TSTP Solution File: LCL760_5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL760_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:42:14 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 54
% Syntax : Number of formulae : 60 ( 8 unt; 52 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 39 ( 23 >; 16 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 37 ( 37 usr; 12 con; 0-5 aty)
% Number of variables : 39 ( 6 !; 0 ?; 39 :)
% ( 33 !>; 0 ?*; 0 @-; 0 @+)
% 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(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(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_4,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
plus_plus:
!>[X0: $tType] : fun(X0,fun(X0,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,
abs: dB > dB ).
tff(func_def_9,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_10,type,
var: nat > dB ).
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,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_17,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_18,type,
suc: nat > nat ).
tff(func_def_19,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_20,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_21,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_22,type,
fFalse: bool ).
tff(func_def_23,type,
fTrue: bool ).
tff(func_def_24,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_25,type,
ia: nat ).
tff(func_def_26,type,
ja: nat ).
tff(func_def_27,type,
ra: dB ).
tff(func_def_28,type,
s: dB ).
tff(func_def_29,type,
ss: list(dB) ).
tff(func_def_30,type,
sK0: fun(nat,bool) > nat ).
tff(func_def_31,type,
sK1: fun(nat,bool) > nat ).
tff(func_def_32,type,
sK2:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_33,type,
sK3: nat > nat ).
tff(func_def_34,type,
sK4: nat > nat ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_11,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f278,plain,
$false,
inference(subsumption_resolution,[],[f201,f198]) ).
tff(f198,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(X0))),suc(X1))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X0)),X1)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X0)),X1),ss)))),
inference(cnf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(X0))),suc(X1))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X0)),X1)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X0)),X1),ss)))),
inference(rectify,[],[f117]) ).
tff(f117,axiom,
! [X73: nat,X74: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(X73))),suc(X74))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X73)),X74)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X73)),X74),ss)))),
file('/export/starexec/sandbox2/tmp/tmp.LzJO8k0TUh/Vampire---4.8_11641',conj_1) ).
tff(f201,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(flattening,[],[f121]) ).
tff(f121,negated_conjecture,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(negated_conjecture,[],[f120]) ).
tff(f120,conjecture,
pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
file('/export/starexec/sandbox2/tmp/tmp.LzJO8k0TUh/Vampire---4.8_11641',conj_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL760_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 13:53:32 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TF1_THM_EQU_NAR problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.LzJO8k0TUh/Vampire---4.8_11641
% 0.55/0.74 % (11822)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.74 % (11816)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (11818)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (11817)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (11819)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (11820)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (11821)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (11822)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.55/0.74 % (11822)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.55/0.74 % (11823)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.74 % (11819)First to succeed.
% 0.55/0.74 % (11822)Also succeeded, but the first one will report.
% 0.55/0.74 % (11819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11815"
% 0.55/0.75 % (11818)Also succeeded, but the first one will report.
% 0.55/0.75 % (11821)Also succeeded, but the first one will report.
% 0.55/0.75 % (11823)Also succeeded, but the first one will report.
% 0.55/0.75 % (11819)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (11819)------------------------------
% 0.55/0.75 % (11819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (11819)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (11819)Memory used [KB]: 1135
% 0.55/0.75 % (11819)Time elapsed: 0.006 s
% 0.55/0.75 % (11819)Instructions burned: 8 (million)
% 0.55/0.75 % (11815)Success in time 0.37 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------