TSTP Solution File: SWV002-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV002-1 : TPTP v8.2.0. Released v1.0.0.
% 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 : n021.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 05:53:27 EDT 2024

% Result   : Unsatisfiable 0.51s 0.69s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   34 (  11 unt;   0 def)
%            Number of atoms       :   61 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  29   ~;  23   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f208,plain,
    $false,
    inference(avatar_sat_refutation,[],[f79,f175,f182,f195,f207]) ).

fof(f207,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f206]) ).

fof(f206,plain,
    ( $false
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f201,f100]) ).

fof(f100,plain,
    ~ less_than(a(k),a(j)),
    inference(resolution,[],[f17,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anti_symmetry_of_less_than) ).

fof(f17,axiom,
    less_than(a(j),a(k)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f201,plain,
    ( less_than(a(k),a(j))
    | ~ spl0_18 ),
    inference(superposition,[],[f23,f174]) ).

fof(f174,plain,
    ( a(k) = a(q)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl0_18
  <=> a(k) = a(q) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f23,axiom,
    less_than(a(q),a(j)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).

fof(f195,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f188,f9]) ).

fof(f9,axiom,
    ! [X0] : ~ less_than(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_not_less_than_x) ).

fof(f188,plain,
    ( less_than(a(j),a(j))
    | ~ spl0_10 ),
    inference(superposition,[],[f23,f78]) ).

fof(f78,plain,
    ( j = q
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl0_10
  <=> j = q ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f182,plain,
    ( ~ spl0_9
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f181,f168,f72]) ).

fof(f72,plain,
    ( spl0_9
  <=> less_than(q,j) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f168,plain,
    ( spl0_17
  <=> less_than(a(q),a(k)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f181,plain,
    ( ~ less_than(q,j)
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f176,f21]) ).

fof(f21,axiom,
    ~ less_than(q,i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

fof(f176,plain,
    ( ~ less_than(q,j)
    | less_than(q,i)
    | ~ spl0_17 ),
    inference(resolution,[],[f170,f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ~ less_than(a(X0),a(k))
      | ~ less_than(X0,j)
      | less_than(X0,i) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f170,plain,
    ( less_than(a(q),a(k))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f175,plain,
    ( spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f165,f172,f168]) ).

fof(f165,plain,
    ( a(k) = a(q)
    | less_than(a(q),a(k)) ),
    inference(resolution,[],[f162,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | X0 = X1
      | less_than(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_related) ).

fof(f162,plain,
    ~ less_than(a(k),a(q)),
    inference(resolution,[],[f105,f17]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ less_than(a(j),X0)
      | ~ less_than(X0,a(q)) ),
    inference(resolution,[],[f101,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( less_than(X0,X2)
      | ~ less_than(X0,X1)
      | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).

fof(f101,plain,
    ~ less_than(a(j),a(q)),
    inference(resolution,[],[f23,f10]) ).

fof(f79,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f69,f76,f72]) ).

fof(f69,plain,
    ( j = q
    | less_than(q,j) ),
    inference(resolution,[],[f22,f8]) ).

fof(f22,axiom,
    ~ less_than(j,q),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SWV002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.13/0.13  % 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
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 06:16:53 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
% 0.51/0.68  % (13782)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)
% 0.51/0.69  % (13777)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)
% 0.51/0.69  % (13780)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)
% 0.51/0.69  % (13781)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)
% 0.51/0.69  % (13784)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)
% 0.51/0.69  % (13782)First to succeed.
% 0.51/0.69  % (13783)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)
% 0.51/0.69  % (13782)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13776"
% 0.51/0.69  % (13782)Refutation found. Thanks to Tanya!
% 0.51/0.69  % SZS status Unsatisfiable for theBenchmark
% 0.51/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.69  % (13782)------------------------------
% 0.51/0.69  % (13782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (13782)Termination reason: Refutation
% 0.51/0.69  
% 0.51/0.69  % (13782)Memory used [KB]: 1093
% 0.51/0.69  % (13782)Time elapsed: 0.004 s
% 0.51/0.69  % (13782)Instructions burned: 7 (million)
% 0.51/0.69  % (13776)Success in time 0.332 s
% 0.51/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------