TSTP Solution File: SWC309-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC309-1 : TPTP v8.1.2. 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 : Wed May  1 04:01:19 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   56 (  10 unt;   0 def)
%            Number of atoms       :  152 (  41 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  182 (  86   ~;  89   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f411,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f281,f364,f368,f370,f380,f405,f410]) ).

fof(f410,plain,
    ( ~ spl0_5
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f409,f377,f242,f252]) ).

fof(f252,plain,
    ( spl0_5
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f242,plain,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f377,plain,
    ( spl0_13
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f409,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_13 ),
    inference(trivial_inequality_removal,[],[f408]) ).

fof(f408,plain,
    ( sk4 != sk4
    | nil = sk4
    | ~ ssList(sk4)
    | spl0_13 ),
    inference(superposition,[],[f379,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',clause104) ).

fof(f379,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f405,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f403,f242,f256]) ).

fof(f256,plain,
    ( spl0_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f403,plain,
    ( ~ ssList(nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f400,f228]) ).

fof(f228,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,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/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',clause115) ).

fof(f400,plain,
    ( neq(nil,nil)
    | ~ spl0_4 ),
    inference(superposition,[],[f198,f243]) ).

fof(f243,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f198,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',co1_5) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',co1_7) ).

fof(f380,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f375,f361,f377,f357,f353]) ).

fof(f353,plain,
    ( spl0_10
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f357,plain,
    ( spl0_11
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f361,plain,
    ( spl0_12
  <=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f375,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f371]) ).

fof(f371,plain,
    ( sk3 != sk3
    | sk4 != cons(hd(sk4),tl(sk4))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ spl0_12 ),
    inference(superposition,[],[f346,f363]) ).

fof(f363,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( sk3 != app(X1,cons(X0,nil))
      | cons(X0,X1) != sk4
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f337]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 != app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f199,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',clause120) ).

fof(f199,plain,
    ! [X6,X7] :
      ( sk4 != app(cons(X6,nil),X7)
      | sk3 != app(X7,cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',co1_6) ).

fof(f193,axiom,
    ! [X6,X7] :
      ( sk1 != app(X7,cons(X6,nil))
      | sk2 != app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',co1_8) ).

fof(f370,plain,
    ( ~ spl0_5
    | spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f369,f357,f242,f252]) ).

fof(f369,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_11 ),
    inference(resolution,[],[f359,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',clause75) ).

fof(f359,plain,
    ( ~ ssList(tl(sk4))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f368,plain,
    ( ~ spl0_5
    | spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f365,f353,f242,f252]) ).

fof(f365,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_10 ),
    inference(resolution,[],[f355,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',clause76) ).

fof(f355,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f364,plain,
    ( ~ spl0_5
    | spl0_4
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f351,f361,f357,f353,f242,f252]) ).

fof(f351,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(equality_resolution,[],[f347]) ).

fof(f347,plain,
    ! [X0] :
      ( sk4 != X0
      | sk3 = app(tl(X0),cons(hd(X0),nil))
      | ~ ssList(tl(X0))
      | ~ ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f345,f104]) ).

fof(f345,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f338]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f194,f120]) ).

fof(f194,axiom,
    ! [X6,X7] :
      ( sk4 != app(cons(X6,nil),X7)
      | sk3 = app(X7,cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',co1_9) ).

fof(f281,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f258,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',clause8) ).

fof(f258,plain,
    ( ~ ssList(nil)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f271,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f254,f197]) ).

fof(f197,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386',co1_2) ).

fof(f254,plain,
    ( ~ ssList(sk4)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f252]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC309-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n014.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:13:33 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  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/tmp/tmp.RbHv6SbME2/Vampire---4.8_17386
% 0.58/0.75  % (17648)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 Vampire---4 for (2996ds/83Mi)
% 0.58/0.75  % (17644)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (17645)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (17643)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 Vampire---4 for (2996ds/51Mi)
% 0.58/0.75  % (17646)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (17647)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.76  % (17649)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76  % (17647)Refutation not found, incomplete strategy% (17647)------------------------------
% 0.58/0.76  % (17647)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (17647)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (17647)Memory used [KB]: 1157
% 0.58/0.76  % (17647)Time elapsed: 0.003 s
% 0.58/0.76  % (17647)Instructions burned: 3 (million)
% 0.58/0.76  % (17647)------------------------------
% 0.58/0.76  % (17647)------------------------------
% 0.58/0.76  % (17649)Refutation not found, incomplete strategy% (17649)------------------------------
% 0.58/0.76  % (17649)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (17649)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (17649)Memory used [KB]: 1159
% 0.58/0.76  % (17649)Time elapsed: 0.004 s
% 0.58/0.76  % (17649)Instructions burned: 3 (million)
% 0.58/0.76  % (17649)------------------------------
% 0.58/0.76  % (17649)------------------------------
% 0.61/0.76  % (17642)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 Vampire---4 for (2996ds/34Mi)
% 0.61/0.76  % (17651)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 Vampire---4 for (2996ds/50Mi)
% 0.61/0.76  % (17642)Refutation not found, incomplete strategy% (17642)------------------------------
% 0.61/0.76  % (17642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (17642)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (17642)Memory used [KB]: 1192
% 0.61/0.76  % (17642)Time elapsed: 0.006 s
% 0.61/0.76  % (17642)Instructions burned: 6 (million)
% 0.61/0.76  % (17642)------------------------------
% 0.61/0.76  % (17642)------------------------------
% 0.61/0.76  % (17643)First to succeed.
% 0.61/0.76  % (17650)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 Vampire---4 for (2996ds/55Mi)
% 0.61/0.77  % (17643)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (17643)------------------------------
% 0.61/0.77  % (17643)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (17643)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (17643)Memory used [KB]: 1286
% 0.61/0.77  % (17643)Time elapsed: 0.012 s
% 0.61/0.77  % (17643)Instructions burned: 17 (million)
% 0.61/0.77  % (17643)------------------------------
% 0.61/0.77  % (17643)------------------------------
% 0.61/0.77  % (17638)Success in time 0.386 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------