TSTP Solution File: COM017+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n032.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 Aug 30 18:46:13 EDT 2023

% Result   : Theorem 0.18s 0.39s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   70 (  10 unt;   0 def)
%            Number of atoms       :  302 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  394 ( 162   ~; 158   |;  62   &)
%                                         (   8 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   4 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   86 (;  68   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f582,plain,
    $false,
    inference(avatar_sat_refutation,[],[f473,f562,f573,f580]) ).

fof(f580,plain,
    ( ~ spl18_13
    | spl18_20 ),
    inference(avatar_contradiction_clause,[],[f579]) ).

fof(f579,plain,
    ( $false
    | ~ spl18_13
    | spl18_20 ),
    inference(subsumption_resolution,[],[f578,f93]) ).

fof(f93,plain,
    aElement0(xv),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ( sdtmndtasgtdt0(xv,xR,xc)
    & aReductOfIn0(xv,xa,xR)
    & aElement0(xv) ),
    file('/export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202',m__779) ).

fof(f578,plain,
    ( ~ aElement0(xv)
    | ~ spl18_13
    | spl18_20 ),
    inference(subsumption_resolution,[],[f575,f561]) ).

fof(f561,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,sK12(xR,xv,xu))
    | spl18_20 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl18_20
  <=> sdtmndtasgtdt0(xu,xR,sK12(xR,xv,xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).

fof(f575,plain,
    ( sdtmndtasgtdt0(xu,xR,sK12(xR,xv,xu))
    | ~ aElement0(xv)
    | ~ spl18_13 ),
    inference(resolution,[],[f553,f94]) ).

fof(f94,plain,
    aReductOfIn0(xv,xa,xR),
    inference(cnf_transformation,[],[f21]) ).

fof(f553,plain,
    ( ! [X1] :
        ( ~ aReductOfIn0(X1,xa,xR)
        | sdtmndtasgtdt0(xu,xR,sK12(xR,X1,xu))
        | ~ aElement0(X1) )
    | ~ spl18_13 ),
    inference(subsumption_resolution,[],[f440,f460]) ).

fof(f460,plain,
    ( sP2(xR)
    | ~ spl18_13 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl18_13
  <=> sP2(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).

fof(f440,plain,
    ! [X1] :
      ( sdtmndtasgtdt0(xu,xR,sK12(xR,X1,xu))
      | ~ aReductOfIn0(X1,xa,xR)
      | ~ aElement0(X1)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f439,f99]) ).

fof(f99,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( aElement0(xc)
    & aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202',m__731) ).

fof(f439,plain,
    ! [X1] :
      ( sdtmndtasgtdt0(xu,xR,sK12(xR,X1,xu))
      | ~ aReductOfIn0(X1,xa,xR)
      | ~ aElement0(X1)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f435,f96]) ).

fof(f96,plain,
    aElement0(xu),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    ( sdtmndtasgtdt0(xu,xR,xb)
    & aReductOfIn0(xu,xa,xR)
    & aElement0(xu) ),
    file('/export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202',m__755) ).

fof(f435,plain,
    ! [X1] :
      ( sdtmndtasgtdt0(xu,xR,sK12(xR,X1,xu))
      | ~ aReductOfIn0(X1,xa,xR)
      | ~ aElement0(xu)
      | ~ aElement0(X1)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f123,f97]) ).

fof(f97,plain,
    aReductOfIn0(xu,xa,xR),
    inference(cnf_transformation,[],[f20]) ).

fof(f123,plain,
    ! [X0,X6,X7,X5] :
      ( ~ aReductOfIn0(X7,X5,X0)
      | sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
      | ~ aReductOfIn0(X6,X5,X0)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ( ! [X4] :
              ( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
              | ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
              | ~ aElement0(X4) )
          & aReductOfIn0(sK11(X0),sK9(X0),X0)
          & aReductOfIn0(sK10(X0),sK9(X0),X0)
          & aElement0(sK11(X0))
          & aElement0(sK10(X0))
          & aElement0(sK9(X0)) ) )
      & ( ! [X5,X6,X7] :
            ( ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
              & sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
              & aElement0(sK12(X0,X6,X7)) )
            | ~ aReductOfIn0(X7,X5,X0)
            | ~ aReductOfIn0(X6,X5,X0)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f67,f69,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ! [X4] :
              ( ~ sdtmndtasgtdt0(X3,X0,X4)
              | ~ sdtmndtasgtdt0(X2,X0,X4)
              | ~ aElement0(X4) )
          & aReductOfIn0(X3,X1,X0)
          & aReductOfIn0(X2,X1,X0)
          & aElement0(X3)
          & aElement0(X2)
          & aElement0(X1) )
     => ( ! [X4] :
            ( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
            | ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
            | ~ aElement0(X4) )
        & aReductOfIn0(sK11(X0),sK9(X0),X0)
        & aReductOfIn0(sK10(X0),sK9(X0),X0)
        & aElement0(sK11(X0))
        & aElement0(sK10(X0))
        & aElement0(sK9(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0,X6,X7] :
      ( ? [X8] :
          ( sdtmndtasgtdt0(X7,X0,X8)
          & sdtmndtasgtdt0(X6,X0,X8)
          & aElement0(X8) )
     => ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
        & sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
        & aElement0(sK12(X0,X6,X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & aReductOfIn0(X3,X1,X0)
            & aReductOfIn0(X2,X1,X0)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X5,X6,X7] :
            ( ? [X8] :
                ( sdtmndtasgtdt0(X7,X0,X8)
                & sdtmndtasgtdt0(X6,X0,X8)
                & aElement0(X8) )
            | ~ aReductOfIn0(X7,X5,X0)
            | ~ aReductOfIn0(X6,X5,X0)
            | ~ aElement0(X7)
            | ~ aElement0(X6)
            | ~ aElement0(X5) )
        | ~ sP2(X0) ) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ? [X1,X2,X3] :
            ( ! [X4] :
                ( ~ sdtmndtasgtdt0(X3,X0,X4)
                | ~ sdtmndtasgtdt0(X2,X0,X4)
                | ~ aElement0(X4) )
            & aReductOfIn0(X3,X1,X0)
            & aReductOfIn0(X2,X1,X0)
            & aElement0(X3)
            & aElement0(X2)
            & aElement0(X1) ) )
      & ( ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ aReductOfIn0(X3,X1,X0)
            | ~ aReductOfIn0(X2,X1,X0)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) )
        | ~ sP2(X0) ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( sP2(X0)
    <=> ! [X1,X2,X3] :
          ( ? [X4] :
              ( sdtmndtasgtdt0(X3,X0,X4)
              & sdtmndtasgtdt0(X2,X0,X4)
              & aElement0(X4) )
          | ~ aReductOfIn0(X3,X1,X0)
          | ~ aReductOfIn0(X2,X1,X0)
          | ~ aElement0(X3)
          | ~ aElement0(X2)
          | ~ aElement0(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f573,plain,
    ( ~ spl18_13
    | spl18_19 ),
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f572,plain,
    ( $false
    | ~ spl18_13
    | spl18_19 ),
    inference(subsumption_resolution,[],[f571,f99]) ).

fof(f571,plain,
    ( ~ aElement0(xa)
    | ~ spl18_13
    | spl18_19 ),
    inference(subsumption_resolution,[],[f570,f97]) ).

fof(f570,plain,
    ( ~ aReductOfIn0(xu,xa,xR)
    | ~ aElement0(xa)
    | ~ spl18_13
    | spl18_19 ),
    inference(resolution,[],[f568,f94]) ).

fof(f568,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xv,X0,xR)
        | ~ aReductOfIn0(xu,X0,xR)
        | ~ aElement0(X0) )
    | ~ spl18_13
    | spl18_19 ),
    inference(subsumption_resolution,[],[f567,f460]) ).

fof(f567,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(X0)
        | ~ sP2(xR) )
    | spl18_19 ),
    inference(subsumption_resolution,[],[f566,f93]) ).

fof(f566,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ sP2(xR) )
    | spl18_19 ),
    inference(subsumption_resolution,[],[f563,f96]) ).

fof(f563,plain,
    ( ! [X0] :
        ( ~ aReductOfIn0(xu,X0,xR)
        | ~ aReductOfIn0(xv,X0,xR)
        | ~ aElement0(xu)
        | ~ aElement0(xv)
        | ~ aElement0(X0)
        | ~ sP2(xR) )
    | spl18_19 ),
    inference(resolution,[],[f557,f121]) ).

fof(f121,plain,
    ! [X0,X6,X7,X5] :
      ( aElement0(sK12(X0,X6,X7))
      | ~ aReductOfIn0(X7,X5,X0)
      | ~ aReductOfIn0(X6,X5,X0)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f557,plain,
    ( ~ aElement0(sK12(xR,xv,xu))
    | spl18_19 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl18_19
  <=> aElement0(sK12(xR,xv,xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).

fof(f562,plain,
    ( ~ spl18_19
    | ~ spl18_20
    | ~ spl18_13 ),
    inference(avatar_split_clause,[],[f519,f459,f559,f555]) ).

fof(f519,plain,
    ( ~ sdtmndtasgtdt0(xu,xR,sK12(xR,xv,xu))
    | ~ aElement0(sK12(xR,xv,xu))
    | ~ spl18_13 ),
    inference(resolution,[],[f516,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(xv,xR,X0)
      | ~ sdtmndtasgtdt0(xu,xR,X0)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ? [X0] :
        ( sdtmndtasgtdt0(xv,xR,X0)
        & sdtmndtasgtdt0(xu,xR,X0)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ? [X0] :
      ( sdtmndtasgtdt0(xv,xR,X0)
      & sdtmndtasgtdt0(xu,xR,X0)
      & aElement0(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202',m__) ).

fof(f516,plain,
    ( sdtmndtasgtdt0(xv,xR,sK12(xR,xv,xu))
    | ~ spl18_13 ),
    inference(subsumption_resolution,[],[f513,f93]) ).

fof(f513,plain,
    ( sdtmndtasgtdt0(xv,xR,sK12(xR,xv,xu))
    | ~ aElement0(xv)
    | ~ spl18_13 ),
    inference(resolution,[],[f494,f94]) ).

fof(f494,plain,
    ( ! [X1] :
        ( ~ aReductOfIn0(X1,xa,xR)
        | sdtmndtasgtdt0(X1,xR,sK12(xR,X1,xu))
        | ~ aElement0(X1) )
    | ~ spl18_13 ),
    inference(subsumption_resolution,[],[f406,f460]) ).

fof(f406,plain,
    ! [X1] :
      ( sdtmndtasgtdt0(X1,xR,sK12(xR,X1,xu))
      | ~ aReductOfIn0(X1,xa,xR)
      | ~ aElement0(X1)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f405,f99]) ).

fof(f405,plain,
    ! [X1] :
      ( sdtmndtasgtdt0(X1,xR,sK12(xR,X1,xu))
      | ~ aReductOfIn0(X1,xa,xR)
      | ~ aElement0(X1)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(subsumption_resolution,[],[f401,f96]) ).

fof(f401,plain,
    ! [X1] :
      ( sdtmndtasgtdt0(X1,xR,sK12(xR,X1,xu))
      | ~ aReductOfIn0(X1,xa,xR)
      | ~ aElement0(xu)
      | ~ aElement0(X1)
      | ~ aElement0(xa)
      | ~ sP2(xR) ),
    inference(resolution,[],[f122,f97]) ).

fof(f122,plain,
    ! [X0,X6,X7,X5] :
      ( ~ aReductOfIn0(X7,X5,X0)
      | sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
      | ~ aReductOfIn0(X6,X5,X0)
      | ~ aElement0(X7)
      | ~ aElement0(X6)
      | ~ aElement0(X5)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f473,plain,
    spl18_13,
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | spl18_13 ),
    inference(subsumption_resolution,[],[f471,f90]) ).

fof(f90,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202',m__656) ).

fof(f471,plain,
    ( ~ aRewritingSystem0(xR)
    | spl18_13 ),
    inference(resolution,[],[f470,f130]) ).

fof(f130,plain,
    ! [X0] :
      ( sP3(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( sP3(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(definition_folding,[],[f34,f55,f54]) ).

fof(f55,plain,
    ! [X0] :
      ( ( isLocallyConfluent0(X0)
      <=> sP2(X0) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f34,plain,
    ! [X0] :
      ( ( isLocallyConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ aReductOfIn0(X3,X1,X0)
            | ~ aReductOfIn0(X2,X1,X0)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ( isLocallyConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) )
            | ~ aReductOfIn0(X3,X1,X0)
            | ~ aReductOfIn0(X2,X1,X0)
            | ~ aElement0(X3)
            | ~ aElement0(X2)
            | ~ aElement0(X1) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( isLocallyConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ( aReductOfIn0(X3,X1,X0)
              & aReductOfIn0(X2,X1,X0)
              & aElement0(X3)
              & aElement0(X2)
              & aElement0(X1) )
           => ? [X4] :
                ( sdtmndtasgtdt0(X3,X0,X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & aElement0(X4) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202',mWCRDef) ).

fof(f470,plain,
    ( ~ sP3(xR)
    | spl18_13 ),
    inference(subsumption_resolution,[],[f469,f91]) ).

fof(f91,plain,
    isLocallyConfluent0(xR),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( isTerminating0(xR)
    & isLocallyConfluent0(xR) ),
    file('/export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202',m__656_01) ).

fof(f469,plain,
    ( ~ isLocallyConfluent0(xR)
    | ~ sP3(xR)
    | spl18_13 ),
    inference(resolution,[],[f461,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( sP2(X0)
      | ~ isLocallyConfluent0(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( ( isLocallyConfluent0(X0)
          | ~ sP2(X0) )
        & ( sP2(X0)
          | ~ isLocallyConfluent0(X0) ) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f461,plain,
    ( ~ sP2(xR)
    | spl18_13 ),
    inference(avatar_component_clause,[],[f459]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 29 13:07:01 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202
% 0.12/0.33  % (12309)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.37  % (12311)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.18/0.37  % (12310)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.18/0.37  % (12313)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.18/0.38  % (12312)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.18/0.38  % (12314)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.18/0.38  % (12315)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.18/0.38  % (12316)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.18/0.39  % (12315)First to succeed.
% 0.18/0.39  % (12315)Refutation found. Thanks to Tanya!
% 0.18/0.39  % SZS status Theorem for Vampire---4
% 0.18/0.39  % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.39  % (12315)------------------------------
% 0.18/0.39  % (12315)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.39  % (12315)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.39  % (12315)Termination reason: Refutation
% 0.18/0.39  
% 0.18/0.39  % (12315)Memory used [KB]: 5756
% 0.18/0.39  % (12315)Time elapsed: 0.012 s
% 0.18/0.39  % (12315)------------------------------
% 0.18/0.39  % (12315)------------------------------
% 0.18/0.39  % (12309)Success in time 0.062 s
% 0.18/0.39  12310 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202
% 0.18/0.39  % (12310)------------------------------
% 0.18/0.39  % (12310)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.39  12311 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.cnKcKlipXC/Vampire---4.8_12202
% 0.18/0.39  % (12311)------------------------------
% 0.18/0.39  % (12311)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.39  % (12310)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.39  % (12311)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.39  % (12310)Termination reason: Unknown
% 0.18/0.39  % (12311)Termination reason: Unknown
% 0.18/0.39  % (12310)Termination phase: Saturation
% 0.18/0.39  % (12311)Termination phase: Saturation
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % (12310)Memory used [KB]: 5500
% 0.18/0.39  % (12311)Memory used [KB]: 1023
% 0.18/0.39  % (12310)Time elapsed: 0.022 s
% 0.18/0.39  % (12311)Time elapsed: 0.023 s
% 0.18/0.39  % (12310)------------------------------
% 0.18/0.39  % (12310)------------------------------
% 0.18/0.39  % (12311)------------------------------
% 0.18/0.39  % (12311)------------------------------
% 0.18/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------