TSTP Solution File: SWC320-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC320-1 : 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 : n025.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 04:38:07 EDT 2024
% Result : Unsatisfiable 0.68s 0.88s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 52 ( 3 unt; 1 typ; 0 def)
% Number of atoms : 344 ( 23 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 171 ( 83 ~; 79 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 205 ( 205 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 20 ( 19 !; 0 ?; 18 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_20,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f295,plain,
$false,
inference(avatar_sat_refutation,[],[f248,f257,f262,f267,f272,f273,f277,f278,f279,f294]) ).
tff(f294,plain,
( ~ spl1_3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f293]) ).
tff(f293,plain,
( $false
| ~ spl1_3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8 ),
inference(subsumption_resolution,[],[f292,f266]) ).
tff(f266,plain,
( sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f264]) ).
tff(f264,plain,
( spl1_6
<=> sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f292,plain,
( ~ sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_8 ),
inference(subsumption_resolution,[],[f291,f261]) ).
tff(f261,plain,
( ssList(sk6)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f259,plain,
( spl1_5
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f291,plain,
( ~ ssList(sk6)
| ~ sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_3
| ~ spl1_7
| ~ spl1_8 ),
inference(subsumption_resolution,[],[f290,f252]) ).
tff(f252,plain,
( ssItem(sk5)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f250]) ).
tff(f250,plain,
( spl1_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f290,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_7
| ~ spl1_8 ),
inference(resolution,[],[f276,f271]) ).
tff(f271,plain,
( sQ0_eqProxy($i,sk4,app(sk6,cons(sk5,nil)))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f269]) ).
tff(f269,plain,
( spl1_7
<=> sQ0_eqProxy($i,sk4,app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f276,plain,
( ! [X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(X7,cons(X6,nil)))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ sQ0_eqProxy($i,sk3,app(cons(X6,nil),X7)) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f275]) ).
tff(f275,plain,
( spl1_8
<=> ! [X6,X7] :
( ~ sQ0_eqProxy($i,sk4,app(X7,cons(X6,nil)))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ sQ0_eqProxy($i,sk3,app(cons(X6,nil),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f279,plain,
( ~ spl1_1
| spl1_8 ),
inference(avatar_split_clause,[],[f218,f275,f241]) ).
tff(f241,plain,
( spl1_1
<=> sQ0_eqProxy($i,nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f218,plain,
! [X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(X7,cons(X6,nil)))
| ~ sQ0_eqProxy($i,sk3,app(cons(X6,nil),X7))
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ sQ0_eqProxy($i,nil,sk3) ),
inference(equality_proxy_replacement,[],[f206,f211]) ).
tff(f211,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f206,plain,
! [X6: $i,X7: $i] :
( ( sk4 != app(X7,cons(X6,nil)) )
| ( sk3 != app(cons(X6,nil),X7) )
| ~ ssList(X7)
| ~ ssItem(X6)
| ( nil != sk3 ) ),
inference(definition_unfolding,[],[f200,f190,f191,f191]) ).
tff(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
tff(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
tff(f200,axiom,
! [X6: $i,X7: $i] :
( ( sk2 != app(X7,cons(X6,nil)) )
| ( sk1 != app(cons(X6,nil),X7) )
| ~ ssList(X7)
| ~ ssItem(X6)
| ( nil != sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
tff(f278,plain,
( ~ spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f217,f254,f241]) ).
tff(f254,plain,
( spl1_4
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f217,plain,
( neq(sk4,nil)
| ~ sQ0_eqProxy($i,nil,sk3) ),
inference(equality_proxy_replacement,[],[f205,f211]) ).
tff(f205,plain,
( neq(sk4,nil)
| ( nil != sk3 ) ),
inference(definition_unfolding,[],[f199,f190,f191]) ).
tff(f199,axiom,
( neq(sk2,nil)
| ( nil != sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
tff(f277,plain,
( spl1_2
| spl1_8 ),
inference(avatar_split_clause,[],[f216,f275,f245]) ).
tff(f245,plain,
( spl1_2
<=> sQ0_eqProxy($i,nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f216,plain,
! [X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(X7,cons(X6,nil)))
| ~ sQ0_eqProxy($i,sk3,app(cons(X6,nil),X7))
| ~ ssList(X7)
| ~ ssItem(X6)
| sQ0_eqProxy($i,nil,sk4) ),
inference(equality_proxy_replacement,[],[f204,f211]) ).
tff(f204,plain,
! [X6: $i,X7: $i] :
( ( sk4 != app(X7,cons(X6,nil)) )
| ( sk3 != app(cons(X6,nil),X7) )
| ~ ssList(X7)
| ~ ssItem(X6)
| ( nil = sk4 ) ),
inference(definition_unfolding,[],[f198,f190,f191,f190]) ).
tff(f198,axiom,
! [X6: $i,X7: $i] :
( ( sk2 != app(X7,cons(X6,nil)) )
| ( sk1 != app(cons(X6,nil),X7) )
| ~ ssList(X7)
| ~ ssItem(X6)
| ( nil = sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
tff(f273,plain,
( spl1_2
| spl1_4 ),
inference(avatar_split_clause,[],[f215,f254,f245]) ).
tff(f215,plain,
( neq(sk4,nil)
| sQ0_eqProxy($i,nil,sk4) ),
inference(equality_proxy_replacement,[],[f203,f211]) ).
tff(f203,plain,
( neq(sk4,nil)
| ( nil = sk4 ) ),
inference(definition_unfolding,[],[f197,f190,f190]) ).
tff(f197,axiom,
( neq(sk2,nil)
| ( nil = sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
tff(f272,plain,
( spl1_7
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f214,f254,f269]) ).
tff(f214,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy($i,sk4,app(sk6,cons(sk5,nil))) ),
inference(equality_proxy_replacement,[],[f196,f211]) ).
tff(f196,axiom,
( ~ neq(sk4,nil)
| ( sk4 = app(sk6,cons(sk5,nil)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
tff(f267,plain,
( spl1_6
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f213,f254,f264]) ).
tff(f213,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6)) ),
inference(equality_proxy_replacement,[],[f195,f211]) ).
tff(f195,axiom,
( ~ neq(sk4,nil)
| ( sk3 = app(cons(sk5,nil),sk6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
tff(f262,plain,
( spl1_5
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f194,f254,f259]) ).
tff(f194,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
tff(f257,plain,
( spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f193,f254,f250]) ).
tff(f193,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
tff(f248,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f212,f245,f241]) ).
tff(f212,plain,
( ~ sQ0_eqProxy($i,nil,sk4)
| sQ0_eqProxy($i,nil,sk3) ),
inference(equality_proxy_replacement,[],[f192,f211]) ).
tff(f192,axiom,
( ( nil != sk4 )
| ( nil = sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC320-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 02:42:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 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
% 0.68/0.88 % (16328)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)
% 0.68/0.88 % (16325)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)
% 0.68/0.88 % (16327)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.68/0.88 % (16326)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)
% 0.68/0.88 % (16329)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)
% 0.68/0.88 % (16330)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)
% 0.68/0.88 % (16331)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)
% 0.68/0.88 % (16332)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)
% 0.68/0.88 % (16325)First to succeed.
% 0.68/0.88 % (16332)Also succeeded, but the first one will report.
% 0.68/0.88 % (16327)Also succeeded, but the first one will report.
% 0.68/0.88 % (16325)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16324"
% 0.68/0.88 % (16325)Refutation found. Thanks to Tanya!
% 0.68/0.88 % SZS status Unsatisfiable for theBenchmark
% 0.68/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.88 % (16325)------------------------------
% 0.68/0.88 % (16325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.88 % (16325)Termination reason: Refutation
% 0.68/0.88
% 0.68/0.88 % (16325)Memory used [KB]: 1195
% 0.68/0.88 % (16325)Time elapsed: 0.005 s
% 0.68/0.88 % (16325)Instructions burned: 5 (million)
% 0.68/0.88 % (16324)Success in time 0.508 s
% 0.68/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------