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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : RNG119+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:36:07 PM UTC 2026

% Result   : Theorem 11.32s 2.09s
% Output   : Refutation 11.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   97 (  21 unt;   2 def)
%            Number of atoms       :  275 (  44 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  314 ( 136   ~; 122   |;  29   &)
%                                         (  12 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   95 (   0 sgn  90   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aElement0(X0)
        & aElement0(X1) )
     => aElement0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( aElement0(X0)
        & aElement0(X1) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(f16,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtasdt0(X0,sz00) = sz00
        & sz00 = sdtasdt0(sz00,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( aSet0(X0)
        & ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ( aElement0(X0)
        & aElement0(X1) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( aElement0(X2)
            & sdtasdt0(X0,X2) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).

fof(f37,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ! [X1] :
          ( X1 = slsdtgt0(X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ? [X3] :
                    ( aElement0(X3)
                    & sdtasdt0(X0,X3) = X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).

fof(f38,axiom,
    ! [X0] :
      ( aElement0(X0)
     => aIdeal0(slsdtgt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrIdeal) ).

fof(f42,axiom,
    ( aIdeal0(xI)
    & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

fof(f45,axiom,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          & X0 != sz00 )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

fof(f49,axiom,
    ~ doDivides0(xu,xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).

fof(f50,axiom,
    ( aElement0(xq)
    & aElement0(xr)
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & ( xr = sz00
      | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

fof(f51,conjecture,
    xr != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f52,negated_conjecture,
    ~ ( xr != sz00 ),
    inference(negated_conjecture,[status(cth)],[f51]) ).

fof(f54,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( aSet0(X0)
        & ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) )
              & ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
    inference(rectify,[],[f24]) ).

fof(f56,plain,
    sz00 = xr,
    inference(flattening,[],[f52]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(flattening,[],[f61]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(flattening,[],[f69]) ).

fof(f77,plain,
    ! [X0] :
      ( ( sdtasdt0(X0,sz00) = sz00
        & sz00 = sdtasdt0(sz00,X0) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f88,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( aSet0(X0)
        & ! [X1] :
            ( ( ! [X2] :
                  ( aElementOf0(sdtpldt0(X1,X2),X0)
                  | ~ aElementOf0(X2,X0) )
              & ! [X3] :
                  ( aElementOf0(sdtasdt0(X3,X1),X0)
                  | ~ aElement0(X3) ) )
            | ~ aElementOf0(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( aElement0(X2)
            & sdtasdt0(X0,X2) = X1 ) )
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( aElement0(X2)
            & sdtasdt0(X0,X2) = X1 ) )
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(flattening,[],[f104]) ).

fof(f111,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = slsdtgt0(X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ? [X3] :
                    ( aElement0(X3)
                    & sdtasdt0(X0,X3) = X2 ) ) ) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f112,plain,
    ! [X0] :
      ( aIdeal0(slsdtgt0(X0))
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f113,plain,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | ~ aElementOf0(X0,xI)
        | sz00 = X0 ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f114,plain,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | ~ aElementOf0(X0,xI)
        | sz00 = X0 ) ),
    inference(flattening,[],[f113]) ).

fof(f116,plain,
    aElement0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sz00 = sdtasdt0(X0,sz00) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( aElement0(X1)
      | ~ aElementOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( aElementOf0(sdtpldt0(X1,X2),X0)
      | ~ aElementOf0(X2,X0)
      | ~ aElementOf0(X1,X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | sdtasdt0(X0,X2) != X1
      | ~ aElement0(X2)
      | doDivides0(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | sdtasdt0(X0,sK19(X0,X2)) = X2
      | ~ aElementOf0(X2,X1)
      | slsdtgt0(X0) != X1 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X0)
      | aElement0(sK19(X0,X2))
      | ~ aElementOf0(X2,X1)
      | slsdtgt0(X0) != X1 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f199,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aElement0(X0)
      | sdtasdt0(X0,X3) != X2
      | ~ aElement0(X3)
      | aElementOf0(X2,X1)
      | slsdtgt0(X0) != X1 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f204,plain,
    ! [X0] :
      ( aIdeal0(slsdtgt0(X0))
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f210,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f42]) ).

fof(f219,plain,
    aElementOf0(xu,xI),
    inference(cnf_transformation,[],[f114]) ).

fof(f225,plain,
    ~ doDivides0(xu,xb),
    inference(cnf_transformation,[],[f49]) ).

fof(f227,plain,
    xb = sdtpldt0(sdtasdt0(xq,xu),xr),
    inference(cnf_transformation,[],[f50]) ).

fof(f229,plain,
    aElement0(xq),
    inference(cnf_transformation,[],[f50]) ).

fof(f230,plain,
    sz00 = xr,
    inference(cnf_transformation,[],[f56]) ).

fof(f231,plain,
    aElement0(xr),
    inference(definition_unfolding,[],[f116,f230]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | xr = sdtasdt0(X0,xr) ),
    inference(definition_unfolding,[],[f136,f230,f230]) ).

fof(f262,plain,
    ! [X2,X0] :
      ( ~ aElement0(sdtasdt0(X0,X2))
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | doDivides0(X0,sdtasdt0(X0,X2)) ),
    inference(equality_resolution,[],[f185]) ).

fof(f264,plain,
    ! [X3,X0,X1] :
      ( ~ aElement0(X0)
      | ~ aElement0(X3)
      | aElementOf0(sdtasdt0(X0,X3),X1)
      | slsdtgt0(X0) != X1 ),
    inference(equality_resolution,[],[f199]) ).

fof(f265,plain,
    ! [X3,X0] :
      ( aElementOf0(sdtasdt0(X0,X3),slsdtgt0(X0))
      | ~ aElement0(X3)
      | ~ aElement0(X0) ),
    inference(equality_resolution,[],[f264]) ).

fof(f266,plain,
    ! [X2,X0] :
      ( aElement0(sK19(X0,X2))
      | ~ aElement0(X0)
      | ~ aElementOf0(X2,slsdtgt0(X0)) ),
    inference(equality_resolution,[],[f198]) ).

fof(f267,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(X2,slsdtgt0(X0))
      | sdtasdt0(X0,sK19(X0,X2)) = X2
      | ~ aElement0(X0) ),
    inference(equality_resolution,[],[f197]) ).

fof(f419,plain,
    aSet0(xI),
    inference(resolution,[],[f167,f210]) ).

fof(f715,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | sdtasdt0(X0,xq) = sdtasdt0(xq,X0) ),
    inference(resolution,[],[f127,f229]) ).

fof(f835,plain,
    ! [X0] :
      ( aElementOf0(xb,X0)
      | ~ aElementOf0(xr,X0)
      | ~ aElementOf0(sdtasdt0(xq,xu),X0)
      | ~ aIdeal0(X0) ),
    inference(superposition,[],[f160,f227]) ).

fof(f873,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X0) ),
    inference(forward_subsumption_resolution,[],[f262,f120]) ).

fof(f2448,definition,
    ( spl23_8
  <=> aSet0(xI) ),
    introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).

fof(f2449,plain,
    ( aSet0(xI)
    | ~ spl23_8 ),
    inference(avatar_component_clause,[],[f2448]) ).

fof(f2450,plain,
    ( ~ aSet0(xI)
    | spl23_8 ),
    inference(avatar_component_clause,[],[f2448]) ).

fof(f3331,definition,
    ( spl23_14
  <=> aElement0(xu) ),
    introduced(definition,[new_symbols(definition,[spl23_14])],[avatar_definition]) ).

fof(f3332,plain,
    ( aElement0(xu)
    | ~ spl23_14 ),
    inference(avatar_component_clause,[],[f3331]) ).

fof(f3333,plain,
    ( ~ aElement0(xu)
    | spl23_14 ),
    inference(avatar_component_clause,[],[f3331]) ).

fof(f3336,plain,
    ( ! [X0] :
        ( ~ aElementOf0(xu,X0)
        | ~ aSet0(X0) )
    | spl23_14 ),
    inference(resolution,[],[f3333,f139]) ).

fof(f3450,plain,
    ( ~ aSet0(xI)
    | spl23_14 ),
    inference(resolution,[],[f3336,f219]) ).

fof(f7909,plain,
    ( $false
    | spl23_8 ),
    inference(forward_subsumption_resolution,[],[f419,f2450]) ).

fof(f7910,plain,
    spl23_8,
    inference(avatar_contradiction_clause,[],[f7909]) ).

fof(f7911,plain,
    ( $false
    | ~ spl23_8
    | spl23_14 ),
    inference(forward_subsumption_resolution,[],[f3450,f2449]) ).

fof(f7912,plain,
    ( ~ spl23_8
    | spl23_14 ),
    inference(avatar_contradiction_clause,[],[f7911]) ).

fof(f7943,plain,
    ( xr = sdtasdt0(xu,xr)
    | ~ spl23_14 ),
    inference(resolution,[],[f3332,f236]) ).

fof(f8519,plain,
    ( aElementOf0(xr,slsdtgt0(xu))
    | ~ aElement0(xr)
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(superposition,[],[f265,f7943]) ).

fof(f8521,plain,
    ( aElementOf0(xr,slsdtgt0(xu))
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f8519,f231]) ).

fof(f8523,plain,
    ( aElementOf0(xr,slsdtgt0(xu))
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f8521,f3332]) ).

fof(f18781,plain,
    ( sdtasdt0(xq,xu) = sdtasdt0(xu,xq)
    | ~ spl23_14 ),
    inference(resolution,[],[f715,f3332]) ).

fof(f20106,plain,
    ( ! [X0] :
        ( ~ aElementOf0(sdtasdt0(xu,xq),X0)
        | aElementOf0(xb,X0)
        | ~ aElementOf0(xr,X0)
        | ~ aIdeal0(X0) )
    | ~ spl23_14 ),
    inference(forward_demodulation,[],[f835,f18781]) ).

fof(f20127,plain,
    ( aElementOf0(xb,slsdtgt0(xu))
    | ~ aElementOf0(xr,slsdtgt0(xu))
    | ~ aIdeal0(slsdtgt0(xu))
    | ~ aElement0(xq)
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(resolution,[],[f20106,f265]) ).

fof(f20131,plain,
    ( aElementOf0(xb,slsdtgt0(xu))
    | ~ aIdeal0(slsdtgt0(xu))
    | ~ aElement0(xq)
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20127,f8523]) ).

fof(f20133,plain,
    ( aElementOf0(xb,slsdtgt0(xu))
    | ~ aElement0(xq)
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20131,f204]) ).

fof(f20134,plain,
    ( aElementOf0(xb,slsdtgt0(xu))
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20133,f229]) ).

fof(f20135,plain,
    ( aElementOf0(xb,slsdtgt0(xu))
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20134,f3332]) ).

fof(f20136,plain,
    ( xb = sdtasdt0(xu,sK19(xu,xb))
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(resolution,[],[f20135,f267]) ).

fof(f20165,plain,
    ( xb = sdtasdt0(xu,sK19(xu,xb))
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20136,f3332]) ).

fof(f20534,plain,
    ( doDivides0(xu,xb)
    | ~ aElement0(sK19(xu,xb))
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(superposition,[],[f873,f20165]) ).

fof(f20541,plain,
    ( ~ aElement0(sK19(xu,xb))
    | ~ aElement0(xu)
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20534,f225]) ).

fof(f20544,plain,
    ( ~ aElement0(sK19(xu,xb))
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20541,f3332]) ).

fof(f20627,plain,
    ( ~ aElement0(xu)
    | ~ aElementOf0(xb,slsdtgt0(xu))
    | ~ spl23_14 ),
    inference(resolution,[],[f20544,f266]) ).

fof(f20630,plain,
    ( ~ aElementOf0(xb,slsdtgt0(xu))
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20627,f3332]) ).

fof(f20631,plain,
    ( $false
    | ~ spl23_14 ),
    inference(forward_subsumption_resolution,[],[f20630,f20135]) ).

fof(f20632,plain,
    ~ spl23_14,
    inference(avatar_contradiction_clause,[],[f20631]) ).

cnf(s24,plain,
    spl23_8,
    inference(sat_conversion,[],[f7910]) ).

cnf(s25,plain,
    ( ~ spl23_8
    | spl23_14 ),
    inference(sat_conversion,[],[f7912]) ).

cnf(s32,plain,
    ~ spl23_14,
    inference(sat_conversion,[],[f20632]) ).

cnf(s33,plain,
    ~ spl23_8,
    inference(rat,[],[s25,s32]) ).

cnf(s34,plain,
    $false,
    inference(rat,[],[s24,s33]) ).

fof(f20633,plain,
    $false,
    inference(avatar_sat_refutation,[],[s34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG119+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n002.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 23:24:07 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.32/2.09  % (4003609)Will run a generic schedule for satisfiability detection.
% 11.32/2.09  % (4003618)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4192965929:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.32/2.09  % (4003615)% WARNING: option uhcvi not known.
% 11.32/2.09  % (4003614)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2878818711_2999 on theBenchmark for (2999ds/0Mi)
% 11.32/2.09  % (4003615)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1995233571:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.32/2.09  % (4003619)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1536940775:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.32/2.09  % (4003616)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4006514993:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.32/2.09  % (4003617)dis+10_1_sil=32000:sp=arity:random_seed=1400277040:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.32/2.09  % (4003620)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3495657257:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.32/2.09  % TRYING [1]
% 11.32/2.09  % TRYING [2]
% 11.32/2.09  % TRYING [3]
% 11.32/2.09  % (4003618)Instruction limit reached! 
% 11.32/2.09  % (4003618)------------------------------
% 11.32/2.09  % (4003618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003618)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003618)Termination reason: Instruction limit
% 11.32/2.09  % (4003618)Termination phase: Saturation
% 11.32/2.09  % (4003618)Time elapsed: 0.039 s
% 11.32/2.09  % (4003618)Peak memory usage: 13 MB
% 11.32/2.09  % (4003618)Instructions burned: 117 (million)
% 11.32/2.09  % TRYING [4]
% 11.32/2.09  % (4003628)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2123425480:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 11.32/2.09  % TRYING [1]
% 11.32/2.09  % TRYING [2]
% 11.32/2.09  % TRYING [3]
% 11.32/2.09  % TRYING [4]
% 11.32/2.09  % (4003617)Instruction limit reached! 
% 11.32/2.09  % (4003617)------------------------------
% 11.32/2.09  % (4003617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003617)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003617)Termination reason: Instruction limit
% 11.32/2.09  % (4003617)Termination phase: Saturation
% 11.32/2.09  % (4003617)Time elapsed: 0.066 s
% 11.32/2.09  % (4003617)Peak memory usage: 13 MB
% 11.32/2.09  % (4003617)Instructions burned: 109 (million)
% 11.32/2.09  % (4003619)Instruction limit reached! 
% 11.32/2.09  % (4003619)------------------------------
% 11.32/2.09  % (4003619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003619)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003619)Termination reason: Instruction limit
% 11.32/2.09  % (4003619)Termination phase: Saturation
% 11.32/2.09  % (4003619)Time elapsed: 0.073 s
% 11.32/2.09  % (4003619)Peak memory usage: 13 MB
% 11.32/2.09  % (4003619)Instructions burned: 131 (million)
% 11.32/2.09  % (4003630)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1000386541:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.32/2.09  % (4003631)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3303159077:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.32/2.09  % (4003620)Instruction limit reached! 
% 11.32/2.09  % (4003620)------------------------------
% 11.32/2.09  % (4003620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003620)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003620)Termination reason: Instruction limit
% 11.32/2.09  % (4003620)Termination phase: Saturation
% 11.32/2.09  % (4003620)Time elapsed: 0.092 s
% 11.32/2.09  % (4003620)Peak memory usage: 14 MB
% 11.32/2.09  % (4003620)Instructions burned: 159 (million)
% 11.32/2.09  % TRYING [5]
% 11.32/2.09  % TRYING [5]
% 11.32/2.09  % (4003634)ott-21_1_sil=16000:fs=off:random_seed=1965563703:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.32/2.09  % (4003630)Instruction limit reached! 
% 11.32/2.09  % (4003630)------------------------------
% 11.32/2.09  % (4003630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003630)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003630)Termination reason: Instruction limit
% 11.32/2.09  % (4003630)Termination phase: Saturation
% 11.32/2.09  % (4003630)Time elapsed: 0.075 s
% 11.32/2.09  % (4003630)Peak memory usage: 13 MB
% 11.32/2.09  % (4003630)Instructions burned: 132 (million)
% 11.32/2.09  % (4003636)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=723698605:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.32/2.09  % (4003634)Instruction limit reached! 
% 11.32/2.09  % (4003634)------------------------------
% 11.32/2.09  % (4003634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003634)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003634)Termination reason: Instruction limit
% 11.32/2.09  % (4003634)Termination phase: Saturation
% 11.32/2.09  % (4003634)Time elapsed: 0.091 s
% 11.32/2.09  % (4003634)Peak memory usage: 13 MB
% 11.32/2.09  % (4003634)Instructions burned: 181 (million)
% 11.32/2.09  % (4003628)Instruction limit reached! 
% 11.32/2.09  % (4003628)------------------------------
% 11.32/2.09  % (4003628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003628)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003628)Termination reason: Instruction limit
% 11.32/2.09  % (4003628)Termination phase: Finite model building SAT solving
% 11.32/2.09  % (4003628)Time elapsed: 0.172 s
% 11.32/2.09  % (4003628)Peak memory usage: 33 MB
% 11.32/2.09  % (4003628)Instructions burned: 715 (million)
% 11.32/2.09  % (4003638)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3664209849:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.32/2.09  % (4003639)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3497625691:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.32/2.09  % TRYING [1]
% 11.32/2.09  % TRYING [2]
% 11.32/2.09  % TRYING [3]
% 11.32/2.09  % TRYING [4]
% 11.32/2.09  % TRYING [6]
% 11.32/2.09  % (4003631)Instruction limit reached! 
% 11.32/2.09  % (4003631)------------------------------
% 11.32/2.09  % (4003631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003631)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003631)Termination reason: Instruction limit
% 11.32/2.09  % (4003631)Termination phase: Saturation
% 11.32/2.09  % (4003631)Time elapsed: 0.312 s
% 11.32/2.09  % (4003631)Peak memory usage: 16 MB
% 11.32/2.09  % (4003631)Instructions burned: 686 (million)
% 11.32/2.09  % (4003642)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1032819430:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.32/2.09  % (4003636)Instruction limit reached! 
% 11.32/2.09  % (4003636)------------------------------
% 11.32/2.09  % (4003636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003636)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003636)Termination reason: Instruction limit
% 11.32/2.09  % (4003636)Termination phase: Saturation
% 11.32/2.09  % (4003636)Time elapsed: 0.315 s
% 11.32/2.09  % (4003636)Peak memory usage: 14 MB
% 11.32/2.09  % (4003636)Instructions burned: 478 (million)
% 11.32/2.09  % (4003644)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=83425007:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 11.32/2.09  % TRYING [5]
% 11.32/2.09  % (4003639)Instruction limit reached! 
% 11.32/2.09  % (4003639)------------------------------
% 11.32/2.09  % (4003639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003639)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003639)Termination reason: Instruction limit
% 11.32/2.09  % (4003639)Termination phase: Saturation
% 11.32/2.09  % (4003639)Time elapsed: 0.318 s
% 11.32/2.09  % (4003639)Peak memory usage: 23 MB
% 11.32/2.09  % (4003639)Instructions burned: 1182 (million)
% 11.32/2.09  % (4003646)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3696291633:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.32/2.09  % (4003638)Instruction limit reached! 
% 11.32/2.09  % (4003638)------------------------------
% 11.32/2.09  % (4003638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003638)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003638)Termination reason: Instruction limit
% 11.32/2.09  % (4003638)Termination phase: Finite model building constraint generation
% 11.32/2.09  % (4003638)Time elapsed: 0.337 s
% 11.32/2.09  % (4003638)Peak memory usage: 22 MB
% 11.32/2.09  % (4003638)Instructions burned: 865 (million)
% 11.32/2.09  % (4003648)fmb+10_1_sil=64000:random_seed=2024184388:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 11.32/2.09  % TRYING [1]
% 11.32/2.09  % TRYING [2]
% 11.32/2.09  % TRYING [3]
% 11.32/2.09  % TRYING [4]
% 11.32/2.09  % TRYING [5]
% 11.32/2.09  % (4003646)Instruction limit reached! 
% 11.32/2.09  % (4003646)------------------------------
% 11.32/2.09  % (4003646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003646)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003646)Termination reason: Instruction limit
% 11.32/2.09  % (4003646)Termination phase: Saturation
% 11.32/2.09  % (4003646)Time elapsed: 0.270 s
% 11.32/2.09  % (4003646)Peak memory usage: 20 MB
% 11.32/2.09  % (4003646)Instructions burned: 880 (million)
% 11.32/2.09  % (4003650)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4243943589:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 11.32/2.09  % (4003642)Instruction limit reached! 
% 11.32/2.09  % (4003642)------------------------------
% 11.32/2.09  % (4003642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003642)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003642)Termination reason: Instruction limit
% 11.32/2.09  % (4003642)Termination phase: Finite model building constraint generation
% 11.32/2.09  % (4003642)Time elapsed: 0.420 s
% 11.32/2.09  % (4003642)Peak memory usage: 107 MB
% 11.32/2.09  % (4003642)Instructions burned: 890 (million)
% 11.32/2.09  % TRYING [20]
% 11.32/2.09  % (4003652)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=584328166:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 11.32/2.09  % TRYING [8]
% 11.32/2.09  % (4003644)Instruction limit reached! 
% 11.32/2.09  % (4003644)------------------------------
% 11.32/2.09  % (4003644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003644)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003644)Termination reason: Instruction limit
% 11.32/2.09  % (4003644)Termination phase: Saturation
% 11.32/2.09  % (4003644)Time elapsed: 0.395 s
% 11.32/2.09  % (4003644)Peak memory usage: 25 MB
% 11.32/2.09  % (4003644)Instructions burned: 692 (million)
% 11.32/2.09  % (4003654)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=535061744:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 11.32/2.09  % TRYING [6]
% 11.32/2.09  % (4003652)Instruction limit reached! 
% 11.32/2.09  % (4003652)------------------------------
% 11.32/2.09  % (4003652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003652)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003652)Termination reason: Instruction limit
% 11.32/2.09  % (4003652)Termination phase: Finite model building constraint generation
% 11.32/2.09  % (4003652)Time elapsed: 0.307 s
% 11.32/2.09  % (4003652)Peak memory usage: 57 MB
% 11.32/2.09  % (4003652)Instructions burned: 923 (million)
% 11.32/2.09  % (4003656)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2869697383:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 11.32/2.09  % (4003654) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4003609-4003654"...
% 11.32/2.09  % (4003654)...printing done.
% 11.32/2.09  % (4003654)Refutation found. Thanks to Tanya!
% 11.32/2.09  % SZS status Theorem for theBenchmark
% 11.32/2.09  % SZS output start Proof for theBenchmark
% See solution above
% 11.32/2.09  % (4003654)------------------------------
% 11.32/2.09  % (4003654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.32/2.09  % (4003654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.09  % (4003654)CaDiCaL version: 2.1.3
% 11.32/2.09  % (4003654)Termination reason: Refutation
% 11.32/2.09  % (4003654)Time elapsed: 0.641 s
% 11.32/2.09  % (4003654)Peak memory usage: 20 MB
% 11.32/2.09  % (4003654)Instructions burned: 1224 (million)
% 11.32/2.09  % (4003609)Success in time 1.658 s
% 11.32/2.09  % Vampire exiting
%------------------------------------------------------------------------------