TSTP Solution File: SWC411-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC411-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Sun May  5 10:26:55 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   28 (  17 unt;   0 def)
%            Number of atoms       :   48 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  17   ~;  14   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f261,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f239,f244,f249,f254,f258,f260]) ).

fof(f260,plain,
    ( spl0_4
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f259,f256,f251,f236,f246]) ).

fof(f246,plain,
    ( spl0_4
  <=> memberP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f236,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f251,plain,
    ( spl0_5
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f256,plain,
    ( spl0_6
  <=> ! [X6] :
        ( ~ ssItem(X6)
        | ~ memberP(sk4,X6)
        | memberP(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f259,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f257,f253]) ).

fof(f253,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f257,plain,
    ( ! [X6] :
        ( ~ memberP(sk4,X6)
        | ~ ssItem(X6)
        | memberP(sk3,X6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f192,f256]) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk4,X6)
      | memberP(sk3,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f254,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f199,f251]) ).

fof(f199,plain,
    memberP(sk4,sk5),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f194,axiom,
    memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f249,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f198,f246]) ).

fof(f198,plain,
    ~ memberP(sk3,sk5),
    inference(definition_unfolding,[],[f195,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f195,axiom,
    ~ memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f244,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f196,f241]) ).

fof(f241,plain,
    ( spl0_3
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f196,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f239,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f193,f236]) ).

fof(f193,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f234,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f189,f231]) ).

fof(f231,plain,
    ( spl0_1
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC411-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:23:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (24321)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (24324)WARNING: value z3 for option sas not known
% 0.15/0.38  % (24328)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38  % (24324)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (24323)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (24326)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (24325)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (24327)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (24322)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (24326)First to succeed.
% 0.15/0.38  % (24326)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24321"
% 0.15/0.39  % (24326)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (24326)------------------------------
% 0.15/0.39  % (24326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (24326)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (24326)Memory used [KB]: 1040
% 0.15/0.39  % (24326)Time elapsed: 0.006 s
% 0.15/0.39  % (24326)Instructions burned: 9 (million)
% 0.15/0.39  % (24321)Success in time 0.025 s
%------------------------------------------------------------------------------