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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COM018+4 : 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 : n015.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 09:40:09 AM UTC 2026

% Result   : Theorem 0.20s 0.30s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (  11 unt;   2 def)
%            Number of atoms       :  342 (  23 equ)
%            Maximal formula atoms :   30 (   9 avg)
%            Number of connectives :  413 ( 109   ~; 133   |; 162   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   2 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   93 (   0 sgn  57   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X0] :
      ( ( aRewritingSystem0(X0)
        & isTerminating0(X0) )
     => ! [X1] :
          ( aElement0(X1)
         => ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermNF) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).

fof(f16,axiom,
    ( ! [X0,X1,X2] :
        ( ( aElement0(X0)
          & aElement0(X1)
          & aElement0(X2)
          & aReductOfIn0(X1,X0,xR)
          & aReductOfIn0(X2,X0,xR) )
       => ? [X3] :
            ( aElement0(X3)
            & ( X1 = X3
              | ( ( aReductOfIn0(X3,X1,xR)
                  | ? [X4] :
                      ( aElement0(X4)
                      & aReductOfIn0(X4,X1,xR)
                      & sdtmndtplgtdt0(X4,xR,X3) ) )
                & sdtmndtplgtdt0(X1,xR,X3) ) )
            & sdtmndtasgtdt0(X1,xR,X3)
            & ( X2 = X3
              | ( ( aReductOfIn0(X3,X2,xR)
                  | ? [X4] :
                      ( aElement0(X4)
                      & aReductOfIn0(X4,X2,xR)
                      & sdtmndtplgtdt0(X4,xR,X3) ) )
                & sdtmndtplgtdt0(X2,xR,X3) ) )
            & sdtmndtasgtdt0(X2,xR,X3) ) )
    & isLocallyConfluent0(xR)
    & ! [X0,X1] :
        ( ( aElement0(X0)
          & aElement0(X1) )
       => ( ( aReductOfIn0(X1,X0,xR)
            | ? [X2] :
                ( aElement0(X2)
                & aReductOfIn0(X2,X0,xR)
                & sdtmndtplgtdt0(X2,xR,X1) )
            | sdtmndtplgtdt0(X0,xR,X1) )
         => iLess0(X1,X0) ) )
    & isTerminating0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).

fof(f22,axiom,
    ( aElement0(xw)
    & ( xu = xw
      | ( ( aReductOfIn0(xw,xu,xR)
          | ? [X0] :
              ( aElement0(X0)
              & aReductOfIn0(X0,xu,xR)
              & sdtmndtplgtdt0(X0,xR,xw) ) )
        & sdtmndtplgtdt0(xu,xR,xw) ) )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( xv = xw
      | ( ( aReductOfIn0(xw,xv,xR)
          | ? [X0] :
              ( aElement0(X0)
              & aReductOfIn0(X0,xv,xR)
              & sdtmndtplgtdt0(X0,xR,xw) ) )
        & sdtmndtplgtdt0(xv,xR,xw) ) )
    & sdtmndtasgtdt0(xv,xR,xw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).

fof(f23,conjecture,
    ? [X0] :
      ( ( aElement0(X0)
        & ( xw = X0
          | aReductOfIn0(X0,xw,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xw,xR)
              & sdtmndtplgtdt0(X1,xR,X0) )
          | sdtmndtplgtdt0(xw,xR,X0)
          | sdtmndtasgtdt0(xw,xR,X0) )
        & ~ ? [X1] : aReductOfIn0(X1,X0,xR) )
      | aNormalFormOfIn0(X0,xw,xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f24,negated_conjecture,
    ~ ? [X0] :
        ( ( aElement0(X0)
          & ( xw = X0
            | aReductOfIn0(X0,xw,xR)
            | ? [X1] :
                ( aElement0(X1)
                & aReductOfIn0(X1,xw,xR)
                & sdtmndtplgtdt0(X1,xR,X0) )
            | sdtmndtplgtdt0(xw,xR,X0)
            | sdtmndtasgtdt0(xw,xR,X0) )
          & ~ ? [X1] : aReductOfIn0(X1,X0,xR) )
        | aNormalFormOfIn0(X0,xw,xR) ),
    inference(negated_conjecture,[status(cth)],[f23]) ).

fof(f29,plain,
    ( ! [X0,X1,X2] :
        ( ( aElement0(X0)
          & aElement0(X1)
          & aElement0(X2)
          & aReductOfIn0(X1,X0,xR)
          & aReductOfIn0(X2,X0,xR) )
       => ? [X3] :
            ( aElement0(X3)
            & ( X1 = X3
              | ( ( aReductOfIn0(X3,X1,xR)
                  | ? [X4] :
                      ( aElement0(X4)
                      & aReductOfIn0(X4,X1,xR)
                      & sdtmndtplgtdt0(X4,xR,X3) ) )
                & sdtmndtplgtdt0(X1,xR,X3) ) )
            & sdtmndtasgtdt0(X1,xR,X3)
            & ( X2 = X3
              | ( ( aReductOfIn0(X3,X2,xR)
                  | ? [X5] :
                      ( aElement0(X5)
                      & aReductOfIn0(X5,X2,xR)
                      & sdtmndtplgtdt0(X5,xR,X3) ) )
                & sdtmndtplgtdt0(X2,xR,X3) ) )
            & sdtmndtasgtdt0(X2,xR,X3) ) )
    & isLocallyConfluent0(xR)
    & ! [X6,X7] :
        ( ( aElement0(X6)
          & aElement0(X7) )
       => ( ( aReductOfIn0(X7,X6,xR)
            | ? [X8] :
                ( aElement0(X8)
                & aReductOfIn0(X8,X6,xR)
                & sdtmndtplgtdt0(X8,xR,X7) )
            | sdtmndtplgtdt0(X6,xR,X7) )
         => iLess0(X7,X6) ) )
    & isTerminating0(xR) ),
    inference(rectify,[],[f16]) ).

fof(f32,plain,
    ( aElement0(xw)
    & ( xu = xw
      | ( ( aReductOfIn0(xw,xu,xR)
          | ? [X0] :
              ( aElement0(X0)
              & aReductOfIn0(X0,xu,xR)
              & sdtmndtplgtdt0(X0,xR,xw) ) )
        & sdtmndtplgtdt0(xu,xR,xw) ) )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( xv = xw
      | ( ( aReductOfIn0(xw,xv,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xv,xR)
              & sdtmndtplgtdt0(X1,xR,xw) ) )
        & sdtmndtplgtdt0(xv,xR,xw) ) )
    & sdtmndtasgtdt0(xv,xR,xw) ),
    inference(rectify,[],[f22]) ).

fof(f33,plain,
    ~ ? [X0] :
        ( ( aElement0(X0)
          & ( xw = X0
            | aReductOfIn0(X0,xw,xR)
            | ? [X1] :
                ( aElement0(X1)
                & aReductOfIn0(X1,xw,xR)
                & sdtmndtplgtdt0(X1,xR,X0) )
            | sdtmndtplgtdt0(xw,xR,X0)
            | sdtmndtasgtdt0(xw,xR,X0) )
          & ~ ? [X2] : aReductOfIn0(X2,X0,xR) )
        | aNormalFormOfIn0(X0,xw,xR) ),
    inference(rectify,[],[f24]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f54,plain,
    ( ! [X0,X1,X2] :
        ( ? [X3] :
            ( aElement0(X3)
            & ( X1 = X3
              | ( ( aReductOfIn0(X3,X1,xR)
                  | ? [X4] :
                      ( aElement0(X4)
                      & aReductOfIn0(X4,X1,xR)
                      & sdtmndtplgtdt0(X4,xR,X3) ) )
                & sdtmndtplgtdt0(X1,xR,X3) ) )
            & sdtmndtasgtdt0(X1,xR,X3)
            & ( X2 = X3
              | ( ( aReductOfIn0(X3,X2,xR)
                  | ? [X5] :
                      ( aElement0(X5)
                      & aReductOfIn0(X5,X2,xR)
                      & sdtmndtplgtdt0(X5,xR,X3) ) )
                & sdtmndtplgtdt0(X2,xR,X3) ) )
            & sdtmndtasgtdt0(X2,xR,X3) )
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ aElement0(X2)
        | ~ aReductOfIn0(X1,X0,xR)
        | ~ aReductOfIn0(X2,X0,xR) )
    & isLocallyConfluent0(xR)
    & ! [X6,X7] :
        ( iLess0(X7,X6)
        | ( ~ aReductOfIn0(X7,X6,xR)
          & ! [X8] :
              ( ~ aElement0(X8)
              | ~ aReductOfIn0(X8,X6,xR)
              | ~ sdtmndtplgtdt0(X8,xR,X7) )
          & ~ sdtmndtplgtdt0(X6,xR,X7) )
        | ~ aElement0(X6)
        | ~ aElement0(X7) )
    & isTerminating0(xR) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f55,plain,
    ( ! [X0,X1,X2] :
        ( ? [X3] :
            ( aElement0(X3)
            & ( X1 = X3
              | ( ( aReductOfIn0(X3,X1,xR)
                  | ? [X4] :
                      ( aElement0(X4)
                      & aReductOfIn0(X4,X1,xR)
                      & sdtmndtplgtdt0(X4,xR,X3) ) )
                & sdtmndtplgtdt0(X1,xR,X3) ) )
            & sdtmndtasgtdt0(X1,xR,X3)
            & ( X2 = X3
              | ( ( aReductOfIn0(X3,X2,xR)
                  | ? [X5] :
                      ( aElement0(X5)
                      & aReductOfIn0(X5,X2,xR)
                      & sdtmndtplgtdt0(X5,xR,X3) ) )
                & sdtmndtplgtdt0(X2,xR,X3) ) )
            & sdtmndtasgtdt0(X2,xR,X3) )
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ aElement0(X2)
        | ~ aReductOfIn0(X1,X0,xR)
        | ~ aReductOfIn0(X2,X0,xR) )
    & isLocallyConfluent0(xR)
    & ! [X6,X7] :
        ( iLess0(X7,X6)
        | ( ~ aReductOfIn0(X7,X6,xR)
          & ! [X8] :
              ( ~ aElement0(X8)
              | ~ aReductOfIn0(X8,X6,xR)
              | ~ sdtmndtplgtdt0(X8,xR,X7) )
          & ~ sdtmndtplgtdt0(X6,xR,X7) )
        | ~ aElement0(X6)
        | ~ aElement0(X7) )
    & isTerminating0(xR) ),
    inference(flattening,[],[f54]) ).

fof(f58,plain,
    ! [X0] :
      ( ( ~ aElement0(X0)
        | ( xw != X0
          & ~ aReductOfIn0(X0,xw,xR)
          & ! [X1] :
              ( ~ aElement0(X1)
              | ~ aReductOfIn0(X1,xw,xR)
              | ~ sdtmndtplgtdt0(X1,xR,X0) )
          & ~ sdtmndtplgtdt0(xw,xR,X0)
          & ~ sdtmndtasgtdt0(xw,xR,X0) )
        | ? [X2] : aReductOfIn0(X2,X0,xR) )
      & ~ aNormalFormOfIn0(X0,xw,xR) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f65,definition,
    ! [X3,X2] :
      ( X2 = X3
      | ( ( aReductOfIn0(X3,X2,xR)
          | ? [X5] :
              ( aElement0(X5)
              & aReductOfIn0(X5,X2,xR)
              & sdtmndtplgtdt0(X5,xR,X3) ) )
        & sdtmndtplgtdt0(X2,xR,X3) )
      | ~ sP4(X3,X2) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f66,plain,
    ( ! [X0,X1,X2] :
        ( ? [X3] :
            ( aElement0(X3)
            & ( X1 = X3
              | ( ( aReductOfIn0(X3,X1,xR)
                  | ? [X4] :
                      ( aElement0(X4)
                      & aReductOfIn0(X4,X1,xR)
                      & sdtmndtplgtdt0(X4,xR,X3) ) )
                & sdtmndtplgtdt0(X1,xR,X3) ) )
            & sdtmndtasgtdt0(X1,xR,X3)
            & sP4(X3,X2)
            & sdtmndtasgtdt0(X2,xR,X3) )
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ aElement0(X2)
        | ~ aReductOfIn0(X1,X0,xR)
        | ~ aReductOfIn0(X2,X0,xR) )
    & isLocallyConfluent0(xR)
    & ! [X6,X7] :
        ( iLess0(X7,X6)
        | ( ~ aReductOfIn0(X7,X6,xR)
          & ! [X8] :
              ( ~ aElement0(X8)
              | ~ aReductOfIn0(X8,X6,xR)
              | ~ sdtmndtplgtdt0(X8,xR,X7) )
          & ~ sdtmndtplgtdt0(X6,xR,X7) )
        | ~ aElement0(X6)
        | ~ aElement0(X7) )
    & isTerminating0(xR) ),
    inference(definition_folding,[],[f55,f65]) ).

fof(f92,plain,
    ! [X0] :
      ( ! [X1] :
          ( aNormalFormOfIn0(sK20(X0,X1),X1,X0)
          | ~ aElement0(X1) )
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X2,sK20(X0,X1))],[f53]) ).

fof(f96,plain,
    ( ! [X0,X1,X2] :
        ( ? [X3] :
            ( aElement0(X3)
            & ( X1 = X3
              | ( ( aReductOfIn0(X3,X1,xR)
                  | ? [X4] :
                      ( aElement0(X4)
                      & aReductOfIn0(X4,X1,xR)
                      & sdtmndtplgtdt0(X4,xR,X3) ) )
                & sdtmndtplgtdt0(X1,xR,X3) ) )
            & sdtmndtasgtdt0(X1,xR,X3)
            & sP4(X3,X2)
            & sdtmndtasgtdt0(X2,xR,X3) )
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ aElement0(X2)
        | ~ aReductOfIn0(X1,X0,xR)
        | ~ aReductOfIn0(X2,X0,xR) )
    & isLocallyConfluent0(xR)
    & ! [X5,X6] :
        ( iLess0(X6,X5)
        | ( ~ aReductOfIn0(X6,X5,xR)
          & ! [X7] :
              ( ~ aElement0(X7)
              | ~ aReductOfIn0(X7,X5,xR)
              | ~ sdtmndtplgtdt0(X7,xR,X6) )
          & ~ sdtmndtplgtdt0(X5,xR,X6) )
        | ~ aElement0(X5)
        | ~ aElement0(X6) )
    & isTerminating0(xR) ),
    inference(rectify,[],[f66]) ).

fof(f97,plain,
    ( ! [X0,X1,X2] :
        ( ( aElement0(sK22(X1,X2))
          & ( sK22(X1,X2) = X1
            | ( ( aReductOfIn0(sK22(X1,X2),X1,xR)
                | ( aElement0(sK23(X1,X2))
                  & aReductOfIn0(sK23(X1,X2),X1,xR)
                  & sdtmndtplgtdt0(sK23(X1,X2),xR,sK22(X1,X2)) ) )
              & sdtmndtplgtdt0(X1,xR,sK22(X1,X2)) ) )
          & sdtmndtasgtdt0(X1,xR,sK22(X1,X2))
          & sP4(sK22(X1,X2),X2)
          & sdtmndtasgtdt0(X2,xR,sK22(X1,X2)) )
        | ~ aElement0(X0)
        | ~ aElement0(X1)
        | ~ aElement0(X2)
        | ~ aReductOfIn0(X1,X0,xR)
        | ~ aReductOfIn0(X2,X0,xR) )
    & isLocallyConfluent0(xR)
    & ! [X5,X6] :
        ( iLess0(X6,X5)
        | ( ~ aReductOfIn0(X6,X5,xR)
          & ! [X7] :
              ( ~ aElement0(X7)
              | ~ aReductOfIn0(X7,X5,xR)
              | ~ sdtmndtplgtdt0(X7,xR,X6) )
          & ~ sdtmndtplgtdt0(X5,xR,X6) )
        | ~ aElement0(X5)
        | ~ aElement0(X6) )
    & isTerminating0(xR) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X3,sK22(X1,X2)),skolemize(X4,sK23(X1,X2))],[f96]) ).

fof(f109,plain,
    ( aElement0(xw)
    & ( xu = xw
      | ( ( aReductOfIn0(xw,xu,xR)
          | ( aElement0(sK31)
            & aReductOfIn0(sK31,xu,xR)
            & sdtmndtplgtdt0(sK31,xR,xw) ) )
        & sdtmndtplgtdt0(xu,xR,xw) ) )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( xv = xw
      | ( ( aReductOfIn0(xw,xv,xR)
          | ( aElement0(sK32)
            & aReductOfIn0(sK32,xv,xR)
            & sdtmndtplgtdt0(sK32,xR,xw) ) )
        & sdtmndtplgtdt0(xv,xR,xw) ) )
    & sdtmndtasgtdt0(xv,xR,xw) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f32]) ).

fof(f110,plain,
    ! [X0] :
      ( ( ~ aElement0(X0)
        | ( xw != X0
          & ~ aReductOfIn0(X0,xw,xR)
          & ! [X1] :
              ( ~ aElement0(X1)
              | ~ aReductOfIn0(X1,xw,xR)
              | ~ sdtmndtplgtdt0(X1,xR,X0) )
          & ~ sdtmndtplgtdt0(xw,xR,X0)
          & ~ sdtmndtasgtdt0(xw,xR,X0) )
        | aReductOfIn0(sK33(X0),X0,xR) )
      & ~ aNormalFormOfIn0(X0,xw,xR) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X2,sK33(X0))],[f58]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK20(X0,X1),X1,X0)
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0)
      | ~ isTerminating0(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f156,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f161,plain,
    isTerminating0(xR),
    inference(cnf_transformation,[],[f97]) ).

fof(f231,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f109]) ).

fof(f232,plain,
    ! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
    inference(cnf_transformation,[],[f110]) ).

fof(f249,definition,
    ( spl34_2
  <=> aElement0(xw) ),
    introduced(definition,[new_symbols(definition,[spl34_2])],[avatar_definition]) ).

fof(f250,plain,
    ( aElement0(xw)
    | ~ spl34_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f309,plain,
    spl34_2,
    inference(avatar_split_clause,[],[f231,f249]) ).

fof(f652,plain,
    ( ~ aElement0(xw)
    | ~ aRewritingSystem0(xR)
    | ~ isTerminating0(xR) ),
    inference(resolution,[],[f155,f232]) ).

fof(f659,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ isTerminating0(xR)
    | ~ spl34_2 ),
    inference(forward_subsumption_resolution,[],[f652,f250]) ).

fof(f662,plain,
    ( ~ isTerminating0(xR)
    | ~ spl34_2 ),
    inference(forward_subsumption_resolution,[],[f659,f156]) ).

fof(f665,plain,
    ( $false
    | ~ spl34_2 ),
    inference(forward_subsumption_resolution,[],[f662,f161]) ).

fof(f666,plain,
    ~ spl34_2,
    inference(avatar_contradiction_clause,[],[f665]) ).

cnf(s10,plain,
    spl34_2,
    inference(sat_conversion,[],[f309]) ).

cnf(s34,plain,
    ~ spl34_2,
    inference(sat_conversion,[],[f666]) ).

cnf(s37,plain,
    $false,
    inference(rat,[],[s10,s34]) ).

fof(f671,plain,
    $false,
    inference(avatar_sat_refutation,[],[s37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM018+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20  % Computer : n015.cluster.edu
% 0.06/0.20  % Model    : x86_64 x86_64
% 0.06/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.20  % Memory   : 8046.5625MB
% 0.06/0.20  % OS       : Linux 6.8.0-71-generic
% 0.06/0.20  % CPULimit : 300
% 0.06/0.20  % WCLimit  : 300
% 0.06/0.20  % DateTime : Mon Sep 28 21:49:48 UTC 2026
% 0.06/0.20  % CPUTime  : 
% 0.06/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.24  Running first-order model finding
% 0.06/0.24  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
% 0.20/0.30  % (3067320)Will run a generic schedule for satisfiability detection.
% 0.20/0.30  % (3067329)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2197683735:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30  % (3067327)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2884054680:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30  % (3067328)dis+10_1_sil=32000:sp=arity:random_seed=2200125990:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30  % (3067326)% WARNING: option uhcvi not known.
% 0.20/0.30  % (3067331)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1228771195:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30  % (3067325)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1498086052_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30  % (3067330)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3927410499:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30  % (3067326)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1063097267:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30  % (3067328) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3067320-3067328"...
% 0.20/0.30  % (3067329) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3067320-3067329"...
% 0.20/0.30  % (3067328)...printing done.
% 0.20/0.30  % (3067328)Refutation found. Thanks to Tanya!
% 0.20/0.30  % SZS status Theorem for theBenchmark
% 0.20/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30  % (3067328)------------------------------
% 0.20/0.30  % (3067328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30  % (3067328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30  % (3067328)CaDiCaL version: 2.1.3
% 0.20/0.30  % (3067328)Termination reason: Refutation
% 0.20/0.30  % (3067328)Time elapsed: 0.010 s
% 0.20/0.30  % (3067328)Peak memory usage: 13 MB
% 0.20/0.30  % (3067328)Instructions burned: 14 (million)
% 0.20/0.30  % (3067320)Success in time 0.057 s
% 0.20/0.30  % Vampire exiting
%------------------------------------------------------------------------------