TSTP Solution File: LCL796_5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL796_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 : n028.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 07:42:33 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 76
% Syntax : Number of formulae : 94 ( 18 unt; 68 typ; 0 def)
% Number of atoms : 34 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 69 ( 32 >; 37 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 60 ( 60 usr; 29 con; 0-5 aty)
% Number of variables : 64 ( 38 !; 0 ?; 64 :)
% ( 26 !>; 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,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_3,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
bool_size: bool > nat ).
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: ( dB * 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,
nat_size: nat > nat ).
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,
typing: ( fun(nat,type) * dB ) > fun(type,bool) ).
tff(func_def_22,type,
typings: ( fun(nat,type) * list(dB) ) > fun(list(type),bool) ).
tff(func_def_23,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_24,type,
fFalse: bool ).
tff(func_def_25,type,
fTrue: bool ).
tff(func_def_26,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_27,type,
t: type ).
tff(func_def_28,type,
t2: type ).
tff(func_def_29,type,
t_a: type ).
tff(func_def_30,type,
t1: type ).
tff(func_def_31,type,
ts: list(type) ).
tff(func_def_32,type,
a: dB ).
tff(func_def_33,type,
as: list(dB) ).
tff(func_def_34,type,
e: fun(nat,type) ).
tff(func_def_35,type,
ea: fun(nat,type) ).
tff(func_def_36,type,
i: nat ).
tff(func_def_37,type,
ia: nat ).
tff(func_def_38,type,
n: nat ).
tff(func_def_39,type,
rs: list(dB) ).
tff(func_def_40,type,
t3: dB ).
tff(func_def_41,type,
u: dB ).
tff(func_def_42,type,
ua: dB ).
tff(func_def_43,type,
sK0: ( dB * dB * dB ) > dB ).
tff(func_def_44,type,
sK1: ( dB * dB * dB ) > dB ).
tff(func_def_45,type,
sK2: ( dB * dB * dB ) > dB ).
tff(func_def_46,type,
sK3: ( dB * fun(nat,type) ) > type ).
tff(func_def_47,type,
sK4: ( dB * fun(nat,type) ) > type ).
tff(func_def_48,type,
sK5: ( type * dB * fun(nat,type) ) > type ).
tff(func_def_49,type,
sK6: ( type * dB * fun(nat,type) ) > type ).
tff(func_def_50,type,
sK7: ( type * dB * dB * fun(nat,type) ) > type ).
tff(func_def_51,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_52,type,
sK9: type ).
tff(func_def_53,type,
sF10: nat ).
tff(func_def_54,type,
sF11: fun(nat,type) ).
tff(func_def_55,type,
sF12: dB ).
tff(func_def_56,type,
sF13: fun(type,bool) ).
tff(func_def_57,type,
sF14: bool ).
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(f274,plain,
$false,
inference(subsumption_resolution,[],[f273,f247]) ).
tff(f247,plain,
~ pp(sF14),
inference(definition_folding,[],[f185,f246,f245,f244,f242,f243,f242]) ).
tff(f243,plain,
shift(type,e,sF10,t) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
tff(f242,plain,
zero_zero(nat) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
tff(f244,plain,
var(sF10) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
tff(f245,plain,
typing(sF11,sF12) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
tff(f246,plain,
aa(type,bool,sF13,t) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
tff(f185,plain,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t),var(zero_zero(nat))),t)),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t),var(zero_zero(nat))),t)),
inference(flattening,[],[f114]) ).
tff(f114,negated_conjecture,
~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t),var(zero_zero(nat))),t)),
inference(negated_conjecture,[],[f113]) ).
tff(f113,conjecture,
pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t),var(zero_zero(nat))),t)),
file('/export/starexec/sandbox/tmp/tmp.urcyCwitlU/Vampire---4.8_24333',conj_0) ).
tff(f273,plain,
pp(sF14),
inference(forward_demodulation,[],[f272,f246]) ).
tff(f272,plain,
pp(aa(type,bool,sF13,t)),
inference(forward_demodulation,[],[f271,f245]) ).
tff(f271,plain,
pp(aa(type,bool,typing(sF11,sF12),t)),
inference(forward_demodulation,[],[f269,f244]) ).
tff(f269,plain,
pp(aa(type,bool,typing(sF11,var(sF10)),t)),
inference(superposition,[],[f235,f267]) ).
tff(f267,plain,
t = aa(nat,type,sF11,sF10),
inference(superposition,[],[f234,f243]) ).
tff(f234,plain,
! [X0: $tType,X2: fun(nat,X0),X1: X0,X4: nat] : ( aa(nat,X0,shift(X0,X2,X4,X1),X4) = X1 ),
inference(equality_resolution,[],[f200]) ).
tff(f200,plain,
! [X0: $tType,X2: fun(nat,X0),X3: nat,X1: X0,X4: nat] :
( ( aa(nat,X0,shift(X0,X2,X4,X1),X3) = X1 )
| ( X3 != X4 ) ),
inference(cnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0: $tType,X1: X0,X2: fun(nat,X0),X3: nat,X4: nat] :
( ( aa(nat,X0,shift(X0,X2,X4,X1),X3) = X1 )
| ( X3 != X4 ) ),
inference(ennf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: $tType,X1: X0,X2: fun(nat,X0),X3: nat,X4: nat] :
( ( X3 = X4 )
=> ( aa(nat,X0,shift(X0,X2,X4,X1),X3) = X1 ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X0: $tType,X4: X0,X8: fun(nat,X0),X11: nat,X7: nat] :
( ( X7 = X11 )
=> ( aa(nat,X0,shift(X0,X8,X7,X4),X11) = X4 ) ),
file('/export/starexec/sandbox/tmp/tmp.urcyCwitlU/Vampire---4.8_24333',fact_7_shift__eq) ).
tff(f235,plain,
! [X2: fun(nat,type),X1: nat] : pp(aa(type,bool,typing(X2,var(X1)),aa(nat,type,X2,X1))),
inference(equality_resolution,[],[f202]) ).
tff(f202,plain,
! [X2: fun(nat,type),X0: type,X1: nat] :
( pp(aa(type,bool,typing(X2,var(X1)),X0))
| ( aa(nat,type,X2,X1) != X0 ) ),
inference(cnf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0: type,X1: nat,X2: fun(nat,type)] :
( pp(aa(type,bool,typing(X2,var(X1)),X0))
| ( aa(nat,type,X2,X1) != X0 ) ),
inference(ennf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: type,X1: nat,X2: fun(nat,type)] :
( ( aa(nat,type,X2,X1) = X0 )
=> pp(aa(type,bool,typing(X2,var(X1)),X0)) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X4: type,X5: nat,X6: fun(nat,type)] :
( ( aa(nat,type,X6,X5) = X4 )
=> pp(aa(type,bool,typing(X6,var(X5)),X4)) ),
file('/export/starexec/sandbox/tmp/tmp.urcyCwitlU/Vampire---4.8_24333',fact_1_typing_OVar) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : LCL796_5 : TPTP v8.1.2. Released v6.0.0.
% 0.10/0.12 % 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
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 13:51:48 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TF1_THM_EQU_NAR problem
% 0.11/0.32 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.urcyCwitlU/Vampire---4.8_24333
% 0.60/0.78 % (24450)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78 % (24449)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 (2995ds/34Mi)
% 0.60/0.78 % (24447)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (24446)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 (2995ds/51Mi)
% 0.60/0.78 % (24448)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78 % (24445)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 (2995ds/34Mi)
% 0.60/0.78 % (24451)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 (2995ds/83Mi)
% 0.60/0.78 % (24452)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 (2995ds/56Mi)
% 0.60/0.78 % (24451)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.78 % (24452)Refutation not found, incomplete strategy% (24452)------------------------------
% 0.60/0.78 % (24452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (24452)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (24452)Memory used [KB]: 1174
% 0.60/0.78 % (24452)Time elapsed: 0.005 s
% 0.60/0.78 % (24452)Instructions burned: 8 (million)
% 0.60/0.78 % (24452)------------------------------
% 0.60/0.78 % (24452)------------------------------
% 0.60/0.78 % (24451)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.78 % (24450)Refutation not found, incomplete strategy% (24450)------------------------------
% 0.60/0.78 % (24450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (24450)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (24450)Memory used [KB]: 1202
% 0.60/0.78 % (24450)Time elapsed: 0.007 s
% 0.60/0.78 % (24450)Instructions burned: 13 (million)
% 0.60/0.78 % (24450)------------------------------
% 0.60/0.78 % (24450)------------------------------
% 0.60/0.78 % (24453)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.79 % (24449)Refutation not found, incomplete strategy% (24449)------------------------------
% 0.60/0.79 % (24449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (24449)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (24449)Memory used [KB]: 1405
% 0.60/0.79 % (24449)Time elapsed: 0.011 s
% 0.60/0.79 % (24449)Instructions burned: 22 (million)
% 0.60/0.79 % (24451)Refutation not found, incomplete strategy% (24451)------------------------------
% 0.60/0.79 % (24451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (24451)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (24451)Memory used [KB]: 1301
% 0.60/0.79 % (24451)Time elapsed: 0.011 s
% 0.60/0.79 % (24451)Instructions burned: 20 (million)
% 0.60/0.79 % (24449)------------------------------
% 0.60/0.79 % (24449)------------------------------
% 0.60/0.79 % (24454)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.79 % (24451)------------------------------
% 0.60/0.79 % (24451)------------------------------
% 0.60/0.79 % (24455)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.79 % (24456)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.79 % (24448)Instruction limit reached!
% 0.60/0.79 % (24448)------------------------------
% 0.60/0.79 % (24448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (24448)Termination reason: Unknown
% 0.60/0.79 % (24448)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (24448)Memory used [KB]: 1710
% 0.60/0.79 % (24448)Time elapsed: 0.018 s
% 0.60/0.79 % (24448)Instructions burned: 34 (million)
% 0.60/0.79 % (24448)------------------------------
% 0.60/0.79 % (24448)------------------------------
% 0.60/0.79 % (24445)Instruction limit reached!
% 0.60/0.79 % (24445)------------------------------
% 0.60/0.79 % (24445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (24445)Termination reason: Unknown
% 0.60/0.79 % (24445)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (24445)Memory used [KB]: 1345
% 0.60/0.79 % (24445)Time elapsed: 0.019 s
% 0.60/0.79 % (24445)Instructions burned: 34 (million)
% 0.60/0.79 % (24445)------------------------------
% 0.60/0.79 % (24445)------------------------------
% 0.60/0.80 % (24455)First to succeed.
% 0.60/0.80 % (24455)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24443"
% 0.60/0.80 % (24457)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.80 % (24455)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (24455)------------------------------
% 0.60/0.80 % (24455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (24455)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (24455)Memory used [KB]: 1210
% 0.60/0.80 % (24455)Time elapsed: 0.008 s
% 0.60/0.80 % (24455)Instructions burned: 13 (million)
% 0.60/0.80 % (24443)Success in time 0.471 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------