TSTP Solution File: RNG108+4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : RNG108+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 : Thu Aug 31 13:55:20 EDT 2023

% Result   : Theorem 3.69s 1.16s
% Output   : CNFRefutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   63 (  20 unt;   0 def)
%            Number of atoms       :  315 (  87 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  375 ( 123   ~; 113   |; 119   &)
%                                         (   9 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :  118 (   0 sgn;  73   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(f3,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f13,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).

fof(f16,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).

fof(f39,axiom,
    ( aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).

fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X0] :
        ( aElementOf0(X0,slsdtgt0(xb))
      <=> ? [X1] :
            ( sdtasdt0(xb,X1) = X0
            & aElement0(X1) ) )
    & ! [X0] :
        ( aElementOf0(X0,slsdtgt0(xa))
      <=> ? [X1] :
            ( sdtasdt0(xa,X1) = X0
            & aElement0(X1) ) )
    & 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__2174) ).

fof(f43,conjecture,
    ( ( aElementOf0(xb,slsdtgt0(xb))
      | ? [X0] :
          ( xb = sdtasdt0(xb,X0)
          & aElement0(X0) ) )
    & ( aElementOf0(sz00,slsdtgt0(xb))
      | ? [X0] :
          ( sz00 = sdtasdt0(xb,X0)
          & aElement0(X0) ) )
    & ( aElementOf0(xa,slsdtgt0(xa))
      | ? [X0] :
          ( xa = sdtasdt0(xa,X0)
          & aElement0(X0) ) )
    & ( aElementOf0(sz00,slsdtgt0(xa))
      | ? [X0] :
          ( sz00 = sdtasdt0(xa,X0)
          & aElement0(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f44,negated_conjecture,
    ~ ( ( aElementOf0(xb,slsdtgt0(xb))
        | ? [X0] :
            ( xb = sdtasdt0(xb,X0)
            & aElement0(X0) ) )
      & ( aElementOf0(sz00,slsdtgt0(xb))
        | ? [X0] :
            ( sz00 = sdtasdt0(xb,X0)
            & aElement0(X0) ) )
      & ( aElementOf0(xa,slsdtgt0(xa))
        | ? [X0] :
            ( xa = sdtasdt0(xa,X0)
            & aElement0(X0) ) )
      & ( aElementOf0(sz00,slsdtgt0(xa))
        | ? [X0] :
            ( sz00 = sdtasdt0(xa,X0)
            & aElement0(X0) ) ) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f53,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X3] :
        ( aElementOf0(X3,slsdtgt0(xb))
      <=> ? [X4] :
            ( sdtasdt0(xb,X4) = X3
            & aElement0(X4) ) )
    & ! [X5] :
        ( aElementOf0(X5,slsdtgt0(xa))
      <=> ? [X6] :
            ( sdtasdt0(xa,X6) = X5
            & aElement0(X6) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( aElementOf0(X7,xI)
       => ( ! [X8] :
              ( aElement0(X8)
             => aElementOf0(sdtasdt0(X8,X7),xI) )
          & ! [X9] :
              ( aElementOf0(X9,xI)
             => aElementOf0(sdtpldt0(X7,X9),xI) ) ) )
    & aSet0(xI) ),
    inference(rectify,[],[f42]) ).

fof(f54,plain,
    ~ ( ( aElementOf0(xb,slsdtgt0(xb))
        | ? [X0] :
            ( xb = sdtasdt0(xb,X0)
            & aElement0(X0) ) )
      & ( aElementOf0(sz00,slsdtgt0(xb))
        | ? [X1] :
            ( sz00 = sdtasdt0(xb,X1)
            & aElement0(X1) ) )
      & ( aElementOf0(xa,slsdtgt0(xa))
        | ? [X2] :
            ( xa = sdtasdt0(xa,X2)
            & aElement0(X2) ) )
      & ( aElementOf0(sz00,slsdtgt0(xa))
        | ? [X3] :
            ( sz00 = sdtasdt0(xa,X3)
            & aElement0(X3) ) ) ),
    inference(rectify,[],[f44]) ).

fof(f72,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f76,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f108,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X3] :
        ( aElementOf0(X3,slsdtgt0(xb))
      <=> ? [X4] :
            ( sdtasdt0(xb,X4) = X3
            & aElement0(X4) ) )
    & ! [X5] :
        ( aElementOf0(X5,slsdtgt0(xa))
      <=> ? [X6] :
            ( sdtasdt0(xa,X6) = X5
            & aElement0(X6) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( ( ! [X8] :
              ( aElementOf0(sdtasdt0(X8,X7),xI)
              | ~ aElement0(X8) )
          & ! [X9] :
              ( aElementOf0(sdtpldt0(X7,X9),xI)
              | ~ aElementOf0(X9,xI) ) )
        | ~ aElementOf0(X7,xI) )
    & aSet0(xI) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f109,plain,
    ( ( ~ aElementOf0(xb,slsdtgt0(xb))
      & ! [X0] :
          ( xb != sdtasdt0(xb,X0)
          | ~ aElement0(X0) ) )
    | ( ~ aElementOf0(sz00,slsdtgt0(xb))
      & ! [X1] :
          ( sz00 != sdtasdt0(xb,X1)
          | ~ aElement0(X1) ) )
    | ( ~ aElementOf0(xa,slsdtgt0(xa))
      & ! [X2] :
          ( xa != sdtasdt0(xa,X2)
          | ~ aElement0(X2) ) )
    | ( ~ aElementOf0(sz00,slsdtgt0(xa))
      & ! [X3] :
          ( sz00 != sdtasdt0(xa,X3)
          | ~ aElement0(X3) ) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f116,plain,
    ( ( ~ aElementOf0(sz00,slsdtgt0(xa))
      & ! [X3] :
          ( sz00 != sdtasdt0(xa,X3)
          | ~ aElement0(X3) ) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f117,plain,
    ( ( ~ aElementOf0(xb,slsdtgt0(xb))
      & ! [X0] :
          ( xb != sdtasdt0(xb,X0)
          | ~ aElement0(X0) ) )
    | ( ~ aElementOf0(sz00,slsdtgt0(xb))
      & ! [X1] :
          ( sz00 != sdtasdt0(xb,X1)
          | ~ aElement0(X1) ) )
    | ( ~ aElementOf0(xa,slsdtgt0(xa))
      & ! [X2] :
          ( xa != sdtasdt0(xa,X2)
          | ~ aElement0(X2) ) )
    | sP4 ),
    inference(definition_folding,[],[f109,f116]) ).

fof(f175,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ? [X1,X2] :
              ( sdtpldt0(X1,X2) = X0
              & aElementOf0(X2,slsdtgt0(xb))
              & aElementOf0(X1,slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X3] :
        ( ( aElementOf0(X3,slsdtgt0(xb))
          | ! [X4] :
              ( sdtasdt0(xb,X4) != X3
              | ~ aElement0(X4) ) )
        & ( ? [X4] :
              ( sdtasdt0(xb,X4) = X3
              & aElement0(X4) )
          | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xa))
          | ! [X6] :
              ( sdtasdt0(xa,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ? [X6] :
              ( sdtasdt0(xa,X6) = X5
              & aElement0(X6) )
          | ~ aElementOf0(X5,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( ( ! [X8] :
              ( aElementOf0(sdtasdt0(X8,X7),xI)
              | ~ aElement0(X8) )
          & ! [X9] :
              ( aElementOf0(sdtpldt0(X7,X9),xI)
              | ~ aElementOf0(X9,xI) ) )
        | ~ aElementOf0(X7,xI) )
    & aSet0(xI) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f176,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ? [X3,X4] :
              ( sdtpldt0(X3,X4) = X0
              & aElementOf0(X4,slsdtgt0(xb))
              & aElementOf0(X3,slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xb))
          | ! [X6] :
              ( sdtasdt0(xb,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ? [X7] :
              ( sdtasdt0(xb,X7) = X5
              & aElement0(X7) )
          | ~ aElementOf0(X5,slsdtgt0(xb)) ) )
    & ! [X8] :
        ( ( aElementOf0(X8,slsdtgt0(xa))
          | ! [X9] :
              ( sdtasdt0(xa,X9) != X8
              | ~ aElement0(X9) ) )
        & ( ? [X10] :
              ( sdtasdt0(xa,X10) = X8
              & aElement0(X10) )
          | ~ aElementOf0(X8,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X11] :
        ( ( ! [X12] :
              ( aElementOf0(sdtasdt0(X12,X11),xI)
              | ~ aElement0(X12) )
          & ! [X13] :
              ( aElementOf0(sdtpldt0(X11,X13),xI)
              | ~ aElementOf0(X13,xI) ) )
        | ~ aElementOf0(X11,xI) )
    & aSet0(xI) ),
    inference(rectify,[],[f175]) ).

fof(f177,plain,
    ! [X0] :
      ( ? [X3,X4] :
          ( sdtpldt0(X3,X4) = X0
          & aElementOf0(X4,slsdtgt0(xb))
          & aElementOf0(X3,slsdtgt0(xa)) )
     => ( sdtpldt0(sK28(X0),sK29(X0)) = X0
        & aElementOf0(sK29(X0),slsdtgt0(xb))
        & aElementOf0(sK28(X0),slsdtgt0(xa)) ) ),
    introduced(choice_axiom,[]) ).

fof(f178,plain,
    ! [X5] :
      ( ? [X7] :
          ( sdtasdt0(xb,X7) = X5
          & aElement0(X7) )
     => ( sdtasdt0(xb,sK30(X5)) = X5
        & aElement0(sK30(X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f179,plain,
    ! [X8] :
      ( ? [X10] :
          ( sdtasdt0(xa,X10) = X8
          & aElement0(X10) )
     => ( sdtasdt0(xa,sK31(X8)) = X8
        & aElement0(sK31(X8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f180,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ( sdtpldt0(sK28(X0),sK29(X0)) = X0
            & aElementOf0(sK29(X0),slsdtgt0(xb))
            & aElementOf0(sK28(X0),slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xb))
          | ! [X6] :
              ( sdtasdt0(xb,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ( sdtasdt0(xb,sK30(X5)) = X5
            & aElement0(sK30(X5)) )
          | ~ aElementOf0(X5,slsdtgt0(xb)) ) )
    & ! [X8] :
        ( ( aElementOf0(X8,slsdtgt0(xa))
          | ! [X9] :
              ( sdtasdt0(xa,X9) != X8
              | ~ aElement0(X9) ) )
        & ( ( sdtasdt0(xa,sK31(X8)) = X8
            & aElement0(sK31(X8)) )
          | ~ aElementOf0(X8,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X11] :
        ( ( ! [X12] :
              ( aElementOf0(sdtasdt0(X12,X11),xI)
              | ~ aElement0(X12) )
          & ! [X13] :
              ( aElementOf0(sdtpldt0(X11,X13),xI)
              | ~ aElementOf0(X13,xI) ) )
        | ~ aElementOf0(X11,xI) )
    & aSet0(xI) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31])],[f176,f179,f178,f177]) ).

fof(f181,plain,
    ( ( ~ aElementOf0(sz00,slsdtgt0(xa))
      & ! [X3] :
          ( sz00 != sdtasdt0(xa,X3)
          | ~ aElement0(X3) ) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f116]) ).

fof(f182,plain,
    ( ( ~ aElementOf0(sz00,slsdtgt0(xa))
      & ! [X0] :
          ( sz00 != sdtasdt0(xa,X0)
          | ~ aElement0(X0) ) )
    | ~ sP4 ),
    inference(rectify,[],[f181]) ).

fof(f183,plain,
    aElement0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f184,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f196,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f202,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f273,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f39]) ).

fof(f274,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f39]) ).

fof(f302,plain,
    ! [X8,X9] :
      ( aElementOf0(X8,slsdtgt0(xa))
      | sdtasdt0(xa,X9) != X8
      | ~ aElement0(X9) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f312,plain,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f313,plain,
    ! [X2,X0,X1] :
      ( xb != sdtasdt0(xb,X0)
      | ~ aElement0(X0)
      | sz00 != sdtasdt0(xb,X1)
      | ~ aElement0(X1)
      | xa != sdtasdt0(xa,X2)
      | ~ aElement0(X2)
      | sP4 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f335,plain,
    ! [X9] :
      ( aElementOf0(sdtasdt0(xa,X9),slsdtgt0(xa))
      | ~ aElement0(X9) ),
    inference(equality_resolution,[],[f302]) ).

cnf(c_49,plain,
    aElement0(sz00),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_50,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_63,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(X0,sz10) = X0 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_69,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(X0,sz00) = sz00 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_139,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_140,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f273]) ).

cnf(c_170,plain,
    ( ~ aElement0(X0)
    | aElementOf0(sdtasdt0(xa,X0),slsdtgt0(xa)) ),
    inference(cnf_transformation,[],[f335]) ).

cnf(c_177,plain,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f312]) ).

cnf(c_186,negated_conjecture,
    ( sdtasdt0(xb,X0) != sz00
    | sdtasdt0(xb,X1) != xb
    | sdtasdt0(xa,X2) != xa
    | ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sP4 ),
    inference(cnf_transformation,[],[f313]) ).

cnf(c_8062,negated_conjecture,
    ( ~ aElement0(X0)
    | sdtasdt0(xb,X0) != xb
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_186]) ).

cnf(c_8063,negated_conjecture,
    ( ~ aElement0(X0)
    | sdtasdt0(xa,X0) != xa
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_186]) ).

cnf(c_8064,negated_conjecture,
    ( ~ aElement0(X0)
    | sdtasdt0(xb,X0) != sz00
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_186]) ).

cnf(c_8065,negated_conjecture,
    ( sP4
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_186]) ).

cnf(c_10238,plain,
    sdtasdt0(xb,sz10) = xb,
    inference(superposition,[status(thm)],[c_139,c_63]) ).

cnf(c_10239,plain,
    sdtasdt0(xa,sz10) = xa,
    inference(superposition,[status(thm)],[c_140,c_63]) ).

cnf(c_10278,plain,
    sdtasdt0(xb,sz00) = sz00,
    inference(superposition,[status(thm)],[c_139,c_69]) ).

cnf(c_10279,plain,
    sdtasdt0(xa,sz00) = sz00,
    inference(superposition,[status(thm)],[c_140,c_69]) ).

cnf(c_10292,plain,
    ( ~ aElement0(sz10)
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_10238,c_8062]) ).

cnf(c_10293,plain,
    ~ sP0_iProver_split,
    inference(forward_subsumption_resolution,[status(thm)],[c_10292,c_50]) ).

cnf(c_10300,plain,
    ( sP4
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8065,c_10293]) ).

cnf(c_10331,plain,
    ( ~ aElement0(sz10)
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_10239,c_8063]) ).

cnf(c_10332,plain,
    ~ sP1_iProver_split,
    inference(forward_subsumption_resolution,[status(thm)],[c_10331,c_50]) ).

cnf(c_10333,plain,
    ( sP4
    | sP2_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_10300,c_10332]) ).

cnf(c_10508,plain,
    ( ~ aElement0(sz00)
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_10278,c_8064]) ).

cnf(c_10509,plain,
    ~ sP2_iProver_split,
    inference(forward_subsumption_resolution,[status(thm)],[c_10508,c_49]) ).

cnf(c_10511,plain,
    sP4,
    inference(backward_subsumption_resolution,[status(thm)],[c_10333,c_10509]) ).

cnf(c_10512,plain,
    ~ aElementOf0(sz00,slsdtgt0(xa)),
    inference(backward_subsumption_resolution,[status(thm)],[c_177,c_10511]) ).

cnf(c_10521,plain,
    ( ~ aElement0(sz00)
    | aElementOf0(sz00,slsdtgt0(xa)) ),
    inference(superposition,[status(thm)],[c_10279,c_170]) ).

cnf(c_10522,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10521,c_10512,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG108+4 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Aug 27 02:01:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.69/1.16  % SZS status Started for theBenchmark.p
% 3.69/1.16  % SZS status Theorem for theBenchmark.p
% 3.69/1.16  
% 3.69/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.69/1.16  
% 3.69/1.16  ------  iProver source info
% 3.69/1.16  
% 3.69/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.69/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.69/1.16  git: non_committed_changes: false
% 3.69/1.16  git: last_make_outside_of_git: false
% 3.69/1.16  
% 3.69/1.16  ------ Parsing...
% 3.69/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.69/1.16  
% 3.69/1.16  ------ 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: 2 0s  sf_e  pe_s  pe_e 
% 3.69/1.16  
% 3.69/1.16  ------ Preprocessing... gs_s  sp: 12 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.69/1.16  
% 3.69/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.69/1.16  ------ Proving...
% 3.69/1.16  ------ Problem Properties 
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  clauses                                 135
% 3.69/1.16  conjectures                             11
% 3.69/1.16  EPR                                     31
% 3.69/1.16  Horn                                    102
% 3.69/1.16  unary                                   18
% 3.69/1.16  binary                                  29
% 3.69/1.16  lits                                    436
% 3.69/1.16  lits eq                                 57
% 3.69/1.16  fd_pure                                 0
% 3.69/1.16  fd_pseudo                               0
% 3.69/1.16  fd_cond                                 3
% 3.69/1.16  fd_pseudo_cond                          11
% 3.69/1.16  AC symbols                              0
% 3.69/1.16  
% 3.69/1.16  ------ Schedule dynamic 5 is on 
% 3.69/1.16  
% 3.69/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  ------ 
% 3.69/1.16  Current options:
% 3.69/1.16  ------ 
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  ------ Proving...
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  % SZS status Theorem for theBenchmark.p
% 3.69/1.16  
% 3.69/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.16  
% 3.69/1.17  
%------------------------------------------------------------------------------