TSTP Solution File: SWC250-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC250-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 04:37:27 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   65 (  10 unt;   0 def)
%            Number of atoms       :  230 (  41 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  322 ( 157   ~; 156   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f528,plain,
    $false,
    inference(avatar_sat_refutation,[],[f292,f296,f309,f367,f433,f491,f514,f523,f525,f527]) ).

fof(f527,plain,
    ( ~ spl0_6
    | spl0_23
    | spl0_26 ),
    inference(avatar_split_clause,[],[f526,f484,f420,f269]) ).

fof(f269,plain,
    ( spl0_6
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f420,plain,
    ( spl0_23
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f484,plain,
    ( spl0_26
  <=> ssList(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f526,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | spl0_26 ),
    inference(resolution,[],[f486,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f486,plain,
    ( ~ ssList(tl(sk3))
    | spl0_26 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f525,plain,
    ( ~ spl0_6
    | spl0_23
    | spl0_25 ),
    inference(avatar_split_clause,[],[f524,f480,f420,f269]) ).

fof(f480,plain,
    ( spl0_25
  <=> ssItem(hd(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f524,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | spl0_25 ),
    inference(resolution,[],[f482,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f482,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_25 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f523,plain,
    ( ~ spl0_6
    | spl0_23
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f522,f512,f365,f484,f480,f420,f269]) ).

fof(f365,plain,
    ( spl0_21
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | memberP(nil,sk5(X1,nil,X0))
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f512,plain,
    ( spl0_30
  <=> ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ssItem(sk5(X1,nil,X0))
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f522,plain,
    ( ~ ssList(tl(sk3))
    | ~ ssItem(hd(sk3))
    | nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(equality_resolution,[],[f520]) ).

fof(f520,plain,
    ( ! [X0] :
        ( sk3 != X0
        | ~ ssList(tl(X0))
        | ~ ssItem(hd(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(superposition,[],[f519,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f519,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f517]) ).

fof(f517,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(superposition,[],[f516,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f516,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f515]) ).

fof(f515,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0) )
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(resolution,[],[f513,f369]) ).

fof(f369,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(sk5(X1,nil,X0))
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0) )
    | ~ spl0_21 ),
    inference(resolution,[],[f366,f71]) ).

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

fof(f366,plain,
    ( ! [X0,X1] :
        ( memberP(nil,sk5(X1,nil,X0))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | app(cons(X0,nil),X1) != sk3 )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f513,plain,
    ( ! [X0,X1] :
        ( ssItem(sk5(X1,nil,X0))
        | app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f514,plain,
    ( ~ spl0_4
    | spl0_30
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f510,f489,f512,f260]) ).

fof(f260,plain,
    ( spl0_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f489,plain,
    ( spl0_27
  <=> ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(cons(X0,nil))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f510,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0))
        | ~ ssList(nil) )
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f509]) ).

fof(f509,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0))
        | ~ ssList(nil)
        | ~ ssItem(X0) )
    | ~ spl0_27 ),
    inference(resolution,[],[f490,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f490,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ssItem(sk5(X1,nil,X0)) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f491,plain,
    ( ~ spl0_4
    | spl0_27 ),
    inference(avatar_split_clause,[],[f297,f489,f260]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) != sk3
      | ssItem(sk5(X1,nil,X0))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(superposition,[],[f206,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f206,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | ssItem(sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f433,plain,
    ~ spl0_23,
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f432,plain,
    ( $false
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f429]) ).

fof(f429,plain,
    ( nil != nil
    | ~ spl0_23 ),
    inference(superposition,[],[f205,f422]) ).

fof(f422,plain,
    ( nil = sk3
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f205,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f192,f191]) ).

fof(f192,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f367,plain,
    ( spl0_21
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f348,f307,f260,f365]) ).

fof(f307,plain,
    ( spl0_11
  <=> ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ~ ssList(cons(X0,nil))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f348,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X0)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) )
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f347,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X0)
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) )
    | ~ spl0_11 ),
    inference(resolution,[],[f86,f308]) ).

fof(f308,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | app(cons(X0,nil),X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | memberP(nil,sk5(X1,nil,X0)) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f309,plain,
    ( ~ spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f298,f307,f260]) ).

fof(f298,plain,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) != sk3
      | memberP(nil,sk5(X1,nil,X0))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(superposition,[],[f207,f74]) ).

fof(f207,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | memberP(X7,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( memberP(X7,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f296,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f271,f203]) ).

fof(f203,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f271,plain,
    ( ~ ssList(sk3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f292,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f262,f8]) ).

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

fof(f262,plain,
    ( ~ ssList(nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC250-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 02:59:52 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.78  % (29210)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.78  % (29205)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 (2995ds/34Mi)
% 0.61/0.78  % (29208)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.78  % (29206)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 (2995ds/51Mi)
% 0.61/0.78  % (29207)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.78  % (29209)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 (2995ds/34Mi)
% 0.61/0.78  % (29211)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.61/0.79  % (29212)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 (2995ds/56Mi)
% 0.61/0.79  % (29212)Refutation not found, incomplete strategy% (29212)------------------------------
% 0.61/0.79  % (29212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (29212)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (29212)Memory used [KB]: 1213
% 0.61/0.79  % (29212)Time elapsed: 0.005 s
% 0.61/0.79  % (29212)Instructions burned: 6 (million)
% 0.61/0.79  % (29212)------------------------------
% 0.61/0.79  % (29212)------------------------------
% 0.61/0.80  % (29206)First to succeed.
% 0.61/0.80  % (29206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29204"
% 0.61/0.80  % (29210)Instruction limit reached!
% 0.61/0.80  % (29210)------------------------------
% 0.61/0.80  % (29210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (29210)Termination reason: Unknown
% 0.61/0.80  % (29205)Refutation not found, incomplete strategy% (29205)------------------------------
% 0.61/0.80  % (29205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (29205)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (29205)Memory used [KB]: 1220
% 0.61/0.80  % (29205)Time elapsed: 0.008 s
% 0.61/0.80  % (29205)Instructions burned: 10 (million)
% 0.61/0.80  % (29210)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (29210)Memory used [KB]: 1524
% 0.61/0.80  % (29210)Time elapsed: 0.017 s
% 0.61/0.80  % (29210)Instructions burned: 46 (million)
% 0.61/0.80  % (29210)------------------------------
% 0.61/0.80  % (29210)------------------------------
% 0.61/0.80  % (29205)------------------------------
% 0.61/0.80  % (29205)------------------------------
% 0.61/0.80  % (29206)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.80  % (29206)------------------------------
% 0.61/0.80  % (29206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (29206)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (29206)Memory used [KB]: 1324
% 0.61/0.80  % (29206)Time elapsed: 0.016 s
% 0.61/0.80  % (29206)Instructions burned: 24 (million)
% 0.61/0.80  % (29204)Success in time 0.451 s
% 0.61/0.80  % Vampire---4.8 exiting
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