TSTP Solution File: DAT011_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT011_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n002.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 02:18:33 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 54 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 110 ( 26 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 100 ( 36 ~; 35 |; 17 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 172 ( 52 atm; 28 fun; 51 num; 41 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 8 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 7 usr; 8 con; 0-3 aty)
% Number of variables : 56 ( 46 !; 10 ?; 56 :)
% 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_7,type,
sK0: array ).
tff(func_def_8,type,
sK1: array ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(func_def_11,type,
sK4: $int ).
tff(f1826,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f1338,f1410,f1825]) ).
tff(f1825,plain,
~ spl5_5,
inference(avatar_contradiction_clause,[],[f1824]) ).
tff(f1824,plain,
( $false
| ~ spl5_5 ),
inference(evaluation,[],[f1796]) ).
tff(f1796,plain,
( ~ $less(0,3)
| ~ spl5_5 ),
inference(superposition,[],[f23,f1791]) ).
tff(f1791,plain,
( ( 3 = read(sK0,sK4) )
| ~ spl5_5 ),
inference(superposition,[],[f79,f72]) ).
tff(f72,plain,
( ( sK4 = $sum(1,sK3) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f70]) ).
tff(f70,plain,
( spl5_5
<=> ( sK4 = $sum(1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
tff(f79,plain,
3 = read(sK0,$sum(1,sK3)),
inference(superposition,[],[f27,f28]) ).
tff(f28,plain,
sK0 = write(sK1,$sum(1,sK3),3),
inference(forward_demodulation,[],[f25,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f25,plain,
sK0 = write(sK1,$sum(sK3,1),3),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X5: $int] :
( ~ $less(0,read(X0,X5))
& ~ $less($sum(X3,1),X5)
& ~ $less(X5,X2) )
& ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( $less(0,read(X1,X4))
| $less(X3,X4)
| $less(X4,X2) ) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X5: $int] :
( ~ $less(0,read(X0,X5))
& ~ $less($sum(X3,1),X5)
& ~ $less(X5,X2) )
& ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( $less(0,read(X1,X4))
| $less(X3,X4)
| $less(X4,X2) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( ( ~ $less(X3,X4)
& ~ $less(X4,X2) )
=> $less(0,read(X1,X4)) ) )
=> ! [X5: $int] :
( ( ~ $less($sum(X3,1),X5)
& ~ $less(X5,X2) )
=> $less(0,read(X0,X5)) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( ( $lesseq(X4,X3)
& $lesseq(X2,X4) )
=> $greater(read(X1,X4),0) ) )
=> ! [X5: $int] :
( ( $lesseq(X5,$sum(X3,1))
& $lesseq(X2,X5) )
=> $greater(read(X0,X5),0) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( ( $lesseq(X4,X3)
& $lesseq(X2,X4) )
=> $greater(read(X1,X4),0) ) )
=> ! [X5: $int] :
( ( $lesseq(X5,$sum(X3,1))
& $lesseq(X2,X5) )
=> $greater(read(X0,X5),0) ) ),
file('/export/starexec/sandbox/tmp/tmp.XUexkoQWXq/Vampire---4.8_10549',co1) ).
tff(f27,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/sandbox/tmp/tmp.XUexkoQWXq/Vampire---4.8_10549',ax1) ).
tff(f23,plain,
~ $less(0,read(sK0,sK4)),
inference(cnf_transformation,[],[f20]) ).
tff(f1410,plain,
( spl5_5
| spl5_33 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
tff(f1409,plain,
( $false
| spl5_5
| spl5_33 ),
inference(subsumption_resolution,[],[f1408,f23]) ).
tff(f1408,plain,
( $less(0,read(sK0,sK4))
| spl5_5
| spl5_33 ),
inference(forward_demodulation,[],[f1393,f772]) ).
tff(f772,plain,
( ( read(sK0,sK4) = read(sK1,sK4) )
| spl5_5 ),
inference(unit_resulting_resolution,[],[f71,f80]) ).
tff(f80,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(sK0,X0) )
| ( $sum(1,sK3) = X0 ) ),
inference(superposition,[],[f26,f28]) ).
tff(f26,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X3: array,X4: $int,X5: $int,X6: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.XUexkoQWXq/Vampire---4.8_10549',ax2) ).
tff(f71,plain,
( ( sK4 != $sum(1,sK3) )
| spl5_5 ),
inference(avatar_component_clause,[],[f70]) ).
tff(f1393,plain,
( $less(0,read(sK1,sK4))
| spl5_33 ),
inference(unit_resulting_resolution,[],[f21,f1286,f24]) ).
tff(f24,plain,
! [X4: $int] :
( $less(0,read(sK1,X4))
| $less(sK3,X4)
| $less(X4,sK2) ),
inference(cnf_transformation,[],[f20]) ).
tff(f1286,plain,
( ~ $less(sK3,sK4)
| spl5_33 ),
inference(avatar_component_clause,[],[f1285]) ).
tff(f1285,plain,
( spl5_33
<=> $less(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
tff(f21,plain,
~ $less(sK4,sK2),
inference(cnf_transformation,[],[f20]) ).
tff(f1338,plain,
( ~ spl5_6
| ~ spl5_33 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
tff(f1337,plain,
( $false
| ~ spl5_6
| ~ spl5_33 ),
inference(subsumption_resolution,[],[f1336,f76]) ).
tff(f76,plain,
( $less(sK4,$sum(1,sK3))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f74,plain,
( spl5_6
<=> $less(sK4,$sum(1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
tff(f1336,plain,
( ~ $less(sK4,$sum(1,sK3))
| ~ spl5_33 ),
inference(forward_demodulation,[],[f1320,f6]) ).
tff(f1320,plain,
( ~ $less(sK4,$sum(sK3,1))
| ~ spl5_33 ),
inference(unit_resulting_resolution,[],[f1287,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f1287,plain,
( $less(sK3,sK4)
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f1285]) ).
tff(f78,plain,
( spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f67,f74,f70]) ).
tff(f67,plain,
( $less(sK4,$sum(1,sK3))
| ( sK4 = $sum(1,sK3) ) ),
inference(resolution,[],[f29,f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f29,plain,
~ $less($sum(1,sK3),sK4),
inference(forward_demodulation,[],[f22,f6]) ).
tff(f22,plain,
~ $less($sum(sK3,1),sK4),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT011_1 : TPTP v8.1.2. Released v5.0.0.
% 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
% 0.16/0.36 % Computer : n002.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 : Tue Apr 30 16:51:25 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.XUexkoQWXq/Vampire---4.8_10549
% 0.54/0.75 % (10920)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)
% 0.54/0.75 % (10922)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (10921)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)
% 0.54/0.75 % (10924)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)
% 0.54/0.75 % (10923)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)
% 0.54/0.75 % (10925)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)
% 0.54/0.75 % (10926)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)
% 0.54/0.75 % (10927)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 % (10920)Instruction limit reached!
% 0.60/0.76 % (10920)------------------------------
% 0.60/0.76 % (10920)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (10920)Termination reason: Unknown
% 0.60/0.76 % (10920)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (10920)Memory used [KB]: 1152
% 0.60/0.76 % (10920)Time elapsed: 0.020 s
% 0.60/0.76 % (10920)Instructions burned: 34 (million)
% 0.60/0.76 % (10920)------------------------------
% 0.60/0.76 % (10920)------------------------------
% 0.60/0.77 % (10923)Instruction limit reached!
% 0.60/0.77 % (10923)------------------------------
% 0.60/0.77 % (10923)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (10924)Instruction limit reached!
% 0.60/0.77 % (10924)------------------------------
% 0.60/0.77 % (10924)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (10924)Termination reason: Unknown
% 0.60/0.77 % (10924)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (10924)Memory used [KB]: 1272
% 0.60/0.77 % (10924)Time elapsed: 0.021 s
% 0.60/0.77 % (10924)Instructions burned: 34 (million)
% 0.60/0.77 % (10924)------------------------------
% 0.60/0.77 % (10924)------------------------------
% 0.60/0.77 % (10923)Termination reason: Unknown
% 0.60/0.77 % (10923)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (10923)Memory used [KB]: 1302
% 0.60/0.77 % (10923)Time elapsed: 0.021 s
% 0.60/0.77 % (10923)Instructions burned: 34 (million)
% 0.60/0.77 % (10927)Instruction limit reached!
% 0.60/0.77 % (10927)------------------------------
% 0.60/0.77 % (10927)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (10923)------------------------------
% 0.60/0.77 % (10923)------------------------------
% 0.60/0.77 % (10927)Termination reason: Unknown
% 0.60/0.77 % (10927)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (10927)Memory used [KB]: 1362
% 0.60/0.77 % (10927)Time elapsed: 0.019 s
% 0.60/0.77 % (10927)Instructions burned: 56 (million)
% 0.60/0.77 % (10927)------------------------------
% 0.60/0.77 % (10927)------------------------------
% 0.60/0.77 % (10938)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)
% 0.60/0.77 % (10935)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 % (10937)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)
% 0.60/0.77 % (10939)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)
% 0.60/0.78 % (10925)Instruction limit reached!
% 0.60/0.78 % (10925)------------------------------
% 0.60/0.78 % (10925)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (10925)Termination reason: Unknown
% 0.60/0.78 % (10925)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (10925)Memory used [KB]: 1404
% 0.60/0.78 % (10925)Time elapsed: 0.031 s
% 0.60/0.78 % (10925)Instructions burned: 45 (million)
% 0.60/0.78 % (10925)------------------------------
% 0.60/0.78 % (10925)------------------------------
% 0.60/0.78 % (10921)Instruction limit reached!
% 0.60/0.78 % (10921)------------------------------
% 0.60/0.78 % (10921)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (10921)Termination reason: Unknown
% 0.60/0.78 % (10921)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (10921)Memory used [KB]: 1454
% 0.60/0.78 % (10921)Time elapsed: 0.032 s
% 0.60/0.78 % (10921)Instructions burned: 51 (million)
% 0.60/0.78 % (10921)------------------------------
% 0.60/0.78 % (10921)------------------------------
% 0.60/0.78 % (10947)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)
% 0.60/0.78 % (10949)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 Vampire---4 for (2996ds/42Mi)
% 0.60/0.79 % (10926)First to succeed.
% 0.60/0.79 % (10926)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 % (10926)------------------------------
% 0.60/0.79 % (10926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (10926)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (10926)Memory used [KB]: 1524
% 0.60/0.79 % (10926)Time elapsed: 0.046 s
% 0.60/0.79 % (10926)Instructions burned: 73 (million)
% 0.60/0.79 % (10926)------------------------------
% 0.60/0.79 % (10926)------------------------------
% 0.60/0.79 % (10796)Success in time 0.408 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------