TSTP Solution File: DAT073_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT073_1 : TPTP v8.1.2. Released v6.1.0.
% 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 : 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 : Sun May 5 05:04:29 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 58 ( 13 unt; 12 typ; 0 def)
% Number of atoms : 111 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 115 ( 50 ~; 41 |; 10 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 212 ( 74 atm; 16 fun; 57 num; 65 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 11 >; 14 *; 0 +; 0 <<)
% Number of predicates : 10 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 81 ( 81 !; 0 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_2,type,
init: $int > array ).
tff(func_def_3,type,
max: ( array * $int ) > $int ).
tff(func_def_5,type,
rev: ( array * $int ) > array ).
tff(func_def_10,type,
sK0: ( array * array ) > $int ).
tff(func_def_11,type,
sK1: ( array * $int * $int ) > $int ).
tff(func_def_12,type,
sK2: ( array * array * $int ) > $int ).
tff(pred_def_4,type,
sorted: ( array * $int ) > $o ).
tff(pred_def_6,type,
inRange: ( array * $int * $int ) > $o ).
tff(pred_def_7,type,
distinct: ( array * $int ) > $o ).
tff(f1391,plain,
$false,
inference(avatar_sat_refutation,[],[f1260,f1267,f1390]) ).
tff(f1390,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f1389]) ).
tff(f1389,plain,
( $false
| ~ spl3_1 ),
inference(evaluation,[],[f1387]) ).
tff(f1387,plain,
( $less(0,0)
| $less(1,1)
| ~ spl3_1 ),
inference(resolution,[],[f1382,f109]) ).
tff(f109,plain,
! [X0: $int] :
( $less(0,X0)
| $less(X0,1) ),
inference(superposition,[],[f82,f20]) ).
tff(f20,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f82,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f27,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f1382,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,0) )
| ~ spl3_1 ),
inference(evaluation,[],[f1277]) ).
tff(f1277,plain,
( ! [X0: $int] :
( ~ $less(X0,$sum(0,1))
| $less(X0,0) )
| ~ spl3_1 ),
inference(resolution,[],[f1255,f180]) ).
tff(f180,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f175,f23]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f175,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f24,f81]) ).
tff(f81,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f27,f23]) ).
tff(f24,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f1255,plain,
( ! [X2: $int,X1: $int] :
( $less(X2,0)
| ~ $less(X1,X2)
| $less(X1,0) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f1254]) ).
tff(f1254,plain,
( spl3_1
<=> ! [X2: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X2,0)
| $less(X1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f1267,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f1266]) ).
tff(f1266,plain,
( $false
| ~ spl3_2 ),
inference(evaluation,[],[f1263]) ).
tff(f1263,plain,
( $less(0,0)
| ~ spl3_2 ),
inference(resolution,[],[f1258,f85]) ).
tff(f85,plain,
! [X0: $int] :
( $less(-1,X0)
| $less(X0,0) ),
inference(evaluation,[],[f84]) ).
tff(f84,plain,
! [X0: $int] :
( $less(X0,0)
| $less($uminus(1),X0) ),
inference(superposition,[],[f27,f69]) ).
tff(f69,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f22,f28]) ).
tff(f28,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f22,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f1258,plain,
( ! [X0: $int] : ~ $less(X0,0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f1257]) ).
tff(f1257,plain,
( spl3_2
<=> ! [X0: $int] : ~ $less(X0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f1260,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f1252,f1257,f1254]) ).
tff(f1252,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ $less(X2,0)
| ~ $less(X1,X3)
| $less(X1,0)
| $less(X3,0) ),
inference(superposition,[],[f1249,f53]) ).
tff(f53,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.8N14tsdsdO/Vampire---4.8_16015',ax1) ).
tff(f1249,plain,
! [X2: array,X0: $int,X1: $int] :
( ~ $less(read(X2,X0),0)
| ~ $less(X0,X1)
| $less(X0,0)
| $less(X1,0) ),
inference(resolution,[],[f61,f65]) ).
tff(f65,plain,
! [X0: array,X1: $int] :
( inRange(X0,max(X0,X1),X1)
| $less(X1,0) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: array,X1: $int] :
( inRange(X0,max(X0,X1),X1)
| $less(X1,0) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: array,X1: $int] :
( ~ $less(X1,0)
=> inRange(X0,max(X0,X1),X1) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X0: array,X5: $int] :
( ~ $less(X5,0)
=> inRange(X0,max(X0,X5),X5) ),
inference(theory_normalization,[],[f11]) ).
tff(f11,negated_conjecture,
~ ~ ! [X0: array,X5: $int] :
( $greatereq(X5,0)
=> inRange(X0,max(X0,X5),X5) ),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
~ ! [X0: array,X5: $int] :
( $greatereq(X5,0)
=> inRange(X0,max(X0,X5),X5) ),
file('/export/starexec/sandbox2/tmp/tmp.8N14tsdsdO/Vampire---4.8_16015',c1) ).
tff(f61,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ~ inRange(X0,X1,X2)
| $less(X3,0)
| ~ $less(X3,X2)
| ~ $less(read(X0,X3),0) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: array,X1: $int,X2: $int] :
( ! [X3: $int] :
( ( ~ $less(read(X0,X3),0)
& ~ $less(X1,read(X0,X3)) )
| $less(X3,0)
| ~ $less(X3,X2) )
| ~ inRange(X0,X1,X2) ),
inference(flattening,[],[f43]) ).
tff(f43,plain,
! [X0: array,X1: $int,X2: $int] :
( ! [X3: $int] :
( ( ~ $less(read(X0,X3),0)
& ~ $less(X1,read(X0,X3)) )
| $less(X3,0)
| ~ $less(X3,X2) )
| ~ inRange(X0,X1,X2) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: array,X1: $int,X2: $int] :
( inRange(X0,X1,X2)
=> ! [X3: $int] :
( ( ~ $less(X3,0)
& $less(X3,X2) )
=> ( ~ $less(read(X0,X3),0)
& ~ $less(X1,read(X0,X3)) ) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
tff(f35,plain,
! [X0: array,X1: $int,X2: $int] :
( inRange(X0,X1,X2)
<=> ! [X3: $int] :
( ( ~ $less(X3,0)
& $less(X3,X2) )
=> ( ~ $less(read(X0,X3),0)
& ~ $less(X1,read(X0,X3)) ) ) ),
inference(rectify,[],[f14]) ).
tff(f14,plain,
! [X0: array,X7: $int,X5: $int] :
( inRange(X0,X7,X5)
<=> ! [X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,X5) )
=> ( ~ $less(read(X0,X1),0)
& ~ $less(X7,read(X0,X1)) ) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,axiom,
! [X0: array,X7: $int,X5: $int] :
( inRange(X0,X7,X5)
<=> ! [X1: $int] :
( ( $greatereq(X1,0)
& $greater(X5,X1) )
=> ( $greatereq(read(X0,X1),0)
& $greatereq(X7,read(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8N14tsdsdO/Vampire---4.8_16015',inRange) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : DAT073_1 : TPTP v8.1.2. Released v6.1.0.
% 0.13/0.15 % 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 : n022.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 12:46:27 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TF0_THM_EQU_ARI problem
% 0.16/0.37 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.8N14tsdsdO/Vampire---4.8_16015
% 0.60/0.76 % (16536)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)
% 0.60/0.76 % (16529)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)
% 0.60/0.76 % (16531)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (16530)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)
% 0.60/0.76 % (16532)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)
% 0.60/0.76 % (16534)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)
% 0.60/0.76 % (16533)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)
% 0.60/0.76 % (16535)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)
% 0.60/0.77 % (16534)Refutation not found, incomplete strategy% (16534)------------------------------
% 0.60/0.77 % (16534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (16534)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (16534)Memory used [KB]: 1035
% 0.60/0.77 % (16534)Time elapsed: 0.003 s
% 0.60/0.77 % (16532)Refutation not found, incomplete strategy% (16532)------------------------------
% 0.60/0.77 % (16532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (16532)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (16532)Memory used [KB]: 1040
% 0.60/0.77 % (16532)Time elapsed: 0.003 s
% 0.60/0.77 % (16532)Instructions burned: 3 (million)
% 0.60/0.77 % (16534)Instructions burned: 3 (million)
% 0.60/0.77 % (16532)------------------------------
% 0.60/0.77 % (16532)------------------------------
% 0.60/0.77 % (16534)------------------------------
% 0.60/0.77 % (16534)------------------------------
% 0.60/0.77 % (16541)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)
% 0.60/0.77 % (16542)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)
% 0.60/0.78 % (16536)Instruction limit reached!
% 0.60/0.78 % (16536)------------------------------
% 0.60/0.78 % (16536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (16536)Termination reason: Unknown
% 0.60/0.78 % (16536)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (16536)Memory used [KB]: 1438
% 0.60/0.78 % (16536)Time elapsed: 0.017 s
% 0.60/0.78 % (16536)Instructions burned: 58 (million)
% 0.60/0.78 % (16536)------------------------------
% 0.60/0.78 % (16536)------------------------------
% 0.60/0.78 % (16550)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)
% 0.60/0.78 % (16529)Instruction limit reached!
% 0.60/0.78 % (16529)------------------------------
% 0.60/0.78 % (16529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (16529)Termination reason: Unknown
% 0.60/0.78 % (16529)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (16529)Memory used [KB]: 1138
% 0.60/0.78 % (16529)Time elapsed: 0.020 s
% 0.60/0.78 % (16529)Instructions burned: 34 (million)
% 0.60/0.78 % (16529)------------------------------
% 0.60/0.78 % (16529)------------------------------
% 0.60/0.78 % (16533)Instruction limit reached!
% 0.60/0.78 % (16533)------------------------------
% 0.60/0.78 % (16533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (16533)Termination reason: Unknown
% 0.60/0.78 % (16533)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (16533)Memory used [KB]: 1137
% 0.60/0.78 % (16533)Time elapsed: 0.020 s
% 0.60/0.78 % (16533)Instructions burned: 35 (million)
% 0.60/0.78 % (16533)------------------------------
% 0.60/0.78 % (16533)------------------------------
% 0.60/0.79 % (16554)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 % (16555)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)
% 0.60/0.79 % (16530)First to succeed.
% 0.60/0.79 % (16530)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16308"
% 0.60/0.79 % (16530)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 % (16530)------------------------------
% 0.60/0.79 % (16530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (16530)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (16530)Memory used [KB]: 1316
% 0.60/0.79 % (16530)Time elapsed: 0.026 s
% 0.60/0.79 % (16530)Instructions burned: 41 (million)
% 0.60/0.79 % (16308)Success in time 0.413 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------