TSTP Solution File: COM016+4 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM016+4 : TPTP v8.1.2. Released v4.0.0.
% 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 : n004.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 : Sun May  5 04:46:13 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (   4 unt;   0 def)
%            Number of atoms       :  123 (   4 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  125 (  35   ~;  41   |;  43   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   14 (   4   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f262,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f236,f241,f243,f261]) ).

fof(f261,plain,
    ( ~ spl22_6
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f260,plain,
    ( $false
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(subsumption_resolution,[],[f259,f240]) ).

fof(f240,plain,
    ( aElement0(sK13)
    | ~ spl22_8 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl22_8
  <=> aElement0(sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).

fof(f259,plain,
    ( ~ aElement0(sK13)
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(subsumption_resolution,[],[f257,f235]) ).

fof(f235,plain,
    ( aReductOfIn0(sK13,xa,xR)
    | ~ spl22_7 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl22_7
  <=> aReductOfIn0(sK13,xa,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).

fof(f257,plain,
    ( ~ aReductOfIn0(sK13,xa,xR)
    | ~ aElement0(sK13)
    | ~ spl22_6 ),
    inference(resolution,[],[f149,f230]) ).

fof(f230,plain,
    ( sdtmndtplgtdt0(sK13,xR,xb)
    | ~ spl22_6 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl22_6
  <=> sdtmndtplgtdt0(sK13,xR,xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(X0,xR,xb)
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ( ~ sdtmndtasgtdt0(X0,xR,xb)
        & ~ sdtmndtplgtdt0(X0,xR,xb)
        & ! [X1] :
            ( ~ sdtmndtplgtdt0(X1,xR,xb)
            | ~ aReductOfIn0(X1,X0,xR)
            | ~ aElement0(X1) )
        & ~ aReductOfIn0(xb,X0,xR)
        & xb != X0 )
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ? [X0] :
        ( ( sdtmndtasgtdt0(X0,xR,xb)
          | sdtmndtplgtdt0(X0,xR,xb)
          | ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,xb)
              & aReductOfIn0(X1,X0,xR)
              & aElement0(X1) )
          | aReductOfIn0(xb,X0,xR)
          | xb = X0 )
        & aReductOfIn0(X0,xa,xR)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ? [X0] :
      ( ( sdtmndtasgtdt0(X0,xR,xb)
        | sdtmndtplgtdt0(X0,xR,xb)
        | ? [X1] :
            ( sdtmndtplgtdt0(X1,xR,xb)
            & aReductOfIn0(X1,X0,xR)
            & aElement0(X1) )
        | aReductOfIn0(xb,X0,xR)
        | xb = X0 )
      & aReductOfIn0(X0,xa,xR)
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.A5DFM4MrOV/Vampire---4.8_10708',m__) ).

fof(f243,plain,
    ~ spl22_5,
    inference(avatar_split_clause,[],[f242,f224]) ).

fof(f224,plain,
    ( spl22_5
  <=> aReductOfIn0(xb,xa,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).

fof(f242,plain,
    ~ aReductOfIn0(xb,xa,xR),
    inference(subsumption_resolution,[],[f181,f114]) ).

fof(f114,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( aElement0(xc)
    & aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox2/tmp/tmp.A5DFM4MrOV/Vampire---4.8_10708',m__731) ).

fof(f181,plain,
    ( ~ aReductOfIn0(xb,xa,xR)
    | ~ aElement0(xb) ),
    inference(equality_resolution,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( xb != X0
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f241,plain,
    ( spl22_5
    | spl22_8 ),
    inference(avatar_split_clause,[],[f138,f238,f224]) ).

fof(f138,plain,
    ( aElement0(sK13)
    | aReductOfIn0(xb,xa,xR) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( sdtmndtplgtdt0(xa,xR,xc)
    & ( ( sdtmndtplgtdt0(sK12,xR,xc)
        & aReductOfIn0(sK12,xa,xR)
        & aElement0(sK12) )
      | aReductOfIn0(xc,xa,xR) )
    & sdtmndtplgtdt0(xa,xR,xb)
    & ( ( sdtmndtplgtdt0(sK13,xR,xb)
        & aReductOfIn0(sK13,xa,xR)
        & aElement0(sK13) )
      | aReductOfIn0(xb,xa,xR) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f24,f76,f75]) ).

fof(f75,plain,
    ( ? [X0] :
        ( sdtmndtplgtdt0(X0,xR,xc)
        & aReductOfIn0(X0,xa,xR)
        & aElement0(X0) )
   => ( sdtmndtplgtdt0(sK12,xR,xc)
      & aReductOfIn0(sK12,xa,xR)
      & aElement0(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ( ? [X1] :
        ( sdtmndtplgtdt0(X1,xR,xb)
        & aReductOfIn0(X1,xa,xR)
        & aElement0(X1) )
   => ( sdtmndtplgtdt0(sK13,xR,xb)
      & aReductOfIn0(sK13,xa,xR)
      & aElement0(sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ( sdtmndtplgtdt0(xa,xR,xc)
    & ( ? [X0] :
          ( sdtmndtplgtdt0(X0,xR,xc)
          & aReductOfIn0(X0,xa,xR)
          & aElement0(X0) )
      | aReductOfIn0(xc,xa,xR) )
    & sdtmndtplgtdt0(xa,xR,xb)
    & ( ? [X1] :
          ( sdtmndtplgtdt0(X1,xR,xb)
          & aReductOfIn0(X1,xa,xR)
          & aElement0(X1) )
      | aReductOfIn0(xb,xa,xR) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ( sdtmndtplgtdt0(xa,xR,xc)
    & ( ? [X0] :
          ( sdtmndtplgtdt0(X0,xR,xc)
          & aReductOfIn0(X0,xa,xR)
          & aElement0(X0) )
      | aReductOfIn0(xc,xa,xR) )
    & sdtmndtplgtdt0(xa,xR,xb)
    & ( ? [X0] :
          ( sdtmndtplgtdt0(X0,xR,xb)
          & aReductOfIn0(X0,xa,xR)
          & aElement0(X0) )
      | aReductOfIn0(xb,xa,xR) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A5DFM4MrOV/Vampire---4.8_10708',m__731_02) ).

fof(f236,plain,
    ( spl22_5
    | spl22_7 ),
    inference(avatar_split_clause,[],[f139,f233,f224]) ).

fof(f139,plain,
    ( aReductOfIn0(sK13,xa,xR)
    | aReductOfIn0(xb,xa,xR) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f231,plain,
    ( spl22_5
    | spl22_6 ),
    inference(avatar_split_clause,[],[f140,f228,f224]) ).

fof(f140,plain,
    ( sdtmndtplgtdt0(sK13,xR,xb)
    | aReductOfIn0(xb,xa,xR) ),
    inference(cnf_transformation,[],[f77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : COM016+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:24:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/tmp/tmp.A5DFM4MrOV/Vampire---4.8_10708
% 0.56/0.75  % (11046)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)
% 0.56/0.75  % (11039)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)
% 0.56/0.75  % (11042)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)
% 0.56/0.75  % (11040)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)
% 0.56/0.75  % (11041)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (11044)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)
% 0.56/0.75  % (11043)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)
% 0.56/0.75  % (11045)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)
% 0.56/0.75  % (11046)First to succeed.
% 0.56/0.75  % (11046)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10880"
% 0.56/0.75  % (11046)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (11046)------------------------------
% 0.56/0.75  % (11046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (11046)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (11046)Memory used [KB]: 1145
% 0.56/0.75  % (11046)Time elapsed: 0.004 s
% 0.56/0.75  % (11046)Instructions burned: 9 (million)
% 0.56/0.75  % (10880)Success in time 0.384 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------