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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG223+3 : 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 16.91s 4.18s
% Output   : Refutation 19.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   58 (  16 unt;   0 def)
%            Number of atoms       :  209 (   4 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  254 ( 103   ~; 101   |;  33   &)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  108 (  93   !;  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(f14481,axiom,
    ! [X0,X1] :
      ( m1_pboole(X1,X0)
     => k6_closure2(X0,X1) = k1_closure2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_closure2) ).

fof(f16943,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(f16945,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(f16946,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)],[f16945]) ).

fof(f17028,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,[],[f16943]) ).

fof(f17030,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,[],[f16946]) ).

fof(f17031,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,[],[f17030]) ).

fof(f17311,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f17312,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X2) ),
    inference(flattening,[],[f17311]) ).

fof(f18646,plain,
    ! [X0,X1] :
      ( k6_closure2(X0,X1) = k1_closure2(X0,X1)
      | ~ m1_pboole(X1,X0) ),
    inference(ennf_transformation,[],[f14481]) ).

fof(f21089,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,[],[f17028]) ).

fof(f21090,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,[],[f21089]) ).

fof(f21091,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_closure3(X0,X1,X2,X3)
                  | ( r2_hidden(sK21(X2,X3),X3)
                    & ! [X5] :
                        ( ~ r2_hidden(X5,X2)
                        | ~ r1_tarski(sK21(X2,X3),X5) ) ) )
                & ( ! [X6] :
                      ( ~ r2_hidden(X6,X3)
                      | ( r2_hidden(sK22(X2,X6),X2)
                        & r1_tarski(X6,sK22(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,[sK21,sK22]),skolemize(X4,sK21(X2,X3)),skolemize(X7,sK22(X2,X6))],[f21090]) ).

fof(f21095,plain,
    ( ~ r1_closure3(sK25,sK26,sK29,sK27)
    & r1_closure3(sK25,sK26,sK28,sK27)
    & r1_closure3(sK25,sK26,sK29,sK28)
    & m1_subset_1(sK29,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    & m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    & m1_subset_1(sK27,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    & m1_pboole(sK26,sK25) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK25),skolemize(X1,sK26),skolemize(X2,sK27),skolemize(X3,sK28),skolemize(X4,sK29)],[f17031]) ).

fof(f22430,plain,
    ! [X2,X3,X0,X1,X6] :
      ( ~ r2_hidden(X6,X3)
      | r1_tarski(X6,sK22(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(cnf_transformation,[],[f21091]) ).

fof(f22431,plain,
    ! [X2,X3,X0,X1,X6] :
      ( ~ r2_hidden(X6,X3)
      | r2_hidden(sK22(X2,X6),X2)
      | ~ 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(cnf_transformation,[],[f21091]) ).

fof(f22432,plain,
    ! [X2,X3,X0,X1,X5] :
      ( ~ r1_tarski(sK21(X2,X3),X5)
      | ~ r2_hidden(X5,X2)
      | 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(cnf_transformation,[],[f21091]) ).

fof(f22433,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_pboole(X1,X0)
      | r2_hidden(sK21(X2,X3),X3)
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
      | r1_closure3(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f21091]) ).

fof(f22438,plain,
    m1_pboole(sK26,sK25),
    inference(cnf_transformation,[],[f21095]) ).

fof(f22439,plain,
    m1_subset_1(sK27,k1_zfmisc_1(k1_closure2(sK25,sK26))),
    inference(cnf_transformation,[],[f21095]) ).

fof(f22440,plain,
    m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26))),
    inference(cnf_transformation,[],[f21095]) ).

fof(f22441,plain,
    m1_subset_1(sK29,k1_zfmisc_1(k1_closure2(sK25,sK26))),
    inference(cnf_transformation,[],[f21095]) ).

fof(f22442,plain,
    r1_closure3(sK25,sK26,sK29,sK28),
    inference(cnf_transformation,[],[f21095]) ).

fof(f22443,plain,
    r1_closure3(sK25,sK26,sK28,sK27),
    inference(cnf_transformation,[],[f21095]) ).

fof(f22444,plain,
    ~ r1_closure3(sK25,sK26,sK29,sK27),
    inference(cnf_transformation,[],[f21095]) ).

fof(f22770,plain,
    ! [X2,X0,X1] :
      ( ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1)
      | r1_tarski(X0,X2) ),
    inference(cnf_transformation,[],[f17312]) ).

fof(f24740,plain,
    ! [X0,X1] :
      ( ~ m1_pboole(X1,X0)
      | k1_closure2(X0,X1) = k6_closure2(X0,X1) ),
    inference(cnf_transformation,[],[f18646]) ).

fof(f31103,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK25,sK26)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK25,sK26)))
      | r2_hidden(sK21(X0,X1),X1)
      | r1_closure3(sK25,sK26,X0,X1) ),
    inference(resolution,[],[f22433,f22438]) ).

fof(f31112,plain,
    k1_closure2(sK25,sK26) = k6_closure2(sK25,sK26),
    inference(resolution,[],[f24740,f22438]) ).

fof(f31115,plain,
    m1_subset_1(sK27,k1_zfmisc_1(k6_closure2(sK25,sK26))),
    inference(superposition,[],[f22439,f31112]) ).

fof(f31133,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK25,sK26)))
      | r2_hidden(sK21(sK29,X0),X0)
      | r1_closure3(sK25,sK26,sK29,X0) ),
    inference(resolution,[],[f31103,f22441]) ).

fof(f31467,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK25,sK26)))
      | r2_hidden(sK21(sK29,X0),X0)
      | r1_closure3(sK25,sK26,sK29,X0) ),
    inference(forward_demodulation,[],[f31133,f31112]) ).

fof(f31502,plain,
    ( r2_hidden(sK21(sK29,sK27),sK27)
    | r1_closure3(sK25,sK26,sK29,sK27) ),
    inference(resolution,[],[f31467,f31115]) ).

fof(f31506,plain,
    r2_hidden(sK21(sK29,sK27),sK27),
    inference(forward_subsumption_resolution,[],[f31502,f22444]) ).

fof(f31516,plain,
    ! [X2,X0,X1] :
      ( ~ r1_closure3(X1,X2,X0,sK27)
      | r1_tarski(sK21(sK29,sK27),sK22(X0,sK21(sK29,sK27)))
      | ~ m1_subset_1(sK27,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_pboole(X2,X1) ),
    inference(resolution,[],[f31506,f22430]) ).

fof(f31517,plain,
    ! [X2,X0,X1] :
      ( ~ r1_closure3(X1,X2,X0,sK27)
      | r2_hidden(sK22(X0,sK21(sK29,sK27)),X0)
      | ~ m1_subset_1(sK27,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_pboole(X2,X1) ),
    inference(resolution,[],[f31506,f22431]) ).

fof(f31545,plain,
    ( r2_hidden(sK22(sK28,sK21(sK29,sK27)),sK28)
    | ~ m1_subset_1(sK27,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(resolution,[],[f31517,f22443]) ).

fof(f31546,plain,
    ( r2_hidden(sK22(sK28,sK21(sK29,sK27)),sK28)
    | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31545,f22439]) ).

fof(f31547,plain,
    ( r2_hidden(sK22(sK28,sK21(sK29,sK27)),sK28)
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31546,f22440]) ).

fof(f31548,plain,
    r2_hidden(sK22(sK28,sK21(sK29,sK27)),sK28),
    inference(forward_subsumption_resolution,[],[f31547,f22438]) ).

fof(f31551,plain,
    ! [X2,X0,X1] :
      ( ~ r1_closure3(X1,X2,X0,sK28)
      | r1_tarski(sK22(sK28,sK21(sK29,sK27)),sK22(X0,sK22(sK28,sK21(sK29,sK27))))
      | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_pboole(X2,X1) ),
    inference(resolution,[],[f31548,f22430]) ).

fof(f31552,plain,
    ! [X2,X0,X1] :
      ( ~ r1_closure3(X1,X2,X0,sK28)
      | r2_hidden(sK22(X0,sK22(sK28,sK21(sK29,sK27))),X0)
      | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
      | ~ m1_pboole(X2,X1) ),
    inference(resolution,[],[f31548,f22431]) ).

fof(f31553,plain,
    ( r2_hidden(sK22(sK29,sK22(sK28,sK21(sK29,sK27))),sK29)
    | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_subset_1(sK29,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(resolution,[],[f31552,f22442]) ).

fof(f31554,plain,
    ( r2_hidden(sK22(sK29,sK22(sK28,sK21(sK29,sK27))),sK29)
    | ~ m1_subset_1(sK29,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31553,f22440]) ).

fof(f31555,plain,
    ( r2_hidden(sK22(sK29,sK22(sK28,sK21(sK29,sK27))),sK29)
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31554,f22441]) ).

fof(f31556,plain,
    r2_hidden(sK22(sK29,sK22(sK28,sK21(sK29,sK27))),sK29),
    inference(forward_subsumption_resolution,[],[f31555,f22438]) ).

fof(f31561,plain,
    ( r1_tarski(sK22(sK28,sK21(sK29,sK27)),sK22(sK29,sK22(sK28,sK21(sK29,sK27))))
    | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_subset_1(sK29,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(resolution,[],[f31551,f22442]) ).

fof(f31562,plain,
    ( r1_tarski(sK22(sK28,sK21(sK29,sK27)),sK22(sK29,sK22(sK28,sK21(sK29,sK27))))
    | ~ m1_subset_1(sK29,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31561,f22440]) ).

fof(f31563,plain,
    ( r1_tarski(sK22(sK28,sK21(sK29,sK27)),sK22(sK29,sK22(sK28,sK21(sK29,sK27))))
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31562,f22441]) ).

fof(f31564,plain,
    r1_tarski(sK22(sK28,sK21(sK29,sK27)),sK22(sK29,sK22(sK28,sK21(sK29,sK27)))),
    inference(forward_subsumption_resolution,[],[f31563,f22438]) ).

fof(f31567,plain,
    ! [X0] :
      ( ~ r1_tarski(X0,sK22(sK28,sK21(sK29,sK27)))
      | r1_tarski(X0,sK22(sK29,sK22(sK28,sK21(sK29,sK27)))) ),
    inference(resolution,[],[f31564,f22770]) ).

fof(f31692,plain,
    ( r1_tarski(sK21(sK29,sK27),sK22(sK28,sK21(sK29,sK27)))
    | ~ m1_subset_1(sK27,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(resolution,[],[f31516,f22443]) ).

fof(f31693,plain,
    ( r1_tarski(sK21(sK29,sK27),sK22(sK28,sK21(sK29,sK27)))
    | ~ m1_subset_1(sK28,k1_zfmisc_1(k1_closure2(sK25,sK26)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31692,f22439]) ).

fof(f31694,plain,
    ( r1_tarski(sK21(sK29,sK27),sK22(sK28,sK21(sK29,sK27)))
    | ~ m1_pboole(sK26,sK25) ),
    inference(forward_subsumption_resolution,[],[f31693,f22440]) ).

fof(f31695,plain,
    r1_tarski(sK21(sK29,sK27),sK22(sK28,sK21(sK29,sK27))),
    inference(forward_subsumption_resolution,[],[f31694,f22438]) ).

fof(f34288,plain,
    r1_tarski(sK21(sK29,sK27),sK22(sK29,sK22(sK28,sK21(sK29,sK27)))),
    inference(resolution,[],[f31567,f31695]) ).

fof(f34291,plain,
    $false,
    inference(unit_resulting_resolution,[],[f22432,f22438,f22444,f22441,f22439,f31556,f34288]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG223+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n017.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 19:44:39 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  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
% 14.65/3.58  % (3939978)Detected formulas, will run a generic FOF schedule.
% 14.65/3.58  % (3939986)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3553288362:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 14.65/3.58  % (3939984)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=1377236803:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 14.65/3.58  % (3939985)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=695160186:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 14.65/3.58  % (3939983)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=2511512734:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 14.65/3.58  % (3939989)dis-21_1_sil=8000:lcm=predicate:random_seed=1339656926:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 14.65/3.58  % (3939988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1056874249:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 14.65/3.58  % (3939987)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=735459126:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 14.65/3.58  % (3939986)Instruction limit reached! 
% 14.65/3.58  % (3939986)------------------------------
% 14.65/3.58  % (3939986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.58  % (3939986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.58  % (3939986)CaDiCaL version: 2.1.3
% 14.65/3.58  % (3939986)Termination reason: Instruction limit
% 14.65/3.58  % (3939986)Termination phase: Saturation
% 14.65/3.58  % (3939986)Time elapsed: 0.055 s
% 14.65/3.58  % (3939986)Peak memory usage: 113 MB
% 14.65/3.58  % (3939986)Instructions burned: 111 (million)
% 14.65/3.58  % (3939988)Instruction limit reached! 
% 14.65/3.58  % (3939988)------------------------------
% 14.65/3.58  % (3939988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.58  % (3939988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.58  % (3939988)CaDiCaL version: 2.1.3
% 14.65/3.58  % (3939988)Termination reason: Instruction limit
% 14.65/3.58  % (3939988)Termination phase: Property scanning
% 14.65/3.58  % (3939988)Time elapsed: 0.061 s
% 14.65/3.58  % (3939988)Peak memory usage: 108 MB
% 14.65/3.58  % (3939988)Instructions burned: 141 (million)
% 14.65/3.58  % (3939989)Instruction limit reached! 
% 14.65/3.58  % (3939989)------------------------------
% 14.65/3.58  % (3939989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.58  % (3939989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.58  % (3939989)CaDiCaL version: 2.1.3
% 14.65/3.58  % (3939989)Termination reason: Instruction limit
% 14.65/3.58  % (3939989)Termination phase: SInE selection
% 14.65/3.58  % (3939989)Time elapsed: 0.088 s
% 14.65/3.58  % (3939989)Peak memory usage: 108 MB
% 14.65/3.58  % (3939989)Instructions burned: 129 (million)
% 14.65/3.58  % (3939987)Instruction limit reached! 
% 14.65/3.58  % (3939987)------------------------------
% 14.65/3.58  % (3939987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.58  % (3939987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.58  % (3939987)CaDiCaL version: 2.1.3
% 14.65/3.58  % (3939987)Termination reason: Instruction limit
% 14.65/3.58  % (3939987)Termination phase: Property scanning
% 14.65/3.58  % (3939987)Time elapsed: 0.097 s
% 14.65/3.58  % (3939987)Peak memory usage: 110 MB
% 14.65/3.58  % (3939987)Instructions burned: 119 (million)
% 14.65/3.58  % (3939997)lrs+10_1_sil=8000:sp=occurrence:random_seed=213952981:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 14.65/3.58  % (3939998)lrs+10_1_sil=32000:urr=on:br=off:random_seed=477455029:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 14.65/3.58  % (3939997)Instruction limit reached! 
% 14.65/3.58  % (3939997)------------------------------
% 14.65/3.58  % (3939997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.58  % (3939997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.58  % (3939997)CaDiCaL version: 2.1.3
% 14.65/3.58  % (3939997)Termination reason: Instruction limit
% 16.91/4.18  % (3939997)Termination phase: Saturation
% 16.91/4.18  % (3939997)Time elapsed: 0.122 s
% 16.91/4.18  % (3939997)Peak memory usage: 115 MB
% 16.91/4.18  % (3939997)Instructions burned: 285 (million)
% 16.91/4.18  % (3939999)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3356255539:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 16.91/4.18  % (3940000)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=3616095307:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 16.91/4.18  % (3939998)Instruction limit reached! 
% 16.91/4.18  % (3939998)------------------------------
% 16.91/4.18  % (3939998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3939998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3939998)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3939998)Termination reason: Instruction limit
% 16.91/4.18  % (3939998)Termination phase: Property scanning
% 16.91/4.18  % (3939998)Time elapsed: 0.068 s
% 16.91/4.18  % (3939998)Peak memory usage: 108 MB
% 16.91/4.18  % (3939998)Instructions burned: 157 (million)
% 16.91/4.18  % (3939999)Refutation not found, incomplete strategy
% 16.91/4.18  % (3939999)------------------------------
% 16.91/4.18  % (3939999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3939999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3939999)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3939999)Termination reason: Refutation not found, incomplete strategy
% 16.91/4.18  % (3939999)Time elapsed: 0.093 s
% 16.91/4.18  % (3939999)Peak memory usage: 113 MB
% 16.91/4.18  % (3939999)Instructions burned: 103 (million)
% 16.91/4.18  % (3940003)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3568087890:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 16.91/4.18  % (3940000)Instruction limit reached! 
% 16.91/4.18  % (3940000)------------------------------
% 16.91/4.18  % (3940000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940000)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940000)Termination reason: Instruction limit
% 16.91/4.18  % (3940000)Termination phase: SInE selection
% 16.91/4.18  % (3940000)Time elapsed: 0.112 s
% 16.91/4.18  % (3940000)Peak memory usage: 108 MB
% 16.91/4.18  % (3940000)Instructions burned: 248 (million)
% 16.91/4.18  % (3940006)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2061679373:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 16.91/4.18  % (3940003)Instruction limit reached! 
% 16.91/4.18  % (3940003)------------------------------
% 16.91/4.18  % (3940003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940003)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940003)Termination reason: Instruction limit
% 16.91/4.18  % (3940003)Termination phase: Saturation
% 16.91/4.18  % (3940003)Time elapsed: 0.113 s
% 16.91/4.18  % (3940003)Peak memory usage: 116 MB
% 16.91/4.18  % (3940003)Instructions burned: 296 (million)
% 16.91/4.18  % (3940008)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4043283645:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 16.91/4.18  % (3939999)------------------------------
% 16.91/4.18  % (3939999)------------------------------
% 16.91/4.18  % (3940010)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2494903559:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 16.91/4.18  % (3940008)Instruction limit reached! 
% 16.91/4.18  % (3940008)------------------------------
% 16.91/4.18  % (3940008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940008)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940008)Termination reason: Instruction limit
% 16.91/4.18  % (3940008)Termination phase: Preprocessing 1
% 16.91/4.18  % (3940008)Time elapsed: 0.101 s
% 16.91/4.18  % (3940008)Peak memory usage: 109 MB
% 16.91/4.18  % (3940008)Instructions burned: 114 (million)
% 16.91/4.18  % (3940010)Instruction limit reached! 
% 16.91/4.18  % (3940010)------------------------------
% 16.91/4.18  % (3940010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940010)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940010)Termination reason: Instruction limit
% 16.91/4.18  % (3940010)Termination phase: Preprocessing 1
% 16.91/4.18  % (3940010)Time elapsed: 0.054 s
% 16.91/4.18  % (3940010)Peak memory usage: 108 MB
% 16.91/4.18  % (3940010)Instructions burned: 128 (million)
% 16.91/4.18  % (3940013)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1961547795:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 16.91/4.18  % (3940015)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=330246331:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 16.91/4.18  % (3940014)lrs+10_1_sil=8000:sp=occurrence:random_seed=1080598115:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 16.91/4.18  % (3940013)Instruction limit reached! 
% 16.91/4.18  % (3940013)------------------------------
% 16.91/4.18  % (3940013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940013)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940013)Termination reason: Instruction limit
% 16.91/4.18  % (3940013)Termination phase: Property scanning
% 16.91/4.18  % (3940013)Time elapsed: 0.051 s
% 16.91/4.18  % (3940013)Peak memory usage: 108 MB
% 16.91/4.18  % (3940013)Instructions burned: 115 (million)
% 16.91/4.18  % (3940015)Instruction limit reached! 
% 16.91/4.18  % (3940015)------------------------------
% 16.91/4.18  % (3940015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940015)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940015)Termination reason: Instruction limit
% 16.91/4.18  % (3940015)Termination phase: Saturation
% 16.91/4.18  % (3940015)Time elapsed: 0.165 s
% 16.91/4.18  % (3940015)Peak memory usage: 116 MB
% 16.91/4.18  % (3940015)Instructions burned: 437 (million)
% 16.91/4.18  % (3940019)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2483829047:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 16.91/4.18  % (3940020)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2966155152:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 16.91/4.18  % (3940020)Instruction limit reached! 
% 16.91/4.18  % (3940020)------------------------------
% 16.91/4.18  % (3940020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940020)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940020)Termination reason: Instruction limit
% 16.91/4.18  % (3940020)Termination phase: Function definition elimination
% 16.91/4.18  % (3940020)Time elapsed: 0.114 s
% 16.91/4.18  % (3940020)Peak memory usage: 111 MB
% 16.91/4.18  % (3940020)Instructions burned: 135 (million)
% 16.91/4.18  % (3940014)Instruction limit reached! 
% 16.91/4.18  % (3940014)------------------------------
% 16.91/4.18  % (3940014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940014)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940014)Termination reason: Instruction limit
% 16.91/4.18  % (3940014)Termination phase: Saturation
% 16.91/4.18  % (3940014)Time elapsed: 0.543 s
% 16.91/4.18  % (3940014)Peak memory usage: 127 MB
% 16.91/4.18  % (3940014)Instructions burned: 907 (million)
% 16.91/4.18  % (3940023)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3908576965:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 16.91/4.18  % (3940024)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4046769807:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 16.91/4.18  % (3940006)Instruction limit reached! 
% 16.91/4.18  % (3940006)------------------------------
% 16.91/4.18  % (3940006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940006)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940006)Termination reason: Instruction limit
% 16.91/4.18  % (3940006)Termination phase: Saturation
% 16.91/4.18  % (3940006)Time elapsed: 1.285 s
% 16.91/4.18  % (3940006)Peak memory usage: 173 MB
% 16.91/4.18  % (3940006)Instructions burned: 2350 (million)
% 16.91/4.18  % (3940023)Instruction limit reached! 
% 16.91/4.18  % (3940023)------------------------------
% 16.91/4.18  % (3940023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940023)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940023)Termination reason: Instruction limit
% 16.91/4.18  % (3940023)Termination phase: Property scanning
% 16.91/4.18  % (3940023)Time elapsed: 0.432 s
% 16.91/4.18  % (3940023)Peak memory usage: 131 MB
% 16.91/4.18  % (3940023)Instructions burned: 593 (million)
% 16.91/4.18  % (3940027)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=2045064621:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 16.91/4.18  % (3940027)Instruction limit reached! 
% 16.91/4.18  % (3940027)------------------------------
% 16.91/4.18  % (3940027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940027)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940027)Termination reason: Instruction limit
% 16.91/4.18  % (3940027)Termination phase: Property scanning
% 16.91/4.18  % (3940027)Time elapsed: 0.056 s
% 16.91/4.18  % (3940027)Peak memory usage: 108 MB
% 16.91/4.18  % (3940027)Instructions burned: 126 (million)
% 16.91/4.18  % (3940028)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1003569808:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 16.91/4.18  % (3940028)Instruction limit reached! 
% 16.91/4.18  % (3940028)------------------------------
% 16.91/4.18  % (3940028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940028)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940028)Termination reason: Instruction limit
% 16.91/4.18  % (3940028)Termination phase: Property scanning
% 16.91/4.18  % (3940028)Time elapsed: 0.059 s
% 16.91/4.18  % (3940028)Peak memory usage: 108 MB
% 16.91/4.18  % (3940028)Instructions burned: 135 (million)
% 16.91/4.18  % (3940030)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1312075759:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 16.91/4.18  % (3939984)First to succeed.
% 16.91/4.18  % (3939984)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3939978"
% 16.91/4.18  % (3940032)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3830653978:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 16.91/4.18  % (3940030)Instruction limit reached! 
% 16.91/4.18  % (3940030)------------------------------
% 16.91/4.18  % (3940030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940030)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940030)Termination reason: Instruction limit
% 16.91/4.18  % (3940030)Termination phase: Saturation
% 16.91/4.18  % (3940030)Time elapsed: 0.111 s
% 16.91/4.18  % (3940030)Peak memory usage: 113 MB
% 16.91/4.18  % (3940030)Instructions burned: 143 (million)
% 16.91/4.18  % (3940019)Also succeeded, but the first one will report.
% 16.91/4.18  % (3940032)Refutation not found, incomplete strategy
% 16.91/4.18  % (3940032)------------------------------
% 16.91/4.18  % (3940032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/4.18  % (3940032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/4.18  % (3940032)CaDiCaL version: 2.1.3
% 16.91/4.18  % (3940032)Termination reason: Refutation not found, incomplete strategy
% 16.91/4.18  % (3940032)Time elapsed: 0.091 s
% 16.91/4.18  % (3940032)Peak memory usage: 113 MB
% 16.91/4.18  % (3940032)Instructions burned: 102 (million)
% 16.91/4.18  % (3939984)Refutation found. Thanks to Tanya!
% 16.91/4.18  % SZS status Theorem for theBenchmark
% 16.91/4.18  % SZS output start Proof for theBenchmark
% See solution above
% 19.85/4.38  % (3939984)------------------------------
% 19.85/4.38  % (3939984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.85/4.38  % (3939984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/4.38  % (3939984)CaDiCaL version: 2.1.3
% 19.85/4.38  % (3939984)Termination reason: Refutation
% 19.85/4.38  % (3939984)Time elapsed: 2.229 s
% 19.85/4.38  % (3939984)Peak memory usage: 232 MB
% 19.85/4.38  % (3939984)Instructions burned: 4882 (million)
% 19.85/4.38  % (3939984)------------------------------
% 19.85/4.38  % (3939984)------------------------------
% 19.85/4.38  % (3939978)Success in time 3.508 s
% 19.85/4.38  % Vampire exiting
%------------------------------------------------------------------------------