TSTP Solution File: SWV408+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV408+1 : TPTP v8.2.0. Released v3.3.0.
% 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 : n029.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 05:55:38 EDT 2024

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (   8 unt;   0 def)
%            Number of atoms       :   94 (  11 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   99 (  41   ~;  37   |;  14   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   54 (  41   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f237,plain,
    $false,
    inference(avatar_sat_refutation,[],[f124,f197,f235]) ).

fof(f235,plain,
    ~ spl5_1,
    inference(avatar_contradiction_clause,[],[f234]) ).

fof(f234,plain,
    ( $false
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f225,f87]) ).

fof(f87,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] : ~ contains_slb(create_slb,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f225,plain,
    ( contains_slb(create_slb,sK4)
    | ~ spl5_1 ),
    inference(superposition,[],[f72,f119]) ).

fof(f119,plain,
    ( create_slb = sK2
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl5_1
  <=> create_slb = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f72,plain,
    contains_slb(sK2,sK4),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ? [X0,X1,X2,X3] :
      ( ! [X4] :
          ( ~ less_than(findmin_pqp_res(X0),X4)
          | ~ pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
      & ~ pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
      & strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
      & contains_slb(X1,X3) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ? [X0,X1,X2,X3] :
      ( ! [X4] :
          ( ~ less_than(findmin_pqp_res(X0),X4)
          | ~ pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
      & ~ pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0))
      & strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
      & contains_slb(X1,X3) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
          & contains_slb(X1,X3) )
       => ( ? [X4] :
              ( less_than(findmin_pqp_res(X0),X4)
              & pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
          | pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0)) ) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
        & contains_slb(X1,X3) )
     => ( ? [X4] :
            ( less_than(findmin_pqp_res(X0),X4)
            & pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,X4) )
        | pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X3,findmin_pqp_res(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).

fof(f197,plain,
    ~ spl5_2,
    inference(avatar_contradiction_clause,[],[f196]) ).

fof(f196,plain,
    ( $false
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f195,f186]) ).

fof(f186,plain,
    ( less_than(findmin_pqp_res(sK1),sK0(sK2,sK4,findmin_pqp_res(sK1)))
    | ~ spl5_2 ),
    inference(unit_resulting_resolution,[],[f72,f123,f74,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( less_than(X2,sK0(X0,X1,X2))
      | ~ strictly_less_than(X1,X2)
      | pair_in_list(update_slb(X0,X2),X1,X2)
      | ~ contains_slb(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( less_than(X2,X3)
          & pair_in_list(update_slb(X0,X2),X1,X3) )
      | pair_in_list(update_slb(X0,X2),X1,X2)
      | ~ strictly_less_than(X1,X2)
      | ~ contains_slb(X0,X1) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( less_than(X2,X3)
          & pair_in_list(update_slb(X0,X2),X1,X3) )
      | pair_in_list(update_slb(X0,X2),X1,X2)
      | ~ strictly_less_than(X1,X2)
      | ~ contains_slb(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( ( strictly_less_than(X1,X2)
        & contains_slb(X0,X1) )
     => ( ? [X3] :
            ( less_than(X2,X3)
            & pair_in_list(update_slb(X0,X2),X1,X3) )
        | pair_in_list(update_slb(X0,X2),X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_l45) ).

fof(f74,plain,
    ~ pair_in_list(update_slb(sK2,findmin_pqp_res(sK1)),sK4,findmin_pqp_res(sK1)),
    inference(cnf_transformation,[],[f52]) ).

fof(f123,plain,
    ( strictly_less_than(sK4,findmin_pqp_res(sK1))
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl5_2
  <=> strictly_less_than(sK4,findmin_pqp_res(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f195,plain,
    ( ~ less_than(findmin_pqp_res(sK1),sK0(sK2,sK4,findmin_pqp_res(sK1)))
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f194,f72]) ).

fof(f194,plain,
    ( ~ contains_slb(sK2,sK4)
    | ~ less_than(findmin_pqp_res(sK1),sK0(sK2,sK4,findmin_pqp_res(sK1)))
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f193,f74]) ).

fof(f193,plain,
    ( pair_in_list(update_slb(sK2,findmin_pqp_res(sK1)),sK4,findmin_pqp_res(sK1))
    | ~ contains_slb(sK2,sK4)
    | ~ less_than(findmin_pqp_res(sK1),sK0(sK2,sK4,findmin_pqp_res(sK1)))
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f191,f123]) ).

fof(f191,plain,
    ( ~ strictly_less_than(sK4,findmin_pqp_res(sK1))
    | pair_in_list(update_slb(sK2,findmin_pqp_res(sK1)),sK4,findmin_pqp_res(sK1))
    | ~ contains_slb(sK2,sK4)
    | ~ less_than(findmin_pqp_res(sK1),sK0(sK2,sK4,findmin_pqp_res(sK1))) ),
    inference(resolution,[],[f69,f71]) ).

fof(f71,plain,
    ! [X4] :
      ( ~ pair_in_list(update_slb(sK2,findmin_pqp_res(sK1)),sK4,X4)
      | ~ less_than(findmin_pqp_res(sK1),X4) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( pair_in_list(update_slb(X0,X2),X1,sK0(X0,X1,X2))
      | ~ strictly_less_than(X1,X2)
      | pair_in_list(update_slb(X0,X2),X1,X2)
      | ~ contains_slb(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f124,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f115,f121,f117]) ).

fof(f115,plain,
    ( strictly_less_than(sK4,findmin_pqp_res(sK1))
    | create_slb = sK2 ),
    inference(superposition,[],[f73,f94]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(f73,plain,
    strictly_less_than(sK4,findmin_cpq_res(triple(sK1,sK2,sK3))),
    inference(cnf_transformation,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWV408+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.13  % 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
% 0.13/0.34  % Computer : n029.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 08:52:52 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34  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
% 0.61/0.82  % (11429)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)
% 0.61/0.82  % (11431)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.82  % (11432)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)
% 0.61/0.82  % (11430)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)
% 0.61/0.82  % (11433)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)
% 0.61/0.82  % (11435)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)
% 0.61/0.82  % (11434)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)
% 0.61/0.82  % (11436)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)
% 0.61/0.82  % (11435)First to succeed.
% 0.61/0.82  % (11435)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11428"
% 0.61/0.83  % (11435)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Theorem for theBenchmark
% 0.61/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.83  % (11435)------------------------------
% 0.61/0.83  % (11435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (11435)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (11435)Memory used [KB]: 1138
% 0.61/0.83  % (11435)Time elapsed: 0.007 s
% 0.61/0.83  % (11435)Instructions burned: 9 (million)
% 0.61/0.83  % (11428)Success in time 0.482 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------