TSTP Solution File: SWC098-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC098-1 : 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 : n016.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 09:48:34 EDT 2024
% Result : Unsatisfiable 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 74 ( 3 unt; 1 typ; 0 def)
% Number of atoms : 472 ( 29 equ)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 294 ( 139 ~; 148 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 244 ( 244 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 25 ( 24 !; 0 ?; 24 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_20,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f326,plain,
$false,
inference(avatar_sat_refutation,[],[f263,f268,f269,f274,f279,f283,f284,f285,f286,f325]) ).
tff(f325,plain,
( ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f324]) ).
tff(f324,plain,
( $false
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f323,f302]) ).
tff(f302,plain,
( memberP(sk4,sk5(sk6))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f301,f267]) ).
tff(f267,plain,
( ssItem(sk6)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f265]) ).
tff(f265,plain,
( spl1_3
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f301,plain,
( memberP(sk4,sk5(sk6))
| ~ ssItem(sk6)
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f300,f278]) ).
tff(f278,plain,
( memberP(sk4,sk6)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f276]) ).
tff(f276,plain,
( spl1_5
<=> memberP(sk4,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f300,plain,
( memberP(sk4,sk5(sk6))
| ~ memberP(sk4,sk6)
| ~ ssItem(sk6)
| ~ spl1_4 ),
inference(resolution,[],[f219,f273]) ).
tff(f273,plain,
( sQ0_eqProxy($i,sk3,cons(sk6,nil))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f271]) ).
tff(f271,plain,
( spl1_4
<=> sQ0_eqProxy($i,sk3,cons(sk6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f219,plain,
! [X6: $i] :
( ~ sQ0_eqProxy($i,sk3,cons(X6,nil))
| memberP(sk4,sk5(X6))
| ~ memberP(sk4,X6)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f208,f217]) ).
tff(f217,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f208,plain,
! [X6: $i] :
( ~ memberP(sk4,X6)
| memberP(sk4,sk5(X6))
| ( sk3 != cons(X6,nil) )
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f193,f190,f190,f191]) ).
tff(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_6) ).
tff(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_5) ).
tff(f193,axiom,
! [X6: $i] :
( ~ memberP(sk2,X6)
| memberP(sk2,sk5(X6))
| ( sk1 != cons(X6,nil) )
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_8) ).
tff(f323,plain,
( ~ memberP(sk4,sk5(sk6))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f322,f305]) ).
tff(f305,plain,
( leq(sk6,sk5(sk6))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f304,f267]) ).
tff(f304,plain,
( leq(sk6,sk5(sk6))
| ~ ssItem(sk6)
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f303,f278]) ).
tff(f303,plain,
( leq(sk6,sk5(sk6))
| ~ memberP(sk4,sk6)
| ~ ssItem(sk6)
| ~ spl1_4 ),
inference(resolution,[],[f220,f273]) ).
tff(f220,plain,
! [X6: $i] :
( ~ sQ0_eqProxy($i,sk3,cons(X6,nil))
| leq(X6,sk5(X6))
| ~ memberP(sk4,X6)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f209,f217]) ).
tff(f209,plain,
! [X6: $i] :
( ~ memberP(sk4,X6)
| leq(X6,sk5(X6))
| ( sk3 != cons(X6,nil) )
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f194,f190,f191]) ).
tff(f194,axiom,
! [X6: $i] :
( ~ memberP(sk2,X6)
| leq(X6,sk5(X6))
| ( sk1 != cons(X6,nil) )
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_9) ).
tff(f322,plain,
( ~ leq(sk6,sk5(sk6))
| ~ memberP(sk4,sk5(sk6))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f320,f299]) ).
tff(f299,plain,
( ssItem(sk5(sk6))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f298,f267]) ).
tff(f298,plain,
( ssItem(sk5(sk6))
| ~ ssItem(sk6)
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f297,f278]) ).
tff(f297,plain,
( ssItem(sk5(sk6))
| ~ memberP(sk4,sk6)
| ~ ssItem(sk6)
| ~ spl1_4 ),
inference(resolution,[],[f218,f273]) ).
tff(f218,plain,
! [X6: $i] :
( ~ sQ0_eqProxy($i,sk3,cons(X6,nil))
| ssItem(sk5(X6))
| ~ memberP(sk4,X6)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f207,f217]) ).
tff(f207,plain,
! [X6: $i] :
( ~ memberP(sk4,X6)
| ssItem(sk5(X6))
| ( sk3 != cons(X6,nil) )
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f192,f190,f191]) ).
tff(f192,axiom,
! [X6: $i] :
( ~ memberP(sk2,X6)
| ssItem(sk5(X6))
| ( sk1 != cons(X6,nil) )
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_7) ).
tff(f320,plain,
( ~ ssItem(sk5(sk6))
| ~ leq(sk6,sk5(sk6))
| ~ memberP(sk4,sk5(sk6))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f314,f282]) ).
tff(f282,plain,
( ! [X6: $i] :
( sQ0_eqProxy($i,sk6,X6)
| ~ ssItem(X6)
| ~ leq(sk6,X6)
| ~ memberP(sk4,X6) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f281,plain,
( spl1_6
<=> ! [X6] :
( ~ leq(sk6,X6)
| ~ ssItem(X6)
| sQ0_eqProxy($i,sk6,X6)
| ~ memberP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f314,plain,
( ~ sQ0_eqProxy($i,sk6,sk5(sk6))
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(resolution,[],[f252,f308]) ).
tff(f308,plain,
( ~ sQ0_eqProxy($i,sk5(sk6),sk6)
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f307,f267]) ).
tff(f307,plain,
( ~ sQ0_eqProxy($i,sk5(sk6),sk6)
| ~ ssItem(sk6)
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f306,f278]) ).
tff(f306,plain,
( ~ sQ0_eqProxy($i,sk5(sk6),sk6)
| ~ memberP(sk4,sk6)
| ~ ssItem(sk6)
| ~ spl1_4 ),
inference(resolution,[],[f221,f273]) ).
tff(f221,plain,
! [X6: $i] :
( ~ sQ0_eqProxy($i,sk3,cons(X6,nil))
| ~ sQ0_eqProxy($i,sk5(X6),X6)
| ~ memberP(sk4,X6)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f210,f217]) ).
tff(f210,plain,
! [X6: $i] :
( ~ memberP(sk4,X6)
| ( sk5(X6) != X6 )
| ( sk3 != cons(X6,nil) )
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f195,f190,f191]) ).
tff(f195,axiom,
! [X6: $i] :
( ~ memberP(sk2,X6)
| ( sk5(X6) != X6 )
| ( sk1 != cons(X6,nil) )
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_10) ).
tff(f252,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f217]) ).
tff(f286,plain,
( spl1_6
| spl1_2 ),
inference(avatar_split_clause,[],[f230,f260,f281]) ).
tff(f260,plain,
( spl1_2
<=> sQ0_eqProxy($i,nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f230,plain,
! [X6: $i] :
( sQ0_eqProxy($i,nil,sk3)
| ~ leq(sk6,X6)
| ~ memberP(sk4,X6)
| sQ0_eqProxy($i,sk6,X6)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f204,f217]) ).
tff(f204,axiom,
! [X6: $i] :
( ( nil = sk3 )
| ~ leq(sk6,X6)
| ~ memberP(sk4,X6)
| ( sk6 = X6 )
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_19) ).
tff(f285,plain,
( spl1_5
| spl1_2 ),
inference(avatar_split_clause,[],[f229,f260,f276]) ).
tff(f229,plain,
( sQ0_eqProxy($i,nil,sk3)
| memberP(sk4,sk6) ),
inference(equality_proxy_replacement,[],[f203,f217]) ).
tff(f203,axiom,
( ( nil = sk3 )
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_18) ).
tff(f284,plain,
( spl1_4
| spl1_2 ),
inference(avatar_split_clause,[],[f228,f260,f271]) ).
tff(f228,plain,
( sQ0_eqProxy($i,nil,sk3)
| sQ0_eqProxy($i,sk3,cons(sk6,nil)) ),
inference(equality_proxy_replacement,[],[f202,f217]) ).
tff(f202,axiom,
( ( nil = sk3 )
| ( sk3 = cons(sk6,nil) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_17) ).
tff(f283,plain,
( spl1_6
| spl1_1 ),
inference(avatar_split_clause,[],[f227,f256,f281]) ).
tff(f256,plain,
( spl1_1
<=> sQ0_eqProxy($i,nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f227,plain,
! [X6: $i] :
( sQ0_eqProxy($i,nil,sk4)
| ~ leq(sk6,X6)
| ~ memberP(sk4,X6)
| sQ0_eqProxy($i,sk6,X6)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f201,f217]) ).
tff(f201,axiom,
! [X6: $i] :
( ( nil = sk4 )
| ~ leq(sk6,X6)
| ~ memberP(sk4,X6)
| ( sk6 = X6 )
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_16) ).
tff(f279,plain,
( spl1_5
| spl1_1 ),
inference(avatar_split_clause,[],[f226,f256,f276]) ).
tff(f226,plain,
( sQ0_eqProxy($i,nil,sk4)
| memberP(sk4,sk6) ),
inference(equality_proxy_replacement,[],[f200,f217]) ).
tff(f200,axiom,
( ( nil = sk4 )
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_15) ).
tff(f274,plain,
( spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f225,f256,f271]) ).
tff(f225,plain,
( sQ0_eqProxy($i,nil,sk4)
| sQ0_eqProxy($i,sk3,cons(sk6,nil)) ),
inference(equality_proxy_replacement,[],[f199,f217]) ).
tff(f199,axiom,
( ( nil = sk4 )
| ( sk3 = cons(sk6,nil) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_14) ).
tff(f269,plain,
( spl1_3
| spl1_2 ),
inference(avatar_split_clause,[],[f224,f260,f265]) ).
tff(f224,plain,
( sQ0_eqProxy($i,nil,sk3)
| ssItem(sk6) ),
inference(equality_proxy_replacement,[],[f198,f217]) ).
tff(f198,axiom,
( ( nil = sk3 )
| ssItem(sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_13) ).
tff(f268,plain,
( spl1_3
| spl1_1 ),
inference(avatar_split_clause,[],[f223,f256,f265]) ).
tff(f223,plain,
( sQ0_eqProxy($i,nil,sk4)
| ssItem(sk6) ),
inference(equality_proxy_replacement,[],[f197,f217]) ).
tff(f197,axiom,
( ( nil = sk4 )
| ssItem(sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_12) ).
tff(f263,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f222,f260,f256]) ).
tff(f222,plain,
( ~ sQ0_eqProxy($i,nil,sk3)
| ~ sQ0_eqProxy($i,nil,sk4) ),
inference(equality_proxy_replacement,[],[f211,f217]) ).
tff(f211,plain,
( ( nil != sk3 )
| ( nil != sk4 ) ),
inference(definition_unfolding,[],[f196,f191,f190]) ).
tff(f196,axiom,
( ( nil != sk1 )
| ( nil != sk2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q29EMEa4pD/Vampire---4.8_5140',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC098-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14 % 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
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 20:35:08 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.Q29EMEa4pD/Vampire---4.8_5140
% 0.55/0.73 % (5248)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)
% 0.55/0.73 % (5250)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (5251)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)
% 0.55/0.73 % (5252)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)
% 0.55/0.73 % (5249)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)
% 0.55/0.73 % (5253)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)
% 0.55/0.73 % (5254)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)
% 0.55/0.73 % (5255)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)
% 0.55/0.74 % (5248)First to succeed.
% 0.55/0.74 % (5248)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5247"
% 0.55/0.74 % (5250)Also succeeded, but the first one will report.
% 0.55/0.74 % (5248)Refutation found. Thanks to Tanya!
% 0.55/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74 % (5248)------------------------------
% 0.55/0.74 % (5248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5248)Termination reason: Refutation
% 0.55/0.74
% 0.55/0.74 % (5248)Memory used [KB]: 1203
% 0.55/0.74 % (5248)Time elapsed: 0.004 s
% 0.55/0.74 % (5248)Instructions burned: 7 (million)
% 0.55/0.74 % (5247)Success in time 0.381 s
% 0.55/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------