl(elt1,sF23,sF25),sF29),
inference(superposition,[],[f263,f382]) ).
tff(f810,plain,
! [X0: uni] :
( ~ permut(elt1,sF23,X0)
| permut(elt1,sF24,X0) ),
inference(resolution,[],[f256,f472]) ).
tff(f811,plain,
! [X0: uni] :
( ~ permut(elt1,sF31,X0)
| permut(elt1,sF28,X0) ),
inference(resolution,[],[f256,f386]) ).
tff(f1129,plain,
! [X0: uni,X1: uni] :
( permut(elt1,infix_plpl(elt1,X0,X1),sF34)
| ~ permut(elt1,X1,sF35)
| ~ permut(elt1,X0,sF24) ),
inference(superposition,[],[f310,f453]) ).
tff(f1790,definition,
( spl41_100
<=> permut(elt1,sF24,sF29) ),
introduced(definition,[new_symbols(definition,[spl41_100])],[avatar_definition]) ).
tff(f1791,plain,
( permut(elt1,sF24,sF29)
| ~ spl41_100 ),
inference(avatar_component_clause,[],[f1790]) ).
tff(f1904,definition,
( spl41_116
<=> permut(elt1,sF29,sF24) ),
introduced(definition,[new_symbols(definition,[spl41_116])],[avatar_definition]) ).
tff(f1932,plain,
( permut(elt1,sF31,sF34)
| ~ permut(elt1,sF29,sF24)
| ~ permut(elt1,sF30,sF35) ),
inference(superposition,[],[f1129,f385]) ).
tff(f1940,plain,
( permut(elt1,sF31,sF34)
| ~ permut(elt1,sF29,sF24) ),
inference(forward_subsumption_resolution,[],[f1932,f398]) ).
tff(f1948,definition,
( spl41_119
<=> permut(elt1,sF31,sF34) ),
introduced(definition,[new_symbols(definition,[spl41_119])],[avatar_definition]) ).
tff(f1950,plain,
( permut(elt1,sF31,sF34)
| ~ spl41_119 ),
inference(avatar_component_clause,[],[f1948]) ).
tff(f1951,plain,
( spl41_119
| ~ spl41_116 ),
inference(avatar_split_clause,[],[f1940,f1904,f1948]) ).
tff(f2655,plain,
permut(elt1,sF23,sF29),
inference(forward_demodulation,[],[f523,f463]) ).
tff(f2656,plain,
permut(elt1,sF24,sF29),
inference(resolution,[],[f2655,f810]) ).
tff(f2662,plain,
spl41_100,
inference(avatar_split_clause,[],[f2656,f1790]) ).
tff(f2666,plain,
( permut(elt1,sF29,sF24)
| ~ spl41_100 ),
inference(resolution,[],[f1791,f283]) ).
tff(f2669,plain,
( spl41_116
| ~ spl41_100 ),
inference(avatar_split_clause,[],[f2666,f1790,f1904]) ).
tff(f2702,plain,
( permut(elt1,sF28,sF34)
| ~ spl41_119 ),
inference(resolution,[],[f1950,f811]) ).
tff(f2706,plain,
( $false
| ~ spl41_119 ),
inference(forward_subsumption_resolution,[],[f2702,f394]) ).
tff(f2707,plain,
~ spl41_119,
inference(avatar_contradiction_clause,[],[f2706]) ).
cnf(s97,plain,
( ~ spl41_116
| spl41_119 ),
inference(sat_conversion,[],[f1951]) ).
cnf(s187,plain,
spl41_100,
inference(sat_conversion,[],[f2662]) ).
cnf(s189,plain,
( ~ spl41_100
| spl41_116 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s195,plain,
~ spl41_119,
inference(sat_conversion,[],[f2707]) ).
cnf(s197,plain,
spl41_116,
inference(rat,[],[s189,s187]) ).
cnf(s198,plain,
$false,
inference(rat,[],[s97,s195,s197]) ).
tff(f2708,plain,
$false,
inference(avatar_sat_refutation,[],[s198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW626_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:20:55 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 4.24/1.45 % (2414954)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.24/1.45 % (2415047)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1773537243:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.24/1.45 % (2415047)Instruction limit reached!
% 4.24/1.45 % (2415047)------------------------------
% 4.24/1.45 % (2415047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.45 % (2415047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.45 % (2415047)CaDiCaL version: 2.1.3
% 4.24/1.45 % (2415047)Termination reason: Instruction limit
% 4.24/1.45 % (2415047)Termination phase: Saturation
% 4.24/1.45 % (2415047)Time elapsed: 0.032 s
% 4.24/1.45 % (2415047)Peak memory usage: 116 MB
% 4.24/1.45 % (2415047)Instructions burned: 47 (million)
% 4.24/1.45 % (2415044)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1064882442:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.24/1.45 % (2415045)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2901645814:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.24/1.45 % (2415041)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3941038630:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.24/1.45 % (2415046)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=125454043:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.24/1.45 % (2415046)Instruction limit reached!
% 4.24/1.45 % (2415046)------------------------------
% 4.24/1.45 % (2415046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.45 % (2415046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.45 % (2415046)CaDiCaL version: 2.1.3
% 4.24/1.45 % (2415046)Termination reason: Instruction limit
% 4.24/1.45 % (2415046)Termination phase: Preprocessing 3
% 4.24/1.45 % (2415046)Time elapsed: 0.004 s
% 4.24/1.45 % (2415046)Peak memory usage: 85 MB
% 4.24/1.45 % (2415046)Instructions burned: 4 (million)
% 4.24/1.45 % (2415045)Instruction limit reached!
% 4.24/1.45 % (2415045)------------------------------
% 4.24/1.45 % (2415045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.45 % (2415045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.45 % (2415045)CaDiCaL version: 2.1.3
% 4.24/1.45 % (2415045)Termination reason: Instruction limit
% 4.24/1.45 % (2415045)Termination phase: Function definition elimination
% 4.24/1.45 % (2415045)Time elapsed: 0.005 s
% 4.24/1.45 % (2415045)Peak memory usage: 86 MB
% 4.24/1.45 % (2415045)Instructions burned: 8 (million)
% 4.24/1.45 % (2415043)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3866843744:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.24/1.45 % (2415041)Instruction limit reached!
% 4.24/1.45 % (2415041)------------------------------
% 4.24/1.45 % (2415041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.45 % (2415041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.45 % (2415041)CaDiCaL version: 2.1.3
% 4.24/1.45 % (2415041)Termination reason: Instruction limit
% 4.24/1.45 % (2415041)Termination phase: Saturation
% 4.24/1.45 % (2415041)Time elapsed: 0.015 s
% 4.24/1.45 % (2415041)Peak memory usage: 95 MB
% 4.24/1.45 % (2415041)Instructions burned: 12 (million)
% 4.24/1.45 % (2415048)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2759701351:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.24/1.45 % (2415048)Instruction limit reached!
% 4.24/1.45 % (2415048)------------------------------
% 4.24/1.45 % (2415048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.45 % (2415048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.45 % (2415048)CaDiCaL version: 2.1.3
% 4.24/1.45 % (2415048)Termination reason: Instruction limit
% 4.24/1.45 % (2415048)Termination phase: Saturation
% 4.24/1.45 % (2415048)Time elapsed: 0.044 s
% 4.24/1.45 % (2415048)Peak memory usage: 116 MB
% 4.24/1.45 % (2415048)Instructions burned: 34 (million)
% 4.24/1.45 % (2415084)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3824106205:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.24/1.45 % (2415084)Instruction limit reached!
% 4.24/1.45 % (2415084)------------------------------
% 5.83/1.76 % (2415084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.76 % (2415084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.76 % (2415084)CaDiCaL version: 2.1.3
% 5.83/1.76 % (2415084)Termination reason: Instruction limit
% 5.83/1.76 % (2415084)Termination phase: Saturation
% 5.83/1.76 % (2415084)Time elapsed: 0.009 s
% 5.83/1.76 % (2415084)Peak memory usage: 88 MB
% 5.83/1.76 % (2415084)Instructions burned: 14 (million)
% 5.83/1.76 % (2415095)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3027008686:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 5.83/1.76 % (2415088)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=3858461762:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 5.83/1.76 % (2415089)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=290205562:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 5.83/1.76 % (2415044)Instruction limit reached!
% 5.83/1.76 % (2415044)------------------------------
% 5.83/1.76 % (2415044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.76 % (2415044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.76 % (2415044)CaDiCaL version: 2.1.3
% 5.83/1.76 % (2415044)Termination reason: Instruction limit
% 5.83/1.76 % (2415044)Termination phase: Saturation
% 5.83/1.76 % (2415044)Time elapsed: 0.217 s
% 5.83/1.76 % (2415044)Peak memory usage: 118 MB
% 5.83/1.76 % (2415044)Instructions burned: 201 (million)
% 5.83/1.76 % (2415089)Instruction limit reached!
% 5.83/1.76 % (2415089)------------------------------
% 5.83/1.76 % (2415089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.76 % (2415089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.76 % (2415089)CaDiCaL version: 2.1.3
% 5.83/1.76 % (2415089)Termination reason: Instruction limit
% 5.83/1.76 % (2415089)Termination phase: Saturation
% 5.83/1.76 % (2415089)Time elapsed: 0.016 s
% 5.83/1.76 % (2415089)Peak memory usage: 89 MB
% 5.83/1.76 % (2415089)Instructions burned: 16 (million)
% 5.83/1.76 % (2415095)Instruction limit reached!
% 5.83/1.76 % (2415095)------------------------------
% 5.83/1.76 % (2415095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.76 % (2415095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.76 % (2415095)CaDiCaL version: 2.1.3
% 5.83/1.76 % (2415095)Termination reason: Instruction limit
% 5.83/1.76 % (2415095)Termination phase: Saturation
% 5.83/1.76 % (2415095)Time elapsed: 0.029 s
% 5.83/1.76 % (2415095)Peak memory usage: 89 MB
% 5.83/1.76 % (2415095)Instructions burned: 24 (million)
% 5.83/1.76 % (2415088)Instruction limit reached!
% 5.83/1.76 % (2415088)------------------------------
% 5.83/1.76 % (2415088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.76 % (2415088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.76 % (2415088)CaDiCaL version: 2.1.3
% 5.83/1.76 % (2415088)Termination reason: Instruction limit
% 5.83/1.76 % (2415088)Termination phase: Saturation
% 5.83/1.76 % (2415088)Time elapsed: 0.025 s
% 5.83/1.76 % (2415088)Peak memory usage: 89 MB
% 5.83/1.76 % (2415088)Instructions burned: 29 (million)
% 5.83/1.76 % (2415103)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=273111872:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 5.83/1.76 % (2415103)Instruction limit reached!
% 5.83/1.76 % (2415103)------------------------------
% 5.83/1.76 % (2415103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.76 % (2415103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.76 % (2415103)CaDiCaL version: 2.1.3
% 5.83/1.76 % (2415103)Termination reason: Instruction limit
% 5.83/1.76 % (2415103)Termination phase: Saturation
% 5.83/1.76 % (2415103)Time elapsed: 0.030 s
% 5.83/1.76 % (2415103)Peak memory usage: 89 MB
% 5.83/1.76 % (2415103)Instructions burned: 27 (million)
% 5.83/1.76 % (2415043)Instruction limit reached!
% 5.83/1.76 % (2415043)------------------------------
% 5.83/1.76 % (2415043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.76 % (2415043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415043)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415043)Termination reason: Instruction limit
% 6.86/1.81 % (2415043)Termination phase: Saturation
% 6.86/1.81 % (2415043)Time elapsed: 0.341 s
% 6.86/1.81 % (2415043)Peak memory usage: 118 MB
% 6.86/1.81 % (2415043)Instructions burned: 307 (million)
% 6.86/1.81 % (2415123)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1399104066:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 6.86/1.81 % (2415123)Instruction limit reached!
% 6.86/1.81 % (2415123)------------------------------
% 6.86/1.81 % (2415123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415123)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415123)Termination reason: Instruction limit
% 6.86/1.81 % (2415123)Termination phase: Saturation
% 6.86/1.81 % (2415123)Time elapsed: 0.042 s
% 6.86/1.81 % (2415123)Peak memory usage: 89 MB
% 6.86/1.81 % (2415123)Instructions burned: 87 (million)
% 6.86/1.81 % (2415138)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2193511690:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 6.86/1.81 % (2415134)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3079639815:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 6.86/1.81 % (2415135)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3360862146:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 6.86/1.81 % (2415137)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3969097317:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 6.86/1.81 % (2415134)Instruction limit reached!
% 6.86/1.81 % (2415134)------------------------------
% 6.86/1.81 % (2415134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415134)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415134)Termination reason: Instruction limit
% 6.86/1.81 % (2415134)Termination phase: Property scanning
% 6.86/1.81 % (2415134)Time elapsed: 0.002 s
% 6.86/1.81 % (2415134)Peak memory usage: 85 MB
% 6.86/1.81 % (2415134)Instructions burned: 2 (million)
% 6.86/1.81 % (2415137)Instruction limit reached!
% 6.86/1.81 % (2415137)------------------------------
% 6.86/1.81 % (2415137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415137)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415137)Termination reason: Instruction limit
% 6.86/1.81 % (2415137)Termination phase: shuffling
% 6.86/1.81 % (2415137)Time elapsed: 0.004 s
% 6.86/1.81 % (2415137)Peak memory usage: 85 MB
% 6.86/1.81 % (2415137)Instructions burned: 4 (million)
% 6.86/1.81 % (2415138)Instruction limit reached!
% 6.86/1.81 % (2415138)------------------------------
% 6.86/1.81 % (2415138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415138)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415138)Termination reason: Instruction limit
% 6.86/1.81 % (2415138)Termination phase: Saturation
% 6.86/1.81 % (2415138)Time elapsed: 0.075 s
% 6.86/1.81 % (2415138)Peak memory usage: 134 MB
% 6.86/1.81 % (2415138)Instructions burned: 66 (million)
% 6.86/1.81 % (2415135)First to succeed.
% 6.86/1.81 % (2415135)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2414954"
% 6.86/1.81 % (2415154)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3996214436:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 6.86/1.81 % (2415154)Instruction limit reached!
% 6.86/1.81 % (2415154)------------------------------
% 6.86/1.81 % (2415154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415154)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415154)Termination reason: Instruction limit
% 6.86/1.81 % (2415154)Termination phase: SInE selection
% 6.86/1.81 % (2415154)Time elapsed: 0.003 s
% 6.86/1.81 % (2415154)Peak memory usage: 85 MB
% 6.86/1.81 % (2415154)Instructions burned: 2 (million)
% 6.86/1.81 % (2415146)lrs+10_1_thi=all:si=on:fd=off:random_seed=903698555:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 6.86/1.81 % (2415150)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=1346312495:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 6.86/1.81 % (2415150)Instruction limit reached!
% 6.86/1.81 % (2415150)------------------------------
% 6.86/1.81 % (2415150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415150)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415150)Termination reason: Instruction limit
% 6.86/1.81 % (2415150)Termination phase: Property scanning
% 6.86/1.81 % (2415150)Time elapsed: 0.009 s
% 6.86/1.81 % (2415150)Peak memory usage: 86 MB
% 6.86/1.81 % (2415150)Instructions burned: 8 (million)
% 6.86/1.81 % (2415146)Instruction limit reached!
% 6.86/1.81 % (2415146)------------------------------
% 6.86/1.81 % (2415146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415146)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415146)Termination reason: Instruction limit
% 6.86/1.81 % (2415146)Termination phase: Saturation
% 6.86/1.81 % (2415146)Time elapsed: 0.096 s
% 6.86/1.81 % (2415146)Peak memory usage: 116 MB
% 6.86/1.81 % (2415146)Instructions burned: 53 (million)
% 6.86/1.81 % (2415160)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3219975098:i=2:doe=on:canc=force:asg=cautious:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 6.86/1.81 % (2415161)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2634564287:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 6.86/1.81 % (2415160)Instruction limit reached!
% 6.86/1.81 % (2415160)------------------------------
% 6.86/1.81 % (2415160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415160)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415160)Termination reason: Instruction limit
% 6.86/1.81 % (2415160)Termination phase: Property scanning
% 6.86/1.81 % (2415160)Time elapsed: 0.003 s
% 6.86/1.81 % (2415160)Peak memory usage: 85 MB
% 6.86/1.81 % (2415160)Instructions burned: 2 (million)
% 6.86/1.81 % (2415162)dis+10_1_si=on:random_seed=864720947:i=10:ep=R:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 6.86/1.81 % (2415162)Instruction limit reached!
% 6.86/1.81 % (2415162)------------------------------
% 6.86/1.81 % (2415162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415162)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415162)Termination reason: Instruction limit
% 6.86/1.81 % (2415162)Termination phase: Property scanning
% 6.86/1.81 % (2415162)Time elapsed: 0.006 s
% 6.86/1.81 % (2415162)Peak memory usage: 87 MB
% 6.86/1.81 % (2415162)Instructions burned: 10 (million)
% 6.86/1.81 % (2415166)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2051247188:i=26:canc=cautious:av=off:rtra=on_2992 on theBenchmark for (2992ds/26Mi)
% 6.86/1.81 % (2415166)Instruction limit reached!
% 6.86/1.81 % (2415166)------------------------------
% 6.86/1.81 % (2415166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415166)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415166)Termination reason: Instruction limit
% 6.86/1.81 % (2415166)Termination phase: Saturation
% 6.86/1.81 % (2415166)Time elapsed: 0.029 s
% 6.86/1.81 % (2415166)Peak memory usage: 89 MB
% 6.86/1.81 % (2415166)Instructions burned: 26 (million)
% 6.86/1.81 % (2415167)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=889292812: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_2992 on theBenchmark for (2992ds/35Mi)
% 6.86/1.81 % (2415161)Instruction limit reached!
% 6.86/1.81 % (2415161)------------------------------
% 6.86/1.81 % (2415161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415161)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415161)Termination reason: Instruction limit
% 6.86/1.81 % (2415161)Termination phase: Saturation
% 6.86/1.81 % (2415161)Time elapsed: 0.173 s
% 6.86/1.81 % (2415161)Peak memory usage: 117 MB
% 6.86/1.81 % (2415161)Instructions burned: 128 (million)
% 6.86/1.81 % (2415167)Instruction limit reached!
% 6.86/1.81 % (2415167)------------------------------
% 6.86/1.81 % (2415167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415167)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415167)Termination reason: Instruction limit
% 6.86/1.81 % (2415167)Termination phase: Saturation
% 6.86/1.81 % (2415167)Time elapsed: 0.041 s
% 6.86/1.81 % (2415167)Peak memory usage: 89 MB
% 6.86/1.81 % (2415167)Instructions burned: 35 (million)
% 6.86/1.81 % (2415168)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=216486001:i=2:fsr=off:rtra=on:inst=on_2991 on theBenchmark for (2991ds/2Mi)
% 6.86/1.81 % (2415168)Instruction limit reached!
% 6.86/1.81 % (2415168)------------------------------
% 6.86/1.81 % (2415168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.81 % (2415168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.81 % (2415168)CaDiCaL version: 2.1.3
% 6.86/1.81 % (2415168)Termination reason: Instruction limit
% 6.86/1.81 % (2415168)Termination phase: Preprocessing 1
% 6.86/1.81 % (2415168)Time elapsed: 0.003 s
% 6.86/1.81 % (2415168)Peak memory usage: 85 MB
% 6.86/1.81 % (2415168)Instructions burned: 3 (million)
% 6.86/1.81 % (2415135)Refutation found. Thanks to Tanya!
% 6.86/1.81 % SZS status Theorem for theBenchmark
% 6.86/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.15 % (2415135)------------------------------
% 0.20/2.15 % (2415135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.15 % (2415135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.15 % (2415135)CaDiCaL version: 2.1.3
% 0.20/2.15 % (2415135)Termination reason: Refutation
% 0.20/2.15 % (2415135)Time elapsed: 0.106 s
% 0.20/2.15 % (2415135)Peak memory usage: 92 MB
% 0.20/2.15 % (2415135)Instructions burned: 88 (million)
% 0.20/2.15 % (2415135)------------------------------
% 0.20/2.15 % (2415135)------------------------------
% 0.20/2.15 % (2414954)Success in time 1.129 s
% 0.20/2.15 % Vampire exiting
%------------------------------------------------------------------------------