TSTP Solution File: SWC014-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC014-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 04:35:34 EDT 2024
% Result : Unsatisfiable 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 98 ( 26 unt; 0 def)
% Number of atoms : 230 ( 75 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 257 ( 125 ~; 128 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f462,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f251,f264,f440,f451]) ).
fof(f451,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f449,f205]) ).
fof(f205,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f449,plain,
( ~ ssList(sk4)
| spl0_4 ),
inference(subsumption_resolution,[],[f448,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f448,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| spl0_4 ),
inference(subsumption_resolution,[],[f446,f322]) ).
fof(f322,plain,
nil != sk4,
inference(subsumption_resolution,[],[f321,f282]) ).
fof(f282,plain,
nil != sk3,
inference(subsumption_resolution,[],[f281,f8]) ).
fof(f281,plain,
( nil != sk3
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f269,f244]) ).
fof(f244,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f200,f225]) ).
fof(f225,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,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/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f200,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f269,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f98,f246]) ).
fof(f246,plain,
sk3 = cons(sk5,nil),
inference(subsumption_resolution,[],[f202,f225]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f321,plain,
( nil != sk4
| nil = sk3 ),
inference(subsumption_resolution,[],[f320,f245]) ).
fof(f245,plain,
ssList(sk6),
inference(subsumption_resolution,[],[f201,f225]) ).
fof(f201,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f320,plain,
( nil != sk4
| ~ ssList(sk6)
| nil = sk3 ),
inference(subsumption_resolution,[],[f310,f204]) ).
fof(f204,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f310,plain,
( nil != sk4
| ~ ssList(sk3)
| ~ ssList(sk6)
| nil = sk3 ),
inference(superposition,[],[f118,f248]) ).
fof(f248,plain,
sk4 = app(sk3,sk6),
inference(forward_demodulation,[],[f247,f246]) ).
fof(f247,plain,
sk4 = app(cons(sk5,nil),sk6),
inference(subsumption_resolution,[],[f203,f225]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f446,plain,
( nil = sk4
| ~ ssList(nil)
| ~ ssList(sk4)
| spl0_4 ),
inference(resolution,[],[f242,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f242,plain,
( ~ neq(nil,sk4)
| spl0_4 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl0_4
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f440,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f438,f393]) ).
fof(f393,plain,
( sk4 != app(sk3,app(nil,sk6))
| spl0_2 ),
inference(superposition,[],[f234,f330]) ).
fof(f330,plain,
tl(sk4) = app(nil,sk6),
inference(forward_demodulation,[],[f329,f278]) ).
fof(f278,plain,
nil = tl(sk3),
inference(subsumption_resolution,[],[f277,f244]) ).
fof(f277,plain,
( nil = tl(sk3)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f267,f8]) ).
fof(f267,plain,
( nil = tl(sk3)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f96,f246]) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f329,plain,
tl(sk4) = app(tl(sk3),sk6),
inference(subsumption_resolution,[],[f328,f245]) ).
fof(f328,plain,
( tl(sk4) = app(tl(sk3),sk6)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f327,f204]) ).
fof(f327,plain,
( tl(sk4) = app(tl(sk3),sk6)
| ~ ssList(sk3)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f313,f282]) ).
fof(f313,plain,
( tl(sk4) = app(tl(sk3),sk6)
| nil = sk3
| ~ ssList(sk3)
| ~ ssList(sk6) ),
inference(superposition,[],[f133,f248]) ).
fof(f133,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f234,plain,
( sk4 != app(sk3,tl(sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_2
<=> sk4 = app(sk3,tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f438,plain,
( sk4 = app(sk3,app(nil,sk6))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f437,f246]) ).
fof(f437,plain,
( sk4 = app(cons(sk5,nil),app(nil,sk6))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f436,f244]) ).
fof(f436,plain,
( sk4 = app(cons(sk5,nil),app(nil,sk6))
| ~ ssItem(sk5)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f415,f395]) ).
fof(f395,plain,
( ssList(app(nil,sk6))
| ~ spl0_3 ),
inference(superposition,[],[f237,f330]) ).
fof(f237,plain,
( ssList(tl(sk4))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_3
<=> ssList(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f415,plain,
( sk4 = app(cons(sk5,nil),app(nil,sk6))
| ~ ssList(app(nil,sk6))
| ~ ssItem(sk5) ),
inference(superposition,[],[f120,f346]) ).
fof(f346,plain,
sk4 = cons(sk5,app(nil,sk6)),
inference(forward_demodulation,[],[f345,f330]) ).
fof(f345,plain,
sk4 = cons(sk5,tl(sk4)),
inference(subsumption_resolution,[],[f344,f205]) ).
fof(f344,plain,
( sk4 = cons(sk5,tl(sk4))
| ~ ssList(sk4) ),
inference(subsumption_resolution,[],[f341,f322]) ).
fof(f341,plain,
( sk4 = cons(sk5,tl(sk4))
| nil = sk4
| ~ ssList(sk4) ),
inference(superposition,[],[f104,f326]) ).
fof(f326,plain,
sk5 = hd(sk4),
inference(forward_demodulation,[],[f325,f280]) ).
fof(f280,plain,
sk5 = hd(sk3),
inference(subsumption_resolution,[],[f279,f244]) ).
fof(f279,plain,
( sk5 = hd(sk3)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f268,f8]) ).
fof(f268,plain,
( sk5 = hd(sk3)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f97,f246]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f325,plain,
hd(sk3) = hd(sk4),
inference(subsumption_resolution,[],[f324,f245]) ).
fof(f324,plain,
( hd(sk3) = hd(sk4)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f323,f204]) ).
fof(f323,plain,
( hd(sk3) = hd(sk4)
| ~ ssList(sk3)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f312,f282]) ).
fof(f312,plain,
( hd(sk3) = hd(sk4)
| nil = sk3
| ~ ssList(sk3)
| ~ ssList(sk6) ),
inference(superposition,[],[f123,f248]) ).
fof(f123,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f264,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f261,f8]) ).
fof(f261,plain,
( ~ ssList(nil)
| spl0_3 ),
inference(resolution,[],[f257,f223]) ).
fof(f223,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,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/benchmark/theBenchmark.p',clause115) ).
fof(f257,plain,
( neq(nil,nil)
| spl0_3 ),
inference(superposition,[],[f225,f254]) ).
fof(f254,plain,
( nil = sk4
| spl0_3 ),
inference(subsumption_resolution,[],[f252,f205]) ).
fof(f252,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_3 ),
inference(resolution,[],[f238,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f238,plain,
( ~ ssList(tl(sk4))
| spl0_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f251,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f250,f228,f236]) ).
fof(f228,plain,
( spl0_1
<=> ssList(app(sk3,tl(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f250,plain,
( ~ ssList(tl(sk4))
| spl0_1 ),
inference(subsumption_resolution,[],[f249,f204]) ).
fof(f249,plain,
( ~ ssList(sk3)
| ~ ssList(tl(sk4))
| spl0_1 ),
inference(resolution,[],[f230,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f230,plain,
( ~ ssList(app(sk3,tl(sk4)))
| spl0_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f243,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f226,f240,f236,f232,f228]) ).
fof(f226,plain,
( ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| sk4 != app(sk3,tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(subsumption_resolution,[],[f217,f225]) ).
fof(f217,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| sk4 != app(sk3,tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(equality_resolution,[],[f216]) ).
fof(f216,plain,
! [X7] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| tl(sk4) != X7
| ~ ssList(X7)
| sk4 != app(sk3,X7)
| ~ ssList(app(sk3,X7)) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X6,X7] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,X7) != X6
| tl(sk4) != X7
| ~ ssList(X7)
| sk4 != X6
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f199,f190,f191,f190,f190]) ).
fof(f199,axiom,
! [X6,X7] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| app(sk1,X7) != X6
| tl(sk2) != X7
| ~ ssList(X7)
| sk2 != X6
| ~ ssList(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC014-1 : TPTP v8.2.0. 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 : n013.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 : Sun May 19 03:25:23 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/benchmark/theBenchmark.p
% 0.53/0.73 % (29242)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 (2996ds/83Mi)
% 0.53/0.73 % (29236)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 (2996ds/34Mi)
% 0.53/0.73 % (29238)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.73 % (29237)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 (2996ds/51Mi)
% 0.53/0.73 % (29239)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.73 % (29240)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 (2996ds/34Mi)
% 0.53/0.73 % (29241)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.74 % (29240)Refutation not found, incomplete strategy% (29240)------------------------------
% 0.53/0.74 % (29240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29240)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (29240)Memory used [KB]: 1281
% 0.53/0.74 % (29240)Time elapsed: 0.008 s
% 0.53/0.74 % (29240)Instructions burned: 12 (million)
% 0.53/0.74 % (29240)------------------------------
% 0.53/0.74 % (29240)------------------------------
% 0.53/0.74 % (29241)First to succeed.
% 0.53/0.74 % (29241)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29235"
% 0.53/0.74 % (29238)Also succeeded, but the first one will report.
% 0.53/0.74 % (29241)Refutation found. Thanks to Tanya!
% 0.53/0.74 % SZS status Unsatisfiable for theBenchmark
% 0.53/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.74 % (29241)------------------------------
% 0.53/0.74 % (29241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29241)Termination reason: Refutation
% 0.53/0.74
% 0.53/0.74 % (29241)Memory used [KB]: 1231
% 0.53/0.74 % (29241)Time elapsed: 0.009 s
% 0.53/0.74 % (29241)Instructions burned: 13 (million)
% 0.53/0.74 % (29235)Success in time 0.378 s
% 0.53/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------