%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL830_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:56:47 AM UTC 2026
% Result : Theorem 4.76s 1.79s
% Output : Refutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 23 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 72 ( 29 ~; 24 |; 18 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 65 ( 65 usr; 14 con; 0-6 aty)
% Number of variables : 58 ( 50 !; 8 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
dB: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(X1,fun(X0,X2)) ) ).
tff(func_def_2,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_3,type,
combk:
!>[X0: $tType,X1: $tType] : fun(X0,fun(X1,X0)) ).
tff(func_def_4,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_5,type,
n_lists:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).
tff(func_def_6,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_7,type,
it: fun(dB,bool) ).
tff(func_def_8,type,
var: nat > dB ).
tff(func_def_9,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_10,type,
dB_rec:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).
tff(func_def_11,type,
dB_size: dB > nat ).
tff(func_def_12,type,
lift: fun(dB,fun(nat,dB)) ).
tff(func_def_13,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_14,type,
subst: fun(dB,fun(dB,fun(nat,dB))) ).
tff(func_def_15,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_16,type,
concat:
!>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).
tff(func_def_17,type,
filter:
!>[X0: $tType] : ( fun(X0,bool) > fun(list(X0),list(X0)) ) ).
tff(func_def_18,type,
hd:
!>[X0: $tType] : fun(list(X0),X0) ).
tff(func_def_19,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_20,type,
cons:
!>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).
tff(func_def_21,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_22,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) ) > fun(list(X1),X0) ) ).
tff(func_def_23,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).
tff(func_def_24,type,
list_size:
!>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).
tff(func_def_25,type,
map:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(list(X0),list(X1))) ).
tff(func_def_26,type,
maps:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,list(X1)) * list(X0) ) > list(X1) ) ).
tff(func_def_27,type,
monoid_add_listsum:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_28,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_29,type,
sublist:
!>[X0: $tType] : ( ( list(X0) * fun(nat,bool) ) > list(X0) ) ).
tff(func_def_30,type,
tl:
!>[X0: $tType] : fun(list(X0),list(X0)) ).
tff(func_def_31,type,
transpose:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
tff(func_def_32,type,
transpose_rel:
!>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),bool)) ).
tff(func_def_33,type,
suc: nat > nat ).
tff(func_def_34,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_35,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_36,type,
fFalse: bool ).
tff(func_def_37,type,
fNot: fun(bool,bool) ).
tff(func_def_38,type,
fTrue: bool ).
tff(func_def_39,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_40,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_41,type,
a: dB ).
tff(func_def_42,type,
as: list(dB) ).
tff(func_def_43,type,
i: nat ).
tff(func_def_44,type,
n: nat ).
tff(func_def_45,type,
t: dB ).
tff(func_def_46,type,
u: dB ).
tff(func_def_47,type,
ua: dB ).
tff(func_def_48,type,
sK0:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > X1 ) ).
tff(func_def_49,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > list(X1) ) ).
tff(func_def_50,type,
sK2:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > X0 ) ).
tff(func_def_51,type,
sK3:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > list(X0) ) ).
tff(func_def_52,type,
sK4:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > X1 ) ).
tff(func_def_53,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > list(X1) ) ).
tff(func_def_54,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > X0 ) ).
tff(func_def_55,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > list(X0) ) ).
tff(func_def_56,type,
sK8:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).
tff(func_def_57,type,
sK9:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).
tff(func_def_58,type,
sK10:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_59,type,
sK11:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_60,type,
sK12:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_61,type,
sK13:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_62,type,
sK14:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
equal_equal:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_4,type,
listMem:
!>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).
tff(pred_def_5,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_6,type,
member1:
!>[X0: $tType] : ( ( list(X0) * X0 ) > $o ) ).
tff(pred_def_7,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_8,type,
accp:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * X0 ) > $o ) ).
tff(pred_def_9,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(f6,axiom,
listsp(dB,it,aa(list(dB),list(dB),aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),aa(nat,fun(dB,dB),combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u)),i)),as)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_Cons_I3_J) ).
tff(f7,axiom,
pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__096IT_A_Ia_091u_Pi_093_J_096) ).
tff(f8,axiom,
! [X0: $tType,X1: $tType,X2: list(X1),X3: X1,X4: fun(X1,X0)] : ( aa(list(X1),list(X0),aa(fun(X1,X0),fun(list(X1),list(X0)),map(X1,X0),X4),aa(list(X1),list(X1),aa(X1,fun(list(X1),list(X1)),cons(X1),X3),X2)) = aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),aa(X1,X0,X4,X3)),aa(list(X1),list(X0),aa(fun(X1,X0),fun(list(X1),list(X0)),map(X1,X0),X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_map_Osimps_I2_J) ).
tff(f57,axiom,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( listsp(X0,X2,X1)
<=> ( ( X1 = nil(X0) )
| ? [X3: X0,X4: list(X0)] :
( ( X1 = aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) )
& pp(aa(X0,bool,X2,X3))
& listsp(X0,X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_listsp_Osimps) ).
tff(f107,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,aa(X2,fun(X0,X1),combc(X0,X2,X1,X5),X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
tff(f116,conjecture,
listsp(dB,it,aa(list(dB),list(dB),aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),aa(nat,fun(dB,dB),combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u)),i)),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),a),as))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f117,negated_conjecture,
~ listsp(dB,it,aa(list(dB),list(dB),aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),aa(nat,fun(dB,dB),combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u)),i)),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),a),as))),
inference(negated_conjecture,[status(cth)],[f116]) ).
tff(f118,plain,
~ listsp(dB,it,aa(list(dB),list(dB),aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),aa(nat,fun(dB,dB),combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u)),i)),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),a),as))),
inference(flattening,[],[f117]) ).
tff(f158,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ( nil(X0) != X1 )
& ! [X3: X0,X4: list(X0)] :
( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 )
| ~ pp(aa(X0,bool,X2,X3))
| ~ listsp(X0,X2,X4) ) ) )
& ( ( X1 = nil(X0) )
| ? [X3: X0,X4: list(X0)] :
( ( X1 = aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) )
& pp(aa(X0,bool,X2,X3))
& listsp(X0,X2,X4) )
| ~ listsp(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f57]) ).
tff(f159,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ( nil(X0) != X1 )
& ! [X3: X0,X4: list(X0)] :
( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 )
| ~ pp(aa(X0,bool,X2,X3))
| ~ listsp(X0,X2,X4) ) ) )
& ( ( X1 = nil(X0) )
| ? [X3: X0,X4: list(X0)] :
( ( X1 = aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) )
& pp(aa(X0,bool,X2,X3))
& listsp(X0,X2,X4) )
| ~ listsp(X0,X2,X1) ) ),
inference(flattening,[],[f158]) ).
tff(f160,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ( nil(X0) != X1 )
& ! [X3: X0,X4: list(X0)] :
( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 )
| ~ pp(aa(X0,bool,X2,X3))
| ~ listsp(X0,X2,X4) ) ) )
& ( ( X1 = nil(X0) )
| ? [X5: X0,X6: list(X0)] :
( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X6) = X1 )
& pp(aa(X0,bool,X2,X5))
& listsp(X0,X2,X6) )
| ~ listsp(X0,X2,X1) ) ),
inference(rectify,[],[f159]) ).
tff(f161,plain,
! [X0: $tType,X1: list(X0),X2: fun(X0,bool)] :
( ( listsp(X0,X2,X1)
| ( ( nil(X0) != X1 )
& ! [X3: X0,X4: list(X0)] :
( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 )
| ~ pp(aa(X0,bool,X2,X3))
| ~ listsp(X0,X2,X4) ) ) )
& ( ( X1 = nil(X0) )
| ( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK8(X0,X1,X2)),sK9(X0,X1,X2)) = X1 )
& pp(aa(X0,bool,X2,sK8(X0,X1,X2)))
& listsp(X0,X2,sK9(X0,X1,X2)) )
| ~ listsp(X0,X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X5,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X2))],[f160]) ).
tff(f176,plain,
listsp(dB,it,aa(list(dB),list(dB),aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),aa(nat,fun(dB,dB),combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u)),i)),as)),
inference(cnf_transformation,[],[f6]) ).
tff(f177,plain,
pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i))),
inference(cnf_transformation,[],[f7]) ).
tff(f178,plain,
! [X1: $tType,X0: $tType,X2: list(X1),X3: X1,X4: fun(X1,X0)] : ( aa(list(X1),list(X0),aa(fun(X1,X0),fun(list(X1),list(X0)),map(X1,X0),X4),aa(list(X1),list(X1),aa(X1,fun(list(X1),list(X1)),cons(X1),X3),X2)) = aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),aa(X1,X0,X4,X3)),aa(list(X1),list(X0),aa(fun(X1,X0),fun(list(X1),list(X0)),map(X1,X0),X4),X2)) ),
inference(cnf_transformation,[],[f8]) ).
tff(f252,plain,
! [X0: $tType,X2: fun(X0,bool),X3: X0,X1: list(X0),X4: list(X0)] :
( ( aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X3),X4) != X1 )
| listsp(X0,X2,X1)
| ~ pp(aa(X0,bool,X2,X3))
| ~ listsp(X0,X2,X4) ),
inference(cnf_transformation,[],[f161]) ).
tff(f308,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,aa(X2,fun(X0,X1),combc(X0,X2,X1,X5),X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
inference(cnf_transformation,[],[f107]) ).
tff(f317,plain,
~ listsp(dB,it,aa(list(dB),list(dB),aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),aa(nat,fun(dB,dB),combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u)),i)),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),a),as))),
inference(cnf_transformation,[],[f118]) ).
tff(f626,plain,
~ pp(aa(dB,bool,it,aa(dB,dB,aa(nat,fun(dB,dB),combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u)),i),a))),
inference(unit_resulting_resolution,[],[f252,f176,f317,f178]) ).
tff(f696,plain,
~ pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),combc(dB,dB,fun(nat,dB),subst),u),a),i))),
inference(superposition,[],[f626,f308]) ).
tff(f778,plain,
~ pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i))),
inference(superposition,[],[f696,f308]) ).
tff(f779,plain,
$false,
inference(forward_subsumption_resolution,[],[f778,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL830_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n014.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 16:58:02 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.49 Running first-order theorem proving
% 0.15/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.76/1.78 % (1010877)Detected formulas, will run a generic FOF schedule.
% 4.76/1.78 % (1010983)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1806237047:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.76/1.78 % (1010979)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=4274959404:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.76/1.78 % (1010984)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3212692677:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.76/1.78 % (1010986)dis-21_1_sil=8000:lcm=predicate:random_seed=3624604177: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)
% 4.76/1.78 % (1010977)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=953228234:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.76/1.78 % (1010978)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=2260247295:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.76/1.78 % (1010983)Instruction limit reached!
% 4.76/1.78 % (1010983)------------------------------
% 4.76/1.78 % (1010983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1010983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1010983)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1010983)Termination reason: Instruction limit
% 4.76/1.78 % (1010983)Termination phase: Saturation
% 4.76/1.78 % (1010983)Time elapsed: 0.039 s
% 4.76/1.78 % (1010983)Peak memory usage: 88 MB
% 4.76/1.78 % (1010983)Instructions burned: 122 (million)
% 4.76/1.78 % (1010979)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.76/1.78 % (1010981)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2592002934:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.76/1.78 % (1010981)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.76/1.78 % (1010981)Refutation not found, incomplete strategy
% 4.76/1.78 % (1010981)------------------------------
% 4.76/1.78 % (1010981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1010981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1010981)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1010981)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.78 % (1010981)Time elapsed: 0.005 s
% 4.76/1.78 % (1010981)Peak memory usage: 88 MB
% 4.76/1.78 % (1010981)Instructions burned: 8 (million)
% 4.76/1.78 % (1010986)Instruction limit reached!
% 4.76/1.78 % (1010986)------------------------------
% 4.76/1.78 % (1010986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1010986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1010986)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1010986)Termination reason: Instruction limit
% 4.76/1.78 % (1010986)Termination phase: Saturation
% 4.76/1.78 % (1010986)Time elapsed: 0.074 s
% 4.76/1.78 % (1010986)Peak memory usage: 89 MB
% 4.76/1.78 % (1010986)Instructions burned: 130 (million)
% 4.76/1.78 % (1010984)Instruction limit reached!
% 4.76/1.78 % (1010984)------------------------------
% 4.76/1.78 % (1010984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1010984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1010984)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1010984)Termination reason: Instruction limit
% 4.76/1.78 % (1010984)Termination phase: Saturation
% 4.76/1.78 % (1010984)Time elapsed: 0.092 s
% 4.76/1.78 % (1010984)Peak memory usage: 89 MB
% 4.76/1.78 % (1010984)Instructions burned: 140 (million)
% 4.76/1.78 % (1011001)lrs+10_1_sil=8000:sp=occurrence:random_seed=3911455428:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.76/1.78 % (1011022)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2935846257:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.76/1.78 % (1011033)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1759793460:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.76/1.78 % (1010981)------------------------------
% 4.76/1.78 % (1010981)------------------------------
% 4.76/1.78 % (1011001)Instruction limit reached!
% 4.76/1.78 % (1011001)------------------------------
% 4.76/1.78 % (1011001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1011001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1011001)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1011001)Termination reason: Instruction limit
% 4.76/1.78 % (1011001)Termination phase: Saturation
% 4.76/1.78 % (1011001)Time elapsed: 0.136 s
% 4.76/1.78 % (1011001)Peak memory usage: 91 MB
% 4.76/1.78 % (1011001)Instructions burned: 286 (million)
% 4.76/1.78 % (1011022)Instruction limit reached!
% 4.76/1.78 % (1011022)------------------------------
% 4.76/1.78 % (1011022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1011022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1011022)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1011022)Termination reason: Instruction limit
% 4.76/1.78 % (1011022)Termination phase: Saturation
% 4.76/1.78 % (1011022)Time elapsed: 0.091 s
% 4.76/1.78 % (1011022)Peak memory usage: 90 MB
% 4.76/1.78 % (1011022)Instructions burned: 158 (million)
% 4.76/1.78 % (1011056)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3187434556:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.76/1.78 % (1011056)Refutation not found, incomplete strategy
% 4.76/1.78 % (1011056)------------------------------
% 4.76/1.78 % (1011056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1011056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1011056)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1011056)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.78 % (1011056)Time elapsed: 0.006 s
% 4.76/1.78 % (1011056)Peak memory usage: 88 MB
% 4.76/1.78 % (1011056)Instructions burned: 18 (million)
% 4.76/1.78 % Exception at run slice level
% 4.76/1.78 User error: GNN currently only supports monomorphic FOL.
% 4.76/1.78 % Exception at run slice level
% 4.76/1.78 User error: GNN currently only supports monomorphic FOL.
% 4.76/1.78 % Exception at run slice level
% 4.76/1.78 User error: GNN currently only supports monomorphic FOL.
% 4.76/1.78 % (1011055)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=2616313543:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.76/1.78 % (1011033)Instruction limit reached!
% 4.76/1.78 % (1011033)------------------------------
% 4.76/1.78 % (1011033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.78 % (1011033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.78 % (1011033)CaDiCaL version: 2.1.3
% 4.76/1.78 % (1011033)Termination reason: Instruction limit
% 4.76/1.78 % (1011033)Termination phase: Saturation
% 4.76/1.78 % (1011033)Time elapsed: 0.201 s
% 4.76/1.78 % (1011033)Peak memory usage: 91 MB
% 4.76/1.78 % (1011033)Instructions burned: 325 (million)
% 4.76/1.78 % (1011057)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1551992815:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.76/1.78 % (1011055)First to succeed.
% 4.76/1.78 % (1011055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1010877"
% 4.76/1.78 % (1011061)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1063492315:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.76/1.79 % (1011060)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1269572476:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.76/1.79 % (1011059)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1581360392:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.76/1.79 % (1011056)------------------------------
% 4.76/1.79 % (1011056)------------------------------
% 4.76/1.79 % (1011060)Instruction limit reached!
% 4.76/1.79 % (1011060)------------------------------
% 4.76/1.79 % (1011060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.79 % (1011060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.79 % (1011060)CaDiCaL version: 2.1.3
% 4.76/1.79 % (1011060)Termination reason: Instruction limit
% 4.76/1.79 % (1011060)Termination phase: Saturation
% 4.76/1.79 % (1011060)Time elapsed: 0.058 s
% 4.76/1.79 % (1011060)Peak memory usage: 88 MB
% 4.76/1.79 % (1011060)Instructions burned: 128 (million)
% 4.76/1.79 % (1011064)lrs+10_1_sil=8000:sp=occurrence:random_seed=1498113681:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.76/1.79 % (1011059)Instruction limit reached!
% 4.76/1.79 % (1011059)------------------------------
% 4.76/1.79 % (1011059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.79 % (1011059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.79 % (1011059)CaDiCaL version: 2.1.3
% 4.76/1.79 % (1011059)Termination reason: Instruction limit
% 4.76/1.79 % (1011059)Termination phase: Saturation
% 4.76/1.79 % (1011059)Time elapsed: 0.066 s
% 4.76/1.79 % (1011059)Peak memory usage: 89 MB
% 4.76/1.79 % (1011059)Instructions burned: 113 (million)
% 4.76/1.79 % (1011061)Instruction limit reached!
% 4.76/1.79 % (1011061)------------------------------
% 4.76/1.79 % (1011061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.79 % (1011061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.79 % (1011061)CaDiCaL version: 2.1.3
% 4.76/1.79 % (1011061)Termination reason: Instruction limit
% 4.76/1.79 % (1011061)Termination phase: Saturation
% 4.76/1.79 % (1011061)Time elapsed: 0.067 s
% 4.76/1.79 % (1011061)Peak memory usage: 89 MB
% 4.76/1.79 % (1011061)Instructions burned: 114 (million)
% 4.76/1.79 % (1011068)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=216360198:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 4.76/1.79 % (1011068)Refutation not found, incomplete strategy
% 4.76/1.79 % (1011068)------------------------------
% 4.76/1.79 % (1011068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.79 % (1011068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.79 % (1011068)CaDiCaL version: 2.1.3
% 4.76/1.79 % (1011068)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.79 % (1011068)Time elapsed: 0.006 s
% 4.76/1.79 % (1011068)Peak memory usage: 88 MB
% 4.76/1.79 % (1011068)Instructions burned: 21 (million)
% 4.76/1.79 % (1011070)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1824499717:i=5202:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/5202Mi)
% 4.76/1.79 % (1011072)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=790146978:st=8:i=592:sd=3:ep=RST:ss=axioms_2992 on theBenchmark for (2992ds/592Mi)
% 4.76/1.79 % (1011071)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=66374699:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 4.76/1.79 % (1011072)Refutation not found, incomplete strategy
% 4.76/1.79 % (1011072)------------------------------
% 4.76/1.79 % (1011072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.79 % (1011072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.79 % (1011072)CaDiCaL version: 2.1.3
% 4.76/1.79 % (1011072)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.79 % (1011072)Time elapsed: 0.009 s
% 4.76/1.79 % (1011072)Peak memory usage: 88 MB
% 4.76/1.79 % (1011072)Instructions burned: 16 (million)
% 4.76/1.79 % (1011055)Refutation found. Thanks to Tanya!
% 4.76/1.79 % SZS status Theorem for theBenchmark
% 4.76/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 6.63/1.97 % (1011055)------------------------------
% 6.63/1.97 % (1011055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.97 % (1011055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.97 % (1011055)CaDiCaL version: 2.1.3
% 6.63/1.97 % (1011055)Termination reason: Refutation
% 6.63/1.97 % (1011055)Time elapsed: 0.057 s
% 6.63/1.97 % (1011055)Peak memory usage: 89 MB
% 6.63/1.97 % (1011055)Instructions burned: 91 (million)
% 6.63/1.97 % (1011055)------------------------------
% 6.63/1.97 % (1011055)------------------------------
% 6.63/1.97 % (1010877)Success in time 0.846 s
% 6.63/1.97 % Vampire exiting
%------------------------------------------------------------------------------