TSTP Solution File: SEU340+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU340+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:33:18 EDT 2022

% Result   : Theorem 1.86s 0.59s
% Output   : Refutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  122 (  28 unt;   0 def)
%            Number of atoms       :  463 (   4 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  547 ( 206   ~; 184   |; 117   &)
%                                         (  10 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :  256 ( 223   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f861,plain,
    $false,
    inference(subsumption_resolution,[],[f860,f450]) ).

fof(f450,plain,
    ~ in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK6)),the_InternalRel(sK3)),
    inference(forward_demodulation,[],[f449,f144]) ).

fof(f144,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f449,plain,
    ~ in(unordered_pair(unordered_pair(sK4,sK6),singleton(sK4)),the_InternalRel(sK3)),
    inference(subsumption_resolution,[],[f448,f140]) ).

fof(f140,plain,
    element(sK6,the_carrier(sK3)),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( element(sK4,the_carrier(sK3))
    & related(sK3,sK4,sK5)
    & element(sK6,the_carrier(sK3))
    & related(sK3,sK5,sK6)
    & ~ related(sK3,sK4,sK6)
    & element(sK5,the_carrier(sK3))
    & rel_str(sK3)
    & transitive_relstr(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f80,f97,f96,f95,f94]) ).

fof(f94,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( element(X1,the_carrier(X0))
            & ? [X2] :
                ( ? [X3] :
                    ( related(X0,X1,X2)
                    & element(X3,the_carrier(X0))
                    & related(X0,X2,X3)
                    & ~ related(X0,X1,X3) )
                & element(X2,the_carrier(X0)) ) )
        & rel_str(X0)
        & transitive_relstr(X0) )
   => ( ? [X1] :
          ( element(X1,the_carrier(sK3))
          & ? [X2] :
              ( ? [X3] :
                  ( related(sK3,X1,X2)
                  & element(X3,the_carrier(sK3))
                  & related(sK3,X2,X3)
                  & ~ related(sK3,X1,X3) )
              & element(X2,the_carrier(sK3)) ) )
      & rel_str(sK3)
      & transitive_relstr(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ( ? [X1] :
        ( element(X1,the_carrier(sK3))
        & ? [X2] :
            ( ? [X3] :
                ( related(sK3,X1,X2)
                & element(X3,the_carrier(sK3))
                & related(sK3,X2,X3)
                & ~ related(sK3,X1,X3) )
            & element(X2,the_carrier(sK3)) ) )
   => ( element(sK4,the_carrier(sK3))
      & ? [X2] :
          ( ? [X3] :
              ( related(sK3,sK4,X2)
              & element(X3,the_carrier(sK3))
              & related(sK3,X2,X3)
              & ~ related(sK3,sK4,X3) )
          & element(X2,the_carrier(sK3)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( related(sK3,sK4,X2)
            & element(X3,the_carrier(sK3))
            & related(sK3,X2,X3)
            & ~ related(sK3,sK4,X3) )
        & element(X2,the_carrier(sK3)) )
   => ( ? [X3] :
          ( related(sK3,sK4,sK5)
          & element(X3,the_carrier(sK3))
          & related(sK3,sK5,X3)
          & ~ related(sK3,sK4,X3) )
      & element(sK5,the_carrier(sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ( ? [X3] :
        ( related(sK3,sK4,sK5)
        & element(X3,the_carrier(sK3))
        & related(sK3,sK5,X3)
        & ~ related(sK3,sK4,X3) )
   => ( related(sK3,sK4,sK5)
      & element(sK6,the_carrier(sK3))
      & related(sK3,sK5,sK6)
      & ~ related(sK3,sK4,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ? [X0] :
      ( ? [X1] :
          ( element(X1,the_carrier(X0))
          & ? [X2] :
              ( ? [X3] :
                  ( related(X0,X1,X2)
                  & element(X3,the_carrier(X0))
                  & related(X0,X2,X3)
                  & ~ related(X0,X1,X3) )
              & element(X2,the_carrier(X0)) ) )
      & rel_str(X0)
      & transitive_relstr(X0) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ related(X0,X1,X3)
                  & related(X0,X2,X3)
                  & related(X0,X1,X2)
                  & element(X3,the_carrier(X0)) )
              & element(X2,the_carrier(X0)) )
          & element(X1,the_carrier(X0)) )
      & rel_str(X0)
      & transitive_relstr(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ! [X0] :
        ( ( rel_str(X0)
          & transitive_relstr(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ! [X3] :
                    ( element(X3,the_carrier(X0))
                   => ( ( related(X0,X2,X3)
                        & related(X0,X1,X2) )
                     => related(X0,X1,X3) ) ) ) ) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ! [X0] :
      ( ( rel_str(X0)
        & transitive_relstr(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ( ( related(X0,X2,X3)
                      & related(X0,X1,X2) )
                   => related(X0,X1,X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_orders_2) ).

fof(f448,plain,
    ( ~ in(unordered_pair(unordered_pair(sK4,sK6),singleton(sK4)),the_InternalRel(sK3))
    | ~ element(sK6,the_carrier(sK3)) ),
    inference(subsumption_resolution,[],[f447,f136]) ).

fof(f136,plain,
    rel_str(sK3),
    inference(cnf_transformation,[],[f98]) ).

fof(f447,plain,
    ( ~ rel_str(sK3)
    | ~ in(unordered_pair(unordered_pair(sK4,sK6),singleton(sK4)),the_InternalRel(sK3))
    | ~ element(sK6,the_carrier(sK3)) ),
    inference(subsumption_resolution,[],[f444,f142]) ).

fof(f142,plain,
    element(sK4,the_carrier(sK3)),
    inference(cnf_transformation,[],[f98]) ).

fof(f444,plain,
    ( ~ in(unordered_pair(unordered_pair(sK4,sK6),singleton(sK4)),the_InternalRel(sK3))
    | ~ element(sK4,the_carrier(sK3))
    | ~ rel_str(sK3)
    | ~ element(sK6,the_carrier(sK3)) ),
    inference(resolution,[],[f179,f138]) ).

fof(f138,plain,
    ~ related(sK3,sK4,sK6),
    inference(cnf_transformation,[],[f98]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( related(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0)
      | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X0))
      | ~ element(X1,the_carrier(X0)) ),
    inference(definition_unfolding,[],[f151,f177]) ).

fof(f177,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | related(X0,X1,X2)
      | ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( ( in(ordered_pair(X1,X2),the_InternalRel(X0))
                  | ~ related(X0,X1,X2) )
                & ( related(X0,X1,X2)
                  | ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( in(ordered_pair(X1,X2),the_InternalRel(X0))
              <=> related(X0,X1,X2) ) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( in(ordered_pair(X1,X2),the_InternalRel(X0))
              <=> related(X0,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).

fof(f860,plain,
    in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK6)),the_InternalRel(sK3)),
    inference(forward_demodulation,[],[f859,f144]) ).

fof(f859,plain,
    in(unordered_pair(unordered_pair(sK4,sK6),singleton(sK4)),the_InternalRel(sK3)),
    inference(subsumption_resolution,[],[f854,f664]) ).

fof(f664,plain,
    in(sK6,the_carrier(sK3)),
    inference(resolution,[],[f306,f609]) ).

fof(f609,plain,
    in(unordered_pair(singleton(sK5),unordered_pair(sK5,sK6)),cartesian_product2(the_carrier(sK3),the_carrier(sK3))),
    inference(resolution,[],[f607,f424]) ).

fof(f424,plain,
    in(unordered_pair(singleton(sK5),unordered_pair(sK5,sK6)),the_InternalRel(sK3)),
    inference(forward_demodulation,[],[f423,f144]) ).

fof(f423,plain,
    in(unordered_pair(unordered_pair(sK5,sK6),singleton(sK5)),the_InternalRel(sK3)),
    inference(subsumption_resolution,[],[f422,f136]) ).

fof(f422,plain,
    ( ~ rel_str(sK3)
    | in(unordered_pair(unordered_pair(sK5,sK6),singleton(sK5)),the_InternalRel(sK3)) ),
    inference(subsumption_resolution,[],[f421,f140]) ).

fof(f421,plain,
    ( ~ element(sK6,the_carrier(sK3))
    | in(unordered_pair(unordered_pair(sK5,sK6),singleton(sK5)),the_InternalRel(sK3))
    | ~ rel_str(sK3) ),
    inference(subsumption_resolution,[],[f415,f137]) ).

fof(f137,plain,
    element(sK5,the_carrier(sK3)),
    inference(cnf_transformation,[],[f98]) ).

fof(f415,plain,
    ( ~ element(sK5,the_carrier(sK3))
    | ~ rel_str(sK3)
    | ~ element(sK6,the_carrier(sK3))
    | in(unordered_pair(unordered_pair(sK5,sK6),singleton(sK5)),the_InternalRel(sK3)) ),
    inference(resolution,[],[f178,f139]) ).

fof(f139,plain,
    related(sK3,sK5,sK6),
    inference(cnf_transformation,[],[f98]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,X1,X2)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X0))
      | ~ rel_str(X0) ),
    inference(definition_unfolding,[],[f152,f177]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | in(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ related(X0,X1,X2) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f607,plain,
    ! [X0] :
      ( ~ in(X0,the_InternalRel(sK3))
      | in(X0,cartesian_product2(the_carrier(sK3),the_carrier(sK3))) ),
    inference(subsumption_resolution,[],[f606,f598]) ).

fof(f598,plain,
    ! [X1] :
      ( ~ empty(cartesian_product2(the_carrier(sK3),the_carrier(sK3)))
      | ~ in(X1,the_InternalRel(sK3)) ),
    inference(resolution,[],[f595,f162]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X1))
      | ~ in(X0,X2)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X1))
      | ~ empty(X1)
      | ~ in(X0,X2) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ~ ( element(X2,powerset(X1))
        & in(X0,X2)
        & empty(X1) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X2,X1] :
      ~ ( in(X0,X1)
        & element(X1,powerset(X2))
        & empty(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).

fof(f595,plain,
    element(the_InternalRel(sK3),powerset(cartesian_product2(the_carrier(sK3),the_carrier(sK3)))),
    inference(resolution,[],[f297,f136]) ).

fof(f297,plain,
    ! [X2] :
      ( ~ rel_str(X2)
      | element(the_InternalRel(X2),powerset(cartesian_product2(the_carrier(X2),the_carrier(X2)))) ),
    inference(resolution,[],[f164,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( rel_str(X0)
     => relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X2,X0,X1)
      | element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ~ relation_of2_as_subset(X2,X0,X1)
      | element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X2,X1,X0] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(f606,plain,
    ! [X0] :
      ( ~ in(X0,the_InternalRel(sK3))
      | in(X0,cartesian_product2(the_carrier(sK3),the_carrier(sK3)))
      | empty(cartesian_product2(the_carrier(sK3),the_carrier(sK3))) ),
    inference(resolution,[],[f597,f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | in(X1,X0)
      | empty(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( empty(X0)
      | in(X1,X0)
      | ~ element(X1,X0) ),
    inference(rectify,[],[f64]) ).

fof(f64,plain,
    ! [X1,X0] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X1,X0] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

fof(f597,plain,
    ! [X0] :
      ( element(X0,cartesian_product2(the_carrier(sK3),the_carrier(sK3)))
      | ~ in(X0,the_InternalRel(sK3)) ),
    inference(resolution,[],[f595,f172]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(rectify,[],[f76]) ).

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

fof(f75,plain,
    ! [X0,X1,X2] :
      ( element(X0,X1)
      | ~ in(X0,X2)
      | ~ element(X2,powerset(X1)) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,X2)
        & element(X2,powerset(X1)) )
     => element(X0,X1) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X2,X1] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).

fof(f306,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
      | in(X1,X3) ),
    inference(superposition,[],[f185,f144]) ).

fof(f185,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),cartesian_product2(X1,X0))
      | in(X2,X0) ),
    inference(definition_unfolding,[],[f166,f177]) ).

fof(f166,plain,
    ! [X2,X3,X0,X1] :
      ( in(X2,X0)
      | ~ in(ordered_pair(X3,X2),cartesian_product2(X1,X0)) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3] :
      ( ( in(ordered_pair(X3,X2),cartesian_product2(X1,X0))
        | ~ in(X2,X0)
        | ~ in(X3,X1) )
      & ( ( in(X2,X0)
          & in(X3,X1) )
        | ~ in(ordered_pair(X3,X2),cartesian_product2(X1,X0)) ) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ! [X3,X0,X1,X2] :
      ( ( in(ordered_pair(X2,X1),cartesian_product2(X0,X3))
        | ~ in(X1,X3)
        | ~ in(X2,X0) )
      & ( ( in(X1,X3)
          & in(X2,X0) )
        | ~ in(ordered_pair(X2,X1),cartesian_product2(X0,X3)) ) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X3,X0,X1,X2] :
      ( ( in(ordered_pair(X2,X1),cartesian_product2(X0,X3))
        | ~ in(X1,X3)
        | ~ in(X2,X0) )
      & ( ( in(X1,X3)
          & in(X2,X0) )
        | ~ in(ordered_pair(X2,X1),cartesian_product2(X0,X3)) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X3,X0,X1,X2] :
      ( in(ordered_pair(X2,X1),cartesian_product2(X0,X3))
    <=> ( in(X1,X3)
        & in(X2,X0) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X2,X1,X0,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X1,X3)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f854,plain,
    ( ~ in(sK6,the_carrier(sK3))
    | in(unordered_pair(unordered_pair(sK4,sK6),singleton(sK4)),the_InternalRel(sK3)) ),
    inference(resolution,[],[f844,f424]) ).

fof(f844,plain,
    ! [X0] :
      ( ~ in(unordered_pair(singleton(sK5),unordered_pair(sK5,X0)),the_InternalRel(sK3))
      | ~ in(X0,the_carrier(sK3))
      | in(unordered_pair(unordered_pair(sK4,X0),singleton(sK4)),the_InternalRel(sK3)) ),
    inference(superposition,[],[f839,f144]) ).

fof(f839,plain,
    ! [X0] :
      ( ~ in(unordered_pair(unordered_pair(sK5,X0),singleton(sK5)),the_InternalRel(sK3))
      | in(unordered_pair(unordered_pair(sK4,X0),singleton(sK4)),the_InternalRel(sK3))
      | ~ in(X0,the_carrier(sK3)) ),
    inference(subsumption_resolution,[],[f838,f669]) ).

fof(f669,plain,
    in(sK4,the_carrier(sK3)),
    inference(resolution,[],[f663,f223]) ).

fof(f223,plain,
    ! [X1] :
      ( ~ in(X1,the_carrier(sK3))
      | in(sK4,the_carrier(sK3)) ),
    inference(resolution,[],[f211,f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ~ ( empty(X0)
        & in(X1,X0) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X1,X0] :
      ~ ( in(X0,X1)
        & empty(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

fof(f211,plain,
    ( empty(the_carrier(sK3))
    | in(sK4,the_carrier(sK3)) ),
    inference(resolution,[],[f132,f142]) ).

fof(f663,plain,
    in(sK5,the_carrier(sK3)),
    inference(resolution,[],[f306,f608]) ).

fof(f608,plain,
    in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK5)),cartesian_product2(the_carrier(sK3),the_carrier(sK3))),
    inference(resolution,[],[f607,f420]) ).

fof(f420,plain,
    in(unordered_pair(singleton(sK4),unordered_pair(sK4,sK5)),the_InternalRel(sK3)),
    inference(forward_demodulation,[],[f419,f144]) ).

fof(f419,plain,
    in(unordered_pair(unordered_pair(sK4,sK5),singleton(sK4)),the_InternalRel(sK3)),
    inference(subsumption_resolution,[],[f418,f136]) ).

fof(f418,plain,
    ( in(unordered_pair(unordered_pair(sK4,sK5),singleton(sK4)),the_InternalRel(sK3))
    | ~ rel_str(sK3) ),
    inference(subsumption_resolution,[],[f417,f142]) ).

fof(f417,plain,
    ( ~ element(sK4,the_carrier(sK3))
    | ~ rel_str(sK3)
    | in(unordered_pair(unordered_pair(sK4,sK5),singleton(sK4)),the_InternalRel(sK3)) ),
    inference(subsumption_resolution,[],[f416,f137]) ).

fof(f416,plain,
    ( ~ element(sK5,the_carrier(sK3))
    | in(unordered_pair(unordered_pair(sK4,sK5),singleton(sK4)),the_InternalRel(sK3))
    | ~ rel_str(sK3)
    | ~ element(sK4,the_carrier(sK3)) ),
    inference(resolution,[],[f178,f141]) ).

fof(f141,plain,
    related(sK3,sK4,sK5),
    inference(cnf_transformation,[],[f98]) ).

fof(f838,plain,
    ! [X0] :
      ( ~ in(X0,the_carrier(sK3))
      | in(unordered_pair(unordered_pair(sK4,X0),singleton(sK4)),the_InternalRel(sK3))
      | ~ in(unordered_pair(unordered_pair(sK5,X0),singleton(sK5)),the_InternalRel(sK3))
      | ~ in(sK4,the_carrier(sK3)) ),
    inference(subsumption_resolution,[],[f832,f663]) ).

fof(f832,plain,
    ! [X0] :
      ( in(unordered_pair(unordered_pair(sK4,X0),singleton(sK4)),the_InternalRel(sK3))
      | ~ in(unordered_pair(unordered_pair(sK5,X0),singleton(sK5)),the_InternalRel(sK3))
      | ~ in(sK5,the_carrier(sK3))
      | ~ in(sK4,the_carrier(sK3))
      | ~ in(X0,the_carrier(sK3)) ),
    inference(resolution,[],[f826,f420]) ).

fof(f826,plain,
    ! [X2,X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),the_InternalRel(sK3))
      | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(sK3))
      | ~ in(X2,the_carrier(sK3))
      | ~ in(X1,the_carrier(sK3))
      | in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),the_InternalRel(sK3))
      | ~ in(X0,the_carrier(sK3)) ),
    inference(superposition,[],[f818,f144]) ).

fof(f818,plain,
    ! [X2,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK3))
      | ~ in(X0,the_carrier(sK3))
      | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(sK3))
      | ~ in(X1,the_carrier(sK3))
      | ~ in(X2,the_carrier(sK3))
      | in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),the_InternalRel(sK3)) ),
    inference(resolution,[],[f811,f595]) ).

fof(f811,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ element(the_InternalRel(sK3),powerset(cartesian_product2(X3,X4)))
      | ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),the_InternalRel(sK3))
      | ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),the_InternalRel(sK3))
      | ~ in(X0,the_carrier(sK3))
      | in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),the_InternalRel(sK3))
      | ~ in(X2,the_carrier(sK3))
      | ~ in(X1,the_carrier(sK3)) ),
    inference(resolution,[],[f451,f255]) ).

fof(f255,plain,
    is_transitive_in(the_InternalRel(sK3),the_carrier(sK3)),
    inference(subsumption_resolution,[],[f252,f136]) ).

fof(f252,plain,
    ( ~ rel_str(sK3)
    | is_transitive_in(the_InternalRel(sK3),the_carrier(sK3)) ),
    inference(resolution,[],[f149,f135]) ).

fof(f135,plain,
    transitive_relstr(sK3),
    inference(cnf_transformation,[],[f98]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ transitive_relstr(X0)
      | ~ rel_str(X0)
      | is_transitive_in(the_InternalRel(X0),the_carrier(X0)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( ( is_transitive_in(the_InternalRel(X0),the_carrier(X0))
          | ~ transitive_relstr(X0) )
        & ( transitive_relstr(X0)
          | ~ is_transitive_in(the_InternalRel(X0),the_carrier(X0)) ) )
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ( is_transitive_in(the_InternalRel(X0),the_carrier(X0))
      <=> transitive_relstr(X0) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ( is_transitive_in(the_InternalRel(X0),the_carrier(X0))
      <=> transitive_relstr(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_orders_2) ).

fof(f451,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ is_transitive_in(X2,X3)
      | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X2)
      | ~ in(X0,X3)
      | in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
      | ~ element(X2,powerset(cartesian_product2(X5,X6)))
      | ~ in(X4,X3)
      | ~ in(unordered_pair(unordered_pair(X0,X4),singleton(X0)),X2)
      | ~ in(X1,X3) ),
    inference(resolution,[],[f180,f175]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X2,X1,X0] :
      ( relation(X0)
      | ~ element(X0,powerset(cartesian_product2(X2,X1))) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( element(X0,powerset(cartesian_product2(X2,X1)))
     => relation(X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(f180,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
      | ~ in(X4,X1)
      | ~ in(X2,X1)
      | ~ in(X3,X1)
      | ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
      | ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
      | ~ is_transitive_in(X0,X1) ),
    inference(definition_unfolding,[],[f160,f177,f177,f177]) ).

fof(f160,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ in(X3,X1)
      | ~ in(X2,X1)
      | in(ordered_pair(X4,X3),X0)
      | ~ in(ordered_pair(X4,X2),X0)
      | ~ in(X4,X1)
      | ~ in(ordered_pair(X2,X3),X0)
      | ~ is_transitive_in(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2,X3,X4] :
                ( ~ in(X3,X1)
                | ~ in(X2,X1)
                | in(ordered_pair(X4,X3),X0)
                | ~ in(ordered_pair(X4,X2),X0)
                | ~ in(X4,X1)
                | ~ in(ordered_pair(X2,X3),X0) )
            | ~ is_transitive_in(X0,X1) )
          & ( is_transitive_in(X0,X1)
            | ( in(sK10(X0,X1),X1)
              & in(sK9(X0,X1),X1)
              & ~ in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0)
              & in(ordered_pair(sK11(X0,X1),sK9(X0,X1)),X0)
              & in(sK11(X0,X1),X1)
              & in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f108,f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ? [X5,X6,X7] :
          ( in(X6,X1)
          & in(X5,X1)
          & ~ in(ordered_pair(X7,X6),X0)
          & in(ordered_pair(X7,X5),X0)
          & in(X7,X1)
          & in(ordered_pair(X5,X6),X0) )
     => ( in(sK10(X0,X1),X1)
        & in(sK9(X0,X1),X1)
        & ~ in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0)
        & in(ordered_pair(sK11(X0,X1),sK9(X0,X1)),X0)
        & in(sK11(X0,X1),X1)
        & in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2,X3,X4] :
                ( ~ in(X3,X1)
                | ~ in(X2,X1)
                | in(ordered_pair(X4,X3),X0)
                | ~ in(ordered_pair(X4,X2),X0)
                | ~ in(X4,X1)
                | ~ in(ordered_pair(X2,X3),X0) )
            | ~ is_transitive_in(X0,X1) )
          & ( is_transitive_in(X0,X1)
            | ? [X5,X6,X7] :
                ( in(X6,X1)
                & in(X5,X1)
                & ~ in(ordered_pair(X7,X6),X0)
                & in(ordered_pair(X7,X5),X0)
                & in(X7,X1)
                & in(ordered_pair(X5,X6),X0) ) ) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X4,X2,X3] :
                ( ~ in(X2,X1)
                | ~ in(X4,X1)
                | in(ordered_pair(X3,X2),X0)
                | ~ in(ordered_pair(X3,X4),X0)
                | ~ in(X3,X1)
                | ~ in(ordered_pair(X4,X2),X0) )
            | ~ is_transitive_in(X0,X1) )
          & ( is_transitive_in(X0,X1)
            | ? [X4,X2,X3] :
                ( in(X2,X1)
                & in(X4,X1)
                & ~ in(ordered_pair(X3,X2),X0)
                & in(ordered_pair(X3,X4),X0)
                & in(X3,X1)
                & in(ordered_pair(X4,X2),X0) ) ) ) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X4,X2,X3] :
              ( ~ in(X2,X1)
              | ~ in(X4,X1)
              | in(ordered_pair(X3,X2),X0)
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(X3,X1)
              | ~ in(ordered_pair(X4,X2),X0) )
        <=> is_transitive_in(X0,X1) ) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X2,X4,X3] :
              ( in(ordered_pair(X3,X2),X0)
              | ~ in(X4,X1)
              | ~ in(X3,X1)
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(ordered_pair(X4,X2),X0)
              | ~ in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X2,X4,X3] :
              ( ( in(X4,X1)
                & in(X3,X1)
                & in(ordered_pair(X3,X4),X0)
                & in(ordered_pair(X4,X2),X0)
                & in(X2,X1) )
             => in(ordered_pair(X3,X2),X0) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_transitive_in(X0,X1)
        <=> ! [X4,X2,X3] :
              ( ( in(X4,X1)
                & in(ordered_pair(X3,X4),X0)
                & in(X2,X1)
                & in(ordered_pair(X2,X3),X0)
                & in(X3,X1) )
             => in(ordered_pair(X2,X4),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU340+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 15:23:48 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (28811)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50  % (28818)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (28816)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  % (28814)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (28826)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (28835)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (28813)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (28838)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (28832)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (28839)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (28825)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (28830)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (28841)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (28821)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (28822)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (28842)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53  % (28812)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (28840)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (28817)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (28836)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53  % (28831)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (28827)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53  % (28823)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (28819)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (28834)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (28828)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (28824)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (28837)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (28833)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (28813)Instruction limit reached!
% 0.20/0.55  % (28813)------------------------------
% 0.20/0.55  % (28813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (28819)Instruction limit reached!
% 0.20/0.55  % (28819)------------------------------
% 0.20/0.55  % (28819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (28819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (28819)Termination reason: Unknown
% 0.20/0.55  % (28819)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (28819)Memory used [KB]: 5628
% 0.20/0.55  % (28819)Time elapsed: 0.111 s
% 0.20/0.55  % (28819)Instructions burned: 8 (million)
% 0.20/0.55  % (28819)------------------------------
% 0.20/0.55  % (28819)------------------------------
% 0.20/0.56  % (28812)Refutation not found, incomplete strategy% (28812)------------------------------
% 0.20/0.56  % (28812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (28812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (28812)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (28812)Memory used [KB]: 5628
% 0.20/0.56  % (28812)Time elapsed: 0.156 s
% 0.20/0.56  % (28812)Instructions burned: 7 (million)
% 0.20/0.56  % (28812)------------------------------
% 0.20/0.56  % (28812)------------------------------
% 0.20/0.56  % (28813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (28813)Termination reason: Unknown
% 0.20/0.56  % (28813)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (28813)Memory used [KB]: 1535
% 0.20/0.56  % (28813)Time elapsed: 0.147 s
% 0.20/0.56  % (28813)Instructions burned: 38 (million)
% 0.20/0.56  % (28813)------------------------------
% 0.20/0.56  % (28813)------------------------------
% 1.64/0.56  % (28820)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.64/0.56  % (28820)Instruction limit reached!
% 1.64/0.56  % (28820)------------------------------
% 1.64/0.56  % (28820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56  % (28820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56  % (28820)Termination reason: Unknown
% 1.64/0.56  % (28820)Termination phase: Blocked clause elimination
% 1.64/0.56  
% 1.64/0.56  % (28820)Memory used [KB]: 1023
% 1.64/0.56  % (28820)Time elapsed: 0.003 s
% 1.64/0.56  % (28820)Instructions burned: 3 (million)
% 1.64/0.56  % (28820)------------------------------
% 1.64/0.56  % (28820)------------------------------
% 1.64/0.56  % (28835)First to succeed.
% 1.64/0.57  % (28818)Instruction limit reached!
% 1.64/0.57  % (28818)------------------------------
% 1.64/0.57  % (28818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57  % (28818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57  % (28818)Termination reason: Unknown
% 1.64/0.57  % (28818)Termination phase: Finite model building SAT solving
% 1.64/0.57  
% 1.64/0.57  % (28818)Memory used [KB]: 7164
% 1.64/0.57  % (28818)Time elapsed: 0.135 s
% 1.64/0.57  % (28818)Instructions burned: 54 (million)
% 1.64/0.57  % (28818)------------------------------
% 1.64/0.57  % (28818)------------------------------
% 1.64/0.58  % (28821)Instruction limit reached!
% 1.64/0.58  % (28821)------------------------------
% 1.64/0.58  % (28821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59  % (28827)Also succeeded, but the first one will report.
% 1.86/0.59  % (28835)Refutation found. Thanks to Tanya!
% 1.86/0.59  % SZS status Theorem for theBenchmark
% 1.86/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.59  % (28835)------------------------------
% 1.86/0.59  % (28835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59  % (28835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59  % (28835)Termination reason: Refutation
% 1.86/0.59  
% 1.86/0.59  % (28835)Memory used [KB]: 1407
% 1.86/0.59  % (28835)Time elapsed: 0.150 s
% 1.86/0.59  % (28835)Instructions burned: 40 (million)
% 1.86/0.59  % (28835)------------------------------
% 1.86/0.59  % (28835)------------------------------
% 1.86/0.59  % (28810)Success in time 0.239 s
%------------------------------------------------------------------------------