TSTP Solution File: SWC378-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC378-1 : 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 : n025.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 18:40:48 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   70 (   8 unt;   0 def)
%            Number of atoms       :  203 (   4 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  243 ( 110   ~; 129   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f485,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f218,f460,f466,f468,f475,f478,f484]) ).

fof(f484,plain,
    ( spl0_2
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f483]) ).

fof(f483,plain,
    ( $false
    | spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f482,f215]) ).

fof(f215,plain,
    ( ~ memberP(sk4,sk7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_2
  <=> memberP(sk4,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f482,plain,
    ( memberP(sk4,sk7)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f481,f196]) ).

fof(f196,axiom,
    ssItem(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f481,plain,
    ( ~ ssItem(sk7)
    | memberP(sk4,sk7)
    | ~ spl0_8 ),
    inference(resolution,[],[f324,f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ memberP(sk5,X0)
      | ~ ssItem(X0)
      | memberP(sk4,X0) ),
    inference(subsumption_resolution,[],[f256,f193]) ).

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

fof(f256,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ memberP(sk5,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f222,f192]) ).

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

fof(f222,plain,
    ! [X0] :
      ( ~ memberP(sk5,X0)
      | memberP(sk4,X0)
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f140,f194]) ).

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

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

fof(f324,plain,
    ( memberP(sk5,sk7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f322,plain,
    ( spl0_8
  <=> memberP(sk5,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f478,plain,
    ( spl0_2
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f477]) ).

fof(f477,plain,
    ( $false
    | spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f476,f215]) ).

fof(f476,plain,
    ( memberP(sk4,sk7)
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f470,f196]) ).

fof(f470,plain,
    ( ~ ssItem(sk7)
    | memberP(sk4,sk7)
    | ~ spl0_9 ),
    inference(resolution,[],[f328,f244]) ).

fof(f244,plain,
    ! [X1] :
      ( ~ memberP(sk6,X1)
      | ~ ssItem(X1)
      | memberP(sk4,X1) ),
    inference(subsumption_resolution,[],[f243,f193]) ).

fof(f243,plain,
    ! [X1] :
      ( ~ ssList(sk6)
      | ~ memberP(sk6,X1)
      | ~ ssItem(X1)
      | memberP(sk4,X1) ),
    inference(subsumption_resolution,[],[f223,f192]) ).

fof(f223,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssList(sk5)
      | memberP(sk4,X1)
      | ~ memberP(sk6,X1)
      | ~ ssList(sk6) ),
    inference(superposition,[],[f141,f194]) ).

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

fof(f328,plain,
    ( memberP(sk6,sk7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl0_9
  <=> memberP(sk6,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f475,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f474,f326,f210]) ).

fof(f210,plain,
    ( spl0_1
  <=> memberP(sk3,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f474,plain,
    ( memberP(sk3,sk7)
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f469,f196]) ).

fof(f469,plain,
    ( ~ ssItem(sk7)
    | memberP(sk3,sk7)
    | ~ spl0_9 ),
    inference(resolution,[],[f328,f281]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ memberP(sk6,X0)
      | ~ ssItem(X0)
      | memberP(sk3,X0) ),
    inference(subsumption_resolution,[],[f280,f192]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ memberP(sk6,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk5)
      | memberP(sk3,X0) ),
    inference(subsumption_resolution,[],[f263,f193]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ ssList(sk6)
      | ~ memberP(sk6,X0)
      | memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk5) ),
    inference(superposition,[],[f140,f195]) ).

fof(f195,axiom,
    sk3 = app(sk6,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f468,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f467,f214,f326,f322]) ).

fof(f467,plain,
    ( memberP(sk6,sk7)
    | memberP(sk5,sk7)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f461,f196]) ).

fof(f461,plain,
    ( memberP(sk6,sk7)
    | memberP(sk5,sk7)
    | ~ ssItem(sk7)
    | ~ spl0_2 ),
    inference(resolution,[],[f216,f231]) ).

fof(f231,plain,
    ! [X7] :
      ( ~ memberP(sk4,X7)
      | ~ ssItem(X7)
      | memberP(sk6,X7)
      | memberP(sk5,X7) ),
    inference(subsumption_resolution,[],[f230,f192]) ).

fof(f230,plain,
    ! [X7] :
      ( ~ ssItem(X7)
      | memberP(sk6,X7)
      | ~ ssList(sk5)
      | ~ memberP(sk4,X7)
      | memberP(sk5,X7) ),
    inference(subsumption_resolution,[],[f229,f193]) ).

fof(f229,plain,
    ! [X7] :
      ( memberP(sk5,X7)
      | ~ ssList(sk6)
      | ~ ssItem(X7)
      | ~ memberP(sk4,X7)
      | ~ ssList(sk5)
      | memberP(sk6,X7) ),
    inference(superposition,[],[f158,f194]) ).

fof(f158,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X1),X2)
      | ~ ssList(X0)
      | memberP(X1,X2)
      | ~ ssItem(X2)
      | memberP(X0,X2)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f216,plain,
    ( memberP(sk4,sk7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f466,plain,
    ( spl0_1
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | spl0_1
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f464,f211]) ).

fof(f211,plain,
    ( ~ memberP(sk3,sk7)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f464,plain,
    ( memberP(sk3,sk7)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f462,f196]) ).

fof(f462,plain,
    ( ~ ssItem(sk7)
    | memberP(sk3,sk7)
    | ~ spl0_8 ),
    inference(resolution,[],[f324,f279]) ).

fof(f279,plain,
    ! [X1] :
      ( ~ memberP(sk5,X1)
      | memberP(sk3,X1)
      | ~ ssItem(X1) ),
    inference(subsumption_resolution,[],[f278,f192]) ).

fof(f278,plain,
    ! [X1] :
      ( memberP(sk3,X1)
      | ~ ssList(sk5)
      | ~ ssItem(X1)
      | ~ memberP(sk5,X1) ),
    inference(subsumption_resolution,[],[f264,f193]) ).

fof(f264,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ memberP(sk5,X1)
      | memberP(sk3,X1)
      | ~ ssList(sk6)
      | ~ ssList(sk5) ),
    inference(superposition,[],[f141,f195]) ).

fof(f460,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f458,f327]) ).

fof(f327,plain,
    ( ~ memberP(sk6,sk7)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f458,plain,
    ( memberP(sk6,sk7)
    | ~ spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f457,f196]) ).

fof(f457,plain,
    ( ~ ssItem(sk7)
    | memberP(sk6,sk7)
    | ~ spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f456,f323]) ).

fof(f323,plain,
    ( ~ memberP(sk5,sk7)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f456,plain,
    ( memberP(sk5,sk7)
    | ~ ssItem(sk7)
    | memberP(sk6,sk7)
    | ~ spl0_1 ),
    inference(resolution,[],[f285,f212]) ).

fof(f212,plain,
    ( memberP(sk3,sk7)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f285,plain,
    ! [X7] :
      ( ~ memberP(sk3,X7)
      | memberP(sk5,X7)
      | memberP(sk6,X7)
      | ~ ssItem(X7) ),
    inference(subsumption_resolution,[],[f284,f192]) ).

fof(f284,plain,
    ! [X7] :
      ( ~ ssItem(X7)
      | ~ memberP(sk3,X7)
      | memberP(sk5,X7)
      | ~ ssList(sk5)
      | memberP(sk6,X7) ),
    inference(subsumption_resolution,[],[f270,f193]) ).

fof(f270,plain,
    ! [X7] :
      ( ~ ssList(sk6)
      | ~ memberP(sk3,X7)
      | memberP(sk5,X7)
      | ~ ssList(sk5)
      | memberP(sk6,X7)
      | ~ ssItem(X7) ),
    inference(superposition,[],[f158,f195]) ).

fof(f218,plain,
    ( ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f210,f214]) ).

fof(f199,plain,
    ( ~ memberP(sk3,sk7)
    | ~ memberP(sk4,sk7) ),
    inference(definition_unfolding,[],[f198,f190,f191]) ).

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

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

fof(f198,axiom,
    ( ~ memberP(sk2,sk7)
    | ~ memberP(sk1,sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f217,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f214,f210]) ).

fof(f202,plain,
    ( memberP(sk4,sk7)
    | memberP(sk3,sk7) ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

fof(f197,axiom,
    ( memberP(sk2,sk7)
    | memberP(sk1,sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC378-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : n025.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:00:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (23281)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)
% 0.20/0.50  % (23289)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)
% 0.20/0.50  % (23296)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)
% 0.20/0.50  % (23289)Instruction limit reached!
% 0.20/0.50  % (23289)------------------------------
% 0.20/0.50  % (23289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23288)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)
% 0.20/0.51  % (23280)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)
% 0.20/0.51  % (23281)First to succeed.
% 0.20/0.51  % (23297)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)
% 0.20/0.51  % (23289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23289)Termination reason: Unknown
% 0.20/0.51  % (23289)Termination phase: Finite model building preprocessing
% 0.20/0.51  
% 0.20/0.51  % (23289)Memory used [KB]: 1535
% 0.20/0.51  % (23289)Time elapsed: 0.005 s
% 0.20/0.51  % (23289)Instructions burned: 6 (million)
% 0.20/0.51  % (23289)------------------------------
% 0.20/0.51  % (23289)------------------------------
% 0.20/0.52  % (23281)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (23281)------------------------------
% 0.20/0.52  % (23281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23281)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (23281)Memory used [KB]: 6140
% 0.20/0.52  % (23281)Time elapsed: 0.108 s
% 0.20/0.52  % (23281)Instructions burned: 12 (million)
% 0.20/0.52  % (23281)------------------------------
% 0.20/0.52  % (23281)------------------------------
% 0.20/0.52  % (23272)Success in time 0.169 s
%------------------------------------------------------------------------------