TSTP Solution File: SWC404-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC404-1 : 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 : n024.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 18:40:59 EDT 2022

% Result   : Unsatisfiable 1.54s 0.57s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   34 (  14 unt;   0 def)
%            Number of atoms       :   86 (   3 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  104 (  52   ~;  50   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f353,plain,
    $false,
    inference(avatar_sat_refutation,[],[f266,f289,f352]) ).

fof(f352,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f351]) ).

fof(f351,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f350,f205]) ).

fof(f205,plain,
    ~ memberP(sk4,sk7),
    inference(definition_unfolding,[],[f200,f190]) ).

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

fof(f200,axiom,
    ~ memberP(sk2,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f350,plain,
    ( memberP(sk4,sk7)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f349,f198]) ).

fof(f198,axiom,
    ssItem(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f349,plain,
    ( ~ ssItem(sk7)
    | memberP(sk4,sk7)
    | ~ spl0_7 ),
    inference(resolution,[],[f348,f204]) ).

fof(f204,plain,
    memberP(sk3,sk7),
    inference(definition_unfolding,[],[f199,f191]) ).

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

fof(f199,axiom,
    memberP(sk1,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | memberP(sk4,X0)
        | ~ ssItem(X0) )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f347,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f347,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ memberP(sk3,X0)
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f346,f192]) ).

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

fof(f346,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssList(sk5)
        | ~ ssItem(X0)
        | ~ ssList(sk3)
        | memberP(sk4,X0) )
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f343]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ ssList(sk5)
        | memberP(sk4,X0)
        | ~ ssList(sk3)
        | ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssItem(X0) )
    | ~ spl0_7 ),
    inference(resolution,[],[f265,f141]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ memberP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f265,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk5,sk3),X0)
        | memberP(sk4,X0)
        | ~ ssItem(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl0_7
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | memberP(sk4,X0)
        | ~ memberP(app(sk5,sk3),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f289,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f288]) ).

fof(f288,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f287,f188]) ).

fof(f287,plain,
    ( ~ ssList(sk3)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f286,f192]) ).

fof(f286,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk3)
    | spl0_4 ),
    inference(resolution,[],[f248,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f248,plain,
    ( ~ ssList(app(sk5,sk3))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f246]) ).

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

fof(f266,plain,
    ( ~ spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f262,f264,f246]) ).

fof(f262,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(app(sk5,sk3),X0)
      | ~ ssList(app(sk5,sk3))
      | memberP(sk4,X0) ),
    inference(subsumption_resolution,[],[f230,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f230,plain,
    ! [X0] :
      ( ~ ssList(app(sk5,sk3))
      | ~ memberP(app(sk5,sk3),X0)
      | ~ ssItem(X0)
      | memberP(sk4,X0)
      | ~ ssList(sk6) ),
    inference(superposition,[],[f140,f194]) ).

fof(f194,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC404-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Tue Aug 30 18:56:04 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.20/0.53  % (4979)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 (2999ds/51Mi)
% 0.20/0.54  % (4978)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (4995)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 (2999ds/37Mi)
% 1.24/0.55  % (4986)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 (2999ds/29Mi)
% 1.24/0.55  % (4987)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.24/0.56  % (4979)First to succeed.
% 1.24/0.56  % (4994)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 (2999ds/97Mi)
% 1.54/0.57  % (4987)Instruction limit reached!
% 1.54/0.57  % (4987)------------------------------
% 1.54/0.57  % (4987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57  % (4979)Refutation found. Thanks to Tanya!
% 1.54/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.57  % (4979)------------------------------
% 1.54/0.57  % (4979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57  % (4979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57  % (4979)Termination reason: Refutation
% 1.54/0.57  
% 1.54/0.57  % (4979)Memory used [KB]: 6140
% 1.54/0.57  % (4979)Time elapsed: 0.128 s
% 1.54/0.57  % (4979)Instructions burned: 9 (million)
% 1.54/0.57  % (4979)------------------------------
% 1.54/0.57  % (4979)------------------------------
% 1.54/0.57  % (4971)Success in time 0.214 s
%------------------------------------------------------------------------------