%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL787_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:00:35 PM UTC 2026
% Result : Theorem 2.61s 0.97s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 14 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 77 ( 77 usr; 24 con; 0-6 aty)
% Number of variables : 29 ( 28 !; 1 ?; 29 :)
% 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,
type: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1))) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(fun(X0,X1),fun(X0,X2))) ).
tff(func_def_4,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
it: fun(dB,bool) ).
tff(func_def_6,type,
abs: dB > dB ).
tff(func_def_7,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_8,type,
var: nat > dB ).
tff(func_def_9,type,
dB_size: dB > nat ).
tff(func_def_10,type,
lift: fun(dB,fun(nat,dB)) ).
tff(func_def_11,type,
subst: fun(dB,fun(dB,fun(nat,dB))) ).
tff(func_def_12,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_13,type,
foldr:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).
tff(func_def_14,type,
cons:
!>[X0: $tType] : fun(X0,fun(list(X0),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,
listset:
!>[X0: $tType] : ( list(fun(X0,bool)) > fun(list(X0),bool) ) ).
tff(func_def_17,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_18,type,
set_Cons:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(list(X0),bool) ) > fun(list(X0),bool) ) ).
tff(func_def_19,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_20,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_21,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_22,type,
shift:
!>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).
tff(func_def_23,type,
atom: nat > type ).
tff(func_def_24,type,
fun1: fun(type,fun(type,type)) ).
tff(func_def_25,type,
type_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(type,fun(type,X0)) * type ) > X0 ) ).
tff(func_def_26,type,
type_size: type > nat ).
tff(func_def_27,type,
typing: fun(nat,type) > fun(dB,fun(type,bool)) ).
tff(func_def_28,type,
typings: ( fun(nat,type) * list(dB) ) > fun(list(type),bool) ).
tff(func_def_29,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_30,type,
fEx:
!>[X0: $tType] : fun(fun(X0,bool),bool) ).
tff(func_def_31,type,
fFalse: bool ).
tff(func_def_32,type,
fTrue: bool ).
tff(func_def_33,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_34,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_35,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_36,type,
t1: type ).
tff(func_def_37,type,
t_a: type ).
tff(func_def_38,type,
t: type ).
tff(func_def_39,type,
ts: list(type) ).
tff(func_def_40,type,
a: dB ).
tff(func_def_41,type,
as: list(dB) ).
tff(func_def_42,type,
e: fun(nat,type) ).
tff(func_def_43,type,
ea: fun(nat,type) ).
tff(func_def_44,type,
i: nat ).
tff(func_def_45,type,
ia: nat ).
tff(func_def_46,type,
n: nat ).
tff(func_def_47,type,
rs: list(dB) ).
tff(func_def_48,type,
t2: dB ).
tff(func_def_49,type,
u: dB ).
tff(func_def_50,type,
ua: dB ).
tff(func_def_51,type,
sK1: list(type) ).
tff(func_def_52,type,
sK2: ( type * dB * dB * fun(nat,type) ) > type ).
tff(func_def_53,type,
sK3: ( type * type * list(dB) * fun(nat,type) ) > list(type) ).
tff(func_def_54,type,
sK4: ( type * list(dB) * nat * fun(nat,type) ) > list(type) ).
tff(func_def_55,type,
sK5: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).
tff(func_def_56,type,
sK6: ( type * list(dB) * dB * fun(nat,type) ) > list(type) ).
tff(func_def_57,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).
tff(func_def_58,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).
tff(func_def_59,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X0 ) ).
tff(func_def_60,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > X0 ) ).
tff(func_def_61,type,
sK11:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > list(X0) ) ).
tff(func_def_62,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > X1 ) ).
tff(func_def_63,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > list(X1) ) ).
tff(func_def_64,type,
sK14:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_65,type,
sK15: ( type * dB * fun(nat,type) ) > type ).
tff(func_def_66,type,
sK16: ( type * dB * fun(nat,type) ) > type ).
tff(func_def_67,type,
sK17: ( dB * fun(nat,type) ) > type ).
tff(func_def_68,type,
sK18: ( dB * fun(nat,type) ) > type ).
tff(func_def_69,type,
sK19: dB > dB ).
tff(func_def_70,type,
sK20: dB > dB ).
tff(func_def_71,type,
sK21: dB > list(dB) ).
tff(func_def_72,type,
sK22: dB > list(dB) ).
tff(func_def_73,type,
sK23: dB > nat ).
tff(func_def_74,type,
sK24: dB > dB ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_3,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_4,type,
pp: bool > $o ).
tff(pred_def_6,type,
sP0: dB > $o ).
tff(f2,axiom,
n = i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_True) ).
tff(f4,axiom,
pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(n)),a)),foldr(type,type,fun1,ts,t1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_headT) ).
tff(f31,axiom,
! [X0: type,X1: dB,X2: dB,X3: fun(nat,type)] :
( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0))
=> ~ ! [X4: type] :
( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,X4),X0)))
=> ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_typing__elims_I2_J) ).
tff(f115,axiom,
! [X0: type] :
( pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1))))
=> ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
=> thesis ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f116,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f117,negated_conjecture,
~ thesis,
inference(negated_conjecture,[status(cth)],[f116]) ).
tff(f119,plain,
~ thesis,
inference(flattening,[],[f117]) ).
tff(f138,plain,
! [X0: type,X1: dB,X2: dB,X3: fun(nat,type)] :
( ? [X4: type] :
( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),X4))
& pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,X4),X0))) )
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0)) ),
inference(ennf_transformation,[],[f31]) ).
tff(f166,plain,
! [X0: type] :
( thesis
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
inference(ennf_transformation,[],[f115]) ).
tff(f167,plain,
! [X0: type] :
( thesis
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
inference(flattening,[],[f166]) ).
tff(f176,plain,
! [X0: type,X1: dB,X2: dB,X3: fun(nat,type)] :
( ( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),sK2(X0,X1,X2,X3)))
& pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,sK2(X0,X1,X2,X3)),X0))) )
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X2,X3))],[f138]) ).
tff(f213,plain,
n = i,
inference(cnf_transformation,[],[f2]) ).
tff(f215,plain,
pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(n)),a)),foldr(type,type,fun1,ts,t1))),
inference(cnf_transformation,[],[f4]) ).
tff(f248,plain,
! [X2: dB,X3: fun(nat,type),X0: type,X1: dB] :
( pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X2),aa(type,type,aa(type,fun(type,type),fun1,sK2(X0,X1,X2,X3)),X0)))
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0)) ),
inference(cnf_transformation,[],[f176]) ).
tff(f249,plain,
! [X2: dB,X3: fun(nat,type),X0: type,X1: dB] :
( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),aa(dB,dB,aa(dB,fun(dB,dB),app,X2),X1)),X0))
| pp(aa(type,bool,aa(dB,fun(type,bool),typing(X3),X1),sK2(X0,X1,X2,X3))) ),
inference(cnf_transformation,[],[f176]) ).
tff(f368,plain,
! [X0: type] :
( thesis
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
inference(cnf_transformation,[],[f167]) ).
tff(f369,plain,
~ thesis,
inference(cnf_transformation,[],[f119]) ).
tff(f370,plain,
pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(i)),a)),foldr(type,type,fun1,ts,t1))),
inference(definition_unfolding,[],[f215,f213]) ).
tff(f376,plain,
! [X0: type] :
( thesis
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0))
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(i)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1)))) ),
inference(definition_unfolding,[],[f368,f213]) ).
tff(f406,plain,
! [X0: type] :
( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),var(i)),aa(type,type,aa(type,fun(type,type),fun1,X0),foldr(type,type,fun1,ts,t1))))
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),X0)) ),
inference(forward_subsumption_resolution,[],[f376,f369]) ).
tff(f3671,plain,
pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),sK2(foldr(type,type,fun1,ts,t1),a,var(i),shift(type,e,i,t)))),
inference(resolution,[],[f249,f370]) ).
tff(f5305,plain,
! [X0: dB] :
( ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun(dB,dB),app,var(i)),X0)),foldr(type,type,fun1,ts,t1)))
| ~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),sK2(foldr(type,type,fun1,ts,t1),X0,var(i),shift(type,e,i,t)))) ),
inference(resolution,[],[f248,f406]) ).
tff(f7263,plain,
~ pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t)),a),sK2(foldr(type,type,fun1,ts,t1),a,var(i),shift(type,e,i,t)))),
inference(resolution,[],[f5305,f370]) ).
tff(f7292,plain,
$false,
inference(forward_subsumption_resolution,[],[f7263,f3671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL787_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 16:50:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/0.97 % (2615191)Will run a generic schedule for satisfiability detection.
% 2.61/0.97 % (2615200)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2955985949:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.61/0.97 % (2615197)% WARNING: option uhcvi not known.
% 2.61/0.97 % (2615197)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=565478576:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.61/0.97 % (2615196)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=308507817_2999 on theBenchmark for (2999ds/0Mi)
% 2.61/0.97 % (2615199)dis+10_1_sil=32000:sp=arity:random_seed=1070491031:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.61/0.97 % (2615198)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1445154518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.61/0.97 % (2615201)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3687885455:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.61/0.97 % (2615202)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4127560696:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615200)Instruction limit reached!
% 2.61/0.97 % (2615200)------------------------------
% 2.61/0.97 % (2615200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615200)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615200)Termination reason: Instruction limit
% 2.61/0.97 % (2615200)Termination phase: Saturation
% 2.61/0.97 % (2615200)Time elapsed: 0.035 s
% 2.61/0.97 % (2615200)Peak memory usage: 12 MB
% 2.61/0.97 % (2615200)Instructions burned: 119 (million)
% 2.61/0.97 % (2615210)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=360540637:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615211)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=395026545:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.61/0.97 % (2615213)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2820882447:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.61/0.97 % (2615199)Instruction limit reached!
% 2.61/0.97 % (2615199)------------------------------
% 2.61/0.97 % (2615199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615199)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615199)Termination reason: Instruction limit
% 2.61/0.97 % (2615199)Termination phase: Saturation
% 2.61/0.97 % (2615199)Time elapsed: 0.061 s
% 2.61/0.97 % (2615199)Peak memory usage: 12 MB
% 2.61/0.97 % (2615199)Instructions burned: 104 (million)
% 2.61/0.97 % (2615201)Instruction limit reached!
% 2.61/0.97 % (2615201)------------------------------
% 2.61/0.97 % (2615201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615201)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615201)Termination reason: Instruction limit
% 2.61/0.97 % (2615201)Termination phase: Saturation
% 2.61/0.97 % (2615201)Time elapsed: 0.074 s
% 2.61/0.97 % (2615201)Peak memory usage: 12 MB
% 2.61/0.97 % (2615201)Instructions burned: 131 (million)
% 2.61/0.97 % (2615216)ott-21_1_sil=16000:fs=off:random_seed=1154420396:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.61/0.97 % (2615211)Instruction limit reached!
% 2.61/0.97 % (2615211)------------------------------
% 2.61/0.97 % (2615211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615211)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615211)Termination reason: Instruction limit
% 2.61/0.97 % (2615211)Termination phase: Saturation
% 2.61/0.97 % (2615211)Time elapsed: 0.042 s
% 2.61/0.97 % (2615211)Peak memory usage: 13 MB
% 2.61/0.97 % (2615211)Instructions burned: 131 (million)
% 2.61/0.97 % (2615202)Instruction limit reached!
% 2.61/0.97 % (2615202)------------------------------
% 2.61/0.97 % (2615202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615202)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615202)Termination reason: Instruction limit
% 2.61/0.97 % (2615202)Termination phase: Saturation
% 2.61/0.97 % (2615202)Time elapsed: 0.082 s
% 2.61/0.97 % (2615202)Peak memory usage: 13 MB
% 2.61/0.97 % (2615202)Instructions burned: 159 (million)
% 2.61/0.97 % (2615219)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1250404009:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.61/0.97 % (2615217)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2832089045:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615220)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3367209907:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.61/0.97 % (2615223)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=613914309:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615226)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1313710620:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 2.61/0.97 % (2615216)Instruction limit reached!
% 2.61/0.97 % (2615216)------------------------------
% 2.61/0.97 % (2615216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615216)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615216)Termination reason: Instruction limit
% 2.61/0.97 % (2615216)Termination phase: Saturation
% 2.61/0.97 % (2615216)Time elapsed: 0.090 s
% 2.61/0.97 % (2615216)Peak memory usage: 12 MB
% 2.61/0.97 % (2615216)Instructions burned: 181 (million)
% 2.61/0.97 % (2615228)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=461630827:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.61/0.97 % (2615217)Instruction limit reached!
% 2.61/0.97 % (2615217)------------------------------
% 2.61/0.97 % (2615217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615217)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615217)Termination reason: Instruction limit
% 2.61/0.97 % (2615217)Termination phase: Saturation
% 2.61/0.97 % (2615217)Time elapsed: 0.244 s
% 2.61/0.97 % (2615217)Peak memory usage: 13 MB
% 2.61/0.97 % (2615217)Instructions burned: 479 (million)
% 2.61/0.97 % (2615226)Instruction limit reached!
% 2.61/0.97 % (2615226)------------------------------
% 2.61/0.97 % (2615226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615226)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615226)Termination reason: Instruction limit
% 2.61/0.97 % (2615226)Termination phase: Saturation
% 2.61/0.97 % (2615226)Time elapsed: 0.224 s
% 2.61/0.97 % (2615226)Peak memory usage: 15 MB
% 2.61/0.97 % (2615226)Instructions burned: 696 (million)
% 2.61/0.97 % (2615230)fmb+10_1_sil=64000:random_seed=2831037422:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 2.61/0.97 % (2615231)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2239786161:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 2.61/0.97 % Exception at run slice level% (2615230)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.61/0.97
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615234)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3018017116:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615235)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=20866253:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 2.61/0.97 % (2615237)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3637767627:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 2.61/0.97 % (2615213)Instruction limit reached!
% 2.61/0.97 % (2615213)------------------------------
% 2.61/0.97 % (2615213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615213)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615213)Termination reason: Instruction limit
% 2.61/0.97 % (2615213)Termination phase: Saturation
% 2.61/0.97 % (2615213)Time elapsed: 0.336 s
% 2.61/0.97 % (2615213)Peak memory usage: 15 MB
% 2.61/0.97 % (2615213)Instructions burned: 684 (million)
% 2.61/0.97 % (2615237)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.61/0.97 % (2615240)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1254937381:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615242)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2288905337:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 2.61/0.97 % Exception at run slice level
% 2.61/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.61/0.97 % (2615244)ott-2_1_sil=16000:newcnf=on:random_seed=2410318660:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 2.61/0.97 % (2615220) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2615191-2615220"...
% 2.61/0.97 % (2615220)...printing done.
% 2.61/0.97 % (2615220)Refutation found. Thanks to Tanya!
% 2.61/0.97 % SZS status Theorem for theBenchmark
% 2.61/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/0.97 % (2615220)------------------------------
% 2.61/0.97 % (2615220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.97 % (2615220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.97 % (2615220)CaDiCaL version: 2.1.3
% 2.61/0.97 % (2615220)Termination reason: Refutation
% 2.61/0.97 % (2615220)Time elapsed: 0.408 s
% 2.61/0.97 % (2615220)Peak memory usage: 18 MB
% 2.61/0.97 % (2615220)Instructions burned: 710 (million)
% 2.61/0.97 % (2615191)Success in time 0.559 s
% 2.61/0.97 % Vampire exiting
%------------------------------------------------------------------------------