TSTP Solution File: DAT030_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT030_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 05:04:19 EDT 2024
% Result : Theorem 0.52s 0.72s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 107 ( 12 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 101 ( 35 ~; 26 |; 22 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 131 ( 39 atm; 14 fun; 32 num; 46 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 40 !; 18 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_7,type,
sK0: collection ).
tff(func_def_8,type,
sK1: collection ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int > $int ).
tff(func_def_11,type,
sK4: $int > $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f1751,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f1142,f1750]) ).
tff(f1750,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f1749]) ).
tff(f1749,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f1594,f1228]) ).
tff(f1228,plain,
( ~ $less(sK4(1),1)
| ~ spl5_1 ),
inference(superposition,[],[f370,f37]) ).
tff(f37,plain,
( ( 1 = sK2 )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f35]) ).
tff(f35,plain,
( spl5_1
<=> ( 1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f370,plain,
~ $less(sK4(sK2),1),
inference(evaluation,[],[f365]) ).
tff(f365,plain,
~ $less(sK4(sK2),$sum(0,1)),
inference(unit_resulting_resolution,[],[f295,f20]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f295,plain,
$less(0,sK4(sK2)),
inference(unit_resulting_resolution,[],[f253,f29]) ).
tff(f29,plain,
! [X5: $int] :
( ~ in(X5,sK1)
| $less(0,X5) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
? [X0: collection,X1: collection] :
( ? [X6: $int] :
( ~ $less(1,X6)
& in(X6,X0) )
& ! [X2: $int] :
( ? [X3: $int,X4: $int] :
( ( $sum(X3,X4) = X2 )
& in(X4,X1)
& in(X3,X1) )
| ~ in(X2,X0) )
& ! [X5: $int] :
( $less(0,X5)
| ~ in(X5,X1) ) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
? [X0: collection,X1: collection] :
( ? [X6: $int] :
( ~ $less(1,X6)
& in(X6,X0) )
& ! [X2: $int] :
( ? [X3: $int,X4: $int] :
( ( $sum(X3,X4) = X2 )
& in(X4,X1)
& in(X3,X1) )
| ~ in(X2,X0) )
& ! [X5: $int] :
( $less(0,X5)
| ~ in(X5,X1) ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,plain,
~ ! [X0: collection,X1: collection] :
( ( ! [X2: $int] :
( in(X2,X0)
=> ? [X3: $int,X4: $int] :
( ( $sum(X3,X4) = X2 )
& in(X4,X1)
& in(X3,X1) ) )
& ! [X5: $int] :
( in(X5,X1)
=> $less(0,X5) ) )
=> ! [X6: $int] :
( in(X6,X0)
=> $less(1,X6) ) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
~ ! [X0: collection,X1: collection] :
( ( ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int,X5: $int] :
( ( $sum(X4,X5) = X3 )
& in(X5,X1)
& in(X4,X1) ) )
& ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) ) )
=> ! [X6: $int] :
( in(X6,X0)
=> $less(1,X6) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: collection] :
( ( ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int,X5: $int] :
( ( $sum(X4,X5) = X3 )
& in(X5,X1)
& in(X4,X1) ) )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X6: $int] :
( in(X6,X0)
=> $greater(X6,1) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection,X1: collection] :
( ( ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int,X5: $int] :
( ( $sum(X4,X5) = X3 )
& in(X5,X1)
& in(X4,X1) ) )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X6: $int] :
( in(X6,X0)
=> $greater(X6,1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qK4WrHJuuq/Vampire---4.8_6581',co1) ).
tff(f253,plain,
in(sK4(sK2),sK1),
inference(unit_resulting_resolution,[],[f27,f25]) ).
tff(f25,plain,
! [X2: $int] :
( in(sK4(X2),sK1)
| ~ in(X2,sK0) ),
inference(cnf_transformation,[],[f23]) ).
tff(f27,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f23]) ).
tff(f1594,plain,
( $less(sK4(1),1)
| ~ spl5_1 ),
inference(superposition,[],[f995,f37]) ).
tff(f995,plain,
$less(sK4(sK2),sK2),
inference(evaluation,[],[f987]) ).
tff(f987,plain,
$less($sum(0,sK4(sK2)),sK2),
inference(unit_resulting_resolution,[],[f267,f331]) ).
tff(f331,plain,
! [X0: $int] :
( $less($sum(X0,sK4(sK2)),sK2)
| ~ $less(X0,sK3(sK2)) ),
inference(superposition,[],[f17,f255]) ).
tff(f255,plain,
sK2 = $sum(sK3(sK2),sK4(sK2)),
inference(unit_resulting_resolution,[],[f27,f26]) ).
tff(f26,plain,
! [X2: $int] :
( ~ in(X2,sK0)
| ( $sum(sK3(X2),sK4(X2)) = X2 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f17,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f267,plain,
$less(0,sK3(sK2)),
inference(unit_resulting_resolution,[],[f57,f29]) ).
tff(f57,plain,
in(sK3(sK2),sK1),
inference(unit_resulting_resolution,[],[f27,f24]) ).
tff(f24,plain,
! [X2: $int] :
( in(sK3(X2),sK1)
| ~ in(X2,sK0) ),
inference(cnf_transformation,[],[f23]) ).
tff(f1142,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f1141]) ).
tff(f1141,plain,
( $false
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f1134,f995]) ).
tff(f1134,plain,
( ~ $less(sK4(sK2),sK2)
| ~ spl5_2 ),
inference(unit_resulting_resolution,[],[f370,f697]) ).
tff(f697,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,1) )
| ~ spl5_2 ),
inference(resolution,[],[f41,f15]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f41,plain,
( $less(sK2,1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f39]) ).
tff(f39,plain,
( spl5_2
<=> $less(sK2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f43,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f32,f39,f35]) ).
tff(f32,plain,
( $less(sK2,1)
| ( 1 = sK2 ) ),
inference(resolution,[],[f28,f16]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f28,plain,
~ $less(1,sK2),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : DAT030_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.14 % 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
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:56:10 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 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.qK4WrHJuuq/Vampire---4.8_6581
% 0.52/0.69 % (6689)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)
% 0.52/0.69 % (6691)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.69 % (6692)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)
% 0.52/0.69 % (6696)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)
% 0.52/0.69 % (6694)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)
% 0.52/0.69 % (6693)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)
% 0.52/0.69 % (6690)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)
% 0.52/0.69 % (6695)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)
% 0.52/0.70 % (6689)Instruction limit reached!
% 0.52/0.70 % (6689)------------------------------
% 0.52/0.70 % (6689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.70 % (6689)Termination reason: Unknown
% 0.52/0.70 % (6689)Termination phase: Saturation
% 0.52/0.70
% 0.52/0.70 % (6689)Memory used [KB]: 1179
% 0.52/0.70 % (6689)Time elapsed: 0.012 s
% 0.52/0.70 % (6689)Instructions burned: 35 (million)
% 0.52/0.70 % (6689)------------------------------
% 0.52/0.70 % (6689)------------------------------
% 0.52/0.70 % (6697)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)
% 0.52/0.71 % (6692)Instruction limit reached!
% 0.52/0.71 % (6692)------------------------------
% 0.52/0.71 % (6692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71 % (6693)Instruction limit reached!
% 0.52/0.71 % (6693)------------------------------
% 0.52/0.71 % (6693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71 % (6692)Termination reason: Unknown
% 0.52/0.71 % (6692)Termination phase: Saturation
% 0.52/0.71
% 0.52/0.71 % (6692)Memory used [KB]: 1341
% 0.52/0.71 % (6692)Time elapsed: 0.019 s
% 0.52/0.71 % (6692)Instructions burned: 34 (million)
% 0.52/0.71 % (6692)------------------------------
% 0.52/0.71 % (6692)------------------------------
% 0.52/0.71 % (6693)Termination reason: Unknown
% 0.52/0.71 % (6693)Termination phase: Saturation
% 0.52/0.71
% 0.52/0.71 % (6693)Memory used [KB]: 1168
% 0.52/0.71 % (6693)Time elapsed: 0.019 s
% 0.52/0.71 % (6693)Instructions burned: 35 (million)
% 0.52/0.71 % (6693)------------------------------
% 0.52/0.71 % (6693)------------------------------
% 0.52/0.71 % (6699)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)
% 0.52/0.71 % (6698)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)
% 0.52/0.71 % (6696)Instruction limit reached!
% 0.52/0.71 % (6696)------------------------------
% 0.52/0.71 % (6696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71 % (6696)Termination reason: Unknown
% 0.52/0.71 % (6696)Termination phase: Saturation
% 0.52/0.71
% 0.52/0.71 % (6696)Memory used [KB]: 1168
% 0.52/0.71 % (6696)Time elapsed: 0.025 s
% 0.52/0.71 % (6696)Instructions burned: 57 (million)
% 0.52/0.71 % (6696)------------------------------
% 0.52/0.71 % (6696)------------------------------
% 0.52/0.71 % (6694)Instruction limit reached!
% 0.52/0.71 % (6694)------------------------------
% 0.52/0.71 % (6694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71 % (6694)Termination reason: Unknown
% 0.52/0.71 % (6694)Termination phase: Saturation
% 0.52/0.71
% 0.52/0.71 % (6694)Memory used [KB]: 1366
% 0.52/0.71 % (6694)Time elapsed: 0.027 s
% 0.52/0.71 % (6694)Instructions burned: 45 (million)
% 0.52/0.71 % (6694)------------------------------
% 0.52/0.71 % (6694)------------------------------
% 0.52/0.72 % (6700)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)
% 0.52/0.72 % (6690)Instruction limit reached!
% 0.52/0.72 % (6690)------------------------------
% 0.52/0.72 % (6690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72 % (6690)Termination reason: Unknown
% 0.52/0.72 % (6690)Termination phase: Saturation
% 0.52/0.72
% 0.52/0.72 % (6690)Memory used [KB]: 1404
% 0.52/0.72 % (6690)Time elapsed: 0.029 s
% 0.52/0.72 % (6690)Instructions burned: 51 (million)
% 0.52/0.72 % (6690)------------------------------
% 0.52/0.72 % (6690)------------------------------
% 0.52/0.72 % (6697)Instruction limit reached!
% 0.52/0.72 % (6697)------------------------------
% 0.52/0.72 % (6697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72 % (6697)Termination reason: Unknown
% 0.52/0.72 % (6697)Termination phase: Saturation
% 0.52/0.72
% 0.52/0.72 % (6697)Memory used [KB]: 1562
% 0.52/0.72 % (6697)Time elapsed: 0.018 s
% 0.52/0.72 % (6697)Instructions burned: 57 (million)
% 0.52/0.72 % (6697)------------------------------
% 0.52/0.72 % (6697)------------------------------
% 0.52/0.72 % (6701)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)
% 0.52/0.72 % (6702)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)
% 0.52/0.72 % (6695)First to succeed.
% 0.52/0.72 % (6695)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6688"
% 0.52/0.72 % (6695)Refutation found. Thanks to Tanya!
% 0.52/0.72 % SZS status Theorem for Vampire---4
% 0.52/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.72 % (6695)------------------------------
% 0.52/0.72 % (6695)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72 % (6695)Termination reason: Refutation
% 0.52/0.72
% 0.52/0.72 % (6695)Memory used [KB]: 1457
% 0.52/0.72 % (6695)Time elapsed: 0.033 s
% 0.52/0.72 % (6695)Instructions burned: 50 (million)
% 0.52/0.72 % (6688)Success in time 0.355 s
% 0.52/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------