TSTP Solution File: LCL800_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL800_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 : n022.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 : Wed May 1 03:20:13 EDT 2024
% Result : Theorem 0.58s 0.78s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 58
% Syntax : Number of formulae : 75 ( 24 unt; 51 typ; 0 def)
% Number of atoms : 24 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 57 ( 28 >; 29 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 12 con; 0-5 aty)
% Number of variables : 57 ( 30 !; 0 ?; 57 :)
% ( 27 !>; 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,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
app: ( dB * dB ) > dB ).
tff(func_def_3,type,
var: nat > dB ).
tff(func_def_4,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_5,type,
dB_rec:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).
tff(func_def_6,type,
dB_size: dB > nat ).
tff(func_def_7,type,
lift: ( dB * nat ) > dB ).
tff(func_def_8,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_9,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_10,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_11,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_12,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_13,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_14,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_15,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).
tff(func_def_16,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_17,type,
sublist:
!>[X0: $tType] : ( ( list(X0) * fun(nat,bool) ) > list(X0) ) ).
tff(func_def_18,type,
suc: nat > nat ).
tff(func_def_19,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_20,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_21,type,
fFalse: bool ).
tff(func_def_22,type,
fTrue: bool ).
tff(func_def_23,type,
a: dB ).
tff(func_def_24,type,
as: list(dB) ).
tff(func_def_25,type,
i: nat ).
tff(func_def_26,type,
n: nat ).
tff(func_def_27,type,
rs: list(dB) ).
tff(func_def_28,type,
t: dB ).
tff(func_def_29,type,
u: dB ).
tff(func_def_30,type,
ua: dB ).
tff(func_def_31,type,
sF0: dB ).
tff(func_def_32,type,
sF1: dB ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
equal_equal:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_8,type,
it: dB > $o ).
tff(pred_def_9,type,
listMem:
!>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).
tff(pred_def_10,type,
member1:
!>[X0: $tType] : ( ( list(X0) * X0 ) > $o ) ).
tff(pred_def_11,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_12,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_13,type,
pp: bool > $o ).
tff(f278,plain,
$false,
inference(subsumption_resolution,[],[f277,f143]) ).
tff(f143,plain,
~ it(sF1),
inference(definition_folding,[],[f124,f142,f141]) ).
tff(f141,plain,
subst(a,u,i) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
tff(f142,plain,
app(u,sF0) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
tff(f124,plain,
~ it(app(u,subst(a,u,i))),
inference(cnf_transformation,[],[f108]) ).
tff(f108,plain,
~ it(app(u,subst(a,u,i))),
inference(flattening,[],[f107]) ).
tff(f107,negated_conjecture,
~ it(app(u,subst(a,u,i))),
inference(negated_conjecture,[],[f106]) ).
tff(f106,conjecture,
it(app(u,subst(a,u,i))),
file('/export/starexec/sandbox/tmp/tmp.pRM2VrUXg9/Vampire---4.8_5089',conj_0) ).
tff(f277,plain,
it(sF1),
inference(forward_demodulation,[],[f276,f142]) ).
tff(f276,plain,
it(app(u,sF0)),
inference(forward_demodulation,[],[f258,f136]) ).
tff(f136,plain,
! [X2: dB,X0: dB,X1: nat] : ( subst(lift(X2,X1),X0,X1) = X2 ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: dB,X1: nat,X2: dB] : ( subst(lift(X2,X1),X0,X1) = X2 ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X6: dB,X5: nat,X4: dB] : ( subst(lift(X4,X5),X6,X5) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.pRM2VrUXg9/Vampire---4.8_5089',fact_13_subst__lift) ).
tff(f258,plain,
it(app(subst(lift(u,zero_zero(nat)),sF0,zero_zero(nat)),sF0)),
inference(superposition,[],[f144,f161]) ).
tff(f161,plain,
! [X2: dB,X0: nat,X1: dB] : ( subst(app(X2,var(X0)),X1,X0) = app(subst(X2,X1,X0),X1) ),
inference(superposition,[],[f131,f135]) ).
tff(f135,plain,
! [X0: dB,X1: nat] : ( subst(var(X1),X0,X1) = X0 ),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
! [X0: dB,X1: nat] : ( subst(var(X1),X0,X1) = X0 ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X7: dB,X5: nat] : ( subst(var(X5),X7,X5) = X7 ),
file('/export/starexec/sandbox/tmp/tmp.pRM2VrUXg9/Vampire---4.8_5089',fact_14_subst__eq) ).
tff(f131,plain,
! [X2: dB,X3: dB,X0: nat,X1: dB] : ( subst(app(X3,X2),X1,X0) = app(subst(X3,X1,X0),subst(X2,X1,X0)) ),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0: nat,X1: dB,X2: dB,X3: dB] : ( subst(app(X3,X2),X1,X0) = app(subst(X3,X1,X0),subst(X2,X1,X0)) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X5: nat,X6: dB,X7: dB,X4: dB] : ( subst(app(X4,X7),X6,X5) = app(subst(X4,X6,X5),subst(X7,X6,X5)) ),
file('/export/starexec/sandbox/tmp/tmp.pRM2VrUXg9/Vampire---4.8_5089',fact_6_subst__App) ).
tff(f144,plain,
it(subst(app(lift(u,zero_zero(nat)),var(zero_zero(nat))),sF0,zero_zero(nat))),
inference(forward_demodulation,[],[f137,f141]) ).
tff(f137,plain,
it(subst(app(lift(u,zero_zero(nat)),var(zero_zero(nat))),subst(a,u,i),zero_zero(nat))),
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
it(subst(app(lift(u,zero_zero(nat)),var(zero_zero(nat))),subst(a,u,i),zero_zero(nat))),
file('/export/starexec/sandbox/tmp/tmp.pRM2VrUXg9/Vampire---4.8_5089',fact_4__096IT_A_I_Ilift_Au_A0_A_092_060degree_062_AVar_A0_J_091a_091u_Pi_093_P0_093_J_096) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL800_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
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:36:13 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.pRM2VrUXg9/Vampire---4.8_5089
% 0.58/0.77 % (5348)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)
% 0.58/0.77 % (5348)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.77 % (5342)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)
% 0.58/0.77 % (5344)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.77 % (5343)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)
% 0.58/0.77 % (5346)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)
% 0.58/0.77 % (5347)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)
% 0.58/0.77 % (5345)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)
% 0.58/0.77 % (5348)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.77 % (5348)Refutation not found, incomplete strategy% (5348)------------------------------
% 0.58/0.77 % (5348)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (5348)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (5348)Memory used [KB]: 1140
% 0.58/0.77 % (5348)Time elapsed: 0.003 s
% 0.58/0.77 % (5348)Instructions burned: 7 (million)
% 0.58/0.77 % (5348)------------------------------
% 0.58/0.77 % (5348)------------------------------
% 0.58/0.77 % (5347)Refutation not found, incomplete strategy% (5347)------------------------------
% 0.58/0.77 % (5347)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (5347)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (5347)Memory used [KB]: 1070
% 0.58/0.77 % (5347)Time elapsed: 0.003 s
% 0.58/0.77 % (5347)Instructions burned: 3 (million)
% 0.58/0.77 % (5347)------------------------------
% 0.58/0.77 % (5347)------------------------------
% 0.58/0.77 % (5342)Refutation not found, incomplete strategy% (5342)------------------------------
% 0.58/0.77 % (5342)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (5342)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (5342)Memory used [KB]: 1091
% 0.58/0.77 % (5342)Time elapsed: 0.004 s
% 0.58/0.77 % (5342)Instructions burned: 4 (million)
% 0.58/0.77 % (5342)------------------------------
% 0.58/0.77 % (5342)------------------------------
% 0.58/0.77 % (5349)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)
% 0.58/0.77 % (5349)Refutation not found, incomplete strategy% (5349)------------------------------
% 0.58/0.77 % (5349)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (5349)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (5349)Memory used [KB]: 1070
% 0.58/0.77 % (5349)Time elapsed: 0.002 s
% 0.58/0.77 % (5349)Instructions burned: 3 (million)
% 0.58/0.77 % (5349)------------------------------
% 0.58/0.77 % (5349)------------------------------
% 0.58/0.77 % (5346)Refutation not found, incomplete strategy% (5346)------------------------------
% 0.58/0.77 % (5346)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (5346)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (5346)Memory used [KB]: 1187
% 0.58/0.77 % (5346)Time elapsed: 0.007 s
% 0.58/0.77 % (5346)Instructions burned: 10 (million)
% 0.58/0.77 % (5346)------------------------------
% 0.58/0.77 % (5346)------------------------------
% 0.58/0.77 % (5352)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 (2996ds/208Mi)
% 0.58/0.77 % (5351)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 (2996ds/50Mi)
% 0.58/0.77 % (5350)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 (2996ds/55Mi)
% 0.58/0.78 % (5353)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 (2996ds/52Mi)
% 0.58/0.78 % (5351)Refutation not found, incomplete strategy% (5351)------------------------------
% 0.58/0.78 % (5351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (5351)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (5351)Memory used [KB]: 1198
% 0.58/0.78 % (5351)Time elapsed: 0.007 s
% 0.58/0.78 % (5351)Instructions burned: 10 (million)
% 0.58/0.78 % (5351)------------------------------
% 0.58/0.78 % (5351)------------------------------
% 0.58/0.78 % (5354)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 (2996ds/518Mi)
% 0.58/0.78 % (5352)First to succeed.
% 0.58/0.78 % (5352)Refutation found. Thanks to Tanya!
% 0.58/0.78 % SZS status Theorem for Vampire---4
% 0.58/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.78 % (5352)------------------------------
% 0.58/0.78 % (5352)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (5352)Termination reason: Refutation
% 0.58/0.78
% 0.58/0.78 % (5352)Memory used [KB]: 1128
% 0.58/0.78 % (5352)Time elapsed: 0.010 s
% 0.58/0.78 % (5352)Instructions burned: 13 (million)
% 0.58/0.78 % (5352)------------------------------
% 0.58/0.78 % (5352)------------------------------
% 0.58/0.78 % (5338)Success in time 0.403 s
% 0.58/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------