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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG223+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 09:19:26 AM UTC 2026

% Result   : Theorem 23.90s 5.30s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   64 (  15 unt;   1 def)
%            Number of atoms       :  229 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  290 ( 125   ~; 115   |;  33   &)
%                                         (   3 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   2 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  121 (   0 sgn 106   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,axiom,
    ! [X0,X1,X2] :
      ( ( r1_tarski(X0,X1)
        & r1_tarski(X1,X2) )
     => r1_tarski(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f42803,axiom,
    ! [X0,X1] :
      ( m1_pboole(X1,X0)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
             => ( r1_closure3(X0,X1,X2,X3)
              <=> ! [X4] :
                    ~ ( r2_hidden(X4,X3)
                      & ! [X5] :
                          ~ ( r2_hidden(X5,X2)
                            & r1_tarski(X4,X5) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_closure3) ).

fof(f42805,conjecture,
    ! [X0,X1] :
      ( m1_pboole(X1,X0)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
                 => ( ( r1_closure3(X0,X1,X3,X2)
                      & r1_closure3(X0,X1,X4,X3) )
                   => r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_closure3) ).

fof(f42806,negated_conjecture,
    ~ ! [X0,X1] :
        ( m1_pboole(X1,X0)
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
               => ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
                   => ( ( r1_closure3(X0,X1,X3,X2)
                        & r1_closure3(X0,X1,X4,X3) )
                     => r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f42805]) ).

fof(f42866,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ~ r1_closure3(X0,X1,X4,X2)
                  & r1_closure3(X0,X1,X3,X2)
                  & r1_closure3(X0,X1,X4,X3)
                  & m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
              & m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
          & m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
      & m1_pboole(X1,X0) ),
    inference(ennf_transformation,[],[f42806]) ).

fof(f42867,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ~ r1_closure3(X0,X1,X4,X2)
                  & r1_closure3(X0,X1,X3,X2)
                  & r1_closure3(X0,X1,X4,X3)
                  & m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
              & m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
          & m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
      & m1_pboole(X1,X0) ),
    inference(flattening,[],[f42866]) ).

fof(f42888,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( r1_closure3(X0,X1,X2,X3)
              <=> ! [X4] :
                    ( ~ r2_hidden(X4,X3)
                    | ? [X5] :
                        ( r2_hidden(X5,X2)
                        & r1_tarski(X4,X5) ) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
      | ~ m1_pboole(X1,X0) ),
    inference(ennf_transformation,[],[f42803]) ).

fof(f43007,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f43008,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X2) ),
    inference(flattening,[],[f43007]) ).

fof(f46222,plain,
    ( ~ r1_closure3(sK39,sK40,sK43,sK41)
    & r1_closure3(sK39,sK40,sK42,sK41)
    & r1_closure3(sK39,sK40,sK43,sK42)
    & m1_subset_1(sK43,k1_zfmisc_1(k1_closure2(sK39,sK40)))
    & m1_subset_1(sK42,k1_zfmisc_1(k1_closure2(sK39,sK40)))
    & m1_subset_1(sK41,k1_zfmisc_1(k1_closure2(sK39,sK40)))
    & m1_pboole(sK40,sK39) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43]),skolemize(X0,sK39),skolemize(X1,sK40),skolemize(X2,sK41),skolemize(X3,sK42),skolemize(X4,sK43)],[f42867]) ).

fof(f46240,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_closure3(X0,X1,X2,X3)
                  | ? [X4] :
                      ( r2_hidden(X4,X3)
                      & ! [X5] :
                          ( ~ r2_hidden(X5,X2)
                          | ~ r1_tarski(X4,X5) ) ) )
                & ( ! [X4] :
                      ( ~ r2_hidden(X4,X3)
                      | ? [X5] :
                          ( r2_hidden(X5,X2)
                          & r1_tarski(X4,X5) ) )
                  | ~ r1_closure3(X0,X1,X2,X3) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
      | ~ m1_pboole(X1,X0) ),
    inference(nnf_transformation,[],[f42888]) ).

fof(f46241,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_closure3(X0,X1,X2,X3)
                  | ? [X4] :
                      ( r2_hidden(X4,X3)
                      & ! [X5] :
                          ( ~ r2_hidden(X5,X2)
                          | ~ r1_tarski(X4,X5) ) ) )
                & ( ! [X6] :
                      ( ~ r2_hidden(X6,X3)
                      | ? [X7] :
                          ( r2_hidden(X7,X2)
                          & r1_tarski(X6,X7) ) )
                  | ~ r1_closure3(X0,X1,X2,X3) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
      | ~ m1_pboole(X1,X0) ),
    inference(rectify,[],[f46240]) ).

fof(f46242,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_closure3(X0,X1,X2,X3)
                  | ( r2_hidden(sK53(X2,X3),X3)
                    & ! [X5] :
                        ( ~ r2_hidden(X5,X2)
                        | ~ r1_tarski(sK53(X2,X3),X5) ) ) )
                & ( ! [X6] :
                      ( ~ r2_hidden(X6,X3)
                      | ( r2_hidden(sK54(X2,X6),X2)
                        & r1_tarski(X6,sK54(X2,X6)) ) )
                  | ~ r1_closure3(X0,X1,X2,X3) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
      | ~ m1_pboole(X1,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X4,sK53(X2,X3)),skolemize(X7,sK54(X2,X6))],[f46241]) ).

fof(f47283,plain,
    m1_pboole(sK40,sK39),
    inference(cnf_transformation,[],[f46222]) ).

fof(f47284,plain,
    m1_subset_1(sK41,k1_zfmisc_1(k1_closure2(sK39,sK40))),
    inference(cnf_transformation,[],[f46222]) ).

fof(f47285,plain,
    m1_subset_1(sK42,k1_zfmisc_1(k1_closure2(sK39,sK40))),
    inference(cnf_transformation,[],[f46222]) ).

fof(f47286,plain,
    m1_subset_1(sK43,k1_zfmisc_1(k1_closure2(sK39,sK40))),
    inference(cnf_transformation,[],[f46222]) ).

fof(f47287,plain,
    r1_closure3(sK39,sK40,sK43,sK42),
    inference(cnf_transformation,[],[f46222]) ).

fof(f47288,plain,
    r1_closure3(sK39,sK40,sK42,sK41),
    inference(cnf_transformation,[],[f46222]) ).

fof(f47289,plain,
    ~ r1_closure3(sK39,sK40,sK43,sK41),
    inference(cnf_transformation,[],[f46222]) ).

fof(f47322,plain,
    ! [X2,X3,X0,X1,X6] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | r1_tarski(X6,sK54(X2,X6))
      | ~ r1_closure3(X0,X1,X2,X3)
      | ~ r2_hidden(X6,X3)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
      | ~ m1_pboole(X1,X0) ),
    inference(cnf_transformation,[],[f46242]) ).

fof(f47323,plain,
    ! [X2,X3,X0,X1,X6] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | r2_hidden(sK54(X2,X6),X2)
      | ~ r1_closure3(X0,X1,X2,X3)
      | ~ r2_hidden(X6,X3)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
      | ~ m1_pboole(X1,X0) ),
    inference(cnf_transformation,[],[f46242]) ).

fof(f47324,plain,
    ! [X2,X3,X0,X1,X5] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | ~ r2_hidden(X5,X2)
      | ~ r1_tarski(sK53(X2,X3),X5)
      | r1_closure3(X0,X1,X2,X3)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
      | ~ m1_pboole(X1,X0) ),
    inference(cnf_transformation,[],[f46242]) ).

fof(f47325,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | r2_hidden(sK53(X2,X3),X3)
      | r1_closure3(X0,X1,X2,X3)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
      | ~ m1_pboole(X1,X0) ),
    inference(cnf_transformation,[],[f46242]) ).

fof(f47544,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X2) ),
    inference(cnf_transformation,[],[f43008]) ).

fof(f53889,plain,
    ! [X0,X1] :
      ( r2_hidden(sK54(X0,X1),X0)
      | ~ r1_closure3(sK39,sK40,X0,sK41)
      | ~ r2_hidden(X1,sK41)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ m1_pboole(sK40,sK39) ),
    inference(resolution,[],[f47284,f47323]) ).

fof(f53890,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ r1_closure3(sK39,sK40,X0,sK41)
      | ~ r2_hidden(X1,sK41)
      | r2_hidden(sK54(X0,X1),X0) ),
    inference(forward_subsumption_resolution,[],[f53889,f47283]) ).

fof(f53930,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,sK54(X1,X0))
      | ~ r1_closure3(sK39,sK40,X1,sK41)
      | ~ r2_hidden(X0,sK41)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ m1_pboole(sK40,sK39) ),
    inference(resolution,[],[f47322,f47284]) ).

fof(f53935,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ r1_closure3(sK39,sK40,X1,sK41)
      | ~ r2_hidden(X0,sK41)
      | r1_tarski(X0,sK54(X1,X0)) ),
    inference(forward_subsumption_resolution,[],[f53930,f47283]) ).

fof(f53936,plain,
    ! [X0] :
      ( r2_hidden(sK53(X0,sK41),sK41)
      | r1_closure3(sK39,sK40,X0,sK41)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ m1_pboole(sK40,sK39) ),
    inference(resolution,[],[f47325,f47284]) ).

fof(f53940,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | r1_closure3(sK39,sK40,X0,sK41)
      | r2_hidden(sK53(X0,sK41),sK41) ),
    inference(forward_subsumption_resolution,[],[f53936,f47283]) ).

fof(f53942,plain,
    ( r1_closure3(sK39,sK40,sK43,sK41)
    | r2_hidden(sK53(sK43,sK41),sK41) ),
    inference(resolution,[],[f53940,f47286]) ).

fof(f53943,plain,
    r2_hidden(sK53(sK43,sK41),sK41),
    inference(forward_subsumption_resolution,[],[f53942,f47289]) ).

fof(f53954,plain,
    ! [X0] :
      ( ~ r1_closure3(sK39,sK40,sK42,sK41)
      | ~ r2_hidden(X0,sK41)
      | r1_tarski(X0,sK54(sK42,X0)) ),
    inference(resolution,[],[f47285,f53935]) ).

fof(f53958,plain,
    ! [X0] :
      ( ~ r1_closure3(sK39,sK40,sK42,sK41)
      | ~ r2_hidden(X0,sK41)
      | r2_hidden(sK54(sK42,X0),sK42) ),
    inference(resolution,[],[f47285,f53890]) ).

fof(f53960,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,sK54(X1,X0))
      | ~ r1_closure3(sK39,sK40,X1,sK42)
      | ~ r2_hidden(X0,sK42)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ m1_pboole(sK40,sK39) ),
    inference(resolution,[],[f47285,f47322]) ).

fof(f53962,plain,
    ! [X0,X1] :
      ( r2_hidden(sK54(X0,X1),X0)
      | ~ r1_closure3(sK39,sK40,X0,sK42)
      | ~ r2_hidden(X1,sK42)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ m1_pboole(sK40,sK39) ),
    inference(resolution,[],[f47285,f47323]) ).

fof(f53963,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ r1_closure3(sK39,sK40,X0,sK42)
      | ~ r2_hidden(X1,sK42)
      | r2_hidden(sK54(X0,X1),X0) ),
    inference(forward_subsumption_resolution,[],[f53962,f47283]) ).

fof(f53965,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ r1_closure3(sK39,sK40,X1,sK42)
      | ~ r2_hidden(X0,sK42)
      | r1_tarski(X0,sK54(X1,X0)) ),
    inference(forward_subsumption_resolution,[],[f53960,f47283]) ).

fof(f53967,plain,
    ! [X0] :
      ( r2_hidden(sK54(sK42,X0),sK42)
      | ~ r2_hidden(X0,sK41) ),
    inference(forward_subsumption_resolution,[],[f53958,f47288]) ).

fof(f53981,plain,
    ! [X0] :
      ( r1_tarski(X0,sK54(sK42,X0))
      | ~ r2_hidden(X0,sK41) ),
    inference(forward_subsumption_resolution,[],[f53954,f47288]) ).

fof(f53992,plain,
    ! [X0] :
      ( ~ r1_closure3(sK39,sK40,sK43,sK42)
      | ~ r2_hidden(X0,sK42)
      | r2_hidden(sK54(sK43,X0),sK43) ),
    inference(resolution,[],[f53963,f47286]) ).

fof(f53995,plain,
    ! [X0] :
      ( r2_hidden(sK54(sK43,X0),sK43)
      | ~ r2_hidden(X0,sK42) ),
    inference(forward_subsumption_resolution,[],[f53992,f47287]) ).

fof(f54005,plain,
    ! [X0] :
      ( ~ r1_closure3(sK39,sK40,sK43,sK42)
      | ~ r2_hidden(X0,sK42)
      | r1_tarski(X0,sK54(sK43,X0)) ),
    inference(resolution,[],[f53965,f47286]) ).

fof(f54008,plain,
    ! [X0] :
      ( r1_tarski(X0,sK54(sK43,X0))
      | ~ r2_hidden(X0,sK42) ),
    inference(forward_subsumption_resolution,[],[f54005,f47287]) ).

fof(f54009,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ~ r1_tarski(sK53(X1,sK41),X0)
      | r1_closure3(sK39,sK40,X1,sK41)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ m1_pboole(sK40,sK39) ),
    inference(resolution,[],[f47324,f47284]) ).

fof(f54015,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK39,sK40)))
      | ~ r1_tarski(sK53(X1,sK41),X0)
      | r1_closure3(sK39,sK40,X1,sK41)
      | ~ r2_hidden(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f54009,f47283]) ).

fof(f54078,plain,
    ! [X0] :
      ( ~ r1_tarski(sK53(sK43,sK41),X0)
      | r1_closure3(sK39,sK40,sK43,sK41)
      | ~ r2_hidden(X0,sK43) ),
    inference(resolution,[],[f54015,f47286]) ).

fof(f54080,plain,
    ! [X0] :
      ( ~ r1_tarski(sK53(sK43,sK41),X0)
      | ~ r2_hidden(X0,sK43) ),
    inference(forward_subsumption_resolution,[],[f54078,f47289]) ).

fof(f54223,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(sK53(sK43,sK41),X0)
      | ~ r1_tarski(X0,X1)
      | ~ r2_hidden(X1,sK43) ),
    inference(resolution,[],[f47544,f54080]) ).

fof(f54227,plain,
    ! [X0] :
      ( ~ r1_tarski(sK54(sK42,sK53(sK43,sK41)),X0)
      | ~ r2_hidden(X0,sK43)
      | ~ r2_hidden(sK53(sK43,sK41),sK41) ),
    inference(resolution,[],[f54223,f53981]) ).

fof(f54234,plain,
    ! [X0] :
      ( ~ r1_tarski(sK54(sK42,sK53(sK43,sK41)),X0)
      | ~ r2_hidden(X0,sK43) ),
    inference(forward_subsumption_resolution,[],[f54227,f53943]) ).

fof(f54240,plain,
    ( ~ r2_hidden(sK54(sK43,sK54(sK42,sK53(sK43,sK41))),sK43)
    | ~ r2_hidden(sK54(sK42,sK53(sK43,sK41)),sK42) ),
    inference(resolution,[],[f54234,f54008]) ).

fof(f54244,definition,
    ( spl713_47
  <=> r2_hidden(sK54(sK42,sK53(sK43,sK41)),sK42) ),
    introduced(definition,[new_symbols(definition,[spl713_47])],[avatar_definition]) ).

fof(f54246,plain,
    ( ~ r2_hidden(sK54(sK42,sK53(sK43,sK41)),sK42)
    | spl713_47 ),
    inference(avatar_component_clause,[],[f54244]) ).

fof(f54257,plain,
    ~ r2_hidden(sK54(sK42,sK53(sK43,sK41)),sK42),
    inference(forward_subsumption_resolution,[],[f54240,f53995]) ).

fof(f54265,plain,
    ~ spl713_47,
    inference(avatar_split_clause,[],[f54257,f54244]) ).

fof(f54298,plain,
    ( ~ r2_hidden(sK53(sK43,sK41),sK41)
    | spl713_47 ),
    inference(resolution,[],[f54246,f53967]) ).

fof(f54299,plain,
    ( $false
    | spl713_47 ),
    inference(forward_subsumption_resolution,[],[f54298,f53943]) ).

fof(f54300,plain,
    spl713_47,
    inference(avatar_contradiction_clause,[],[f54299]) ).

cnf(s49,plain,
    ~ spl713_47,
    inference(sat_conversion,[],[f54265]) ).

cnf(s55,plain,
    spl713_47,
    inference(sat_conversion,[],[f54300]) ).

cnf(s56,plain,
    $false,
    inference(rat,[],[s49,s55]) ).

fof(f54301,plain,
    $false,
    inference(avatar_sat_refutation,[],[s56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG223+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n017.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 19:44:59 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.59/3.73  % (3943551)Detected formulas, will run a generic FOF schedule.
% 15.59/3.73  % (3943562)dis-21_1_sil=8000:lcm=predicate:random_seed=2994905271:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 15.59/3.73  % (3943557)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1413688027:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 15.59/3.73  % (3943559)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3845825998:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 15.59/3.73  % (3943558)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4184278317:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 15.59/3.73  % (3943560)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2884616592:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 15.59/3.73  % (3943561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1366501214:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 15.59/3.73  % (3943556)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1990873052:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 15.59/3.73  % (3943561)Instruction limit reached! 
% 15.59/3.73  % (3943561)------------------------------
% 15.59/3.73  % (3943561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.59/3.73  % (3943561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/3.73  % (3943561)CaDiCaL version: 2.1.3
% 15.59/3.73  % (3943561)Termination reason: Instruction limit
% 15.59/3.73  % (3943561)Termination phase: Property scanning
% 15.59/3.73  % (3943561)Time elapsed: 0.062 s
% 15.59/3.73  % (3943561)Peak memory usage: 149 MB
% 15.59/3.73  % (3943561)Instructions burned: 139 (million)
% 15.59/3.73  % (3943562)Instruction limit reached! 
% 15.59/3.73  % (3943562)------------------------------
% 15.59/3.73  % (3943562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.59/3.73  % (3943562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/3.73  % (3943562)CaDiCaL version: 2.1.3
% 15.59/3.73  % (3943562)Termination reason: Instruction limit
% 15.59/3.73  % (3943562)Termination phase: SInE selection
% 15.59/3.73  % (3943562)Time elapsed: 0.075 s
% 15.59/3.73  % (3943562)Peak memory usage: 148 MB
% 15.59/3.73  % (3943562)Instructions burned: 130 (million)
% 15.59/3.73  % (3943559)Instruction limit reached! 
% 15.59/3.73  % (3943559)------------------------------
% 15.59/3.73  % (3943559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.59/3.73  % (3943559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/3.73  % (3943559)CaDiCaL version: 2.1.3
% 15.59/3.73  % (3943559)Termination reason: Instruction limit
% 15.59/3.73  % (3943559)Termination phase: SInE selection
% 15.59/3.73  % (3943559)Time elapsed: 0.079 s
% 15.59/3.73  % (3943559)Peak memory usage: 148 MB
% 15.59/3.73  % (3943559)Instructions burned: 109 (million)
% 15.59/3.73  % (3943560)Instruction limit reached! 
% 15.59/3.73  % (3943560)------------------------------
% 15.59/3.73  % (3943560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.59/3.73  % (3943560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/3.73  % (3943560)CaDiCaL version: 2.1.3
% 15.59/3.73  % (3943560)Termination reason: Instruction limit
% 15.59/3.73  % (3943560)Termination phase: SInE selection
% 15.59/3.73  % (3943560)Time elapsed: 0.087 s
% 15.59/3.73  % (3943560)Peak memory usage: 148 MB
% 15.59/3.73  % (3943560)Instructions burned: 120 (million)
% 15.59/3.73  % (3943571)lrs+10_1_sil=32000:urr=on:br=off:random_seed=835762633:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/157Mi)
% 15.59/3.73  % (3943570)lrs+10_1_sil=8000:sp=occurrence:random_seed=3303855154:i=285:sd=3:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/285Mi)
% 15.59/3.73  % (3943571)Instruction limit reached! 
% 15.59/3.73  % (3943571)------------------------------
% 15.59/3.73  % (3943571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.59/3.73  % (3943571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/3.73  % (3943571)CaDiCaL version: 2.1.3
% 15.59/3.73  % (3943571)Termination reason: Instruction limit
% 23.25/4.83  % (3943571)Termination phase: Property scanning
% 23.25/4.83  % (3943571)Time elapsed: 0.040 s
% 23.25/4.83  % (3943571)Peak memory usage: 149 MB
% 23.25/4.83  % (3943571)Instructions burned: 161 (million)
% 23.25/4.83  % (3943572)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3170038956:i=325:sd=1:ss=axioms:sgt=32_2985 on theBenchmark for (2985ds/325Mi)
% 23.25/4.83  % (3943573)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2587652715:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 23.25/4.83  % (3943576)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2623219129:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 23.25/4.83  % (3943573)Instruction limit reached! 
% 23.25/4.83  % (3943573)------------------------------
% 23.25/4.83  % (3943573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.83  % (3943573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.83  % (3943573)CaDiCaL version: 2.1.3
% 23.25/4.83  % (3943573)Termination reason: Instruction limit
% 23.25/4.83  % (3943573)Termination phase: Property scanning
% 23.25/4.83  % (3943573)Time elapsed: 0.109 s
% 23.25/4.83  % (3943573)Peak memory usage: 149 MB
% 23.25/4.83  % (3943573)Instructions burned: 249 (million)
% 23.25/4.83  % (3943570)Instruction limit reached! 
% 23.25/4.83  % (3943570)------------------------------
% 23.25/4.83  % (3943570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.83  % (3943570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.83  % (3943570)CaDiCaL version: 2.1.3
% 23.25/4.83  % (3943570)Termination reason: Instruction limit
% 23.25/4.83  % (3943570)Termination phase: SInE selection
% 23.25/4.83  % (3943570)Time elapsed: 0.202 s
% 23.25/4.83  % (3943570)Peak memory usage: 149 MB
% 23.25/4.83  % (3943570)Instructions burned: 286 (million)
% 23.25/4.83  % (3943576)Instruction limit reached! 
% 23.25/4.83  % (3943576)------------------------------
% 23.25/4.83  % (3943576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.83  % (3943576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.83  % (3943576)CaDiCaL version: 2.1.3
% 23.25/4.83  % (3943576)Termination reason: Instruction limit
% 23.25/4.83  % (3943576)Termination phase: SInE selection
% 23.25/4.83  % (3943576)Time elapsed: 0.107 s
% 23.25/4.83  % (3943576)Peak memory usage: 149 MB
% 23.25/4.83  % (3943576)Instructions burned: 297 (million)
% 23.25/4.83  % (3943580)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2274815181:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 23.25/4.83  % (3943572)Instruction limit reached! 
% 23.25/4.83  % (3943572)------------------------------
% 23.25/4.83  % (3943572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.83  % (3943572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.83  % (3943572)CaDiCaL version: 2.1.3
% 23.25/4.83  % (3943572)Termination reason: Instruction limit
% 23.25/4.83  % (3943572)Termination phase: Saturation
% 23.25/4.83  % (3943572)Time elapsed: 0.271 s
% 23.25/4.83  % (3943572)Peak memory usage: 155 MB
% 23.25/4.83  % (3943572)Instructions burned: 326 (million)
% 23.25/4.83  % (3943581)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3798566736:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 23.25/4.83  % (3943582)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3301344489:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 23.25/4.83  % (3943582)Instruction limit reached! 
% 23.25/4.83  % (3943582)------------------------------
% 23.25/4.83  % (3943582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.83  % (3943582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.83  % (3943582)CaDiCaL version: 2.1.3
% 23.25/4.83  % (3943582)Termination reason: Instruction limit
% 23.25/4.83  % (3943582)Termination phase: Preprocessing 1
% 23.25/4.83  % (3943582)Time elapsed: 0.058 s
% 23.25/4.83  % (3943582)Peak memory usage: 150 MB
% 23.25/4.83  % (3943582)Instructions burned: 129 (million)
% 23.25/4.83  % (3943581)Instruction limit reached! 
% 23.25/4.83  % (3943581)------------------------------
% 23.25/4.83  % (3943581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.83  % (3943581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.83  % (3943581)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943581)Termination reason: Instruction limit
% 23.90/5.30  % (3943581)Termination phase: SInE selection
% 23.90/5.30  % (3943581)Time elapsed: 0.091 s
% 23.90/5.30  % (3943581)Peak memory usage: 149 MB
% 23.90/5.30  % (3943581)Instructions burned: 113 (million)
% 23.90/5.30  % (3943584)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3949334822:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 23.90/5.30  % (3943584)Instruction limit reached! 
% 23.90/5.30  % (3943584)------------------------------
% 23.90/5.30  % (3943584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943584)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943584)Termination reason: Instruction limit
% 23.90/5.30  % (3943584)Termination phase: Property scanning
% 23.90/5.30  % (3943584)Time elapsed: 0.055 s
% 23.90/5.30  % (3943584)Peak memory usage: 149 MB
% 23.90/5.30  % (3943584)Instructions burned: 115 (million)
% 23.90/5.30  % (3943587)lrs+10_1_sil=8000:sp=occurrence:random_seed=1074636157:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 23.90/5.30  % (3943588)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2919102322:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 23.90/5.30  % (3943590)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3544706420:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 23.90/5.30  % (3943587)Instruction limit reached! 
% 23.90/5.30  % (3943587)------------------------------
% 23.90/5.30  % (3943587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943587)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943587)Termination reason: Instruction limit
% 23.90/5.30  % (3943587)Termination phase: Property scanning
% 23.90/5.30  % (3943587)Time elapsed: 0.347 s
% 23.90/5.30  % (3943587)Peak memory usage: 163 MB
% 23.90/5.30  % (3943587)Instructions burned: 909 (million)
% 23.90/5.30  % (3943588)Instruction limit reached! 
% 23.90/5.30  % (3943588)------------------------------
% 23.90/5.30  % (3943588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943588)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943588)Termination reason: Instruction limit
% 23.90/5.30  % (3943588)Termination phase: Saturation
% 23.90/5.30  % (3943588)Time elapsed: 0.341 s
% 23.90/5.30  % (3943588)Peak memory usage: 155 MB
% 23.90/5.30  % (3943588)Instructions burned: 437 (million)
% 23.90/5.30  % (3943594)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=769656088:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 23.90/5.30  % (3943594)Instruction limit reached! 
% 23.90/5.30  % (3943594)------------------------------
% 23.90/5.30  % (3943594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943594)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943594)Termination reason: Instruction limit
% 23.90/5.30  % (3943594)Termination phase: SInE selection
% 23.90/5.30  % (3943594)Time elapsed: 0.059 s
% 23.90/5.30  % (3943594)Peak memory usage: 149 MB
% 23.90/5.30  % (3943594)Instructions burned: 136 (million)
% 23.90/5.30  % (3943595)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2418392142:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 23.90/5.30  % (3943597)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=48250143:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 23.90/5.30  % (3943595)Instruction limit reached! 
% 23.90/5.30  % (3943595)------------------------------
% 23.90/5.30  % (3943595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943595)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943595)Termination reason: Instruction limit
% 23.90/5.30  % (3943595)Termination phase: Preprocessing 1
% 23.90/5.30  % (3943595)Time elapsed: 0.430 s
% 23.90/5.30  % (3943595)Peak memory usage: 152 MB
% 23.90/5.30  % (3943595)Instructions burned: 593 (million)
% 23.90/5.30  % (3943600)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2073591313:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 23.90/5.30  % (3943600)Instruction limit reached! 
% 23.90/5.30  % (3943600)------------------------------
% 23.90/5.30  % (3943600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943600)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943600)Termination reason: Instruction limit
% 23.90/5.30  % (3943600)Termination phase: Property scanning
% 23.90/5.30  % (3943600)Time elapsed: 0.059 s
% 23.90/5.30  % (3943600)Peak memory usage: 149 MB
% 23.90/5.30  % (3943600)Instructions burned: 125 (million)
% 23.90/5.30  % (3943580)Instruction limit reached! 
% 23.90/5.30  % (3943580)------------------------------
% 23.90/5.30  % (3943580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943580)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943580)Termination reason: Instruction limit
% 23.90/5.30  % (3943580)Termination phase: Preprocessing 3
% 23.90/5.30  % (3943580)Time elapsed: 1.572 s
% 23.90/5.30  % (3943580)Peak memory usage: 249 MB
% 23.90/5.30  % (3943580)Instructions burned: 2350 (million)
% 23.90/5.30  % (3943602)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1099930896:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 23.90/5.30  % (3943602)Instruction limit reached! 
% 23.90/5.30  % (3943602)------------------------------
% 23.90/5.30  % (3943602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943602)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943602)Termination reason: Instruction limit
% 23.90/5.30  % (3943602)Termination phase: Property scanning
% 23.90/5.30  % (3943602)Time elapsed: 0.063 s
% 23.90/5.30  % (3943602)Peak memory usage: 149 MB
% 23.90/5.30  % (3943602)Instructions burned: 135 (million)
% 23.90/5.30  % (3943603)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2731061220:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 23.90/5.30  % (3943603)Instruction limit reached! 
% 23.90/5.30  % (3943603)------------------------------
% 23.90/5.30  % (3943603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943603)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943603)Termination reason: Instruction limit
% 23.90/5.30  % (3943603)Termination phase: SInE selection
% 23.90/5.30  % (3943603)Time elapsed: 0.114 s
% 23.90/5.30  % (3943603)Peak memory usage: 149 MB
% 23.90/5.30  % (3943603)Instructions burned: 142 (million)
% 23.90/5.30  % (3943606)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=46213931:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2963 on theBenchmark for (2963ds/431Mi)
% 23.90/5.30  % (3943607)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1477363446:i=6060:aac=none:ins=25_2962 on theBenchmark for (2962ds/6060Mi)
% 23.90/5.30  % (3943606)Instruction limit reached! 
% 23.90/5.30  % (3943606)------------------------------
% 23.90/5.30  % (3943606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943606)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943606)Termination reason: Instruction limit
% 23.90/5.30  % (3943606)Termination phase: Saturation
% 23.90/5.30  % (3943606)Time elapsed: 0.325 s
% 23.90/5.30  % (3943606)Peak memory usage: 155 MB
% 23.90/5.30  % (3943606)Instructions burned: 432 (million)
% 23.90/5.30  % (3943610)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3810809211:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2958 on theBenchmark for (2958ds/150Mi)
% 23.90/5.30  % (3943610)Instruction limit reached! 
% 23.90/5.30  % (3943610)------------------------------
% 23.90/5.30  % (3943610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.90/5.30  % (3943610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.90/5.30  % (3943610)CaDiCaL version: 2.1.3
% 23.90/5.30  % (3943610)Termination reason: Instruction limit
% 23.90/5.30  % (3943610)Termination phase: SInE selection
% 23.90/5.30  % (3943610)Time elapsed: 0.116 s
% 23.90/5.30  % (3943610)Peak memory usage: 149 MB
% 23.90/5.30  % (3943610)Instructions burned: 151 (million)
% 23.90/5.30  % (3943590)First to succeed.
% 23.90/5.30  % (3943590)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3943551"
% 23.90/5.30  % (3943612)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4010731283:i=14155:bd=all_2955 on theBenchmark for (2955ds/14155Mi)
% 23.90/5.30  % (3943597)Also succeeded, but the first one will report.
% 23.90/5.30  % (3943590)Refutation found. Thanks to Tanya!
% 23.90/5.30  % SZS status Theorem for theBenchmark
% 23.90/5.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/5.51  % (3943590)------------------------------
% 0.19/5.51  % (3943590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/5.51  % (3943590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/5.51  % (3943590)CaDiCaL version: 2.1.3
% 0.19/5.51  % (3943590)Termination reason: Refutation
% 0.19/5.51  % (3943590)Time elapsed: 2.320 s
% 0.19/5.51  % (3943590)Peak memory usage: 274 MB
% 0.19/5.51  % (3943590)Instructions burned: 3605 (million)
% 0.19/5.51  % (3943590)------------------------------
% 0.19/5.51  % (3943590)------------------------------
% 0.19/5.51  % (3943551)Success in time 4.88 s
% 0.19/5.51  % Vampire exiting
%------------------------------------------------------------------------------