TSTP Solution File: SWC324-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC324-1 : 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 : n014.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 04:38:09 EDT 2024

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   72 (   8 unt;   0 def)
%            Number of atoms       :  219 (  67 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  285 ( 138   ~; 136   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  12 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f548,plain,
    $false,
    inference(avatar_sat_refutation,[],[f243,f272,f284,f294,f311,f385,f401,f405,f407,f418,f477,f547]) ).

fof(f547,plain,
    ( ~ spl0_7
    | spl0_4
    | spl0_20 ),
    inference(avatar_split_clause,[],[f546,f415,f240,f260]) ).

fof(f260,plain,
    ( spl0_7
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f240,plain,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f415,plain,
    ( spl0_20
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f546,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_20 ),
    inference(trivial_inequality_removal,[],[f545]) ).

fof(f545,plain,
    ( sk4 != sk4
    | nil = sk4
    | ~ ssList(sk4)
    | spl0_20 ),
    inference(superposition,[],[f417,f104]) ).

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

fof(f417,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f477,plain,
    ( ~ spl0_5
    | ~ spl0_4
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f476,f308,f236,f240,f250]) ).

fof(f250,plain,
    ( spl0_5
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f236,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f308,plain,
    ( spl0_15
  <=> sk3 = app(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f476,plain,
    ( nil != sk4
    | ~ ssList(nil)
    | ~ spl0_3
    | spl0_15 ),
    inference(inner_rewriting,[],[f475]) ).

fof(f475,plain,
    ( nil != sk4
    | ~ ssList(sk4)
    | ~ spl0_3
    | spl0_15 ),
    inference(forward_demodulation,[],[f312,f238]) ).

fof(f238,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f312,plain,
    ( sk3 != sk4
    | ~ ssList(sk4)
    | spl0_15 ),
    inference(superposition,[],[f310,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f310,plain,
    ( sk3 != app(sk4,nil)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f418,plain,
    ( ~ spl0_18
    | ~ spl0_20
    | ~ spl0_17
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f413,f398,f383,f390,f415,f394]) ).

fof(f394,plain,
    ( spl0_18
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f390,plain,
    ( spl0_17
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f383,plain,
    ( spl0_16
  <=> ! [X0,X1] :
        ( sk3 != app(X0,cons(X1,nil))
        | ~ ssItem(X1)
        | cons(X1,X0) != sk4
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f398,plain,
    ( spl0_19
  <=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f413,plain,
    ( ~ ssItem(hd(sk4))
    | sk4 != cons(hd(sk4),tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f408]) ).

fof(f408,plain,
    ( sk3 != sk3
    | ~ ssItem(hd(sk4))
    | sk4 != cons(hd(sk4),tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(superposition,[],[f384,f400]) ).

fof(f400,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f384,plain,
    ( ! [X0,X1] :
        ( sk3 != app(X0,cons(X1,nil))
        | ~ ssItem(X1)
        | cons(X1,X0) != sk4
        | ~ ssList(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f407,plain,
    ( ~ spl0_7
    | spl0_4
    | spl0_18 ),
    inference(avatar_split_clause,[],[f406,f394,f240,f260]) ).

fof(f406,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_18 ),
    inference(resolution,[],[f396,f75]) ).

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

fof(f396,plain,
    ( ~ ssList(tl(sk4))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f405,plain,
    ( ~ spl0_7
    | spl0_4
    | spl0_17 ),
    inference(avatar_split_clause,[],[f402,f390,f240,f260]) ).

fof(f402,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_17 ),
    inference(resolution,[],[f392,f76]) ).

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

fof(f392,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f401,plain,
    ( ~ spl0_7
    | spl0_4
    | ~ spl0_17
    | ~ spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f388,f398,f394,f390,f240,f260]) ).

fof(f388,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(equality_resolution,[],[f378]) ).

fof(f378,plain,
    ! [X0] :
      ( sk4 != X0
      | sk3 = app(tl(X0),cons(hd(X0),nil))
      | ~ ssList(tl(X0))
      | ~ ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f377,f104]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f368]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f193,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(f193,axiom,
    ! [X6,X7] :
      ( sk4 != app(cons(X6,nil),X7)
      | sk3 = app(X7,cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f385,plain,
    ( ~ spl0_5
    | spl0_16 ),
    inference(avatar_split_clause,[],[f381,f383,f250]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( sk3 != app(X0,cons(X1,nil))
      | ~ ssList(X0)
      | cons(X1,X0) != sk4
      | ~ ssItem(X1)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f380]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( sk3 != app(X0,cons(X1,nil))
      | ~ ssList(X0)
      | cons(X1,X0) != sk4
      | ~ ssItem(X1)
      | ~ ssList(nil)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f373,f86]) ).

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

fof(f373,plain,
    ! [X0,X1] :
      ( ~ ssList(cons(X0,nil))
      | sk3 != app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | cons(X0,X1) != sk4
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f372]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 != app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssList(cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f197,f120]) ).

fof(f197,plain,
    ! [X6,X7] :
      ( sk4 != app(X6,X7)
      | sk3 != app(X7,X6)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

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

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

fof(f192,axiom,
    ! [X6,X7] :
      ( sk1 != app(X7,X6)
      | sk2 != app(X6,X7)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f311,plain,
    ( ~ spl0_15
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f306,f292,f260,f308]) ).

fof(f292,plain,
    ( spl0_12
  <=> ! [X0] :
        ( sk4 != X0
        | ~ ssList(X0)
        | app(X0,nil) != sk3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f306,plain,
    ( ~ ssList(sk4)
    | sk3 != app(sk4,nil)
    | ~ spl0_12 ),
    inference(equality_resolution,[],[f293]) ).

fof(f293,plain,
    ( ! [X0] :
        ( sk4 != X0
        | ~ ssList(X0)
        | app(X0,nil) != sk3 )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f294,plain,
    ( ~ spl0_5
    | spl0_12 ),
    inference(avatar_split_clause,[],[f290,f292,f250]) ).

fof(f290,plain,
    ! [X0] :
      ( sk4 != X0
      | app(X0,nil) != sk3
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f287,plain,
    ! [X0] :
      ( sk4 != X0
      | app(X0,nil) != sk3
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f197,f74]) ).

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

fof(f284,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f283]) ).

fof(f283,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f262,f196]) ).

fof(f196,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f262,plain,
    ( ~ ssList(sk4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f272,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f271]) ).

fof(f271,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f252,f8]) ).

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

fof(f252,plain,
    ( ~ ssList(nil)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f243,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f194,f240,f236]) ).

fof(f194,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC324-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14  % 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 : n014.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 03:07:38 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
% 0.52/0.74  % (7804)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.52/0.74  % (7803)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)
% 0.52/0.74  % (7805)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 (2996ds/83Mi)
% 0.52/0.74  % (7806)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)
% 0.52/0.74  % (7799)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)
% 0.52/0.74  % (7801)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.74  % (7802)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)
% 0.52/0.74  % (7800)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)
% 0.52/0.74  % (7806)Refutation not found, incomplete strategy% (7806)------------------------------
% 0.52/0.74  % (7806)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (7806)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (7806)Memory used [KB]: 1166
% 0.52/0.74  % (7806)Time elapsed: 0.002 s
% 0.52/0.74  % (7806)Instructions burned: 3 (million)
% 0.52/0.74  % (7806)------------------------------
% 0.52/0.74  % (7806)------------------------------
% 0.52/0.74  % (7799)Refutation not found, incomplete strategy% (7799)------------------------------
% 0.52/0.74  % (7799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (7799)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (7799)Memory used [KB]: 1194
% 0.52/0.74  % (7799)Time elapsed: 0.005 s
% 0.52/0.74  % (7799)Instructions burned: 5 (million)
% 0.52/0.74  % (7799)------------------------------
% 0.52/0.74  % (7799)------------------------------
% 0.58/0.74  % (7807)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.58/0.74  % (7808)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.58/0.75  % (7800)First to succeed.
% 0.58/0.75  % (7800)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7798"
% 0.58/0.75  % (7800)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.58/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.75  % (7800)------------------------------
% 0.58/0.75  % (7800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (7800)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (7800)Memory used [KB]: 1324
% 0.58/0.75  % (7800)Time elapsed: 0.015 s
% 0.58/0.75  % (7800)Instructions burned: 21 (million)
% 0.58/0.75  % (7798)Success in time 0.398 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------