%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM095_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 : n002.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 09:39:33 AM UTC 2026
% Result : Theorem 0.65s 0.98s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 102 ( 102 usr; 10 con; 0-7 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% 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,
nat: $tType ).
tff(type_def_9,type,
atom: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_11,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
n_lists:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).
tff(func_def_1,type,
product:
!>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).
tff(func_def_2,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
equal_equal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_4,type,
iprod:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).
tff(func_def_5,type,
zipwith0:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * list(X0) * list(X1) ) > list(X2) ) ).
tff(func_def_6,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_7,type,
lexord:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > fun(product_prod(list(X0),list(X0)),bool) ) ).
tff(func_def_8,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_9,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_10,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_11,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).
tff(func_def_12,type,
list_size:
!>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).
tff(func_def_13,type,
member1:
!>[X0: $tType] : fun(list(X0),fun(X0,bool)) ).
tff(func_def_14,type,
remdups:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_15,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_16,type,
set:
!>[X0: $tType] : fun(list(X0),fun(X0,bool)) ).
tff(func_def_17,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_18,type,
sublist:
!>[X0: $tType] : ( ( list(X0) * fun(nat,bool) ) > list(X0) ) ).
tff(func_def_19,type,
transpose:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
tff(func_def_20,type,
divisor: atom > int ).
tff(func_def_21,type,
lbounds: list(atom) > list(product_prod(int,list(int))) ).
tff(func_def_22,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).
tff(func_def_23,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X0,X1),X2) * X0 * X1 ) > X2 ) ).
tff(func_def_24,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_25,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_26,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_27,type,
fFalse: bool ).
tff(func_def_28,type,
fTrue: bool ).
tff(func_def_29,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_30,type,
a: atom ).
tff(func_def_31,type,
as: list(atom) ).
tff(func_def_32,type,
li: int ).
tff(func_def_33,type,
lks: list(int) ).
tff(func_def_34,type,
x: int ).
tff(func_def_35,type,
xs: list(int) ).
tff(func_def_36,type,
sK0: int ).
tff(func_def_37,type,
sK1: int ).
tff(func_def_38,type,
sK2:
!>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).
tff(func_def_39,type,
sK3:
!>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).
tff(func_def_40,type,
sK4:
!>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).
tff(func_def_41,type,
sK5:
!>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).
tff(func_def_42,type,
sK6:
!>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).
tff(func_def_43,type,
sK7:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_44,type,
sK8:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_45,type,
sK9:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_46,type,
sK10:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_47,type,
sK11:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_48,type,
sK12:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_49,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_50,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_51,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_52,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_53,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_54,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_55,type,
sK19:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X5 ) ).
tff(func_def_56,type,
sK20:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X4 ) ).
tff(func_def_57,type,
sK21:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X3 ) ).
tff(func_def_58,type,
sK22:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X2 ) ).
tff(func_def_59,type,
sK23:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X1 ) ).
tff(func_def_60,type,
sK24:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X0 ) ).
tff(func_def_61,type,
sK25:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
tff(func_def_62,type,
sK26:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
tff(func_def_63,type,
sK27:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
tff(func_def_64,type,
sK28:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_65,type,
sK29:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
tff(func_def_66,type,
sK30:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
tff(func_def_67,type,
sK31:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
tff(func_def_68,type,
sK32:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
tff(func_def_69,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
tff(func_def_70,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
tff(func_def_71,type,
sK35:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
tff(func_def_72,type,
sK36:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X4 ) ).
tff(func_def_73,type,
sK37:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X3 ) ).
tff(func_def_74,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X2 ) ).
tff(func_def_75,type,
sK39:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X1 ) ).
tff(func_def_76,type,
sK40:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X0 ) ).
tff(func_def_77,type,
sK41:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_78,type,
sK42:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_79,type,
sK43:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_80,type,
sK44:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_81,type,
sK45:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_82,type,
sK46:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_83,type,
sK47:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_84,type,
sK48:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_85,type,
sK49:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_86,type,
sK50:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_87,type,
sK51:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_88,type,
sK52:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_89,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_90,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_91,type,
sK55:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_92,type,
sK56:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_93,type,
sK57:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_94,type,
sK58:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_95,type,
sK59:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_96,type,
sK60:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_97,type,
sK61:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_98,type,
sK62:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(pred_def_1,type,
enum:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
cl_HOL_Oequal:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
listMem:
!>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).
tff(pred_def_6,type,
list_ex1:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_7,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_8,type,
i_Z: ( atom * list(int) ) > $o ).
tff(pred_def_9,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(f1,axiom,
member(atom,a,aa(list(atom),fun(atom,bool),set(atom),as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096a_A_058_Aset_Aas_096) ).
tff(f2,axiom,
! [X0: atom] :
( member(atom,X0,aa(list(atom),fun(atom,bool),set(atom),as))
=> i_Z(X0,cons(int,x,xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_x) ).
tff(f117,conjecture,
i_Z(a,cons(int,x,xs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f118,negated_conjecture,
~ i_Z(a,cons(int,x,xs)),
inference(negated_conjecture,[status(cth)],[f117]) ).
tff(f121,plain,
~ i_Z(a,cons(int,x,xs)),
inference(flattening,[],[f118]) ).
tff(f123,plain,
! [X0: atom] :
( i_Z(X0,cons(int,x,xs))
| ~ member(atom,X0,aa(list(atom),fun(atom,bool),set(atom),as)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f232,plain,
member(atom,a,aa(list(atom),fun(atom,bool),set(atom),as)),
inference(cnf_transformation,[],[f1]) ).
tff(f233,plain,
! [X0: atom] :
( ~ member(atom,X0,aa(list(atom),fun(atom,bool),set(atom),as))
| i_Z(X0,cons(int,x,xs)) ),
inference(cnf_transformation,[],[f123]) ).
tff(f390,plain,
~ i_Z(a,cons(int,x,xs)),
inference(cnf_transformation,[],[f121]) ).
tff(f449,plain,
i_Z(a,cons(int,x,xs)),
inference(resolution,[],[f233,f232]) ).
tff(f450,plain,
$false,
inference(forward_subsumption_resolution,[],[f449,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM095_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:56:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.65/0.98 % (813487)Detected formulas, will run a generic FOF schedule.
% 0.65/0.98 % (813568)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2138006122:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.65/0.98 % (813568)First to succeed.
% 0.65/0.98 % (813568)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-813487"
% 0.65/0.98 % (813565)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=812724568:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.65/0.98 % (813563)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=43432026:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.65/0.98 % (813561)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=1568303530:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.65/0.98 % (813562)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=2552901541:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.65/0.98 % (813565)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.65/0.98 % (813565)Refutation not found, incomplete strategy
% 0.65/0.98 % (813565)------------------------------
% 0.65/0.98 % (813565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.65/0.98 % (813565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.98 % (813565)CaDiCaL version: 2.1.3
% 0.65/0.98 % (813565)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.98 % (813565)Time elapsed: 0.002 s
% 0.65/0.98 % (813565)Peak memory usage: 88 MB
% 0.65/0.98 % (813565)Instructions burned: 1 (million)
% 0.65/0.98 % (813570)dis-21_1_sil=8000:lcm=predicate:random_seed=1549092230: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)
% 0.65/0.98 % (813563)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.65/0.98 % (813570)Also succeeded, but the first one will report.
% 0.65/0.98 % (813567)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3900784402:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.65/0.98 % (813567)Also succeeded, but the first one will report.
% 0.65/0.98 % (813568)Refutation found. Thanks to Tanya!
% 0.65/0.98 % SZS status Theorem for theBenchmark
% 0.65/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.17 % (813568)------------------------------
% 2.78/1.17 % (813568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.17 % (813568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.17 % (813568)CaDiCaL version: 2.1.3
% 2.78/1.17 % (813568)Termination reason: Refutation
% 2.78/1.17 % (813568)Time elapsed: 0.007 s
% 2.78/1.17 % (813568)Peak memory usage: 89 MB
% 2.78/1.17 % (813568)Instructions burned: 18 (million)
% 2.78/1.17 % (813568)------------------------------
% 2.78/1.17 % (813568)------------------------------
% 2.78/1.17 % (813487)Success in time 0.314 s
% 2.78/1.17 % Vampire exiting
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