TSTP Solution File: RNG081+2 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : RNG081+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n004.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 13:49:01 EDT 2023

% Result   : Theorem 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   40
% Syntax   : Number of formulae    :   62 (  14 unt;  33 typ;   0 def)
%            Number of atoms       :  223 ( 123 equ)
%            Maximal formula atoms :   75 (   7 avg)
%            Number of connectives :  225 (  31   ~;  59   |; 123   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  15   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  18 con; 0-2 aty)
%            Number of variables   :   47 (   0 sgn;  14   !;  28   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    aNaturalNumber0: $i > $o ).

tff(decl_23,type,
    sz00: $i ).

tff(decl_24,type,
    szszuzczcdt0: $i > $i ).

tff(decl_25,type,
    iLess0: ( $i * $i ) > $o ).

tff(decl_26,type,
    aScalar0: $i > $o ).

tff(decl_27,type,
    sz0z00: $i ).

tff(decl_28,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(decl_29,type,
    sdtasdt0: ( $i * $i ) > $i ).

tff(decl_30,type,
    smndt0: $i > $i ).

tff(decl_31,type,
    sdtlseqdt0: ( $i * $i ) > $o ).

tff(decl_32,type,
    aVector0: $i > $o ).

tff(decl_33,type,
    aDimensionOf0: $i > $i ).

tff(decl_34,type,
    sdtlbdtrb0: ( $i * $i ) > $i ).

tff(decl_35,type,
    sziznziztdt0: $i > $i ).

tff(decl_36,type,
    sdtasasdt0: ( $i * $i ) > $i ).

tff(decl_37,type,
    xs: $i ).

tff(decl_38,type,
    xt: $i ).

tff(decl_39,type,
    esk1_1: $i > $i ).

tff(decl_40,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_41,type,
    esk3_0: $i ).

tff(decl_42,type,
    esk4_0: $i ).

tff(decl_43,type,
    esk5_0: $i ).

tff(decl_44,type,
    esk6_0: $i ).

tff(decl_45,type,
    esk7_0: $i ).

tff(decl_46,type,
    esk8_0: $i ).

tff(decl_47,type,
    esk9_0: $i ).

tff(decl_48,type,
    esk10_0: $i ).

tff(decl_49,type,
    esk11_0: $i ).

tff(decl_50,type,
    esk12_0: $i ).

tff(decl_51,type,
    esk13_0: $i ).

tff(decl_52,type,
    esk14_0: $i ).

tff(decl_53,type,
    esk15_0: $i ).

tff(decl_54,type,
    esk16_0: $i ).

fof(m__,conjecture,
    ( ( aDimensionOf0(xs) != sz00
     => ? [X1] :
          ( aVector0(X1)
          & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
          & ! [X2] :
              ( aNaturalNumber0(X2)
             => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
          & X1 = sziznziztdt0(xs)
          & ? [X2] :
              ( aVector0(X2)
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
              & ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
              & X2 = sziznziztdt0(xt)
              & ? [X3] :
                  ( aScalar0(X3)
                  & X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
                  & ? [X4] :
                      ( aScalar0(X4)
                      & X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
                      & ? [X5] :
                          ( aScalar0(X5)
                          & X5 = sdtasasdt0(X1,X1)
                          & ? [X6] :
                              ( aScalar0(X6)
                              & X6 = sdtasasdt0(X2,X2)
                              & ? [X7] :
                                  ( aScalar0(X7)
                                  & X7 = sdtasasdt0(X1,X2)
                                  & ? [X8] :
                                      ( aScalar0(X8)
                                      & X8 = sdtasdt0(X3,X3)
                                      & ? [X9] :
                                          ( aScalar0(X9)
                                          & X9 = sdtasdt0(X4,X4)
                                          & ? [X10] :
                                              ( aScalar0(X10)
                                              & X10 = sdtasdt0(X3,X4)
                                              & ? [X11] :
                                                  ( aScalar0(X11)
                                                  & X11 = sdtasdt0(X5,X9)
                                                  & ? [X12] :
                                                      ( aScalar0(X12)
                                                      & X12 = sdtasdt0(X7,X10)
                                                      & ? [X13] :
                                                          ( aScalar0(X13)
                                                          & X13 = sdtasdt0(X8,X6)
                                                          & ? [X14] :
                                                              ( aScalar0(X14)
                                                              & X14 = sdtasdt0(X11,X13)
                                                              & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                              & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
                                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                              & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
   => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mDefSPZ,axiom,
    ! [X1,X2] :
      ( ( aVector0(X1)
        & aVector0(X2) )
     => ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
          & aDimensionOf0(X2) = sz00 )
       => sdtasasdt0(X1,X2) = sz0z00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).

fof(m__1678_01,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).

fof(m__1678,hypothesis,
    ( aVector0(xs)
    & aVector0(xt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).

fof(mScZero,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => ( sdtpldt0(X1,sz0z00) = X1
        & sdtpldt0(sz0z00,X1) = X1
        & sdtasdt0(X1,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,X1) = sz0z00
        & sdtpldt0(X1,smndt0(X1)) = sz0z00
        & sdtpldt0(smndt0(X1),X1) = sz0z00
        & smndt0(smndt0(X1)) = X1
        & smndt0(sz0z00) = sz0z00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).

fof(mSZeroSc,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).

fof(mSqPos,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).

fof(c_0_7,negated_conjecture,
    ~ ( ( aDimensionOf0(xs) != sz00
       => ? [X1] :
            ( aVector0(X1)
            & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
            & ! [X2] :
                ( aNaturalNumber0(X2)
               => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
            & X1 = sziznziztdt0(xs)
            & ? [X2] :
                ( aVector0(X2)
                & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
                & ! [X3] :
                    ( aNaturalNumber0(X3)
                   => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
                & X2 = sziznziztdt0(xt)
                & ? [X3] :
                    ( aScalar0(X3)
                    & X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
                    & ? [X4] :
                        ( aScalar0(X4)
                        & X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
                        & ? [X5] :
                            ( aScalar0(X5)
                            & X5 = sdtasasdt0(X1,X1)
                            & ? [X6] :
                                ( aScalar0(X6)
                                & X6 = sdtasasdt0(X2,X2)
                                & ? [X7] :
                                    ( aScalar0(X7)
                                    & X7 = sdtasasdt0(X1,X2)
                                    & ? [X8] :
                                        ( aScalar0(X8)
                                        & X8 = sdtasdt0(X3,X3)
                                        & ? [X9] :
                                            ( aScalar0(X9)
                                            & X9 = sdtasdt0(X4,X4)
                                            & ? [X10] :
                                                ( aScalar0(X10)
                                                & X10 = sdtasdt0(X3,X4)
                                                & ? [X11] :
                                                    ( aScalar0(X11)
                                                    & X11 = sdtasdt0(X5,X9)
                                                    & ? [X12] :
                                                        ( aScalar0(X12)
                                                        & X12 = sdtasdt0(X7,X10)
                                                        & ? [X13] :
                                                            ( aScalar0(X13)
                                                            & X13 = sdtasdt0(X8,X6)
                                                            & ? [X14] :
                                                                ( aScalar0(X14)
                                                                & X14 = sdtasdt0(X11,X13)
                                                                & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                                & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
                                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                                & sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
     => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_8,negated_conjecture,
    ! [X82,X84] :
      ( ( aVector0(esk3_0)
        | aDimensionOf0(xs) = sz00 )
      & ( szszuzczcdt0(aDimensionOf0(esk3_0)) = aDimensionOf0(xs)
        | aDimensionOf0(xs) = sz00 )
      & ( ~ aNaturalNumber0(X82)
        | sdtlbdtrb0(esk3_0,X82) = sdtlbdtrb0(xs,X82)
        | aDimensionOf0(xs) = sz00 )
      & ( esk3_0 = sziznziztdt0(xs)
        | aDimensionOf0(xs) = sz00 )
      & ( aVector0(esk4_0)
        | aDimensionOf0(xs) = sz00 )
      & ( szszuzczcdt0(aDimensionOf0(esk4_0)) = aDimensionOf0(xt)
        | aDimensionOf0(xs) = sz00 )
      & ( ~ aNaturalNumber0(X84)
        | sdtlbdtrb0(esk4_0,X84) = sdtlbdtrb0(xt,X84)
        | aDimensionOf0(xs) = sz00 )
      & ( esk4_0 = sziznziztdt0(xt)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk5_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk5_0 = sdtlbdtrb0(xs,aDimensionOf0(xs))
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk6_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk6_0 = sdtlbdtrb0(xt,aDimensionOf0(xt))
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk7_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk7_0 = sdtasasdt0(esk3_0,esk3_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk8_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk8_0 = sdtasasdt0(esk4_0,esk4_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk9_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk9_0 = sdtasasdt0(esk3_0,esk4_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk10_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk10_0 = sdtasdt0(esk5_0,esk5_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk11_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk11_0 = sdtasdt0(esk6_0,esk6_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk12_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk12_0 = sdtasdt0(esk5_0,esk6_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk13_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk13_0 = sdtasdt0(esk7_0,esk11_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk14_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk14_0 = sdtasdt0(esk9_0,esk12_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk15_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk15_0 = sdtasdt0(esk10_0,esk8_0)
        | aDimensionOf0(xs) = sz00 )
      & ( aScalar0(esk16_0)
        | aDimensionOf0(xs) = sz00 )
      & ( esk16_0 = sdtasdt0(esk13_0,esk15_0)
        | aDimensionOf0(xs) = sz00 )
      & ( sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0))
        | aDimensionOf0(xs) = sz00 )
      & ( sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0))
        | aDimensionOf0(xs) = sz00 )
      & ( sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0)))
        | aDimensionOf0(xs) = sz00 )
      & ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
        | aDimensionOf0(xs) = sz00 )
      & ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).

fof(c_0_9,plain,
    ! [X74,X75] :
      ( ~ aVector0(X74)
      | ~ aVector0(X75)
      | aDimensionOf0(X74) != aDimensionOf0(X75)
      | aDimensionOf0(X75) != sz00
      | sdtasasdt0(X74,X75) = sz0z00 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPZ])]) ).

cnf(c_0_10,negated_conjecture,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
    | aDimensionOf0(xs) = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( sdtasasdt0(X1,X2) = sz0z00
    | ~ aVector0(X1)
    | ~ aVector0(X2)
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | aDimensionOf0(X2) != sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    aDimensionOf0(xs) = sz00,
    inference(sr,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(split_conjunct,[status(thm)],[m__1678_01]) ).

cnf(c_0_15,hypothesis,
    aVector0(xt),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_16,hypothesis,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

fof(c_0_17,plain,
    ! [X26] :
      ( ( sdtpldt0(X26,sz0z00) = X26
        | ~ aScalar0(X26) )
      & ( sdtpldt0(sz0z00,X26) = X26
        | ~ aScalar0(X26) )
      & ( sdtasdt0(X26,sz0z00) = sz0z00
        | ~ aScalar0(X26) )
      & ( sdtasdt0(sz0z00,X26) = sz0z00
        | ~ aScalar0(X26) )
      & ( sdtpldt0(X26,smndt0(X26)) = sz0z00
        | ~ aScalar0(X26) )
      & ( sdtpldt0(smndt0(X26),X26) = sz0z00
        | ~ aScalar0(X26) )
      & ( smndt0(smndt0(X26)) = X26
        | ~ aScalar0(X26) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X26) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).

cnf(c_0_18,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_11,c_0_12]),c_0_13]),c_0_14]),c_0_13]),c_0_14]),c_0_13]),c_0_15]),c_0_16])]) ).

cnf(c_0_19,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

fof(c_0_21,plain,
    ! [X59] :
      ( ~ aScalar0(X59)
      | sdtlseqdt0(sz0z00,sdtasdt0(X59,X59)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).

cnf(c_0_22,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_23,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sz0z00)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_14]),c_0_13]),c_0_15])]) ).

cnf(c_0_26,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20])]) ).

cnf(c_0_27,negated_conjecture,
    ~ aScalar0(sdtasasdt0(xs,xs)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_26])]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_12]),c_0_20]),c_0_13]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG081+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.35  % Computer : n004.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Sun Aug 27 02:57:07 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.21/0.56  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.018000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.022000 s
%------------------------------------------------------------------------------