TSTP Solution File: ITP010+5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP010+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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 : 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 : Sun May  5 06:47:20 EDT 2024

% Result   : Theorem 1.84s 1.48s
% Output   : Refutation 1.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :  114 (   3 equ)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :  130 (  37   ~;  26   |;  47   &)
%                                         (   3 <=>;  16  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   40 (  12   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11156,plain,
    $false,
    inference(subsumption_resolution,[],[f11154,f11155]) ).

fof(f11155,plain,
    p(sF235),
    inference(duplicate_literal_removal,[],[f11101]) ).

fof(f11101,plain,
    ( p(sF235)
    | p(sF235) ),
    inference(definition_folding,[],[f9973,f11100,f11099,f11098,f11100,f11099,f11098]) ).

fof(f11098,plain,
    c_2Ecardinal_2Ecardleq(sK78,sK79) = sF233,
    introduced(function_definition,[new_symbols(definition,[sF233])]) ).

fof(f11099,plain,
    ap(sF233,sK80) = sF234,
    introduced(function_definition,[new_symbols(definition,[sF234])]) ).

fof(f11100,plain,
    ap(sF234,sK81) = sF235,
    introduced(function_definition,[new_symbols(definition,[sF235])]) ).

fof(f9973,plain,
    ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81))
    | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81)) ),
    inference(cnf_transformation,[],[f9335]) ).

fof(f9335,plain,
    ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81))
      | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81)) )
    & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81))
      | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81)) )
    & mem(sK81,arr(sK79,bool))
    & mem(sK80,arr(sK78,bool))
    & ne(sK79)
    & ne(sK78) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK78,sK79,sK80,sK81])],[f9330,f9334,f9333,f9332,f9331]) ).

fof(f9331,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                      | p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                    & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                      | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                    & mem(X3,arr(X1,bool)) )
                & mem(X2,arr(X0,bool)) )
            & ne(X1) )
        & ne(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3))
                    | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3)) )
                  & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3))
                    | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3)) )
                  & mem(X3,arr(X1,bool)) )
              & mem(X2,arr(sK78,bool)) )
          & ne(X1) )
      & ne(sK78) ) ),
    introduced(choice_axiom,[]) ).

fof(f9332,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3))
                  | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3)) )
                & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3))
                  | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,X1),X2),X3)) )
                & mem(X3,arr(X1,bool)) )
            & mem(X2,arr(sK78,bool)) )
        & ne(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3))
                | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3)) )
              & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3))
                | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3)) )
              & mem(X3,arr(sK79,bool)) )
          & mem(X2,arr(sK78,bool)) )
      & ne(sK79) ) ),
    introduced(choice_axiom,[]) ).

fof(f9333,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3))
              | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3)) )
            & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3))
              | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),X2),X3)) )
            & mem(X3,arr(sK79,bool)) )
        & mem(X2,arr(sK78,bool)) )
   => ( ? [X3] :
          ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3))
            | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3)) )
          & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3))
            | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3)) )
          & mem(X3,arr(sK79,bool)) )
      & mem(sK80,arr(sK78,bool)) ) ),
    introduced(choice_axiom,[]) ).

fof(f9334,plain,
    ( ? [X3] :
        ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3))
          | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3)) )
        & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3))
          | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),X3)) )
        & mem(X3,arr(sK79,bool)) )
   => ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81))
        | p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81)) )
      & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81))
        | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81)) )
      & mem(sK81,arr(sK79,bool)) ) ),
    introduced(choice_axiom,[]) ).

fof(f9330,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                    | p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                  & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                    | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                  & mem(X3,arr(X1,bool)) )
              & mem(X2,arr(X0,bool)) )
          & ne(X1) )
      & ne(X0) ),
    inference(flattening,[],[f9329]) ).

fof(f9329,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                    | p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                  & ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                    | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                  & mem(X3,arr(X1,bool)) )
              & mem(X2,arr(X0,bool)) )
          & ne(X1) )
      & ne(X0) ),
    inference(nnf_transformation,[],[f8877]) ).

fof(f8877,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                  <~> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) )
                  & mem(X3,arr(X1,bool)) )
              & mem(X2,arr(X0,bool)) )
          & ne(X1) )
      & ne(X0) ),
    inference(ennf_transformation,[],[f8600]) ).

fof(f8600,plain,
    ~ ! [X0] :
        ( ne(X0)
       => ! [X1] :
            ( ne(X1)
           => ! [X2] :
                ( mem(X2,arr(X0,bool))
               => ! [X3] :
                    ( mem(X3,arr(X1,bool))
                   => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3))
                    <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X0,X1),X2),X3)) ) ) ) ) ),
    inference(rectify,[],[f8599]) ).

fof(f8599,negated_conjecture,
    ~ ! [X8] :
        ( ne(X8)
       => ! [X10] :
            ( ne(X10)
           => ! [X167] :
                ( mem(X167,arr(X8,bool))
               => ! [X41] :
                    ( mem(X41,arr(X10,bool))
                   => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X10),X167),X41))
                    <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X10),X167),X41)) ) ) ) ) ),
    inference(negated_conjecture,[],[f8598]) ).

fof(f8598,conjecture,
    ! [X8] :
      ( ne(X8)
     => ! [X10] :
          ( ne(X10)
         => ! [X167] :
              ( mem(X167,arr(X8,bool))
             => ! [X41] :
                  ( mem(X41,arr(X10,bool))
                 => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X10),X167),X41))
                  <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X8,X10),X167),X41)) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.dBQMvGkKz5/Vampire---4.8_28936',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).

fof(f11154,plain,
    ~ p(sF235),
    inference(duplicate_literal_removal,[],[f11102]) ).

fof(f11102,plain,
    ( ~ p(sF235)
    | ~ p(sF235) ),
    inference(definition_folding,[],[f9972,f11100,f11099,f11098,f11100,f11099,f11098]) ).

fof(f9972,plain,
    ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81))
    | ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sK78,sK79),sK80),sK81)) ),
    inference(cnf_transformation,[],[f9335]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ITP010+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n005.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 19:03:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.dBQMvGkKz5/Vampire---4.8_28936
% 1.09/1.33  % (29052)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 (2990ds/56Mi)
% 1.09/1.33  % (29045)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 (2990ds/34Mi)
% 1.09/1.33  % (29046)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 (2990ds/51Mi)
% 1.09/1.33  % (29047)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2990ds/78Mi)
% 1.18/1.33  % (29048)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2990ds/33Mi)
% 1.18/1.33  % (29049)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 (2990ds/34Mi)
% 1.18/1.33  % (29050)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2990ds/45Mi)
% 1.18/1.33  % (29051)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 (2990ds/83Mi)
% 1.18/1.35  % (29052)Instruction limit reached!
% 1.18/1.35  % (29052)------------------------------
% 1.18/1.35  % (29052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.35  % (29052)Termination reason: Unknown
% 1.18/1.35  % (29052)Termination phase: SInE selection
% 1.18/1.35  
% 1.18/1.35  % (29052)Memory used [KB]: 22999
% 1.18/1.35  % (29052)Time elapsed: 0.020 s
% 1.18/1.35  % (29052)Instructions burned: 57 (million)
% 1.18/1.35  % (29052)------------------------------
% 1.18/1.35  % (29052)------------------------------
% 1.18/1.35  % (29048)Instruction limit reached!
% 1.18/1.35  % (29048)------------------------------
% 1.18/1.35  % (29048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.35  % (29048)Termination reason: Unknown
% 1.18/1.35  % (29048)Termination phase: SInE selection
% 1.18/1.35  
% 1.18/1.35  % (29048)Memory used [KB]: 22900
% 1.18/1.35  % (29048)Time elapsed: 0.021 s
% 1.18/1.35  % (29048)Instructions burned: 34 (million)
% 1.18/1.35  % (29048)------------------------------
% 1.18/1.35  % (29048)------------------------------
% 1.18/1.35  % (29049)Instruction limit reached!
% 1.18/1.35  % (29049)------------------------------
% 1.18/1.35  % (29049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.35  % (29045)Instruction limit reached!
% 1.18/1.35  % (29045)------------------------------
% 1.18/1.35  % (29045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.35  % (29045)Termination reason: Unknown
% 1.18/1.35  % (29045)Termination phase: SInE selection
% 1.18/1.35  
% 1.18/1.35  % (29045)Memory used [KB]: 22900
% 1.18/1.35  % (29045)Time elapsed: 0.022 s
% 1.18/1.35  % (29045)Instructions burned: 35 (million)
% 1.18/1.35  % (29045)------------------------------
% 1.18/1.35  % (29045)------------------------------
% 1.18/1.35  % (29049)Termination reason: Unknown
% 1.18/1.35  % (29049)Termination phase: SInE selection
% 1.18/1.35  
% 1.18/1.35  % (29049)Memory used [KB]: 22900
% 1.18/1.35  % (29049)Time elapsed: 0.021 s
% 1.18/1.35  % (29049)Instructions burned: 34 (million)
% 1.18/1.35  % (29049)------------------------------
% 1.18/1.35  % (29049)------------------------------
% 1.18/1.36  % (29053)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 (2990ds/55Mi)
% 1.18/1.36  % (29054)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 (2990ds/50Mi)
% 1.18/1.36  % (29055)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2990ds/208Mi)
% 1.18/1.36  % (29056)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2990ds/52Mi)
% 1.18/1.36  % (29050)Instruction limit reached!
% 1.18/1.36  % (29050)------------------------------
% 1.18/1.36  % (29050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.36  % (29050)Termination reason: Unknown
% 1.18/1.36  % (29050)Termination phase: SInE selection
% 1.18/1.36  
% 1.18/1.36  % (29050)Memory used [KB]: 22900
% 1.18/1.36  % (29050)Time elapsed: 0.028 s
% 1.18/1.36  % (29050)Instructions burned: 45 (million)
% 1.18/1.36  % (29050)------------------------------
% 1.18/1.36  % (29050)------------------------------
% 1.18/1.36  % (29046)Instruction limit reached!
% 1.18/1.36  % (29046)------------------------------
% 1.18/1.36  % (29046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.36  % (29046)Termination reason: Unknown
% 1.18/1.36  % (29046)Termination phase: SInE selection
% 1.18/1.36  
% 1.18/1.36  % (29046)Memory used [KB]: 22983
% 1.18/1.36  % (29046)Time elapsed: 0.032 s
% 1.18/1.36  % (29046)Instructions burned: 51 (million)
% 1.18/1.36  % (29046)------------------------------
% 1.18/1.36  % (29046)------------------------------
% 1.18/1.37  % (29057)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2989ds/518Mi)
% 1.18/1.37  % (29058)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2989ds/42Mi)
% 1.18/1.37  % (29053)Instruction limit reached!
% 1.18/1.37  % (29053)------------------------------
% 1.18/1.37  % (29053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.37  % (29053)Termination reason: Unknown
% 1.18/1.37  % (29053)Termination phase: SInE selection
% 1.18/1.37  
% 1.18/1.37  % (29053)Memory used [KB]: 22999
% 1.18/1.37  % (29053)Time elapsed: 0.019 s
% 1.18/1.37  % (29053)Instructions burned: 55 (million)
% 1.18/1.37  % (29053)------------------------------
% 1.18/1.37  % (29053)------------------------------
% 1.18/1.38  % (29059)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2989ds/243Mi)
% 1.18/1.38  % (29047)Instruction limit reached!
% 1.18/1.38  % (29047)------------------------------
% 1.18/1.38  % (29047)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.38  % (29047)Termination reason: Unknown
% 1.18/1.38  % (29047)Termination phase: SInE selection
% 1.18/1.38  
% 1.18/1.38  % (29047)Memory used [KB]: 23051
% 1.18/1.38  % (29047)Time elapsed: 0.046 s
% 1.18/1.38  % (29047)Instructions burned: 78 (million)
% 1.18/1.38  % (29047)------------------------------
% 1.18/1.38  % (29047)------------------------------
% 1.18/1.38  % (29051)Instruction limit reached!
% 1.18/1.38  % (29051)------------------------------
% 1.18/1.38  % (29051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.38  % (29051)Termination reason: Unknown
% 1.18/1.38  % (29051)Termination phase: SInE selection
% 1.18/1.38  
% 1.18/1.38  % (29051)Memory used [KB]: 23063
% 1.18/1.38  % (29051)Time elapsed: 0.049 s
% 1.18/1.38  % (29051)Instructions burned: 84 (million)
% 1.18/1.38  % (29051)------------------------------
% 1.18/1.38  % (29051)------------------------------
% 1.18/1.38  % (29060)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2989ds/117Mi)
% 1.18/1.39  % (29061)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2989ds/143Mi)
% 1.18/1.39  % (29054)Instruction limit reached!
% 1.18/1.39  % (29054)------------------------------
% 1.18/1.39  % (29054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.39  % (29054)Termination reason: Unknown
% 1.18/1.39  % (29054)Termination phase: SInE selection
% 1.18/1.39  
% 1.18/1.39  % (29054)Memory used [KB]: 22984
% 1.18/1.39  % (29054)Time elapsed: 0.033 s
% 1.18/1.39  % (29054)Instructions burned: 51 (million)
% 1.18/1.39  % (29054)------------------------------
% 1.18/1.39  % (29054)------------------------------
% 1.18/1.39  % (29056)Instruction limit reached!
% 1.18/1.39  % (29056)------------------------------
% 1.18/1.39  % (29056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/1.39  % (29056)Termination reason: Unknown
% 1.18/1.39  % (29056)Termination phase: SInE selection
% 1.18/1.39  
% 1.18/1.39  % (29056)Memory used [KB]: 22983
% 1.18/1.39  % (29056)Time elapsed: 0.033 s
% 1.18/1.39  % (29056)Instructions burned: 53 (million)
% 1.18/1.39  % (29056)------------------------------
% 1.18/1.39  % (29056)------------------------------
% 1.53/1.39  % (29058)Instruction limit reached!
% 1.53/1.39  % (29058)------------------------------
% 1.53/1.39  % (29058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/1.39  % (29058)Termination reason: Unknown
% 1.53/1.39  % (29058)Termination phase: Preprocessing 1
% 1.53/1.39  
% 1.53/1.39  % (29058)Memory used [KB]: 24947
% 1.53/1.39  % (29058)Time elapsed: 0.026 s
% 1.53/1.39  % (29058)Instructions burned: 43 (million)
% 1.53/1.39  % (29058)------------------------------
% 1.53/1.39  % (29058)------------------------------
% 1.53/1.40  % (29062)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2989ds/93Mi)
% 1.53/1.40  % (29063)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2989ds/62Mi)
% 1.53/1.40  % (29064)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2989ds/32Mi)
% 1.53/1.42  % (29064)Instruction limit reached!
% 1.53/1.42  % (29064)------------------------------
% 1.53/1.42  % (29064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/1.42  % (29064)Termination reason: Unknown
% 1.53/1.42  % (29064)Termination phase: SInE selection
% 1.53/1.42  
% 1.53/1.42  % (29064)Memory used [KB]: 22901
% 1.53/1.42  % (29064)Time elapsed: 0.021 s
% 1.53/1.42  % (29064)Instructions burned: 33 (million)
% 1.53/1.42  % (29064)------------------------------
% 1.53/1.42  % (29064)------------------------------
% 1.53/1.42  % (29065)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2989ds/1919Mi)
% 1.53/1.43  % (29063)Instruction limit reached!
% 1.53/1.43  % (29063)------------------------------
% 1.53/1.43  % (29063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/1.43  % (29063)Termination reason: Unknown
% 1.53/1.43  % (29063)Termination phase: Preprocessing 1
% 1.53/1.43  
% 1.53/1.43  % (29063)Memory used [KB]: 26009
% 1.53/1.43  % (29063)Time elapsed: 0.036 s
% 1.53/1.43  % (29063)Instructions burned: 63 (million)
% 1.53/1.43  % (29063)------------------------------
% 1.53/1.43  % (29063)------------------------------
% 1.53/1.44  % (29066)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2989ds/55Mi)
% 1.53/1.45  % (29062)Instruction limit reached!
% 1.53/1.45  % (29062)------------------------------
% 1.53/1.45  % (29062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/1.45  % (29062)Termination reason: Unknown
% 1.53/1.45  % (29062)Termination phase: Preprocessing 1
% 1.53/1.45  
% 1.53/1.45  % (29062)Memory used [KB]: 27333
% 1.53/1.45  % (29062)Time elapsed: 0.052 s
% 1.53/1.45  % (29062)Instructions burned: 94 (million)
% 1.53/1.45  % (29062)------------------------------
% 1.53/1.45  % (29062)------------------------------
% 1.53/1.45  % (29059)Instruction limit reached!
% 1.53/1.45  % (29059)------------------------------
% 1.53/1.45  % (29059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/1.45  % (29059)Termination reason: Unknown
% 1.53/1.45  % (29059)Termination phase: NewCNF
% 1.53/1.45  
% 1.53/1.45  % (29059)Memory used [KB]: 27642
% 1.53/1.45  % (29059)Time elapsed: 0.075 s
% 1.53/1.45  % (29059)Instructions burned: 243 (million)
% 1.53/1.45  % (29059)------------------------------
% 1.53/1.45  % (29059)------------------------------
% 1.53/1.45  % (29067)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2989ds/53Mi)
% 1.53/1.45  % (29060)Instruction limit reached!
% 1.53/1.45  % (29060)------------------------------
% 1.53/1.45  % (29060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/1.45  % (29060)Termination reason: Unknown
% 1.53/1.45  % (29060)Termination phase: Preprocessing 1
% 1.53/1.45  
% 1.53/1.45  % (29060)Memory used [KB]: 23145
% 1.53/1.45  % (29060)Time elapsed: 0.072 s
% 1.76/1.45  % (29060)Instructions burned: 117 (million)
% 1.76/1.45  % (29060)------------------------------
% 1.76/1.45  % (29060)------------------------------
% 1.76/1.45  % (29068)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2989ds/46Mi)
% 1.84/1.46  % (29069)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2989ds/102Mi)
% 1.84/1.46  % (29061)Instruction limit reached!
% 1.84/1.46  % (29061)------------------------------
% 1.84/1.46  % (29061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.84/1.46  % (29061)Termination reason: Unknown
% 1.84/1.46  % (29061)Termination phase: Preprocessing 1
% 1.84/1.46  
% 1.84/1.46  % (29061)Memory used [KB]: 30190
% 1.84/1.46  % (29061)Time elapsed: 0.078 s
% 1.84/1.46  % (29061)Instructions burned: 144 (million)
% 1.84/1.46  % (29061)------------------------------
% 1.84/1.46  % (29061)------------------------------
% 1.84/1.47  % (29055)First to succeed.
% 1.84/1.47  % (29055)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29043"
% 1.84/1.47  % (29068)Instruction limit reached!
% 1.84/1.47  % (29068)------------------------------
% 1.84/1.47  % (29068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.84/1.47  % (29068)Termination reason: Unknown
% 1.84/1.47  % (29068)Termination phase: Preprocessing 1
% 1.84/1.47  
% 1.84/1.47  % (29068)Memory used [KB]: 25142
% 1.84/1.47  % (29068)Time elapsed: 0.016 s
% 1.84/1.47  % (29068)Instructions burned: 49 (million)
% 1.84/1.47  % (29068)------------------------------
% 1.84/1.47  % (29068)------------------------------
% 1.84/1.47  % (29070)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2988ds/35Mi)
% 1.84/1.47  % (29066)Instruction limit reached!
% 1.84/1.47  % (29066)------------------------------
% 1.84/1.47  % (29066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.84/1.47  % (29066)Termination reason: Unknown
% 1.84/1.47  % (29066)Termination phase: SInE selection
% 1.84/1.47  
% 1.84/1.47  % (29066)Memory used [KB]: 22999
% 1.84/1.47  % (29066)Time elapsed: 0.036 s
% 1.84/1.47  % (29066)Instructions burned: 56 (million)
% 1.84/1.47  % (29066)------------------------------
% 1.84/1.47  % (29066)------------------------------
% 1.84/1.47  % (29071)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2988ds/87Mi)
% 1.84/1.48  % (29055)Refutation found. Thanks to Tanya!
% 1.84/1.48  % SZS status Theorem for Vampire---4
% 1.84/1.48  % SZS output start Proof for Vampire---4
% See solution above
% 1.84/1.48  % (29055)------------------------------
% 1.84/1.48  % (29055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.84/1.48  % (29055)Termination reason: Refutation
% 1.84/1.48  
% 1.84/1.48  % (29055)Memory used [KB]: 24423
% 1.84/1.48  % (29055)Time elapsed: 0.111 s
% 1.84/1.48  % (29055)Instructions burned: 206 (million)
% 1.84/1.48  % (29043)Success in time 1.11 s
% 1.84/1.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------