TSTP Solution File: RNG126+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : RNG126+4 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : Tue May 21 02:36:30 EDT 2024

% Result   : Theorem 0.77s 0.58s
% Output   : CNFRefutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   54 (   9 unt;   0 def)
%            Number of atoms       :  258 (  60 equ)
%            Maximal formula atoms :   33 (   4 avg)
%            Number of connectives :  312 ( 108   ~; 104   |;  76   &)
%                                         (   9 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;   9 con; 0-3 aty)
%            Number of variables   :  116 (   0 sgn  62   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2174,hypothesis,
    ( aSet0(xI)
    & ! [X1] :
        ( aElementOf0(X1,xI)
       => ( ! [X2] :
              ( aElementOf0(X2,xI)
             => aElementOf0(sdtpldt0(X1,X2),xI) )
          & ! [X2] :
              ( aElement0(X2)
             => aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
    & aIdeal0(xI)
    & ! [X1] :
        ( aElementOf0(X1,slsdtgt0(xa))
      <=> ? [X2] :
            ( aElement0(X2)
            & sdtasdt0(xa,X2) = X1 ) )
    & ! [X1] :
        ( aElementOf0(X1,slsdtgt0(xb))
      <=> ? [X2] :
            ( aElement0(X2)
            & sdtasdt0(xb,X2) = X1 ) )
    & ! [X1] :
        ( aElementOf0(X1,xI)
      <=> ? [X2,X3] :
            ( aElementOf0(X2,slsdtgt0(xa))
            & aElementOf0(X3,slsdtgt0(xb))
            & sdtpldt0(X2,X3) = X1 ) )
    & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(mDefPrIdeal,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ! [X2] :
          ( X2 = slsdtgt0(X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4] :
                    ( aElement0(X4)
                    & sdtasdt0(X1,X4) = X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).

fof(m__,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,slsdtgt0(xa))
      <=> ? [X2] :
            ( aElement0(X2)
            & sdtasdt0(xa,X2) = X1 ) )
   => ( ! [X1] :
          ( aElementOf0(X1,slsdtgt0(xb))
        <=> ? [X2] :
              ( aElement0(X2)
              & sdtasdt0(xb,X2) = X1 ) )
     => ( ? [X1,X2] :
            ( aElementOf0(X1,slsdtgt0(xa))
            & aElementOf0(X2,slsdtgt0(xb))
            & sdtpldt0(X1,X2) = xc )
        | aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__2091,hypothesis,
    ( aElement0(xa)
    & aElement0(xb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => aElement0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(mSortsB,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => aElement0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(m__2273,hypothesis,
    ( ? [X1,X2] :
        ( aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X2,slsdtgt0(xb))
        & sdtpldt0(X1,X2) = xu )
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [X1] :
        ( ( ( ? [X2,X3] :
                ( aElementOf0(X2,slsdtgt0(xa))
                & aElementOf0(X3,slsdtgt0(xb))
                & sdtpldt0(X2,X3) = X1 )
            | aElementOf0(X1,xI) )
          & X1 != sz00 )
       => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

fof(m__2744,hypothesis,
    ? [X1] :
      ( aElement0(X1)
      & sdtasdt0(xu,X1) = xc ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2744) ).

fof(c_0_10,hypothesis,
    ! [X122,X123,X124,X125,X127,X128,X129,X131,X132,X133,X136,X137,X138] :
      ( aSet0(xI)
      & ( ~ aElementOf0(X123,xI)
        | aElementOf0(sdtpldt0(X122,X123),xI)
        | ~ aElementOf0(X122,xI) )
      & ( ~ aElement0(X124)
        | aElementOf0(sdtasdt0(X124,X122),xI)
        | ~ aElementOf0(X122,xI) )
      & aIdeal0(xI)
      & ( aElement0(esk24_1(X125))
        | ~ aElementOf0(X125,slsdtgt0(xa)) )
      & ( sdtasdt0(xa,esk24_1(X125)) = X125
        | ~ aElementOf0(X125,slsdtgt0(xa)) )
      & ( ~ aElement0(X128)
        | sdtasdt0(xa,X128) != X127
        | aElementOf0(X127,slsdtgt0(xa)) )
      & ( aElement0(esk25_1(X129))
        | ~ aElementOf0(X129,slsdtgt0(xb)) )
      & ( sdtasdt0(xb,esk25_1(X129)) = X129
        | ~ aElementOf0(X129,slsdtgt0(xb)) )
      & ( ~ aElement0(X132)
        | sdtasdt0(xb,X132) != X131
        | aElementOf0(X131,slsdtgt0(xb)) )
      & ( aElementOf0(esk26_1(X133),slsdtgt0(xa))
        | ~ aElementOf0(X133,xI) )
      & ( aElementOf0(esk27_1(X133),slsdtgt0(xb))
        | ~ aElementOf0(X133,xI) )
      & ( sdtpldt0(esk26_1(X133),esk27_1(X133)) = X133
        | ~ aElementOf0(X133,xI) )
      & ( ~ aElementOf0(X137,slsdtgt0(xa))
        | ~ aElementOf0(X138,slsdtgt0(xb))
        | sdtpldt0(X137,X138) != X136
        | aElementOf0(X136,xI) )
      & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2174])])])])])])]) ).

fof(c_0_11,plain,
    ! [X34,X35] :
      ( ~ aSet0(X34)
      | ~ aElementOf0(X35,X34)
      | aElement0(X35) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

cnf(c_0_12,hypothesis,
    ( aElementOf0(X2,slsdtgt0(xa))
    | ~ aElement0(X1)
    | sdtasdt0(xa,X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_13,plain,
    ! [X105,X106,X107,X109,X110,X111,X113] :
      ( ( aSet0(X106)
        | X106 != slsdtgt0(X105)
        | ~ aElement0(X105) )
      & ( aElement0(esk18_3(X105,X106,X107))
        | ~ aElementOf0(X107,X106)
        | X106 != slsdtgt0(X105)
        | ~ aElement0(X105) )
      & ( sdtasdt0(X105,esk18_3(X105,X106,X107)) = X107
        | ~ aElementOf0(X107,X106)
        | X106 != slsdtgt0(X105)
        | ~ aElement0(X105) )
      & ( ~ aElement0(X110)
        | sdtasdt0(X105,X110) != X109
        | aElementOf0(X109,X106)
        | X106 != slsdtgt0(X105)
        | ~ aElement0(X105) )
      & ( ~ aElementOf0(esk19_2(X105,X111),X111)
        | ~ aElement0(X113)
        | sdtasdt0(X105,X113) != esk19_2(X105,X111)
        | ~ aSet0(X111)
        | X111 = slsdtgt0(X105)
        | ~ aElement0(X105) )
      & ( aElement0(esk20_2(X105,X111))
        | aElementOf0(esk19_2(X105,X111),X111)
        | ~ aSet0(X111)
        | X111 = slsdtgt0(X105)
        | ~ aElement0(X105) )
      & ( sdtasdt0(X105,esk20_2(X105,X111)) = esk19_2(X105,X111)
        | aElementOf0(esk19_2(X105,X111),X111)
        | ~ aSet0(X111)
        | X111 = slsdtgt0(X105)
        | ~ aElement0(X105) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrIdeal])])])])])])]) ).

cnf(c_0_14,plain,
    ( aElement0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,hypothesis,
    ( aElementOf0(sdtasdt0(xa,X1),slsdtgt0(xa))
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( aSet0(X1)
    | X1 != slsdtgt0(X2)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,slsdtgt0(xa))
        <=> ? [X2] :
              ( aElement0(X2)
              & sdtasdt0(xa,X2) = X1 ) )
     => ( ! [X1] :
            ( aElementOf0(X1,slsdtgt0(xb))
          <=> ? [X2] :
                ( aElement0(X2)
                & sdtasdt0(xb,X2) = X1 ) )
       => ( ? [X1,X2] :
              ( aElementOf0(X1,slsdtgt0(xa))
              & aElementOf0(X2,slsdtgt0(xb))
              & sdtpldt0(X1,X2) = xc )
          | aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_18,hypothesis,
    ( aElement0(sdtasdt0(xa,X1))
    | ~ aSet0(slsdtgt0(xa))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ( aSet0(slsdtgt0(X1))
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_16]) ).

cnf(c_0_20,hypothesis,
    aElement0(xa),
    inference(split_conjunct,[status(thm)],[m__2091]) ).

fof(c_0_21,negated_conjecture,
    ! [X160,X162,X163,X164,X166,X167,X168,X169] :
      ( ( aElement0(esk42_1(X160))
        | ~ aElementOf0(X160,slsdtgt0(xa)) )
      & ( sdtasdt0(xa,esk42_1(X160)) = X160
        | ~ aElementOf0(X160,slsdtgt0(xa)) )
      & ( ~ aElement0(X163)
        | sdtasdt0(xa,X163) != X162
        | aElementOf0(X162,slsdtgt0(xa)) )
      & ( aElement0(esk43_1(X164))
        | ~ aElementOf0(X164,slsdtgt0(xb)) )
      & ( sdtasdt0(xb,esk43_1(X164)) = X164
        | ~ aElementOf0(X164,slsdtgt0(xb)) )
      & ( ~ aElement0(X167)
        | sdtasdt0(xb,X167) != X166
        | aElementOf0(X166,slsdtgt0(xb)) )
      & ( ~ aElementOf0(X168,slsdtgt0(xa))
        | ~ aElementOf0(X169,slsdtgt0(xb))
        | sdtpldt0(X168,X169) != xc )
      & ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])])]) ).

fof(c_0_22,plain,
    ! [X11,X12] :
      ( ~ aElement0(X11)
      | ~ aElement0(X12)
      | aElement0(sdtasdt0(X11,X12)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).

cnf(c_0_23,hypothesis,
    ( aElement0(sdtasdt0(xa,X1))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_24,negated_conjecture,
    ( sdtasdt0(xa,esk42_1(X1)) = X1
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( aElement0(esk42_1(X1))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( sdtasdt0(xb,esk43_1(X1)) = X1
    | ~ aElementOf0(X1,slsdtgt0(xb)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,hypothesis,
    aElement0(xb),
    inference(split_conjunct,[status(thm)],[m__2091]) ).

cnf(c_0_29,negated_conjecture,
    ( aElement0(esk43_1(X1))
    | ~ aElementOf0(X1,slsdtgt0(xb)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_30,plain,
    ! [X9,X10] :
      ( ~ aElement0(X9)
      | ~ aElement0(X10)
      | aElement0(sdtpldt0(X9,X10)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).

cnf(c_0_31,negated_conjecture,
    ( aElement0(X1)
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_32,hypothesis,
    ( aElementOf0(esk26_1(X1),slsdtgt0(xa))
    | ~ aElementOf0(X1,xI) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_33,negated_conjecture,
    ( aElement0(X1)
    | ~ aElementOf0(X1,slsdtgt0(xb)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]) ).

cnf(c_0_34,hypothesis,
    ( aElementOf0(esk27_1(X1),slsdtgt0(xb))
    | ~ aElementOf0(X1,xI) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_35,plain,
    ! [X20,X21] :
      ( ~ aElement0(X20)
      | ~ aElement0(X21)
      | sdtasdt0(X20,X21) = sdtasdt0(X21,X20) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).

cnf(c_0_36,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,hypothesis,
    ( sdtpldt0(esk26_1(X1),esk27_1(X1)) = X1
    | ~ aElementOf0(X1,xI) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_38,negated_conjecture,
    ( aElement0(esk26_1(X1))
    | ~ aElementOf0(X1,xI) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ( aElement0(esk27_1(X1))
    | ~ aElementOf0(X1,xI) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

fof(c_0_40,hypothesis,
    ( ? [X1,X2] :
        ( aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X2,slsdtgt0(xb))
        & sdtpldt0(X1,X2) = xu )
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [X1] :
        ( ( ( ? [X2,X3] :
                ( aElementOf0(X2,slsdtgt0(xa))
                & aElementOf0(X3,slsdtgt0(xb))
                & sdtpldt0(X2,X3) = X1 )
            | aElementOf0(X1,xI) )
          & X1 != sz00 )
       => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
    inference(fof_simplification,[status(thm)],[m__2273]) ).

cnf(c_0_41,hypothesis,
    ( aElementOf0(sdtasdt0(X1,X2),xI)
    | ~ aElement0(X1)
    | ~ aElementOf0(X2,xI) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_42,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,hypothesis,
    ( aElement0(X1)
    | ~ aElementOf0(X1,xI) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).

fof(c_0_44,hypothesis,
    ( aElement0(esk41_0)
    & sdtasdt0(xu,esk41_0) = xc ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2744])]) ).

fof(c_0_45,hypothesis,
    ! [X154,X155,X156] :
      ( aElementOf0(esk37_0,slsdtgt0(xa))
      & aElementOf0(esk38_0,slsdtgt0(xb))
      & sdtpldt0(esk37_0,esk38_0) = xu
      & aElementOf0(xu,xI)
      & xu != sz00
      & ( ~ aElementOf0(X155,slsdtgt0(xa))
        | ~ aElementOf0(X156,slsdtgt0(xb))
        | sdtpldt0(X155,X156) != X154
        | X154 = sz00
        | ~ iLess0(sbrdtbr0(X154),sbrdtbr0(xu)) )
      & ( ~ aElementOf0(X154,xI)
        | X154 = sz00
        | ~ iLess0(sbrdtbr0(X154),sbrdtbr0(xu)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])]) ).

cnf(c_0_46,negated_conjecture,
    ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_47,hypothesis,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_48,hypothesis,
    ( aElementOf0(sdtasdt0(X1,X2),xI)
    | ~ aElementOf0(X1,xI)
    | ~ aElement0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_49,hypothesis,
    sdtasdt0(xu,esk41_0) = xc,
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,hypothesis,
    aElementOf0(xu,xI),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_51,hypothesis,
    aElement0(esk41_0),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ~ aElementOf0(xc,xI),
    inference(rw,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_53,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51])]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG126+4 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat May 18 12:05:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.58  # Version: 3.1.0
% 0.77/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.58  # Starting new_bool_3 with 300s (1) cores
% 0.77/0.58  # Starting new_bool_1 with 300s (1) cores
% 0.77/0.58  # Starting sh5l with 300s (1) cores
% 0.77/0.58  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 17917 completed with status 0
% 0.77/0.58  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.77/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.58  # No SInE strategy applied
% 0.77/0.58  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.77/0.58  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.77/0.58  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.77/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.77/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.77/0.58  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.77/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.77/0.58  # SAT001_MinMin_p005000_rr_RG with pid 17925 completed with status 0
% 0.77/0.58  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.77/0.58  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.58  # No SInE strategy applied
% 0.77/0.58  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.77/0.58  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.77/0.58  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.77/0.58  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.77/0.58  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.77/0.58  # Preprocessing time       : 0.003 s
% 0.77/0.58  # Presaturation interreduction done
% 0.77/0.58  
% 0.77/0.58  # Proof found!
% 0.77/0.58  # SZS status Theorem
% 0.77/0.58  # SZS output start CNFRefutation
% See solution above
% 0.77/0.58  # Parsed axioms                        : 48
% 0.77/0.58  # Removed by relevancy pruning/SinE    : 0
% 0.77/0.58  # Initial clauses                      : 197
% 0.77/0.58  # Removed in clause preprocessing      : 4
% 0.77/0.58  # Initial clauses in saturation        : 193
% 0.77/0.58  # Processed clauses                    : 1524
% 0.77/0.58  # ...of these trivial                  : 49
% 0.77/0.58  # ...subsumed                          : 717
% 0.77/0.58  # ...remaining for further processing  : 758
% 0.77/0.58  # Other redundant clauses eliminated   : 230
% 0.77/0.58  # Clauses deleted for lack of memory   : 0
% 0.77/0.58  # Backward-subsumed                    : 112
% 0.77/0.58  # Backward-rewritten                   : 39
% 0.77/0.58  # Generated clauses                    : 3474
% 0.77/0.58  # ...of the previous two non-redundant : 2610
% 0.77/0.58  # ...aggressively subsumed             : 0
% 0.77/0.58  # Contextual simplify-reflections      : 39
% 0.77/0.58  # Paramodulations                      : 3241
% 0.77/0.58  # Factorizations                       : 0
% 0.77/0.58  # NegExts                              : 0
% 0.77/0.58  # Equation resolutions                 : 230
% 0.77/0.58  # Disequality decompositions           : 0
% 0.77/0.58  # Total rewrite steps                  : 3713
% 0.77/0.58  # ...of those cached                   : 3633
% 0.77/0.58  # Propositional unsat checks           : 0
% 0.77/0.58  #    Propositional check models        : 0
% 0.77/0.58  #    Propositional check unsatisfiable : 0
% 0.77/0.58  #    Propositional clauses             : 0
% 0.77/0.58  #    Propositional clauses after purity: 0
% 0.77/0.58  #    Propositional unsat core size     : 0
% 0.77/0.58  #    Propositional preprocessing time  : 0.000
% 0.77/0.58  #    Propositional encoding time       : 0.000
% 0.77/0.58  #    Propositional solver time         : 0.000
% 0.77/0.58  #    Success case prop preproc time    : 0.000
% 0.77/0.58  #    Success case prop encoding time   : 0.000
% 0.77/0.58  #    Success case prop solver time     : 0.000
% 0.77/0.58  # Current number of processed clauses  : 392
% 0.77/0.58  #    Positive orientable unit clauses  : 96
% 0.77/0.58  #    Positive unorientable unit clauses: 0
% 0.77/0.58  #    Negative unit clauses             : 43
% 0.77/0.58  #    Non-unit-clauses                  : 253
% 0.77/0.58  # Current number of unprocessed clauses: 1232
% 0.77/0.58  # ...number of literals in the above   : 5518
% 0.77/0.58  # Current number of archived formulas  : 0
% 0.77/0.58  # Current number of archived clauses   : 344
% 0.77/0.58  # Clause-clause subsumption calls (NU) : 14604
% 0.77/0.58  # Rec. Clause-clause subsumption calls : 7314
% 0.77/0.58  # Non-unit clause-clause subsumptions  : 339
% 0.77/0.58  # Unit Clause-clause subsumption calls : 2816
% 0.77/0.58  # Rewrite failures with RHS unbound    : 0
% 0.77/0.58  # BW rewrite match attempts            : 25
% 0.77/0.58  # BW rewrite match successes           : 25
% 0.77/0.58  # Condensation attempts                : 0
% 0.77/0.58  # Condensation successes               : 0
% 0.77/0.58  # Termbank termtop insertions          : 60326
% 0.77/0.58  # Search garbage collected termcells   : 2803
% 0.77/0.58  
% 0.77/0.58  # -------------------------------------------------
% 0.77/0.58  # User time                : 0.090 s
% 0.77/0.58  # System time              : 0.006 s
% 0.77/0.58  # Total time               : 0.095 s
% 0.77/0.58  # Maximum resident set size: 2288 pages
% 0.77/0.58  
% 0.77/0.58  # -------------------------------------------------
% 0.77/0.58  # User time                : 0.390 s
% 0.77/0.58  # System time              : 0.027 s
% 0.77/0.58  # Total time               : 0.417 s
% 0.77/0.58  # Maximum resident set size: 1772 pages
% 0.77/0.58  % E---3.1 exiting
% 0.77/0.58  % E exiting
%------------------------------------------------------------------------------