TSTP Solution File: SWC392-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC392-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.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 : Wed Aug 31 18:40:54 EDT 2022

% Result   : Unsatisfiable 1.57s 0.70s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   46 (   9 unt;   0 def)
%            Number of atoms       :  112 (  23 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  117 (  51   ~;  61   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f287,plain,
    $false,
    inference(avatar_sat_refutation,[],[f218,f227,f232,f233,f238,f240,f276,f286]) ).

fof(f286,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f285]) ).

fof(f285,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f283,f279]) ).

fof(f279,plain,
    ( ~ memberP(nil,sk5)
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f205,f222]) ).

fof(f222,plain,
    ( nil = sk4
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f205,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(f283,plain,
    ( memberP(nil,sk5)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f204,f213]) ).

fof(f213,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f204,plain,
    memberP(sk3,sk5),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f276,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f267,f205]) ).

fof(f267,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f217,f266]) ).

fof(f266,plain,
    ( sk5 = sk6
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f264,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f264,plain,
    ( sk5 = sk6
    | ~ ssItem(sk5)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f262,f204]) ).

fof(f262,plain,
    ( ! [X1] :
        ( ~ memberP(sk3,X1)
        | ~ ssItem(X1)
        | sk6 = X1 )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f261,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f261,plain,
    ( ! [X1] :
        ( memberP(nil,X1)
        | ~ memberP(sk3,X1)
        | sk6 = X1
        | ~ ssItem(X1) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f260,f237]) ).

fof(f237,plain,
    ( ssItem(sk6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_6
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f260,plain,
    ( ! [X1] :
        ( ~ memberP(sk3,X1)
        | sk6 = X1
        | ~ ssItem(X1)
        | memberP(nil,X1)
        | ~ ssItem(sk6) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f245,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f245,plain,
    ( ! [X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X1)
        | ~ memberP(sk3,X1)
        | sk6 = X1
        | memberP(nil,X1)
        | ~ ssItem(sk6) )
    | ~ spl0_5 ),
    inference(superposition,[],[f161,f231]) ).

fof(f231,plain,
    ( sk3 = cons(sk6,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_5
  <=> sk3 = cons(sk6,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssItem(X0)
      | X0 = X2
      | ~ ssList(X1)
      | memberP(X1,X2)
      | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f217,plain,
    ( memberP(sk4,sk6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_2
  <=> memberP(sk4,sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f240,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f196,f235,f211]) ).

fof(f196,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f238,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f235,f220]) ).

fof(f195,axiom,
    ( ssItem(sk6)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f233,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f197,f220,f229]) ).

fof(f197,axiom,
    ( nil = sk4
    | sk3 = cons(sk6,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f232,plain,
    ( spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f200,f211,f229]) ).

fof(f200,axiom,
    ( nil = sk3
    | sk3 = cons(sk6,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f227,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f198,f220,f215]) ).

fof(f198,axiom,
    ( nil = sk4
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f218,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f201,f215,f211]) ).

fof(f201,axiom,
    ( memberP(sk4,sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC392-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:51:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  ipcrm: permission denied for id (743800833)
% 0.13/0.36  ipcrm: permission denied for id (743833602)
% 0.19/0.37  ipcrm: permission denied for id (743964678)
% 0.19/0.37  ipcrm: permission denied for id (744030217)
% 0.19/0.37  ipcrm: permission denied for id (744062986)
% 0.19/0.37  ipcrm: permission denied for id (744095755)
% 0.19/0.38  ipcrm: permission denied for id (744128524)
% 0.19/0.39  ipcrm: permission denied for id (744488987)
% 0.19/0.39  ipcrm: permission denied for id (744554526)
% 0.19/0.39  ipcrm: permission denied for id (744587295)
% 0.19/0.40  ipcrm: permission denied for id (744652833)
% 0.19/0.40  ipcrm: permission denied for id (744751140)
% 0.19/0.40  ipcrm: permission denied for id (744816678)
% 0.19/0.41  ipcrm: permission denied for id (744882220)
% 0.19/0.41  ipcrm: permission denied for id (745013298)
% 0.19/0.41  ipcrm: permission denied for id (745111606)
% 0.19/0.42  ipcrm: permission denied for id (745177145)
% 0.19/0.42  ipcrm: permission denied for id (745242683)
% 0.19/0.42  ipcrm: permission denied for id (745275453)
% 0.19/0.42  ipcrm: permission denied for id (745308222)
% 0.19/0.43  ipcrm: permission denied for id (745472068)
% 0.19/0.43  ipcrm: permission denied for id (745537607)
% 0.19/0.43  ipcrm: permission denied for id (745603145)
% 0.19/0.43  ipcrm: permission denied for id (745668683)
% 0.19/0.44  ipcrm: permission denied for id (745734224)
% 0.19/0.44  ipcrm: permission denied for id (745799762)
% 0.19/0.44  ipcrm: permission denied for id (745865300)
% 0.19/0.44  ipcrm: permission denied for id (745930839)
% 0.19/0.45  ipcrm: permission denied for id (746029150)
% 0.19/0.45  ipcrm: permission denied for id (746094689)
% 0.19/0.45  ipcrm: permission denied for id (746127458)
% 0.19/0.46  ipcrm: permission denied for id (746225765)
% 0.19/0.46  ipcrm: permission denied for id (746324072)
% 0.19/0.46  ipcrm: permission denied for id (746356841)
% 0.19/0.46  ipcrm: permission denied for id (746422379)
% 0.19/0.46  ipcrm: permission denied for id (746455148)
% 0.19/0.46  ipcrm: permission denied for id (746520686)
% 0.19/0.47  ipcrm: permission denied for id (746553456)
% 0.19/0.47  ipcrm: permission denied for id (746586226)
% 0.19/0.47  ipcrm: permission denied for id (746618995)
% 0.19/0.47  ipcrm: permission denied for id (746651764)
% 0.19/0.47  ipcrm: permission denied for id (746750073)
% 0.19/0.48  ipcrm: permission denied for id (746782842)
% 0.19/0.48  ipcrm: permission denied for id (746848381)
% 0.83/0.64  % (17681)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.43/0.66  % (17700)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.43/0.67  % (17692)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.57/0.67  % (17699)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/97Mi)
% 1.57/0.68  % (17691)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.57/0.68  % (17678)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 1.57/0.68  % (17684)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.57/0.68  % (17692)Instruction limit reached!
% 1.57/0.68  % (17692)------------------------------
% 1.57/0.68  % (17692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.68  % (17692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.68  % (17692)Termination reason: Unknown
% 1.57/0.68  % (17692)Termination phase: Finite model building preprocessing
% 1.57/0.68  
% 1.57/0.68  % (17692)Memory used [KB]: 1535
% 1.57/0.68  % (17692)Time elapsed: 0.013 s
% 1.57/0.68  % (17692)Instructions burned: 7 (million)
% 1.57/0.68  % (17692)------------------------------
% 1.57/0.68  % (17692)------------------------------
% 1.57/0.69  % (17679)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 1.57/0.69  % (17680)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/43Mi)
% 1.57/0.69  % (17684)First to succeed.
% 1.57/0.70  % (17684)Refutation found. Thanks to Tanya!
% 1.57/0.70  % SZS status Unsatisfiable for theBenchmark
% 1.57/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.70  % (17684)------------------------------
% 1.57/0.70  % (17684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.70  % (17684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.70  % (17684)Termination reason: Refutation
% 1.57/0.70  
% 1.57/0.70  % (17684)Memory used [KB]: 6012
% 1.57/0.70  % (17684)Time elapsed: 0.092 s
% 1.57/0.70  % (17684)Instructions burned: 5 (million)
% 1.57/0.70  % (17684)------------------------------
% 1.57/0.70  % (17684)------------------------------
% 1.57/0.70  % (17543)Success in time 0.351 s
%------------------------------------------------------------------------------