TSTP Solution File: RNG093+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:57:37 EDT 2024

% Result   : Theorem 0.46s 1.14s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xJ) )
          & ! [X1] :
              ( aElementOf0(X1,xJ)
             => aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & ! [X0] :
        ( aElementOf0(X0,xI)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xI) )
          & ! [X1] :
              ( aElementOf0(X1,xI)
             => aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
    & aSet0(xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1150) ).

fof(f27,conjecture,
    ( ( ! [X0] :
          ( aElementOf0(X0,sdtasasdt0(xI,xJ))
        <=> ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) ) )
      & aSet0(sdtasasdt0(xI,xJ)) )
   => ( aIdeal0(sdtasasdt0(xI,xJ))
      | ! [X0] :
          ( aElementOf0(X0,sdtasasdt0(xI,xJ))
         => ( ! [X1] :
                ( aElement0(X1)
               => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
            & ! [X1] :
                ( aElementOf0(X1,sdtasasdt0(xI,xJ))
               => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f28,negated_conjecture,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          <=> ( aElementOf0(X0,xJ)
              & aElementOf0(X0,xI) ) )
        & aSet0(sdtasasdt0(xI,xJ)) )
     => ( aIdeal0(sdtasasdt0(xI,xJ))
        | ! [X0] :
            ( aElementOf0(X0,sdtasasdt0(xI,xJ))
           => ( ! [X1] :
                  ( aElement0(X1)
                 => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
              & ! [X1] :
                  ( aElementOf0(X1,sdtasasdt0(xI,xJ))
                 => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f33,plain,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xJ) )
          & ! [X2] :
              ( aElementOf0(X2,xJ)
             => aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & ! [X3] :
        ( aElementOf0(X3,xI)
       => ( ! [X4] :
              ( aElement0(X4)
             => aElementOf0(sdtasdt0(X4,X3),xI) )
          & ! [X5] :
              ( aElementOf0(X5,xI)
             => aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
    & aSet0(xI) ),
    inference(rectify,[],[f26]) ).

fof(f34,plain,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          <=> ( aElementOf0(X0,xJ)
              & aElementOf0(X0,xI) ) )
        & aSet0(sdtasasdt0(xI,xJ)) )
     => ( aIdeal0(sdtasasdt0(xI,xJ))
        | ! [X1] :
            ( aElementOf0(X1,sdtasasdt0(xI,xJ))
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ)) )
              & ! [X3] :
                  ( aElementOf0(X3,sdtasasdt0(xI,xJ))
                 => aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ)) ) ) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f67,plain,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( ( ! [X1] :
              ( aElementOf0(sdtasdt0(X1,X0),xJ)
              | ~ aElement0(X1) )
          & ! [X2] :
              ( aElementOf0(sdtpldt0(X0,X2),xJ)
              | ~ aElementOf0(X2,xJ) ) )
        | ~ aElementOf0(X0,xJ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & ! [X3] :
        ( ( ! [X4] :
              ( aElementOf0(sdtasdt0(X4,X3),xI)
              | ~ aElement0(X4) )
          & ! [X5] :
              ( aElementOf0(sdtpldt0(X3,X5),xI)
              | ~ aElementOf0(X5,xI) ) )
        | ~ aElementOf0(X3,xI) )
    & aSet0(xI) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f68,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( aElementOf0(X0,sdtasasdt0(xI,xJ))
      <=> ( aElementOf0(X0,xJ)
          & aElementOf0(X0,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f69,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( aElementOf0(X0,sdtasasdt0(xI,xJ))
      <=> ( aElementOf0(X0,xJ)
          & aElementOf0(X0,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(flattening,[],[f68]) ).

fof(f96,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X0,xJ)
          | ~ aElementOf0(X0,xI) )
        & ( ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) )
          | ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f97,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(X1,X3),sdtasasdt0(xI,xJ))
              & aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X1,sdtasasdt0(xI,xJ)) )
    & ! [X0] :
        ( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X0,xJ)
          | ~ aElementOf0(X0,xI) )
        & ( ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) )
          | ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(flattening,[],[f96]) ).

fof(f98,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X0] :
        ( ( ? [X1] :
              ( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
              & aElement0(X1) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X0,sdtasasdt0(xI,xJ)) )
    & ! [X3] :
        ( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X3,xJ)
          | ~ aElementOf0(X3,xI) )
        & ( ( aElementOf0(X3,xJ)
            & aElementOf0(X3,xI) )
          | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(rectify,[],[f97]) ).

fof(f99,plain,
    ( ? [X0] :
        ( ( ? [X1] :
              ( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
              & aElement0(X1) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
        & aElementOf0(X0,sdtasasdt0(xI,xJ)) )
   => ( ( ? [X1] :
            ( ~ aElementOf0(sdtasdt0(X1,sK13),sdtasasdt0(xI,xJ))
            & aElement0(X1) )
        | ? [X2] :
            ( ~ aElementOf0(sdtpldt0(sK13,X2),sdtasasdt0(xI,xJ))
            & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) )
      & aElementOf0(sK13,sdtasasdt0(xI,xJ)) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ( ? [X1] :
        ( ~ aElementOf0(sdtasdt0(X1,sK13),sdtasasdt0(xI,xJ))
        & aElement0(X1) )
   => ( ~ aElementOf0(sdtasdt0(sK14,sK13),sdtasasdt0(xI,xJ))
      & aElement0(sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ( ? [X2] :
        ( ~ aElementOf0(sdtpldt0(sK13,X2),sdtasasdt0(xI,xJ))
        & aElementOf0(X2,sdtasasdt0(xI,xJ)) )
   => ( ~ aElementOf0(sdtpldt0(sK13,sK15),sdtasasdt0(xI,xJ))
      & aElementOf0(sK15,sdtasasdt0(xI,xJ)) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ( ( ~ aElementOf0(sdtasdt0(sK14,sK13),sdtasasdt0(xI,xJ))
        & aElement0(sK14) )
      | ( ~ aElementOf0(sdtpldt0(sK13,sK15),sdtasasdt0(xI,xJ))
        & aElementOf0(sK15,sdtasasdt0(xI,xJ)) ) )
    & aElementOf0(sK13,sdtasasdt0(xI,xJ))
    & ! [X3] :
        ( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X3,xJ)
          | ~ aElementOf0(X3,xI) )
        & ( ( aElementOf0(X3,xJ)
            & aElementOf0(X3,xI) )
          | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f98,f101,f100,f99]) ).

fof(f160,plain,
    ! [X3,X5] :
      ( aElementOf0(sdtpldt0(X3,X5),xI)
      | ~ aElementOf0(X5,xI)
      | ~ aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f161,plain,
    ! [X3,X4] :
      ( aElementOf0(sdtasdt0(X4,X3),xI)
      | ~ aElement0(X4)
      | ~ aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f164,plain,
    ! [X2,X0] :
      ( aElementOf0(sdtpldt0(X0,X2),xJ)
      | ~ aElementOf0(X2,xJ)
      | ~ aElementOf0(X0,xJ) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( aElementOf0(sdtasdt0(X1,X0),xJ)
      | ~ aElement0(X1)
      | ~ aElementOf0(X0,xJ) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f168,plain,
    ! [X3] :
      ( aElementOf0(X3,xI)
      | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f169,plain,
    ! [X3] :
      ( aElementOf0(X3,xJ)
      | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f170,plain,
    ! [X3] :
      ( aElementOf0(X3,sdtasasdt0(xI,xJ))
      | ~ aElementOf0(X3,xJ)
      | ~ aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f171,plain,
    aElementOf0(sK13,sdtasasdt0(xI,xJ)),
    inference(cnf_transformation,[],[f102]) ).

fof(f172,plain,
    ( aElement0(sK14)
    | aElementOf0(sK15,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f173,plain,
    ( aElement0(sK14)
    | ~ aElementOf0(sdtpldt0(sK13,sK15),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f174,plain,
    ( ~ aElementOf0(sdtasdt0(sK14,sK13),sdtasasdt0(xI,xJ))
    | aElementOf0(sK15,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f175,plain,
    ( ~ aElementOf0(sdtasdt0(sK14,sK13),sdtasasdt0(xI,xJ))
    | ~ aElementOf0(sdtpldt0(sK13,sK15),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_106,plain,
    ( ~ aElementOf0(X0,xJ)
    | ~ aElement0(X1)
    | aElementOf0(sdtasdt0(X1,X0),xJ) ),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_107,plain,
    ( ~ aElementOf0(X0,xJ)
    | ~ aElementOf0(X1,xJ)
    | aElementOf0(sdtpldt0(X0,X1),xJ) ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_110,plain,
    ( ~ aElementOf0(X0,xI)
    | ~ aElement0(X1)
    | aElementOf0(sdtasdt0(X1,X0),xI) ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_111,plain,
    ( ~ aElementOf0(X0,xI)
    | ~ aElementOf0(X1,xI)
    | aElementOf0(sdtpldt0(X1,X0),xI) ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_114,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(sK13,sK15),sdtasasdt0(xI,xJ))
    | ~ aElementOf0(sdtasdt0(sK14,sK13),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_115,negated_conjecture,
    ( ~ aElementOf0(sdtasdt0(sK14,sK13),sdtasasdt0(xI,xJ))
    | aElementOf0(sK15,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_116,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(sK13,sK15),sdtasasdt0(xI,xJ))
    | aElement0(sK14) ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_117,negated_conjecture,
    ( aElementOf0(sK15,sdtasasdt0(xI,xJ))
    | aElement0(sK14) ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_118,negated_conjecture,
    aElementOf0(sK13,sdtasasdt0(xI,xJ)),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_119,negated_conjecture,
    ( ~ aElementOf0(X0,xJ)
    | ~ aElementOf0(X0,xI)
    | aElementOf0(X0,sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_120,negated_conjecture,
    ( ~ aElementOf0(X0,sdtasasdt0(xI,xJ))
    | aElementOf0(X0,xJ) ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_121,negated_conjecture,
    ( ~ aElementOf0(X0,sdtasasdt0(xI,xJ))
    | aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_3211,plain,
    sdtpldt0(sK13,sK15) = sP1_iProver_def,
    definition ).

cnf(c_3212,plain,
    sdtasdt0(sK14,sK13) = sP2_iProver_def,
    definition ).

cnf(c_3214,negated_conjecture,
    ( ~ aElementOf0(X0,sP0_iProver_def)
    | aElementOf0(X0,xI) ),
    inference(demodulation,[status(thm)],[c_121]) ).

cnf(c_3215,negated_conjecture,
    ( ~ aElementOf0(X0,sP0_iProver_def)
    | aElementOf0(X0,xJ) ),
    inference(demodulation,[status(thm)],[c_120]) ).

cnf(c_3216,negated_conjecture,
    ( ~ aElementOf0(X0,xJ)
    | ~ aElementOf0(X0,xI)
    | aElementOf0(X0,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_119]) ).

cnf(c_3217,negated_conjecture,
    aElementOf0(sK13,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_118]) ).

cnf(c_3218,negated_conjecture,
    ( aElementOf0(sK15,sP0_iProver_def)
    | aElement0(sK14) ),
    inference(demodulation,[status(thm)],[c_117]) ).

cnf(c_3219,negated_conjecture,
    ( ~ aElementOf0(sP1_iProver_def,sP0_iProver_def)
    | aElement0(sK14) ),
    inference(demodulation,[status(thm)],[c_116,c_3211]) ).

cnf(c_3220,negated_conjecture,
    ( ~ aElementOf0(sP2_iProver_def,sP0_iProver_def)
    | aElementOf0(sK15,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_115,c_3212]) ).

cnf(c_3221,negated_conjecture,
    ( ~ aElementOf0(sP1_iProver_def,sP0_iProver_def)
    | ~ aElementOf0(sP2_iProver_def,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_114]) ).

cnf(c_4280,plain,
    aElementOf0(sK13,xI),
    inference(superposition,[status(thm)],[c_3217,c_3214]) ).

cnf(c_4288,plain,
    aElementOf0(sK13,xJ),
    inference(superposition,[status(thm)],[c_3217,c_3215]) ).

cnf(c_5085,plain,
    ( ~ aElementOf0(sK13,xJ)
    | ~ aElement0(sK14)
    | aElementOf0(sP2_iProver_def,xJ) ),
    inference(superposition,[status(thm)],[c_3212,c_106]) ).

cnf(c_5099,plain,
    ( ~ aElement0(sK14)
    | aElementOf0(sP2_iProver_def,xJ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5085,c_4288]) ).

cnf(c_5124,plain,
    ( ~ aElementOf0(sK13,xI)
    | ~ aElement0(sK14)
    | aElementOf0(sP2_iProver_def,xI) ),
    inference(superposition,[status(thm)],[c_3212,c_110]) ).

cnf(c_5137,plain,
    ( ~ aElement0(sK14)
    | aElementOf0(sP2_iProver_def,xI) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5124,c_4280]) ).

cnf(c_5157,plain,
    ( ~ aElementOf0(sP2_iProver_def,xI)
    | ~ aElement0(sK14)
    | aElementOf0(sP2_iProver_def,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_5099,c_3216]) ).

cnf(c_5200,plain,
    ( ~ aElement0(sK14)
    | aElementOf0(sP2_iProver_def,sP0_iProver_def) ),
    inference(global_subsumption_just,[status(thm)],[c_5157,c_5137,c_5157]) ).

cnf(c_5209,plain,
    ( ~ aElement0(sK14)
    | aElementOf0(sK15,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_5200,c_3220]) ).

cnf(c_5213,plain,
    aElementOf0(sK15,sP0_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_5209,c_3218,c_5209]) ).

cnf(c_5216,plain,
    aElementOf0(sK15,xJ),
    inference(superposition,[status(thm)],[c_5213,c_3215]) ).

cnf(c_5217,plain,
    aElementOf0(sK15,xI),
    inference(superposition,[status(thm)],[c_5213,c_3214]) ).

cnf(c_5297,plain,
    ( ~ aElementOf0(sK13,xJ)
    | ~ aElementOf0(sK15,xJ)
    | aElementOf0(sP1_iProver_def,xJ) ),
    inference(superposition,[status(thm)],[c_3211,c_107]) ).

cnf(c_5309,plain,
    aElementOf0(sP1_iProver_def,xJ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5297,c_5216,c_4288]) ).

cnf(c_5326,plain,
    ( ~ aElementOf0(sK13,xI)
    | ~ aElementOf0(sK15,xI)
    | aElementOf0(sP1_iProver_def,xI) ),
    inference(superposition,[status(thm)],[c_3211,c_111]) ).

cnf(c_5337,plain,
    aElementOf0(sP1_iProver_def,xI),
    inference(forward_subsumption_resolution,[status(thm)],[c_5326,c_5217,c_4280]) ).

cnf(c_5517,plain,
    ( ~ aElementOf0(sP1_iProver_def,xI)
    | aElementOf0(sP1_iProver_def,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_5309,c_3216]) ).

cnf(c_5520,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_5517,c_5337,c_5157,c_5137,c_3221,c_3219]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 21:22:28 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.14  % SZS status Started for theBenchmark.p
% 0.46/1.14  % SZS status Theorem for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.14  
% 0.46/1.14  ------  iProver source info
% 0.46/1.14  
% 0.46/1.14  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.14  git: non_committed_changes: false
% 0.46/1.14  
% 0.46/1.14  ------ Parsing...
% 0.46/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.14  
% 0.46/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.14  ------ Proving...
% 0.46/1.14  ------ Problem Properties 
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  clauses                                 76
% 0.46/1.14  conjectures                             10
% 0.46/1.14  EPR                                     20
% 0.46/1.14  Horn                                    62
% 0.46/1.14  unary                                   13
% 0.46/1.14  binary                                  19
% 0.46/1.14  lits                                    225
% 0.46/1.14  lits eq                                 34
% 0.46/1.14  fd_pure                                 0
% 0.46/1.14  fd_pseudo                               0
% 0.46/1.14  fd_cond                                 1
% 0.46/1.14  fd_pseudo_cond                          8
% 0.46/1.14  AC symbols                              0
% 0.46/1.14  
% 0.46/1.14  ------ Schedule dynamic 5 is on 
% 0.46/1.14  
% 0.46/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  ------ 
% 0.46/1.14  Current options:
% 0.46/1.14  ------ 
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  ------ Proving...
% 0.46/1.14  
% 0.46/1.14  
% 0.46/1.14  % SZS status Theorem for theBenchmark.p
% 0.46/1.14  
% 0.46/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.14  
% 0.46/1.15  
%------------------------------------------------------------------------------