TSTP Solution File: LCL798_5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL798_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 07:42:34 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 72
% Syntax : Number of formulae : 89 ( 11 unt; 66 typ; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 22 ~; 12 |; 4 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 72 ( 32 >; 40 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 57 ( 57 usr; 26 con; 0-5 aty)
% Number of variables : 60 ( 27 !; 2 ?; 60 :)
% ( 31 !>; 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,
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(X0,fun(X1,X2)) * 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,
beta: fun(dB,fun(dB,bool)) ).
tff(func_def_7,type,
abs: dB > dB ).
tff(func_def_8,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_9,type,
var: nat > dB ).
tff(func_def_10,type,
dB_size: dB > nat ).
tff(func_def_11,type,
lift: fun(dB,fun(nat,dB)) ).
tff(func_def_12,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_13,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_14,type,
foldr:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).
tff(func_def_15,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_16,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),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,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_19,type,
shift:
!>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).
tff(func_def_20,type,
fun1: fun(type,fun(type,type)) ).
tff(func_def_21,type,
type_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(type,fun(type,X0)) * type ) > X0 ) ).
tff(func_def_22,type,
typing: ( fun(nat,type) * dB ) > fun(type,bool) ).
tff(func_def_23,type,
typings: ( fun(nat,type) * list(dB) ) > fun(list(type),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,
fTrue: bool ).
tff(func_def_27,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_28,type,
t2: type ).
tff(func_def_29,type,
t1: type ).
tff(func_def_30,type,
t_a: type ).
tff(func_def_31,type,
t: type ).
tff(func_def_32,type,
ts: list(type) ).
tff(func_def_33,type,
a: dB ).
tff(func_def_34,type,
as: list(dB) ).
tff(func_def_35,type,
e: fun(nat,type) ).
tff(func_def_36,type,
ea: fun(nat,type) ).
tff(func_def_37,type,
i: nat ).
tff(func_def_38,type,
ia: nat ).
tff(func_def_39,type,
n: nat ).
tff(func_def_40,type,
rs: list(dB) ).
tff(func_def_41,type,
t3: dB ).
tff(func_def_42,type,
u: dB ).
tff(func_def_43,type,
ua: dB ).
tff(func_def_44,type,
sK0: ( dB * list(dB) * dB ) > dB ).
tff(func_def_45,type,
sK1: ( dB * list(dB) * dB ) > dB ).
tff(func_def_46,type,
sK2: ( dB * list(dB) * dB ) > list(dB) ).
tff(func_def_47,type,
sK3: ( dB * dB ) > list(dB) ).
tff(func_def_48,type,
sK4: ( dB * list(dB) * dB ) > dB ).
tff(func_def_49,type,
sK5: ( dB * dB * dB ) > dB ).
tff(func_def_50,type,
sK6: ( dB * dB * dB ) > dB ).
tff(func_def_51,type,
sK7: ( dB * dB * dB ) > dB ).
tff(func_def_52,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_53,type,
sK9: type ).
tff(func_def_54,type,
sK10: list(type) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
step1:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * 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(pred_def_5,type,
sQ11_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f345,plain,
$false,
inference(resolution,[],[f342,f240]) ).
tff(f240,plain,
pp(aa(type,bool,typing(shift(type,e,i,t),a),sK9)),
inference(cnf_transformation,[],[f189]) ).
tff(f189,plain,
( pp(aa(type,bool,typing(shift(type,e,i,t),a),sK9))
& pp(aa(type,bool,typing(shift(type,e,i,t),var(n)),aa(type,type,aa(type,fun(type,type),fun1,sK9),foldr(type,type,fun1,ts,t1)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f168,f188]) ).
tff(f188,plain,
( ? [X0: type] :
( pp(aa(type,bool,typing(shift(type,e,i,t),a),X0))
& pp(aa(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,typing(shift(type,e,i,t),a),sK9))
& pp(aa(type,bool,typing(shift(type,e,i,t),var(n)),aa(type,type,aa(type,fun(type,type),fun1,sK9),foldr(type,type,fun1,ts,t1)))) ) ),
introduced(choice_axiom,[]) ).
tff(f168,plain,
? [X0: type] :
( pp(aa(type,bool,typing(shift(type,e,i,t),a),X0))
& pp(aa(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,[],[f141]) ).
tff(f141,plain,
~ ! [X0: type] :
( pp(aa(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,typing(shift(type,e,i,t),a),X0)) ),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
~ ! [X53: type] :
( pp(aa(type,bool,typing(shift(type,e,i,t),var(n)),aa(type,type,aa(type,fun(type,type),fun1,X53),foldr(type,type,fun1,ts,t1))))
=> ~ pp(aa(type,bool,typing(shift(type,e,i,t),a),X53)) ),
file('/export/starexec/sandbox/tmp/tmp.5HzvxCsCkc/Vampire---4.8_18696',fact_51__096_B_Bthesis_O_A_I_B_BT_H_H_O_A_091_124_Ae_060i_058T_062_A_092_060turnstile_062_AVar_An_A_058_AT_H_H_A_092_060Rightarrow_062_ATs_A_061_062_062_AT_H_059_Ae_060i_058T_062_A_092_060turnstile_062_Aa_A_058_AT_H_H_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) ).
tff(f342,plain,
! [X0: type] : ~ pp(aa(type,bool,typing(shift(type,e,i,t),a),X0)),
inference(resolution,[],[f341,f252]) ).
tff(f252,plain,
pp(aa(type,bool,typing(e,u),t)),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
pp(aa(type,bool,typing(e,u),t)),
file('/export/starexec/sandbox/tmp/tmp.5HzvxCsCkc/Vampire---4.8_18696',fact_3_uT) ).
tff(f341,plain,
! [X0: fun(nat,type),X1: type] :
( ~ pp(aa(type,bool,typing(X0,u),t))
| ~ pp(aa(type,bool,typing(shift(type,X0,i,t),a),X1)) ),
inference(subsumption_resolution,[],[f340,f207]) ).
tff(f207,plain,
pp(aa(dB,bool,it,u)),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
pp(aa(dB,bool,it,u)),
file('/export/starexec/sandbox/tmp/tmp.5HzvxCsCkc/Vampire---4.8_18696',fact_2_uIT) ).
tff(f340,plain,
! [X0: fun(nat,type),X1: type] :
( ~ pp(aa(type,bool,typing(X0,u),t))
| ~ pp(aa(dB,bool,it,u))
| ~ pp(aa(type,bool,typing(shift(type,X0,i,t),a),X1)) ),
inference(resolution,[],[f206,f192]) ).
tff(f192,plain,
~ pp(aa(dB,bool,it,subst(a,u,i))),
inference(cnf_transformation,[],[f114]) ).
tff(f114,plain,
~ pp(aa(dB,bool,it,subst(a,u,i))),
inference(flattening,[],[f113]) ).
tff(f113,negated_conjecture,
~ pp(aa(dB,bool,it,subst(a,u,i))),
inference(negated_conjecture,[],[f112]) ).
tff(f112,conjecture,
pp(aa(dB,bool,it,subst(a,u,i))),
file('/export/starexec/sandbox/tmp/tmp.5HzvxCsCkc/Vampire---4.8_18696',conj_0) ).
tff(f206,plain,
! [X2: dB,X3: nat,X0: fun(nat,type),X1: type] :
( pp(aa(dB,bool,it,subst(a,X2,X3)))
| ~ pp(aa(type,bool,typing(X0,X2),t))
| ~ pp(aa(dB,bool,it,X2))
| ~ pp(aa(type,bool,typing(shift(type,X0,X3,t),a),X1)) ),
inference(cnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: fun(nat,type),X1: type,X2: dB,X3: nat] :
( pp(aa(dB,bool,it,subst(a,X2,X3)))
| ~ pp(aa(type,bool,typing(X0,X2),t))
| ~ pp(aa(dB,bool,it,X2))
| ~ pp(aa(type,bool,typing(shift(type,X0,X3,t),a),X1)) ),
inference(flattening,[],[f158]) ).
tff(f158,plain,
! [X0: fun(nat,type),X1: type,X2: dB,X3: nat] :
( pp(aa(dB,bool,it,subst(a,X2,X3)))
| ~ pp(aa(type,bool,typing(X0,X2),t))
| ~ pp(aa(dB,bool,it,X2))
| ~ pp(aa(type,bool,typing(shift(type,X0,X3,t),a),X1)) ),
inference(ennf_transformation,[],[f126]) ).
tff(f126,plain,
! [X0: fun(nat,type),X1: type,X2: dB,X3: nat] :
( pp(aa(type,bool,typing(shift(type,X0,X3,t),a),X1))
=> ( pp(aa(dB,bool,it,X2))
=> ( pp(aa(type,bool,typing(X0,X2),t))
=> pp(aa(dB,bool,it,subst(a,X2,X3))) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X4: fun(nat,type),X5: type,X6: dB,X7: nat] :
( pp(aa(type,bool,typing(shift(type,X4,X7,t),a),X5))
=> ( pp(aa(dB,bool,it,X6))
=> ( pp(aa(type,bool,typing(X4,X6),t))
=> pp(aa(dB,bool,it,subst(a,X6,X7))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5HzvxCsCkc/Vampire---4.8_18696',fact_4__096ALL_Ae_AT_H_Au_Ai_O_Ae_060i_058T_062_A_092_060turnstile_062_Aa_A_058_AT_H_A_N_N_062_AIT_Au_A_N_N_062_Ae_A_092_060turnstile_062_Au_A_058_AT_A_N_N_062_AIT_A_Ia_091u_Pi_093_J_096) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL798_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 13:36:55 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TF1_THM_EQU_NAR problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.5HzvxCsCkc/Vampire---4.8_18696
% 0.60/0.78 % (18806)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)
% 0.60/0.78 % (18809)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)
% 0.60/0.78 % (18811)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)
% 0.60/0.78 % (18808)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.78 % (18807)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)
% 0.60/0.78 % (18810)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)
% 0.60/0.78 % (18813)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)
% 0.60/0.78 % (18812)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)
% 0.60/0.78 % (18812)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.79 % (18806)First to succeed.
% 0.60/0.79 % (18806)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18805"
% 0.60/0.79 % (18812)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.79 % (18811)Refutation not found, incomplete strategy% (18811)------------------------------
% 0.60/0.79 % (18811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (18811)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (18811)Memory used [KB]: 1208
% 0.60/0.79 % (18811)Time elapsed: 0.007 s
% 0.60/0.79 % (18811)Instructions burned: 13 (million)
% 0.60/0.79 % (18811)------------------------------
% 0.60/0.79 % (18811)------------------------------
% 0.60/0.79 % (18806)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (18806)------------------------------
% 0.60/0.79 % (18806)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (18806)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (18806)Memory used [KB]: 1231
% 0.60/0.79 % (18806)Time elapsed: 0.007 s
% 0.60/0.79 % (18806)Instructions burned: 17 (million)
% 0.60/0.79 % (18805)Success in time 0.409 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------