TSTP Solution File: SWC018-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC018-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 : Tue May 21 04:35:35 EDT 2024

% Result   : Unsatisfiable 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   73 (  13 unt;   0 def)
%            Number of atoms       :  195 (  29 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  243 ( 121   ~; 114   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f358,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f236,f237,f238,f248,f254,f296,f303,f334,f335,f357]) ).

fof(f357,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f356,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f351,f253]) ).

fof(f253,plain,
    ( frontsegP(nil,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_7
  <=> frontsegP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f351,plain,
    ( ~ frontsegP(nil,nil)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f341,f222]) ).

fof(f222,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f341,plain,
    ( ~ frontsegP(nil,sk4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f259,f225]) ).

fof(f225,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f259,plain,
    ( ~ frontsegP(sk3,sk4)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f258,f231]) ).

fof(f231,plain,
    ( neq(sk4,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f258,plain,
    ( ~ neq(sk4,nil)
    | ~ frontsegP(sk3,sk4)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f257,f202]) ).

fof(f202,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f257,plain,
    ( ~ ssList(sk4)
    | ~ neq(sk4,nil)
    | ~ frontsegP(sk3,sk4)
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk4)
    | ~ neq(sk4,nil)
    | ~ frontsegP(sk3,sk4)
    | ~ spl0_4 ),
    inference(resolution,[],[f61,f235]) ).

fof(f235,plain,
    ( ! [X6] :
        ( ~ frontsegP(sk4,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ frontsegP(sk3,X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_4
  <=> ! [X6] :
        ( ~ frontsegP(sk3,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ frontsegP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f335,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f312,f220,f224]) ).

fof(f312,plain,
    ( nil != sk4
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f311,f192]) ).

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

fof(f311,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f306,f201]) ).

fof(f201,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f306,plain,
    ( nil != sk4
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(superposition,[],[f118,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f334,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f333,f293,f240,f224]) ).

fof(f240,plain,
    ( spl0_5
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f293,plain,
    ( spl0_9
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f333,plain,
    ( nil = sk3
    | ~ spl0_5
    | spl0_9 ),
    inference(subsumption_resolution,[],[f332,f241]) ).

fof(f241,plain,
    ( ssList(nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f332,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f320,f201]) ).

fof(f320,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | spl0_9 ),
    inference(resolution,[],[f295,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f295,plain,
    ( ~ neq(sk3,nil)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f303,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | spl0_8 ),
    inference(subsumption_resolution,[],[f301,f201]) ).

fof(f301,plain,
    ( ~ ssList(sk3)
    | spl0_8 ),
    inference(resolution,[],[f291,f61]) ).

fof(f291,plain,
    ( ~ frontsegP(sk3,sk3)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl0_8
  <=> frontsegP(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f296,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f287,f234,f293,f289]) ).

fof(f287,plain,
    ( ~ neq(sk3,nil)
    | ~ frontsegP(sk3,sk3)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f286,f201]) ).

fof(f286,plain,
    ( ~ ssList(sk3)
    | ~ neq(sk3,nil)
    | ~ frontsegP(sk3,sk3)
    | ~ spl0_4 ),
    inference(resolution,[],[f285,f235]) ).

fof(f285,plain,
    frontsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f284,f192]) ).

fof(f284,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f277,f201]) ).

fof(f277,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f249,f193]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f213,f85]) ).

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

fof(f213,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f254,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f214,f251,f240]) ).

fof(f214,plain,
    ( frontsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f248,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f8,f240]) ).

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

fof(f238,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f234,f224]) ).

fof(f206,plain,
    ! [X6] :
      ( ~ frontsegP(sk3,X6)
      | ~ frontsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

fof(f200,axiom,
    ! [X6] :
      ( ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f237,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f205,f229,f224]) ).

fof(f205,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f199,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f236,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f234,f220]) ).

fof(f204,plain,
    ! [X6] :
      ( ~ frontsegP(sk3,X6)
      | ~ frontsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk4 ),
    inference(definition_unfolding,[],[f198,f191,f190,f190]) ).

fof(f198,axiom,
    ! [X6] :
      ( ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f227,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f224,f220]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC018-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 02:36:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72  % (21950)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73  % (21943)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.73  % (21945)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (21944)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.73  % (21946)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.73  % (21947)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.73  % (21945)First to succeed.
% 0.57/0.73  % (21946)Also succeeded, but the first one will report.
% 0.57/0.73  % (21945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21942"
% 0.57/0.73  % (21945)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.73  % (21945)------------------------------
% 0.57/0.73  % (21945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (21945)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (21945)Memory used [KB]: 1227
% 0.57/0.73  % (21945)Time elapsed: 0.008 s
% 0.57/0.73  % (21945)Instructions burned: 10 (million)
% 0.57/0.73  % (21942)Success in time 0.379 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------