TSTP Solution File: SWC225-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC225-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Thu Aug 31 20:57:37 EDT 2023
% Result : Unsatisfiable 39.49s 6.03s
% Output : Refutation 39.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 7 unt; 0 def)
% Number of atoms : 173 ( 33 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 236 ( 113 ~; 121 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113611,plain,
$false,
inference(avatar_sat_refutation,[],[f60801,f106665,f113610]) ).
fof(f113610,plain,
( ~ spl0_1616
| spl0_1617 ),
inference(avatar_contradiction_clause,[],[f113609]) ).
fof(f113609,plain,
( $false
| ~ spl0_1616
| spl0_1617 ),
inference(subsumption_resolution,[],[f113608,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',co1_1) ).
fof(f113608,plain,
( ~ ssList(sk1)
| ~ spl0_1616
| spl0_1617 ),
inference(subsumption_resolution,[],[f113607,f192]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',co1_7) ).
fof(f113607,plain,
( nil = sk1
| ~ ssList(sk1)
| ~ spl0_1616
| spl0_1617 ),
inference(subsumption_resolution,[],[f113606,f60791]) ).
fof(f60791,plain,
( ssList(cons(skaf83(sk1),nil))
| ~ spl0_1616 ),
inference(avatar_component_clause,[],[f60790]) ).
fof(f60790,plain,
( spl0_1616
<=> ssList(cons(skaf83(sk1),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1616])]) ).
fof(f113606,plain,
( ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1)
| spl0_1617 ),
inference(subsumption_resolution,[],[f113605,f60795]) ).
fof(f60795,plain,
( ~ memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1)))
| spl0_1617 ),
inference(avatar_component_clause,[],[f60794]) ).
fof(f60794,plain,
( spl0_1617
<=> memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1617])]) ).
fof(f113605,plain,
( memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1) ),
inference(equality_resolution,[],[f66410]) ).
fof(f66410,plain,
! [X1] :
( sk1 != X1
| memberP(nil,sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f66409,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause12) ).
fof(f66409,plain,
! [X1] :
( sk1 != X1
| memberP(nil,sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssItem(skaf83(X1))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f66394,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause13) ).
fof(f66394,plain,
! [X1] :
( sk1 != X1
| ~ ssList(skaf82(X1))
| memberP(nil,sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssItem(skaf83(X1))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f63054,f109]) ).
fof(f109,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause109) ).
fof(f63054,plain,
! [X0,X1] :
( cons(X0,X1) != sk1
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(duplicate_literal_removal,[],[f63047]) ).
fof(f63047,plain,
! [X0,X1] :
( cons(X0,X1) != sk1
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[],[f543,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause120) ).
fof(f543,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(subsumption_resolution,[],[f531,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause8) ).
fof(f531,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk1
| ~ ssList(nil)
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f194,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause74) ).
fof(f194,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(X7,sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',co1_9) ).
fof(f106665,plain,
( ~ spl0_1616
| ~ spl0_1617 ),
inference(avatar_contradiction_clause,[],[f106664]) ).
fof(f106664,plain,
( $false
| ~ spl0_1616
| ~ spl0_1617 ),
inference(subsumption_resolution,[],[f106663,f186]) ).
fof(f106663,plain,
( ~ ssList(sk1)
| ~ spl0_1616
| ~ spl0_1617 ),
inference(subsumption_resolution,[],[f106662,f192]) ).
fof(f106662,plain,
( nil = sk1
| ~ ssList(sk1)
| ~ spl0_1616
| ~ spl0_1617 ),
inference(subsumption_resolution,[],[f106661,f60791]) ).
fof(f106661,plain,
( ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1)
| ~ spl0_1617 ),
inference(subsumption_resolution,[],[f106660,f65129]) ).
fof(f65129,plain,
( ~ ssItem(sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ spl0_1617 ),
inference(resolution,[],[f60796,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause71) ).
fof(f60796,plain,
( memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ spl0_1617 ),
inference(avatar_component_clause,[],[f60794]) ).
fof(f106660,plain,
( ssItem(sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1) ),
inference(equality_resolution,[],[f66314]) ).
fof(f66314,plain,
! [X1] :
( sk1 != X1
| ssItem(sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f66313,f12]) ).
fof(f66313,plain,
! [X1] :
( sk1 != X1
| ssItem(sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssItem(skaf83(X1))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f66298,f13]) ).
fof(f66298,plain,
! [X1] :
( sk1 != X1
| ~ ssList(skaf82(X1))
| ssItem(sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssItem(skaf83(X1))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f63040,f109]) ).
fof(f63040,plain,
! [X0,X1] :
( cons(X0,X1) != sk1
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(duplicate_literal_removal,[],[f63033]) ).
fof(f63033,plain,
! [X0,X1] :
( cons(X0,X1) != sk1
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[],[f62799,f120]) ).
fof(f62799,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(subsumption_resolution,[],[f407,f8]) ).
fof(f407,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk1
| ~ ssList(nil)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f193,f74]) ).
fof(f193,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',co1_8) ).
fof(f60801,plain,
spl0_1616,
inference(avatar_contradiction_clause,[],[f60800]) ).
fof(f60800,plain,
( $false
| spl0_1616 ),
inference(subsumption_resolution,[],[f60799,f12]) ).
fof(f60799,plain,
( ~ ssItem(skaf83(sk1))
| spl0_1616 ),
inference(subsumption_resolution,[],[f60798,f8]) ).
fof(f60798,plain,
( ~ ssList(nil)
| ~ ssItem(skaf83(sk1))
| spl0_1616 ),
inference(resolution,[],[f60792,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576',clause86) ).
fof(f60792,plain,
( ~ ssList(cons(skaf83(sk1),nil))
| spl0_1616 ),
inference(avatar_component_clause,[],[f60790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWC225-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 18:58:35 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.5qDuyizBWo/Vampire---4.8_24576
% 0.11/0.34 % (24683)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.39 % (24690)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.17/0.40 % (24688)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.17/0.40 % (24689)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.17/0.40 % (24684)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.17/0.40 % (24687)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.17/0.40 % (24686)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.17/0.40 % (24685)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.17/0.41 % (24684)Refutation not found, incomplete strategy% (24684)------------------------------
% 0.17/0.41 % (24684)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.41 % (24684)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.41 % (24684)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.41
% 0.17/0.41 % (24684)Memory used [KB]: 5756
% 0.17/0.41 % (24684)Time elapsed: 0.007 s
% 0.17/0.41 % (24684)------------------------------
% 0.17/0.41 % (24684)------------------------------
% 0.17/0.47 % (24691)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 39.49/6.01 % (24690)First to succeed.
% 39.49/6.03 % (24690)Refutation found. Thanks to Tanya!
% 39.49/6.03 % SZS status Unsatisfiable for Vampire---4
% 39.49/6.03 % SZS output start Proof for Vampire---4
% See solution above
% 39.49/6.03 % (24690)------------------------------
% 39.49/6.03 % (24690)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 39.49/6.03 % (24690)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 39.49/6.03 % (24690)Termination reason: Refutation
% 39.49/6.03
% 39.49/6.03 % (24690)Memory used [KB]: 71512
% 39.49/6.03 % (24690)Time elapsed: 5.628 s
% 39.49/6.03 % (24690)------------------------------
% 39.49/6.03 % (24690)------------------------------
% 39.49/6.03 % (24683)Success in time 5.647 s
% 39.49/6.03 % Vampire---4.8 exiting
%------------------------------------------------------------------------------