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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG223+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 09:29:51 AM UTC 2026

% Result   : Theorem 1.55s 0.55s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   56 (  11 unt;   0 def)
%            Number of atoms       :  217 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  282 ( 121   ~; 112   |;  33   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  121 ( 106   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',t4_closure3) ).

fof(f2,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)],[f1]) ).

fof(f9,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/sandbox/benchmark/theBenchmark.p',d1_closure3) ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ( ( r1_tarski(X0,X1)
        & r1_tarski(X1,X2) )
     => r1_tarski(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f56,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,[],[f2]) ).

fof(f57,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,[],[f56]) ).

fof(f64,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,[],[f9]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X2) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1)
      | ~ r1_tarski(X1,X2) ),
    inference(flattening,[],[f75]) ).

fof(f85,plain,
    ( ~ r1_closure3(sK0,sK1,sK4,sK2)
    & r1_closure3(sK0,sK1,sK3,sK2)
    & r1_closure3(sK0,sK1,sK4,sK3)
    & m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
    & m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
    & m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
    & m1_pboole(sK1,sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f57]) ).

fof(f86,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,[],[f64]) ).

fof(f87,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,[],[f86]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_closure3(X0,X1,X2,X3)
                  | ( r2_hidden(sK5(X2,X3),X3)
                    & ! [X5] :
                        ( ~ r2_hidden(X5,X2)
                        | ~ r1_tarski(sK5(X2,X3),X5) ) ) )
                & ( ! [X6] :
                      ( ~ r2_hidden(X6,X3)
                      | ( r2_hidden(sK6(X2,X6),X2)
                        & r1_tarski(X6,sK6(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,[sK5,sK6]),skolemize(X4,sK5(X2,X3)),skolemize(X7,sK6(X2,X6))],[f87]) ).

fof(f105,plain,
    m1_pboole(sK1,sK0),
    inference(cnf_transformation,[],[f85]) ).

fof(f106,plain,
    m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
    inference(cnf_transformation,[],[f85]) ).

fof(f107,plain,
    m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
    inference(cnf_transformation,[],[f85]) ).

fof(f108,plain,
    m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
    inference(cnf_transformation,[],[f85]) ).

fof(f109,plain,
    r1_closure3(sK0,sK1,sK4,sK3),
    inference(cnf_transformation,[],[f85]) ).

fof(f110,plain,
    r1_closure3(sK0,sK1,sK3,sK2),
    inference(cnf_transformation,[],[f85]) ).

fof(f111,plain,
    ~ r1_closure3(sK0,sK1,sK4,sK2),
    inference(cnf_transformation,[],[f85]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1,X6] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | r1_tarski(X6,sK6(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,[],[f88]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1,X6] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | r2_hidden(sK6(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,[],[f88]) ).

fof(f120,plain,
    ! [X2,X3,X0,X1,X5] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | ~ r2_hidden(X5,X2)
      | ~ r1_tarski(sK5(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,[],[f88]) ).

fof(f121,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
      | r2_hidden(sK5(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,[],[f88]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1)
      | r1_tarski(X0,X2) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f1138,plain,
    ! [X0] :
      ( r2_hidden(sK5(X0,sK2),sK2)
      | r1_closure3(sK0,sK1,X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ m1_pboole(sK1,sK0) ),
    inference(resolution,[],[f121,f106]) ).

fof(f1149,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | r1_closure3(sK0,sK1,X0,sK2)
      | r2_hidden(sK5(X0,sK2),sK2) ),
    inference(forward_subsumption_resolution,[],[f1138,f105]) ).

fof(f1194,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,sK6(X1,X0))
      | ~ r1_closure3(sK0,sK1,X1,sK2)
      | ~ r2_hidden(X0,sK2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ m1_pboole(sK1,sK0) ),
    inference(resolution,[],[f118,f106]) ).

fof(f1195,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,sK6(X1,X0))
      | ~ r1_closure3(sK0,sK1,X1,sK3)
      | ~ r2_hidden(X0,sK3)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ m1_pboole(sK1,sK0) ),
    inference(resolution,[],[f118,f107]) ).

fof(f1203,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ r1_closure3(sK0,sK1,X1,sK3)
      | ~ r2_hidden(X0,sK3)
      | r1_tarski(X0,sK6(X1,X0)) ),
    inference(forward_subsumption_resolution,[],[f1195,f105]) ).

fof(f1204,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ r1_closure3(sK0,sK1,X1,sK2)
      | ~ r2_hidden(X0,sK2)
      | r1_tarski(X0,sK6(X1,X0)) ),
    inference(forward_subsumption_resolution,[],[f1194,f105]) ).

fof(f1301,plain,
    ! [X0,X1] :
      ( r2_hidden(sK6(X0,X1),X0)
      | ~ r1_closure3(sK0,sK1,X0,sK2)
      | ~ r2_hidden(X1,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ m1_pboole(sK1,sK0) ),
    inference(resolution,[],[f119,f106]) ).

fof(f1302,plain,
    ! [X0,X1] :
      ( r2_hidden(sK6(X0,X1),X0)
      | ~ r1_closure3(sK0,sK1,X0,sK3)
      | ~ r2_hidden(X1,sK3)
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ m1_pboole(sK1,sK0) ),
    inference(resolution,[],[f119,f107]) ).

fof(f1309,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ r1_closure3(sK0,sK1,X0,sK3)
      | ~ r2_hidden(X1,sK3)
      | r2_hidden(sK6(X0,X1),X0) ),
    inference(forward_subsumption_resolution,[],[f1302,f105]) ).

fof(f1310,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ r1_closure3(sK0,sK1,X0,sK2)
      | ~ r2_hidden(X1,sK2)
      | r2_hidden(sK6(X0,X1),X0) ),
    inference(forward_subsumption_resolution,[],[f1301,f105]) ).

fof(f1341,plain,
    ( r1_closure3(sK0,sK1,sK4,sK2)
    | r2_hidden(sK5(sK4,sK2),sK2) ),
    inference(resolution,[],[f108,f1149]) ).

fof(f1359,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ~ r1_tarski(sK5(X1,sK2),X0)
      | r1_closure3(sK0,sK1,X1,sK2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ m1_pboole(sK1,sK0) ),
    inference(resolution,[],[f120,f106]) ).

fof(f1371,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
      | ~ r1_tarski(sK5(X1,sK2),X0)
      | r1_closure3(sK0,sK1,X1,sK2)
      | ~ r2_hidden(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f1359,f105]) ).

fof(f1522,plain,
    ! [X0] :
      ( ~ r1_closure3(sK0,sK1,sK3,sK2)
      | ~ r2_hidden(X0,sK2)
      | r2_hidden(sK6(sK3,X0),sK3) ),
    inference(resolution,[],[f107,f1310]) ).

fof(f1536,plain,
    ! [X0] :
      ( r2_hidden(sK6(sK3,X0),sK3)
      | ~ r2_hidden(X0,sK2) ),
    inference(forward_subsumption_resolution,[],[f1522,f110]) ).

fof(f1564,plain,
    r2_hidden(sK5(sK4,sK2),sK2),
    inference(forward_subsumption_resolution,[],[f1341,f111]) ).

fof(f1638,plain,
    ! [X0] :
      ( ~ r1_closure3(sK0,sK1,sK4,sK3)
      | ~ r2_hidden(X0,sK3)
      | r2_hidden(sK6(sK4,X0),sK4) ),
    inference(resolution,[],[f1309,f108]) ).

fof(f1648,plain,
    ! [X0] :
      ( r2_hidden(sK6(sK4,X0),sK4)
      | ~ r2_hidden(X0,sK3) ),
    inference(forward_subsumption_resolution,[],[f1638,f109]) ).

fof(f1878,plain,
    ! [X0] :
      ( ~ r1_tarski(sK5(sK4,sK2),X0)
      | r1_closure3(sK0,sK1,sK4,sK2)
      | ~ r2_hidden(X0,sK4) ),
    inference(resolution,[],[f1371,f108]) ).

fof(f1887,plain,
    ! [X0] :
      ( ~ r1_tarski(sK5(sK4,sK2),X0)
      | ~ r2_hidden(X0,sK4) ),
    inference(forward_subsumption_resolution,[],[f1878,f111]) ).

fof(f1972,plain,
    ! [X0] :
      ( ~ r1_closure3(sK0,sK1,sK4,sK3)
      | ~ r2_hidden(X0,sK3)
      | r1_tarski(X0,sK6(sK4,X0)) ),
    inference(resolution,[],[f1203,f108]) ).

fof(f1981,plain,
    ! [X0] :
      ( r1_tarski(X0,sK6(sK4,X0))
      | ~ r2_hidden(X0,sK3) ),
    inference(forward_subsumption_resolution,[],[f1972,f109]) ).

fof(f1985,plain,
    ! [X0] :
      ( ~ r1_closure3(sK0,sK1,sK3,sK2)
      | ~ r2_hidden(X0,sK2)
      | r1_tarski(X0,sK6(sK3,X0)) ),
    inference(resolution,[],[f1204,f107]) ).

fof(f1995,plain,
    ! [X0] :
      ( r1_tarski(X0,sK6(sK3,X0))
      | ~ r2_hidden(X0,sK2) ),
    inference(forward_subsumption_resolution,[],[f1985,f110]) ).

fof(f2127,plain,
    ! [X0,X1] :
      ( r1_tarski(X1,sK6(sK4,X0))
      | ~ r1_tarski(X1,X0)
      | ~ r2_hidden(X0,sK3) ),
    inference(resolution,[],[f1981,f164]) ).

fof(f2328,plain,
    ! [X0] :
      ( ~ r1_tarski(sK5(sK4,sK2),X0)
      | ~ r2_hidden(X0,sK3)
      | ~ r2_hidden(sK6(sK4,X0),sK4) ),
    inference(resolution,[],[f2127,f1887]) ).

fof(f2329,plain,
    ! [X0] :
      ( ~ r1_tarski(sK5(sK4,sK2),X0)
      | ~ r2_hidden(X0,sK3) ),
    inference(forward_subsumption_resolution,[],[f2328,f1648]) ).

fof(f2413,plain,
    ( ~ r2_hidden(sK5(sK4,sK2),sK2)
    | ~ r2_hidden(sK6(sK3,sK5(sK4,sK2)),sK3) ),
    inference(resolution,[],[f1995,f2329]) ).

fof(f2448,plain,
    ~ r2_hidden(sK6(sK3,sK5(sK4,sK2)),sK3),
    inference(forward_subsumption_resolution,[],[f2413,f1564]) ).

fof(f2456,plain,
    ~ r2_hidden(sK5(sK4,sK2),sK2),
    inference(resolution,[],[f1536,f2448]) ).

fof(f2462,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2456,f1564]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG223+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n018.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 19:50:40 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.55/0.55  % (3698210)Will run a generic schedule for satisfiability detection.
% 1.55/0.55  % (3698218)dis+10_1_sil=32000:sp=arity:random_seed=3913674606:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.55/0.55  % (3698216)% WARNING: option uhcvi not known.
% 1.55/0.55  % (3698215)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4154568870_2999 on theBenchmark for (2999ds/0Mi)
% 1.55/0.55  % (3698216)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1906055595:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.55/0.55  % (3698217)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=829155244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.55/0.55  % (3698219)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2075492423:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.55/0.55  % (3698220)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=592572158:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.55/0.55  % (3698221)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3100468589:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.55/0.55  % TRYING [1]
% 1.55/0.55  % TRYING [2]
% 1.55/0.55  % TRYING [3]
% 1.55/0.55  % TRYING [4]
% 1.55/0.55  % TRYING [5]
% 1.55/0.55  % TRYING [6]
% 1.55/0.55  % (3698218)Instruction limit reached! 
% 1.55/0.55  % (3698218)------------------------------
% 1.55/0.55  % (3698218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698218)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698218)Termination reason: Instruction limit
% 1.55/0.55  % (3698218)Termination phase: Saturation
% 1.55/0.55  % (3698218)Time elapsed: 0.037 s
% 1.55/0.55  % (3698218)Peak memory usage: 13 MB
% 1.55/0.55  % (3698218)Instructions burned: 103 (million)
% 1.55/0.55  % (3698229)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3685581647:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.55/0.55  % TRYING [1]
% 1.55/0.55  % TRYING [2]
% 1.55/0.55  % TRYING [3]
% 1.55/0.55  % TRYING [4]
% 1.55/0.55  % TRYING [5]
% 1.55/0.55  % TRYING [6]
% 1.55/0.55  % (3698219)Instruction limit reached! 
% 1.55/0.55  % (3698219)------------------------------
% 1.55/0.55  % (3698219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698219)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698219)Termination reason: Instruction limit
% 1.55/0.55  % (3698219)Termination phase: Saturation
% 1.55/0.55  % (3698219)Time elapsed: 0.070 s
% 1.55/0.55  % (3698219)Peak memory usage: 13 MB
% 1.55/0.55  % (3698219)Instructions burned: 117 (million)
% 1.55/0.55  % TRYING [7]
% 1.55/0.55  % (3698220)Instruction limit reached! 
% 1.55/0.55  % (3698220)------------------------------
% 1.55/0.55  % (3698220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698220)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698220)Termination reason: Instruction limit
% 1.55/0.55  % (3698220)Termination phase: Saturation
% 1.55/0.55  % (3698220)Time elapsed: 0.082 s
% 1.55/0.55  % (3698220)Peak memory usage: 13 MB
% 1.55/0.55  % (3698220)Instructions burned: 131 (million)
% 1.55/0.55  % (3698231)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1944210510:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.55/0.55  % TRYING [7]
% 1.55/0.55  % (3698221)Instruction limit reached! 
% 1.55/0.55  % (3698221)------------------------------
% 1.55/0.55  % (3698221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698221)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698221)Termination reason: Instruction limit
% 1.55/0.55  % (3698221)Termination phase: Saturation
% 1.55/0.55  % (3698221)Time elapsed: 0.099 s
% 1.55/0.55  % (3698221)Peak memory usage: 13 MB
% 1.55/0.55  % (3698221)Instructions burned: 159 (million)
% 1.55/0.55  % (3698232)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=587161298:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.55/0.55  % (3698234)ott-21_1_sil=16000:fs=off:random_seed=480831469:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.55/0.55  % (3698231)Instruction limit reached! 
% 1.55/0.55  % (3698231)------------------------------
% 1.55/0.55  % (3698231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698231)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698231)Termination reason: Instruction limit
% 1.55/0.55  % (3698231)Termination phase: Saturation
% 1.55/0.55  % (3698231)Time elapsed: 0.082 s
% 1.55/0.55  % (3698231)Peak memory usage: 13 MB
% 1.55/0.55  % (3698231)Instructions burned: 132 (million)
% 1.55/0.55  % (3698237)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3673430060:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.55/0.55  % (3698234)Instruction limit reached! 
% 1.55/0.55  % (3698234)------------------------------
% 1.55/0.55  % (3698234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698234)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698234)Termination reason: Instruction limit
% 1.55/0.55  % (3698234)Termination phase: Saturation
% 1.55/0.55  % (3698234)Time elapsed: 0.093 s
% 1.55/0.55  % (3698234)Peak memory usage: 12 MB
% 1.55/0.55  % (3698234)Instructions burned: 181 (million)
% 1.55/0.55  % (3698229)Instruction limit reached! 
% 1.55/0.55  % (3698229)------------------------------
% 1.55/0.55  % (3698229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698229)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698229)Termination reason: Instruction limit
% 1.55/0.55  % (3698229)Termination phase: Finite model building SAT solving
% 1.55/0.55  % (3698229)Time elapsed: 0.186 s
% 1.55/0.55  % (3698229)Peak memory usage: 23 MB
% 1.55/0.55  % (3698229)Instructions burned: 715 (million)
% 1.55/0.55  % (3698239)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1345737239:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.55/0.55  % TRYING [1]
% 1.55/0.55  % TRYING [2]
% 1.55/0.55  % (3698240)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1393459058:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.55/0.55  % TRYING [3]
% 1.55/0.55  % TRYING [4]
% 1.55/0.55  % (3698237) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3698210-3698237"...
% 1.55/0.55  % (3698237)...printing done.
% 1.55/0.55  % (3698237)Refutation found. Thanks to Tanya!
% 1.55/0.55  % SZS status Theorem for theBenchmark
% 1.55/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.55  % (3698237)------------------------------
% 1.55/0.55  % (3698237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.55  % (3698237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.55  % (3698237)CaDiCaL version: 2.1.3
% 1.55/0.55  % (3698237)Termination reason: Refutation
% 1.55/0.55  % (3698237)Time elapsed: 0.063 s
% 1.55/0.55  % (3698237)Peak memory usage: 12 MB
% 1.55/0.55  % (3698237)Instructions burned: 90 (million)
% 1.55/0.55  % (3698210)Success in time 0.3 s
% 1.55/0.55  % Vampire exiting
%------------------------------------------------------------------------------