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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU280+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n006.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 : Fri Sep 25 02:56:28 PM UTC 2026

% Result   : Theorem 3.44s 1.31s
% Output   : CNFRefutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   83 (   4 unt;   1 def)
%            Number of atoms       :  304 (  74 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  308 ( 104   ~; 134   |;  58   &)
%                                         (   7 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :  139 (   0 sgn 102   !;  37   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( in(X2,X1)
    <=> ( ordinal(X2)
        & in(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
      ? [X1] :
      ! [X2] :
        ( in(X2,X1)
      <=> ( ordinal(X2)
          & in(X2,X0) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f7,axiom,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( ordinal(X3)
            & X1 = X3
            & ordinal(X2)
            & X1 = X2 )
         => X2 = X3 )
     => ? [X1] :
        ! [X2] :
          ( in(X2,X1)
        <=> ? [X3] :
              ( ordinal(X2)
              & X3 = X2
              & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).

fof(f8,plain,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( ordinal(X3)
            & X1 = X3
            & ordinal(X2)
            & X1 = X2 )
         => X2 = X3 )
     => ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( ordinal(X5)
              & X5 = X6
              & in(X6,X0) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f9,plain,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( in(X2,X1)
    <~> ( ordinal(X2)
        & in(X2,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f14,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ordinal(X3)
          & X1 = X3
          & ordinal(X2)
          & X1 = X2
          & X2 != X3 )
      | ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( ordinal(X5)
              & X5 = X6
              & in(X6,X0) ) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f15,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ordinal(X3)
          & X1 = X3
          & ordinal(X2)
          & X1 = X2
          & X2 != X3 )
      | ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( ordinal(X5)
              & X5 = X6
              & in(X6,X0) ) ) ),
    inference(flattening,[],[f14]) ).

fof(f18,plain,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( in(X2,X1)
        | ( ordinal(X2)
          & in(X2,X0) ) )
      & ( ~ in(X2,X1)
        | ~ ordinal(X2)
        | ~ in(X2,X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f19,plain,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( in(X2,X1)
        | ( ordinal(X2)
          & in(X2,X0) ) )
      & ( ~ in(X2,X1)
        | ~ ordinal(X2)
        | ~ in(X2,X0) ) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X1] :
      ( ( in(sK2(X1),X1)
        | ( ordinal(sK2(X1))
          & in(sK2(X1),sK1) ) )
      & ( ~ in(sK2(X1),X1)
        | ~ ordinal(sK2(X1))
        | ~ in(sK2(X1),sK1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X2,sK2(X1))],[f19]) ).

fof(f25,plain,
    ! [X0] :
      ( sP0
      | ? [X4] :
        ! [X5] :
          ( ( ~ in(X5,X4)
            | ? [X6] :
                ( ordinal(X5)
                & X5 = X6
                & in(X6,X0) ) )
          & ( ! [X6] :
                ( ~ ordinal(X5)
                | X5 != X6
                | ~ in(X6,X0) )
            | in(X5,X4) ) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f26,plain,
    ! [X0] :
      ( sP0
      | ? [X1] :
        ! [X2] :
          ( ( ~ in(X2,X1)
            | ? [X4] :
                ( ordinal(X2)
                & X2 = X4
                & in(X4,X0) ) )
          & ( ! [X3] :
                ( ~ ordinal(X2)
                | X2 != X3
                | ~ in(X3,X0) )
            | in(X2,X1) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f27,plain,
    ! [X0] :
      ( sP0
      | ! [X2] :
          ( ( ~ in(X2,sK7(X0))
            | ( ordinal(X2)
              & sK8(X0,X2) = X2
              & in(sK8(X0,X2),X0) ) )
          & ( ! [X3] :
                ( ~ ordinal(X2)
                | X2 != X3
                | ~ in(X3,X0) )
            | in(X2,sK7(X0)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X4,sK8(X0,X2))],[f26]) ).

fof(f28,plain,
    ! [X1] :
      ( in(sK2(X1),X1)
      | ordinal(sK2(X1)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f29,plain,
    ! [X1] :
      ( in(sK2(X1),X1)
      | in(sK2(X1),sK1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f30,plain,
    ! [X1] :
      ( ~ in(sK2(X1),X1)
      | ~ ordinal(sK2(X1))
      | ~ in(sK2(X1),sK1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f43,plain,
    ! [X2,X0] :
      ( sP0
      | ~ in(X2,sK7(X0))
      | ordinal(X2) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f44,plain,
    ! [X2,X0] :
      ( sP0
      | ~ in(X2,sK7(X0))
      | sK8(X0,X2) = X2 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f45,plain,
    ! [X2,X0] :
      ( sP0
      | ~ in(X2,sK7(X0))
      | in(sK8(X0,X2),X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f46,plain,
    ! [X2,X3,X0] :
      ( sP0
      | ~ ordinal(X2)
      | X2 != X3
      | ~ in(X3,X0)
      | in(X2,sK7(X0)) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f47,plain,
    ! [X3,X0] :
      ( sP0
      | ~ ordinal(X3)
      | ~ in(X3,X0)
      | in(X3,sK7(X0)) ),
    inference(equality_resolution,[],[f46]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i] :
      ( ~ ordinal(sK2(X0))
      | ~ in(sK2(X0),sK1)
      | ~ in(sK2(X0),X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_50,negated_conjecture,
    ! [X0: $i] :
      ( in(sK2(X0),sK1)
      | in(sK2(X0),X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i] :
      ( ordinal(sK2(X0))
      | in(sK2(X0),X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | in(X0,sK7(X1))
      | ~ ordinal(X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | in(sK8(X1,X0),X1)
      | ~ in(X0,sK7(X1)) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ( sK8(X1,X0) = X0 )
      | ~ in(X0,sK7(X1)) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ordinal(X0)
      | ~ in(X0,sK7(X1)) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_1224,negated_conjecture,
    ! [X0: $i] :
      ( ordinal(sK2(X0))
      | in(sK2(X0),X0) ),
    inference(demodulation,[status(thm)],[c_51]) ).

tcf(c_1225,negated_conjecture,
    ! [X0: $i] :
      ( in(sK2(X0),sK1)
      | in(sK2(X0),X0) ),
    inference(demodulation,[status(thm)],[c_50]) ).

tcf(c_1226,negated_conjecture,
    ! [X0: $i] :
      ( ~ ordinal(sK2(X0))
      | ~ in(sK2(X0),sK1)
      | ~ in(sK2(X0),X0) ),
    inference(demodulation,[status(thm)],[c_49]) ).

tcf(c_1229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_1533,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ( sK8(X1,X0) = X0 )
      | ~ ordinal(X0)
      | ~ in(X0,X1) ),
    inference(superposition,[status(thm)],[c_64,c_66]) ).

tcf(c_1633,plain,
    ! [X0: $i] :
      ( sP0
      | in(sK2(X0),X0)
      | ( sK8(sK1,sK2(X0)) = sK2(X0) )
      | ~ ordinal(sK2(X0)) ),
    inference(superposition,[status(thm)],[c_1225,c_1533]) ).

tcf(c_1666,plain,
    ! [X0: $i] :
      ( ( sK5 = sK6 )
      | ( sK6 != X0 )
      | ( sK5 != X0 ) ),
    inference(instantiation,[status(thm)],[c_1229]) ).

tcf(c_1729,plain,
    ( ( sK5 = sK6 )
    | ( sK6 != sK4 )
    | ( sK5 != sK4 ) ),
    inference(instantiation,[status(thm)],[c_1666]) ).

tcf(c_1868,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ordinal(sK2(X0))
      | ~ in(sK2(X0),sK7(X1)) ),
    inference(instantiation,[status(thm)],[c_67]) ).

tcf(c_1878,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | in(sK2(X0),sK7(X1))
      | ~ ordinal(sK2(X0))
      | ~ in(sK2(X0),X1) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_1913,plain,
    ! [X0: $i] :
      ( in(sK2(sK7(X0)),sK1)
      | in(sK2(sK7(X0)),sK7(X0)) ),
    inference(instantiation,[status(thm)],[c_1225]) ).

tcf(c_1914,plain,
    ! [X0: $i] :
      ( ordinal(sK2(sK7(X0)))
      | in(sK2(sK7(X0)),sK7(X0)) ),
    inference(instantiation,[status(thm)],[c_1224]) ).

tcf(c_2077,plain,
    ! [X0: $i] :
      ( ~ ordinal(sK2(sK7(X0)))
      | ~ in(sK2(sK7(X0)),sK1)
      | ~ in(sK2(sK7(X0)),sK7(X0)) ),
    inference(instantiation,[status(thm)],[c_1226]) ).

tcf(c_2210,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | in(sK2(sK7(X0)),sK7(X1))
      | ~ ordinal(sK2(sK7(X0)))
      | ~ in(sK2(sK7(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_1878]) ).

tcf(c_2471,plain,
    ! [X0: $i] :
      ( sP0
      | in(sK2(sK7(X0)),sK7(sK1))
      | ~ ordinal(sK2(sK7(X0)))
      | ~ in(sK2(sK7(X0)),sK1) ),
    inference(instantiation,[status(thm)],[c_2210]) ).

tcf(c_2784,plain,
    ! [X0: $i] :
      ( sP0
      | ordinal(sK2(sK7(X0)))
      | ~ in(sK2(sK7(X0)),sK7(sK1)) ),
    inference(instantiation,[status(thm)],[c_1868]) ).

tcf(c_2786,plain,
    ( sP0
    | in(sK2(sK7(sK1)),sK7(sK1))
    | ~ ordinal(sK2(sK7(sK1)))
    | ~ in(sK2(sK7(sK1)),sK1) ),
    inference(instantiation,[status(thm)],[c_2471]) ).

tcf(c_2787,plain,
    ( ~ ordinal(sK2(sK7(sK1)))
    | ~ in(sK2(sK7(sK1)),sK1)
    | ~ in(sK2(sK7(sK1)),sK7(sK1)) ),
    inference(instantiation,[status(thm)],[c_2077]) ).

tcf(c_3114,plain,
    ( ordinal(sK2(sK7(sK1)))
    | in(sK2(sK7(sK1)),sK7(sK1)) ),
    inference(instantiation,[status(thm)],[c_1914]) ).

tcf(c_3126,plain,
    ( sP0
    | ordinal(sK2(sK7(sK1)))
    | ~ in(sK2(sK7(sK1)),sK7(sK1)) ),
    inference(instantiation,[status(thm)],[c_2784]) ).

tcf(c_3139,plain,
    ( in(sK2(sK7(sK1)),sK1)
    | in(sK2(sK7(sK1)),sK7(sK1)) ),
    inference(instantiation,[status(thm)],[c_1913]) ).

fof(f16,definition,
    ( ~ sP0
    | ? [X1,X2,X3] :
        ( ordinal(X3)
        & X1 = X3
        & ordinal(X2)
        & X1 = X2
        & X2 != X3 ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f17,plain,
    ! [X0] :
      ( sP0
      | ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( ordinal(X5)
              & X5 = X6
              & in(X6,X0) ) ) ),
    inference(definition_folding,[],[f15,f16]) ).

fof(f22,plain,
    ( ~ sP0
    | ? [X1,X2,X3] :
        ( ordinal(X3)
        & X1 = X3
        & ordinal(X2)
        & X1 = X2
        & X2 != X3 ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f23,plain,
    ( ~ sP0
    | ? [X0,X1,X2] :
        ( ordinal(X2)
        & X0 = X2
        & ordinal(X1)
        & X0 = X1
        & X1 != X2 ) ),
    inference(rectify,[],[f22]) ).

fof(f24,plain,
    ( ~ sP0
    | ( ordinal(sK6)
      & sK4 = sK6
      & ordinal(sK5)
      & sK4 = sK5
      & sK5 != sK6 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f23]) ).

fof(f39,plain,
    ( ~ sP0
    | sK4 = sK6 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f40,plain,
    ( ~ sP0
    | ordinal(sK5) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f41,plain,
    ( ~ sP0
    | sK4 = sK5 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f42,plain,
    ( ~ sP0
    | sK5 != sK6 ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_59,plain,
    ( ~ sP0
    | ( sK5 != sK6 ) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_60,plain,
    ( ( sK5 = sK4 )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_61,plain,
    ( ordinal(sK5)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_62,plain,
    ( ( sK6 = sK4 )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_1784,plain,
    ! [X0: $i] :
      ( ( sK8(sK1,sK2(X0)) = sK2(X0) )
      | in(sK2(X0),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1633,c_62,c_60,c_51,c_59,c_1633,c_1729]) ).

tcf(c_1785,plain,
    ! [X0: $i] :
      ( in(sK2(X0),X0)
      | ( sK8(sK1,sK2(X0)) = sK2(X0) ) ),
    inference(renaming,[status(thm)],[c_1784]) ).

tcf(c_1796,plain,
    ! [X0: $i] :
      ( sP0
      | ( sK8(sK1,sK2(sK7(X0))) = sK2(sK7(X0)) )
      | ( sK8(X0,sK2(sK7(X0))) = sK2(sK7(X0)) ) ),
    inference(superposition,[status(thm)],[c_1785,c_66]) ).

tcf(c_1989,plain,
    ~ sP0,
    inference(global_subsumption_just,[status(thm)],[c_61,c_62,c_60,c_59,c_1729]) ).

tcf(c_2007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ in(X0,sK7(X1))
      | ordinal(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_62,c_60,c_59,c_67,c_1729]) ).

tcf(c_2008,plain,
    ! [X0: $i,X1: $i] :
      ( ordinal(X0)
      | ~ in(X0,sK7(X1)) ),
    inference(renaming,[status(thm)],[c_2007]) ).

tcf(c_2014,plain,
    ! [X0: $i] : ordinal(sK2(sK7(X0))),
    inference(superposition,[status(thm)],[c_1224,c_2008]) ).

tcf(c_2331,plain,
    ! [X0: $i,X1: $i] :
      ( ~ in(X0,X1)
      | ~ ordinal(X0)
      | in(X0,sK7(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_62,c_60,c_59,c_64,c_1729]) ).

tcf(c_2332,plain,
    ! [X0: $i,X1: $i] :
      ( in(X0,sK7(X1))
      | ~ ordinal(X0)
      | ~ in(X0,X1) ),
    inference(renaming,[status(thm)],[c_2331]) ).

tcf(c_2364,plain,
    ! [X0: $i,X1: $i] :
      ( ~ in(X0,sK7(X1))
      | ( sK8(X1,X0) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_62,c_60,c_59,c_66,c_1729]) ).

tcf(c_2365,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK8(X1,X0) = X0 )
      | ~ in(X0,sK7(X1)) ),
    inference(renaming,[status(thm)],[c_2364]) ).

tcf(c_2371,plain,
    ! [X0: $i] :
      ( in(sK2(sK7(X0)),sK1)
      | ( sK8(X0,sK2(sK7(X0))) = sK2(sK7(X0)) ) ),
    inference(superposition,[status(thm)],[c_1225,c_2365]) ).

tcf(c_2373,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK8(X1,X0) = X0 )
      | ~ ordinal(X0)
      | ~ in(X0,X1) ),
    inference(superposition,[status(thm)],[c_2332,c_2365]) ).

tcf(c_2713,plain,
    ! [X0: $i] :
      ( ( sK8(sK1,sK2(sK7(X0))) = sK2(sK7(X0)) )
      | ( sK8(X0,sK2(sK7(X0))) = sK2(sK7(X0)) )
      | ~ ordinal(sK2(sK7(X0))) ),
    inference(superposition,[status(thm)],[c_2371,c_2373]) ).

tcf(c_2726,plain,
    ! [X0: $i] :
      ( ( sK8(sK1,sK2(sK7(X0))) = sK2(sK7(X0)) )
      | ( sK8(X0,sK2(sK7(X0))) = sK2(sK7(X0)) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2713,c_2014]) ).

tcf(c_3499,plain,
    ! [X0: $i] :
      ( ( sK8(X0,sK2(sK7(X0))) = sK2(sK7(X0)) )
      | ( sK8(sK1,sK2(sK7(X0))) = sK2(sK7(X0)) ) ),
    inference(global_subsumption_just,[status(thm)],[c_1796,c_2726]) ).

tcf(c_3500,plain,
    ! [X0: $i] :
      ( ( sK8(sK1,sK2(sK7(X0))) = sK2(sK7(X0)) )
      | ( sK8(X0,sK2(sK7(X0))) = sK2(sK7(X0)) ) ),
    inference(renaming,[status(thm)],[c_3499]) ).

tcf(c_3516,plain,
    ( ( sK8(sK1,sK2(sK7(sK1))) = sK2(sK7(sK1)) )
    | ( sK2(sK7(sK1)) != sK2(sK7(sK1)) ) ),
    inference(equality_factoring,[status(thm)],[c_3500]) ).

tcf(c_3518,plain,
    sK8(sK1,sK2(sK7(sK1))) = sK2(sK7(sK1)),
    inference(equality_resolution_simp,[status(thm)],[c_3516]) ).

tcf(c_3678,plain,
    ( sP0
    | in(sK2(sK7(sK1)),sK1)
    | ~ in(sK2(sK7(sK1)),sK7(sK1)) ),
    inference(superposition,[status(thm)],[c_3518,c_65]) ).

tcf(c_3726,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3678,c_3139,c_3126,c_3114,c_2787,c_2786,c_1989]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU280+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n006.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Thu Sep 24 13:31:11 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44  
% 0.11/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44  
% 0.11/0.44  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 3.44/1.31  % SZS status Started for theBenchmark.p
% 3.44/1.31  % SZS status Theorem for theBenchmark.p
% 3.44/1.31  
% 3.44/1.31  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.44/1.31  
% 3.44/1.31  % ------  iProver source info
% 3.44/1.31  
% 3.44/1.31  % git: date: 2026-07-19 20:42:38 +0200
% 3.44/1.31  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.44/1.31  % git: non_committed_changes: false
% 3.44/1.31  
% 3.44/1.31  % ------ Parsing...
% 3.44/1.31  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.44/1.31  
% 3.44/1.31  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 3.44/1.31  
% 3.44/1.31  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.44/1.31  
% 3.44/1.31  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.44/1.31  % ------ Proving...
% 3.44/1.31  % ------ Problem Properties 
% 3.44/1.31  
% 3.44/1.31  % 
% 3.44/1.31  % clauses                               14
% 3.44/1.31  % conjectures                           3
% 3.44/1.31  % EPR                                   7
% 3.44/1.31  % Horn                                  8
% 3.44/1.31  % unary                                 1
% 3.44/1.31  % binary                                8
% 3.44/1.31  % lits                                  33
% 3.44/1.31  % lits eq                               4
% 3.44/1.31  % fd_pure                               0
% 3.44/1.31  % fd_pseudo                             0
% 3.44/1.31  % fd_cond                               0
% 3.44/1.31  % fd_pseudo_cond                        0
% 3.44/1.31  % AC symbols                            0
% 3.44/1.31  
% 3.44/1.31  % ------ Schedule dynamic 5 is on 
% 3.44/1.31  
% 3.44/1.31  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.44/1.31  
% 3.44/1.31  
% 3.44/1.31  % ------ 
% 3.44/1.31  % Current options:
% 3.44/1.31  % ------ 
% 3.44/1.31  
% 3.44/1.31  
% 3.44/1.31  % 
% 3.44/1.31  
% 3.44/1.31  % ------ Proving...
% 3.44/1.31  % 
% 3.44/1.31  
% 3.44/1.31  % SZS status Theorem for theBenchmark.p
% 3.44/1.31  
% 3.44/1.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.44/1.31  
% 3.44/1.31  
%------------------------------------------------------------------------------