TSTP Solution File: SWC028-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC028-1 : 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 : n012.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 20:55:45 EDT 2023

% Result   : Unsatisfiable 0.24s 0.45s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   45 (   5 unt;   0 def)
%            Number of atoms       :   99 (  26 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   94 (  40   ~;  50   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (;   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f316,plain,
    $false,
    inference(avatar_sat_refutation,[],[f238,f239,f246,f254,f261,f294,f313]) ).

fof(f313,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f312]) ).

fof(f312,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f310,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',clause8) ).

fof(f310,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(resolution,[],[f306,f226]) ).

fof(f226,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',clause115) ).

fof(f306,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f245,f232]) ).

fof(f232,plain,
    ( nil = sk1
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_1
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f245,plain,
    ( neq(sk1,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_3
  <=> neq(sk1,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f294,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f293]) ).

fof(f293,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f292,f233]) ).

fof(f233,plain,
    ( nil != sk1
    | spl0_1 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f292,plain,
    ( nil = sk1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f289,f186]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_1) ).

fof(f289,plain,
    ( ~ ssList(sk1)
    | nil = sk1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f279,f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',clause82) ).

fof(f279,plain,
    ( rearsegP(nil,sk1)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f253,f236]) ).

fof(f236,plain,
    ( nil = sk2
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_2
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f253,plain,
    ( rearsegP(sk2,sk1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_4
  <=> rearsegP(sk2,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f261,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f260,f251,f231]) ).

fof(f260,plain,
    ( rearsegP(sk2,sk1)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f259,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_5) ).

fof(f259,plain,
    ( rearsegP(sk4,sk1)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f258,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_6) ).

fof(f258,plain,
    ( nil = sk1
    | rearsegP(sk4,sk3) ),
    inference(forward_demodulation,[],[f199,f191]) ).

fof(f199,axiom,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_14) ).

fof(f254,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f249,f251,f235]) ).

fof(f249,plain,
    ( rearsegP(sk2,sk1)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f248,f190]) ).

fof(f248,plain,
    ( rearsegP(sk4,sk1)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f247,f191]) ).

fof(f247,plain,
    ( nil = sk2
    | rearsegP(sk4,sk3) ),
    inference(forward_demodulation,[],[f197,f190]) ).

fof(f197,axiom,
    ( nil = sk4
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_12) ).

fof(f246,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f241,f243,f235]) ).

fof(f241,plain,
    ( neq(sk1,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f240,f191]) ).

fof(f240,plain,
    ( nil = sk2
    | neq(sk3,nil) ),
    inference(forward_demodulation,[],[f196,f190]) ).

fof(f196,axiom,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_11) ).

fof(f239,plain,
    ( spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f192,f231,f235]) ).

fof(f192,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_7) ).

fof(f238,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f195,f235,f231]) ).

fof(f195,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SWC028-1 : 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
% 0.17/0.38  % Computer : n012.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Mon Aug 28 16:10:54 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.17/0.38  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/sandbox2/tmp/tmp.MgQRPgCcKa/Vampire---4.8_14789
% 0.17/0.38  % (14912)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.42  % (14916)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.17/0.44  % (14933)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.45  % (14926)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)
% 0.24/0.45  % (14933)First to succeed.
% 0.24/0.45  % (14915)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)
% 0.24/0.45  % (14917)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)
% 0.24/0.45  % (14928)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)
% 0.24/0.45  % (14933)Refutation found. Thanks to Tanya!
% 0.24/0.45  % SZS status Unsatisfiable for Vampire---4
% 0.24/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.45  % (14933)------------------------------
% 0.24/0.45  % (14933)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.45  % (14933)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.45  % (14933)Termination reason: Refutation
% 0.24/0.45  
% 0.24/0.45  % (14933)Memory used [KB]: 5756
% 0.24/0.45  % (14933)Time elapsed: 0.005 s
% 0.24/0.45  % (14933)------------------------------
% 0.24/0.45  % (14933)------------------------------
% 0.24/0.45  % (14912)Success in time 0.065 s
% 0.24/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------