%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL767_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 : n018.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 11:56:31 AM UTC 2026
% Result : Theorem 2.89s 1.08s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 115 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 133 ( 54 ~; 47 |; 28 &)
% ( 3 <=>; 1 =>; 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 : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 63 ( 63 usr; 10 con; 0-5 aty)
% Number of variables : 85 ( 77 !; 8 ?; 85 :)
% 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,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_3,type,
it: fun(dB,bool) ).
tff(func_def_4,type,
abs: dB > dB ).
tff(func_def_5,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_6,type,
var: nat > dB ).
tff(func_def_7,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_8,type,
append:
!>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).
tff(func_def_9,type,
butlast:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_10,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_11,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_12,type,
last:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_13,type,
cons:
!>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).
tff(func_def_14,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_15,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_16,type,
maps:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,list(X1)) * list(X0) ) > list(X1) ) ).
tff(func_def_17,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_18,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_19,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_20,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_21,type,
fFalse: bool ).
tff(func_def_22,type,
fNot: fun(bool,bool) ).
tff(func_def_23,type,
fTrue: bool ).
tff(func_def_24,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_25,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_26,type,
fequal:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_27,type,
i: nat ).
tff(func_def_28,type,
n: nat ).
tff(func_def_29,type,
rs: list(dB) ).
tff(func_def_30,type,
sK0:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > X0 ) ).
tff(func_def_31,type,
sK1:
!>[X0: $tType] : ( ( list(X0) * fun(X0,bool) ) > list(X0) ) ).
tff(func_def_32,type,
sK2:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_33,type,
sK3:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_34,type,
sK4:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_35,type,
sK5:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_36,type,
sK6:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_37,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_38,type,
sK8:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_39,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).
tff(func_def_40,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).
tff(func_def_41,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X0 ) ).
tff(func_def_42,type,
sK12: ( list(dB) * dB * dB * dB ) > list(dB) ).
tff(func_def_43,type,
sK13:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_44,type,
sK14:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_45,type,
sK15:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_46,type,
sK16:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_47,type,
sK17:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_48,type,
sK18:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_49,type,
sK19:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_50,type,
sK20:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_51,type,
sK21:
!>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_52,type,
sK22:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_53,type,
sK23: dB > list(dB) ).
tff(func_def_54,type,
sK24: dB > dB ).
tff(func_def_55,type,
sK25: dB > nat ).
tff(func_def_56,type,
sK26: dB > dB ).
tff(func_def_57,type,
sK27: dB > dB ).
tff(func_def_58,type,
sK28: dB > dB ).
tff(func_def_59,type,
sK29: dB > dB ).
tff(func_def_60,type,
sK30: dB > nat ).
tff(pred_def_1,type,
list_all:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_2,type,
list_ex1:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_3,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_4,type,
pp: bool > $o ).
tff(f1,axiom,
! [X4: nat] : pp(aa(dB,bool,it,var(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Var__IT) ).
tff(f2,axiom,
! [X0: nat,X1: list(dB)] :
( listsp(dB,it,X1)
=> pp(aa(dB,bool,it,foldl(dB,dB,app,var(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_IT_OVar) ).
tff(f8,axiom,
! [X0: $tType,X1: list(X0),X2: list(X0),X3: fun(X0,bool)] :
( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
<=> ( listsp(X0,X3,X2)
& listsp(X0,X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_append__in__listsp__conv) ).
tff(f9,axiom,
! [X0: $tType,X1: fun(X0,bool)] : listsp(X0,X1,nil(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_listsp_ONil) ).
tff(f18,axiom,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool),X3: list(X0)] :
( listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
<=> ( listsp(X0,X2,X3)
& listsp(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_listsp__conj__eq) ).
tff(f38,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/sandbox/benchmark/theBenchmark.p',fact_37_listsp_Osimps) ).
tff(f116,axiom,
listsp(dB,combs(dB,bool,bool,combb(bool,fun(bool,bool),dB,fconj,it),combb(dB,bool,dB,it,aa(dB,fun(dB,dB),combc(dB,dB,dB,app),var(i)))),rs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f117,conjecture,
pp(aa(dB,bool,it,foldl(dB,dB,app,var(n),aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f118,negated_conjecture,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,var(n),aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))))),
inference(negated_conjecture,[status(cth)],[f117]) ).
tff(f119,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,var(n),aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))))),
inference(flattening,[],[f118]) ).
tff(f120,plain,
! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
inference(rectify,[],[f1]) ).
tff(f123,plain,
! [X0: nat,X1: list(dB)] :
( pp(aa(dB,bool,it,foldl(dB,dB,app,var(X0),X1)))
| ~ listsp(dB,it,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f141,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool),X3: list(X0)] :
( ( listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
| ~ listsp(X0,X2,X3)
| ~ listsp(X0,X1,X3) )
& ( ( listsp(X0,X2,X3)
& listsp(X0,X1,X3) )
| ~ listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3) ) ),
inference(nnf_transformation,[],[f18]) ).
tff(f142,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool),X3: list(X0)] :
( ( listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
| ~ listsp(X0,X2,X3)
| ~ listsp(X0,X1,X3) )
& ( ( listsp(X0,X2,X3)
& listsp(X0,X1,X3) )
| ~ listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3) ) ),
inference(flattening,[],[f141]) ).
tff(f143,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,[],[f38]) ).
tff(f144,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,[],[f143]) ).
tff(f145,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,[],[f144]) ).
tff(f146,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),sK0(X0,X1,X2)),sK1(X0,X1,X2)) = X1 )
& pp(aa(X0,bool,X2,sK0(X0,X1,X2)))
& listsp(X0,X2,sK1(X0,X1,X2)) )
| ~ listsp(X0,X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X5,sK0(X0,X1,X2)),skolemize(X6,sK1(X0,X1,X2))],[f145]) ).
tff(f147,plain,
! [X0: $tType,X1: list(X0),X2: list(X0),X3: fun(X0,bool)] :
( ( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
| ~ listsp(X0,X3,X2)
| ~ listsp(X0,X3,X1) )
& ( ( listsp(X0,X3,X2)
& listsp(X0,X3,X1) )
| ~ listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1)) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f148,plain,
! [X0: $tType,X1: list(X0),X2: list(X0),X3: fun(X0,bool)] :
( ( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
| ~ listsp(X0,X3,X2)
| ~ listsp(X0,X3,X1) )
& ( ( listsp(X0,X3,X2)
& listsp(X0,X3,X1) )
| ~ listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1)) ) ),
inference(flattening,[],[f147]) ).
tff(f208,plain,
listsp(dB,combs(dB,bool,bool,combb(bool,fun(bool,bool),dB,fconj,it),combb(dB,bool,dB,it,aa(dB,fun(dB,dB),combc(dB,dB,dB,app),var(i)))),rs),
inference(cnf_transformation,[],[f116]) ).
tff(f209,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,var(n),aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))))),
inference(cnf_transformation,[],[f119]) ).
tff(f215,plain,
! [X0: $tType,X2: fun(X0,bool),X3: list(X0),X1: fun(X0,bool)] :
( ~ listsp(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fconj,X2),X1),X3)
| listsp(X0,X2,X3) ),
inference(cnf_transformation,[],[f142]) ).
tff(f220,plain,
! [X0: $tType,X2: fun(X0,bool),X3: X0,X1: list(X0),X4: list(X0)] :
( listsp(X0,X2,X1)
| ( 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) ),
inference(cnf_transformation,[],[f146]) ).
tff(f222,plain,
! [X0: $tType,X1: fun(X0,bool)] : listsp(X0,X1,nil(X0)),
inference(cnf_transformation,[],[f9]) ).
tff(f225,plain,
! [X0: $tType,X2: list(X0),X3: fun(X0,bool),X1: list(X0)] :
( listsp(X0,X3,aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),X1))
| ~ listsp(X0,X3,X2)
| ~ listsp(X0,X3,X1) ),
inference(cnf_transformation,[],[f148]) ).
tff(f227,plain,
! [X0: nat,X1: list(dB)] :
( pp(aa(dB,bool,it,foldl(dB,dB,app,var(X0),X1)))
| ~ listsp(dB,it,X1) ),
inference(cnf_transformation,[],[f123]) ).
tff(f228,plain,
! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
inference(cnf_transformation,[],[f120]) ).
tff(f354,plain,
! [X0: $tType,X2: fun(X0,bool),X3: X0,X4: list(X0)] :
( listsp(X0,X2,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) ),
inference(equality_resolution,[],[f220]) ).
tff(f492,plain,
~ listsp(dB,it,aa(list(dB),list(dB),aa(list(dB),fun(list(dB),list(dB)),append(dB),rs),aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))),
inference(resolution,[],[f227,f209]) ).
tff(f881,plain,
( ~ listsp(dB,it,aa(list(dB),list(dB),aa(dB,fun(list(dB),list(dB)),cons(dB),var(i)),nil(dB)))
| ~ listsp(dB,it,rs) ),
inference(resolution,[],[f225,f492]) ).
tff(f897,plain,
( ~ pp(aa(dB,bool,it,var(i)))
| ~ listsp(dB,it,nil(dB))
| ~ listsp(dB,it,rs) ),
inference(resolution,[],[f354,f881]) ).
tff(f904,plain,
( ~ listsp(dB,it,nil(dB))
| ~ listsp(dB,it,rs) ),
inference(forward_subsumption_resolution,[],[f897,f228]) ).
tff(f905,plain,
~ listsp(dB,it,rs),
inference(forward_subsumption_resolution,[],[f904,f222]) ).
tff(f954,plain,
listsp(dB,it,rs),
inference(resolution,[],[f208,f215]) ).
tff(f956,plain,
$false,
inference(forward_subsumption_resolution,[],[f954,f905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL767_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:47:08 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.89/1.08 % (2583968)Detected formulas, will run a generic FOF schedule.
% 2.89/1.08 % (2584056)dis-21_1_sil=8000:lcm=predicate:random_seed=4235099552: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)
% 2.89/1.08 % (2584049)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=744847872:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.89/1.08 % (2584055)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4162832910:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.89/1.08 % (2584052)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=911983141:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.89/1.08 % (2584048)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=447702417:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.89/1.08 % (2584053)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=551625599:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.89/1.08 % (2584050)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=1334215990:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.89/1.08 % (2584052)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.89/1.08 % (2584050)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.89/1.08 % (2584052)Refutation not found, incomplete strategy
% 2.89/1.08 % (2584052)------------------------------
% 2.89/1.08 % (2584052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.08 % (2584052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.08 % (2584052)CaDiCaL version: 2.1.3
% 2.89/1.08 % (2584052)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.08 % (2584052)Time elapsed: 0.010 s
% 2.89/1.08 % (2584052)Peak memory usage: 89 MB
% 2.89/1.08 % (2584052)Instructions burned: 18 (million)
% 2.89/1.08 % (2584053)First to succeed.
% 2.89/1.08 % (2584053)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2583968"
% 2.89/1.08 % (2584056)Also succeeded, but the first one will report.
% 2.89/1.08 % (2584055)Instruction limit reached!
% 2.89/1.08 % (2584055)------------------------------
% 2.89/1.08 % (2584055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.08 % (2584055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.08 % (2584055)CaDiCaL version: 2.1.3
% 2.89/1.08 % (2584055)Termination reason: Instruction limit
% 2.89/1.08 % (2584055)Termination phase: Saturation
% 2.89/1.08 % (2584055)Time elapsed: 0.088 s
% 2.89/1.08 % (2584055)Peak memory usage: 89 MB
% 2.89/1.08 % (2584055)Instructions burned: 139 (million)
% 2.89/1.08 % (2584052)------------------------------
% 2.89/1.08 % (2584052)------------------------------
% 2.89/1.08 % (2584068)lrs+10_1_sil=8000:sp=occurrence:random_seed=2535679738:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.89/1.08 % (2584053)Refutation found. Thanks to Tanya!
% 2.89/1.08 % SZS status Theorem for theBenchmark
% 2.89/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.27 % (2584053)------------------------------
% 3.44/1.27 % (2584053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.27 % (2584053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.27 % (2584053)CaDiCaL version: 2.1.3
% 3.44/1.27 % (2584053)Termination reason: Refutation
% 3.44/1.27 % (2584053)Time elapsed: 0.033 s
% 3.44/1.27 % (2584053)Peak memory usage: 89 MB
% 3.44/1.27 % (2584053)Instructions burned: 54 (million)
% 3.44/1.27 % (2584053)------------------------------
% 3.44/1.27 % (2584053)------------------------------
% 3.44/1.27 % (2583968)Success in time 0.455 s
% 3.44/1.27 % Vampire exiting
%------------------------------------------------------------------------------