TSTP Solution File: SWC198-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC198-1 : 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 : n014.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 20:57:23 EDT 2023
% Result : Unsatisfiable 0.24s 0.46s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 5 unt; 0 def)
% Number of atoms : 105 ( 23 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 129 ( 62 ~; 64 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f772,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f262,f331,f771]) ).
fof(f771,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f770,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f769,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(f769,plain,
( ~ ssItem(sk6)
| ~ spl0_1
| ~ spl0_5 ),
inference(equality_resolution,[],[f760]) ).
fof(f760,plain,
( ! [X0] :
( sk6 != X0
| ~ ssItem(X0) )
| ~ spl0_1
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f755]) ).
fof(f755,plain,
( ! [X0] :
( sk6 != X0
| ~ ssItem(X0)
| ~ ssItem(X0) )
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f194,f754]) ).
fof(f754,plain,
( ! [X0] :
( sk6 = sk5(X0)
| ~ ssItem(X0) )
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f752,f192]) ).
fof(f192,axiom,
! [X6] :
( ssItem(sk5(X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',co1_7) ).
fof(f752,plain,
( ! [X0] :
( ~ ssItem(sk5(X0))
| sk6 = sk5(X0)
| ~ ssItem(X0) )
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f743,f193]) ).
fof(f193,axiom,
! [X6] :
( memberP(sk1,sk5(X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',co1_8) ).
fof(f743,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk6 = X3 )
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f742,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',clause71) ).
fof(f742,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk6 = X3
| memberP(nil,X3) )
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f741,f237]) ).
fof(f741,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk6 = X3
| memberP(nil,X3)
| ~ ssItem(sk6) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f369,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',clause8) ).
fof(f369,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.W3Fs493rmY/Vampire---4.8_19607',clause161) ).
fof(f194,axiom,
! [X6] :
( sk5(X6) != X6
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',co1_9) ).
fof(f331,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f294,f9]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',clause9) ).
fof(f294,plain,
( ! [X0] : ~ ssItem(X0)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f293,f192]) ).
fof(f293,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5(X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f292,f71]) ).
fof(f292,plain,
( ! [X0] :
( memberP(nil,sk5(X0))
| ~ ssItem(X0) )
| ~ 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(f262,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f257,f259,f239]) ).
fof(f257,plain,
( sk1 = cons(sk6,nil)
| nil = sk1 ),
inference(forward_demodulation,[],[f256,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',co1_6) ).
fof(f256,plain,
( nil = sk1
| sk3 = cons(sk6,nil) ),
inference(forward_demodulation,[],[f200,f191]) ).
fof(f200,axiom,
( nil = sk3
| sk3 = cons(sk6,nil) ),
file('/export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607',co1_15) ).
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.W3Fs493rmY/Vampire---4.8_19607',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC198-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.37 % Computer : n014.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon Aug 28 18:18:00 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.17/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.17/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.W3Fs493rmY/Vampire---4.8_19607
% 0.17/0.38 % (19723)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (19724)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)
% 0.24/0.44 % (19727)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.44 % (19725)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.44 % (19728)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)
% 0.24/0.44 % (19729)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)
% 0.24/0.44 % (19726)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)
% 0.24/0.44 % (19730)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.46 % (19730)First to succeed.
% 0.24/0.46 % (19730)Refutation found. Thanks to Tanya!
% 0.24/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.24/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.46 % (19730)------------------------------
% 0.24/0.46 % (19730)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.46 % (19730)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.46 % (19730)Termination reason: Refutation
% 0.24/0.46
% 0.24/0.46 % (19730)Memory used [KB]: 6012
% 0.24/0.46 % (19730)Time elapsed: 0.016 s
% 0.24/0.46 % (19730)------------------------------
% 0.24/0.46 % (19730)------------------------------
% 0.24/0.46 % (19723)Success in time 0.08 s
% 0.24/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------