%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM040_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:39:28 AM UTC 2026
% Result : Theorem 138.33s 20.26s
% Output : Refutation 139.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 52 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 11 con; 0-5 aty)
% Number of variables : 136 ( 136 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
atom: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
div_mod:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
plus_plus:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_4,type,
times_times:
!>[X0: $tType] : ( X0 > fun(X0,X0) ) ).
tff(func_def_5,type,
iprod:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).
tff(func_def_6,type,
zipwith0:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(list(X0),fun(list(X1),list(X2))) ) ).
tff(func_def_7,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_8,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_9,type,
asubst: ( int * list(int) * atom ) > atom ).
tff(func_def_10,type,
dvd: ( int * int * list(int) ) > atom ).
tff(func_def_11,type,
c_PresArith_Oatom_OLe: ( int * list(int) ) > atom ).
tff(func_def_12,type,
nDvd: ( int * int * list(int) ) > atom ).
tff(func_def_13,type,
atom_case:
!>[X0: $tType] : ( ( fun(int,fun(list(int),X0)) * fun(int,fun(int,fun(list(int),X0))) * fun(int,fun(int,fun(list(int),X0))) * atom ) > X0 ) ).
tff(func_def_14,type,
atom_rec:
!>[X0: $tType] : ( ( fun(int,fun(list(int),X0)) * fun(int,fun(int,fun(list(int),X0))) * fun(int,fun(int,fun(list(int),X0))) * atom ) > X0 ) ).
tff(func_def_15,type,
divisor: atom > int ).
tff(func_def_16,type,
hd_coeff: atom > int ).
tff(func_def_17,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_18,type,
fFalse: bool ).
tff(func_def_19,type,
fTrue: bool ).
tff(func_def_20,type,
a: atom ).
tff(func_def_21,type,
d: int ).
tff(func_def_22,type,
e: list(int) ).
tff(func_def_23,type,
i: int ).
tff(func_def_24,type,
j: int ).
tff(func_def_25,type,
ks: list(int) ).
tff(func_def_26,type,
ks1: list(int) ).
tff(func_def_27,type,
l: int ).
tff(func_def_28,type,
sK0: list(int) ).
tff(func_def_29,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
cl_Groups_Oplus:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
cl_Groups_Ominus:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
comm_ring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
comm_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
semiring_div:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
ab_sem1668676832m_mult:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
i_Z: ( atom * list(int) ) > $o ).
tff(pred_def_21,type,
pp: bool > $o ).
tff(f1,axiom,
div_mod(int,i,divisor(a)) = div_mod(int,j,divisor(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I3_J) ).
tff(f3,axiom,
! [X0: $tType] :
( semiring_div(X0)
=> ! [X1: X0,X2: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1),X2) = div_mod(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_mod__add__self1) ).
tff(f4,axiom,
a = nDvd(d,l,ks1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_NDvd) ).
tff(f12,axiom,
! [X0: $tType] :
( semiring_div(X0)
=> ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),div_mod(X0,X2,X1)),X1) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_zmod__simps_I2_J) ).
tff(f17,axiom,
! [X0: $tType] :
( ab_semigroup_add(X0)
=> ! [X1: X0,X2: X0,X3: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2)),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_ab__semigroup__add__class_Oadd__ac_I1_J) ).
tff(f19,axiom,
! [X0: $tType] :
( semiring_div(X0)
=> ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),div_mod(X0,X3,X2)),X1),X2) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_zmod__simps_I1_J) ).
tff(f22,axiom,
! [X0: list(int),X1: int,X2: int] : ( divisor(nDvd(X2,X1,X0)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_divisor_Osimps_I3_J) ).
tff(f25,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0,X3: X0,X4: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X3)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X2)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).
tff(f33,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f106,axiom,
ab_semigroup_add(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Oab__semigroup__add) ).
tff(f107,axiom,
comm_semiring_1(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1) ).
tff(f108,axiom,
semiring_div(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Divides_Osemiring__div) ).
tff(f124,conjecture,
div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e))),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f125,negated_conjecture,
( ( ~ div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) ) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e))),d) ),
inference(negated_conjecture,[status(cth)],[f124]) ).
tff(f126,plain,
div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e))),d),
inference(flattening,[],[f125]) ).
tff(f131,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1),X2) = div_mod(X0,X1,X2) )
| ~ semiring_div(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f139,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),div_mod(X0,X2,X1)),X1) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2),X1) )
| ~ semiring_div(X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f144,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2)),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) )
| ~ ab_semigroup_add(X0) ),
inference(ennf_transformation,[],[f17]) ).
tff(f147,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),div_mod(X0,X3,X2)),X1),X2) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1),X2) )
| ~ semiring_div(X0) ),
inference(ennf_transformation,[],[f19]) ).
tff(f150,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0,X4: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X3)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X2)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1)) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f25]) ).
tff(f160,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f33]) ).
tff(f231,plain,
div_mod(int,i,divisor(a)) = div_mod(int,j,divisor(a)),
inference(cnf_transformation,[],[f1]) ).
tff(f233,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ semiring_div(X0)
| ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1),X2) = div_mod(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f131]) ).
tff(f234,plain,
a = nDvd(d,l,ks1),
inference(cnf_transformation,[],[f4]) ).
tff(f244,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ~ semiring_div(X0)
| ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2),X1) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),div_mod(X0,X2,X1)),X1) ) ),
inference(cnf_transformation,[],[f139]) ).
tff(f249,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ~ ab_semigroup_add(X0)
| ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2)),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) ) ),
inference(cnf_transformation,[],[f144]) ).
tff(f251,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ~ semiring_div(X0)
| ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),div_mod(X0,X3,X2)),X1),X2) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1),X2) ) ),
inference(cnf_transformation,[],[f147]) ).
tff(f257,plain,
! [X2: int,X0: list(int),X1: int] : ( divisor(nDvd(X2,X1,X0)) = X2 ),
inference(cnf_transformation,[],[f22]) ).
tff(f260,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0,X4: X0] :
( ~ comm_semiring_1(X0)
| ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X3)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X2)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1)) ) ),
inference(cnf_transformation,[],[f150]) ).
tff(f269,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) ) ),
inference(cnf_transformation,[],[f160]) ).
tff(f353,plain,
ab_semigroup_add(int),
inference(cnf_transformation,[],[f106]) ).
tff(f354,plain,
comm_semiring_1(int),
inference(cnf_transformation,[],[f107]) ).
tff(f355,plain,
semiring_div(int),
inference(cnf_transformation,[],[f108]) ).
tff(f371,plain,
div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e))),d),
inference(cnf_transformation,[],[f126]) ).
tff(f392,plain,
divisor(a) = d,
inference(superposition,[],[f257,f234]) ).
tff(f397,plain,
div_mod(int,i,d) = div_mod(int,j,d),
inference(superposition,[],[f231,f392]) ).
tff(f450,plain,
! [X0: int,X1: int] : ( div_mod(int,X1,X0) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1),X0) ),
inference(resolution,[],[f233,f355]) ).
tff(f554,plain,
! [X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1) = aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X0) ),
inference(resolution,[],[f269,f354]) ).
tff(f769,plain,
! [X2: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1),X2) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),div_mod(int,X1,X2)),X2) ),
inference(resolution,[],[f244,f355]) ).
tff(f779,plain,
! [X2: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,X0,X1)),X2),X1) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X2),X1) ),
inference(resolution,[],[f251,f355]) ).
tff(f1015,plain,
! [X2: int,X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1)),X2) = aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X2)) ),
inference(resolution,[],[f249,f353]) ).
tff(f1290,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1)),aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),X3)) = aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X2)),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X3)) ),
inference(resolution,[],[f260,f354]) ).
tff(f1291,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1)),aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),X3)) = aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X3))) ),
inference(forward_demodulation,[],[f1290,f1015]) ).
tff(f1292,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X3))) = aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),X3))) ),
inference(forward_demodulation,[],[f1291,f1015]) ).
tff(f2881,plain,
! [X2: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,X0,X1)),X2),X1) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),X0),X1) ),
inference(superposition,[],[f769,f554]) ).
tff(f2970,plain,
! [X0: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),j),X0),d) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,i,d)),X0),d) ),
inference(superposition,[],[f779,f397]) ).
tff(f2985,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1),X2)),X2) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,X0,X2)),X1)),X2) ),
inference(superposition,[],[f769,f779]) ).
tff(f3006,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1)),X2) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,X0,X2)),X1)),X2) ),
inference(forward_demodulation,[],[f2985,f769]) ).
tff(f3016,plain,
! [X0: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),j),X0),d) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),X0),d) ),
inference(forward_demodulation,[],[f2970,f779]) ).
tff(f4462,plain,
! [X2: int,X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X2)) = aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1)) ),
inference(superposition,[],[f554,f1015]) ).
tff(f6521,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X3)),X0) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),X3))),X0) ),
inference(superposition,[],[f450,f1292]) ).
tff(f6565,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X3)),X0) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),X3)),X0) ),
inference(forward_demodulation,[],[f6521,f450]) ).
tff(f29956,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1),X2)),X2) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,X1,X2)),X0)),X2) ),
inference(superposition,[],[f769,f2881]) ).
tff(f30002,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1),X2)),X2) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X0)),X2) ),
inference(forward_demodulation,[],[f29956,f3006]) ).
tff(f30139,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1)),X2) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X0)),X2) ),
inference(forward_demodulation,[],[f30002,f769]) ).
tff(f144973,plain,
div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),j),aa(int,int,aa(int,fun(int,int),plus_plus(int),iprod(int,ks,e)),l)),d),
inference(superposition,[],[f371,f4462]) ).
tff(f144985,plain,
div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),j),aa(int,int,aa(int,fun(int,int),plus_plus(int),l),iprod(int,ks,e))),d),
inference(forward_demodulation,[],[f144973,f30139]) ).
tff(f145135,plain,
div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),aa(int,int,aa(int,fun(int,int),plus_plus(int),l),iprod(int,ks,e))),d),
inference(forward_demodulation,[],[f144985,f3016]) ).
tff(f145205,plain,
$false,
inference(forward_subsumption_resolution,[],[f145135,f6565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM040_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:55:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 12.37/2.54 % (4067701)Detected formulas, will run a generic FOF schedule.
% 12.37/2.54 % (4067825)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=3042384024:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.37/2.54 % (4067829)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1632859167:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.37/2.54 % (4067828)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4029902360:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.37/2.54 % (4067831)dis-21_1_sil=8000:lcm=predicate:random_seed=1195950674: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)
% 12.37/2.54 % (4067826)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=317504719:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.37/2.54 % (4067830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4048523868:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.37/2.54 % (4067827)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=3179657033:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.37/2.54 % (4067828)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.37/2.54 % (4067828)Refutation not found, incomplete strategy
% 12.37/2.54 % (4067828)------------------------------
% 12.37/2.54 % (4067828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54 % (4067828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54 % (4067828)CaDiCaL version: 2.1.3
% 12.37/2.54 % (4067828)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.54 % (4067828)Time elapsed: 0.003 s
% 12.37/2.54 % (4067828)Peak memory usage: 88 MB
% 12.37/2.54 % (4067828)Instructions burned: 1 (million)
% 12.37/2.54 % (4067827)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.37/2.54 % (4067829)Instruction limit reached!
% 12.37/2.54 % (4067829)------------------------------
% 12.37/2.54 % (4067829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54 % (4067829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54 % (4067829)CaDiCaL version: 2.1.3
% 12.37/2.54 % (4067829)Termination reason: Instruction limit
% 12.37/2.54 % (4067829)Termination phase: Saturation
% 12.37/2.54 % (4067829)Time elapsed: 0.108 s
% 12.37/2.54 % (4067829)Peak memory usage: 89 MB
% 12.37/2.54 % (4067829)Instructions burned: 119 (million)
% 12.37/2.54 % (4067831)Instruction limit reached!
% 12.37/2.54 % (4067831)------------------------------
% 12.37/2.54 % (4067831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54 % (4067831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54 % (4067831)CaDiCaL version: 2.1.3
% 12.37/2.54 % (4067831)Termination reason: Instruction limit
% 12.37/2.54 % (4067831)Termination phase: Saturation
% 12.37/2.54 % (4067831)Time elapsed: 0.122 s
% 12.37/2.54 % (4067831)Peak memory usage: 89 MB
% 12.37/2.54 % (4067831)Instructions burned: 129 (million)
% 12.37/2.54 % (4067830)Instruction limit reached!
% 12.37/2.54 % (4067830)------------------------------
% 12.37/2.54 % (4067830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.54 % (4067830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.54 % (4067830)CaDiCaL version: 2.1.3
% 12.37/2.54 % (4067830)Termination reason: Instruction limit
% 12.37/2.54 % (4067830)Termination phase: Saturation
% 12.37/2.54 % (4067830)Time elapsed: 0.136 s
% 12.37/2.54 % (4067830)Peak memory usage: 89 MB
% 12.37/2.54 % (4067830)Instructions burned: 139 (million)
% 12.37/2.54 % Exception at run slice level
% 12.37/2.54 User error: GNN currently only supports monomorphic FOL.
% 12.37/2.54 % (4067842)lrs+10_1_sil=8000:sp=occurrence:random_seed=1538183218:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.37/2.54 % (4067828)------------------------------
% 12.37/2.54 % (4067828)------------------------------
% 12.37/2.54 % (4067846)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1334646560:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 13.40/2.91 % (4067848)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2377052938:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.40/2.91 % (4067855)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=197507518:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 13.40/2.91 % (4067842)Instruction limit reached!
% 13.40/2.91 % (4067842)------------------------------
% 13.40/2.91 % (4067842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.91 % (4067842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.91 % (4067842)CaDiCaL version: 2.1.3
% 13.40/2.91 % (4067842)Termination reason: Instruction limit
% 13.40/2.91 % (4067842)Termination phase: Saturation
% 13.40/2.91 % (4067842)Time elapsed: 0.238 s
% 13.40/2.91 % (4067842)Peak memory usage: 90 MB
% 13.40/2.91 % (4067842)Instructions burned: 286 (million)
% 13.40/2.91 % (4067846)Instruction limit reached!
% 13.40/2.91 % (4067846)------------------------------
% 13.40/2.91 % (4067846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.91 % (4067846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.91 % (4067846)CaDiCaL version: 2.1.3
% 13.40/2.91 % (4067846)Termination reason: Instruction limit
% 13.40/2.91 % (4067846)Termination phase: Saturation
% 13.40/2.91 % (4067846)Time elapsed: 0.128 s
% 13.40/2.91 % (4067846)Peak memory usage: 90 MB
% 13.40/2.91 % (4067846)Instructions burned: 158 (million)
% 13.40/2.91 % (4067855)Instruction limit reached!
% 13.40/2.91 % (4067855)------------------------------
% 13.40/2.91 % (4067855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.91 % (4067855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.91 % (4067855)CaDiCaL version: 2.1.3
% 13.40/2.91 % (4067855)Termination reason: Instruction limit
% 13.40/2.91 % (4067855)Termination phase: Saturation
% 13.40/2.91 % (4067855)Time elapsed: 0.109 s
% 13.40/2.91 % (4067855)Peak memory usage: 90 MB
% 13.40/2.91 % Exception at run slice level% (4067855)Instructions burned: 250 (million)
% 13.40/2.91
% 13.40/2.91 User error: GNN currently only supports monomorphic FOL.
% 13.40/2.91 % Exception at run slice level
% 13.40/2.91 User error: GNN currently only supports monomorphic FOL.
% 13.40/2.91 % (4067857)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2112278789:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.40/2.91 % (4067848)Instruction limit reached!
% 13.40/2.91 % (4067848)------------------------------
% 13.40/2.91 % (4067848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.91 % (4067848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.91 % (4067848)CaDiCaL version: 2.1.3
% 13.40/2.91 % (4067848)Termination reason: Instruction limit
% 13.40/2.91 % (4067848)Termination phase: Saturation
% 13.40/2.91 % (4067848)Time elapsed: 0.251 s
% 13.40/2.91 % (4067848)Peak memory usage: 92 MB
% 13.40/2.91 % (4067848)Instructions burned: 326 (million)
% 13.40/2.91 % (4067865)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1970149511:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.40/2.91 % (4067868)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2474416414:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.40/2.91 % (4067863)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=249391956:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.40/2.91 % (4067868)Refutation not found, incomplete strategy
% 13.40/2.91 % (4067868)------------------------------
% 13.40/2.91 % (4067868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.91 % (4067868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.91 % (4067868)CaDiCaL version: 2.1.3
% 13.40/2.91 % (4067868)Termination reason: Refutation not found, incomplete strategy
% 13.40/2.91 % (4067868)Time elapsed: 0.005 s
% 13.40/2.91 % (4067868)Peak memory usage: 88 MB
% 13.40/2.91 % (4067868)Instructions burned: 9 (million)
% 13.40/2.91 % (4067865)Instruction limit reached!
% 13.40/2.91 % (4067865)------------------------------
% 13.40/2.91 % (4067865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.91 % (4067865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.91 % (4067865)CaDiCaL version: 2.1.3
% 13.40/2.91 % (4067865)Termination reason: Instruction limit
% 17.97/3.40 % (4067865)Termination phase: Saturation
% 17.97/3.40 % (4067865)Time elapsed: 0.092 s
% 17.97/3.40 % (4067865)Peak memory usage: 89 MB
% 17.97/3.40 % (4067865)Instructions burned: 113 (million)
% 17.97/3.40 % (4067869)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=350746584:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 17.97/3.40 % (4067869)Refutation not found, incomplete strategy
% 17.97/3.40 % (4067869)------------------------------
% 17.97/3.40 % (4067869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/3.40 % (4067869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.40 % (4067869)CaDiCaL version: 2.1.3
% 17.97/3.40 % (4067869)Termination reason: Refutation not found, incomplete strategy
% 17.97/3.40 % (4067869)Time elapsed: 0.007 s
% 17.97/3.40 % (4067869)Peak memory usage: 88 MB
% 17.97/3.40 % (4067869)Instructions burned: 6 (million)
% 17.97/3.40 % (4067872)lrs+10_1_sil=8000:sp=occurrence:random_seed=1843111738:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 17.97/3.40 % (4067857)Instruction limit reached!
% 17.97/3.40 % (4067857)------------------------------
% 17.97/3.40 % (4067857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/3.40 % (4067857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.40 % (4067857)CaDiCaL version: 2.1.3
% 17.97/3.40 % (4067857)Termination reason: Instruction limit
% 17.97/3.40 % (4067857)Termination phase: Saturation
% 17.97/3.40 % (4067857)Time elapsed: 0.247 s
% 17.97/3.40 % (4067857)Peak memory usage: 89 MB
% 17.97/3.40 % (4067857)Instructions burned: 295 (million)
% 17.97/3.40 % (4067875)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=866443646:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 17.97/3.40 % (4067875)Refutation not found, incomplete strategy
% 17.97/3.40 % (4067875)------------------------------
% 17.97/3.40 % (4067875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/3.40 % (4067875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.40 % (4067875)CaDiCaL version: 2.1.3
% 17.97/3.40 % (4067875)Termination reason: Refutation not found, incomplete strategy
% 17.97/3.40 % (4067875)Time elapsed: 0.018 s
% 17.97/3.40 % (4067875)Peak memory usage: 88 MB
% 17.97/3.40 % (4067875)Instructions burned: 18 (million)
% 17.97/3.40 % (4067881)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4173918066:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 17.97/3.40 % (4067868)------------------------------
% 17.97/3.40 % (4067868)------------------------------
% 17.97/3.40 % (4067886)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=478970979:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 17.97/3.40 % (4067869)------------------------------
% 17.97/3.40 % (4067869)------------------------------
% 17.97/3.40 % (4067889)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=174491256:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 17.97/3.40 % (4067886)Instruction limit reached!
% 17.97/3.40 % (4067886)------------------------------
% 17.97/3.40 % (4067886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/3.40 % (4067886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.40 % (4067886)CaDiCaL version: 2.1.3
% 17.97/3.40 % (4067886)Termination reason: Instruction limit
% 17.97/3.40 % (4067886)Termination phase: Saturation
% 17.97/3.40 % (4067886)Time elapsed: 0.121 s
% 17.97/3.40 % (4067886)Peak memory usage: 90 MB
% 17.97/3.40 % (4067886)Instructions burned: 135 (million)
% 17.97/3.40 % (4067875)------------------------------
% 17.97/3.40 % (4067875)------------------------------
% 17.97/3.40 % Exception at run slice level
% 17.97/3.40 User error: GNN currently only supports monomorphic FOL.
% 17.97/3.40 % (4067891)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2793231881:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 17.97/3.40 % (4067889)Instruction limit reached!
% 17.97/3.40 % (4067889)------------------------------
% 17.97/3.40 % (4067889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/3.40 % (4067889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.40 % (4067889)CaDiCaL version: 2.1.3
% 17.97/3.40 % (4067889)Termination reason: Instruction limit
% 17.97/3.40 % (4067889)Termination phase: Saturation
% 26.91/4.67 % (4067889)Time elapsed: 0.315 s
% 26.91/4.67 % (4067889)Peak memory usage: 93 MB
% 26.91/4.67 % (4067889)Instructions burned: 593 (million)
% 26.91/4.67 % Exception at run slice level
% 26.91/4.67 User error: GNN currently only supports monomorphic FOL.
% 26.91/4.67 % (4067893)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=3413828746:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 26.91/4.67 % (4067895)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1994924942:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 26.91/4.67 % (4067895)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 26.91/4.67 % (4067895)Refutation not found, incomplete strategy
% 26.91/4.67 % (4067895)------------------------------
% 26.91/4.67 % (4067895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.91/4.67 % (4067895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.67 % (4067895)CaDiCaL version: 2.1.3
% 26.91/4.67 % (4067895)Termination reason: Refutation not found, incomplete strategy
% 26.91/4.67 % (4067895)Time elapsed: 0.002 s
% 26.91/4.67 % (4067895)Peak memory usage: 88 MB
% 26.91/4.67 % (4067895)Instructions burned: 1 (million)
% 26.91/4.67 % (4067893)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 26.91/4.67 % (4067894)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3092087466:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 26.91/4.67 % Exception at run slice level
% 26.91/4.67 User error: Immediate (shared) subterms of term/literal aa(list(X0),fun(list(X2),list(X1)),zipwith0(X0,X2,X1,X7),cons(X0,X6,X5)) = sF18(X0,X2,X1,X7,X6,X5) have different types/not well-typed!
% 26.91/4.67 % (4067893)Instruction limit reached!
% 26.91/4.67 % (4067893)------------------------------
% 26.91/4.67 % (4067893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.91/4.67 % (4067893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.67 % (4067893)CaDiCaL version: 2.1.3
% 26.91/4.67 % (4067893)Termination reason: Instruction limit
% 26.91/4.67 % (4067893)Termination phase: Saturation
% 26.91/4.67 % (4067893)Time elapsed: 0.123 s
% 26.91/4.67 % (4067893)Peak memory usage: 90 MB
% 26.91/4.67 % (4067893)Instructions burned: 125 (million)
% 26.91/4.67 % (4067872)Instruction limit reached!
% 26.91/4.67 % (4067872)------------------------------
% 26.91/4.67 % (4067872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.91/4.67 % (4067872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.67 % (4067872)CaDiCaL version: 2.1.3
% 26.91/4.67 % (4067872)Termination reason: Instruction limit
% 26.91/4.67 % (4067872)Termination phase: Saturation
% 26.91/4.67 % (4067872)Time elapsed: 0.871 s
% 26.91/4.67 % (4067872)Peak memory usage: 95 MB
% 26.91/4.67 % (4067872)Instructions burned: 907 (million)
% 26.91/4.67 % (4067899)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=588252518:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 26.91/4.67 % (4067899)Refutation not found, incomplete strategy
% 26.91/4.67 % (4067899)------------------------------
% 26.91/4.67 % (4067899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.91/4.67 % (4067899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.91/4.67 % (4067899)CaDiCaL version: 2.1.3
% 26.91/4.67 % (4067899)Termination reason: Refutation not found, incomplete strategy
% 26.91/4.67 % (4067899)Time elapsed: 0.006 s
% 26.91/4.67 % (4067899)Peak memory usage: 88 MB
% 26.91/4.67 % (4067899)Instructions burned: 11 (million)
% 26.91/4.67 % (4067902)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=3799796494:i=6060:aac=none:ins=25_2981 on theBenchmark for (2981ds/6060Mi)
% 26.91/4.67 % (4067904)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=2204515412:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2980 on theBenchmark for (2980ds/150Mi)
% 26.91/4.67 % (4067904)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.34/5.88 % (4067895)------------------------------
% 34.34/5.88 % (4067895)------------------------------
% 34.34/5.88 % (4067907)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=729022503:i=14155:bd=all_2980 on theBenchmark for (2980ds/14155Mi)
% 34.34/5.88 % (4067908)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3109250859:i=667:av=off:fsr=off_2980 on theBenchmark for (2980ds/667Mi)
% 34.34/5.88 % (4067908)Refutation not found, incomplete strategy
% 34.34/5.88 % (4067908)------------------------------
% 34.34/5.88 % (4067908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.34/5.88 % (4067908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.34/5.88 % (4067908)CaDiCaL version: 2.1.3
% 34.34/5.88 % (4067908)Termination reason: Refutation not found, incomplete strategy
% 34.34/5.88 % (4067908)Time elapsed: 0.015 s
% 34.34/5.88 % (4067908)Peak memory usage: 88 MB
% 34.34/5.88 % (4067908)Instructions burned: 14 (million)
% 34.34/5.88 % (4067899)------------------------------
% 34.34/5.88 % (4067899)------------------------------
% 34.34/5.88 % Exception at run slice level
% 34.34/5.88 User error: GNN currently only supports monomorphic FOL.
% 34.34/5.88 % (4067904)Instruction limit reached!
% 34.34/5.88 % (4067904)------------------------------
% 34.34/5.88 % (4067904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.34/5.88 % (4067904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.34/5.88 % (4067904)CaDiCaL version: 2.1.3
% 34.34/5.88 % (4067904)Termination reason: Instruction limit
% 34.34/5.88 % (4067904)Termination phase: Saturation
% 34.34/5.88 % (4067904)Time elapsed: 0.143 s
% 34.34/5.88 % (4067904)Peak memory usage: 91 MB
% 34.34/5.88 % (4067904)Instructions burned: 150 (million)
% 34.34/5.88 % (4067915)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1959386364:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2977 on theBenchmark for (2977ds/193Mi)
% 34.34/5.88 % (4067914)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=1343719736:s2a=on:i=185:s2at=1.8:fdi=4_2977 on theBenchmark for (2977ds/185Mi)
% 34.34/5.88 % (4067915)Instruction limit reached!
% 34.34/5.88 % (4067915)------------------------------
% 34.34/5.88 % (4067915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.34/5.88 % (4067915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.34/5.88 % (4067915)CaDiCaL version: 2.1.3
% 34.34/5.88 % (4067915)Termination reason: Instruction limit
% 34.34/5.88 % (4067915)Termination phase: Saturation
% 34.34/5.88 % (4067915)Time elapsed: 0.103 s
% 34.34/5.88 % (4067915)Peak memory usage: 90 MB
% 34.34/5.88 % (4067915)Instructions burned: 195 (million)
% 34.34/5.88 % (4067916)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3813747837:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2976 on theBenchmark for (2976ds/4850Mi)
% 34.34/5.88 % (4067917)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3657974675:i=12111:sd=1:ss=included_2976 on theBenchmark for (2976ds/12111Mi)
% 34.34/5.88 % (4067916)Refutation not found, incomplete strategy
% 34.34/5.88 % (4067916)------------------------------
% 34.34/5.88 % (4067916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.34/5.88 % (4067916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.34/5.88 % (4067916)CaDiCaL version: 2.1.3
% 34.34/5.88 % (4067916)Termination reason: Refutation not found, incomplete strategy
% 34.34/5.88 % (4067916)Time elapsed: 0.010 s
% 34.34/5.88 % (4067916)Peak memory usage: 88 MB
% 34.34/5.88 % (4067916)Instructions burned: 10 (million)
% 34.34/5.88 % (4067908)------------------------------
% 34.34/5.88 % (4067908)------------------------------
% 34.34/5.88 % (4067914)Instruction limit reached!
% 34.34/5.88 % (4067914)------------------------------
% 34.34/5.88 % (4067914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.34/5.88 % (4067914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.34/5.88 % (4067914)CaDiCaL version: 2.1.3
% 34.34/5.88 % (4067914)Termination reason: Instruction limit
% 34.34/5.88 % (4067914)Termination phase: Saturation
% 34.34/5.88 % (4067914)Time elapsed: 0.181 s
% 34.34/5.88 % (4067914)Peak memory usage: 90 MB
% 34.34/5.88 % (4067914)Instructions burned: 186 (million)
% 47.57/7.45 % Exception at run slice level
% 47.57/7.45 User error: GNN currently only supports monomorphic FOL.
% 47.57/7.45 % (4067922)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1068242574:i=319:kws=precedence:fsr=off_2973 on theBenchmark for (2973ds/319Mi)
% 47.57/7.45 % Exception at run slice level
% 47.57/7.45 User error: GNN currently only supports monomorphic FOL.
% 47.57/7.45 % (4067923)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3914749535:i=2064:ep=RST_2973 on theBenchmark for (2973ds/2064Mi)
% 47.57/7.45 % (4067924)dis-1011_128_sil=32000:random_seed=3995723886:i=3706:ep=RST:av=off_2973 on theBenchmark for (2973ds/3706Mi)
% 47.57/7.45 % (4067925)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=996284286:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2972 on theBenchmark for (2972ds/757Mi)
% 47.57/7.45 % (4067922)Instruction limit reached!
% 47.57/7.45 % (4067922)------------------------------
% 47.57/7.45 % (4067922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.57/7.45 % (4067922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.57/7.45 % (4067922)CaDiCaL version: 2.1.3
% 47.57/7.45 % (4067922)Termination reason: Instruction limit
% 47.57/7.45 % (4067922)Termination phase: Saturation
% 47.57/7.45 % (4067922)Time elapsed: 0.165 s
% 47.57/7.45 % (4067922)Peak memory usage: 91 MB
% 47.57/7.45 % (4067922)Instructions burned: 319 (million)
% 47.57/7.45 % (4067916)------------------------------
% 47.57/7.45 % (4067916)------------------------------
% 47.57/7.45 % (4067928)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=636386662:i=13913:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/13913Mi)
% 47.57/7.45 % (4067931)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3840339536:i=9925:aac=none_2970 on theBenchmark for (2970ds/9925Mi)
% 47.57/7.45 % Exception at run slice level
% 47.57/7.45 User error: GNN currently only supports monomorphic FOL.
% 47.57/7.45 % (4067932)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1547420856:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2969 on theBenchmark for (2969ds/2479Mi)
% 47.57/7.45 % (4067932)Refutation not found, incomplete strategy
% 47.57/7.45 % (4067932)------------------------------
% 47.57/7.45 % (4067932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.57/7.45 % (4067932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.57/7.45 % (4067932)CaDiCaL version: 2.1.3
% 47.57/7.45 % (4067932)Termination reason: Refutation not found, incomplete strategy
% 47.57/7.45 % (4067932)Time elapsed: 0.006 s
% 47.57/7.45 % (4067932)Peak memory usage: 89 MB
% 47.57/7.45 % (4067932)Instructions burned: 4 (million)
% 47.57/7.45 % Exception at run slice level
% 47.57/7.45 User error: GNN currently only supports monomorphic FOL.
% 47.57/7.45 % (4067935)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3757893015:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2967 on theBenchmark for (2967ds/440Mi)
% 47.57/7.45 % (4067935)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 47.57/7.45 % (4067925)Instruction limit reached!
% 47.57/7.45 % (4067925)------------------------------
% 47.57/7.45 % (4067925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.57/7.45 % (4067925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.57/7.45 % (4067925)CaDiCaL version: 2.1.3
% 47.57/7.45 % (4067925)Termination reason: Instruction limit
% 47.57/7.45 % (4067925)Termination phase: Saturation
% 47.57/7.45 % (4067925)Time elapsed: 0.681 s
% 47.57/7.45 % (4067925)Peak memory usage: 95 MB
% 47.57/7.45 % (4067925)Instructions burned: 757 (million)
% 47.57/7.45 % (4067937)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2502011673:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2965 on theBenchmark for (2965ds/11145Mi)
% 47.57/7.45 % Exception at run slice level
% 47.57/7.45 User error: GNN currently only supports monomorphic FOL.
% 47.57/7.45 % (4067932)------------------------------
% 47.57/7.45 % (4067932)------------------------------
% 47.57/7.45 % (4067939)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=1294295508:cts=off:i=3034:av=off:er=known:fsd=on_2963 on theBenchmark for (2963ds/3034Mi)
% 47.57/7.45 % (4067945)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1175218293:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2962 on theBenchmark for (2962ds/1016Mi)
% 58.49/9.10 % (4067942)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=419181752:st=2:s2a=on:i=524:s2at=2:ss=axioms_2962 on theBenchmark for (2962ds/524Mi)
% 58.49/9.10 % (4067935)Instruction limit reached!
% 58.49/9.10 % (4067935)------------------------------
% 58.49/9.10 % (4067935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.10 % (4067935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.10 % (4067935)CaDiCaL version: 2.1.3
% 58.49/9.10 % (4067935)Termination reason: Instruction limit
% 58.49/9.10 % (4067935)Termination phase: Saturation
% 58.49/9.10 % (4067935)Time elapsed: 0.453 s
% 58.49/9.10 % (4067935)Peak memory usage: 92 MB
% 58.49/9.10 % (4067935)Instructions burned: 440 (million)
% 58.49/9.10 % Exception at run slice level
% 58.49/9.10 User error: GNN currently only supports monomorphic FOL.
% 58.49/9.10 % (4067951)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2115102375:i=5781:kws=precedence:bd=all:rawr=on_2960 on theBenchmark for (2960ds/5781Mi)
% 58.49/9.10 % (4067950)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1624128943:i=14123:bd=preordered:ins=4_2960 on theBenchmark for (2960ds/14123Mi)
% 58.49/9.10 % (4067942)Instruction limit reached!
% 58.49/9.10 % (4067942)------------------------------
% 58.49/9.10 % (4067942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.10 % (4067942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.10 % (4067942)CaDiCaL version: 2.1.3
% 58.49/9.10 % (4067942)Termination reason: Instruction limit
% 58.49/9.10 % (4067942)Termination phase: Saturation
% 58.49/9.10 % (4067942)Time elapsed: 0.429 s
% 58.49/9.10 % (4067942)Peak memory usage: 90 MB
% 58.49/9.10 % (4067942)Instructions burned: 525 (million)
% 58.49/9.10 % Exception at run slice level
% 58.49/9.10 User error: GNN currently only supports monomorphic FOL.
% 58.49/9.10 % (4067954)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=404997149:i=2448:gtgl=5:bd=preordered:gtg=all_2956 on theBenchmark for (2956ds/2448Mi)
% 58.49/9.10 % (4067945)Instruction limit reached!
% 58.49/9.10 % (4067945)------------------------------
% 58.49/9.10 % (4067945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.10 % (4067945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.10 % (4067945)CaDiCaL version: 2.1.3
% 58.49/9.10 % (4067945)Termination reason: Instruction limit
% 58.49/9.10 % (4067945)Termination phase: Saturation
% 58.49/9.10 % (4067945)Time elapsed: 0.780 s
% 58.49/9.10 % (4067945)Peak memory usage: 100 MB
% 58.49/9.10 % (4067945)Instructions burned: 1017 (million)
% 58.49/9.10 % (4067957)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1574012473:i=3223:kws=precedence:fgj=on:av=off_2954 on theBenchmark for (2954ds/3223Mi)
% 58.49/9.10 % (4067923)Instruction limit reached!
% 58.49/9.10 % (4067923)------------------------------
% 58.49/9.10 % (4067923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.49/9.10 % (4067923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.49/9.10 % (4067923)CaDiCaL version: 2.1.3
% 58.49/9.10 % (4067923)Termination reason: Instruction limit
% 58.49/9.10 % (4067923)Termination phase: Saturation
% 58.49/9.10 % (4067923)Time elapsed: 1.941 s
% 58.49/9.10 % (4067923)Peak memory usage: 99 MB
% 58.49/9.10 % (4067923)Instructions burned: 2064 (million)
% 58.49/9.10 % Exception at run slice level
% 58.49/9.10 User error: GNN currently only supports monomorphic FOL.
% 58.49/9.10 % (4067959)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=56342064:st=5.6:i=2033:sd=3:ss=axioms_2952 on theBenchmark for (2952ds/2033Mi)
% 58.49/9.10 % (4067962)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=662779679:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/2055Mi)
% 58.49/9.10 % (4067964)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=2512748064:i=21611:sd=3:ss=axioms_2951 on theBenchmark for (2951ds/21611Mi)
% 58.49/9.10 % Exception at run slice level
% 58.49/9.10 User error: GNN currently only supports monomorphic FOL.
% 74.53/11.21 % Exception at run slice level
% 74.53/11.21 User error: GNN currently only supports monomorphic FOL.
% 74.53/11.21 % (4067976)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=4035558559:i=4835:sd=13:ss=axioms:sgt=23_2948 on theBenchmark for (2948ds/4835Mi)
% 74.53/11.21 % Exception at run slice level
% 74.53/11.21 User error: GNN currently only supports monomorphic FOL.
% 74.53/11.21 % Exception at run slice level
% 74.53/11.21 User error: GNN currently only supports monomorphic FOL.
% 74.53/11.21 % (4067977)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3962978906:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2946 on theBenchmark for (2946ds/797Mi)
% 74.53/11.21 % (4067977)Refutation not found, incomplete strategy
% 74.53/11.21 % (4067977)------------------------------
% 74.53/11.21 % (4067977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.53/11.21 % (4067977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.53/11.21 % (4067977)CaDiCaL version: 2.1.3
% 74.53/11.21 % (4067977)Termination reason: Refutation not found, incomplete strategy
% 74.53/11.21 % (4067977)Time elapsed: 0.034 s
% 74.53/11.21 % (4067977)Peak memory usage: 88 MB
% 74.53/11.21 % (4067977)Instructions burned: 29 (million)
% 74.53/11.21 % Exception at run slice level
% 74.53/11.21 User error: GNN currently only supports monomorphic FOL.
% 74.53/11.21 % (4067981)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3230473484:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2944 on theBenchmark for (2944ds/2326Mi)
% 74.53/11.21 % (4067981)Refutation not found, incomplete strategy
% 74.53/11.21 % (4067981)------------------------------
% 74.53/11.21 % (4067981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.53/11.21 % (4067981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.53/11.21 % (4067981)CaDiCaL version: 2.1.3
% 74.53/11.21 % (4067981)Termination reason: Refutation not found, incomplete strategy
% 74.53/11.21 % (4067981)Time elapsed: 0.019 s
% 74.53/11.21 % (4067981)Peak memory usage: 89 MB
% 74.53/11.21 % (4067981)Instructions burned: 19 (million)
% 74.53/11.21 % (4067983)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3950597451:i=6038:nm=6_2943 on theBenchmark for (2943ds/6038Mi)
% 74.53/11.21 % (4067984)lrs+10_1_sil=32000:sp=occurrence:random_seed=1487325177:st=2:i=33334:sd=3:ss=included:sgt=32_2942 on theBenchmark for (2942ds/33334Mi)
% 74.53/11.21 % (4067977)------------------------------
% 74.53/11.21 % (4067977)------------------------------
% 74.53/11.21 % (4067924)Instruction limit reached!
% 74.53/11.21 % (4067924)------------------------------
% 74.53/11.21 % (4067924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.53/11.21 % (4067924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.53/11.21 % (4067924)CaDiCaL version: 2.1.3
% 74.53/11.21 % (4067924)Termination reason: Instruction limit
% 74.53/11.21 % (4067924)Termination phase: Saturation
% 74.53/11.21 % (4067924)Time elapsed: 3.196 s
% 74.53/11.21 % (4067924)Peak memory usage: 97 MB
% 74.53/11.21 % (4067924)Instructions burned: 3707 (million)
% 74.53/11.21 % (4067981)------------------------------
% 74.53/11.21 % (4067981)------------------------------
% 74.53/11.21 % (4067988)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2663606945:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2939 on theBenchmark for (2939ds/1008Mi)
% 74.53/11.21 % (4067989)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2611977338:i=8327:s2at=5:bd=preordered_2938 on theBenchmark for (2938ds/8327Mi)
% 74.53/11.21 % Exception at run slice level
% 74.53/11.21 User error: GNN currently only supports monomorphic FOL.
% 74.53/11.21 % (4067990)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=727388252:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2937 on theBenchmark for (2937ds/1083Mi)
% 74.53/11.21 % (4067951)Instruction limit reached!
% 74.53/11.21 % (4067951)------------------------------
% 74.53/11.21 % (4067951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.53/11.21 % (4067951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.52/13.82 % (4067951)CaDiCaL version: 2.1.3
% 92.52/13.82 % (4067951)Termination reason: Instruction limit
% 92.52/13.82 % (4067951)Termination phase: Saturation
% 92.52/13.82 % (4067951)Time elapsed: 2.554 s
% 92.52/13.82 % (4067951)Peak memory usage: 116 MB
% 92.52/13.82 % (4067951)Instructions burned: 5783 (million)
% 92.52/13.82 % (4067993)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1871257868:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2934 on theBenchmark for (2934ds/1084Mi)
% 92.52/13.82 % (4067995)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=4083383186:i=6995:s2at=5:gtg=all_2932 on theBenchmark for (2932ds/6995Mi)
% 92.52/13.82 % Exception at run slice level
% 92.52/13.82 User error: GNN currently only supports monomorphic FOL.
% 92.52/13.82 % (4067988)Instruction limit reached!
% 92.52/13.82 % (4067988)------------------------------
% 92.52/13.82 % (4067988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.52/13.82 % (4067988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.52/13.82 % (4067988)CaDiCaL version: 2.1.3
% 92.52/13.82 % (4067988)Termination reason: Instruction limit
% 92.52/13.82 % (4067988)Termination phase: Saturation
% 92.52/13.82 % (4067988)Time elapsed: 0.878 s
% 92.52/13.82 % (4067988)Peak memory usage: 99 MB
% 92.52/13.82 % (4067988)Instructions burned: 1008 (million)
% 92.52/13.82 % Exception at run slice level
% 92.52/13.82 User error: GNN currently only supports monomorphic FOL.
% 92.52/13.82 % (4067998)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1773711543:st=2:i=6225:sd=15:ss=axioms_2929 on theBenchmark for (2929ds/6225Mi)
% 92.52/13.82 % (4067990)Instruction limit reached!
% 92.52/13.82 % (4067990)------------------------------
% 92.52/13.82 % (4067990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.52/13.82 % (4067990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.52/13.82 % (4067990)CaDiCaL version: 2.1.3
% 92.52/13.82 % (4067990)Termination reason: Instruction limit
% 92.52/13.82 % (4067990)Termination phase: Saturation
% 92.52/13.82 % (4067990)Time elapsed: 0.901 s
% 92.52/13.82 % (4067990)Peak memory usage: 97 MB
% 92.52/13.82 % (4067990)Instructions burned: 1083 (million)
% 92.52/13.82 % (4067999)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=3348045832:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2927 on theBenchmark for (2927ds/3372Mi)
% 92.52/13.82 % (4068000)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=422643204:st=2.3:i=26457:sd=10:ss=included:sgt=8_2927 on theBenchmark for (2927ds/26457Mi)
% 92.52/13.82 % (4067993)Instruction limit reached!
% 92.52/13.82 % (4067993)------------------------------
% 92.52/13.82 % (4067993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.52/13.82 % (4067993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.52/13.82 % (4067993)CaDiCaL version: 2.1.3
% 92.52/13.82 % (4067993)Termination reason: Instruction limit
% 92.52/13.82 % (4067993)Termination phase: Saturation
% 92.52/13.82 % (4067993)Time elapsed: 0.818 s
% 92.52/13.82 % (4067993)Peak memory usage: 98 MB
% 92.52/13.82 % (4067993)Instructions burned: 1085 (million)
% 92.52/13.82 % (4068002)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=1759588383:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2925 on theBenchmark for (2925ds/13494Mi)
% 92.52/13.82 % Exception at run slice level
% 92.52/13.82 User error: GNN currently only supports monomorphic FOL.
% 92.52/13.82 % (4068005)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=2033011674:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2923 on theBenchmark for (2923ds/2503Mi)
% 92.52/13.82 % (4068005)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 92.52/13.82 % (4068007)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=512550276:i=2559:sd=1:ep=RSTC:ss=axioms_2921 on theBenchmark for (2921ds/2559Mi)
% 92.52/13.82 % Exception at run slice level
% 92.52/13.82 User error: GNN currently only supports monomorphic FOL.
% 92.52/13.82 % Exception at run slice level
% 92.52/13.82 User error: GNN currently only supports monomorphic FOL.
% 92.52/13.82 % Exception at run slice level
% 92.52/13.82 User error: GNN currently only supports monomorphic FOL.
% 92.52/13.82 % (4068012)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=1010628951:i=30753:av=off:ss=included_2919 on theBenchmark for (2919ds/30753Mi)
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % (4068014)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=3915807500:cts=off:i=2759:kws=inv_arity:fgj=on_2916 on theBenchmark for (2916ds/2759Mi)
% 106.53/15.97 % (4068013)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=3273894002:i=26473:ep=RSTC_2916 on theBenchmark for (2916ds/26473Mi)
% 106.53/15.97 % (4068016)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:sos=all:spb=goal_then_units:urr=ec_only:sac=on:random_seed=427690006:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2914 on theBenchmark for (2914ds/5665Mi)
% 106.53/15.97 % (4068016)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % (4068020)dis+1011_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:npcc=on:sos=on:lsd=20:urr=full:alpa=true:sac=on:random_seed=3734442354:i=1532:ep=RS:ss=axioms_2911 on theBenchmark for (2911ds/1532Mi)
% 106.53/15.97 % (4068021)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:erd=off:flr=on:newcnf=on:random_seed=2627610085:i=1565:sd=2:ss=axioms:sgt=32_2910 on theBenchmark for (2910ds/1565Mi)
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % (4067976)Instruction limit reached!
% 106.53/15.97 % (4067976)------------------------------
% 106.53/15.97 % (4067976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.53/15.97 % (4067976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.53/15.97 % (4067976)CaDiCaL version: 2.1.3
% 106.53/15.97 % (4067976)Termination reason: Instruction limit
% 106.53/15.97 % (4067976)Termination phase: Saturation
% 106.53/15.97 % (4067976)Time elapsed: 4.063 s
% 106.53/15.97 % (4067976)Peak memory usage: 100 MB
% 106.53/15.97 % (4067976)Instructions burned: 4835 (million)
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % (4068024)lrs-1011_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:sims=off:bsd=on:sp=unary_first:erd=off:spb=goal:lcm=reverse:gs=on:s2agt=8:random_seed=185524970:i=1572:fgj=on:gsp=on_2906 on theBenchmark for (2906ds/1572Mi)
% 106.53/15.97 % (4068024)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 106.53/15.97 % (4068026)lrs-1002_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:fde=none:sp=occurrence:sos=on:newcnf=on:random_seed=3483067226:i=6052:sd=4:ss=axioms:sgt=24_2905 on theBenchmark for (2905ds/6052Mi)
% 106.53/15.97 % (4068028)lrs+21_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=arity:sos=on:erd=off:lcm=predicate:alpa=false:sac=on:random_seed=1209760142:i=3500:sd=1:bd=preordered:sup=off:ss=included_2904 on theBenchmark for (2904ds/3500Mi)
% 106.53/15.97 % (4068029)lrs+35_1_anc=all_dependent:ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:npcc=on:fde=none:sp=weighted_frequency:erd=off:spb=non_intro:updr=off:newcnf=on:random_seed=3594802451:i=1842:sd=3:fgj=on:gtg=position:gsp=on:ss=axioms:sgt=20_2903 on theBenchmark for (2903ds/1842Mi)
% 106.53/15.97 % (4068029)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % (4068034)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=1894093956:i=66096:add=on_2898 on theBenchmark for (2898ds/66096Mi)
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 106.53/15.97 % Exception at run slice level
% 106.53/15.97 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % (4068035)lrs+1011_1_to=lpo:ncem=casc2026/models/loop3.pt:sil=64000:npcc=on:random_seed=4059765970:i=1884:sd=1:nm=60:ss=axioms_2897 on theBenchmark for (2897ds/1884Mi)
% 123.01/18.12 % (4068037)lrs-1011_4:1_sil=16000:bsr=on:random_seed=1429636833:cts=off:i=5469:bs=on:fsr=off_2896 on theBenchmark for (2896ds/5469Mi)
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % (4068038)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=unary_frequency:urr=on:bce=on:alpa=false:sac=on:random_seed=1777855060:i=2037:s2at=10:gtgl=5:add=off:bd=preordered:ins=25:gtg=exists_all_2894 on theBenchmark for (2894ds/2037Mi)
% 123.01/18.12 % (4068041)lrs-30_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:urr=on:bce=on:rp=on:br=off:flr=on:random_seed=2224975285:st=-1:i=2110:kws=precedence:av=off:ss=axioms:er=known_2893 on theBenchmark for (2893ds/2110Mi)
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % (4068044)dis-1010_1_anc=all_dependent:ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:sp=unary_first:spb=goal:lcm=reverse:fd=off:flr=on:random_seed=2586918857:i=2430:add=off:aac=none:nm=16_2888 on theBenchmark for (2888ds/2430Mi)
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % (4068045)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:spb=units:acc=on:bsr=unit_only:gs=on:sac=on:random_seed=1914173849:cond=fast:i=4891_2887 on theBenchmark for (2887ds/4891Mi)
% 123.01/18.12 % (4068047)lrs+4_1_anc=all:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sos=on:spb=goal_then_units:lcm=reverse:gs=on:s2agt=16:sac=on:newcnf=on:random_seed=1519103732:st=2:i=14845:sd=2:ss=included:fsd=on_2885 on theBenchmark for (2885ds/14845Mi)
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % (4068050)lrs-1010_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:urr=ec_only:br=off:random_seed=810467145:i=7534:sd=3:ins=1:gtg=exists_top:ss=included:sgt=8_2882 on theBenchmark for (2882ds/7534Mi)
% 123.01/18.12 % (4068051)lrs-1002_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=ground:npcc=on:prc=on:fde=none:sims=off:spb=goal:bsr=unit_only:s2agt=32:random_seed=3836500968:cond=fast:i=10353:bs=on:av=off:ss=axioms:fsd=on:sgt=64:fsdmm=10_2880 on theBenchmark for (2880ds/10353Mi)
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % (4068055)ott+1011_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:fde=unused:spb=goal:lsd=30:lcm=predicate:fd=off:gs=on:sac=on:random_seed=3413340131:i=7896:sd=2:bs=on:ss=included:sgt=20_2876 on theBenchmark for (2876ds/7896Mi)
% 123.01/18.12 % (4068054)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1552682717:i=7860_2876 on theBenchmark for (2876ds/7860Mi)
% 123.01/18.12 % (4068054)Refutation not found, incomplete strategy
% 123.01/18.12 % (4068054)------------------------------
% 123.01/18.12 % (4068054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.01/18.12 % (4068054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.01/18.12 % (4068054)CaDiCaL version: 2.1.3
% 123.01/18.12 % (4068054)Termination reason: Refutation not found, incomplete strategy
% 123.01/18.12 % (4068054)Time elapsed: 0.012 s
% 123.01/18.12 % (4068054)Peak memory usage: 88 MB
% 123.01/18.12 % (4068054)Instructions burned: 12 (million)
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % Exception at run slice level
% 123.01/18.12 User error: GNN currently only supports monomorphic FOL.
% 123.01/18.12 % (4068054)------------------------------
% 123.01/18.12 % (4068054)------------------------------
% 123.01/18.12 % (4068064)lrs-1010_1_ncem=casc2026/models/loop5.pt:sil=16000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1273107914:i=2967:kws=precedence:bd=preordered:av=off_2870 on theBenchmark for (2870ds/2967Mi)
% 138.33/20.26 % (4068062)lrs+10_1_ncem=casc2026/models/loop2.pt:sil=16000:tgt=ground:npcc=on:prc=on:random_seed=419607039:i=5812:gtgl=2:gtg=all_2871 on theBenchmark for (2871ds/5812Mi)
% 138.33/20.26 % (4068063)ott-1011_1_anc=none:ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:prc=on:sp=const_frequency:sos=on:lsd=100:random_seed=2152882504:i=2965:s2at=3.7:aac=none:fgj=on:fdi=2:er=known_2871 on theBenchmark for (2871ds/2965Mi)
% 138.33/20.26 % (4067998)Instruction limit reached!
% 138.33/20.26 % (4067998)------------------------------
% 138.33/20.26 % (4067998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.33/20.26 % (4067998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.33/20.26 % (4067998)CaDiCaL version: 2.1.3
% 138.33/20.26 % (4067998)Termination reason: Instruction limit
% 138.33/20.26 % (4067998)Termination phase: Saturation
% 138.33/20.26 % (4067998)Time elapsed: 6.001 s
% 138.33/20.26 % (4067998)Peak memory usage: 123 MB
% 138.33/20.26 % (4067998)Instructions burned: 6226 (million)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068068)ott+1002_1_anc=all:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:sos=on:spb=goal_then_units:alpa=false:sac=on:random_seed=3430321667:i=3022:sd=1:kws=frequency:aac=none:ep=RST:nm=16:ss=axioms:er=known_2866 on theBenchmark for (2866ds/3022Mi)
% 138.33/20.26 % (4068069)lrs-1010_1_ncem=casc2026/models/loop4.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=const_frequency:sos=all:lcm=predicate:acc=on:bsr=unit_only:gs=on:sac=on:newcnf=on:random_seed=2526269636:prac=on:i=3207:kws=frequency:fgj=on:ss=axioms:er=filter:sgt=8_2865 on theBenchmark for (2865ds/3207Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068072)lrs+1011_1_anc=all:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:sos=on:lcm=predicate:random_seed=2377081791:st=4.2:i=3289:sd=5:aac=none:ss=included:sgt=10_2862 on theBenchmark for (2862ds/3289Mi)
% 138.33/20.26 % (4068073)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:random_seed=1574791345:i=38569:sd=3:ss=axioms:sgt=32_2862 on theBenchmark for (2862ds/38569Mi)
% 138.33/20.26 % (4068074)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=16000:npcc=on:bsr=on:random_seed=2359853317:cts=off:i=3394_2861 on theBenchmark for (2861ds/3394Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068078)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=arity:spb=intro:lcm=reverse:urr=ec_only:fd=preordered:gs=on:sac=on:random_seed=831074907:i=33824:bd=preordered_2857 on theBenchmark for (2857ds/33824Mi)
% 138.33/20.26 % (4068079)lrs+10_1_ncem=casc2026/models/loop3.pt:sil=64000:tgt=ground:npcc=on:random_seed=3619702808:i=20684:bd=all:gtg=exists_sym_2855 on theBenchmark for (2855ds/20684Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068080)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:irw=on:npcc=on:prc=on:bsd=on:sp=reverse_frequency:sos=on:erd=off:spb=goal:lcm=reverse:urr=full:bsr=on:s2agt=32:alpa=random:kmz=on:random_seed=2483532164:st=3:prac=on:i=7222:kws=arity_squared:add=on:fgj=on:bd=preordered:gtg=exists_top:gsp=on:ss=axioms:er=known:sgt=8:proc=on_2854 on theBenchmark for (2854ds/7222Mi)
% 138.33/20.26 % (4068080)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 138.33/20.26 % (4068083)ott-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:spb=goal_then_units:random_seed=520988714:st=4:i=7295:sd=4:ep=R:ss=axioms_2853 on theBenchmark for (2853ds/7295Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068086)lrs+32_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:tgt=full:npcc=on:fde=none:sp=occurrence:urr=ec_only:fd=preordered:random_seed=2328394898:i=4036:ins=10_2850 on theBenchmark for (2850ds/4036Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068087)lrs+10_1_sil=128000:lcm=predicate:random_seed=1762037842:st=3:i=43697:sd=5:ss=axioms_2848 on theBenchmark for (2848ds/43697Mi)
% 138.33/20.26 % (4068089)lrs+1010_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:sp=const_frequency:sos=all:lcm=predicate:urr=on:s2agt=20:sac=on:random_seed=2104567086:i=17599:gtg=all:ss=axioms:fsd=on_2847 on theBenchmark for (2847ds/17599Mi)
% 138.33/20.26 % (4068090)lrs+1011_1_to=lpo:ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:prc=on:sp=occurrence:lcm=reverse:urr=ec_only:gs=on:random_seed=1859441817:i=4547:bd=preordered_2845 on theBenchmark for (2845ds/4547Mi)
% 138.33/20.26 % (4068037)Instruction limit reached!
% 138.33/20.26 % (4068037)------------------------------
% 138.33/20.26 % (4068037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.33/20.26 % (4068037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.33/20.26 % (4068037)CaDiCaL version: 2.1.3
% 138.33/20.26 % (4068037)Termination reason: Instruction limit
% 138.33/20.26 % (4068037)Termination phase: Saturation
% 138.33/20.26 % (4068037)Time elapsed: 5.172 s
% 138.33/20.26 % (4068037)Peak memory usage: 113 MB
% 138.33/20.26 % (4068037)Instructions burned: 5470 (million)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068094)lrs+1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sp=unary_first:spb=goal:urr=ec_only:newcnf=on:random_seed=3269585174:i=9294:av=off_2842 on theBenchmark for (2842ds/9294Mi)
% 138.33/20.26 % (4068098)dis-1011_1_ncem=casc2026/models/loop5.pt:sil=64000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=675708240:st=1.5:i=4793:s2at=3:sd=3:fsr=off:ss=axioms_2841 on theBenchmark for (2841ds/4793Mi)
% 138.33/20.26 % (4068097)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=2327641112:i=32849:add=on_2841 on theBenchmark for (2841ds/32849Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068102)dis+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:prc=on:drc=off:sims=off:sp=const_frequency:sos=on:spb=non_intro:gs=on:updr=off:newcnf=on:random_seed=2883739510:i=4840:nm=4:av=off_2837 on theBenchmark for (2837ds/4840Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068103)lrs-1004_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:gs=on:newcnf=on:random_seed=109956098:cts=off:i=5002_2836 on theBenchmark for (2836ds/5002Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068106)dis+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=2000927317:i=30479:sd=3:ss=axioms_2834 on theBenchmark for (2834ds/30479Mi)
% 138.33/20.26 % (4068107)lrs+1011_1_anc=none:ncem=casc2026/models/loop2.pt:sil=32000:tgt=full:npcc=on:fde=unused:sas=cadical:sp=const_frequency:spb=non_intro:lsd=10:lcm=predicate:rp=on:sac=on:newcnf=on:random_seed=945891582:i=11035:s2at=5:kws=inv_arity:bs=on:gsp=on_2833 on theBenchmark for (2833ds/11035Mi)
% 138.33/20.26 % (4068107)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068110)lrs+1010_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:random_seed=2948694874:i=5835_2830 on theBenchmark for (2830ds/5835Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068112)ott+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=arity:urr=on:bsr=on:fd=preordered:foolp=on:random_seed=32460984:i=5890:s2at=2:kws=inv_precedence:ins=4:av=off_2828 on theBenchmark for (2828ds/5890Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068114)lrs+10_1_sil=32000:sos=all:lma=off:random_seed=3938604954:cts=off:i=19910:ep=RS_2825 on theBenchmark for (2825ds/19910Mi)
% 138.33/20.26 % (4068115)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:drc=off:sp=arity:fd=preordered:s2agt=16:sac=on:random_seed=474047432:i=20312:bd=preordered:fsr=off:er=filter_2825 on theBenchmark for (2825ds/20312Mi)
% 138.33/20.26 % (4068116)lrs+1011_1_ncem=casc2026/models/loop2.pt:sil=32000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal_then_units:urr=on:gs=on:sac=on:random_seed=1062874817:i=13822:kws=inv_arity_squared:bd=preordered:ins=5_2825 on theBenchmark for (2825ds/13822Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068120)ott-1011_91_sil=128000:prc=on:sims=off:sp=unary_first:urr=on:random_seed=1647027920:st=2:i=7144:kws=inv_arity_squared:bd=all:ins=1:ss=included:sgt=10_2819 on theBenchmark for (2819ds/7144Mi)
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068122)lrs+21_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3080870795:i=15184:kws=inv_frequency:bd=preordered:av=off:er=known_2817 on theBenchmark for (2817ds/15184Mi)
% 138.33/20.26 % (4068123)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=1884523693:i=107375_2816 on theBenchmark for (2816ds/107375Mi)
% 138.33/20.26 % (4067984)First to succeed.
% 138.33/20.26 % (4067984)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4067701"
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % Exception at run slice level
% 138.33/20.26 User error: GNN currently only supports monomorphic FOL.
% 138.33/20.26 % (4068126)dis+11_1_ncem=casc2026/models/loop2.pt:sil=16000:tgt=full:npcc=on:sp=const_frequency:spb=units:lcm=predicate:fd=off:sac=on:newcnf=on:random_seed=3771206130:cts=off:i=7958:kws=inv_frequency:fgj=on:bs=unit_only:ins=1:fsr=off_2808 on theBenchmark for (2808ds/7958Mi)
% 138.33/20.26 % (4068127)dis+10_128_sil=16000:nwc=0.7:random_seed=2117973815:i=15999:nm=2:gsp=on_2808 on theBenchmark for (2808ds/15999Mi)
% 138.33/20.26 % (4068127)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 138.33/20.26 % (4067984)Refutation found. Thanks to Tanya!
% 138.33/20.26 % SZS status Theorem for theBenchmark
% 138.33/20.26 % SZS output start Proof for theBenchmark
% See solution above
% 139.08/20.63 % (4067984)------------------------------
% 139.08/20.63 % (4067984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.08/20.63 % (4067984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.08/20.63 % (4067984)CaDiCaL version: 2.1.3
% 139.08/20.63 % (4067984)Termination reason: Refutation
% 139.08/20.63 % (4067984)Time elapsed: 13.090 s
% 139.08/20.63 % (4067984)Peak memory usage: 158 MB
% 139.08/20.63 % (4067984)Instructions burned: 13665 (million)
% 139.08/20.63 % (4067984)------------------------------
% 139.08/20.63 % (4067984)------------------------------
% 139.08/20.63 % (4067701)Success in time 19.546 s
% 139.08/20.63 % Vampire exiting
%------------------------------------------------------------------------------