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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU272+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 12:48:06 PM UTC 2026

% Result   : Theorem 16.13s 3.24s
% Output   : Refutation 16.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  177 (  22 unt;  13 def)
%            Number of atoms       :  736 ( 128 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  859 ( 300   ~; 404   |; 127   &)
%                                         (  16 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  10 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   4 con; 0-3 aty)
%            Number of variables   :  216 (   0 sgn 148   !;  68   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,axiom,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).

fof(f137,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( ~ empty(succ(X0))
        & epsilon_transitive(succ(X0))
        & epsilon_connected(succ(X0))
        & ordinal(succ(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_ordinal1) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( ! [X2,X3,X4] :
            ( ( X2 = X3
              & ? [X5] :
                  ( ordinal(X5)
                  & X3 = X5
                  & in(X5,X0) )
              & X2 = X4
              & ? [X6] :
                  ( ordinal(X6)
                  & X4 = X6
                  & in(X6,X0) ) )
           => X3 = X4 )
       => ? [X2] :
          ! [X3] :
            ( in(X3,X2)
          <=> ? [X4] :
                ( in(X4,succ(X1))
                & X4 = X3
                & ? [X7] :
                    ( ordinal(X7)
                    & X3 = X7
                    & in(X7,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e8_6__wellord2__1) ).

fof(f199,conjecture,
    ! [X0,X1] :
      ( ordinal(X1)
     => ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,succ(X1))
            & ? [X4] :
                ( ordinal(X4)
                & X3 = X4
                & in(X4,X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e8_6__wellord2__1) ).

fof(f200,negated_conjecture,
    ~ ! [X0,X1] :
        ( ordinal(X1)
       => ? [X2] :
          ! [X3] :
            ( in(X3,X2)
          <=> ( in(X3,succ(X1))
              & ? [X4] :
                  ( ordinal(X4)
                  & X3 = X4
                  & in(X4,X0) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f199]) ).

fof(f250,axiom,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( in(X0,X1)
       => ordinal(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).

fof(f326,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( ! [X2,X3,X4] :
            ( ( X2 = X3
              & ? [X5] :
                  ( ordinal(X5)
                  & X3 = X5
                  & in(X5,X0) )
              & X2 = X4
              & ? [X6] :
                  ( ordinal(X6)
                  & X4 = X6
                  & in(X6,X0) ) )
           => X3 = X4 )
       => ? [X7] :
          ! [X8] :
            ( in(X8,X7)
          <=> ? [X9] :
                ( in(X9,succ(X1))
                & X8 = X9
                & ? [X10] :
                    ( ordinal(X10)
                    & X8 = X10
                    & in(X10,X0) ) ) ) ) ),
    inference(rectify,[],[f198]) ).

fof(f468,plain,
    ! [X0] :
      ( ( ~ empty(succ(X0))
        & epsilon_transitive(succ(X0))
        & epsilon_connected(succ(X0))
        & ordinal(succ(X0)) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f518,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( in(X8,X7)
        <=> ? [X9] :
              ( in(X9,succ(X1))
              & X8 = X9
              & ? [X10] :
                  ( ordinal(X10)
                  & X8 = X10
                  & in(X10,X0) ) ) )
      | ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X3
          & ? [X5] :
              ( ordinal(X5)
              & X3 = X5
              & in(X5,X0) )
          & X2 = X4
          & ? [X6] :
              ( ordinal(X6)
              & X4 = X6
              & in(X6,X0) ) )
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f358]) ).

fof(f519,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( in(X8,X7)
        <=> ? [X9] :
              ( in(X9,succ(X1))
              & X8 = X9
              & ? [X10] :
                  ( ordinal(X10)
                  & X8 = X10
                  & in(X10,X0) ) ) )
      | ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X3
          & ? [X5] :
              ( ordinal(X5)
              & X3 = X5
              & in(X5,X0) )
          & X2 = X4
          & ? [X6] :
              ( ordinal(X6)
              & X4 = X6
              & in(X6,X0) ) )
      | ~ ordinal(X1) ),
    inference(flattening,[],[f518]) ).

fof(f520,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( in(X3,X2)
        <~> ( in(X3,succ(X1))
            & ? [X4] :
                ( ordinal(X4)
                & X3 = X4
                & in(X4,X0) ) ) )
      & ordinal(X1) ),
    inference(ennf_transformation,[],[f200]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( ordinal(X0)
      | ~ in(X0,X1)
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f250]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( ordinal(X0)
      | ~ in(X0,X1)
      | ~ ordinal(X1) ),
    inference(flattening,[],[f583]) ).

fof(f702,definition,
    ! [X4,X0] :
      ( ? [X6] :
          ( ordinal(X6)
          & X4 = X6
          & in(X6,X0) )
      | ~ sP2(X4,X0) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f703,definition,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X3
          & ? [X5] :
              ( ordinal(X5)
              & X3 = X5
              & in(X5,X0) )
          & X2 = X4
          & sP2(X4,X0) )
      | ~ sP3(X0) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f704,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( in(X8,X7)
        <=> ? [X9] :
              ( in(X9,succ(X1))
              & X8 = X9
              & ? [X10] :
                  ( ordinal(X10)
                  & X8 = X10
                  & in(X10,X0) ) ) )
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(definition_folding,[],[f519,f703,f702]) ).

fof(f905,plain,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( X3 != X4
          & X2 = X3
          & ? [X5] :
              ( ordinal(X5)
              & X3 = X5
              & in(X5,X0) )
          & X2 = X4
          & sP2(X4,X0) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f703]) ).

fof(f906,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & X1 = X2
          & ? [X4] :
              ( ordinal(X4)
              & X2 = X4
              & in(X4,X0) )
          & X1 = X3
          & sP2(X3,X0) )
      | ~ sP3(X0) ),
    inference(rectify,[],[f905]) ).

fof(f907,plain,
    ! [X0] :
      ( ( sK117(X0) != sK118(X0)
        & sK116(X0) = sK117(X0)
        & ordinal(sK119(X0))
        & sK117(X0) = sK119(X0)
        & in(sK119(X0),X0)
        & sK116(X0) = sK118(X0)
        & sP2(sK118(X0),X0) )
      | ~ sP3(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK116,sK117,sK118,sK119]),skolemize(X1,sK116(X0)),skolemize(X2,sK117(X0)),skolemize(X3,sK118(X0)),skolemize(X4,sK119(X0))],[f906]) ).

fof(f911,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( ( in(X8,X7)
            | ! [X9] :
                ( ~ in(X9,succ(X1))
                | X8 != X9
                | ! [X10] :
                    ( ~ ordinal(X10)
                    | X8 != X10
                    | ~ in(X10,X0) ) ) )
          & ( ? [X9] :
                ( in(X9,succ(X1))
                & X8 = X9
                & ? [X10] :
                    ( ordinal(X10)
                    & X8 = X10
                    & in(X10,X0) ) )
            | ~ in(X8,X7) ) )
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(nnf_transformation,[],[f704]) ).

fof(f912,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ! [X4] :
                ( ~ in(X4,succ(X1))
                | X3 != X4
                | ! [X5] :
                    ( ~ ordinal(X5)
                    | X3 != X5
                    | ~ in(X5,X0) ) ) )
          & ( ? [X6] :
                ( in(X6,succ(X1))
                & X3 = X6
                & ? [X7] :
                    ( ordinal(X7)
                    & X3 = X7
                    & in(X7,X0) ) )
            | ~ in(X3,X2) ) )
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(rectify,[],[f911]) ).

fof(f913,plain,
    ! [X0,X1] :
      ( ! [X3] :
          ( ( in(X3,sK121(X0,X1))
            | ! [X4] :
                ( ~ in(X4,succ(X1))
                | X3 != X4
                | ! [X5] :
                    ( ~ ordinal(X5)
                    | X3 != X5
                    | ~ in(X5,X0) ) ) )
          & ( ( in(sK122(X0,X1,X3),succ(X1))
              & sK122(X0,X1,X3) = X3
              & ordinal(sK123(X0,X3))
              & sK123(X0,X3) = X3
              & in(sK123(X0,X3),X0) )
            | ~ in(X3,sK121(X0,X1)) ) )
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK121,sK122,sK123]),skolemize(X2,sK121(X0,X1)),skolemize(X6,sK122(X0,X1,X3)),skolemize(X7,sK123(X0,X3))],[f912]) ).

fof(f914,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( ( ~ in(X3,succ(X1))
            | ! [X4] :
                ( ~ ordinal(X4)
                | X3 != X4
                | ~ in(X4,X0) )
            | ~ in(X3,X2) )
          & ( ( in(X3,succ(X1))
              & ? [X4] :
                  ( ordinal(X4)
                  & X3 = X4
                  & in(X4,X0) ) )
            | in(X3,X2) ) )
      & ordinal(X1) ),
    inference(nnf_transformation,[],[f520]) ).

fof(f915,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( ( ~ in(X3,succ(X1))
            | ! [X4] :
                ( ~ ordinal(X4)
                | X3 != X4
                | ~ in(X4,X0) )
            | ~ in(X3,X2) )
          & ( ( in(X3,succ(X1))
              & ? [X4] :
                  ( ordinal(X4)
                  & X3 = X4
                  & in(X4,X0) ) )
            | in(X3,X2) ) )
      & ordinal(X1) ),
    inference(flattening,[],[f914]) ).

fof(f916,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( ( ~ in(X3,succ(X1))
            | ! [X4] :
                ( ~ ordinal(X4)
                | X3 != X4
                | ~ in(X4,X0) )
            | ~ in(X3,X2) )
          & ( ( in(X3,succ(X1))
              & ? [X5] :
                  ( ordinal(X5)
                  & X3 = X5
                  & in(X5,X0) ) )
            | in(X3,X2) ) )
      & ordinal(X1) ),
    inference(rectify,[],[f915]) ).

fof(f917,plain,
    ( ! [X2] :
        ( ( ~ in(sK126(X2),succ(sK125))
          | ! [X4] :
              ( ~ ordinal(X4)
              | sK126(X2) != X4
              | ~ in(X4,sK124) )
          | ~ in(sK126(X2),X2) )
        & ( ( in(sK126(X2),succ(sK125))
            & ordinal(sK127(X2))
            & sK126(X2) = sK127(X2)
            & in(sK127(X2),sK124) )
          | in(sK126(X2),X2) ) )
    & ordinal(sK125) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK124,sK125,sK126,sK127]),skolemize(X0,sK124),skolemize(X1,sK125),skolemize(X3,sK126(X2)),skolemize(X5,sK127(X2))],[f916]) ).

fof(f1069,plain,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    inference(cnf_transformation,[],[f27]) ).

fof(f1334,plain,
    ! [X0] :
      ( ordinal(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f468]) ).

fof(f1454,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | sK116(X0) = sK118(X0) ),
    inference(cnf_transformation,[],[f907]) ).

fof(f1458,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | sK116(X0) = sK117(X0) ),
    inference(cnf_transformation,[],[f907]) ).

fof(f1459,plain,
    ! [X0] :
      ( sK117(X0) != sK118(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f907]) ).

fof(f1463,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK121(X0,X1))
      | in(sK123(X0,X3),X0)
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f913]) ).

fof(f1464,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK121(X0,X1))
      | sK123(X0,X3) = X3
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f913]) ).

fof(f1466,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK121(X0,X1))
      | sK122(X0,X1,X3) = X3
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f913]) ).

fof(f1467,plain,
    ! [X3,X0,X1] :
      ( in(sK122(X0,X1,X3),succ(X1))
      | ~ in(X3,sK121(X0,X1))
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f913]) ).

fof(f1468,plain,
    ! [X3,X0,X1,X4,X5] :
      ( in(X3,sK121(X0,X1))
      | ~ in(X4,succ(X1))
      | X3 != X4
      | ~ ordinal(X5)
      | X3 != X5
      | ~ in(X5,X0)
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f913]) ).

fof(f1469,plain,
    ordinal(sK125),
    inference(cnf_transformation,[],[f917]) ).

fof(f1470,plain,
    ! [X2] :
      ( in(sK127(X2),sK124)
      | in(sK126(X2),X2) ),
    inference(cnf_transformation,[],[f917]) ).

fof(f1471,plain,
    ! [X2] :
      ( in(sK126(X2),X2)
      | sK126(X2) = sK127(X2) ),
    inference(cnf_transformation,[],[f917]) ).

fof(f1473,plain,
    ! [X2] :
      ( in(sK126(X2),succ(sK125))
      | in(sK126(X2),X2) ),
    inference(cnf_transformation,[],[f917]) ).

fof(f1474,plain,
    ! [X2,X4] :
      ( ~ in(sK126(X2),succ(sK125))
      | ~ ordinal(X4)
      | sK126(X2) != X4
      | ~ in(X4,sK124)
      | ~ in(sK126(X2),X2) ),
    inference(cnf_transformation,[],[f917]) ).

fof(f1547,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f1678,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f326]) ).

fof(f1718,plain,
    ! [X0] : succ(X0) = set_union2(X0,unordered_pair(X0,X0)),
    inference(definition_unfolding,[],[f1069,f1678]) ).

fof(f1834,plain,
    ! [X0] :
      ( ordinal(set_union2(X0,unordered_pair(X0,X0)))
      | ~ ordinal(X0) ),
    inference(definition_unfolding,[],[f1334,f1718]) ).

fof(f1861,plain,
    ! [X3,X0,X1,X4,X5] :
      ( in(X3,sK121(X0,X1))
      | ~ in(X4,set_union2(X1,unordered_pair(X1,X1)))
      | X3 != X4
      | ~ ordinal(X5)
      | X3 != X5
      | ~ in(X5,X0)
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(definition_unfolding,[],[f1468,f1718]) ).

fof(f1862,plain,
    ! [X3,X0,X1] :
      ( in(sK122(X0,X1,X3),set_union2(X1,unordered_pair(X1,X1)))
      | ~ in(X3,sK121(X0,X1))
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(definition_unfolding,[],[f1467,f1718]) ).

fof(f1863,plain,
    ! [X2,X4] :
      ( ~ in(sK126(X2),set_union2(sK125,unordered_pair(sK125,sK125)))
      | ~ ordinal(X4)
      | sK126(X2) != X4
      | ~ in(X4,sK124)
      | ~ in(sK126(X2),X2) ),
    inference(definition_unfolding,[],[f1474,f1718]) ).

fof(f1864,plain,
    ! [X2] :
      ( in(sK126(X2),set_union2(sK125,unordered_pair(sK125,sK125)))
      | in(sK126(X2),X2) ),
    inference(definition_unfolding,[],[f1473,f1718]) ).

fof(f2032,plain,
    ! [X0,X1,X4,X5] :
      ( in(X4,sK121(X0,X1))
      | ~ in(X4,set_union2(X1,unordered_pair(X1,X1)))
      | ~ ordinal(X5)
      | X4 != X5
      | ~ in(X5,X0)
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(equality_resolution,[],[f1861]) ).

fof(f2033,plain,
    ! [X0,X1,X5] :
      ( ~ in(X5,set_union2(X1,unordered_pair(X1,X1)))
      | in(X5,sK121(X0,X1))
      | ~ ordinal(X5)
      | ~ in(X5,X0)
      | sP3(X0)
      | ~ ordinal(X1) ),
    inference(equality_resolution,[],[f2032]) ).

fof(f2034,plain,
    ! [X2] :
      ( ~ in(sK126(X2),set_union2(sK125,unordered_pair(sK125,sK125)))
      | ~ ordinal(sK126(X2))
      | ~ in(sK126(X2),sK124)
      | ~ in(sK126(X2),X2) ),
    inference(equality_resolution,[],[f1863]) ).

fof(f2054,definition,
    sF151 = unordered_pair(sK125,sK125),
    introduced(definition,[new_symbols(definition,[sF151])],[function_definition]) ).

fof(f2055,plain,
    unordered_pair(sK125,sK125) = sF151,
    inference(reorient_equations,[],[f2054]) ).

fof(f2056,definition,
    sF152 = set_union2(sK125,sF151),
    introduced(definition,[new_symbols(definition,[sF152])],[function_definition]) ).

fof(f2057,plain,
    set_union2(sK125,sF151) = sF152,
    inference(reorient_equations,[],[f2056]) ).

fof(f2058,plain,
    ! [X2] :
      ( ~ in(sK126(X2),sF152)
      | ~ ordinal(sK126(X2))
      | ~ in(sK126(X2),sK124)
      | ~ in(sK126(X2),X2) ),
    inference(definition_folding,[],[f2034,f2057,f2055]) ).

fof(f2059,plain,
    ! [X2] :
      ( in(sK126(X2),sF152)
      | in(sK126(X2),X2) ),
    inference(definition_folding,[],[f1864,f2057,f2055]) ).

fof(f2176,plain,
    ! [X0] :
      ( ordinal(sK126(X0))
      | ~ ordinal(sF152)
      | in(sK126(X0),X0) ),
    inference(resolution,[],[f1547,f2059]) ).

fof(f2191,definition,
    ( spl153_14
  <=> ordinal(sF152) ),
    introduced(definition,[new_symbols(definition,[spl153_14])],[avatar_definition]) ).

fof(f2192,plain,
    ( ordinal(sF152)
    | ~ spl153_14 ),
    inference(avatar_component_clause,[],[f2191]) ).

fof(f2193,plain,
    ( ~ ordinal(sF152)
    | spl153_14 ),
    inference(avatar_component_clause,[],[f2191]) ).

fof(f2195,definition,
    ( spl153_15
  <=> ! [X0] :
        ( ordinal(sK126(X0))
        | in(sK126(X0),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl153_15])],[avatar_definition]) ).

fof(f2196,plain,
    ( ! [X0] :
        ( in(sK126(X0),X0)
        | ordinal(sK126(X0)) )
    | ~ spl153_15 ),
    inference(avatar_component_clause,[],[f2195]) ).

fof(f2197,plain,
    ( ~ spl153_14
    | spl153_15 ),
    inference(avatar_split_clause,[],[f2176,f2195,f2191]) ).

fof(f2260,plain,
    ( ordinal(set_union2(sK125,sF151))
    | ~ ordinal(sK125) ),
    inference(superposition,[],[f1834,f2055]) ).

fof(f2261,plain,
    ordinal(set_union2(sK125,sF151)),
    inference(forward_subsumption_resolution,[],[f2260,f1469]) ).

fof(f2262,plain,
    ordinal(sF152),
    inference(forward_demodulation,[],[f2261,f2057]) ).

fof(f2263,plain,
    ( $false
    | spl153_14 ),
    inference(forward_subsumption_resolution,[],[f2262,f2193]) ).

fof(f2264,plain,
    spl153_14,
    inference(avatar_contradiction_clause,[],[f2263]) ).

fof(f2673,plain,
    ! [X0,X1] :
      ( in(sK127(sK121(X0,X1)),sK124)
      | sP3(X0)
      | ~ ordinal(X1)
      | sK126(sK121(X0,X1)) = sK123(X0,sK126(sK121(X0,X1))) ),
    inference(resolution,[],[f1464,f1470]) ).

fof(f2674,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | sP3(X0)
      | sK126(sK121(X0,X1)) = sK123(X0,sK126(sK121(X0,X1)))
      | sK126(sK121(X0,X1)) = sK127(sK121(X0,X1)) ),
    inference(resolution,[],[f1464,f1471]) ).

fof(f2774,plain,
    ! [X0,X1] :
      ( ~ in(X0,set_union2(sK125,sF151))
      | in(X0,sK121(X1,sK125))
      | ~ ordinal(X0)
      | ~ in(X0,X1)
      | sP3(X1)
      | ~ ordinal(sK125) ),
    inference(superposition,[],[f2033,f2055]) ).

fof(f2778,plain,
    ! [X0,X1] :
      ( ~ in(X0,set_union2(sK125,sF151))
      | in(X0,sK121(X1,sK125))
      | ~ ordinal(X0)
      | ~ in(X0,X1)
      | sP3(X1) ),
    inference(forward_subsumption_resolution,[],[f2774,f1469]) ).

fof(f2784,plain,
    ! [X0,X1] :
      ( in(X0,sK121(X1,sK125))
      | ~ in(X0,sF152)
      | ~ ordinal(X0)
      | ~ in(X0,X1)
      | sP3(X1) ),
    inference(forward_demodulation,[],[f2778,f2057]) ).

fof(f2793,plain,
    ! [X0,X1] :
      ( ~ in(X0,sF152)
      | ~ ordinal(X0)
      | ~ in(X0,X1)
      | sP3(X1)
      | sK122(X1,sK125,X0) = X0
      | sP3(X1)
      | ~ ordinal(sK125) ),
    inference(resolution,[],[f2784,f1466]) ).

fof(f2796,plain,
    ! [X0,X1] :
      ( ~ in(X0,sF152)
      | ~ ordinal(X0)
      | ~ in(X0,X1)
      | sP3(X1)
      | sK122(X1,sK125,X0) = X0
      | ~ ordinal(sK125) ),
    inference(duplicate_literal_removal,[],[f2793]) ).

fof(f2798,plain,
    ! [X0,X1] :
      ( ~ in(X0,sF152)
      | ~ ordinal(X0)
      | ~ in(X0,X1)
      | sP3(X1)
      | sK122(X1,sK125,X0) = X0 ),
    inference(forward_subsumption_resolution,[],[f2796,f1469]) ).

fof(f2852,plain,
    ! [X0,X1] :
      ( ~ ordinal(sK126(X0))
      | ~ in(sK126(X0),X1)
      | sP3(X1)
      | sK126(X0) = sK122(X1,sK125,sK126(X0))
      | in(sK126(X0),X0) ),
    inference(resolution,[],[f2798,f2059]) ).

fof(f2877,plain,
    ( ! [X0,X1] :
        ( ~ in(sK126(X0),X1)
        | sP3(X1)
        | sK126(X0) = sK122(X1,sK125,sK126(X0))
        | in(sK126(X0),X0) )
    | ~ spl153_15 ),
    inference(forward_subsumption_resolution,[],[f2852,f2196]) ).

fof(f3016,definition,
    ( spl153_54
  <=> sP3(sK124) ),
    introduced(definition,[new_symbols(definition,[spl153_54])],[avatar_definition]) ).

fof(f3017,plain,
    ( ~ sP3(sK124)
    | spl153_54 ),
    inference(avatar_component_clause,[],[f3016]) ).

fof(f3018,plain,
    ( sP3(sK124)
    | ~ spl153_54 ),
    inference(avatar_component_clause,[],[f3016]) ).

fof(f3866,plain,
    ! [X0] :
      ( sP3(X0)
      | sK126(sK121(X0,sK125)) = sK123(X0,sK126(sK121(X0,sK125)))
      | sK126(sK121(X0,sK125)) = sK127(sK121(X0,sK125)) ),
    inference(resolution,[],[f2674,f1469]) ).

fof(f3923,plain,
    ( sK116(sK124) = sK117(sK124)
    | ~ spl153_54 ),
    inference(resolution,[],[f1458,f3018]) ).

fof(f4665,plain,
    ( sK116(sK124) = sK118(sK124)
    | ~ spl153_54 ),
    inference(resolution,[],[f1454,f3018]) ).

fof(f4672,plain,
    ( sK117(sK124) = sK118(sK124)
    | ~ spl153_54 ),
    inference(forward_demodulation,[],[f4665,f3923]) ).

fof(f5397,plain,
    ! [X0,X1] :
      ( in(sK123(X0,sK126(sK121(X0,X1))),X0)
      | sP3(X0)
      | ~ ordinal(X1)
      | in(sK127(sK121(X0,X1)),sK124) ),
    inference(resolution,[],[f1463,f1470]) ).

fof(f5398,plain,
    ! [X0,X1] :
      ( in(sK123(X0,sK126(sK121(X0,X1))),X0)
      | sP3(X0)
      | ~ ordinal(X1)
      | sK126(sK121(X0,X1)) = sK127(sK121(X0,X1)) ),
    inference(resolution,[],[f1463,f1471]) ).

fof(f6610,plain,
    ( sK117(sK124) != sK117(sK124)
    | ~ sP3(sK124)
    | ~ spl153_54 ),
    inference(superposition,[],[f1459,f4672]) ).

fof(f6613,plain,
    ( ~ sP3(sK124)
    | ~ spl153_54 ),
    inference(trivial_inequality_removal,[],[f6610]) ).

fof(f6616,plain,
    ( $false
    | ~ spl153_54 ),
    inference(forward_subsumption_resolution,[],[f6613,f3018]) ).

fof(f6617,plain,
    ~ spl153_54,
    inference(avatar_contradiction_clause,[],[f6616]) ).

fof(f7439,plain,
    ( sK126(sK121(sK124,sK125)) = sK123(sK124,sK126(sK121(sK124,sK125)))
    | sK126(sK121(sK124,sK125)) = sK127(sK121(sK124,sK125))
    | spl153_54 ),
    inference(resolution,[],[f3017,f3866]) ).

fof(f7442,definition,
    ( spl153_86
  <=> sK126(sK121(sK124,sK125)) = sK127(sK121(sK124,sK125)) ),
    introduced(definition,[new_symbols(definition,[spl153_86])],[avatar_definition]) ).

fof(f7443,plain,
    ( sK126(sK121(sK124,sK125)) != sK127(sK121(sK124,sK125))
    | spl153_86 ),
    inference(avatar_component_clause,[],[f7442]) ).

fof(f7444,plain,
    ( sK126(sK121(sK124,sK125)) = sK127(sK121(sK124,sK125))
    | ~ spl153_86 ),
    inference(avatar_component_clause,[],[f7442]) ).

fof(f7446,definition,
    ( spl153_87
  <=> sK126(sK121(sK124,sK125)) = sK123(sK124,sK126(sK121(sK124,sK125))) ),
    introduced(definition,[new_symbols(definition,[spl153_87])],[avatar_definition]) ).

fof(f7448,plain,
    ( sK126(sK121(sK124,sK125)) = sK123(sK124,sK126(sK121(sK124,sK125)))
    | ~ spl153_87 ),
    inference(avatar_component_clause,[],[f7446]) ).

fof(f7449,plain,
    ( spl153_86
    | spl153_87
    | spl153_54 ),
    inference(avatar_split_clause,[],[f7439,f3016,f7446,f7442]) ).

fof(f7451,plain,
    ( in(sK126(sK121(sK124,sK125)),sK124)
    | sP3(sK124)
    | ~ ordinal(sK125)
    | sK126(sK121(sK124,sK125)) = sK123(sK124,sK126(sK121(sK124,sK125)))
    | ~ spl153_86 ),
    inference(superposition,[],[f2673,f7444]) ).

fof(f7455,plain,
    ( in(sK126(sK121(sK124,sK125)),sK124)
    | ~ ordinal(sK125)
    | sK126(sK121(sK124,sK125)) = sK123(sK124,sK126(sK121(sK124,sK125)))
    | spl153_54
    | ~ spl153_86 ),
    inference(forward_subsumption_resolution,[],[f7451,f3017]) ).

fof(f7457,plain,
    ( in(sK126(sK121(sK124,sK125)),sK124)
    | sK126(sK121(sK124,sK125)) = sK123(sK124,sK126(sK121(sK124,sK125)))
    | spl153_54
    | ~ spl153_86 ),
    inference(forward_subsumption_resolution,[],[f7455,f1469]) ).

fof(f7460,definition,
    ( spl153_88
  <=> in(sK126(sK121(sK124,sK125)),sK124) ),
    introduced(definition,[new_symbols(definition,[spl153_88])],[avatar_definition]) ).

fof(f7461,plain,
    ( ~ in(sK126(sK121(sK124,sK125)),sK124)
    | spl153_88 ),
    inference(avatar_component_clause,[],[f7460]) ).

fof(f7462,plain,
    ( in(sK126(sK121(sK124,sK125)),sK124)
    | ~ spl153_88 ),
    inference(avatar_component_clause,[],[f7460]) ).

fof(f7463,plain,
    ( spl153_87
    | spl153_88
    | spl153_54
    | ~ spl153_86 ),
    inference(avatar_split_clause,[],[f7457,f7442,f3016,f7460,f7446]) ).

fof(f7465,definition,
    ( spl153_89
  <=> sK126(sK121(sK124,sK125)) = sK122(sK124,sK125,sK126(sK121(sK124,sK125))) ),
    introduced(definition,[new_symbols(definition,[spl153_89])],[avatar_definition]) ).

fof(f7467,plain,
    ( sK126(sK121(sK124,sK125)) = sK122(sK124,sK125,sK126(sK121(sK124,sK125)))
    | ~ spl153_89 ),
    inference(avatar_component_clause,[],[f7465]) ).

fof(f7474,plain,
    ( sP3(sK124)
    | sK126(sK121(sK124,sK125)) = sK122(sK124,sK125,sK126(sK121(sK124,sK125)))
    | in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | ~ spl153_15
    | ~ spl153_88 ),
    inference(resolution,[],[f7462,f2877]) ).

fof(f7485,plain,
    ( sK126(sK121(sK124,sK125)) = sK122(sK124,sK125,sK126(sK121(sK124,sK125)))
    | in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | ~ spl153_15
    | spl153_54
    | ~ spl153_88 ),
    inference(forward_subsumption_resolution,[],[f7474,f3017]) ).

fof(f7489,definition,
    ( spl153_90
  <=> in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125)) ),
    introduced(definition,[new_symbols(definition,[spl153_90])],[avatar_definition]) ).

fof(f7490,plain,
    ( in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | ~ spl153_90 ),
    inference(avatar_component_clause,[],[f7489]) ).

fof(f7491,plain,
    ( ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | spl153_90 ),
    inference(avatar_component_clause,[],[f7489]) ).

fof(f7506,definition,
    ( spl153_94
  <=> ordinal(sK126(sK121(sK124,sK125))) ),
    introduced(definition,[new_symbols(definition,[spl153_94])],[avatar_definition]) ).

fof(f7507,plain,
    ( ordinal(sK126(sK121(sK124,sK125)))
    | ~ spl153_94 ),
    inference(avatar_component_clause,[],[f7506]) ).

fof(f7508,plain,
    ( ~ ordinal(sK126(sK121(sK124,sK125)))
    | spl153_94 ),
    inference(avatar_component_clause,[],[f7506]) ).

fof(f7518,plain,
    ( spl153_90
    | spl153_89
    | ~ spl153_15
    | spl153_54
    | ~ spl153_88 ),
    inference(avatar_split_clause,[],[f7485,f7460,f3016,f2195,f7465,f7489]) ).

fof(f7531,plain,
    ( sK126(sK121(sK124,sK125)) = sK122(sK124,sK125,sK126(sK121(sK124,sK125)))
    | sP3(sK124)
    | ~ ordinal(sK125)
    | ~ spl153_90 ),
    inference(resolution,[],[f7490,f1466]) ).

fof(f7539,plain,
    ( sK126(sK121(sK124,sK125)) = sK122(sK124,sK125,sK126(sK121(sK124,sK125)))
    | ~ ordinal(sK125)
    | spl153_54
    | ~ spl153_90 ),
    inference(forward_subsumption_resolution,[],[f7531,f3017]) ).

fof(f7542,plain,
    ( sK126(sK121(sK124,sK125)) = sK122(sK124,sK125,sK126(sK121(sK124,sK125)))
    | spl153_54
    | ~ spl153_90 ),
    inference(forward_subsumption_resolution,[],[f7539,f1469]) ).

fof(f7545,plain,
    ( spl153_89
    | spl153_54
    | ~ spl153_90 ),
    inference(avatar_split_clause,[],[f7542,f7489,f3016,f7465]) ).

fof(f7547,plain,
    ( in(sK126(sK121(sK124,sK125)),sK124)
    | sP3(sK124)
    | ~ ordinal(sK125)
    | sK126(sK121(sK124,sK125)) = sK127(sK121(sK124,sK125))
    | ~ spl153_87 ),
    inference(superposition,[],[f5398,f7448]) ).

fof(f7548,plain,
    ( in(sK126(sK121(sK124,sK125)),sK124)
    | sP3(sK124)
    | ~ ordinal(sK125)
    | in(sK127(sK121(sK124,sK125)),sK124)
    | ~ spl153_87 ),
    inference(superposition,[],[f5397,f7448]) ).

fof(f7558,plain,
    ( in(sK126(sK121(sK124,sK125)),set_union2(sK125,unordered_pair(sK125,sK125)))
    | ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | sP3(sK124)
    | ~ ordinal(sK125)
    | ~ spl153_89 ),
    inference(superposition,[],[f1862,f7467]) ).

fof(f7559,plain,
    ( in(sK126(sK121(sK124,sK125)),set_union2(sK125,unordered_pair(sK125,sK125)))
    | ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | ~ ordinal(sK125)
    | spl153_54
    | ~ spl153_89 ),
    inference(forward_subsumption_resolution,[],[f7558,f3017]) ).

fof(f7561,plain,
    ( in(sK126(sK121(sK124,sK125)),set_union2(sK125,unordered_pair(sK125,sK125)))
    | ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_89 ),
    inference(forward_subsumption_resolution,[],[f7559,f1469]) ).

fof(f7563,plain,
    ( in(sK126(sK121(sK124,sK125)),set_union2(sK125,sF151))
    | ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_89 ),
    inference(forward_demodulation,[],[f7561,f2055]) ).

fof(f7564,plain,
    ( in(sK126(sK121(sK124,sK125)),sF152)
    | ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_89 ),
    inference(forward_demodulation,[],[f7563,f2057]) ).

fof(f7565,plain,
    ( in(sK126(sK121(sK124,sK125)),sF152)
    | spl153_54
    | ~ spl153_89 ),
    inference(forward_subsumption_resolution,[],[f7564,f2059]) ).

fof(f7602,plain,
    ( ~ in(sK126(sK121(sK124,sK125)),sF152)
    | ~ ordinal(sK126(sK121(sK124,sK125)))
    | ~ in(sK126(sK121(sK124,sK125)),sK124)
    | sP3(sK124)
    | spl153_90 ),
    inference(resolution,[],[f7491,f2784]) ).

fof(f7608,plain,
    ( ~ in(sK126(sK121(sK124,sK125)),sF152)
    | ~ in(sK126(sK121(sK124,sK125)),sK124)
    | sP3(sK124)
    | spl153_90
    | ~ spl153_94 ),
    inference(forward_subsumption_resolution,[],[f7602,f7507]) ).

fof(f7631,plain,
    ( ~ in(sK126(sK121(sK124,sK125)),sF152)
    | sP3(sK124)
    | ~ spl153_88
    | spl153_90
    | ~ spl153_94 ),
    inference(forward_subsumption_resolution,[],[f7608,f7462]) ).

fof(f10915,plain,
    ( ~ ordinal(sK126(sK121(sK124,sK125)))
    | ~ in(sK126(sK121(sK124,sK125)),sK124)
    | ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_89 ),
    inference(resolution,[],[f7565,f2058]) ).

fof(f10923,plain,
    ( ordinal(sK126(sK121(sK124,sK125)))
    | ~ ordinal(sF152)
    | spl153_54
    | ~ spl153_89 ),
    inference(resolution,[],[f7565,f1547]) ).

fof(f10940,plain,
    ( ~ in(sK126(sK121(sK124,sK125)),sK124)
    | ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_89
    | ~ spl153_94 ),
    inference(forward_subsumption_resolution,[],[f10915,f7507]) ).

fof(f10941,plain,
    ( ~ in(sK126(sK121(sK124,sK125)),sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | ~ spl153_94 ),
    inference(forward_subsumption_resolution,[],[f10940,f7462]) ).

fof(f10942,plain,
    ( $false
    | spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | ~ spl153_90
    | ~ spl153_94 ),
    inference(forward_subsumption_resolution,[],[f10941,f7490]) ).

fof(f10943,plain,
    ( spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | ~ spl153_90
    | ~ spl153_94 ),
    inference(avatar_contradiction_clause,[],[f10942]) ).

fof(f10953,plain,
    ( ~ ordinal(sF152)
    | spl153_54
    | ~ spl153_89
    | spl153_94 ),
    inference(forward_subsumption_resolution,[],[f10923,f7508]) ).

fof(f10954,plain,
    ( $false
    | ~ spl153_14
    | spl153_54
    | ~ spl153_89
    | spl153_94 ),
    inference(forward_subsumption_resolution,[],[f10953,f2192]) ).

fof(f10955,plain,
    ( ~ spl153_14
    | spl153_54
    | ~ spl153_89
    | spl153_94 ),
    inference(avatar_contradiction_clause,[],[f10954]) ).

fof(f10959,plain,
    ( sP3(sK124)
    | ~ ordinal(sK125)
    | in(sK127(sK121(sK124,sK125)),sK124)
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f7548,f7461]) ).

fof(f10964,plain,
    ( ~ ordinal(sK125)
    | in(sK127(sK121(sK124,sK125)),sK124)
    | spl153_54
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f10959,f3017]) ).

fof(f10965,plain,
    ( in(sK127(sK121(sK124,sK125)),sK124)
    | spl153_54
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f10964,f1469]) ).

fof(f10966,plain,
    ( in(sK126(sK121(sK124,sK125)),sK124)
    | spl153_54
    | ~ spl153_86
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_demodulation,[],[f10965,f7444]) ).

fof(f10967,plain,
    ( $false
    | spl153_54
    | ~ spl153_86
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f10966,f7461]) ).

fof(f10968,plain,
    ( spl153_54
    | ~ spl153_86
    | ~ spl153_87
    | spl153_88 ),
    inference(avatar_contradiction_clause,[],[f10967]) ).

fof(f10969,plain,
    ( sP3(sK124)
    | ~ ordinal(sK125)
    | sK126(sK121(sK124,sK125)) = sK127(sK121(sK124,sK125))
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f7547,f7461]) ).

fof(f10970,plain,
    ( ~ ordinal(sK125)
    | sK126(sK121(sK124,sK125)) = sK127(sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f10969,f3017]) ).

fof(f10971,plain,
    ( sK126(sK121(sK124,sK125)) = sK127(sK121(sK124,sK125))
    | spl153_54
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f10970,f1469]) ).

fof(f10972,plain,
    ( $false
    | spl153_54
    | spl153_86
    | ~ spl153_87
    | spl153_88 ),
    inference(forward_subsumption_resolution,[],[f10971,f7443]) ).

fof(f10973,plain,
    ( spl153_54
    | spl153_86
    | ~ spl153_87
    | spl153_88 ),
    inference(avatar_contradiction_clause,[],[f10972]) ).

fof(f10974,plain,
    ( sP3(sK124)
    | spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | spl153_90
    | ~ spl153_94 ),
    inference(forward_subsumption_resolution,[],[f7631,f7565]) ).

fof(f10977,plain,
    ( $false
    | spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | spl153_90
    | ~ spl153_94 ),
    inference(forward_subsumption_resolution,[],[f10974,f3017]) ).

fof(f10978,plain,
    ( spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | spl153_90
    | ~ spl153_94 ),
    inference(avatar_contradiction_clause,[],[f10977]) ).

cnf(s7,plain,
    ( ~ spl153_14
    | spl153_15 ),
    inference(sat_conversion,[],[f2197]) ).

cnf(s16,plain,
    spl153_14,
    inference(sat_conversion,[],[f2264]) ).

cnf(s94,plain,
    ~ spl153_54,
    inference(sat_conversion,[],[f6617]) ).

cnf(s97,plain,
    ( spl153_54
    | spl153_86
    | spl153_87 ),
    inference(sat_conversion,[],[f7449]) ).

cnf(s98,plain,
    ( spl153_54
    | ~ spl153_86
    | spl153_87
    | spl153_88 ),
    inference(sat_conversion,[],[f7463]) ).

cnf(s105,plain,
    ( ~ spl153_15
    | spl153_54
    | ~ spl153_88
    | spl153_89
    | spl153_90 ),
    inference(sat_conversion,[],[f7518]) ).

cnf(s109,plain,
    ( spl153_54
    | spl153_89
    | ~ spl153_90 ),
    inference(sat_conversion,[],[f7545]) ).

cnf(s304,plain,
    ( spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | ~ spl153_90
    | ~ spl153_94 ),
    inference(sat_conversion,[],[f10943]) ).

cnf(s306,plain,
    ( ~ spl153_14
    | spl153_54
    | ~ spl153_89
    | spl153_94 ),
    inference(sat_conversion,[],[f10955]) ).

cnf(s311,plain,
    ( spl153_54
    | ~ spl153_86
    | ~ spl153_87
    | spl153_88 ),
    inference(sat_conversion,[],[f10968]) ).

cnf(s312,plain,
    ( spl153_54
    | spl153_86
    | ~ spl153_87
    | spl153_88 ),
    inference(sat_conversion,[],[f10973]) ).

cnf(s314,plain,
    ( spl153_54
    | ~ spl153_88
    | ~ spl153_89
    | spl153_90
    | ~ spl153_94 ),
    inference(sat_conversion,[],[f10978]) ).

cnf(s324,plain,
    spl153_15,
    inference(rat,[],[s7,s16]) ).

cnf(s328,plain,
    ( spl153_89
    | ~ spl153_88 ),
    inference(rat,[],[s105,s109,s94,s324]) ).

cnf(s329,plain,
    ( ~ spl153_89
    | ~ spl153_94
    | ~ spl153_88 ),
    inference(rat,[],[s304,s314,s94]) ).

cnf(s330,plain,
    ~ spl153_88,
    inference(rat,[],[s329,s306,s328,s94,s16]) ).

cnf(s331,plain,
    spl153_86,
    inference(rat,[],[s312,s97,s94,s330]) ).

cnf(s333,plain,
    ~ spl153_87,
    inference(rat,[],[s311,s330,s94,s331]) ).

cnf(s334,plain,
    $false,
    inference(rat,[],[s98,s330,s94,s331,s333]) ).

fof(f10979,plain,
    $false,
    inference(avatar_sat_refutation,[],[s334]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU272+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n007.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 04:23:41 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43  Running first-order theorem proving
% 0.15/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.58/2.48  % (2021847)Detected formulas, will run a generic FOF schedule.
% 10.58/2.48  % (2021883)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1982881330:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.58/2.48  % (2021877)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3287653854:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.58/2.48  % (2021875)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2642663567:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.58/2.48  % (2021878)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1965678849:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.58/2.48  % (2021881)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1402444786:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.58/2.48  % (2021884)dis-21_1_sil=8000:lcm=predicate:random_seed=1748760418:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.58/2.48  % (2021880)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2684847091:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.58/2.48  % (2021883)Instruction limit reached! 
% 10.58/2.48  % (2021883)------------------------------
% 10.58/2.48  % (2021883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48  % (2021883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48  % (2021883)CaDiCaL version: 2.1.3
% 10.58/2.48  % (2021883)Termination reason: Instruction limit
% 10.58/2.48  % (2021883)Termination phase: Saturation
% 10.58/2.48  % (2021883)Time elapsed: 0.056 s
% 10.58/2.48  % (2021883)Peak memory usage: 91 MB
% 10.58/2.48  % (2021883)Instructions burned: 140 (million)
% 10.58/2.48  % (2021880)Instruction limit reached! 
% 10.58/2.48  % (2021880)------------------------------
% 10.58/2.48  % (2021880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48  % (2021880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48  % (2021880)CaDiCaL version: 2.1.3
% 10.58/2.48  % (2021880)Termination reason: Instruction limit
% 10.58/2.48  % (2021880)Termination phase: Saturation
% 10.58/2.48  % (2021880)Time elapsed: 0.068 s
% 10.58/2.48  % (2021880)Peak memory usage: 91 MB
% 10.58/2.48  % (2021880)Instructions burned: 109 (million)
% 10.58/2.48  % (2021884)Instruction limit reached! 
% 10.58/2.48  % (2021884)------------------------------
% 10.58/2.48  % (2021884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48  % (2021884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48  % (2021884)CaDiCaL version: 2.1.3
% 10.58/2.48  % (2021884)Termination reason: Instruction limit
% 10.58/2.48  % (2021884)Termination phase: Saturation
% 10.58/2.48  % (2021884)Time elapsed: 0.069 s
% 10.58/2.48  % (2021884)Peak memory usage: 90 MB
% 10.58/2.48  % (2021884)Instructions burned: 131 (million)
% 10.58/2.48  % (2021881)Instruction limit reached! 
% 10.58/2.48  % (2021881)------------------------------
% 10.58/2.48  % (2021881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48  % (2021881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48  % (2021881)CaDiCaL version: 2.1.3
% 10.58/2.48  % (2021881)Termination reason: Instruction limit
% 10.58/2.48  % (2021881)Termination phase: Saturation
% 10.58/2.48  % (2021881)Time elapsed: 0.078 s
% 10.58/2.48  % (2021881)Peak memory usage: 89 MB
% 10.58/2.48  % (2021881)Instructions burned: 119 (million)
% 10.58/2.48  % (2021939)lrs+10_1_sil=8000:sp=occurrence:random_seed=3562940734:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.58/2.48  % (2021952)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1296786668:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.58/2.48  % (2021953)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3541144120:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.58/2.48  % (2021956)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1334270087:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.58/2.48  % (2021939)Instruction limit reached! 
% 16.13/3.24  % (2021939)------------------------------
% 16.13/3.24  % (2021939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2021939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2021939)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2021939)Termination reason: Instruction limit
% 16.13/3.24  % (2021939)Termination phase: Saturation
% 16.13/3.24  % (2021939)Time elapsed: 0.102 s
% 16.13/3.24  % (2021939)Peak memory usage: 93 MB
% 16.13/3.24  % (2021939)Instructions burned: 286 (million)
% 16.13/3.24  % (2021952)Instruction limit reached! 
% 16.13/3.24  % (2021952)------------------------------
% 16.13/3.24  % (2021952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2021952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2021952)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2021952)Termination reason: Instruction limit
% 16.13/3.24  % (2021952)Termination phase: Saturation
% 16.13/3.24  % (2021952)Time elapsed: 0.086 s
% 16.13/3.24  % (2021952)Peak memory usage: 90 MB
% 16.13/3.24  % (2021952)Instructions burned: 158 (million)
% 16.13/3.24  % (2021985)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1232464027:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 16.13/3.24  % (2021956)Instruction limit reached! 
% 16.13/3.24  % (2021956)------------------------------
% 16.13/3.24  % (2021956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2021956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2021956)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2021956)Termination reason: Instruction limit
% 16.13/3.24  % (2021956)Termination phase: Saturation
% 16.13/3.24  % (2021956)Time elapsed: 0.144 s
% 16.13/3.24  % (2021956)Peak memory usage: 92 MB
% 16.13/3.24  % (2021956)Instructions burned: 249 (million)
% 16.13/3.24  % (2021986)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2975195484:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 16.13/3.24  % (2021953)Instruction limit reached! 
% 16.13/3.24  % (2021953)------------------------------
% 16.13/3.24  % (2021953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2021953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2021953)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2021953)Termination reason: Instruction limit
% 16.13/3.24  % (2021953)Termination phase: Saturation
% 16.13/3.24  % (2021953)Time elapsed: 0.225 s
% 16.13/3.24  % (2021953)Peak memory usage: 93 MB
% 16.13/3.24  % (2021953)Instructions burned: 326 (million)
% 16.13/3.24  % (2021985)Instruction limit reached! 
% 16.13/3.24  % (2021985)------------------------------
% 16.13/3.24  % (2021985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2021985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2021985)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2021985)Termination reason: Instruction limit
% 16.13/3.24  % (2021985)Termination phase: Saturation
% 16.13/3.24  % (2021985)Time elapsed: 0.105 s
% 16.13/3.24  % (2021985)Peak memory usage: 91 MB
% 16.13/3.24  % (2021985)Instructions burned: 296 (million)
% 16.13/3.24  % (2021997)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2020255752:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 16.13/3.24  % (2022038)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1887845755:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 16.13/3.24  % (2021997)Instruction limit reached! 
% 16.13/3.24  % (2021997)------------------------------
% 16.13/3.24  % (2021997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2021997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2021997)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2021997)Termination reason: Instruction limit
% 16.13/3.24  % (2021997)Termination phase: Saturation
% 16.13/3.24  % (2021997)Time elapsed: 0.072 s
% 16.13/3.24  % (2021997)Peak memory usage: 90 MB
% 16.13/3.24  % (2021997)Instructions burned: 113 (million)
% 16.13/3.24  % (2022038)Instruction limit reached! 
% 16.13/3.24  % (2022038)------------------------------
% 16.13/3.24  % (2022038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022038)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022038)Termination reason: Instruction limit
% 16.13/3.24  % (2022038)Termination phase: Saturation
% 16.13/3.24  % (2022038)Time elapsed: 0.030 s
% 16.13/3.24  % (2022038)Peak memory usage: 89 MB
% 16.13/3.24  % (2022038)Instructions burned: 116 (million)
% 16.13/3.24  % (2022037)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1381767007:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 16.13/3.24  % (2022037)Instruction limit reached! 
% 16.13/3.24  % (2022037)------------------------------
% 16.13/3.24  % (2022037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022037)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022037)Termination reason: Instruction limit
% 16.13/3.24  % (2022037)Termination phase: Saturation
% 16.13/3.24  % (2022037)Time elapsed: 0.071 s
% 16.13/3.24  % (2022037)Peak memory usage: 90 MB
% 16.13/3.24  % (2022037)Instructions burned: 128 (million)
% 16.13/3.24  % (2022042)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1987570952:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 16.13/3.24  % (2022041)lrs+10_1_sil=8000:sp=occurrence:random_seed=1233983156:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 16.13/3.24  % (2022044)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2325227361:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 16.13/3.24  % (2022042)Instruction limit reached! 
% 16.13/3.24  % (2022042)------------------------------
% 16.13/3.24  % (2022042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022042)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022042)Termination reason: Instruction limit
% 16.13/3.24  % (2022042)Termination phase: Saturation
% 16.13/3.24  % (2022042)Time elapsed: 0.146 s
% 16.13/3.24  % (2022042)Peak memory usage: 93 MB
% 16.13/3.24  % (2022042)Instructions burned: 441 (million)
% 16.13/3.24  % (2022048)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3689777457:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 16.13/3.24  % (2022048)Instruction limit reached! 
% 16.13/3.24  % (2022048)------------------------------
% 16.13/3.24  % (2022048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022048)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022048)Termination reason: Instruction limit
% 16.13/3.24  % (2022048)Termination phase: Saturation
% 16.13/3.24  % (2022048)Time elapsed: 0.044 s
% 16.13/3.24  % (2022048)Peak memory usage: 92 MB
% 16.13/3.24  % (2022048)Instructions burned: 134 (million)
% 16.13/3.24  % (2022050)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2799028638:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 16.13/3.24  % (2022050)Instruction limit reached! 
% 16.13/3.24  % (2022050)------------------------------
% 16.13/3.24  % (2022050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022050)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022050)Termination reason: Instruction limit
% 16.13/3.24  % (2022050)Termination phase: Saturation
% 16.13/3.24  % (2022050)Time elapsed: 0.183 s
% 16.13/3.24  % (2022050)Peak memory usage: 98 MB
% 16.13/3.24  % (2022050)Instructions burned: 594 (million)
% 16.13/3.24  % (2022041)Instruction limit reached! 
% 16.13/3.24  % (2022041)------------------------------
% 16.13/3.24  % (2022041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022041)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022041)Termination reason: Instruction limit
% 16.13/3.24  % (2022041)Termination phase: Saturation
% 16.13/3.24  % (2022041)Time elapsed: 0.570 s
% 16.13/3.24  % (2022041)Peak memory usage: 101 MB
% 16.13/3.24  % (2022041)Instructions burned: 907 (million)
% 16.13/3.24  % (2022052)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3630269847:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 16.13/3.24  % (2022053)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1014201868:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 16.13/3.24  % (2022053)Instruction limit reached! 
% 16.13/3.24  % (2022053)------------------------------
% 16.13/3.24  % (2022053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022053)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022053)Termination reason: Instruction limit
% 16.13/3.24  % (2022053)Termination phase: Saturation
% 16.13/3.24  % (2022053)Time elapsed: 0.089 s
% 16.13/3.24  % (2022053)Peak memory usage: 91 MB
% 16.13/3.24  % (2022053)Instructions burned: 125 (million)
% 16.13/3.24  % (2022056)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1706982130:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 16.13/3.24  % (2022056)Instruction limit reached! 
% 16.13/3.24  % (2022056)------------------------------
% 16.13/3.24  % (2022056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022056)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022056)Termination reason: Instruction limit
% 16.13/3.24  % (2022056)Termination phase: Saturation
% 16.13/3.24  % (2022056)Time elapsed: 0.082 s
% 16.13/3.24  % (2022056)Peak memory usage: 91 MB
% 16.13/3.24  % (2022056)Instructions burned: 134 (million)
% 16.13/3.24  % (2022058)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=483203623:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 16.13/3.24  % (2021986)First to succeed.
% 16.13/3.24  % (2021986)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2021847"
% 16.13/3.24  % (2022058)Instruction limit reached! 
% 16.13/3.24  % (2022058)------------------------------
% 16.13/3.24  % (2022058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.24  % (2022058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.24  % (2022058)CaDiCaL version: 2.1.3
% 16.13/3.24  % (2022058)Termination reason: Instruction limit
% 16.13/3.24  % (2022058)Termination phase: Saturation
% 16.13/3.24  % (2022058)Time elapsed: 0.085 s
% 16.13/3.24  % (2022058)Peak memory usage: 91 MB
% 16.13/3.24  % (2022058)Instructions burned: 141 (million)
% 16.13/3.24  % (2022052)Also succeeded, but the first one will report.
% 16.13/3.24  % (2022060)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=124269282:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 16.13/3.24  % (2021986)Refutation found. Thanks to Tanya!
% 16.13/3.24  % SZS status Theorem for theBenchmark
% 16.13/3.24  % SZS output start Proof for theBenchmark
% See solution above
% 16.74/3.33  % (2021986)------------------------------
% 16.74/3.33  % (2021986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.74/3.33  % (2021986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.74/3.33  % (2021986)CaDiCaL version: 2.1.3
% 16.74/3.33  % (2021986)Termination reason: Refutation
% 16.74/3.33  % (2021986)Time elapsed: 1.464 s
% 16.74/3.33  % (2021986)Peak memory usage: 144 MB
% 16.74/3.33  % (2021986)Instructions burned: 2266 (million)
% 16.74/3.33  % (2021986)------------------------------
% 16.74/3.33  % (2021986)------------------------------
% 16.74/3.33  % (2021847)Success in time 2.285 s
% 16.74/3.33  % Vampire exiting
%------------------------------------------------------------------------------