↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU359+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:53:00 PM UTC 2026

% Result   : Theorem 222.53s 37.46s
% Output   : Refutation 222.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  129 (  10 unt;   6 def)
%            Number of atoms       :  673 (  46 equ)
%            Maximal formula atoms :   15 (   5 avg)
%            Number of connectives :  924 ( 380   ~; 392   |; 108   &)
%                                         (  11 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   6 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :  181 (   0 sgn 154   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1,X2] :
          ( element(X2,the_carrier(X0))
         => ( ex_sup_of_relstr_set(X0,X1)
           => ( X2 = join_on_relstr(X0,X1)
            <=> ( relstr_set_smaller(X0,X1,X2)
                & ! [X3] :
                    ( element(X3,the_carrier(X0))
                   => ( relstr_set_smaller(X0,X1,X3)
                     => related(X0,X2,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_0) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( rel_str(X0)
     => element(join_on_relstr(X0,X1),the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).

fof(f505,axiom,
    ! [X0] :
      ( ( antisymmetric_relstr(X0)
        & rel_str(X0) )
     => ! [X1] :
          ( ex_sup_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( element(X2,the_carrier(X0))
              & relstr_set_smaller(X0,X1,X2)
              & ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ( relstr_set_smaller(X0,X1,X3)
                   => related(X0,X2,X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).

fof(f571,conjecture,
    ! [X0] :
      ( ( antisymmetric_relstr(X0)
        & rel_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( ( ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) )
               => ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) ) ) )
              & ( ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) ) )
               => ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).

fof(f572,negated_conjecture,
    ~ ! [X0] :
        ( ( antisymmetric_relstr(X0)
          & rel_str(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( ( ( X1 = join_on_relstr(X0,X2)
                    & ex_sup_of_relstr_set(X0,X2) )
                 => ( relstr_set_smaller(X0,X2,X1)
                    & ! [X3] :
                        ( element(X3,the_carrier(X0))
                       => ( relstr_set_smaller(X0,X2,X3)
                         => related(X0,X1,X3) ) ) ) )
                & ( ( relstr_set_smaller(X0,X2,X1)
                    & ! [X3] :
                        ( element(X3,the_carrier(X0))
                       => ( relstr_set_smaller(X0,X2,X3)
                         => related(X0,X1,X3) ) ) )
                 => ( X1 = join_on_relstr(X0,X2)
                    & ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f571]) ).

fof(f723,plain,
    ~ ! [X0] :
        ( ( antisymmetric_relstr(X0)
          & rel_str(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( ( ( X1 = join_on_relstr(X0,X2)
                    & ex_sup_of_relstr_set(X0,X2) )
                 => ( relstr_set_smaller(X0,X2,X1)
                    & ! [X3] :
                        ( element(X3,the_carrier(X0))
                       => ( relstr_set_smaller(X0,X2,X3)
                         => related(X0,X1,X3) ) ) ) )
                & ( ( relstr_set_smaller(X0,X2,X1)
                    & ! [X4] :
                        ( element(X4,the_carrier(X0))
                       => ( relstr_set_smaller(X0,X2,X4)
                         => related(X0,X1,X4) ) ) )
                 => ( X1 = join_on_relstr(X0,X2)
                    & ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
    inference(rectify,[],[f572]) ).

fof(f943,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = join_on_relstr(X0,X1)
          <=> ( relstr_set_smaller(X0,X1,X2)
              & ! [X3] :
                  ( related(X0,X2,X3)
                  | ~ relstr_set_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) ) ) )
          | ~ ex_sup_of_relstr_set(X0,X1)
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f944,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = join_on_relstr(X0,X1)
          <=> ( relstr_set_smaller(X0,X1,X2)
              & ! [X3] :
                  ( related(X0,X2,X3)
                  | ~ relstr_set_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) ) ) )
          | ~ ex_sup_of_relstr_set(X0,X1)
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f943]) ).

fof(f961,plain,
    ! [X0,X1] :
      ( element(join_on_relstr(X0,X1),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f183]) ).

fof(f1322,plain,
    ! [X0] :
      ( ! [X1] :
          ( ex_sup_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( element(X2,the_carrier(X0))
              & relstr_set_smaller(X0,X1,X2)
              & ! [X3] :
                  ( related(X0,X2,X3)
                  | ~ relstr_set_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) ) ) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f505]) ).

fof(f1323,plain,
    ! [X0] :
      ( ! [X1] :
          ( ex_sup_of_relstr_set(X0,X1)
        <=> ? [X2] :
              ( element(X2,the_carrier(X0))
              & relstr_set_smaller(X0,X1,X2)
              & ! [X3] :
                  ( related(X0,X2,X3)
                  | ~ relstr_set_smaller(X0,X1,X3)
                  | ~ element(X3,the_carrier(X0)) ) ) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f1322]) ).

fof(f1415,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ( ~ relstr_set_smaller(X0,X2,X1)
                  | ? [X3] :
                      ( ~ related(X0,X1,X3)
                      & relstr_set_smaller(X0,X2,X3)
                      & element(X3,the_carrier(X0)) ) )
                & X1 = join_on_relstr(X0,X2)
                & ex_sup_of_relstr_set(X0,X2) )
              | ( ( join_on_relstr(X0,X2) != X1
                  | ~ ex_sup_of_relstr_set(X0,X2) )
                & relstr_set_smaller(X0,X2,X1)
                & ! [X4] :
                    ( related(X0,X1,X4)
                    | ~ relstr_set_smaller(X0,X2,X4)
                    | ~ element(X4,the_carrier(X0)) ) ) )
          & element(X1,the_carrier(X0)) )
      & antisymmetric_relstr(X0)
      & rel_str(X0) ),
    inference(ennf_transformation,[],[f723]) ).

fof(f1416,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ( ~ relstr_set_smaller(X0,X2,X1)
                  | ? [X3] :
                      ( ~ related(X0,X1,X3)
                      & relstr_set_smaller(X0,X2,X3)
                      & element(X3,the_carrier(X0)) ) )
                & X1 = join_on_relstr(X0,X2)
                & ex_sup_of_relstr_set(X0,X2) )
              | ( ( join_on_relstr(X0,X2) != X1
                  | ~ ex_sup_of_relstr_set(X0,X2) )
                & relstr_set_smaller(X0,X2,X1)
                & ! [X4] :
                    ( related(X0,X1,X4)
                    | ~ relstr_set_smaller(X0,X2,X4)
                    | ~ element(X4,the_carrier(X0)) ) ) )
          & element(X1,the_carrier(X0)) )
      & antisymmetric_relstr(X0)
      & rel_str(X0) ),
    inference(flattening,[],[f1415]) ).

fof(f1637,definition,
    ! [X1,X2,X0] :
      ( ( ( ~ relstr_set_smaller(X0,X2,X1)
          | ? [X3] :
              ( ~ related(X0,X1,X3)
              & relstr_set_smaller(X0,X2,X3)
              & element(X3,the_carrier(X0)) ) )
        & X1 = join_on_relstr(X0,X2)
        & ex_sup_of_relstr_set(X0,X2) )
      | ~ sP56(X1,X2,X0) ),
    introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).

fof(f1638,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( sP56(X1,X2,X0)
              | ( ( join_on_relstr(X0,X2) != X1
                  | ~ ex_sup_of_relstr_set(X0,X2) )
                & relstr_set_smaller(X0,X2,X1)
                & ! [X4] :
                    ( related(X0,X1,X4)
                    | ~ relstr_set_smaller(X0,X2,X4)
                    | ~ element(X4,the_carrier(X0)) ) ) )
          & element(X1,the_carrier(X0)) )
      & antisymmetric_relstr(X0)
      & rel_str(X0) ),
    inference(definition_folding,[],[f1416,f1637]) ).

fof(f1890,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = join_on_relstr(X0,X1)
              | ~ relstr_set_smaller(X0,X1,X2)
              | ? [X3] :
                  ( ~ related(X0,X2,X3)
                  & relstr_set_smaller(X0,X1,X3)
                  & element(X3,the_carrier(X0)) ) )
            & ( ( relstr_set_smaller(X0,X1,X2)
                & ! [X3] :
                    ( related(X0,X2,X3)
                    | ~ relstr_set_smaller(X0,X1,X3)
                    | ~ element(X3,the_carrier(X0)) ) )
              | join_on_relstr(X0,X1) != X2 ) )
          | ~ ex_sup_of_relstr_set(X0,X1)
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f944]) ).

fof(f1891,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = join_on_relstr(X0,X1)
              | ~ relstr_set_smaller(X0,X1,X2)
              | ? [X3] :
                  ( ~ related(X0,X2,X3)
                  & relstr_set_smaller(X0,X1,X3)
                  & element(X3,the_carrier(X0)) ) )
            & ( ( relstr_set_smaller(X0,X1,X2)
                & ! [X3] :
                    ( related(X0,X2,X3)
                    | ~ relstr_set_smaller(X0,X1,X3)
                    | ~ element(X3,the_carrier(X0)) ) )
              | join_on_relstr(X0,X1) != X2 ) )
          | ~ ex_sup_of_relstr_set(X0,X1)
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f1890]) ).

fof(f1892,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = join_on_relstr(X0,X1)
              | ~ relstr_set_smaller(X0,X1,X2)
              | ? [X3] :
                  ( ~ related(X0,X2,X3)
                  & relstr_set_smaller(X0,X1,X3)
                  & element(X3,the_carrier(X0)) ) )
            & ( ( relstr_set_smaller(X0,X1,X2)
                & ! [X4] :
                    ( related(X0,X2,X4)
                    | ~ relstr_set_smaller(X0,X1,X4)
                    | ~ element(X4,the_carrier(X0)) ) )
              | join_on_relstr(X0,X1) != X2 ) )
          | ~ ex_sup_of_relstr_set(X0,X1)
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(rectify,[],[f1891]) ).

fof(f1893,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( X2 = join_on_relstr(X0,X1)
              | ~ relstr_set_smaller(X0,X1,X2)
              | ( ~ related(X0,X2,sK180(X0,X1,X2))
                & relstr_set_smaller(X0,X1,sK180(X0,X1,X2))
                & element(sK180(X0,X1,X2),the_carrier(X0)) ) )
            & ( ( relstr_set_smaller(X0,X1,X2)
                & ! [X4] :
                    ( related(X0,X2,X4)
                    | ~ relstr_set_smaller(X0,X1,X4)
                    | ~ element(X4,the_carrier(X0)) ) )
              | join_on_relstr(X0,X1) != X2 ) )
          | ~ ex_sup_of_relstr_set(X0,X1)
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK180]),skolemize(X3,sK180(X0,X1,X2))],[f1892]) ).

fof(f2236,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ex_sup_of_relstr_set(X0,X1)
            | ! [X2] :
                ( ~ element(X2,the_carrier(X0))
                | ~ relstr_set_smaller(X0,X1,X2)
                | ? [X3] :
                    ( ~ related(X0,X2,X3)
                    & relstr_set_smaller(X0,X1,X3)
                    & element(X3,the_carrier(X0)) ) ) )
          & ( ? [X2] :
                ( element(X2,the_carrier(X0))
                & relstr_set_smaller(X0,X1,X2)
                & ! [X3] :
                    ( related(X0,X2,X3)
                    | ~ relstr_set_smaller(X0,X1,X3)
                    | ~ element(X3,the_carrier(X0)) ) )
            | ~ ex_sup_of_relstr_set(X0,X1) ) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f1323]) ).

fof(f2237,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ex_sup_of_relstr_set(X0,X1)
            | ! [X2] :
                ( ~ element(X2,the_carrier(X0))
                | ~ relstr_set_smaller(X0,X1,X2)
                | ? [X3] :
                    ( ~ related(X0,X2,X3)
                    & relstr_set_smaller(X0,X1,X3)
                    & element(X3,the_carrier(X0)) ) ) )
          & ( ? [X4] :
                ( element(X4,the_carrier(X0))
                & relstr_set_smaller(X0,X1,X4)
                & ! [X5] :
                    ( related(X0,X4,X5)
                    | ~ relstr_set_smaller(X0,X1,X5)
                    | ~ element(X5,the_carrier(X0)) ) )
            | ~ ex_sup_of_relstr_set(X0,X1) ) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(rectify,[],[f2236]) ).

fof(f2238,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ex_sup_of_relstr_set(X0,X1)
            | ! [X2] :
                ( ~ element(X2,the_carrier(X0))
                | ~ relstr_set_smaller(X0,X1,X2)
                | ( ~ related(X0,X2,sK487(X0,X1,X2))
                  & relstr_set_smaller(X0,X1,sK487(X0,X1,X2))
                  & element(sK487(X0,X1,X2),the_carrier(X0)) ) ) )
          & ( ( element(sK488(X0,X1),the_carrier(X0))
              & relstr_set_smaller(X0,X1,sK488(X0,X1))
              & ! [X5] :
                  ( related(X0,sK488(X0,X1),X5)
                  | ~ relstr_set_smaller(X0,X1,X5)
                  | ~ element(X5,the_carrier(X0)) ) )
            | ~ ex_sup_of_relstr_set(X0,X1) ) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK487,sK488]),skolemize(X3,sK487(X0,X1,X2)),skolemize(X4,sK488(X0,X1))],[f2237]) ).

fof(f2268,plain,
    ! [X1,X2,X0] :
      ( ( ( ~ relstr_set_smaller(X0,X2,X1)
          | ? [X3] :
              ( ~ related(X0,X1,X3)
              & relstr_set_smaller(X0,X2,X3)
              & element(X3,the_carrier(X0)) ) )
        & X1 = join_on_relstr(X0,X2)
        & ex_sup_of_relstr_set(X0,X2) )
      | ~ sP56(X1,X2,X0) ),
    inference(nnf_transformation,[],[f1637]) ).

fof(f2269,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ relstr_set_smaller(X2,X1,X0)
          | ? [X3] :
              ( ~ related(X2,X0,X3)
              & relstr_set_smaller(X2,X1,X3)
              & element(X3,the_carrier(X2)) ) )
        & join_on_relstr(X2,X1) = X0
        & ex_sup_of_relstr_set(X2,X1) )
      | ~ sP56(X0,X1,X2) ),
    inference(rectify,[],[f2268]) ).

fof(f2270,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ relstr_set_smaller(X2,X1,X0)
          | ( ~ related(X2,X0,sK501(X0,X1,X2))
            & relstr_set_smaller(X2,X1,sK501(X0,X1,X2))
            & element(sK501(X0,X1,X2),the_carrier(X2)) ) )
        & join_on_relstr(X2,X1) = X0
        & ex_sup_of_relstr_set(X2,X1) )
      | ~ sP56(X0,X1,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK501]),skolemize(X3,sK501(X0,X1,X2))],[f2269]) ).

fof(f2271,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( sP56(X1,X2,X0)
              | ( ( join_on_relstr(X0,X2) != X1
                  | ~ ex_sup_of_relstr_set(X0,X2) )
                & relstr_set_smaller(X0,X2,X1)
                & ! [X3] :
                    ( related(X0,X1,X3)
                    | ~ relstr_set_smaller(X0,X2,X3)
                    | ~ element(X3,the_carrier(X0)) ) ) )
          & element(X1,the_carrier(X0)) )
      & antisymmetric_relstr(X0)
      & rel_str(X0) ),
    inference(rectify,[],[f1638]) ).

fof(f2272,plain,
    ( ( sP56(sK503,sK504,sK502)
      | ( ( sK503 != join_on_relstr(sK502,sK504)
          | ~ ex_sup_of_relstr_set(sK502,sK504) )
        & relstr_set_smaller(sK502,sK504,sK503)
        & ! [X3] :
            ( related(sK502,sK503,X3)
            | ~ relstr_set_smaller(sK502,sK504,X3)
            | ~ element(X3,the_carrier(sK502)) ) ) )
    & element(sK503,the_carrier(sK502))
    & antisymmetric_relstr(sK502)
    & rel_str(sK502) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK502,sK503,sK504]),skolemize(X0,sK502),skolemize(X1,sK503),skolemize(X2,sK504)],[f2271]) ).

fof(f2883,plain,
    ! [X2,X0,X1,X4] :
      ( related(X0,X2,X4)
      | ~ relstr_set_smaller(X0,X1,X4)
      | ~ element(X4,the_carrier(X0))
      | join_on_relstr(X0,X1) != X2
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f1893]) ).

fof(f2884,plain,
    ! [X2,X0,X1] :
      ( relstr_set_smaller(X0,X1,X2)
      | join_on_relstr(X0,X1) != X2
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f1893]) ).

fof(f2885,plain,
    ! [X2,X0,X1] :
      ( element(sK180(X0,X1,X2),the_carrier(X0))
      | ~ relstr_set_smaller(X0,X1,X2)
      | join_on_relstr(X0,X1) = X2
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f1893]) ).

fof(f2886,plain,
    ! [X2,X0,X1] :
      ( relstr_set_smaller(X0,X1,sK180(X0,X1,X2))
      | ~ relstr_set_smaller(X0,X1,X2)
      | join_on_relstr(X0,X1) = X2
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f1893]) ).

fof(f2887,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,X2,sK180(X0,X1,X2))
      | ~ relstr_set_smaller(X0,X1,X2)
      | join_on_relstr(X0,X1) = X2
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f1893]) ).

fof(f2903,plain,
    ! [X0,X1] :
      ( element(join_on_relstr(X0,X1),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f961]) ).

fof(f3934,plain,
    ! [X2,X0,X1] :
      ( element(sK487(X0,X1,X2),the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_set_smaller(X0,X1,X2)
      | ex_sup_of_relstr_set(X0,X1)
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f2238]) ).

fof(f3935,plain,
    ! [X2,X0,X1] :
      ( relstr_set_smaller(X0,X1,sK487(X0,X1,X2))
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_set_smaller(X0,X1,X2)
      | ex_sup_of_relstr_set(X0,X1)
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f2238]) ).

fof(f3936,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,X2,sK487(X0,X1,X2))
      | ~ element(X2,the_carrier(X0))
      | ~ relstr_set_smaller(X0,X1,X2)
      | ex_sup_of_relstr_set(X0,X1)
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f2238]) ).

fof(f4042,plain,
    ! [X2,X0,X1] :
      ( ~ sP56(X0,X1,X2)
      | ex_sup_of_relstr_set(X2,X1) ),
    inference(cnf_transformation,[],[f2270]) ).

fof(f4043,plain,
    ! [X2,X0,X1] :
      ( ~ sP56(X0,X1,X2)
      | join_on_relstr(X2,X1) = X0 ),
    inference(cnf_transformation,[],[f2270]) ).

fof(f4044,plain,
    ! [X2,X0,X1] :
      ( element(sK501(X0,X1,X2),the_carrier(X2))
      | ~ relstr_set_smaller(X2,X1,X0)
      | ~ sP56(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2270]) ).

fof(f4045,plain,
    ! [X2,X0,X1] :
      ( relstr_set_smaller(X2,X1,sK501(X0,X1,X2))
      | ~ relstr_set_smaller(X2,X1,X0)
      | ~ sP56(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2270]) ).

fof(f4046,plain,
    ! [X2,X0,X1] :
      ( ~ related(X2,X0,sK501(X0,X1,X2))
      | ~ relstr_set_smaller(X2,X1,X0)
      | ~ sP56(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2270]) ).

fof(f4047,plain,
    rel_str(sK502),
    inference(cnf_transformation,[],[f2272]) ).

fof(f4048,plain,
    antisymmetric_relstr(sK502),
    inference(cnf_transformation,[],[f2272]) ).

fof(f4049,plain,
    element(sK503,the_carrier(sK502)),
    inference(cnf_transformation,[],[f2272]) ).

fof(f4050,plain,
    ! [X3] :
      ( sP56(sK503,sK504,sK502)
      | related(sK502,sK503,X3)
      | ~ relstr_set_smaller(sK502,sK504,X3)
      | ~ element(X3,the_carrier(sK502)) ),
    inference(cnf_transformation,[],[f2272]) ).

fof(f4051,plain,
    ( sP56(sK503,sK504,sK502)
    | relstr_set_smaller(sK502,sK504,sK503) ),
    inference(cnf_transformation,[],[f2272]) ).

fof(f4052,plain,
    ( sP56(sK503,sK504,sK502)
    | sK503 != join_on_relstr(sK502,sK504)
    | ~ ex_sup_of_relstr_set(sK502,sK504) ),
    inference(cnf_transformation,[],[f2272]) ).

fof(f5080,plain,
    ! [X0,X1] :
      ( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(join_on_relstr(X0,X1),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f2884]) ).

fof(f5081,plain,
    ! [X0,X1,X4] :
      ( related(X0,join_on_relstr(X0,X1),X4)
      | ~ relstr_set_smaller(X0,X1,X4)
      | ~ element(X4,the_carrier(X0))
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(join_on_relstr(X0,X1),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f2883]) ).

fof(f5252,definition,
    ( spl523_5
  <=> ! [X3] :
        ( related(sK502,sK503,X3)
        | ~ element(X3,the_carrier(sK502))
        | ~ relstr_set_smaller(sK502,sK504,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl523_5])],[avatar_definition]) ).

fof(f5253,plain,
    ( ! [X3] :
        ( ~ relstr_set_smaller(sK502,sK504,X3)
        | ~ element(X3,the_carrier(sK502))
        | related(sK502,sK503,X3) )
    | ~ spl523_5 ),
    inference(avatar_component_clause,[],[f5252]) ).

fof(f5255,definition,
    ( spl523_6
  <=> sP56(sK503,sK504,sK502) ),
    introduced(definition,[new_symbols(definition,[spl523_6])],[avatar_definition]) ).

fof(f5257,plain,
    ( sP56(sK503,sK504,sK502)
    | ~ spl523_6 ),
    inference(avatar_component_clause,[],[f5255]) ).

fof(f5258,plain,
    ( spl523_5
    | spl523_6 ),
    inference(avatar_split_clause,[],[f4050,f5255,f5252]) ).

fof(f5260,definition,
    ( spl523_7
  <=> relstr_set_smaller(sK502,sK504,sK503) ),
    introduced(definition,[new_symbols(definition,[spl523_7])],[avatar_definition]) ).

fof(f5261,plain,
    ( ~ relstr_set_smaller(sK502,sK504,sK503)
    | spl523_7 ),
    inference(avatar_component_clause,[],[f5260]) ).

fof(f5262,plain,
    ( relstr_set_smaller(sK502,sK504,sK503)
    | ~ spl523_7 ),
    inference(avatar_component_clause,[],[f5260]) ).

fof(f5263,plain,
    ( spl523_7
    | spl523_6 ),
    inference(avatar_split_clause,[],[f4051,f5255,f5260]) ).

fof(f5265,definition,
    ( spl523_8
  <=> ex_sup_of_relstr_set(sK502,sK504) ),
    introduced(definition,[new_symbols(definition,[spl523_8])],[avatar_definition]) ).

fof(f5266,plain,
    ( ex_sup_of_relstr_set(sK502,sK504)
    | ~ spl523_8 ),
    inference(avatar_component_clause,[],[f5265]) ).

fof(f5267,plain,
    ( ~ ex_sup_of_relstr_set(sK502,sK504)
    | spl523_8 ),
    inference(avatar_component_clause,[],[f5265]) ).

fof(f5269,definition,
    ( spl523_9
  <=> sK503 = join_on_relstr(sK502,sK504) ),
    introduced(definition,[new_symbols(definition,[spl523_9])],[avatar_definition]) ).

fof(f5270,plain,
    ( sK503 = join_on_relstr(sK502,sK504)
    | ~ spl523_9 ),
    inference(avatar_component_clause,[],[f5269]) ).

fof(f5271,plain,
    ( sK503 != join_on_relstr(sK502,sK504)
    | spl523_9 ),
    inference(avatar_component_clause,[],[f5269]) ).

fof(f5272,plain,
    ( ~ spl523_8
    | ~ spl523_9
    | spl523_6 ),
    inference(avatar_split_clause,[],[f4052,f5255,f5269,f5265]) ).

fof(f5540,plain,
    ! [X0,X1,X4] :
      ( related(X0,join_on_relstr(X0,X1),X4)
      | ~ relstr_set_smaller(X0,X1,X4)
      | ~ element(X4,the_carrier(X0))
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ rel_str(X0) ),
    inference(forward_subsumption_resolution,[],[f5081,f2903]) ).

fof(f5541,plain,
    ! [X0,X1] :
      ( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ rel_str(X0) ),
    inference(forward_subsumption_resolution,[],[f5080,f2903]) ).

fof(f6343,plain,
    ( ex_sup_of_relstr_set(sK502,sK504)
    | ~ spl523_6 ),
    inference(resolution,[],[f4042,f5257]) ).

fof(f6344,plain,
    ( spl523_8
    | ~ spl523_6 ),
    inference(avatar_split_clause,[],[f6343,f5255,f5265]) ).

fof(f8725,plain,
    ( sK503 = join_on_relstr(sK502,sK504)
    | ~ spl523_6 ),
    inference(resolution,[],[f4043,f5257]) ).

fof(f8726,plain,
    ( spl523_9
    | ~ spl523_6 ),
    inference(avatar_split_clause,[],[f8725,f5255,f5269]) ).

fof(f19601,plain,
    ( ! [X0] :
        ( ~ relstr_set_smaller(sK502,sK504,X0)
        | ~ sP56(X0,sK504,sK502)
        | ~ element(sK501(X0,sK504,sK502),the_carrier(sK502))
        | related(sK502,sK503,sK501(X0,sK504,sK502)) )
    | ~ spl523_5 ),
    inference(resolution,[],[f4045,f5253]) ).

fof(f19602,plain,
    ( ! [X0] :
        ( related(sK502,sK503,sK501(X0,sK504,sK502))
        | ~ sP56(X0,sK504,sK502)
        | ~ relstr_set_smaller(sK502,sK504,X0) )
    | ~ spl523_5 ),
    inference(forward_subsumption_resolution,[],[f19601,f4044]) ).

fof(f38035,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK502))
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ex_sup_of_relstr_set(sK502,sK504)
        | ~ antisymmetric_relstr(sK502)
        | ~ rel_str(sK502)
        | ~ element(sK487(sK502,sK504,X0),the_carrier(sK502))
        | related(sK502,sK503,sK487(sK502,sK504,X0)) )
    | ~ spl523_5 ),
    inference(resolution,[],[f3935,f5253]) ).

fof(f49096,plain,
    ( ! [X0] :
        ( ~ relstr_set_smaller(sK502,sK504,X0)
        | join_on_relstr(sK502,sK504) = X0
        | ~ ex_sup_of_relstr_set(sK502,sK504)
        | ~ element(X0,the_carrier(sK502))
        | ~ rel_str(sK502)
        | ~ element(sK180(sK502,sK504,X0),the_carrier(sK502))
        | related(sK502,sK503,sK180(sK502,sK504,X0)) )
    | ~ spl523_5 ),
    inference(resolution,[],[f2886,f5253]) ).

fof(f49100,plain,
    ( ! [X0] :
        ( ~ relstr_set_smaller(sK502,sK504,X0)
        | join_on_relstr(sK502,sK504) = X0
        | ~ ex_sup_of_relstr_set(sK502,sK504)
        | ~ element(X0,the_carrier(sK502))
        | ~ rel_str(sK502)
        | related(sK502,sK503,sK180(sK502,sK504,X0)) )
    | ~ spl523_5 ),
    inference(forward_subsumption_resolution,[],[f49096,f2885]) ).

fof(f73947,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK502))
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ex_sup_of_relstr_set(sK502,sK504)
        | ~ antisymmetric_relstr(sK502)
        | ~ rel_str(sK502)
        | related(sK502,sK503,sK487(sK502,sK504,X0)) )
    | ~ spl523_5 ),
    inference(forward_subsumption_resolution,[],[f38035,f3934]) ).

fof(f73949,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK502))
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ~ antisymmetric_relstr(sK502)
        | ~ rel_str(sK502)
        | related(sK502,sK503,sK487(sK502,sK504,X0)) )
    | ~ spl523_5
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f73947,f5267]) ).

fof(f73951,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK502))
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ~ rel_str(sK502)
        | related(sK502,sK503,sK487(sK502,sK504,X0)) )
    | ~ spl523_5
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f73949,f4048]) ).

fof(f73953,plain,
    ( ! [X0] :
        ( related(sK502,sK503,sK487(sK502,sK504,X0))
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ~ element(X0,the_carrier(sK502)) )
    | ~ spl523_5
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f73951,f4047]) ).

fof(f74107,plain,
    ( ~ sP56(sK503,sK504,sK502)
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ sP56(sK503,sK504,sK502)
    | ~ spl523_5 ),
    inference(resolution,[],[f19602,f4046]) ).

fof(f74111,plain,
    ( ~ sP56(sK503,sK504,sK502)
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ spl523_5 ),
    inference(duplicate_literal_removal,[],[f74107]) ).

fof(f74116,plain,
    ( ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ element(sK503,the_carrier(sK502))
    | ~ element(sK503,the_carrier(sK502))
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | ex_sup_of_relstr_set(sK502,sK504)
    | ~ antisymmetric_relstr(sK502)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | spl523_8 ),
    inference(resolution,[],[f73953,f3936]) ).

fof(f74120,plain,
    ( ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ element(sK503,the_carrier(sK502))
    | ex_sup_of_relstr_set(sK502,sK504)
    | ~ antisymmetric_relstr(sK502)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | spl523_8 ),
    inference(duplicate_literal_removal,[],[f74116]) ).

fof(f74122,plain,
    ( ~ element(sK503,the_carrier(sK502))
    | ex_sup_of_relstr_set(sK502,sK504)
    | ~ antisymmetric_relstr(sK502)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_7
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f74120,f5262]) ).

fof(f74124,plain,
    ( ex_sup_of_relstr_set(sK502,sK504)
    | ~ antisymmetric_relstr(sK502)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_7
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f74122,f4049]) ).

fof(f74126,plain,
    ( ~ antisymmetric_relstr(sK502)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_7
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f74124,f5267]) ).

fof(f74127,plain,
    ( ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_7
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f74126,f4048]) ).

fof(f74128,plain,
    ( $false
    | ~ spl523_5
    | ~ spl523_7
    | spl523_8 ),
    inference(forward_subsumption_resolution,[],[f74127,f4047]) ).

fof(f74129,plain,
    ( ~ spl523_5
    | ~ spl523_7
    | spl523_8 ),
    inference(avatar_contradiction_clause,[],[f74128]) ).

fof(f74138,plain,
    ( ! [X0] :
        ( ~ relstr_set_smaller(sK502,sK504,X0)
        | join_on_relstr(sK502,sK504) = X0
        | ~ element(X0,the_carrier(sK502))
        | ~ rel_str(sK502)
        | related(sK502,sK503,sK180(sK502,sK504,X0)) )
    | ~ spl523_5
    | ~ spl523_8 ),
    inference(forward_subsumption_resolution,[],[f49100,f5266]) ).

fof(f74141,plain,
    ( ! [X0] :
        ( related(sK502,sK503,sK180(sK502,sK504,X0))
        | join_on_relstr(sK502,sK504) = X0
        | ~ element(X0,the_carrier(sK502))
        | ~ relstr_set_smaller(sK502,sK504,X0) )
    | ~ spl523_5
    | ~ spl523_8 ),
    inference(forward_subsumption_resolution,[],[f74138,f4047]) ).

fof(f74547,plain,
    ( sK503 = join_on_relstr(sK502,sK504)
    | ~ element(sK503,the_carrier(sK502))
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | sK503 = join_on_relstr(sK502,sK504)
    | ~ ex_sup_of_relstr_set(sK502,sK504)
    | ~ element(sK503,the_carrier(sK502))
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_8 ),
    inference(resolution,[],[f74141,f2887]) ).

fof(f74551,plain,
    ( sK503 = join_on_relstr(sK502,sK504)
    | ~ element(sK503,the_carrier(sK502))
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ ex_sup_of_relstr_set(sK502,sK504)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_8 ),
    inference(duplicate_literal_removal,[],[f74547]) ).

fof(f74553,plain,
    ( ~ element(sK503,the_carrier(sK502))
    | ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ ex_sup_of_relstr_set(sK502,sK504)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_8
    | spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74551,f5271]) ).

fof(f74555,plain,
    ( ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ ex_sup_of_relstr_set(sK502,sK504)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_8
    | spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74553,f4049]) ).

fof(f74557,plain,
    ( ~ ex_sup_of_relstr_set(sK502,sK504)
    | ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_7
    | ~ spl523_8
    | spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74555,f5262]) ).

fof(f74558,plain,
    ( ~ rel_str(sK502)
    | ~ spl523_5
    | ~ spl523_7
    | ~ spl523_8
    | spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74557,f5266]) ).

fof(f74559,plain,
    ( $false
    | ~ spl523_5
    | ~ spl523_7
    | ~ spl523_8
    | spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74558,f4047]) ).

fof(f74560,plain,
    ( ~ spl523_5
    | ~ spl523_7
    | ~ spl523_8
    | spl523_9 ),
    inference(avatar_contradiction_clause,[],[f74559]) ).

fof(f74561,plain,
    ( ~ relstr_set_smaller(sK502,sK504,sK503)
    | ~ spl523_5
    | ~ spl523_6 ),
    inference(forward_subsumption_resolution,[],[f74111,f5257]) ).

fof(f74562,plain,
    ( $false
    | ~ spl523_5
    | ~ spl523_6
    | ~ spl523_7 ),
    inference(forward_subsumption_resolution,[],[f74561,f5262]) ).

fof(f74563,plain,
    ( ~ spl523_5
    | ~ spl523_6
    | ~ spl523_7 ),
    inference(avatar_contradiction_clause,[],[f74562]) ).

fof(f74571,plain,
    ( ! [X0] :
        ( related(sK502,sK503,X0)
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ~ element(X0,the_carrier(sK502))
        | ~ ex_sup_of_relstr_set(sK502,sK504)
        | ~ rel_str(sK502) )
    | ~ spl523_9 ),
    inference(superposition,[],[f5540,f5270]) ).

fof(f74572,plain,
    ( relstr_set_smaller(sK502,sK504,sK503)
    | ~ ex_sup_of_relstr_set(sK502,sK504)
    | ~ rel_str(sK502)
    | ~ spl523_9 ),
    inference(superposition,[],[f5541,f5270]) ).

fof(f74574,plain,
    ( ~ ex_sup_of_relstr_set(sK502,sK504)
    | ~ rel_str(sK502)
    | spl523_7
    | ~ spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74572,f5261]) ).

fof(f74575,plain,
    ( ~ rel_str(sK502)
    | spl523_7
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74574,f5266]) ).

fof(f74576,plain,
    ( $false
    | spl523_7
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74575,f4047]) ).

fof(f74577,plain,
    ( spl523_7
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(avatar_contradiction_clause,[],[f74576]) ).

fof(f74578,plain,
    ( ! [X0] :
        ( related(sK502,sK503,X0)
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ~ element(X0,the_carrier(sK502))
        | ~ rel_str(sK502) )
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74571,f5266]) ).

fof(f74579,plain,
    ( ! [X0] :
        ( related(sK502,sK503,X0)
        | ~ relstr_set_smaller(sK502,sK504,X0)
        | ~ element(X0,the_carrier(sK502)) )
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(forward_subsumption_resolution,[],[f74578,f4047]) ).

fof(f74580,plain,
    ( spl523_5
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(avatar_split_clause,[],[f74579,f5269,f5265,f5252]) ).

cnf(s195,plain,
    ( spl523_5
    | spl523_6 ),
    inference(sat_conversion,[],[f5258]) ).

cnf(s197,plain,
    ( spl523_6
    | spl523_7 ),
    inference(sat_conversion,[],[f5263]) ).

cnf(s199,plain,
    ( spl523_6
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(sat_conversion,[],[f5272]) ).

cnf(s2258,plain,
    ( ~ spl523_6
    | spl523_8 ),
    inference(sat_conversion,[],[f6344]) ).

cnf(s3699,plain,
    ( ~ spl523_6
    | spl523_9 ),
    inference(sat_conversion,[],[f8726]) ).

cnf(s37088,plain,
    ( ~ spl523_5
    | ~ spl523_7
    | spl523_8 ),
    inference(sat_conversion,[],[f74129]) ).

cnf(s37222,plain,
    ( ~ spl523_5
    | ~ spl523_7
    | ~ spl523_8
    | spl523_9 ),
    inference(sat_conversion,[],[f74560]) ).

cnf(s37225,plain,
    ( ~ spl523_5
    | ~ spl523_6
    | ~ spl523_7 ),
    inference(sat_conversion,[],[f74563]) ).

cnf(s37229,plain,
    ( spl523_7
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(sat_conversion,[],[f74577]) ).

cnf(s37232,plain,
    ( spl523_5
    | ~ spl523_8
    | ~ spl523_9 ),
    inference(sat_conversion,[],[f74580]) ).

cnf(s37235,plain,
    spl523_5,
    inference(rat,[],[s37232,s2258,s3699,s195]) ).

cnf(s37236,plain,
    ~ spl523_6,
    inference(rat,[],[s37229,s2258,s3699,s37225,s37235]) ).

cnf(s37237,plain,
    spl523_7,
    inference(rat,[],[s197,s37236]) ).

cnf(s37238,plain,
    spl523_8,
    inference(rat,[],[s37088,s37235,s37237]) ).

cnf(s37241,plain,
    spl523_9,
    inference(rat,[],[s37222,s37237,s37235,s37238]) ).

cnf(s37242,plain,
    $false,
    inference(rat,[],[s199,s37236,s37238,s37241]) ).

fof(f74581,plain,
    $false,
    inference(avatar_sat_refutation,[],[s37242]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU359+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n009.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 04:54:15 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  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
% 8.08/1.82  % (2668592)Will run a generic schedule for satisfiability detection.
% 8.08/1.82  % (2668601)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2266070989:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.08/1.82  % (2668598)% WARNING: option uhcvi not known.
% 8.08/1.82  % (2668597)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2290415320_2999 on theBenchmark for (2999ds/0Mi)
% 8.08/1.82  % (2668598)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=287917204:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.08/1.82  % (2668599)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1854567552:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.08/1.82  % (2668600)dis+10_1_sil=32000:sp=arity:random_seed=4030279883:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.08/1.82  % (2668602)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=263114885:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.08/1.82  % (2668603)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=853247407:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.08/1.82  % (2668601)Instruction limit reached! 
% 8.08/1.82  % (2668601)------------------------------
% 8.08/1.82  % (2668601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.82  % (2668601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.82  % (2668601)CaDiCaL version: 2.1.3
% 8.08/1.82  % (2668601)Termination reason: Instruction limit
% 8.08/1.82  % (2668601)Termination phase: Blocked clause elimination
% 8.08/1.82  % (2668601)Time elapsed: 0.032 s
% 8.08/1.82  % (2668601)Peak memory usage: 14 MB
% 8.08/1.82  % (2668601)Instructions burned: 117 (million)
% 8.08/1.82  % (2668611)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=527014169:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.08/1.82  % (2668600)Instruction limit reached! 
% 8.08/1.82  % (2668600)------------------------------
% 8.08/1.82  % (2668600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.82  % (2668600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.82  % (2668600)CaDiCaL version: 2.1.3
% 8.08/1.82  % (2668600)Termination reason: Instruction limit
% 8.08/1.82  % (2668600)Termination phase: Saturation
% 8.08/1.82  % (2668600)Time elapsed: 0.057 s
% 8.08/1.82  % (2668600)Peak memory usage: 15 MB
% 8.08/1.82  % (2668600)Instructions burned: 104 (million)
% 8.08/1.82  % (2668602)Instruction limit reached! 
% 8.08/1.82  % (2668602)------------------------------
% 8.08/1.82  % (2668602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.82  % (2668602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.82  % (2668602)CaDiCaL version: 2.1.3
% 8.08/1.82  % (2668602)Termination reason: Instruction limit
% 8.08/1.82  % (2668602)Termination phase: Saturation
% 8.08/1.82  % (2668602)Time elapsed: 0.072 s
% 8.08/1.82  % (2668602)Peak memory usage: 15 MB
% 8.08/1.82  % (2668602)Instructions burned: 131 (million)
% 8.08/1.82  % (2668613)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2794697876:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.08/1.82  % (2668603)Instruction limit reached! 
% 8.08/1.82  % (2668603)------------------------------
% 8.08/1.82  % (2668603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.82  % (2668603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.82  % (2668603)CaDiCaL version: 2.1.3
% 8.08/1.82  % (2668603)Termination reason: Instruction limit
% 8.08/1.82  % (2668603)Termination phase: Saturation
% 8.08/1.82  % (2668603)Time elapsed: 0.091 s
% 8.08/1.82  % (2668603)Peak memory usage: 17 MB
% 8.08/1.82  % (2668603)Instructions burned: 159 (million)
% 8.08/1.82  % (2668614)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=4226934912:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.08/1.82  % (2668617)ott-21_1_sil=16000:fs=off:random_seed=1319785771:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.08/1.82  % TRYING [1]
% 8.08/1.82  % TRYING [2]
% 8.08/1.82  % (2668613)Instruction limit reached! 
% 8.08/1.82  % (2668613)------------------------------
% 8.08/1.82  % (2668613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.82  % (2668613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.79/6.24  % (2668613)CaDiCaL version: 2.1.3
% 40.79/6.24  % (2668613)Termination reason: Instruction limit
% 40.79/6.24  % (2668613)Termination phase: Property scanning
% 40.79/6.24  % (2668613)Time elapsed: 0.069 s
% 40.79/6.24  % (2668613)Peak memory usage: 15 MB
% 40.79/6.24  % (2668613)Instructions burned: 132 (million)
% 40.79/6.24  % (2668619)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2173695228:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 40.79/6.24  % TRYING [3]
% 40.79/6.24  % (2668611)Instruction limit reached! 
% 40.79/6.24  % (2668611)------------------------------
% 40.79/6.24  % (2668611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.79/6.24  % (2668611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.79/6.24  % (2668611)CaDiCaL version: 2.1.3
% 40.79/6.24  % (2668611)Termination reason: Instruction limit
% 40.79/6.24  % (2668611)Termination phase: Finite model building constraint generation
% 40.79/6.24  % (2668611)Time elapsed: 0.168 s
% 40.79/6.24  % (2668611)Peak memory usage: 33 MB
% 40.79/6.24  % (2668611)Instructions burned: 718 (million)
% 40.79/6.24  % (2668617)Instruction limit reached! 
% 40.79/6.24  % (2668617)------------------------------
% 40.79/6.24  % (2668617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.79/6.24  % (2668617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.79/6.24  % (2668617)CaDiCaL version: 2.1.3
% 40.79/6.24  % (2668617)Termination reason: Instruction limit
% 40.79/6.24  % (2668617)Termination phase: Saturation
% 40.79/6.24  % (2668617)Time elapsed: 0.096 s
% 40.79/6.24  % (2668617)Peak memory usage: 16 MB
% 40.79/6.24  % (2668617)Instructions burned: 182 (million)
% 40.79/6.24  % (2668621)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3521887726:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 40.79/6.24  % (2668622)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3503045173:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 40.79/6.24  % TRYING [1]
% 40.79/6.24  % TRYING [2]
% 40.79/6.24  % TRYING [1]
% 40.79/6.24  % TRYING [2]
% 40.79/6.24  % TRYING [3]
% 40.79/6.24  % (2668621)Instruction limit reached! 
% 40.79/6.24  % (2668621)------------------------------
% 40.79/6.24  % (2668621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.79/6.24  % (2668621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.79/6.24  % (2668621)CaDiCaL version: 2.1.3
% 40.79/6.24  % (2668621)Termination reason: Instruction limit
% 40.79/6.24  % (2668621)Termination phase: Finite model building SAT solving
% 40.79/6.24  % (2668621)Time elapsed: 0.228 s
% 40.79/6.24  % (2668621)Peak memory usage: 36 MB
% 40.79/6.24  % (2668621)Instructions burned: 868 (million)
% 40.79/6.24  % (2668625)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3670821411:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 40.79/6.24  % (2668614)Instruction limit reached! 
% 40.79/6.24  % (2668614)------------------------------
% 40.79/6.24  % (2668614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.79/6.24  % (2668619)Instruction limit reached! 
% 40.79/6.24  % (2668619)------------------------------
% 40.79/6.24  % (2668619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.79/6.24  % (2668619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.79/6.24  % (2668614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.79/6.24  % (2668619)CaDiCaL version: 2.1.3
% 40.79/6.24  % (2668614)CaDiCaL version: 2.1.3
% 40.79/6.24  % (2668619)Termination reason: Instruction limit
% 40.79/6.24  % (2668619)Termination phase: Saturation
% 40.79/6.24  % (2668619)Time elapsed: 0.317 s
% 40.79/6.24  % (2668614)Termination reason: Instruction limit
% 40.79/6.24  % (2668614)Termination phase: Saturation
% 40.79/6.24  % (2668619)Peak memory usage: 17 MB
% 40.79/6.24  % (2668614)Time elapsed: 0.392 s
% 40.79/6.24  % (2668619)Instructions burned: 483 (million)
% 40.79/6.24  % (2668614)Peak memory usage: 21 MB
% 40.79/6.24  % (2668614)Instructions burned: 706 (million)
% 40.79/6.24  % (2668628)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2534038175:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 40.79/6.24  % (2668627)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2165283193:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 40.79/6.24  % (2668625)Instruction limit reached! 
% 40.79/6.24  % (2668625)------------------------------
% 40.79/6.24  % (2668625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.61/12.85  % (2668625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.61/12.85  % (2668625)CaDiCaL version: 2.1.3
% 87.61/12.85  % (2668625)Termination reason: Instruction limit
% 87.61/12.85  % (2668625)Termination phase: Finite model building constraint generation
% 87.61/12.85  % (2668625)Time elapsed: 0.253 s
% 87.61/12.85  % (2668625)Peak memory usage: 81 MB
% 87.61/12.85  % (2668625)Instructions burned: 892 (million)
% 87.61/12.85  % (2668631)fmb+10_1_sil=64000:random_seed=3750205745:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 87.61/12.85  % TRYING [1]
% 87.61/12.85  % TRYING [2]
% 87.61/12.85  % (2668627)Instruction limit reached! 
% 87.61/12.85  % (2668627)------------------------------
% 87.61/12.85  % (2668627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.61/12.85  % (2668627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.61/12.85  % (2668627)CaDiCaL version: 2.1.3
% 87.61/12.85  % (2668627)Termination reason: Instruction limit
% 87.61/12.85  % (2668627)Termination phase: Saturation
% 87.61/12.85  % (2668627)Time elapsed: 0.381 s
% 87.61/12.85  % (2668627)Peak memory usage: 23 MB
% 87.61/12.85  % (2668627)Instructions burned: 693 (million)
% 87.61/12.85  % (2668628)Instruction limit reached! 
% 87.61/12.85  % (2668628)------------------------------
% 87.61/12.85  % (2668628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.61/12.85  % (2668628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.61/12.85  % (2668628)CaDiCaL version: 2.1.3
% 87.61/12.85  % (2668628)Termination reason: Instruction limit
% 87.61/12.85  % (2668628)Termination phase: Saturation
% 87.61/12.85  % (2668628)Time elapsed: 0.396 s
% 87.61/12.85  % (2668628)Peak memory usage: 22 MB
% 87.61/12.85  % (2668628)Instructions burned: 881 (million)
% 87.61/12.85  % (2668633)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3395037233:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 87.61/12.85  % (2668634)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1347611871:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 87.61/12.85  % (2668622)Instruction limit reached! 
% 87.61/12.85  % (2668622)------------------------------
% 87.61/12.85  % (2668622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.61/12.85  % (2668622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.61/12.85  % (2668622)CaDiCaL version: 2.1.3
% 87.61/12.85  % (2668622)Termination reason: Instruction limit
% 87.61/12.85  % (2668622)Termination phase: Saturation
% 87.61/12.85  % (2668622)Time elapsed: 0.740 s
% 87.61/12.85  % (2668622)Peak memory usage: 30 MB
% 87.61/12.85  % (2668622)Instructions burned: 1180 (million)
% 87.61/12.85  % TRYING [3]
% 87.61/12.85  % TRYING [4]
% 87.61/12.85  % (2668637)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=229787153:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 87.61/12.85  % (2668633)Cannot represent all propositional literals internally
% 87.61/12.85  % (2668633)Refutation not found, incomplete strategy
% 87.61/12.85  % (2668633)------------------------------
% 87.61/12.85  % (2668633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.61/12.85  % (2668633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.61/12.85  % (2668633)CaDiCaL version: 2.1.3
% 87.61/12.85  % (2668633)Termination reason: Refutation not found, incomplete strategy
% 87.61/12.85  % (2668633)Time elapsed: 0.204 s
% 87.61/12.85  % (2668633)Peak memory usage: 20 MB
% 87.61/12.85  % (2668633)Instructions burned: 408 (million)
% 87.61/12.85  % (2668633)------------------------------
% 87.61/12.85  % (2668633)------------------------------
% 87.61/12.85  % (2668639)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3152349982:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 87.61/12.85  % TRYING [8]
% 87.61/12.85  % (2668634)Instruction limit reached! 
% 87.61/12.85  % (2668634)------------------------------
% 87.61/12.85  % (2668634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 87.61/12.85  % (2668634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.61/12.85  % (2668634)CaDiCaL version: 2.1.3
% 87.61/12.85  % (2668634)Termination reason: Instruction limit
% 87.61/12.85  % (2668634)Termination phase: Finite model building constraint generation
% 87.61/12.85  % (2668634)Time elapsed: 0.391 s
% 87.61/12.85  % (2668634)Peak memory usage: 53 MB
% 87.61/12.85  % (2668634)Instructions burned: 922 (million)
% 87.61/12.85  % (2668641)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1266778925:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 188.51/27.11  % (2668641)Cannot represent all propositional literals internally
% 188.51/27.11  % (2668641)Refutation not found, incomplete strategy
% 188.51/27.11  % (2668641)------------------------------
% 188.51/27.11  % (2668641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.51/27.11  % (2668641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.51/27.11  % (2668641)CaDiCaL version: 2.1.3
% 188.51/27.11  % (2668641)Termination reason: Refutation not found, incomplete strategy
% 188.51/27.11  % (2668641)Time elapsed: 0.241 s
% 188.51/27.11  % (2668641)Peak memory usage: 21 MB
% 188.51/27.11  % (2668641)Instructions burned: 481 (million)
% 188.51/27.11  % (2668641)------------------------------
% 188.51/27.11  % (2668641)------------------------------
% 188.51/27.11  % (2668643)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1066539554:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 188.51/27.11  % (2668639)Instruction limit reached! 
% 188.51/27.11  % (2668639)------------------------------
% 188.51/27.11  % (2668639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.51/27.11  % (2668639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.51/27.11  % (2668639)CaDiCaL version: 2.1.3
% 188.51/27.11  % (2668639)Termination reason: Instruction limit
% 188.51/27.11  % (2668639)Termination phase: Saturation
% 188.51/27.11  % (2668639)Time elapsed: 0.793 s
% 188.51/27.11  % (2668639)Peak memory usage: 31 MB
% 188.51/27.11  % (2668639)Instructions burned: 1474 (million)
% 188.51/27.11  % TRYING [4]
% 188.51/27.11  % (2668645)ott-2_1_sil=16000:newcnf=on:random_seed=3960382312:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2980 on theBenchmark for (2980ds/869Mi)
% 188.51/27.11  % (2668645)Instruction limit reached! 
% 188.51/27.11  % (2668645)------------------------------
% 188.51/27.11  % (2668645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.51/27.11  % (2668645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.51/27.11  % (2668645)CaDiCaL version: 2.1.3
% 188.51/27.11  % (2668645)Termination reason: Instruction limit
% 188.51/27.11  % (2668645)Termination phase: Saturation
% 188.51/27.11  % (2668645)Time elapsed: 0.480 s
% 188.51/27.11  % (2668645)Peak memory usage: 20 MB
% 188.51/27.11  % (2668645)Instructions burned: 870 (million)
% 188.51/27.11  % (2668647)ott+10_1_sil=32000:tgt=ground:random_seed=849710988:i=5114:av=off_2975 on theBenchmark for (2975ds/5114Mi)
% 188.51/27.11  % (2668643)Instruction limit reached! 
% 188.51/27.11  % (2668643)------------------------------
% 188.51/27.11  % (2668643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.51/27.11  % (2668643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.51/27.11  % (2668643)CaDiCaL version: 2.1.3
% 188.51/27.11  % (2668643)Termination reason: Instruction limit
% 188.51/27.11  % (2668643)Termination phase: Finite model building preprocessing
% 188.51/27.11  % (2668643)Time elapsed: 1.067 s
% 188.51/27.11  % (2668643)Peak memory usage: 41 MB
% 188.51/27.11  % (2668643)Instructions burned: 2176 (million)
% 188.51/27.11  % (2668649)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1922447298:i=54282_2972 on theBenchmark for (2972ds/54282Mi)
% 188.51/27.11  % TRYING [1]
% 188.51/27.11  % TRYING [2]
% 188.51/27.11  % TRYING [3]
% 188.51/27.11  % TRYING [5]
% 188.51/27.11  % TRYING [4]
% 188.51/27.11  % (2668637)Instruction limit reached! 
% 188.51/27.11  % (2668637)------------------------------
% 188.51/27.11  % (2668637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.51/27.11  % (2668637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.51/27.11  % (2668637)CaDiCaL version: 2.1.3
% 188.51/27.11  % (2668637)Termination reason: Instruction limit
% 188.51/27.11  % (2668637)Termination phase: Saturation
% 188.51/27.11  % (2668637)Time elapsed: 3.059 s
% 188.51/27.11  % (2668637)Peak memory usage: 49 MB
% 188.51/27.11  % (2668637)Instructions burned: 5132 (million)
% 188.51/27.11  % (2668651)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1537650172:i=3512:aac=none_2958 on theBenchmark for (2958ds/3512Mi)
% 188.51/27.11  % (2668647)Instruction limit reached! 
% 188.51/27.11  % (2668647)------------------------------
% 188.51/27.11  % (2668647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.51/27.11  % (2668647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.51/27.11  % (2668647)CaDiCaL version: 2.1.3
% 188.51/27.11  % (2668647)Termination reason: Instruction limit
% 188.51/27.11  % (2668647)Termination phase: Saturation
% 188.51/27.11  % (2668647)Time elapsed: 3.277 s
% 188.51/27.11  % (2668647)Peak memory usage: 75 MB
% 188.51/27.11  % (2668647)Instructions burned: 5114 (million)
% 188.51/27.11  % (2668653)dis+21_1_sil=32000:sas=cadical:random_seed=336742501:i=3773:amm=off_2941 on theBenchmark for (2941ds/3773Mi)
% 222.53/37.46  % (2668651)Instruction limit reached! 
% 222.53/37.46  % (2668651)------------------------------
% 222.53/37.46  % (2668651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668651)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668651)Termination reason: Instruction limit
% 222.53/37.46  % (2668651)Termination phase: Saturation
% 222.53/37.46  % (2668651)Time elapsed: 2.164 s
% 222.53/37.46  % (2668651)Peak memory usage: 43 MB
% 222.53/37.46  % (2668651)Instructions burned: 3513 (million)
% 222.53/37.46  % (2668655)ott+11_1_sil=16000:gs=on:random_seed=1442550993:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2936 on theBenchmark for (2936ds/2251Mi)
% 222.53/37.46  % TRYING [5]
% 222.53/37.46  % TRYING [5]
% 222.53/37.46  % (2668631)Instruction limit reached! 
% 222.53/37.46  % (2668631)------------------------------
% 222.53/37.46  % (2668631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668631)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668631)Termination reason: Instruction limit
% 222.53/37.46  % (2668631)Termination phase: Finite model building constraint generation
% 222.53/37.46  % (2668631)Time elapsed: 5.746 s
% 222.53/37.46  % (2668631)Peak memory usage: 300 MB
% 222.53/37.46  % (2668631)Instructions burned: 22062 (million)
% 222.53/37.46  % (2668657)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3410349820:fmbsr=1.6:i=67534_2934 on theBenchmark for (2934ds/67534Mi)
% 222.53/37.46  % TRYING [7]
% 222.53/37.46  % (2668655)Instruction limit reached! 
% 222.53/37.46  % (2668655)------------------------------
% 222.53/37.46  % (2668655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668655)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668655)Termination reason: Instruction limit
% 222.53/37.46  % (2668655)Termination phase: Saturation
% 222.53/37.46  % (2668655)Time elapsed: 1.242 s
% 222.53/37.46  % (2668655)Peak memory usage: 35 MB
% 222.53/37.46  % (2668655)Instructions burned: 2252 (million)
% 222.53/37.46  % (2668659)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1164287319:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2924 on theBenchmark for (2924ds/4591Mi)
% 222.53/37.46  % (2668653)Instruction limit reached! 
% 222.53/37.46  % (2668653)------------------------------
% 222.53/37.46  % (2668653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668653)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668653)Termination reason: Instruction limit
% 222.53/37.46  % (2668653)Termination phase: Saturation
% 222.53/37.46  % (2668653)Time elapsed: 2.259 s
% 222.53/37.46  % (2668653)Peak memory usage: 47 MB
% 222.53/37.46  % (2668653)Instructions burned: 3777 (million)
% 222.53/37.46  % (2668661)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=32869008:i=29340_2919 on theBenchmark for (2919ds/29340Mi)
% 222.53/37.46  % (2668659)Instruction limit reached! 
% 222.53/37.46  % (2668659)------------------------------
% 222.53/37.46  % (2668659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668659)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668659)Termination reason: Instruction limit
% 222.53/37.46  % (2668659)Termination phase: Saturation
% 222.53/37.46  % (2668659)Time elapsed: 2.465 s
% 222.53/37.46  % (2668659)Peak memory usage: 67 MB
% 222.53/37.46  % (2668659)Instructions burned: 4591 (million)
% 222.53/37.46  % (2668663)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=466100137:i=5211_2899 on theBenchmark for (2899ds/5211Mi)
% 222.53/37.46  % TRYING [6]
% 222.53/37.46  % (2668663)Instruction limit reached! 
% 222.53/37.46  % (2668663)------------------------------
% 222.53/37.46  % (2668663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668663)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668663)Termination reason: Instruction limit
% 222.53/37.46  % (2668663)Termination phase: Saturation
% 222.53/37.46  % (2668663)Time elapsed: 2.320 s
% 222.53/37.46  % (2668663)Peak memory usage: 52 MB
% 222.53/37.46  % (2668663)Instructions burned: 5212 (million)
% 222.53/37.46  % (2668665)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=477725542:i=5497:nm=2_2875 on theBenchmark for (2875ds/5497Mi)
% 222.53/37.46  % TRYING [17]
% 222.53/37.46  % (2668665)Instruction limit reached! 
% 222.53/37.46  % (2668665)------------------------------
% 222.53/37.46  % (2668665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668665)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668665)Termination reason: Instruction limit
% 222.53/37.46  % (2668665)Termination phase: Finite model building constraint generation
% 222.53/37.46  % (2668665)Time elapsed: 2.001 s
% 222.53/37.46  % (2668665)Peak memory usage: 325 MB
% 222.53/37.46  % (2668665)Instructions burned: 5500 (million)
% 222.53/37.46  % (2668667)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2488181770:fmbsr=2:i=46332_2855 on theBenchmark for (2855ds/46332Mi)
% 222.53/37.46  % TRYING [15]
% 222.53/37.46  % TRYING [6]
% 222.53/37.46  % (2668657)Instruction limit reached! 
% 222.53/37.46  % (2668657)------------------------------
% 222.53/37.46  % (2668657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668657)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668657)Termination reason: Instruction limit
% 222.53/37.46  % (2668657)Termination phase: Finite model building constraint generation
% 222.53/37.46  % (2668657)Time elapsed: 12.533 s
% 222.53/37.46  % (2668657)Peak memory usage: 2864 MB
% 222.53/37.46  % (2668657)Instructions burned: 67535 (million)
% 222.53/37.46  % (2668821)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2857491938:i=14071_2806 on theBenchmark for (2806ds/14071Mi)
% 222.53/37.46  % TRYING [12]
% 222.53/37.46  % (2668821)Instruction limit reached! 
% 222.53/37.46  % (2668821)------------------------------
% 222.53/37.46  % (2668821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668821)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668821)Termination reason: Instruction limit
% 222.53/37.46  % (2668821)Termination phase: Finite model building constraint generation
% 222.53/37.46  % (2668821)Time elapsed: 2.551 s
% 222.53/37.46  % (2668821)Peak memory usage: 614 MB
% 222.53/37.46  % (2668821)Instructions burned: 14072 (million)
% 222.53/37.46  % (2668823)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2632205808:i=22565:add=on:rawr=on_2780 on theBenchmark for (2780ds/22565Mi)
% 222.53/37.46  % (2668649)Instruction limit reached! 
% 222.53/37.46  % (2668649)------------------------------
% 222.53/37.46  % (2668649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668649)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668649)Termination reason: Instruction limit
% 222.53/37.46  % (2668649)Termination phase: Finite model building constraint generation
% 222.53/37.46  % (2668649)Time elapsed: 19.220 s
% 222.53/37.46  % (2668649)Peak memory usage: 1364 MB
% 222.53/37.46  % (2668649)Instructions burned: 54289 (million)
% 222.53/37.46  % (2668825)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3000803780:i=8173:av=off_2778 on theBenchmark for (2778ds/8173Mi)
% 222.53/37.46  % (2668661)Instruction limit reached! 
% 222.53/37.46  % (2668661)------------------------------
% 222.53/37.46  % (2668661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668661)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668661)Termination reason: Instruction limit
% 222.53/37.46  % (2668661)Termination phase: Saturation
% 222.53/37.46  % (2668661)Time elapsed: 16.428 s
% 222.53/37.46  % (2668661)Peak memory usage: 604 MB
% 222.53/37.46  % (2668661)Instructions burned: 29340 (million)
% 222.53/37.46  % (2668827)dis+10_16:1_sil=16000:random_seed=3454818839:i=9155:fsr=off_2753 on theBenchmark for (2753ds/9155Mi)
% 222.53/37.46  % (2668825)Instruction limit reached! 
% 222.53/37.46  % (2668825)------------------------------
% 222.53/37.46  % (2668825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668825)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668825)Termination reason: Instruction limit
% 222.53/37.46  % (2668825)Termination phase: Saturation
% 222.53/37.46  % (2668825)Time elapsed: 4.511 s
% 222.53/37.46  % (2668825)Peak memory usage: 124 MB
% 222.53/37.46  % (2668825)Instructions burned: 8174 (million)
% 222.53/37.46  % (2668829)ott-3_8_sil=64000:random_seed=970777971:i=20139:bs=on_2732 on theBenchmark for (2732ds/20139Mi)
% 222.53/37.46  % (2668827)Instruction limit reached! 
% 222.53/37.46  % (2668827)------------------------------
% 222.53/37.46  % (2668827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668827)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668827)Termination reason: Instruction limit
% 222.53/37.46  % (2668827)Termination phase: Saturation
% 222.53/37.46  % (2668827)Time elapsed: 5.620 s
% 222.53/37.46  % (2668827)Peak memory usage: 93 MB
% 222.53/37.46  % (2668827)Instructions burned: 9155 (million)
% 222.53/37.46  % (2669091)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2249652257:fmbsr=2:i=32576_2697 on theBenchmark for (2697ds/32576Mi)
% 222.53/37.46  % TRYING [9]
% 222.53/37.46  % (2668667)Instruction limit reached! 
% 222.53/37.46  % (2668667)------------------------------
% 222.53/37.46  % (2668667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668667)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668667)Termination reason: Instruction limit
% 222.53/37.46  % (2668667)Termination phase: Finite model building constraint generation
% 222.53/37.46  % (2668667)Time elapsed: 16.105 s
% 222.53/37.46  % (2668667)Peak memory usage: 1968 MB
% 222.53/37.46  % (2668667)Instructions burned: 46333 (million)
% 222.53/37.46  % (2669093)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2359970042:i=11404_2691 on theBenchmark for (2691ds/11404Mi)
% 222.53/37.46  % (2668823)Instruction limit reached! 
% 222.53/37.46  % (2668823)------------------------------
% 222.53/37.46  % (2668823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2668823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2668823)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2668823)Termination reason: Instruction limit
% 222.53/37.46  % (2668823)Termination phase: Saturation
% 222.53/37.46  % (2668823)Time elapsed: 10.557 s
% 222.53/37.46  % (2668823)Peak memory usage: 297 MB
% 222.53/37.46  % (2668823)Instructions burned: 22566 (million)
% 222.53/37.46  % (2669095)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2763510571:i=14134_2674 on theBenchmark for (2674ds/14134Mi)
% 222.53/37.46  % (2669091)Instruction limit reached! 
% 222.53/37.46  % (2669091)------------------------------
% 222.53/37.46  % (2669091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2669091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2669091)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2669091)Termination reason: Instruction limit
% 222.53/37.46  % (2669091)Termination phase: Finite model building constraint generation
% 222.53/37.46  % (2669091)Time elapsed: 6.070 s
% 222.53/37.46  % (2669091)Peak memory usage: 1750 MB
% 222.53/37.46  % (2669091)Instructions burned: 32580 (million)
% 222.53/37.46  % (2669097)dis+33_16_sil=32000:sac=on:random_seed=2479065882:i=15851:nm=0_2634 on theBenchmark for (2634ds/15851Mi)
% 222.53/37.46  % (2669093) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2668592-2669093"...
% 222.53/37.46  % (2669093)...printing done.
% 222.53/37.46  % (2669093)Refutation found. Thanks to Tanya!
% 222.53/37.46  % SZS status Theorem for theBenchmark
% 222.53/37.46  % SZS output start Proof for theBenchmark
% See solution above
% 222.53/37.46  % (2669093)------------------------------
% 222.53/37.46  % (2669093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 222.53/37.46  % (2669093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 222.53/37.46  % (2669093)CaDiCaL version: 2.1.3
% 222.53/37.46  % (2669093)Termination reason: Refutation
% 222.53/37.46  % (2669093)Time elapsed: 5.652 s
% 222.53/37.46  % (2669093)Peak memory usage: 109 MB
% 222.53/37.46  % (2669093)Instructions burned: 8592 (million)
% 222.53/37.46  % (2668592)Success in time 37.039 s
% 222.53/37.46  % Vampire exiting
%------------------------------------------------------------------------------