TSTP Solution File: RNG082+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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  : 600s
% DateTime : Mon Jul 18 20:26:51 EDT 2022

% Result   : Theorem 0.29s 9.46s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   84 (  38 unt;   0 def)
%            Number of atoms       :  171 (  66 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  151 (  64   ~;  61   |;  16   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   73 (   0 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mSortsU,axiom,
    ! [X1] :
      ( aElement0(X1)
     => aElement0(smndt0(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsU) ).

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

fof(m__444,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__444) ).

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

fof(mAddAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aElement0(X1)
        & aElement0(X2)
        & aElement0(X3) )
     => sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mAddAsso) ).

fof(mAddInvr,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtpldt0(X1,smndt0(X1)) = sz00
        & sz00 = sdtpldt0(smndt0(X1),X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mAddInvr) ).

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

fof(mAMDistr,axiom,
    ! [X1,X2,X3] :
      ( ( aElement0(X1)
        & aElement0(X2)
        & aElement0(X3) )
     => ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
        & sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mAMDistr) ).

fof(mMulUnit,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtasdt0(X1,sz10) = X1
        & X1 = sdtasdt0(sz10,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulUnit) ).

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

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

fof(mSortsC_01,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsC_01) ).

fof(mSortsC,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsC) ).

fof(m__,conjecture,
    sdtasdt0(smndt0(sz10),xx) = smndt0(xx),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(c_0_14,plain,
    ! [X2] :
      ( ~ aElement0(X2)
      | aElement0(smndt0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( ~ aElement0(X3)
      | ~ aElement0(X4)
      | aElement0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).

cnf(c_0_16,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,hypothesis,
    aElement0(xx),
    inference(split_conjunct,[status(thm)],[m__444]) ).

fof(c_0_18,plain,
    ! [X3,X4] :
      ( ~ aElement0(X3)
      | ~ aElement0(X4)
      | sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).

cnf(c_0_19,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,hypothesis,
    aElement0(smndt0(xx)),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6] :
      ( ~ aElement0(X4)
      | ~ aElement0(X5)
      | ~ aElement0(X6)
      | sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).

fof(c_0_22,plain,
    ! [X2] :
      ( ( sdtpldt0(X2,smndt0(X2)) = sz00
        | ~ aElement0(X2) )
      & ( sz00 = sdtpldt0(smndt0(X2),X2)
        | ~ aElement0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).

fof(c_0_23,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_24,plain,
    ! [X4,X5,X6] :
      ( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
        | ~ aElement0(X4)
        | ~ aElement0(X5)
        | ~ aElement0(X6) )
      & ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
        | ~ aElement0(X4)
        | ~ aElement0(X5)
        | ~ aElement0(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).

fof(c_0_25,plain,
    ! [X2] :
      ( ( sdtasdt0(X2,sz10) = X2
        | ~ aElement0(X2) )
      & ( X2 = sdtasdt0(sz10,X2)
        | ~ aElement0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).

fof(c_0_26,plain,
    ! [X3,X4] :
      ( ~ aElement0(X3)
      | ~ aElement0(X4)
      | sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

cnf(c_0_27,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,hypothesis,
    ( aElement0(sdtpldt0(X1,smndt0(xx)))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_29,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( sz00 = sdtpldt0(smndt0(X1),X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_31,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])])]) ).

cnf(c_0_32,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    aElement0(sz10),
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

cnf(c_0_34,plain,
    ( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aElement0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,hypothesis,
    ( sdtpldt0(X1,xx) = sdtpldt0(xx,X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_17]) ).

cnf(c_0_38,hypothesis,
    aElement0(sdtpldt0(smndt0(xx),smndt0(xx))),
    inference(spm,[status(thm)],[c_0_28,c_0_20]) ).

cnf(c_0_39,hypothesis,
    ( sdtpldt0(sdtpldt0(X1,X2),xx) = sdtpldt0(X1,sdtpldt0(X2,xx))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_17]) ).

cnf(c_0_40,hypothesis,
    sdtpldt0(smndt0(xx),xx) = sz00,
    inference(spm,[status(thm)],[c_0_30,c_0_17]) ).

cnf(c_0_41,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,hypothesis,
    ( aElement0(sdtasdt0(X1,xx))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_17]) ).

cnf(c_0_43,plain,
    aElement0(smndt0(sz10)),
    inference(spm,[status(thm)],[c_0_16,c_0_33]) ).

cnf(c_0_44,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_45,plain,
    aElement0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_46,hypothesis,
    ( sdtpldt0(sdtasdt0(xx,X1),sdtasdt0(xx,X2)) = sdtasdt0(xx,sdtpldt0(X1,X2))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_17]) ).

cnf(c_0_47,hypothesis,
    sdtasdt0(xx,sz10) = xx,
    inference(spm,[status(thm)],[c_0_35,c_0_17]) ).

cnf(c_0_48,hypothesis,
    ( sdtasdt0(X1,xx) = sdtasdt0(xx,X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_17]) ).

cnf(c_0_49,hypothesis,
    sdtpldt0(sdtpldt0(smndt0(xx),smndt0(xx)),xx) = sdtpldt0(xx,sdtpldt0(smndt0(xx),smndt0(xx))),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_50,hypothesis,
    ( sdtpldt0(sdtpldt0(X1,smndt0(xx)),xx) = sdtpldt0(X1,sz00)
    | ~ aElement0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_20]),c_0_40]) ).

cnf(c_0_51,hypothesis,
    sdtpldt0(smndt0(xx),sz00) = smndt0(xx),
    inference(spm,[status(thm)],[c_0_41,c_0_20]) ).

cnf(c_0_52,hypothesis,
    ( aElement0(sdtpldt0(X1,xx))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

cnf(c_0_53,hypothesis,
    aElement0(sdtasdt0(smndt0(sz10),xx)),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_54,hypothesis,
    ( sdtpldt0(sdtpldt0(X1,X2),smndt0(xx)) = sdtpldt0(X1,sdtpldt0(X2,smndt0(xx)))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_20]) ).

cnf(c_0_55,hypothesis,
    sdtpldt0(xx,smndt0(xx)) = sz00,
    inference(spm,[status(thm)],[c_0_44,c_0_17]) ).

cnf(c_0_56,hypothesis,
    aElement0(sdtasdt0(sz00,xx)),
    inference(spm,[status(thm)],[c_0_42,c_0_45]) ).

cnf(c_0_57,hypothesis,
    ( sdtpldt0(xx,sdtasdt0(xx,X1)) = sdtasdt0(xx,sdtpldt0(sz10,X1))
    | ~ aElement0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_47]) ).

cnf(c_0_58,hypothesis,
    sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
    inference(spm,[status(thm)],[c_0_48,c_0_45]) ).

cnf(c_0_59,plain,
    sdtpldt0(sz10,sz00) = sz10,
    inference(spm,[status(thm)],[c_0_41,c_0_33]) ).

cnf(c_0_60,hypothesis,
    ( sdtpldt0(sdtpldt0(X1,sdtpldt0(smndt0(xx),smndt0(xx))),xx) = sdtpldt0(X1,sdtpldt0(xx,sdtpldt0(smndt0(xx),smndt0(xx))))
    | ~ aElement0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_49]) ).

cnf(c_0_61,hypothesis,
    sdtpldt0(xx,sdtpldt0(smndt0(xx),smndt0(xx))) = smndt0(xx),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_20]),c_0_49]),c_0_51]) ).

cnf(c_0_62,hypothesis,
    aElement0(sdtpldt0(sdtasdt0(smndt0(sz10),xx),xx)),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_63,hypothesis,
    sdtpldt0(sdtasdt0(smndt0(sz10),xx),xx) = sdtpldt0(xx,sdtasdt0(smndt0(sz10),xx)),
    inference(spm,[status(thm)],[c_0_37,c_0_53]) ).

cnf(c_0_64,hypothesis,
    ( sdtpldt0(sdtpldt0(X1,xx),smndt0(xx)) = sdtpldt0(X1,sz00)
    | ~ aElement0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_17]),c_0_55]) ).

cnf(c_0_65,hypothesis,
    sdtpldt0(sdtasdt0(smndt0(sz10),xx),sz00) = sdtasdt0(smndt0(sz10),xx),
    inference(spm,[status(thm)],[c_0_41,c_0_53]) ).

cnf(c_0_66,hypothesis,
    sdtasdt0(xx,smndt0(sz10)) = sdtasdt0(smndt0(sz10),xx),
    inference(spm,[status(thm)],[c_0_48,c_0_43]) ).

cnf(c_0_67,hypothesis,
    sdtpldt0(sdtasdt0(sz00,xx),sz00) = sdtasdt0(sz00,xx),
    inference(spm,[status(thm)],[c_0_41,c_0_56]) ).

cnf(c_0_68,hypothesis,
    sdtpldt0(sdtasdt0(sz00,xx),xx) = sdtpldt0(xx,sdtasdt0(sz00,xx)),
    inference(spm,[status(thm)],[c_0_37,c_0_56]) ).

cnf(c_0_69,hypothesis,
    sdtpldt0(xx,sdtasdt0(sz00,xx)) = xx,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_45]),c_0_58]),c_0_59]),c_0_47]) ).

fof(c_0_70,negated_conjecture,
    sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_71,hypothesis,
    ( sdtpldt0(sdtpldt0(X1,sdtpldt0(smndt0(xx),smndt0(xx))),xx) = sdtpldt0(X1,smndt0(xx))
    | ~ aElement0(X1) ),
    inference(rw,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_72,hypothesis,
    aElement0(sdtpldt0(xx,sdtasdt0(smndt0(sz10),xx))),
    inference(rw,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_73,hypothesis,
    sdtpldt0(sdtpldt0(xx,sdtasdt0(smndt0(sz10),xx)),smndt0(xx)) = sdtasdt0(smndt0(sz10),xx),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_53]),c_0_65]),c_0_63]) ).

cnf(c_0_74,hypothesis,
    ( sdtpldt0(sdtasdt0(smndt0(sz10),xx),sdtasdt0(xx,X1)) = sdtasdt0(xx,sdtpldt0(smndt0(sz10),X1))
    | ~ aElement0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_43]),c_0_66]) ).

cnf(c_0_75,plain,
    sdtpldt0(smndt0(sz10),sz10) = sz00,
    inference(spm,[status(thm)],[c_0_30,c_0_33]) ).

cnf(c_0_76,hypothesis,
    sdtasdt0(sz00,xx) = sz00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_56]),c_0_67]),c_0_68]),c_0_69]),c_0_55]) ).

cnf(c_0_77,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_78,negated_conjecture,
    sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

cnf(c_0_79,hypothesis,
    sdtpldt0(sdtpldt0(sdtpldt0(xx,sdtasdt0(smndt0(sz10),xx)),sdtpldt0(smndt0(xx),smndt0(xx))),xx) = sdtasdt0(smndt0(sz10),xx),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

cnf(c_0_80,hypothesis,
    sdtpldt0(xx,sdtasdt0(smndt0(sz10),xx)) = sz00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_33]),c_0_47]),c_0_75]),c_0_58]),c_0_63]),c_0_76]) ).

cnf(c_0_81,hypothesis,
    sdtpldt0(sz00,sdtpldt0(smndt0(xx),smndt0(xx))) = sdtpldt0(smndt0(xx),smndt0(xx)),
    inference(spm,[status(thm)],[c_0_77,c_0_38]) ).

cnf(c_0_82,negated_conjecture,
    sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_83,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_49]),c_0_61]),c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 05:12:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.29/9.46  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.29/9.46  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.29/9.46  # Preprocessing time       : 0.014 s
% 0.29/9.46  
% 0.29/9.46  # Proof found!
% 0.29/9.46  # SZS status Theorem
% 0.29/9.46  # SZS output start CNFRefutation
% See solution above
% 0.29/9.46  # Proof object total steps             : 84
% 0.29/9.46  # Proof object clause steps            : 58
% 0.29/9.46  # Proof object formula steps           : 26
% 0.29/9.46  # Proof object conjectures             : 4
% 0.29/9.46  # Proof object clause conjectures      : 1
% 0.29/9.46  # Proof object formula conjectures     : 3
% 0.29/9.46  # Proof object initial clauses used    : 16
% 0.29/9.46  # Proof object initial formulas used   : 14
% 0.29/9.46  # Proof object generating inferences   : 39
% 0.29/9.46  # Proof object simplifying inferences  : 29
% 0.29/9.46  # Training examples: 0 positive, 0 negative
% 0.29/9.46  # Parsed axioms                        : 16
% 0.29/9.46  # Removed by relevancy pruning/SinE    : 0
% 0.29/9.46  # Initial clauses                      : 20
% 0.29/9.46  # Removed in clause preprocessing      : 1
% 0.29/9.46  # Initial clauses in saturation        : 19
% 0.29/9.46  # Processed clauses                    : 10277
% 0.29/9.46  # ...of these trivial                  : 1112
% 0.29/9.46  # ...subsumed                          : 365
% 0.29/9.46  # ...remaining for further processing  : 8800
% 0.29/9.46  # Other redundant clauses eliminated   : 0
% 0.29/9.46  # Clauses deleted for lack of memory   : 346534
% 0.29/9.46  # Backward-subsumed                    : 0
% 0.29/9.46  # Backward-rewritten                   : 5125
% 0.29/9.46  # Generated clauses                    : 795832
% 0.29/9.46  # ...of the previous two non-trivial   : 794507
% 0.29/9.46  # Contextual simplify-reflections      : 0
% 0.29/9.46  # Paramodulations                      : 795832
% 0.29/9.46  # Factorizations                       : 0
% 0.29/9.46  # Equation resolutions                 : 0
% 0.29/9.46  # Current number of processed clauses  : 3675
% 0.29/9.46  #    Positive orientable unit clauses  : 2861
% 0.29/9.46  #    Positive unorientable unit clauses: 0
% 0.29/9.46  #    Negative unit clauses             : 1
% 0.29/9.46  #    Non-unit-clauses                  : 813
% 0.29/9.46  # Current number of unprocessed clauses: 107299
% 0.29/9.46  # ...number of literals in the above   : 114635
% 0.29/9.46  # Current number of archived formulas  : 0
% 0.29/9.46  # Current number of archived clauses   : 5125
% 0.29/9.46  # Clause-clause subsumption calls (NU) : 67401
% 0.29/9.46  # Rec. Clause-clause subsumption calls : 67393
% 0.29/9.46  # Non-unit clause-clause subsumptions  : 365
% 0.29/9.46  # Unit Clause-clause subsumption calls : 14347
% 0.29/9.46  # Rewrite failures with RHS unbound    : 0
% 0.29/9.46  # BW rewrite match attempts            : 158755
% 0.29/9.46  # BW rewrite match successes           : 943
% 0.29/9.46  # Condensation attempts                : 0
% 0.29/9.46  # Condensation successes               : 0
% 0.29/9.46  # Termbank termtop insertions          : 23172512
% 0.29/9.46  
% 0.29/9.46  # -------------------------------------------------
% 0.29/9.46  # User time                : 8.713 s
% 0.29/9.46  # System time              : 0.124 s
% 0.29/9.46  # Total time               : 8.837 s
% 0.29/9.46  # Maximum resident set size: 154592 pages
% 0.29/23.41  eprover: CPU time limit exceeded, terminating
% 0.29/23.41  eprover: CPU time limit exceeded, terminating
% 0.29/23.42  eprover: CPU time limit exceeded, terminating
% 0.29/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43  eprover: No such file or directory
% 0.29/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43  eprover: No such file or directory
% 0.29/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48  eprover: No such file or directory
% 0.29/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48  eprover: No such file or directory
% 0.29/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48  eprover: No such file or directory
% 0.29/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------