TSTP Solution File: SWC218-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC218-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n026.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 09:49:31 EDT 2024
% Result : Unsatisfiable 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 70 ( 16 unt; 0 def)
% Number of atoms : 172 ( 38 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 202 ( 100 ~; 96 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f372,plain,
$false,
inference(avatar_sat_refutation,[],[f217,f267,f281,f287,f323,f334,f371]) ).
fof(f371,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl0_1
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f369,f210]) ).
fof(f210,plain,
( ssList(nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl0_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f369,plain,
( ~ ssList(nil)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f364,f195]) ).
fof(f195,axiom,
ssItem(sk7),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_10) ).
fof(f364,plain,
( ~ ssItem(sk7)
| ~ ssList(nil)
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f362]) ).
fof(f362,plain,
( nil != nil
| ~ ssItem(sk7)
| ~ ssList(nil)
| ~ spl0_8 ),
inference(superposition,[],[f98,f318]) ).
fof(f318,plain,
( nil = cons(sk7,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl0_8
<=> nil = cons(sk7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause98) ).
fof(f334,plain,
( ~ spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f332,f195]) ).
fof(f332,plain,
( ~ ssItem(sk7)
| ~ spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f331,f210]) ).
fof(f331,plain,
( ~ ssList(nil)
| ~ ssItem(sk7)
| spl0_9 ),
inference(resolution,[],[f322,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause86) ).
fof(f322,plain,
( ~ ssList(cons(sk7,nil))
| spl0_9 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl0_9
<=> ssList(cons(sk7,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f323,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f314,f284,f260,f320,f316]) ).
fof(f260,plain,
( spl0_5
<=> nil = app(sk5,cons(sk7,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f284,plain,
( spl0_7
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f314,plain,
( ~ ssList(cons(sk7,nil))
| nil = cons(sk7,nil)
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f313,f199]) ).
fof(f199,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_2) ).
fof(f313,plain,
( ~ ssList(sk4)
| ~ ssList(cons(sk7,nil))
| nil = cons(sk7,nil)
| ~ spl0_5
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f309]) ).
fof(f309,plain,
( nil != nil
| ~ ssList(sk4)
| ~ ssList(cons(sk7,nil))
| nil = cons(sk7,nil)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f119,f300]) ).
fof(f300,plain,
( nil = app(sk4,cons(sk7,nil))
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f262,f298]) ).
fof(f298,plain,
( sk4 = sk5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f293,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_7) ).
fof(f293,plain,
( sk4 = sk5
| ~ ssList(sk5)
| ~ spl0_7 ),
inference(superposition,[],[f291,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause73) ).
fof(f291,plain,
( sk4 = app(sk5,nil)
| ~ spl0_7 ),
inference(backward_demodulation,[],[f194,f286]) ).
fof(f286,plain,
( nil = sk6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f194,axiom,
sk4 = app(sk5,sk6),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_9) ).
fof(f262,plain,
( nil = app(sk5,cons(sk7,nil))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause119) ).
fof(f287,plain,
( spl0_7
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f282,f209,f264,f284]) ).
fof(f264,plain,
( spl0_6
<=> ssList(app(sk5,cons(sk7,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f282,plain,
( ~ ssList(app(sk5,cons(sk7,nil)))
| nil = sk6
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f274,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_8) ).
fof(f274,plain,
( ~ ssList(app(sk5,cons(sk7,nil)))
| ~ ssList(sk6)
| nil = sk6
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f269]) ).
fof(f269,plain,
( nil != nil
| ~ ssList(app(sk5,cons(sk7,nil)))
| ~ ssList(sk6)
| nil = sk6
| ~ spl0_1 ),
inference(superposition,[],[f119,f234]) ).
fof(f234,plain,
( nil = app(app(sk5,cons(sk7,nil)),sk6)
| ~ spl0_1 ),
inference(backward_demodulation,[],[f196,f232]) ).
fof(f232,plain,
( nil = sk3
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f231,f210]) ).
fof(f231,plain,
( nil = sk3
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f226,f198]) ).
fof(f198,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_1) ).
fof(f226,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[],[f100,f200]) ).
fof(f200,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f197,f191]) ).
fof(f197,axiom,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_12) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause100) ).
fof(f196,axiom,
sk3 = app(app(sk5,cons(sk7,nil)),sk6),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',co1_11) ).
fof(f281,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl0_1
| spl0_6 ),
inference(subsumption_resolution,[],[f279,f195]) ).
fof(f279,plain,
( ~ ssItem(sk7)
| ~ spl0_1
| spl0_6 ),
inference(subsumption_resolution,[],[f278,f210]) ).
fof(f278,plain,
( ~ ssList(nil)
| ~ ssItem(sk7)
| spl0_6 ),
inference(resolution,[],[f276,f86]) ).
fof(f276,plain,
( ~ ssList(cons(sk7,nil))
| spl0_6 ),
inference(subsumption_resolution,[],[f275,f192]) ).
fof(f275,plain,
( ~ ssList(sk5)
| ~ ssList(cons(sk7,nil))
| spl0_6 ),
inference(resolution,[],[f266,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause85) ).
fof(f266,plain,
( ~ ssList(app(sk5,cons(sk7,nil)))
| spl0_6 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f258,f209,f264,f260]) ).
fof(f258,plain,
( ~ ssList(app(sk5,cons(sk7,nil)))
| nil = app(sk5,cons(sk7,nil))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f246,f193]) ).
fof(f246,plain,
( ~ ssList(app(sk5,cons(sk7,nil)))
| ~ ssList(sk6)
| nil = app(sk5,cons(sk7,nil))
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
( nil != nil
| ~ ssList(app(sk5,cons(sk7,nil)))
| ~ ssList(sk6)
| nil = app(sk5,cons(sk7,nil))
| ~ spl0_1 ),
inference(superposition,[],[f118,f234]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause118) ).
fof(f217,plain,
spl0_1,
inference(avatar_split_clause,[],[f8,f209]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.FvU2BKN2CC/Vampire---4.8_13749',clause8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC218-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % 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
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:28:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN 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.FvU2BKN2CC/Vampire---4.8_13749
% 0.60/0.76 % (14080)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 % (14073)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 % (14074)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 % (14075)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 % (14076)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 % (14077)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 % (14079)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)
% 0.60/0.76 % (14078)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 % (14080)Refutation not found, incomplete strategy% (14080)------------------------------
% 0.60/0.76 % (14080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (14080)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (14080)Memory used [KB]: 1159
% 0.60/0.76 % (14080)Time elapsed: 0.002 s
% 0.60/0.76 % (14080)Instructions burned: 3 (million)
% 0.60/0.76 % (14080)------------------------------
% 0.60/0.76 % (14080)------------------------------
% 0.60/0.77 % (14085)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 % (14075)First to succeed.
% 0.60/0.77 % (14073)Refutation not found, incomplete strategy% (14073)------------------------------
% 0.60/0.77 % (14073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (14077)Refutation not found, incomplete strategy% (14077)------------------------------
% 0.60/0.77 % (14077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (14077)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (14077)Memory used [KB]: 1346
% 0.60/0.77 % (14077)Time elapsed: 0.008 s
% 0.60/0.77 % (14077)Instructions burned: 14 (million)
% 0.60/0.77 % (14073)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (14073)Memory used [KB]: 1219
% 0.60/0.77 % (14073)Time elapsed: 0.009 s
% 0.60/0.77 % (14073)Instructions burned: 12 (million)
% 0.60/0.77 % (14078)Also succeeded, but the first one will report.
% 0.60/0.77 % (14077)------------------------------
% 0.60/0.77 % (14077)------------------------------
% 0.60/0.77 % (14073)------------------------------
% 0.60/0.77 % (14073)------------------------------
% 0.60/0.77 % (14075)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13910"
% 0.60/0.77 % (14075)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (14075)------------------------------
% 0.60/0.77 % (14075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (14075)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (14075)Memory used [KB]: 1219
% 0.60/0.77 % (14075)Time elapsed: 0.009 s
% 0.60/0.77 % (14075)Instructions burned: 11 (million)
% 0.60/0.77 % (13910)Success in time 0.4 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------