TSTP Solution File: SWC384-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC384-1 : 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 : n005.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 04:38:36 EDT 2024

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   60 (  12 unt;   0 def)
%            Number of atoms       :  146 (  18 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  161 (  75   ~;  78   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f603,plain,
    $false,
    inference(avatar_sat_refutation,[],[f235,f245,f250,f255,f260,f283,f292,f369,f600]) ).

fof(f600,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f599]) ).

fof(f599,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f598,f249]) ).

fof(f249,plain,
    ( ssList(sk7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_5
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f598,plain,
    ( ~ ssList(sk7)
    | ~ spl0_4
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f597,f244]) ).

fof(f244,plain,
    ( ssList(sk6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_4
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f597,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f596,f208]) ).

fof(f208,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(f596,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f595,f209]) ).

fof(f209,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(f595,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f561,f282]) ).

fof(f282,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_11
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f561,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7 ),
    inference(superposition,[],[f220,f259]) ).

fof(f259,plain,
    ( sk4 = app(app(sk6,sk3),sk7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_7
  <=> sk4 = app(app(sk6,sk3),sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f369,plain,
    ( spl0_10
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f368,f252,f228,f276]) ).

fof(f276,plain,
    ( spl0_10
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f228,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f252,plain,
    ( spl0_6
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f368,plain,
    ( singletonP(sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f367,f230]) ).

fof(f230,plain,
    ( ssItem(sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f367,plain,
    ( singletonP(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f361,f208]) ).

fof(f361,plain,
    ( singletonP(sk3)
    | ~ ssList(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(superposition,[],[f219,f254]) ).

fof(f254,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f219,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( singletonP(X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f292,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f290,f288]) ).

fof(f288,plain,
    ( neq(nil,nil)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f210,f234]) ).

fof(f234,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f210,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f290,plain,
    ~ neq(nil,nil),
    inference(resolution,[],[f225,f8]) ).

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

fof(f225,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(duplicate_literal_removal,[],[f213]) ).

fof(f213,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f283,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f211,f280,f276]) ).

fof(f211,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ singletonP(sk3) ),
    inference(definition_unfolding,[],[f207,f190,f191,f191]) ).

fof(f207,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).

fof(f260,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f198,f232,f257]) ).

fof(f198,axiom,
    ( nil = sk4
    | sk4 = app(app(sk6,sk3),sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f255,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f232,f252]) ).

fof(f197,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f250,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f196,f232,f247]) ).

fof(f196,axiom,
    ( nil = sk4
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f245,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f195,f232,f242]) ).

fof(f195,axiom,
    ( nil = sk4
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f235,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f193,f232,f228]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC384-1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.14  % 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
% 0.15/0.35  % Computer : n005.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 03:27:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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
% 0.60/0.76  % (7018)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)
% 0.60/0.76  % (7022)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)
% 0.60/0.76  % (7020)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.76  % (7019)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)
% 0.60/0.76  % (7021)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)
% 0.60/0.76  % (7025)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)
% 0.60/0.76  % (7024)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)
% 0.60/0.76  % (7025)Refutation not found, incomplete strategy% (7025)------------------------------
% 0.60/0.76  % (7025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (7025)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (7025)Memory used [KB]: 1199
% 0.60/0.76  % (7025)Time elapsed: 0.003 s
% 0.60/0.76  % (7025)Instructions burned: 5 (million)
% 0.60/0.76  % (7025)------------------------------
% 0.60/0.76  % (7025)------------------------------
% 0.60/0.76  % (7018)Refutation not found, incomplete strategy% (7018)------------------------------
% 0.60/0.76  % (7018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (7022)Refutation not found, incomplete strategy% (7022)------------------------------
% 0.60/0.76  % (7022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (7018)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  % (7022)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  
% 0.60/0.76  % (7018)Memory used [KB]: 1229
% 0.60/0.76  % (7022)Memory used [KB]: 1292
% 0.60/0.76  % (7018)Time elapsed: 0.005 s
% 0.60/0.76  % (7022)Time elapsed: 0.004 s
% 0.60/0.76  % (7018)Instructions burned: 11 (million)
% 0.60/0.76  % (7022)Instructions burned: 13 (million)
% 0.60/0.76  % (7022)------------------------------
% 0.60/0.76  % (7022)------------------------------
% 0.60/0.76  % (7018)------------------------------
% 0.60/0.76  % (7018)------------------------------
% 0.60/0.76  % (7028)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)
% 0.60/0.76  % (7029)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)
% 0.60/0.76  % (7031)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.60/0.76  % (7020)First to succeed.
% 0.60/0.77  % (7020)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7007"
% 0.60/0.77  % (7020)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.77  % (7020)------------------------------
% 0.60/0.77  % (7020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7020)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (7020)Memory used [KB]: 1344
% 0.60/0.77  % (7020)Time elapsed: 0.011 s
% 0.60/0.77  % (7020)Instructions burned: 26 (million)
% 0.60/0.77  % (7007)Success in time 0.405 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------