%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT197_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 : 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 12:37:13 PM UTC 2026
% Result : Theorem 2.53s 1.29s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 10 ( 8 usr; 1 prp; 0-6 aty)
% Number of functors : 35 ( 35 usr; 7 con; 0-6 aty)
% Number of variables : 30 ( 29 !; 1 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
arrow_159774573e_indi: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_9,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
arrow_1985332922le_Lin: fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool) ).
tff(func_def_1,type,
arrow_610318064e_Prof: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool) ).
tff(func_def_2,type,
arrow_1158827142_above: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_3,type,
arrow_319942042_below: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_4,type,
arrow_276188178_mkbot: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_5,type,
arrow_424895264_mktop: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_6,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).
tff(func_def_7,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(X1,fun(X0,X2))) ).
tff(func_def_8,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_9,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_10,type,
pi:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,fun(X1,bool)) ) > fun(fun(X0,X1),bool) ) ).
tff(func_def_11,type,
extensional_funcset:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X1,bool) ) > fun(fun(X0,X1),bool) ) ).
tff(func_def_12,type,
order_215145569der_on:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(product_prod(X0,X0),bool),bool) ) ).
tff(func_def_13,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_14,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_15,type,
conversep:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(X1,fun(X0,bool)) ) ).
tff(func_def_16,type,
product_Pair:
!>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).
tff(func_def_17,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X0,X1),X2) * X0 * X1 ) > X2 ) ).
tff(func_def_18,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_19,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_20,type,
id_on:
!>[X0: $tType] : ( fun(X0,bool) > fun(product_prod(X0,X0),bool) ) ).
tff(func_def_21,type,
converse:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > fun(product_prod(X1,X0),bool) ) ).
tff(func_def_22,type,
inv_image:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X1,X0) ) > fun(product_prod(X1,X1),bool) ) ).
tff(func_def_23,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_24,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_25,type,
fFalse: bool ).
tff(func_def_26,type,
fNot: fun(bool,bool) ).
tff(func_def_27,type,
fTrue: bool ).
tff(func_def_28,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_29,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_30,type,
l: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_31,type,
sK0: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_32,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(pred_def_1,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
arrow_1958449194le_IIA: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_4,type,
arrow_987702531ctator: ( fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > $o ).
tff(pred_def_5,type,
arrow_2069624013nimity: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_6,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_7,type,
total_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_8,type,
pp: bool > $o ).
tff(f8,axiom,
arrow_610318064e_Prof = pi(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),top_top(fun(arrow_159774573e_indi,bool)),combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),arrow_159774573e_indi,arrow_1985332922le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_Prof__def) ).
tff(f39,axiom,
! [X0: $tType,X1: $tType,X2: fun(X1,bool),X3: fun(X0,X1),X4: fun(X0,bool)] :
( ! [X5: X0] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X5),X4))
=> pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X3,X5)),X2)) )
=> pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X3),pi(X0,X1,X4,combk(fun(X1,bool),X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_funcsetI) ).
tff(f112,axiom,
! [X0: $tType,X1: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_U) ).
tff(f119,axiom,
pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),l),arrow_1985332922le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f120,conjecture,
pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,l)),arrow_610318064e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f121,negated_conjecture,
~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,l)),arrow_610318064e_Prof)),
inference(negated_conjecture,[status(cth)],[f120]) ).
tff(f122,plain,
~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,l)),arrow_610318064e_Prof)),
inference(flattening,[],[f121]) ).
tff(f127,plain,
! [X0: $tType,X1: $tType,X2: fun(X1,bool),X3: fun(X0,X1),X4: fun(X0,bool)] :
( pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X3),pi(X0,X1,X4,combk(fun(X1,bool),X0,X2))))
| ? [X5: X0] :
( ~ pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X3,X5)),X2))
& pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X5),X4)) ) ),
inference(ennf_transformation,[],[f39]) ).
tff(f133,plain,
! [X0: $tType,X1: $tType,X2: fun(X1,bool),X3: fun(X0,X1),X4: fun(X0,bool)] :
( pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X3),pi(X0,X1,X4,combk(fun(X1,bool),X0,X2))))
| ( ~ pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X3,sK1(X0,X1,X2,X3,X4))),X2))
& pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),sK1(X0,X1,X2,X3,X4)),X4)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X5,sK1(X0,X1,X2,X3,X4))],[f127]) ).
tff(f134,plain,
pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),l),arrow_1985332922le_Lin)),
inference(cnf_transformation,[],[f119]) ).
tff(f135,plain,
~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,l)),arrow_610318064e_Prof)),
inference(cnf_transformation,[],[f122]) ).
tff(f142,plain,
arrow_610318064e_Prof = pi(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),top_top(fun(arrow_159774573e_indi,bool)),combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),arrow_159774573e_indi,arrow_1985332922le_Lin)),
inference(cnf_transformation,[],[f8]) ).
tff(f143,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
inference(cnf_transformation,[],[f112]) ).
tff(f145,plain,
! [X1: $tType,X0: $tType,X2: fun(X1,bool),X3: fun(X0,X1),X4: fun(X0,bool)] :
( pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X3),pi(X0,X1,X4,combk(fun(X1,bool),X0,X2))))
| ~ pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X3,sK1(X0,X1,X2,X3,X4))),X2)) ),
inference(cnf_transformation,[],[f133]) ).
tff(f148,plain,
~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,l)),pi(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),top_top(fun(arrow_159774573e_indi,bool)),combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),arrow_159774573e_indi,arrow_1985332922le_Lin)))),
inference(forward_demodulation,[],[f135,f142]) ).
tff(f150,plain,
~ pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,l),sK1(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_1985332922le_Lin,combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,l),top_top(fun(arrow_159774573e_indi,bool))))),arrow_1985332922le_Lin)),
inference(resolution,[],[f148,f145]) ).
tff(f152,plain,
~ pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),l),arrow_1985332922le_Lin)),
inference(forward_demodulation,[],[f150,f143]) ).
tff(f153,plain,
$false,
inference(forward_subsumption_resolution,[],[f152,f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT197_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 23:58:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.53/1.29 % (1301153)Detected formulas, will run a generic FOF schedule.
% 2.53/1.29 % (1301162)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1135116912:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.53/1.29 % (1301163)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=223879035:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.53/1.29 % (1301161)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2069048484:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.53/1.29 % (1301160)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=3062156436:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.53/1.29 % (1301159)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=909472316:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.53/1.29 % (1301158)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=1563928140:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.53/1.29 % (1301164)dis-21_1_sil=8000:lcm=predicate:random_seed=2086946121: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)
% 2.53/1.29 % (1301161)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.53/1.29 % (1301161)First to succeed.
% 2.53/1.29 % (1301161)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1301153"
% 2.53/1.29 % (1301162)Instruction limit reached!
% 2.53/1.29 % (1301162)------------------------------
% 2.53/1.29 % (1301162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (1301162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (1301162)CaDiCaL version: 2.1.3
% 2.53/1.29 % (1301162)Termination reason: Instruction limit
% 2.53/1.29 % (1301162)Termination phase: Saturation
% 2.53/1.29 % (1301162)Time elapsed: 0.041 s
% 2.53/1.29 % (1301162)Peak memory usage: 89 MB
% 2.53/1.29 % (1301162)Instructions burned: 120 (million)
% 2.53/1.29 % (1301160)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.53/1.29 % (1301163)Instruction limit reached!
% 2.53/1.29 % (1301163)------------------------------
% 2.53/1.29 % (1301163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (1301163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (1301163)CaDiCaL version: 2.1.3
% 2.53/1.29 % (1301163)Termination reason: Instruction limit
% 2.53/1.29 % (1301163)Termination phase: Saturation
% 2.53/1.29 % (1301163)Time elapsed: 0.053 s
% 2.53/1.29 % (1301163)Peak memory usage: 89 MB
% 2.53/1.29 % (1301163)Instructions burned: 142 (million)
% 2.53/1.29 % (1301164)Instruction limit reached!
% 2.53/1.29 % (1301164)------------------------------
% 2.53/1.29 % (1301164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (1301164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (1301164)CaDiCaL version: 2.1.3
% 2.53/1.29 % (1301164)Termination reason: Instruction limit
% 2.53/1.29 % (1301164)Termination phase: Saturation
% 2.53/1.29 % (1301164)Time elapsed: 0.075 s
% 2.53/1.29 % (1301164)Peak memory usage: 89 MB
% 2.53/1.29 % (1301164)Instructions burned: 130 (million)
% 2.53/1.29 % (1301172)lrs+10_1_sil=8000:sp=occurrence:random_seed=170190588:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.53/1.29 % (1301173)lrs+10_1_sil=32000:urr=on:br=off:random_seed=660470231:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.53/1.29 % (1301173)Also succeeded, but the first one will report.
% 2.53/1.29 % (1301174)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2110889805:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.53/1.29 % (1301161)Refutation found. Thanks to Tanya!
% 2.53/1.29 % SZS status Theorem for theBenchmark
% 2.53/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.49 % (1301161)------------------------------
% 3.68/1.49 % (1301161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.49 % (1301161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.49 % (1301161)CaDiCaL version: 2.1.3
% 3.68/1.49 % (1301161)Termination reason: Refutation
% 3.68/1.49 % (1301161)Time elapsed: 0.005 s
% 3.68/1.49 % (1301161)Peak memory usage: 88 MB
% 3.68/1.49 % (1301161)Instructions burned: 5 (million)
% 3.68/1.49 % (1301161)------------------------------
% 3.68/1.49 % (1301161)------------------------------
% 3.68/1.49 % (1301153)Success in time 0.455 s
% 3.68/1.49 % Vampire exiting
%------------------------------------------------------------------------------