TSTP Solution File: SWC416-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC416-1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 : Tue May 21 04:38:49 EDT 2024
% Result : Unsatisfiable 0.74s 0.90s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 89 ( 14 unt; 0 def)
% Number of atoms : 239 ( 52 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 286 ( 136 ~; 141 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f248,f251,f265,f289,f301,f329,f352,f366,f374]) ).
fof(f374,plain,
( spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f372,f201]) ).
fof(f201,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f372,plain,
( ~ ssList(sk4)
| spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f371,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f371,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f369,f288]) ).
fof(f288,plain,
( nil != sk4
| spl0_8 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl0_8
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f369,plain,
( nil = sk4
| ~ ssList(nil)
| ~ ssList(sk4)
| spl0_5 ),
inference(resolution,[],[f242,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f242,plain,
( ~ neq(nil,sk4)
| spl0_5 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl0_5
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f366,plain,
( spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| spl0_2
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f359,f245]) ).
fof(f245,plain,
sk4 = app(cons(sk5,nil),sk3),
inference(subsumption_resolution,[],[f199,f221]) ).
fof(f221,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f359,plain,
( sk4 != app(cons(sk5,nil),sk3)
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f230,f358]) ).
fof(f358,plain,
( sk5 = hd(sk4)
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f357,f244]) ).
fof(f244,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f198,f221]) ).
fof(f198,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f357,plain,
( sk5 = hd(sk4)
| ~ ssItem(sk5)
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f353,f8]) ).
fof(f353,plain,
( sk5 = hd(sk4)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_10 ),
inference(superposition,[],[f300,f97]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f300,plain,
( hd(sk4) = hd(cons(sk5,nil))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl0_10
<=> hd(sk4) = hd(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f230,plain,
( sk4 != app(cons(hd(sk4),nil),sk3)
| spl0_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_2
<=> sk4 = app(cons(hd(sk4),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f352,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f350,f8]) ).
fof(f350,plain,
( ~ ssList(nil)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f342,f244]) ).
fof(f342,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f336]) ).
fof(f336,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_6 ),
inference(superposition,[],[f99,f280]) ).
fof(f280,plain,
( nil = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl0_6
<=> nil = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f329,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| spl0_7 ),
inference(subsumption_resolution,[],[f327,f244]) ).
fof(f327,plain,
( ~ ssItem(sk5)
| spl0_7 ),
inference(subsumption_resolution,[],[f326,f8]) ).
fof(f326,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_7 ),
inference(resolution,[],[f284,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f284,plain,
( ~ ssList(cons(sk5,nil))
| spl0_7 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl0_7
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f301,plain,
( ~ spl0_7
| spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f296,f298,f278,f282]) ).
fof(f296,plain,
( hd(sk4) = hd(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f269,f200]) ).
fof(f200,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f269,plain,
( hd(sk4) = hd(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3) ),
inference(superposition,[],[f123,f245]) ).
fof(f123,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f289,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f276,f286,f282,f278]) ).
fof(f276,plain,
( nil != sk4
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil) ),
inference(subsumption_resolution,[],[f267,f200]) ).
fof(f267,plain,
( nil != sk4
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| nil = cons(sk5,nil) ),
inference(superposition,[],[f118,f245]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f265,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f262,f8]) ).
fof(f262,plain,
( ~ ssList(nil)
| spl0_4 ),
inference(resolution,[],[f258,f219]) ).
fof(f219,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,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/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f258,plain,
( neq(nil,nil)
| spl0_4 ),
inference(superposition,[],[f221,f254]) ).
fof(f254,plain,
( nil = sk4
| spl0_4 ),
inference(subsumption_resolution,[],[f252,f201]) ).
fof(f252,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_4 ),
inference(resolution,[],[f238,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f238,plain,
( ~ ssItem(hd(sk4))
| spl0_4 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_4
<=> ssItem(hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f251,plain,
( ~ spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f250,f232,f236]) ).
fof(f232,plain,
( spl0_3
<=> ssList(cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f250,plain,
( ~ ssItem(hd(sk4))
| spl0_3 ),
inference(subsumption_resolution,[],[f249,f8]) ).
fof(f249,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_3 ),
inference(resolution,[],[f234,f86]) ).
fof(f234,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_3 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f248,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f247,f224,f232]) ).
fof(f224,plain,
( spl0_1
<=> ssList(app(cons(hd(sk4),nil),sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f247,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_1 ),
inference(subsumption_resolution,[],[f246,f200]) ).
fof(f246,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ ssList(sk3)
| spl0_1 ),
inference(resolution,[],[f226,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f226,plain,
( ~ ssList(app(cons(hd(sk4),nil),sk3))
| spl0_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f243,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f222,f240,f236,f232,f228,f224]) ).
fof(f222,plain,
( ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| sk4 != app(cons(hd(sk4),nil),sk3)
| ~ ssList(app(cons(hd(sk4),nil),sk3)) ),
inference(subsumption_resolution,[],[f213,f221]) ).
fof(f213,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| sk4 != app(cons(hd(sk4),nil),sk3)
| ~ ssList(app(cons(hd(sk4),nil),sk3)) ),
inference(equality_resolution,[],[f212]) ).
fof(f212,plain,
! [X6] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| app(cons(hd(sk4),nil),sk3) != X6
| ~ ssList(cons(hd(sk4),nil))
| sk4 != X6
| ~ ssList(X6) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X6,X7] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| cons(hd(sk4),nil) != X7
| ~ ssItem(hd(sk4))
| app(X7,sk3) != X6
| ~ ssList(X7)
| sk4 != X6
| ~ ssList(X6) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| hd(sk4) != X8
| cons(X8,nil) != X7
| ~ ssItem(X8)
| app(X7,sk3) != X6
| ~ ssList(X7)
| sk4 != X6
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f197,f190,f190,f191,f190]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| hd(sk2) != X8
| cons(X8,nil) != X7
| ~ ssItem(X8)
| app(X7,sk1) != X6
| ~ ssList(X7)
| sk2 != X6
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC416-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14 % 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
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 02:56:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 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/benchmark/theBenchmark.p
% 0.71/0.90 % (1186)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 (2994ds/34Mi)
% 0.71/0.90 % (1188)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.90 % (1189)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.90 % (1187)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 (2994ds/51Mi)
% 0.71/0.90 % (1190)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 (2994ds/34Mi)
% 0.71/0.90 % (1191)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.90 % (1192)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 (2994ds/83Mi)
% 0.71/0.90 % (1193)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 (2994ds/56Mi)
% 0.71/0.90 % (1193)Refutation not found, incomplete strategy% (1193)------------------------------
% 0.71/0.90 % (1193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90 % (1193)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (1193)Memory used [KB]: 1187
% 0.71/0.90 % (1193)Time elapsed: 0.003 s
% 0.71/0.90 % (1193)Instructions burned: 4 (million)
% 0.71/0.90 % (1193)------------------------------
% 0.71/0.90 % (1193)------------------------------
% 0.71/0.90 % (1191)First to succeed.
% 0.71/0.90 % (1190)Refutation not found, incomplete strategy% (1190)------------------------------
% 0.71/0.90 % (1190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90 % (1190)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (1190)Memory used [KB]: 1280
% 0.71/0.90 % (1190)Time elapsed: 0.007 s
% 0.71/0.90 % (1190)Instructions burned: 12 (million)
% 0.71/0.90 % (1191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1185"
% 0.71/0.90 % (1190)------------------------------
% 0.71/0.90 % (1190)------------------------------
% 0.74/0.90 % (1194)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 (2994ds/55Mi)
% 0.74/0.90 % (1191)Refutation found. Thanks to Tanya!
% 0.74/0.90 % SZS status Unsatisfiable for theBenchmark
% 0.74/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.90 % (1191)------------------------------
% 0.74/0.90 % (1191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.90 % (1191)Termination reason: Refutation
% 0.74/0.90
% 0.74/0.90 % (1191)Memory used [KB]: 1230
% 0.74/0.90 % (1191)Time elapsed: 0.007 s
% 0.74/0.90 % (1191)Instructions burned: 9 (million)
% 0.74/0.90 % (1185)Success in time 0.535 s
% 0.74/0.90 % Vampire---4.8 exiting
%------------------------------------------------------------------------------