TSTP Solution File: SWC227-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC227-1 : 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 : n011.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 20:57:38 EDT 2023
% Result : Unsatisfiable 22.56s 3.64s
% Output : Refutation 22.56s
% 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(f107946,plain,
$false,
inference(avatar_sat_refutation,[],[f52861,f103684,f107945]) ).
fof(f107945,plain,
( ~ spl0_1314
| spl0_1315 ),
inference(avatar_contradiction_clause,[],[f107944]) ).
fof(f107944,plain,
( $false
| ~ spl0_1314
| spl0_1315 ),
inference(subsumption_resolution,[],[f107943,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',co1_1) ).
fof(f107943,plain,
( ~ ssList(sk1)
| ~ spl0_1314
| spl0_1315 ),
inference(subsumption_resolution,[],[f107942,f192]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',co1_7) ).
fof(f107942,plain,
( nil = sk1
| ~ ssList(sk1)
| ~ spl0_1314
| spl0_1315 ),
inference(subsumption_resolution,[],[f107941,f52851]) ).
fof(f52851,plain,
( ssList(cons(skaf83(sk1),nil))
| ~ spl0_1314 ),
inference(avatar_component_clause,[],[f52850]) ).
fof(f52850,plain,
( spl0_1314
<=> ssList(cons(skaf83(sk1),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1314])]) ).
fof(f107941,plain,
( ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1)
| spl0_1315 ),
inference(subsumption_resolution,[],[f107940,f52855]) ).
fof(f52855,plain,
( ~ memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1)))
| spl0_1315 ),
inference(avatar_component_clause,[],[f52854]) ).
fof(f52854,plain,
( spl0_1315
<=> memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1315])]) ).
fof(f107940,plain,
( memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1) ),
inference(equality_resolution,[],[f58491]) ).
fof(f58491,plain,
! [X1] :
( sk1 != X1
| memberP(nil,sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f58490,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',clause12) ).
fof(f58490,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,[],[f58478,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',clause13) ).
fof(f58478,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,[],[f55239,f109]) ).
fof(f109,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',clause109) ).
fof(f55239,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,[],[f55232]) ).
fof(f55232,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,[],[f435,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',clause120) ).
fof(f435,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,[],[f423,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',clause8) ).
fof(f423,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.E1lOWSMyGj/Vampire---4.8_27916',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.E1lOWSMyGj/Vampire---4.8_27916',co1_9) ).
fof(f103684,plain,
( ~ spl0_1314
| ~ spl0_1315 ),
inference(avatar_contradiction_clause,[],[f103683]) ).
fof(f103683,plain,
( $false
| ~ spl0_1314
| ~ spl0_1315 ),
inference(subsumption_resolution,[],[f103682,f186]) ).
fof(f103682,plain,
( ~ ssList(sk1)
| ~ spl0_1314
| ~ spl0_1315 ),
inference(subsumption_resolution,[],[f103681,f192]) ).
fof(f103681,plain,
( nil = sk1
| ~ ssList(sk1)
| ~ spl0_1314
| ~ spl0_1315 ),
inference(subsumption_resolution,[],[f103680,f52851]) ).
fof(f103680,plain,
( ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1)
| ~ spl0_1315 ),
inference(subsumption_resolution,[],[f103679,f52873]) ).
fof(f52873,plain,
( ~ ssItem(sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ spl0_1315 ),
inference(resolution,[],[f52856,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',clause71) ).
fof(f52856,plain,
( memberP(nil,sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ spl0_1315 ),
inference(avatar_component_clause,[],[f52854]) ).
fof(f103679,plain,
( ssItem(sk5(skaf82(sk1),nil,skaf83(sk1)))
| ~ ssList(cons(skaf83(sk1),nil))
| nil = sk1
| ~ ssList(sk1) ),
inference(equality_resolution,[],[f58464]) ).
fof(f58464,plain,
! [X1] :
( sk1 != X1
| ssItem(sk5(skaf82(X1),nil,skaf83(X1)))
| ~ ssList(cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f58463,f12]) ).
fof(f58463,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,[],[f58453,f13]) ).
fof(f58453,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,[],[f55226,f109]) ).
fof(f55226,plain,
! [X0,X1] :
( cons(X0,X1) != sk1
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(duplicate_literal_removal,[],[f55219]) ).
fof(f55219,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,[],[f54842,f120]) ).
fof(f54842,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.E1lOWSMyGj/Vampire---4.8_27916',co1_8) ).
fof(f52861,plain,
spl0_1314,
inference(avatar_contradiction_clause,[],[f52860]) ).
fof(f52860,plain,
( $false
| spl0_1314 ),
inference(subsumption_resolution,[],[f52859,f12]) ).
fof(f52859,plain,
( ~ ssItem(skaf83(sk1))
| spl0_1314 ),
inference(subsumption_resolution,[],[f52858,f8]) ).
fof(f52858,plain,
( ~ ssList(nil)
| ~ ssItem(skaf83(sk1))
| spl0_1314 ),
inference(resolution,[],[f52852,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916',clause86) ).
fof(f52852,plain,
( ~ ssList(cons(skaf83(sk1),nil))
| spl0_1314 ),
inference(avatar_component_clause,[],[f52850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC227-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n011.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 : Mon Aug 28 18:59:55 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.E1lOWSMyGj/Vampire---4.8_27916
% 0.16/0.37 % (28081)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (28084)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)
% 0.23/0.43 % (28089)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)
% 0.23/0.43 % (28087)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (28088)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)
% 0.23/0.43 % (28090)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.43 % (28083)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.43 % (28082)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)
% 0.23/0.44 % (28082)Refutation not found, incomplete strategy% (28082)------------------------------
% 0.23/0.44 % (28082)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (28082)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (28082)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (28082)Memory used [KB]: 5756
% 0.23/0.44 % (28082)Time elapsed: 0.008 s
% 0.23/0.44 % (28082)------------------------------
% 0.23/0.44 % (28082)------------------------------
% 0.23/0.50 % (28091)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)
% 22.56/3.63 % (28090)First to succeed.
% 22.56/3.64 % (28090)Refutation found. Thanks to Tanya!
% 22.56/3.64 % SZS status Unsatisfiable for Vampire---4
% 22.56/3.64 % SZS output start Proof for Vampire---4
% See solution above
% 22.56/3.64 % (28090)------------------------------
% 22.56/3.64 % (28090)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 22.56/3.64 % (28090)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 22.56/3.64 % (28090)Termination reason: Refutation
% 22.56/3.64
% 22.56/3.64 % (28090)Memory used [KB]: 68826
% 22.56/3.64 % (28090)Time elapsed: 3.195 s
% 22.56/3.64 % (28090)------------------------------
% 22.56/3.64 % (28090)------------------------------
% 22.56/3.64 % (28081)Success in time 3.229 s
% 22.56/3.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------