TSTP Solution File: SWC109-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC109-1 : 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 : n028.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 03:59:49 EDT 2024
% Result : Unsatisfiable 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 86 ( 8 unt; 0 def)
% Number of atoms : 244 ( 37 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 292 ( 134 ~; 148 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f559,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f248,f253,f258,f263,f272,f273,f275,f291,f292,f310,f473,f482,f553,f558]) ).
fof(f558,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f557,f260,f250,f245,f288]) ).
fof(f288,plain,
( spl0_12
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f245,plain,
( spl0_4
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f250,plain,
( spl0_5
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f260,plain,
( spl0_7
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f557,plain,
( segmentP(sk4,sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f556,f252]) ).
fof(f252,plain,
( ssList(sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f556,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk7)
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f555,f247]) ).
fof(f247,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f555,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f554,f210]) ).
fof(f210,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_1) ).
fof(f554,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f502,f211]) ).
fof(f211,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_2) ).
fof(f502,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_7 ),
inference(superposition,[],[f223,f262]) ).
fof(f262,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f223,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',clause173) ).
fof(f553,plain,
( ~ spl0_3
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f552,f255,f231,f240]) ).
fof(f240,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f231,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f255,plain,
( spl0_6
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f552,plain,
( nil != sk3
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f551,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',clause8) ).
fof(f551,plain,
( nil != sk3
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f321,f233]) ).
fof(f233,plain,
( ssItem(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f321,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_6 ),
inference(superposition,[],[f98,f257]) ).
fof(f257,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',clause98) ).
fof(f482,plain,
( spl0_3
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| spl0_3
| spl0_11 ),
inference(subsumption_resolution,[],[f480,f8]) ).
fof(f480,plain,
( ~ ssList(nil)
| spl0_3
| spl0_11 ),
inference(subsumption_resolution,[],[f479,f210]) ).
fof(f479,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| spl0_3
| spl0_11 ),
inference(subsumption_resolution,[],[f477,f241]) ).
fof(f241,plain,
( nil != sk3
| spl0_3 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f477,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ ssList(nil)
| spl0_11 ),
inference(resolution,[],[f286,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',clause100) ).
fof(f286,plain,
( ~ neq(sk3,nil)
| spl0_11 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl0_11
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f473,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f471,f241]) ).
fof(f471,plain,
( nil = sk3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f469,f210]) ).
fof(f469,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f467,f80]) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',clause80) ).
fof(f467,plain,
( segmentP(nil,sk3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f466,f252]) ).
fof(f466,plain,
( segmentP(nil,sk3)
| ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f465,f247]) ).
fof(f465,plain,
( segmentP(nil,sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f464,f210]) ).
fof(f464,plain,
( segmentP(nil,sk3)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f372,f8]) ).
fof(f372,plain,
( segmentP(nil,sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f223,f313]) ).
fof(f313,plain,
( nil = app(app(sk6,sk3),sk7)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f262,f237]) ).
fof(f237,plain,
( nil = sk4
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_2
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f310,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f307,f8]) ).
fof(f307,plain,
( ~ ssList(nil)
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f296,f229]) ).
fof(f229,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',clause115) ).
fof(f296,plain,
( neq(nil,nil)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f281,f237]) ).
fof(f281,plain,
( neq(sk4,nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl0_10
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f292,plain,
( ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f214,f279,f240]) ).
fof(f214,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f208,f190,f191]) ).
fof(f208,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_23) ).
fof(f291,plain,
( spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f213,f288,f284,f235]) ).
fof(f213,plain,
( ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f207,f190,f191,f191,f190]) ).
fof(f207,axiom,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_22) ).
fof(f275,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f203,f240,f260]) ).
fof(f203,axiom,
( nil = sk3
| sk4 = app(app(sk6,sk3),sk7) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_18) ).
fof(f273,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f201,f240,f250]) ).
fof(f201,axiom,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_16) ).
fof(f272,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f200,f240,f245]) ).
fof(f200,axiom,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_15) ).
fof(f263,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f197,f235,f260]) ).
fof(f197,axiom,
( nil = sk4
| sk4 = app(app(sk6,sk3),sk7) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_12) ).
fof(f258,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f196,f235,f255]) ).
fof(f196,axiom,
( nil = sk4
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_11) ).
fof(f253,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f195,f235,f250]) ).
fof(f195,axiom,
( nil = sk4
| ssList(sk7) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_10) ).
fof(f248,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f194,f235,f245]) ).
fof(f194,axiom,
( nil = sk4
| ssList(sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_9) ).
fof(f238,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f192,f235,f231]) ).
fof(f192,axiom,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox2/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC109-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % 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 : n028.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 : Tue Apr 30 18:38:45 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN 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/tmp/tmp.Ntfo9Et0s2/Vampire---4.8_29302
% 0.54/0.74 % (29505)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)
% 0.54/0.74 % (29507)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)
% 0.54/0.75 % (29500)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 % (29502)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 % (29503)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 % (29504)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 % (29501)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 % (29506)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 % (29505)First to succeed.
% 0.59/0.75 % (29505)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (29505)------------------------------
% 0.59/0.75 % (29505)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (29505)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (29505)Memory used [KB]: 1271
% 0.59/0.75 % (29505)Time elapsed: 0.006 s
% 0.59/0.75 % (29505)Instructions burned: 14 (million)
% 0.59/0.75 % (29505)------------------------------
% 0.59/0.75 % (29505)------------------------------
% 0.59/0.75 % (29473)Success in time 0.391 s
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------