TSTP Solution File: RNG109+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG109+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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  : 600s
% DateTime : Mon Jul 18 20:26:57 EDT 2022

% Result   : Theorem 0.26s 9.45s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   64 (  11 unt;   0 def)
%            Number of atoms       :  283 (  80 equ)
%            Maximal formula atoms :   52 (   4 avg)
%            Number of connectives :  390 ( 171   ~; 173   |;  34   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   4 con; 0-4 aty)
%            Number of variables   :  108 (   4 sgn  40   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => aElement0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB_02) ).

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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefPrIdeal) ).

fof(mDefDiv,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => ( doDivides0(X1,X2)
      <=> ? [X3] :
            ( aElement0(X3)
            & sdtasdt0(X1,X3) = X2 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiv) ).

fof(mDefSSum,axiom,
    ! [X1,X2] :
      ( ( aSet0(X1)
        & aSet0(X2) )
     => ! [X3] :
          ( X3 = sdtpldt1(X1,X2)
        <=> ( aSet0(X3)
            & ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ? [X5,X6] :
                    ( aElementOf0(X5,X1)
                    & aElementOf0(X6,X2)
                    & sdtpldt0(X5,X6) = X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSSum) ).

fof(m__2203,hypothesis,
    ( aElementOf0(sz00,slsdtgt0(xa))
    & aElementOf0(xa,slsdtgt0(xa))
    & aElementOf0(sz00,slsdtgt0(xb))
    & aElementOf0(xb,slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2203) ).

fof(m__,conjecture,
    ? [X1] :
      ( aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & X1 != sz00 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__2174,hypothesis,
    ( aIdeal0(xI)
    & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2174) ).

fof(mAddZero,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).

fof(m__2091,hypothesis,
    ( aElement0(xa)
    & aElement0(xb) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2091) ).

fof(m__2110,hypothesis,
    ( xa != sz00
    | xb != sz00 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2110) ).

fof(c_0_11,plain,
    ! [X3,X4] :
      ( ~ aElement0(X3)
      | ~ aElement0(X4)
      | aElement0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).

fof(c_0_12,plain,
    ! [X5,X6,X7,X7,X9,X6,X11] :
      ( ( aSet0(X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( aElement0(esk18_3(X5,X6,X7))
        | ~ aElementOf0(X7,X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( sdtasdt0(X5,esk18_3(X5,X6,X7)) = X7
        | ~ aElementOf0(X7,X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( ~ aElement0(X9)
        | sdtasdt0(X5,X9) != X7
        | aElementOf0(X7,X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( ~ aElementOf0(esk19_2(X5,X6),X6)
        | ~ aElement0(X11)
        | sdtasdt0(X5,X11) != esk19_2(X5,X6)
        | ~ aSet0(X6)
        | X6 = slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( aElement0(esk20_2(X5,X6))
        | aElementOf0(esk19_2(X5,X6),X6)
        | ~ aSet0(X6)
        | X6 = slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( sdtasdt0(X5,esk20_2(X5,X6)) = esk19_2(X5,X6)
        | aElementOf0(esk19_2(X5,X6),X6)
        | ~ aSet0(X6)
        | X6 = slsdtgt0(X5)
        | ~ aElement0(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrIdeal])])])])])])]) ).

fof(c_0_13,plain,
    ! [X4,X5,X7] :
      ( ( aElement0(esk16_2(X4,X5))
        | ~ doDivides0(X4,X5)
        | ~ aElement0(X4)
        | ~ aElement0(X5) )
      & ( sdtasdt0(X4,esk16_2(X4,X5)) = X5
        | ~ doDivides0(X4,X5)
        | ~ aElement0(X4)
        | ~ aElement0(X5) )
      & ( ~ aElement0(X7)
        | sdtasdt0(X4,X7) != X5
        | doDivides0(X4,X5)
        | ~ aElement0(X4)
        | ~ aElement0(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])])])]) ).

cnf(c_0_14,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
    | ~ aElement0(X1)
    | X2 != slsdtgt0(X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( aElement0(esk18_3(X1,X2,X3))
    | ~ aElement0(X1)
    | X2 != slsdtgt0(X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( doDivides0(X2,X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sdtasdt0(X2,X3) != X1
    | ~ aElement0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( aElement0(X1)
    | X2 != slsdtgt0(X3)
    | ~ aElementOf0(X1,X2)
    | ~ aElement0(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

fof(c_0_19,plain,
    ! [X7,X8,X9,X10,X10,X13,X14,X9,X16,X17] :
      ( ( aSet0(X9)
        | X9 != sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( aElementOf0(esk3_4(X7,X8,X9,X10),X7)
        | ~ aElementOf0(X10,X9)
        | X9 != sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( aElementOf0(esk4_4(X7,X8,X9,X10),X8)
        | ~ aElementOf0(X10,X9)
        | X9 != sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( sdtpldt0(esk3_4(X7,X8,X9,X10),esk4_4(X7,X8,X9,X10)) = X10
        | ~ aElementOf0(X10,X9)
        | X9 != sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( ~ aElementOf0(X13,X7)
        | ~ aElementOf0(X14,X8)
        | sdtpldt0(X13,X14) != X10
        | aElementOf0(X10,X9)
        | X9 != sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( ~ aElementOf0(esk5_3(X7,X8,X9),X9)
        | ~ aElementOf0(X16,X7)
        | ~ aElementOf0(X17,X8)
        | sdtpldt0(X16,X17) != esk5_3(X7,X8,X9)
        | ~ aSet0(X9)
        | X9 = sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( aElementOf0(esk6_3(X7,X8,X9),X7)
        | aElementOf0(esk5_3(X7,X8,X9),X9)
        | ~ aSet0(X9)
        | X9 = sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( aElementOf0(esk7_3(X7,X8,X9),X8)
        | aElementOf0(esk5_3(X7,X8,X9),X9)
        | ~ aSet0(X9)
        | X9 = sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) )
      & ( sdtpldt0(esk6_3(X7,X8,X9),esk7_3(X7,X8,X9)) = esk5_3(X7,X8,X9)
        | aElementOf0(esk5_3(X7,X8,X9),X9)
        | ~ aSet0(X9)
        | X9 = sdtpldt1(X7,X8)
        | ~ aSet0(X7)
        | ~ aSet0(X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSSum])])])])])])]) ).

cnf(c_0_20,plain,
    ( aElementOf0(X3,X2)
    | ~ aElement0(X1)
    | X2 != slsdtgt0(X1)
    | sdtasdt0(X1,X4) != X3
    | ~ aElement0(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,plain,
    ( sdtasdt0(X2,esk16_2(X2,X1)) = X1
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( aElement0(esk16_2(X2,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ( doDivides0(X1,X2)
    | X3 != slsdtgt0(X1)
    | ~ aElementOf0(X2,X3)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15])]),c_0_18]),c_0_16]) ).

cnf(c_0_24,hypothesis,
    aElementOf0(xb,slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[m__2203]) ).

fof(c_0_25,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
        & X1 != sz00 ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_26,plain,
    ( aElementOf0(X4,X3)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | X3 != sdtpldt1(X2,X1)
    | sdtpldt0(X5,X6) != X4
    | ~ aElementOf0(X6,X1)
    | ~ aElementOf0(X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,hypothesis,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[m__2174]) ).

fof(c_0_28,plain,
    ! [X2] :
      ( ( sdtpldt0(X2,sz00) = X2
        | ~ aElement0(X2) )
      & ( X2 = sdtpldt0(sz00,X2)
        | ~ aElement0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).

fof(c_0_29,plain,
    ! [X3,X4] :
      ( ~ aSet0(X3)
      | ~ aElementOf0(X4,X3)
      | aElement0(X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).

cnf(c_0_30,plain,
    ( aElementOf0(X1,X2)
    | X2 != slsdtgt0(X3)
    | ~ doDivides0(X3,X1)
    | ~ aElement0(X3)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21])]),c_0_22]) ).

cnf(c_0_31,hypothesis,
    ( doDivides0(X1,xb)
    | slsdtgt0(xb) != slsdtgt0(X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_32,hypothesis,
    aElement0(xb),
    inference(split_conjunct,[status(thm)],[m__2091]) ).

fof(c_0_33,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      | X2 = sz00 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).

cnf(c_0_34,hypothesis,
    ( aElementOf0(X1,X2)
    | sdtpldt0(X3,X4) != X1
    | X2 != xI
    | ~ aElementOf0(X4,slsdtgt0(xb))
    | ~ aElementOf0(X3,slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,hypothesis,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference(split_conjunct,[status(thm)],[m__2203]) ).

cnf(c_0_37,plain,
    ( aElement0(X1)
    | ~ aElementOf0(X1,X2)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_38,hypothesis,
    ( aElementOf0(xb,X1)
    | slsdtgt0(xb) != slsdtgt0(X2)
    | X1 != slsdtgt0(X2)
    | ~ aElement0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_39,negated_conjecture,
    ( X1 = sz00
    | ~ aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,hypothesis,
    ( aElementOf0(X1,X2)
    | X2 != xI
    | ~ aElementOf0(X1,slsdtgt0(xb))
    | ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])])]),c_0_37]) ).

cnf(c_0_41,hypothesis,
    ( aElementOf0(xb,slsdtgt0(X1))
    | slsdtgt0(xb) != slsdtgt0(X1)
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    ( X1 = sz00
    | ~ aElementOf0(X1,xI) ),
    inference(rw,[status(thm)],[c_0_39,c_0_27]) ).

cnf(c_0_43,hypothesis,
    ( aElementOf0(xb,X1)
    | X1 != xI
    | ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_32])]) ).

cnf(c_0_44,plain,
    ( aSet0(X2)
    | ~ aElement0(X1)
    | X2 != slsdtgt0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_45,hypothesis,
    aElementOf0(xa,slsdtgt0(xa)),
    inference(split_conjunct,[status(thm)],[m__2203]) ).

cnf(c_0_46,negated_conjecture,
    ( sz00 = xb
    | ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,plain,
    ( aSet0(slsdtgt0(X1))
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_48,hypothesis,
    ( doDivides0(X1,xa)
    | slsdtgt0(xa) != slsdtgt0(X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_45]) ).

cnf(c_0_49,hypothesis,
    aElement0(xa),
    inference(split_conjunct,[status(thm)],[m__2091]) ).

cnf(c_0_50,negated_conjecture,
    ( sz00 = xb
    | ~ aSet0(slsdtgt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_32])]) ).

cnf(c_0_51,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_52,hypothesis,
    aElementOf0(sz00,slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[m__2203]) ).

cnf(c_0_53,hypothesis,
    ( aElementOf0(xa,X1)
    | slsdtgt0(xa) != slsdtgt0(X2)
    | X1 != slsdtgt0(X2)
    | ~ aElement0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_49])]) ).

cnf(c_0_54,negated_conjecture,
    sz00 = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_49])]) ).

cnf(c_0_55,hypothesis,
    ( aElementOf0(X1,X2)
    | X2 != xI
    | ~ aElementOf0(X1,slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_51]),c_0_52])])]),c_0_37]) ).

cnf(c_0_56,hypothesis,
    ( aElementOf0(xa,slsdtgt0(X1))
    | slsdtgt0(xa) != slsdtgt0(X1)
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_53]) ).

cnf(c_0_57,hypothesis,
    ( xb != sz00
    | xa != sz00 ),
    inference(split_conjunct,[status(thm)],[m__2110]) ).

cnf(c_0_58,negated_conjecture,
    ( X1 = xb
    | ~ aElementOf0(X1,xI) ),
    inference(rw,[status(thm)],[c_0_42,c_0_54]) ).

cnf(c_0_59,hypothesis,
    ( aElementOf0(xa,X1)
    | X1 != xI
    | ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_49])]) ).

cnf(c_0_60,hypothesis,
    xb != xa,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_54]),c_0_54])]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ aSet0(slsdtgt0(xa))
    | ~ aSet0(slsdtgt0(xb)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_62,negated_conjecture,
    ~ aSet0(slsdtgt0(xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_47]),c_0_32])]) ).

cnf(c_0_63,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_47]),c_0_49])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : RNG109+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n017.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  : 600
% 0.12/0.33  % DateTime : Mon May 30 09:16:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.26/9.45  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/9.45  # Preprocessing time       : 0.020 s
% 0.26/9.45  
% 0.26/9.45  # Proof found!
% 0.26/9.45  # SZS status Theorem
% 0.26/9.45  # SZS output start CNFRefutation
% See solution above
% 0.26/9.45  # Proof object total steps             : 64
% 0.26/9.45  # Proof object clause steps            : 45
% 0.26/9.45  # Proof object formula steps           : 19
% 0.26/9.45  # Proof object conjectures             : 12
% 0.26/9.45  # Proof object clause conjectures      : 9
% 0.26/9.45  # Proof object formula conjectures     : 3
% 0.26/9.45  # Proof object initial clauses used    : 21
% 0.26/9.45  # Proof object initial formulas used   : 11
% 0.26/9.45  # Proof object generating inferences   : 21
% 0.26/9.45  # Proof object simplifying inferences  : 36
% 0.26/9.45  # Training examples: 0 positive, 0 negative
% 0.26/9.45  # Parsed axioms                        : 44
% 0.26/9.45  # Removed by relevancy pruning/SinE    : 0
% 0.26/9.45  # Initial clauses                      : 104
% 0.26/9.45  # Removed in clause preprocessing      : 4
% 0.26/9.45  # Initial clauses in saturation        : 100
% 0.26/9.45  # Processed clauses                    : 8137
% 0.26/9.45  # ...of these trivial                  : 166
% 0.26/9.45  # ...subsumed                          : 5236
% 0.26/9.45  # ...remaining for further processing  : 2735
% 0.26/9.45  # Other redundant clauses eliminated   : 891
% 0.26/9.45  # Clauses deleted for lack of memory   : 338683
% 0.26/9.45  # Backward-subsumed                    : 111
% 0.26/9.45  # Backward-rewritten                   : 1322
% 0.26/9.45  # Generated clauses                    : 524235
% 0.26/9.45  # ...of the previous two non-trivial   : 517128
% 0.26/9.45  # Contextual simplify-reflections      : 3754
% 0.26/9.45  # Paramodulations                      : 522697
% 0.26/9.45  # Factorizations                       : 2
% 0.26/9.45  # Equation resolutions                 : 1137
% 0.26/9.45  # Current number of processed clauses  : 1091
% 0.26/9.45  #    Positive orientable unit clauses  : 104
% 0.26/9.45  #    Positive unorientable unit clauses: 0
% 0.26/9.45  #    Negative unit clauses             : 89
% 0.26/9.45  #    Non-unit-clauses                  : 898
% 0.26/9.45  # Current number of unprocessed clauses: 91509
% 0.26/9.45  # ...number of literals in the above   : 733582
% 0.26/9.45  # Current number of archived formulas  : 0
% 0.26/9.45  # Current number of archived clauses   : 1433
% 0.26/9.45  # Clause-clause subsumption calls (NU) : 1545625
% 0.26/9.45  # Rec. Clause-clause subsumption calls : 444136
% 0.26/9.45  # Non-unit clause-clause subsumptions  : 9241
% 0.26/9.45  # Unit Clause-clause subsumption calls : 93415
% 0.26/9.45  # Rewrite failures with RHS unbound    : 0
% 0.26/9.45  # BW rewrite match attempts            : 100
% 0.26/9.45  # BW rewrite match successes           : 100
% 0.26/9.45  # Condensation attempts                : 0
% 0.26/9.45  # Condensation successes               : 0
% 0.26/9.45  # Termbank termtop insertions          : 13324109
% 0.26/9.45  
% 0.26/9.45  # -------------------------------------------------
% 0.26/9.45  # User time                : 7.954 s
% 0.26/9.45  # System time              : 0.115 s
% 0.26/9.45  # Total time               : 8.069 s
% 0.26/9.45  # Maximum resident set size: 143884 pages
% 0.26/23.41  eprover: CPU time limit exceeded, terminating
% 0.26/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.42  eprover: No such file or directory
% 0.26/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43  eprover: No such file or directory
% 0.26/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------