TSTP Solution File: DAT074_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT074_1 : TPTP v8.2.0. 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 : n011.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 : Mon May 20 19:49:33 EDT 2024
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 45 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 106 ( 30 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 113 ( 40 ~; 49 |; 12 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 192 ( 63 atm; 12 fun; 50 num; 67 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 11 >; 14 *; 0 +; 0 <<)
% Number of predicates : 8 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 74 ( 74 !; 0 ?; 74 :)
% 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 * array * $int ) > $int ).
tff(func_def_12,type,
sK2: ( array * $int * $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(f522,plain,
$false,
inference(evaluation,[],[f518]) ).
tff(f518,plain,
( $less(2,1)
| ( 0 = 1 )
| $less(0,0) ),
inference(superposition,[],[f411,f19]) ).
tff(f19,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f411,plain,
! [X0: $int] :
( $less(2,$sum(1,X0))
| ( 1 = X0 )
| $less(X0,0) ),
inference(superposition,[],[f277,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f277,plain,
! [X0: $int] :
( $less(2,$sum(X0,1))
| ( 1 = X0 )
| $less(X0,0) ),
inference(resolution,[],[f265,f26]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f265,plain,
! [X0: $int] :
( ~ $less(X0,2)
| $less(X0,0)
| ( 1 = X0 ) ),
inference(evaluation,[],[f254]) ).
tff(f254,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,$sum($sum(0,1),1))
| ( $sum(0,1) = X0 ) ),
inference(resolution,[],[f230,f96]) ).
tff(f96,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f83,f77]) ).
tff(f77,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f26,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f83,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f23,f22]) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f230,plain,
! [X0: $int,X1: $int] :
( $less(X0,0)
| $less(X1,0)
| ~ $less(X1,$sum(X0,1))
| ( X0 = X1 ) ),
inference(resolution,[],[f226,f77]) ).
tff(f226,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ $less(X1,X3)
| $less(X1,0)
| $less(X2,0)
| ~ $less(X2,X3)
| ( X1 = X2 ) ),
inference(subsumption_resolution,[],[f225,f52]) ).
tff(f52,plain,
! [X0: $int,X1: $int] : ( read(init(X0),X1) = X0 ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: $int] : ( read(init(X0),X1) = X0 ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: $int,X1: $int] : ( read(init(X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f225,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( read(init(X0),X1) != X0 )
| $less(X2,0)
| $less(X1,0)
| ~ $less(X1,X3)
| ~ $less(X2,X3)
| ( X1 = X2 ) ),
inference(forward_demodulation,[],[f224,f52]) ).
tff(f224,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( read(init(X0),X1) != read(init(X0),X2) )
| $less(X2,0)
| $less(X1,0)
| ~ $less(X1,X3)
| ~ $less(X2,X3)
| ( X1 = X2 ) ),
inference(resolution,[],[f53,f51]) ).
tff(f51,plain,
! [X0: $int,X1: $int] : distinct(init(X0),X1),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X1: $int] : distinct(init(X0),X1),
inference(flattening,[],[f29]) ).
tff(f29,plain,
~ ~ ! [X0: $int,X1: $int] : distinct(init(X0),X1),
inference(rectify,[],[f11]) ).
tff(f11,negated_conjecture,
~ ~ ! [X5: $int,X1: $int] : distinct(init(X5),X1),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
~ ! [X5: $int,X1: $int] : distinct(init(X5),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
tff(f53,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ~ distinct(X0,X1)
| ( read(X0,X3) != read(X0,X2) )
| $less(X2,0)
| $less(X3,0)
| ~ $less(X3,X1)
| ~ $less(X2,X1)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: array,X1: $int] :
( ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( read(X0,X3) != read(X0,X2) )
| $less(X2,0)
| $less(X3,0)
| ~ $less(X3,X1)
| ~ $less(X2,X1) )
| ~ distinct(X0,X1) ),
inference(flattening,[],[f39]) ).
tff(f39,plain,
! [X0: array,X1: $int] :
( ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( read(X0,X3) != read(X0,X2) )
| $less(X2,0)
| $less(X3,0)
| ~ $less(X3,X1)
| ~ $less(X2,X1) )
| ~ distinct(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: array,X1: $int] :
( distinct(X0,X1)
=> ! [X2: $int,X3: $int] :
( ( ~ $less(X2,0)
& ~ $less(X3,0)
& $less(X3,X1)
& $less(X2,X1) )
=> ( ( read(X0,X3) = read(X0,X2) )
=> ( X2 = X3 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
tff(f32,plain,
! [X0: array,X1: $int] :
( distinct(X0,X1)
<=> ! [X2: $int,X3: $int] :
( ( ~ $less(X2,0)
& ~ $less(X3,0)
& $less(X3,X1)
& $less(X2,X1) )
=> ( ( read(X0,X3) = read(X0,X2) )
=> ( X2 = X3 ) ) ) ),
inference(rectify,[],[f15]) ).
tff(f15,plain,
! [X0: array,X5: $int] :
( distinct(X0,X5)
<=> ! [X1: $int,X3: $int] :
( ( ~ $less(X1,0)
& ~ $less(X3,0)
& $less(X3,X5)
& $less(X1,X5) )
=> ( ( read(X0,X3) = read(X0,X1) )
=> ( X1 = X3 ) ) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X0: array,X5: $int] :
( distinct(X0,X5)
<=> ! [X1: $int,X3: $int] :
( ( $greatereq(X1,0)
& $greatereq(X3,0)
& $greater(X5,X3)
& $greater(X5,X1) )
=> ( ( read(X0,X3) = read(X0,X1) )
=> ( X1 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : DAT074_1 : TPTP v8.2.0. Released v6.1.0.
% 0.10/0.14 % 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
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 23:23:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.55/0.73 % (19889)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73 % (19891)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73 % (19884)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73 % (19886)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73 % (19887)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73 % (19888)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73 % (19885)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.73 % (19890)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.73 % (19891)Refutation not found, incomplete strategy% (19891)------------------------------
% 0.55/0.73 % (19891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (19891)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (19891)Memory used [KB]: 1021
% 0.55/0.73 % (19891)Time elapsed: 0.002 s
% 0.55/0.73 % (19891)Instructions burned: 3 (million)
% 0.55/0.73 % (19889)Refutation not found, incomplete strategy% (19889)------------------------------
% 0.55/0.73 % (19889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (19889)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73 % (19891)------------------------------
% 0.55/0.73 % (19891)------------------------------
% 0.55/0.73
% 0.55/0.73 % (19889)Memory used [KB]: 1020
% 0.55/0.73 % (19889)Time elapsed: 0.003 s
% 0.55/0.73 % (19889)Instructions burned: 3 (million)
% 0.55/0.73 % (19889)------------------------------
% 0.55/0.73 % (19889)------------------------------
% 0.55/0.73 % (19887)Refutation not found, incomplete strategy% (19887)------------------------------
% 0.55/0.73 % (19887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (19887)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (19887)Memory used [KB]: 1023
% 0.55/0.73 % (19887)Time elapsed: 0.003 s
% 0.55/0.73 % (19887)Instructions burned: 3 (million)
% 0.55/0.73 % (19884)Refutation not found, incomplete strategy% (19884)------------------------------
% 0.55/0.73 % (19884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (19884)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (19884)Memory used [KB]: 1038
% 0.55/0.73 % (19884)Time elapsed: 0.003 s
% 0.55/0.73 % (19884)Instructions burned: 3 (million)
% 0.55/0.73 % (19887)------------------------------
% 0.55/0.73 % (19887)------------------------------
% 0.55/0.73 % (19884)------------------------------
% 0.55/0.73 % (19884)------------------------------
% 0.55/0.73 % (19888)Refutation not found, incomplete strategy% (19888)------------------------------
% 0.55/0.73 % (19888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (19888)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (19888)Memory used [KB]: 1034
% 0.55/0.73 % (19888)Time elapsed: 0.003 s
% 0.55/0.73 % (19888)Instructions burned: 4 (million)
% 0.55/0.73 % (19888)------------------------------
% 0.55/0.73 % (19888)------------------------------
% 0.55/0.73 % (19892)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.73 % (19894)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.73 % (19895)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 theBenchmark for (2996ds/52Mi)
% 0.55/0.74 % (19896)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 theBenchmark for (2996ds/518Mi)
% 0.55/0.74 % (19894)Refutation not found, incomplete strategy% (19894)------------------------------
% 0.55/0.74 % (19894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (19894)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (19894)Memory used [KB]: 1038
% 0.55/0.74 % (19894)Time elapsed: 0.004 s
% 0.55/0.74 % (19894)Instructions burned: 3 (million)
% 0.55/0.74 % (19894)------------------------------
% 0.55/0.74 % (19894)------------------------------
% 0.55/0.74 % (19896)Refutation not found, incomplete strategy% (19896)------------------------------
% 0.55/0.74 % (19896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (19896)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (19896)Memory used [KB]: 1031
% 0.55/0.74 % (19896)Time elapsed: 0.005 s
% 0.55/0.74 % (19896)Instructions burned: 4 (million)
% 0.55/0.74 % (19896)------------------------------
% 0.55/0.74 % (19896)------------------------------
% 0.55/0.74 % (19897)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.55/0.74 % (19897)Refutation not found, incomplete strategy% (19897)------------------------------
% 0.55/0.74 % (19897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (19897)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (19897)Memory used [KB]: 1034
% 0.55/0.74 % (19897)Time elapsed: 0.002 s
% 0.55/0.74 % (19897)Instructions burned: 4 (million)
% 0.55/0.74 % (19893)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.74 % (19897)------------------------------
% 0.55/0.74 % (19897)------------------------------
% 0.55/0.74 % (19898)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.55/0.74 % (19893)Refutation not found, incomplete strategy% (19893)------------------------------
% 0.55/0.74 % (19893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (19893)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74 % (19899)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.55/0.74
% 0.55/0.74 % (19893)Memory used [KB]: 1048
% 0.55/0.74 % (19893)Time elapsed: 0.004 s
% 0.55/0.74 % (19893)Instructions burned: 4 (million)
% 0.55/0.74 % (19893)------------------------------
% 0.55/0.74 % (19893)------------------------------
% 0.55/0.75 % (19900)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.55/0.75 % (19886)First to succeed.
% 0.55/0.76 % (19886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19883"
% 0.55/0.76 % (19886)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Theorem for theBenchmark
% 0.55/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.76 % (19886)------------------------------
% 0.55/0.76 % (19886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (19886)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (19886)Memory used [KB]: 1273
% 0.55/0.76 % (19886)Time elapsed: 0.028 s
% 0.55/0.76 % (19886)Instructions burned: 44 (million)
% 0.55/0.76 % (19883)Success in time 0.396 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------