TSTP Solution File: SWC392-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC392-1 : 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 : n002.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 20:59:00 EDT 2023
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 59 ( 7 unt; 0 def)
% Number of atoms : 145 ( 34 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 150 ( 64 ~; 80 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 8 (; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f681,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f248,f255,f265,f268,f295,f309,f618,f680]) ).
fof(f680,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f679,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(subsumption_resolution,[],[f678,f608]) ).
fof(f608,plain,
( sk5 != sk6
| spl0_11 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f607,plain,
( spl0_11
<=> sk5 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f678,plain,
( sk5 = sk6
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f676,f192]) ).
fof(f192,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_7) ).
fof(f676,plain,
( ~ ssItem(sk5)
| sk5 = sk6
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f674,f193]) ).
fof(f193,axiom,
memberP(sk1,sk5),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_8) ).
fof(f674,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk6 = X3 )
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f673,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',clause71) ).
fof(f673,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk6 = X3
| memberP(nil,X3) )
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f672,f237]) ).
fof(f237,plain,
( ssItem(sk6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_1
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f672,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk6 = X3
| memberP(nil,X3)
| ~ ssItem(sk6) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f338,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',clause8) ).
fof(f338,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| ~ ssList(nil)
| sk6 = X3
| memberP(nil,X3)
| ~ ssItem(sk6) )
| ~ spl0_5 ),
inference(superposition,[],[f161,f261]) ).
fof(f261,plain,
( sk1 = cons(sk6,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl0_5
<=> sk1 = cons(sk6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',clause161) ).
fof(f618,plain,
( ~ spl0_4
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f617,plain,
( $false
| ~ spl0_4
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f612,f194]) ).
fof(f194,axiom,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_9) ).
fof(f612,plain,
( memberP(sk2,sk5)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f254,f609]) ).
fof(f609,plain,
( sk5 = sk6
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f254,plain,
( memberP(sk2,sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl0_4
<=> memberP(sk2,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f309,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f307,f237]) ).
fof(f307,plain,
( ~ ssItem(sk6)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f306,f71]) ).
fof(f306,plain,
( memberP(nil,sk6)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f254,f247]) ).
fof(f247,plain,
( nil = sk2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl0_3
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f295,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f292,f290]) ).
fof(f290,plain,
( memberP(nil,sk5)
| ~ spl0_2 ),
inference(superposition,[],[f193,f241]) ).
fof(f241,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f292,plain,
( ~ memberP(nil,sk5)
| ~ spl0_3 ),
inference(superposition,[],[f194,f247]) ).
fof(f268,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f267,f259,f245]) ).
fof(f267,plain,
( sk1 = cons(sk6,nil)
| nil = sk2 ),
inference(forward_demodulation,[],[f266,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_6) ).
fof(f266,plain,
( nil = sk2
| sk3 = cons(sk6,nil) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_5) ).
fof(f197,axiom,
( nil = sk4
| sk3 = cons(sk6,nil) ),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_12) ).
fof(f265,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f264,f252,f245]) ).
fof(f264,plain,
( memberP(sk2,sk6)
| nil = sk2 ),
inference(forward_demodulation,[],[f263,f190]) ).
fof(f263,plain,
( nil = sk2
| memberP(sk4,sk6) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f198,axiom,
( nil = sk4
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_13) ).
fof(f255,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f250,f252,f239]) ).
fof(f250,plain,
( memberP(sk2,sk6)
| nil = sk1 ),
inference(forward_demodulation,[],[f249,f190]) ).
fof(f249,plain,
( nil = sk1
| memberP(sk4,sk6) ),
inference(forward_demodulation,[],[f201,f191]) ).
fof(f201,axiom,
( nil = sk3
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_16) ).
fof(f248,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f243,f245,f235]) ).
fof(f243,plain,
( nil = sk2
| ssItem(sk6) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f195,axiom,
( ssItem(sk6)
| nil = sk4 ),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_10) ).
fof(f242,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f233,f239,f235]) ).
fof(f233,plain,
( nil = sk1
| ssItem(sk6) ),
inference(forward_demodulation,[],[f196,f191]) ).
fof(f196,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC392-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 17:04:19 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.qWQwhBjXzv/Vampire---4.8_21207
% 0.15/0.36 % (21325)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (21331)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)
% 0.21/0.43 % (21329)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.43 % (21330)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)
% 0.21/0.43 % (21327)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.43 % (21328)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)
% 0.21/0.43 % (21332)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.43 % (21326)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)
% 0.21/0.44 % (21332)First to succeed.
% 0.21/0.44 % (21332)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (21332)------------------------------
% 0.21/0.44 % (21332)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (21332)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (21332)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (21332)Memory used [KB]: 6012
% 0.21/0.44 % (21332)Time elapsed: 0.015 s
% 0.21/0.44 % (21332)------------------------------
% 0.21/0.44 % (21332)------------------------------
% 0.21/0.44 % (21325)Success in time 0.079 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------