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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG087+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 02:38:48 PM UTC 2026

% Result   : Theorem 13.52s 2.81s
% Output   : CNFRefutation 13.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   60 (   9 unt;   2 def)
%            Number of atoms       :  281 (  45 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  325 ( 122   ~; 119   |;  62   &)
%                                         (  11 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :  163 (   0 sgn 136   !;  27   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,axiom,
    ! [X0,X1] :
      ( ( aSet0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( X2 = sdtpldt1(X0,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f25,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

fof(f26,axiom,
    ( aElement0(xz)
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElementOf0(xx,sdtpldt1(xI,xJ)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).

fof(f28,conjecture,
    ? [X0,X1] :
      ( xy = sdtpldt0(X0,X1)
      & aElementOf0(X1,xJ)
      & aElementOf0(X0,xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f29,negated_conjecture,
    ~ ? [X0,X1] :
        ( xy = sdtpldt0(X0,X1)
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f33,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f34,plain,
    ! [X0] :
      ( aIdeal0(X0)
     => ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f33]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ aSet0(X1)
      | ~ aSet0(X0)
      | ! [X2] :
          ( X2 = sdtpldt1(X0,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
            & aSet0(X2) ) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ aSet0(X1)
      | ~ aSet0(X0)
      | ! [X2] :
          ( X2 = sdtpldt1(X0,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
            & aSet0(X2) ) ) ),
    inference(flattening,[],[f60]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | ( ! [X1] :
            ( ~ aElementOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElement0(X3)
                  | aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) != xy
      | ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( ~ sP1(X1,X0)
      | ! [X2] :
          ( ( sdtpldt1(X0,X1) != X2
            | sP0(X2,X0,X1) )
          & ( ~ sP0(X2,X0,X1)
            | X2 = sdtpldt1(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ sP1(X0,X1)
      | ! [X2] :
          ( ( sdtpldt1(X1,X0) != X2
            | sP0(X2,X1,X0) )
          & ( ~ sP0(X2,X1,X0)
            | sdtpldt1(X1,X0) = X2 ) ) ),
    inference(rectify,[],[f70]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X0,X1)
      | sdtpldt1(X1,X0) != X2
      | sP0(X2,X1,X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ aSet0(X1)
      | ~ aSet0(X0)
      | sP1(X1,X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f130,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f25]) ).

fof(f131,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f25]) ).

fof(f133,plain,
    aElementOf0(xy,sdtpldt1(xI,xJ)),
    inference(cnf_transformation,[],[f26]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) != xy
      | ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ sP1(X0,X1)
      | sP0(sdtpldt1(X1,X0),X1,X0) ),
    inference(equality_resolution,[],[f108]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(sdtpldt1(X1,X0),X1,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i] :
      ( sP1(X1,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_96,plain,
    ! [X0: $i] :
      ( aSet0(X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_99,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_100,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_102,plain,
    aElementOf0(xy,sdtpldt1(xI,xJ)),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_107,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI)
      | ( sdtpldt0(X0,X1) != xy ) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_851,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sP0(sdtpldt1(X2,X0),X2,X0)
      | ~ aSet0(X3)
      | ~ aSet0(X1)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_78,c_88]) ).

tcf(c_852,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(sdtpldt1(X1,X0),X1,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(unflattening,[status(thm)],[c_851]) ).

tcf(c_885,plain,
    ! [X0: $i] :
      ( aSet0(X0)
      | ( X0 != xI ) ),
    inference(resolution_lifted,[status(thm)],[c_96,c_99]) ).

tcf(c_886,plain,
    aSet0(xI),
    inference(unflattening,[status(thm)],[c_885]) ).

tcf(c_890,plain,
    ! [X0: $i] :
      ( aSet0(X0)
      | ( X0 != xJ ) ),
    inference(resolution_lifted,[status(thm)],[c_96,c_100]) ).

tcf(c_891,plain,
    aSet0(xJ),
    inference(unflattening,[status(thm)],[c_890]) ).

tcf(c_1594,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI)
      | ( sdtpldt0(X0,X1) != xy ) ),
    inference(demodulation,[status(thm)],[c_107]) ).

tcf(c_3355,plain,
    ! [X0: $i] :
      ( sP0(sdtpldt1(X0,xJ),X0,xJ)
      | ~ aSet0(xJ)
      | ~ aSet0(X0) ),
    inference(instantiation,[status(thm)],[c_852]) ).

tcf(c_4296,plain,
    ( sP0(sdtpldt1(xI,xJ),xI,xJ)
    | ~ aSet0(xJ)
    | ~ aSet0(xI) ),
    inference(instantiation,[status(thm)],[c_3355]) ).

tcf(c_17223,plain,
    ! [X0: $i] :
      ( ~ aElementOf0(X0,xJ)
      | ~ aElementOf0(sK7(xI,xJ,xy),xI)
      | ( sdtpldt0(sK7(xI,xJ,xy),X0) != xy ) ),
    inference(instantiation,[status(thm)],[c_1594]) ).

tcf(c_26578,plain,
    ( ~ aElementOf0(sK8(xI,xJ,xy),xJ)
    | ~ aElementOf0(sK7(xI,xJ,xy),xI)
    | ( sdtpldt0(sK7(xI,xJ,xy),sK8(xI,xJ,xy)) != xy ) ),
    inference(instantiation,[status(thm)],[c_17223]) ).

fof(f66,definition,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ( ! [X3] :
            ( aElementOf0(X3,X2)
          <=> ? [X4,X5] :
                ( sdtpldt0(X4,X5) = X3
                & aElementOf0(X5,X1)
                & aElementOf0(X4,X0) ) )
        & aSet0(X2) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f67,definition,
    ! [X1,X0] :
      ( ~ sP1(X1,X0)
      | ! [X2] :
          ( X2 = sdtpldt1(X0,X1)
        <=> sP0(X2,X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ aSet0(X1)
      | ~ aSet0(X0)
      | sP1(X1,X0) ),
    inference(definition_folding,[],[f61,f67,f66]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP0(X2,X0,X1)
        | ( ! [X3] :
              ( ( ~ aElementOf0(X3,X2)
                | ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
              & ( ! [X4,X5] :
                    ( sdtpldt0(X4,X5) != X3
                    | ~ aElementOf0(X5,X1)
                    | ~ aElementOf0(X4,X0) )
                | aElementOf0(X3,X2) ) )
          & aSet0(X2) ) )
      & ( ? [X3] :
            ( ( aElementOf0(X3,X2)
              | ? [X4,X5] :
                  ( sdtpldt0(X4,X5) = X3
                  & aElementOf0(X5,X1)
                  & aElementOf0(X4,X0) ) )
            & ( ~ aElementOf0(X3,X2)
              | ! [X4,X5] :
                  ( sdtpldt0(X4,X5) != X3
                  | ~ aElementOf0(X5,X1)
                  | ~ aElementOf0(X4,X0) ) ) )
        | ~ aSet0(X2)
        | sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP0(X2,X0,X1)
        | ( ! [X3] :
              ( ( ~ aElementOf0(X3,X2)
                | ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
              & ( ! [X4,X5] :
                    ( sdtpldt0(X4,X5) != X3
                    | ~ aElementOf0(X5,X1)
                    | ~ aElementOf0(X4,X0) )
                | aElementOf0(X3,X2) ) )
          & aSet0(X2) ) )
      & ( ? [X3] :
            ( ( aElementOf0(X3,X2)
              | ? [X4,X5] :
                  ( sdtpldt0(X4,X5) = X3
                  & aElementOf0(X5,X1)
                  & aElementOf0(X4,X0) ) )
            & ( ~ aElementOf0(X3,X2)
              | ! [X4,X5] :
                  ( sdtpldt0(X4,X5) != X3
                  | ~ aElementOf0(X5,X1)
                  | ~ aElementOf0(X4,X0) ) ) )
        | ~ aSet0(X2)
        | sP0(X2,X0,X1) ) ),
    inference(flattening,[],[f72]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ( ! [X8] :
              ( ( ~ aElementOf0(X8,X0)
                | ? [X11,X12] :
                    ( sdtpldt0(X11,X12) = X8
                    & aElementOf0(X12,X2)
                    & aElementOf0(X11,X1) ) )
              & ( ! [X9,X10] :
                    ( sdtpldt0(X9,X10) != X8
                    | ~ aElementOf0(X10,X2)
                    | ~ aElementOf0(X9,X1) )
                | aElementOf0(X8,X0) ) )
          & aSet0(X0) ) )
      & ( ? [X3] :
            ( ( aElementOf0(X3,X0)
              | ? [X6,X7] :
                  ( sdtpldt0(X6,X7) = X3
                  & aElementOf0(X7,X2)
                  & aElementOf0(X6,X1) ) )
            & ( ~ aElementOf0(X3,X0)
              | ! [X4,X5] :
                  ( sdtpldt0(X4,X5) != X3
                  | ~ aElementOf0(X5,X2)
                  | ~ aElementOf0(X4,X1) ) ) )
        | ~ aSet0(X0)
        | sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f73]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ( ! [X8] :
              ( ( ~ aElementOf0(X8,X0)
                | ( sdtpldt0(sK7(X1,X2,X8),sK8(X1,X2,X8)) = X8
                  & aElementOf0(sK8(X1,X2,X8),X2)
                  & aElementOf0(sK7(X1,X2,X8),X1) ) )
              & ( ! [X9,X10] :
                    ( sdtpldt0(X9,X10) != X8
                    | ~ aElementOf0(X10,X2)
                    | ~ aElementOf0(X9,X1) )
                | aElementOf0(X8,X0) ) )
          & aSet0(X0) ) )
      & ( ( ( aElementOf0(sK4(X0,X1,X2),X0)
            | ( sK4(X0,X1,X2) = sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2))
              & aElementOf0(sK6(X0,X1,X2),X2)
              & aElementOf0(sK5(X0,X1,X2),X1) ) )
          & ( ~ aElementOf0(sK4(X0,X1,X2),X0)
            | ! [X4,X5] :
                ( sdtpldt0(X4,X5) != sK4(X0,X1,X2)
                | ~ aElementOf0(X5,X2)
                | ~ aElementOf0(X4,X1) ) ) )
        | ~ aSet0(X0)
        | sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X6,sK5(X0,X1,X2)),skolemize(X7,sK6(X0,X1,X2)),skolemize(X11,sK7(X1,X2,X8)),skolemize(X12,sK8(X1,X2,X8))],[f74]) ).

fof(f110,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP0(X0,X1,X2)
      | ~ aElementOf0(X8,X0)
      | sdtpldt0(sK7(X1,X2,X8),sK8(X1,X2,X8)) = X8 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f111,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP0(X0,X1,X2)
      | ~ aElementOf0(X8,X0)
      | aElementOf0(sK8(X1,X2,X8),X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f112,plain,
    ! [X2,X0,X1,X8] :
      ( ~ sP0(X0,X1,X2)
      | ~ aElementOf0(X8,X0)
      | aElementOf0(sK7(X1,X2,X8),X1) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( aElementOf0(sK7(X1,X2,X3),X1)
      | ~ aElementOf0(X3,X0)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( aElementOf0(sK8(X1,X2,X3),X2)
      | ~ aElementOf0(X3,X0)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sdtpldt0(sK7(X1,X2,X3),sK8(X1,X2,X3)) = X3 )
      | ~ aElementOf0(X3,X0)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_2907,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(sK7(X0,X1,xy),X0)
      | ~ aElementOf0(xy,sdtpldt1(xI,xJ))
      | ~ sP0(sdtpldt1(xI,xJ),X0,X1) ),
    inference(instantiation,[status(thm)],[c_85]) ).

tcf(c_2956,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(sK8(X0,X1,xy),X1)
      | ~ aElementOf0(xy,sdtpldt1(xI,xJ))
      | ~ sP0(sdtpldt1(xI,xJ),X0,X1) ),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_3098,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtpldt0(sK7(X0,X1,xy),sK8(X0,X1,xy)) = xy )
      | ~ aElementOf0(xy,sdtpldt1(xI,xJ))
      | ~ sP0(sdtpldt1(xI,xJ),X0,X1) ),
    inference(instantiation,[status(thm)],[c_87]) ).

tcf(c_8032,plain,
    ( ( sdtpldt0(sK7(xI,xJ,xy),sK8(xI,xJ,xy)) = xy )
    | ~ aElementOf0(xy,sdtpldt1(xI,xJ))
    | ~ sP0(sdtpldt1(xI,xJ),xI,xJ) ),
    inference(instantiation,[status(thm)],[c_3098]) ).

tcf(c_8034,plain,
    ( aElementOf0(sK8(xI,xJ,xy),xJ)
    | ~ aElementOf0(xy,sdtpldt1(xI,xJ))
    | ~ sP0(sdtpldt1(xI,xJ),xI,xJ) ),
    inference(instantiation,[status(thm)],[c_2956]) ).

tcf(c_8036,plain,
    ( aElementOf0(sK7(xI,xJ,xy),xI)
    | ~ aElementOf0(xy,sdtpldt1(xI,xJ))
    | ~ sP0(sdtpldt1(xI,xJ),xI,xJ) ),
    inference(instantiation,[status(thm)],[c_2907]) ).

tcf(c_26579,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_26578,c_8032,c_8034,c_8036,c_4296,c_891,c_886,c_102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : RNG087+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n001.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 08:15:08 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 13.52/2.81  % SZS status Started for theBenchmark.p
% 13.52/2.81  % SZS status Theorem for theBenchmark.p
% 13.52/2.81  
% 13.52/2.81  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.52/2.81  
% 13.52/2.81  % ------  iProver source info
% 13.52/2.81  
% 13.52/2.81  % git: date: 2026-07-19 20:42:38 +0200
% 13.52/2.81  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.52/2.81  % git: non_committed_changes: false
% 13.52/2.81  
% 13.52/2.81  % ------ Parsing...
% 13.52/2.81  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 13.52/2.81  
% 13.52/2.81  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e % 
% 13.52/2.81  
% 13.52/2.81  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 13.52/2.81  
% 13.52/2.81  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 13.52/2.81  % ------ Proving...
% 13.52/2.81  % ------ Problem Properties 
% 13.52/2.81  
% 13.52/2.81  % 
% 13.52/2.81  % clauses                               59
% 13.52/2.81  % conjectures                           1
% 13.52/2.81  % EPR                                   10
% 13.52/2.81  % Horn                                  50
% 13.52/2.81  % unary                                 11
% 13.52/2.81  % binary                                12
% 13.52/2.81  % lits                                  179
% 13.52/2.81  % lits eq                               33
% 13.52/2.81  % fd_pure                               0
% 13.52/2.81  % fd_pseudo                             0
% 13.52/2.81  % fd_cond                               1
% 13.52/2.81  % fd_pseudo_cond                        8
% 13.52/2.81  % AC symbols                            0
% 13.52/2.81  
% 13.52/2.81  % ------ Schedule dynamic 5 is on 
% 13.52/2.81  
% 13.52/2.81  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.52/2.81  
% 13.52/2.81  
% 13.52/2.81  % ------ 
% 13.52/2.81  % Current options:
% 13.52/2.81  % ------ 
% 13.52/2.81  
% 13.52/2.81  
% 13.52/2.81  % 
% 13.52/2.81  
% 13.52/2.81  % ------ Proving...
% 13.52/2.81  % 
% 13.52/2.81  
% 13.52/2.81  % SZS status Theorem for theBenchmark.p
% 13.52/2.81  
% 13.52/2.81  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.52/2.81  
% 13.52/2.81  
%------------------------------------------------------------------------------