%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM332+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:12:11 PM UTC 2026
% Result : Theorem 66.31s 10.44s
% Output : Refutation 66.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 96 ( 44 unt; 1 def)
% Number of atoms : 220 ( 20 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 223 ( 99 ~; 92 |; 25 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn 154 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn2) ).
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn3) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5) ).
fof(f7,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn6) ).
fof(f10,axiom,
rdn_translate(n9,rdn_pos(rdnn(n9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn9) ).
fof(f12,axiom,
rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn11) ).
fof(f287,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_pos(X4))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X2,rdn_pos(X5)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
fof(f293,axiom,
! [X0,X1,X2,X3] :
( ( sum(X0,X1,X2)
& sum(X0,X1,X3) )
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_sum) ).
fof(f297,axiom,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
& rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f298,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
& rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
& rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_rdn) ).
fof(f312,axiom,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n0_n1_n0) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(f331,axiom,
rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n9_n1_n1) ).
fof(f338,axiom,
rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n6_n9_n0) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(f358,axiom,
rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n6_n1_n1) ).
fof(f392,axiom,
rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n0_n9_n0) ).
fof(f402,conjecture,
! [X0,X1,X2,X3] :
( ( sum(n2,n3,X0)
& sum(X0,n6,X1)
& sum(n3,n6,X2)
& sum(n2,X2,X3) )
=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_sum) ).
fof(f403,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( sum(n2,n3,X0)
& sum(X0,n6,X1)
& sum(n3,n6,X2)
& sum(n2,X2,X3) )
=> X1 = X3 ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f423,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(ennf_transformation,[],[f287]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(flattening,[],[f423]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3) ),
inference(ennf_transformation,[],[f293]) ).
fof(f436,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3) ),
inference(flattening,[],[f435]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(ennf_transformation,[],[f297]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(flattening,[],[f441]) ).
fof(f443,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1)))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
| ~ rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
| ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0)) ),
inference(ennf_transformation,[],[f298]) ).
fof(f444,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1)))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
| ~ rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
| ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0)) ),
inference(flattening,[],[f443]) ).
fof(f450,plain,
? [X0,X1,X2,X3] :
( X1 != X3
& sum(n2,n3,X0)
& sum(X0,n6,X1)
& sum(n3,n6,X2)
& sum(n2,X2,X3) ),
inference(ennf_transformation,[],[f403]) ).
fof(f451,plain,
? [X0,X1,X2,X3] :
( X1 != X3
& sum(n2,n3,X0)
& sum(X0,n6,X1)
& sum(n3,n6,X2)
& sum(n2,X2,X3) ),
inference(flattening,[],[f450]) ).
fof(f455,plain,
( sK1 != sK3
& sum(n2,n3,sK0)
& sum(sK0,n6,sK1)
& sum(n3,n6,sK2)
& sum(n2,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f451]) ).
fof(f458,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f459,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f461,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f462,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
inference(cnf_transformation,[],[f7]) ).
fof(f465,plain,
rdn_translate(n9,rdn_pos(rdnn(n9))),
inference(cnf_transformation,[],[f10]) ).
fof(f467,plain,
rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
inference(cnf_transformation,[],[f12]) ).
fof(f744,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(cnf_transformation,[],[f424]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f436]) ).
fof(f755,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(cnf_transformation,[],[f442]) ).
fof(f756,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdn(rdnn(X4),rdnn(n1)))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X5))
| ~ rdn_digit_add(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X6))
| ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0)) ),
inference(cnf_transformation,[],[f444]) ).
fof(f770,plain,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
inference(cnf_transformation,[],[f312]) ).
fof(f783,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f789,plain,
rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)),
inference(cnf_transformation,[],[f331]) ).
fof(f796,plain,
rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)),
inference(cnf_transformation,[],[f338]) ).
fof(f810,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f816,plain,
rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)),
inference(cnf_transformation,[],[f358]) ).
fof(f850,plain,
rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)),
inference(cnf_transformation,[],[f392]) ).
fof(f860,plain,
sum(n2,sK2,sK3),
inference(cnf_transformation,[],[f455]) ).
fof(f861,plain,
sum(n3,n6,sK2),
inference(cnf_transformation,[],[f455]) ).
fof(f862,plain,
sum(sK0,n6,sK1),
inference(cnf_transformation,[],[f455]) ).
fof(f863,plain,
sum(n2,n3,sK0),
inference(cnf_transformation,[],[f455]) ).
fof(f864,plain,
sK1 != sK3,
inference(cnf_transformation,[],[f455]) ).
fof(f867,plain,
! [X0] :
( ~ sum(n2,sK2,X0)
| sK3 = X0 ),
inference(resolution,[],[f860,f750]) ).
fof(f871,plain,
! [X0] :
( ~ sum(sK0,n6,X0)
| sK1 = X0 ),
inference(resolution,[],[f862,f750]) ).
fof(f874,plain,
! [X0] :
( ~ sum(n3,n6,X0)
| sK2 = X0 ),
inference(resolution,[],[f861,f750]) ).
fof(f877,plain,
! [X0] :
( ~ sum(n2,n3,X0)
| sK0 = X0 ),
inference(resolution,[],[f863,f750]) ).
fof(f922,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rdn_digit_add(rdnn(X3),rdnn(X5),rdnn(n1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X4),rdnn(X5))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_translate(X6,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X7,rdn_pos(rdnn(X1)))
| sum(X6,X7,X8)
| ~ rdn_translate(X8,rdn_pos(rdn(rdnn(X4),rdnn(n1)))) ),
inference(resolution,[],[f756,f744]) ).
fof(f1347,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n9),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n9)) ),
inference(resolution,[],[f850,f755]) ).
fof(f1349,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n6),rdnn(n9)),
inference(resolution,[],[f1347,f796]) ).
fof(f1355,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdnn(n9)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n6)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n3))) ),
inference(resolution,[],[f1349,f744]) ).
fof(f1462,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X0),rdnn(n1))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X2)))
| ~ rdn_translate(X5,rdn_pos(rdnn(X3)))
| sum(X4,X5,X6)
| ~ rdn_translate(X6,rdn_pos(rdn(rdnn(X1),rdnn(n1)))) ),
inference(resolution,[],[f770,f922]) ).
fof(f1615,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n5)) ),
inference(resolution,[],[f810,f755]) ).
fof(f1617,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(resolution,[],[f1615,f783]) ).
fof(f1628,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n3)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n2))) ),
inference(resolution,[],[f1617,f744]) ).
fof(f1902,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n3)))
| sum(X1,X0,n9)
| ~ rdn_translate(X0,rdn_pos(rdnn(n6))) ),
inference(resolution,[],[f465,f1355]) ).
fof(f1905,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n6)))
| sum(n3,X0,n9) ),
inference(resolution,[],[f1902,f459]) ).
fof(f1906,plain,
sum(n3,n6,n9),
inference(resolution,[],[f1905,f462]) ).
fof(f1907,plain,
n9 = sK2,
inference(resolution,[],[f1906,f874]) ).
fof(f1916,plain,
! [X0] :
( ~ sum(n2,n9,X0)
| sK3 = X0 ),
inference(backward_demodulation,[],[f867,f1907]) ).
fof(f1960,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n2)))
| sum(X1,X0,n5)
| ~ rdn_translate(X0,rdn_pos(rdnn(n3))) ),
inference(resolution,[],[f461,f1628]) ).
fof(f1967,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| sum(n2,X0,n5) ),
inference(resolution,[],[f1960,f458]) ).
fof(f1968,plain,
sum(n2,n3,n5),
inference(resolution,[],[f1967,f459]) ).
fof(f1969,plain,
n5 = sK0,
inference(resolution,[],[f1968,f877]) ).
fof(f1984,plain,
! [X0] :
( ~ sum(n5,n6,X0)
| sK1 = X0 ),
inference(backward_demodulation,[],[f871,f1969]) ).
fof(f2818,plain,
! [X2,X3,X0,X1] :
( ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_translate(X1,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n9)))
| sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdn(rdnn(X0),rdnn(n1)))) ),
inference(resolution,[],[f1462,f789]) ).
fof(f2820,plain,
! [X2,X3,X0,X1] :
( ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n6)))
| sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdn(rdnn(X0),rdnn(n1)))) ),
inference(resolution,[],[f1462,f816]) ).
fof(f12245,definition,
( spl4_385
<=> sum(n2,n9,n11) ),
introduced(definition,[new_symbols(definition,[spl4_385])],[avatar_definition]) ).
fof(f12247,plain,
( sum(n2,n9,n11)
| ~ spl4_385 ),
inference(avatar_component_clause,[],[f12245]) ).
fof(f12620,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n1),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(rdnn(n9)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n2))) ),
inference(resolution,[],[f2818,f770]) ).
fof(f12621,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n2)))
| sum(X1,X0,n11)
| ~ rdn_translate(X0,rdn_pos(rdnn(n9))) ),
inference(resolution,[],[f12620,f467]) ).
fof(f12622,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n9)))
| sum(n2,X0,n11) ),
inference(resolution,[],[f12621,f458]) ).
fof(f12623,plain,
sum(n2,n9,n11),
inference(resolution,[],[f12622,f465]) ).
fof(f12624,plain,
spl4_385,
inference(avatar_split_clause,[],[f12623,f12245]) ).
fof(f12625,plain,
( n11 = sK3
| ~ spl4_385 ),
inference(resolution,[],[f12247,f1916]) ).
fof(f12631,plain,
( rdn_translate(sK3,rdn_pos(rdn(rdnn(n1),rdnn(n1))))
| ~ spl4_385 ),
inference(backward_demodulation,[],[f467,f12625]) ).
fof(f13465,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n1),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(rdnn(n6)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n5))) ),
inference(resolution,[],[f2820,f770]) ).
fof(f13466,plain,
( ! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| sum(X1,X0,sK3)
| ~ rdn_translate(X0,rdn_pos(rdnn(n6))) )
| ~ spl4_385 ),
inference(resolution,[],[f13465,f12631]) ).
fof(f13467,plain,
( ! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n6)))
| sum(n5,X0,sK3) )
| ~ spl4_385 ),
inference(resolution,[],[f13466,f461]) ).
fof(f13468,plain,
( sum(n5,n6,sK3)
| ~ spl4_385 ),
inference(resolution,[],[f13467,f462]) ).
fof(f13469,plain,
( sK1 = sK3
| ~ spl4_385 ),
inference(resolution,[],[f13468,f1984]) ).
fof(f13475,plain,
( $false
| ~ spl4_385 ),
inference(forward_subsumption_resolution,[],[f13469,f864]) ).
fof(f13476,plain,
~ spl4_385,
inference(avatar_contradiction_clause,[],[f13475]) ).
cnf(s314,plain,
spl4_385,
inference(sat_conversion,[],[f12624]) ).
cnf(s332,plain,
~ spl4_385,
inference(sat_conversion,[],[f13476]) ).
cnf(s333,plain,
$false,
inference(rat,[],[s314,s332]) ).
fof(f13477,plain,
$false,
inference(avatar_sat_refutation,[],[s333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM332+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 19:34:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.87/1.96 % (3269328)Detected formulas, will run a generic FOF schedule.
% 6.87/1.96 % (3269335)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3700987944:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.87/1.96 % (3269336)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2320972901:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.87/1.96 % (3269338)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1467065711:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.87/1.96 % (3269337)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1823303294:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.87/1.96 % (3269333)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1734964490:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.87/1.96 % (3269334)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2776434761:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.87/1.96 % (3269336)Refutation not found, incomplete strategy
% 6.87/1.96 % (3269336)------------------------------
% 6.87/1.96 % (3269336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.96 % (3269336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.96 % (3269336)CaDiCaL version: 2.1.3
% 6.87/1.96 % (3269336)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.96 % (3269336)Time elapsed: 0.003 s
% 6.87/1.96 % (3269336)Peak memory usage: 89 MB
% 6.87/1.96 % (3269336)Instructions burned: 3 (million)
% 6.87/1.96 % (3269339)dis-21_1_sil=8000:lcm=predicate:random_seed=1717118134:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.87/1.96 % (3269337)Instruction limit reached!
% 6.87/1.96 % (3269337)------------------------------
% 6.87/1.96 % (3269337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.96 % (3269337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.96 % (3269337)CaDiCaL version: 2.1.3
% 6.87/1.96 % (3269337)Termination reason: Instruction limit
% 6.87/1.96 % (3269337)Termination phase: Saturation
% 6.87/1.96 % (3269337)Time elapsed: 0.066 s
% 6.87/1.96 % (3269337)Peak memory usage: 88 MB
% 6.87/1.96 % (3269337)Instructions burned: 119 (million)
% 6.87/1.96 % (3269339)Instruction limit reached!
% 6.87/1.96 % (3269339)------------------------------
% 6.87/1.96 % (3269339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.96 % (3269339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.96 % (3269339)CaDiCaL version: 2.1.3
% 6.87/1.96 % (3269339)Termination reason: Instruction limit
% 6.87/1.96 % (3269339)Termination phase: Saturation
% 6.87/1.96 % (3269339)Time elapsed: 0.070 s
% 6.87/1.96 % (3269339)Peak memory usage: 89 MB
% 6.87/1.96 % (3269339)Instructions burned: 130 (million)
% 6.87/1.96 % (3269338)Instruction limit reached!
% 6.87/1.96 % (3269338)------------------------------
% 6.87/1.96 % (3269338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.96 % (3269338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.96 % (3269338)CaDiCaL version: 2.1.3
% 6.87/1.96 % (3269338)Termination reason: Instruction limit
% 6.87/1.96 % (3269338)Termination phase: Saturation
% 6.87/1.96 % (3269338)Time elapsed: 0.092 s
% 6.87/1.96 % (3269338)Peak memory usage: 90 MB
% 6.87/1.96 % (3269338)Instructions burned: 140 (million)
% 6.87/1.96 % (3269347)lrs+10_1_sil=8000:sp=occurrence:random_seed=3624148504:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.87/1.96 % (3269347)Refutation not found, incomplete strategy
% 6.87/1.96 % (3269347)------------------------------
% 6.87/1.96 % (3269347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.96 % (3269347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.96 % (3269347)CaDiCaL version: 2.1.3
% 6.87/1.96 % (3269347)Termination reason: Refutation not found, incomplete strategy
% 6.87/1.96 % (3269347)Time elapsed: 0.009 s
% 6.87/1.96 % (3269347)Peak memory usage: 89 MB
% 6.87/1.96 % (3269347)Instructions burned: 12 (million)
% 6.87/1.96 % (3269348)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1940084480:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.49/2.56 % (3269348)Refutation not found, incomplete strategy
% 11.49/2.56 % (3269348)------------------------------
% 11.49/2.56 % (3269348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.56 % (3269348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.56 % (3269348)CaDiCaL version: 2.1.3
% 11.49/2.56 % (3269348)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.56 % (3269348)Time elapsed: 0.004 s
% 11.49/2.56 % (3269348)Peak memory usage: 88 MB
% 11.49/2.56 % (3269348)Instructions burned: 7 (million)
% 11.49/2.56 % (3269349)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2585960098:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.49/2.56 % (3269349)Refutation not found, incomplete strategy
% 11.49/2.56 % (3269349)------------------------------
% 11.49/2.56 % (3269349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.56 % (3269349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.56 % (3269349)CaDiCaL version: 2.1.3
% 11.49/2.56 % (3269349)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.56 % (3269349)Time elapsed: 0.004 s
% 11.49/2.56 % (3269349)Peak memory usage: 88 MB
% 11.49/2.56 % (3269349)Instructions burned: 5 (million)
% 11.49/2.56 % (3269336)------------------------------
% 11.49/2.56 % (3269336)------------------------------
% 11.49/2.56 % (3269335)Refutation not found, incomplete strategy
% 11.49/2.56 % (3269335)------------------------------
% 11.49/2.56 % (3269335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.56 % (3269335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.56 % (3269335)CaDiCaL version: 2.1.3
% 11.49/2.56 % (3269335)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.56 % (3269335)Time elapsed: 0.400 s
% 11.49/2.56 % (3269335)Peak memory usage: 129 MB
% 11.49/2.56 % (3269335)Instructions burned: 966 (million)
% 11.49/2.56 % (3269353)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3811895403:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.49/2.56 % (3269347)------------------------------
% 11.49/2.56 % (3269347)------------------------------
% 11.49/2.56 % (3269348)------------------------------
% 11.49/2.56 % (3269348)------------------------------
% 11.49/2.56 % (3269349)------------------------------
% 11.49/2.56 % (3269349)------------------------------
% 11.49/2.56 % (3269335)------------------------------
% 11.49/2.56 % (3269335)------------------------------
% 11.49/2.56 % (3269353)Instruction limit reached!
% 11.49/2.56 % (3269353)------------------------------
% 11.49/2.56 % (3269353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.56 % (3269353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.56 % (3269353)CaDiCaL version: 2.1.3
% 11.49/2.56 % (3269353)Termination reason: Instruction limit
% 11.49/2.56 % (3269353)Termination phase: Saturation
% 11.49/2.56 % (3269353)Time elapsed: 0.135 s
% 11.49/2.56 % (3269353)Peak memory usage: 90 MB
% 11.49/2.56 % (3269353)Instructions burned: 250 (million)
% 11.49/2.56 % (3269355)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=732470056:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.49/2.56 % (3269355)Refutation not found, incomplete strategy
% 11.49/2.56 % (3269355)------------------------------
% 11.49/2.56 % (3269355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.56 % (3269355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.56 % (3269355)CaDiCaL version: 2.1.3
% 11.49/2.56 % (3269355)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.56 % (3269355)Time elapsed: 0.008 s
% 11.49/2.56 % (3269355)Peak memory usage: 89 MB
% 11.49/2.56 % (3269355)Instructions burned: 13 (million)
% 11.49/2.56 % (3269357)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=271124787:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.49/2.56 % (3269356)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3107017370:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.49/2.56 % (3269357)Refutation not found, incomplete strategy
% 11.49/2.56 % (3269357)------------------------------
% 11.49/2.56 % (3269357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.00/3.53 % (3269357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.00/3.53 % (3269357)CaDiCaL version: 2.1.3
% 19.00/3.53 % (3269357)Termination reason: Refutation not found, incomplete strategy
% 19.00/3.53 % (3269357)Time elapsed: 0.005 s
% 19.00/3.53 % (3269357)Peak memory usage: 89 MB
% 19.00/3.53 % (3269357)Instructions burned: 6 (million)
% 19.00/3.53 % (3269334)Refutation not found, incomplete strategy
% 19.00/3.53 % (3269334)------------------------------
% 19.00/3.53 % (3269334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.00/3.53 % (3269334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.00/3.53 % (3269334)CaDiCaL version: 2.1.3
% 19.00/3.53 % (3269334)Termination reason: Refutation not found, incomplete strategy
% 19.00/3.53 % (3269334)Time elapsed: 0.646 s
% 19.00/3.53 % (3269334)Peak memory usage: 129 MB
% 19.00/3.53 % (3269334)Instructions burned: 1085 (million)
% 19.00/3.53 % (3269358)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3359927397:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.00/3.53 % (3269359)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=863033790:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 19.00/3.53 % (3269358)Instruction limit reached!
% 19.00/3.53 % (3269358)------------------------------
% 19.00/3.53 % (3269358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.00/3.53 % (3269358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.00/3.53 % (3269358)CaDiCaL version: 2.1.3
% 19.00/3.53 % (3269358)Termination reason: Instruction limit
% 19.00/3.53 % (3269358)Termination phase: Saturation
% 19.00/3.53 % (3269358)Time elapsed: 0.058 s
% 19.00/3.53 % (3269358)Peak memory usage: 88 MB
% 19.00/3.53 % (3269358)Instructions burned: 127 (million)
% 19.00/3.53 % (3269359)Instruction limit reached!
% 19.00/3.53 % (3269359)------------------------------
% 19.00/3.53 % (3269359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.00/3.53 % (3269359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.00/3.53 % (3269359)CaDiCaL version: 2.1.3
% 19.00/3.53 % (3269359)Termination reason: Instruction limit
% 19.00/3.53 % (3269359)Termination phase: Saturation
% 19.00/3.53 % (3269359)Time elapsed: 0.055 s
% 19.00/3.53 % (3269359)Peak memory usage: 89 MB
% 19.00/3.53 % (3269359)Instructions burned: 114 (million)
% 19.00/3.53 % (3269334)------------------------------
% 19.00/3.53 % (3269334)------------------------------
% 19.00/3.53 % (3269355)------------------------------
% 19.00/3.53 % (3269355)------------------------------
% 19.00/3.53 % (3269365)lrs+10_1_sil=8000:sp=occurrence:random_seed=3634233194:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 19.00/3.53 % (3269357)------------------------------
% 19.00/3.53 % (3269357)------------------------------
% 19.00/3.53 % (3269366)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4262014090:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 19.00/3.53 % (3269366)Refutation not found, incomplete strategy
% 19.00/3.53 % (3269366)------------------------------
% 19.00/3.53 % (3269366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.00/3.53 % (3269366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.00/3.53 % (3269366)CaDiCaL version: 2.1.3
% 19.00/3.53 % (3269366)Termination reason: Refutation not found, incomplete strategy
% 19.00/3.53 % (3269366)Time elapsed: 0.005 s
% 19.00/3.53 % (3269366)Peak memory usage: 89 MB
% 19.00/3.53 % (3269366)Instructions burned: 5 (million)
% 19.00/3.53 % (3269367)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3634940881:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 19.00/3.53 % (3269368)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1628340035:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 19.00/3.53 % (3269368)Refutation not found, incomplete strategy
% 19.00/3.53 % (3269368)------------------------------
% 19.00/3.53 % (3269368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.00/3.53 % (3269368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.00/3.53 % (3269368)CaDiCaL version: 2.1.3
% 19.00/3.53 % (3269368)Termination reason: Refutation not found, incomplete strategy
% 19.00/3.53 % (3269368)Time elapsed: 0.004 s
% 24.02/4.28 % (3269368)Peak memory usage: 89 MB
% 24.02/4.28 % (3269368)Instructions burned: 4 (million)
% 24.02/4.28 % (3269370)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3357880783:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 24.02/4.28 % (3269366)------------------------------
% 24.02/4.28 % (3269366)------------------------------
% 24.02/4.28 % (3269368)------------------------------
% 24.02/4.28 % (3269368)------------------------------
% 24.02/4.28 % (3269375)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1459830290:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 24.02/4.28 % (3269370)Instruction limit reached!
% 24.02/4.28 % (3269370)------------------------------
% 24.02/4.28 % (3269370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.28 % (3269370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.28 % (3269370)CaDiCaL version: 2.1.3
% 24.02/4.28 % (3269370)Termination reason: Instruction limit
% 24.02/4.28 % (3269370)Termination phase: Saturation
% 24.02/4.28 % (3269370)Time elapsed: 0.302 s
% 24.02/4.28 % (3269370)Peak memory usage: 91 MB
% 24.02/4.28 % (3269370)Instructions burned: 593 (million)
% 24.02/4.28 % (3269365)Instruction limit reached!
% 24.02/4.28 % (3269365)------------------------------
% 24.02/4.28 % (3269365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.28 % (3269365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.28 % (3269365)CaDiCaL version: 2.1.3
% 24.02/4.28 % (3269365)Termination reason: Instruction limit
% 24.02/4.28 % (3269365)Termination phase: Saturation
% 24.02/4.28 % (3269365)Time elapsed: 0.492 s
% 24.02/4.28 % (3269365)Peak memory usage: 98 MB
% 24.02/4.28 % (3269365)Instructions burned: 907 (million)
% 24.02/4.28 % (3269376)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3713478094:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 24.02/4.28 % (3269378)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1677486286:i=134:gtgl=5:slsql=off:gtg=exists_sym_2985 on theBenchmark for (2985ds/134Mi)
% 24.02/4.28 % (3269376)Instruction limit reached!
% 24.02/4.28 % (3269376)------------------------------
% 24.02/4.28 % (3269376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.28 % (3269376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.28 % (3269376)CaDiCaL version: 2.1.3
% 24.02/4.28 % (3269376)Termination reason: Instruction limit
% 24.02/4.28 % (3269376)Termination phase: Saturation
% 24.02/4.28 % (3269376)Time elapsed: 0.087 s
% 24.02/4.28 % (3269376)Peak memory usage: 90 MB
% 24.02/4.28 % (3269376)Instructions burned: 125 (million)
% 24.02/4.28 % (3269379)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2559861453:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/141Mi)
% 24.02/4.28 % (3269379)Refutation not found, incomplete strategy
% 24.02/4.28 % (3269379)------------------------------
% 24.02/4.28 % (3269379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.28 % (3269379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.28 % (3269379)CaDiCaL version: 2.1.3
% 24.02/4.28 % (3269379)Termination reason: Refutation not found, incomplete strategy
% 24.02/4.28 % (3269379)Time elapsed: 0.003 s
% 24.02/4.28 % (3269379)Peak memory usage: 89 MB
% 24.02/4.28 % (3269379)Instructions burned: 3 (million)
% 24.02/4.28 % (3269378)Instruction limit reached!
% 24.02/4.28 % (3269378)------------------------------
% 24.02/4.28 % (3269378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.02/4.28 % (3269378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/4.28 % (3269378)CaDiCaL version: 2.1.3
% 24.02/4.28 % (3269378)Termination reason: Instruction limit
% 24.02/4.28 % (3269378)Termination phase: Saturation
% 24.02/4.28 % (3269378)Time elapsed: 0.069 s
% 24.02/4.28 % (3269378)Peak memory usage: 91 MB
% 24.02/4.28 % (3269378)Instructions burned: 135 (million)
% 24.02/4.28 % (3269382)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3643545202:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2984 on theBenchmark for (2984ds/431Mi)
% 24.02/4.28 % (3269382)Refutation not found, incomplete strategy
% 24.02/4.28 % (3269382)------------------------------
% 24.02/4.28 % (3269382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.86/6.33 % (3269382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.86/6.33 % (3269382)CaDiCaL version: 2.1.3
% 37.86/6.33 % (3269382)Termination reason: Refutation not found, incomplete strategy
% 37.86/6.33 % (3269382)Time elapsed: 0.002 s
% 37.86/6.33 % (3269382)Peak memory usage: 88 MB
% 37.86/6.33 % (3269382)Instructions burned: 2 (million)
% 37.86/6.33 % (3269384)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=502089722:i=6060:aac=none:ins=25_2983 on theBenchmark for (2983ds/6060Mi)
% 37.86/6.33 % (3269379)------------------------------
% 37.86/6.33 % (3269379)------------------------------
% 37.86/6.33 % (3269382)------------------------------
% 37.86/6.33 % (3269382)------------------------------
% 37.86/6.33 % (3269387)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2773550047:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2981 on theBenchmark for (2981ds/150Mi)
% 37.86/6.33 % (3269388)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1246038829:i=14155:bd=all_2980 on theBenchmark for (2980ds/14155Mi)
% 37.86/6.33 % (3269387)Instruction limit reached!
% 37.86/6.33 % (3269387)------------------------------
% 37.86/6.33 % (3269387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.86/6.33 % (3269387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.86/6.33 % (3269387)CaDiCaL version: 2.1.3
% 37.86/6.33 % (3269387)Termination reason: Instruction limit
% 37.86/6.33 % (3269387)Termination phase: Saturation
% 37.86/6.33 % (3269387)Time elapsed: 0.080 s
% 37.86/6.33 % (3269387)Peak memory usage: 90 MB
% 37.86/6.33 % (3269387)Instructions burned: 150 (million)
% 37.86/6.33 % (3269391)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1981718055:i=667:av=off:fsr=off_2979 on theBenchmark for (2979ds/667Mi)
% 37.86/6.33 % (3269356)Instruction limit reached!
% 37.86/6.33 % (3269356)------------------------------
% 37.86/6.33 % (3269356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.86/6.33 % (3269356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.86/6.33 % (3269356)CaDiCaL version: 2.1.3
% 37.86/6.33 % (3269356)Termination reason: Instruction limit
% 37.86/6.33 % (3269356)Termination phase: Saturation
% 37.86/6.33 % (3269356)Time elapsed: 1.567 s
% 37.86/6.33 % (3269356)Peak memory usage: 142 MB
% 37.86/6.33 % (3269356)Instructions burned: 2350 (million)
% 37.86/6.33 % (3269393)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2780490254:s2a=on:i=185:s2at=1.8:fdi=4_2976 on theBenchmark for (2976ds/185Mi)
% 37.86/6.33 % (3269393)Instruction limit reached!
% 37.86/6.33 % (3269393)------------------------------
% 37.86/6.33 % (3269393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.86/6.33 % (3269393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.86/6.33 % (3269393)CaDiCaL version: 2.1.3
% 37.86/6.33 % (3269393)Termination reason: Instruction limit
% 37.86/6.33 % (3269393)Termination phase: Saturation
% 37.86/6.33 % (3269393)Time elapsed: 0.086 s
% 37.86/6.33 % (3269393)Peak memory usage: 91 MB
% 37.86/6.33 % (3269393)Instructions burned: 187 (million)
% 37.86/6.33 % (3269391)Instruction limit reached!
% 37.86/6.33 % (3269391)------------------------------
% 37.86/6.33 % (3269391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.86/6.33 % (3269391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.86/6.33 % (3269391)CaDiCaL version: 2.1.3
% 37.86/6.33 % (3269391)Termination reason: Instruction limit
% 37.86/6.33 % (3269391)Termination phase: Saturation
% 37.86/6.33 % (3269391)Time elapsed: 0.348 s
% 37.86/6.33 % (3269391)Peak memory usage: 109 MB
% 37.86/6.33 % (3269391)Instructions burned: 668 (million)
% 37.86/6.33 % (3269395)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1311184911:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2974 on theBenchmark for (2974ds/193Mi)
% 37.86/6.33 % (3269396)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4187978286:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2974 on theBenchmark for (2974ds/4850Mi)
% 37.86/6.33 % (3269396)Refutation not found, incomplete strategy
% 58.49/9.39 % (3269396)------------------------------
% 58.49/9.39 % (3269396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.39 % (3269396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.39 % (3269396)CaDiCaL version: 2.1.3
% 58.49/9.39 % (3269396)Termination reason: Refutation not found, incomplete strategy
% 58.49/9.39 % (3269396)Time elapsed: 0.005 s
% 58.49/9.39 % (3269396)Peak memory usage: 88 MB
% 58.49/9.39 % (3269396)Instructions burned: 9 (million)
% 58.49/9.39 % (3269395)Refutation not found, incomplete strategy
% 58.49/9.39 % (3269395)------------------------------
% 58.49/9.39 % (3269395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.39 % (3269395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.39 % (3269395)CaDiCaL version: 2.1.3
% 58.49/9.39 % (3269395)Termination reason: Refutation not found, incomplete strategy
% 58.49/9.39 % (3269395)Time elapsed: 0.024 s
% 58.49/9.39 % (3269395)Peak memory usage: 89 MB
% 58.49/9.39 % (3269395)Instructions burned: 35 (million)
% 58.49/9.39 % (3269367)Instruction limit reached!
% 58.49/9.39 % (3269367)------------------------------
% 58.49/9.39 % (3269367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.39 % (3269367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.39 % (3269367)CaDiCaL version: 2.1.3
% 58.49/9.39 % (3269367)Termination reason: Instruction limit
% 58.49/9.39 % (3269367)Termination phase: Saturation
% 58.49/9.39 % (3269367)Time elapsed: 1.698 s
% 58.49/9.39 % (3269367)Peak memory usage: 164 MB
% 58.49/9.39 % (3269367)Instructions burned: 5203 (million)
% 58.49/9.39 % (3269399)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=806571921:i=12111:sd=1:ss=included_2972 on theBenchmark for (2972ds/12111Mi)
% 58.49/9.39 % (3269396)------------------------------
% 58.49/9.39 % (3269396)------------------------------
% 58.49/9.39 % (3269395)------------------------------
% 58.49/9.39 % (3269395)------------------------------
% 58.49/9.39 % (3269401)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=348820954:i=319:kws=precedence:fsr=off_2970 on theBenchmark for (2970ds/319Mi)
% 58.49/9.39 % (3269402)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1300491619:i=2064:ep=RST_2970 on theBenchmark for (2970ds/2064Mi)
% 58.49/9.39 % (3269399)Refutation not found, incomplete strategy
% 58.49/9.39 % (3269399)------------------------------
% 58.49/9.39 % (3269399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.39 % (3269399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.39 % (3269399)CaDiCaL version: 2.1.3
% 58.49/9.39 % (3269399)Termination reason: Refutation not found, incomplete strategy
% 58.49/9.39 % (3269399)Time elapsed: 0.354 s
% 58.49/9.39 % (3269399)Peak memory usage: 129 MB
% 58.49/9.39 % (3269399)Instructions burned: 916 (million)
% 58.49/9.39 % (3269401)Instruction limit reached!
% 58.49/9.39 % (3269401)------------------------------
% 58.49/9.39 % (3269401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.39 % (3269401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.39 % (3269401)CaDiCaL version: 2.1.3
% 58.49/9.39 % (3269401)Termination reason: Instruction limit
% 58.49/9.39 % (3269401)Termination phase: Saturation
% 58.49/9.39 % (3269401)Time elapsed: 0.155 s
% 58.49/9.39 % (3269401)Peak memory usage: 92 MB
% 58.49/9.39 % (3269401)Instructions burned: 320 (million)
% 58.49/9.39 % (3269399)------------------------------
% 58.49/9.39 % (3269399)------------------------------
% 58.49/9.39 % (3269405)dis-1011_128_sil=32000:random_seed=3886200848:i=3706:ep=RST:av=off_2967 on theBenchmark for (2967ds/3706Mi)
% 58.49/9.39 % (3269406)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2698399067:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2966 on theBenchmark for (2966ds/757Mi)
% 58.49/9.39 % (3269406)Refutation not found, incomplete strategy
% 58.49/9.39 % (3269406)------------------------------
% 58.49/9.39 % (3269406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.39 % (3269406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.39 % (3269406)CaDiCaL version: 2.1.3
% 58.49/9.39 % (3269406)Termination reason: Refutation not found, incomplete strategy
% 58.49/9.39 % (3269406)Time elapsed: 0.003 s
% 58.49/9.39 % (3269406)Peak memory usage: 89 MB
% 58.49/9.39 % (3269406)Instructions burned: 7 (million)
% 66.31/10.44 % (3269406)------------------------------
% 66.31/10.44 % (3269406)------------------------------
% 66.31/10.44 % (3269409)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=4283550123:i=13913:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/13913Mi)
% 66.31/10.44 % (3269409)Refutation not found, incomplete strategy
% 66.31/10.44 % (3269409)------------------------------
% 66.31/10.44 % (3269409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269409)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269409)Termination reason: Refutation not found, incomplete strategy
% 66.31/10.44 % (3269409)Time elapsed: 0.386 s
% 66.31/10.44 % (3269409)Peak memory usage: 129 MB
% 66.31/10.44 % (3269409)Instructions burned: 1026 (million)
% 66.31/10.44 % (3269402)Instruction limit reached!
% 66.31/10.44 % (3269402)------------------------------
% 66.31/10.44 % (3269402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269402)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269402)Termination reason: Instruction limit
% 66.31/10.44 % (3269402)Termination phase: Saturation
% 66.31/10.44 % (3269402)Time elapsed: 1.003 s
% 66.31/10.44 % (3269402)Peak memory usage: 93 MB
% 66.31/10.44 % (3269402)Instructions burned: 2064 (million)
% 66.31/10.44 % (3269409)------------------------------
% 66.31/10.44 % (3269409)------------------------------
% 66.31/10.44 % (3269411)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1362584687:i=9925:aac=none_2958 on theBenchmark for (2958ds/9925Mi)
% 66.31/10.44 % (3269412)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2505976485:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2957 on theBenchmark for (2957ds/2479Mi)
% 66.31/10.44 % (3269412)Refutation not found, incomplete strategy
% 66.31/10.44 % (3269412)------------------------------
% 66.31/10.44 % (3269412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269412)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269412)Termination reason: Refutation not found, incomplete strategy
% 66.31/10.44 % (3269412)Time elapsed: 0.003 s
% 66.31/10.44 % (3269412)Peak memory usage: 89 MB
% 66.31/10.44 % (3269412)Instructions burned: 8 (million)
% 66.31/10.44 % (3269412)------------------------------
% 66.31/10.44 % (3269412)------------------------------
% 66.31/10.44 % (3269415)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3737925838:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2955 on theBenchmark for (2955ds/440Mi)
% 66.31/10.44 % (3269415)Instruction limit reached!
% 66.31/10.44 % (3269415)------------------------------
% 66.31/10.44 % (3269415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269415)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269415)Termination reason: Instruction limit
% 66.31/10.44 % (3269415)Termination phase: Saturation
% 66.31/10.44 % (3269415)Time elapsed: 0.125 s
% 66.31/10.44 % (3269415)Peak memory usage: 94 MB
% 66.31/10.44 % (3269415)Instructions burned: 441 (million)
% 66.31/10.44 % (3269417)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3894567273:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2953 on theBenchmark for (2953ds/11145Mi)
% 66.31/10.44 % (3269405)Instruction limit reached!
% 66.31/10.44 % (3269405)------------------------------
% 66.31/10.44 % (3269405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269405)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269405)Termination reason: Instruction limit
% 66.31/10.44 % (3269405)Termination phase: Saturation
% 66.31/10.44 % (3269405)Time elapsed: 1.382 s
% 66.31/10.44 % (3269405)Peak memory usage: 89 MB
% 66.31/10.44 % (3269405)Instructions burned: 3707 (million)
% 66.31/10.44 % (3269419)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=4182079632:cts=off:i=3034:av=off:er=known:fsd=on_2952 on theBenchmark for (2952ds/3034Mi)
% 66.31/10.44 % (3269384)Instruction limit reached!
% 66.31/10.44 % (3269384)------------------------------
% 66.31/10.44 % (3269384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269384)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269384)Termination reason: Instruction limit
% 66.31/10.44 % (3269384)Termination phase: Saturation
% 66.31/10.44 % (3269384)Time elapsed: 3.721 s
% 66.31/10.44 % (3269384)Peak memory usage: 159 MB
% 66.31/10.44 % (3269384)Instructions burned: 6060 (million)
% 66.31/10.44 % (3269421)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4113420430:st=2:s2a=on:i=524:s2at=2:ss=axioms_2945 on theBenchmark for (2945ds/524Mi)
% 66.31/10.44 % (3269421)Instruction limit reached!
% 66.31/10.44 % (3269421)------------------------------
% 66.31/10.44 % (3269421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269421)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269421)Termination reason: Instruction limit
% 66.31/10.44 % (3269421)Termination phase: Saturation
% 66.31/10.44 % (3269421)Time elapsed: 0.235 s
% 66.31/10.44 % (3269421)Peak memory usage: 93 MB
% 66.31/10.44 % (3269421)Instructions burned: 526 (million)
% 66.31/10.44 % (3269423)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3091349899:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2941 on theBenchmark for (2941ds/1016Mi)
% 66.31/10.44 % (3269423)Refutation not found, incomplete strategy
% 66.31/10.44 % (3269423)------------------------------
% 66.31/10.44 % (3269423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269423)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269423)Termination reason: Refutation not found, incomplete strategy
% 66.31/10.44 % (3269423)Time elapsed: 0.004 s
% 66.31/10.44 % (3269423)Peak memory usage: 89 MB
% 66.31/10.44 % (3269423)Instructions burned: 5 (million)
% 66.31/10.44 % (3269423)------------------------------
% 66.31/10.44 % (3269423)------------------------------
% 66.31/10.44 % (3269425)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4091985614:i=14123:bd=preordered:ins=4_2937 on theBenchmark for (2937ds/14123Mi)
% 66.31/10.44 % (3269419)Instruction limit reached!
% 66.31/10.44 % (3269419)------------------------------
% 66.31/10.44 % (3269419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269419)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269419)Termination reason: Instruction limit
% 66.31/10.44 % (3269419)Termination phase: Saturation
% 66.31/10.44 % (3269419)Time elapsed: 2.404 s
% 66.31/10.44 % (3269419)Peak memory usage: 140 MB
% 66.31/10.44 % (3269419)Instructions burned: 3035 (million)
% 66.31/10.44 % (3269427)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3186291446:i=5781:kws=precedence:bd=all:rawr=on_2927 on theBenchmark for (2927ds/5781Mi)
% 66.31/10.44 % (3269417)Instruction limit reached!
% 66.31/10.44 % (3269417)------------------------------
% 66.31/10.44 % (3269417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269417)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269417)Termination reason: Instruction limit
% 66.31/10.44 % (3269417)Termination phase: Saturation
% 66.31/10.44 % (3269417)Time elapsed: 3.530 s
% 66.31/10.44 % (3269417)Peak memory usage: 147 MB
% 66.31/10.44 % (3269417)Instructions burned: 11146 (million)
% 66.31/10.44 % (3269429)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3338859372:i=2448:gtgl=5:bd=preordered:gtg=all_2917 on theBenchmark for (2917ds/2448Mi)
% 66.31/10.44 % (3269375)Instruction limit reached!
% 66.31/10.44 % (3269375)------------------------------
% 66.31/10.44 % (3269375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269375)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269375)Termination reason: Instruction limit
% 66.31/10.44 % (3269375)Termination phase: Saturation
% 66.31/10.44 % (3269375)Time elapsed: 6.994 s
% 66.31/10.44 % (3269375)Peak memory usage: 235 MB
% 66.31/10.44 % (3269375)Instructions burned: 13195 (million)
% 66.31/10.44 % (3269431)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=355226454:i=3223:kws=precedence:fgj=on:av=off_2915 on theBenchmark for (2915ds/3223Mi)
% 66.31/10.44 % (3269429)Instruction limit reached!
% 66.31/10.44 % (3269429)------------------------------
% 66.31/10.44 % (3269429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269429)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269429)Termination reason: Instruction limit
% 66.31/10.44 % (3269429)Termination phase: Saturation
% 66.31/10.44 % (3269429)Time elapsed: 0.748 s
% 66.31/10.44 % (3269429)Peak memory usage: 158 MB
% 66.31/10.44 % (3269429)Instructions burned: 2449 (million)
% 66.31/10.44 % (3269433)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2905216270:st=5.6:i=2033:sd=3:ss=axioms_2908 on theBenchmark for (2908ds/2033Mi)
% 66.31/10.44 % (3269425)First to succeed.
% 66.31/10.44 % (3269425)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3269328"
% 66.31/10.44 % (3269388)Instruction limit reached!
% 66.31/10.44 % (3269388)------------------------------
% 66.31/10.44 % (3269388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.31/10.44 % (3269388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.31/10.44 % (3269388)CaDiCaL version: 2.1.3
% 66.31/10.44 % (3269388)Termination reason: Instruction limit
% 66.31/10.44 % (3269388)Termination phase: Saturation
% 66.31/10.44 % (3269388)Time elapsed: 7.269 s
% 66.31/10.44 % (3269388)Peak memory usage: 225 MB
% 66.31/10.44 % (3269388)Instructions burned: 14157 (million)
% 66.31/10.44 % (3269431)Also succeeded, but the first one will report.
% 66.31/10.44 % (3269435)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1982845831:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2906 on theBenchmark for (2906ds/2055Mi)
% 66.31/10.44 % (3269425)Refutation found. Thanks to Tanya!
% 66.31/10.44 % SZS status Theorem for theBenchmark
% 66.31/10.44 % SZS output start Proof for theBenchmark
% See solution above
% 66.95/10.64 % (3269425)------------------------------
% 66.95/10.64 % (3269425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.95/10.64 % (3269425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.95/10.64 % (3269425)CaDiCaL version: 2.1.3
% 66.95/10.64 % (3269425)Termination reason: Refutation
% 66.95/10.64 % (3269425)Time elapsed: 2.968 s
% 66.95/10.64 % (3269425)Peak memory usage: 165 MB
% 66.95/10.64 % (3269425)Instructions burned: 4643 (million)
% 66.95/10.64 % (3269425)------------------------------
% 66.95/10.64 % (3269425)------------------------------
% 66.95/10.64 % (3269328)Success in time 9.608 s
% 66.95/10.64 % Vampire exiting
%------------------------------------------------------------------------------