TSTP Solution File: RNG071+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG071+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n020.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 Aug 22 10:54:52 EDT 2023

% Result   : Theorem 11.00s 3.73s
% Output   : CNFRefutation 11.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  121 (  44 unt;  33 typ;   0 def)
%            Number of atoms       :  187 (  25 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  174 (  75   ~;  61   |;  26   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 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   :   34 (;  34   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aVector0 > aScalar0 > aNaturalNumber0 > sdtpldt0 > sdtlbdtrb0 > sdtasdt0 > sdtasasdt0 > #nlpp > szszuzczcdt0 > sziznziztdt0 > smndt0 > aDimensionOf0 > xt > xs > xq > xp > xS > xR > xP > xN > xH > xG > xF > xE > xD > xC > xB > xA > sz0z00 > sz00 > #skF_1 > #skF_2

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(xq,type,
    xq: $i ).

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

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

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

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

tff(xG,type,
    xG: $i ).

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff(xE,type,
    xE: $i ).

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

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

tff(xS,type,
    xS: $i ).

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

tff(xR,type,
    xR: $i ).

tff(xH,type,
    xH: $i ).

tff(xP,type,
    xP: $i ).

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

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

tff(xB,type,
    xB: $i ).

tff(aNaturalNumber0,type,
    aNaturalNumber0: $i > $o ).

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

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

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

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

tff(xN,type,
    xN: $i ).

tff(xC,type,
    xC: $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(xp,type,
    xp: $i ).

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

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

tff(xA,type,
    xA: $i ).

tff(xD,type,
    xD: $i ).

tff(xF,type,
    xF: $i ).

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

tff(f_388,hypothesis,
    ( aScalar0(xR)
    & ( xR = sdtasdt0(xC,xG) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).

tff(f_394,hypothesis,
    ( aScalar0(xS)
    & ( xS = sdtasdt0(xF,xD) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).

tff(f_235,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( ( sdtlseqdt0(sz0z00,W0)
          & sdtlseqdt0(sz0z00,W1) )
       => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
          & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).

tff(f_408,negated_conjecture,
    ~ ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
      & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

tff(f_370,hypothesis,
    ( aScalar0(xC)
    & ( xC = sdtasasdt0(xp,xp) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).

tff(f_382,hypothesis,
    ( aScalar0(xG)
    & ( xG = sdtasdt0(xB,xB) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).

tff(f_351,hypothesis,
    ( aVector0(xp)
    & ( szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs) )
    & ! [W0] :
        ( aNaturalNumber0(W0)
       => ( sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) ) )
    & ( xp = sziznziztdt0(xs) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).

tff(f_325,axiom,
    ! [W0] :
      ( aVector0(W0)
     => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).

tff(f_367,hypothesis,
    ( aScalar0(xB)
    & ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).

tff(f_239,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).

tff(f_379,hypothesis,
    ( aScalar0(xF)
    & ( xF = sdtasdt0(xA,xA) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

tff(f_373,hypothesis,
    ( aScalar0(xD)
    & ( xD = sdtasasdt0(xq,xq) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).

tff(f_364,hypothesis,
    ( aScalar0(xA)
    & ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).

tff(f_361,hypothesis,
    ( aVector0(xq)
    & ( szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt) )
    & ! [W0] :
        ( aNaturalNumber0(W0)
       => ( sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) ) )
    & ( xq = sziznziztdt0(xt) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).

tff(f_70,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).

tff(f_391,hypothesis,
    ( aScalar0(xP)
    & ( xP = sdtasdt0(xE,xH) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).

tff(f_76,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => aScalar0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).

tff(f_173,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W0) )
       => ( W0 = W1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).

tff(f_185,axiom,
    ! [W0,W1,W2] :
      ( ( aScalar0(W0)
        & aScalar0(W1)
        & aScalar0(W2) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W2) )
       => sdtlseqdt0(W0,W2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).

tff(f_403,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).

tff(f_223,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( sdtlseqdt0(W0,W1)
        | sdtlseqdt0(W1,W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).

tff(c_174,plain,
    aScalar0(xR),
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_182,plain,
    aScalar0(xS),
    inference(cnfTransformation,[status(thm)],[f_394]) ).

tff(c_2714,plain,
    ! [W0_136,W1_137] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(W0_136,W1_137))
      | ~ sdtlseqdt0(sz0z00,W1_137)
      | ~ sdtlseqdt0(sz0z00,W0_136)
      | ~ aScalar0(W1_137)
      | ~ aScalar0(W0_136) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_200,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(cnfTransformation,[status(thm)],[f_408]) ).

tff(c_203,plain,
    ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(splitLeft,[status(thm)],[c_200]) ).

tff(c_2719,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xR) ),
    inference(resolution,[status(thm)],[c_2714,c_203]) ).

tff(c_2845,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR) ),
    inference(demodulation,[status(thm),theory(equality)],[c_174,c_182,c_2719]) ).

tff(c_2939,plain,
    ~ sdtlseqdt0(sz0z00,xR),
    inference(splitLeft,[status(thm)],[c_2845]) ).

tff(c_150,plain,
    aScalar0(xC),
    inference(cnfTransformation,[status(thm)],[f_370]) ).

tff(c_166,plain,
    aScalar0(xG),
    inference(cnfTransformation,[status(thm)],[f_382]) ).

tff(c_130,plain,
    aVector0(xp),
    inference(cnfTransformation,[status(thm)],[f_351]) ).

tff(c_148,plain,
    sdtasasdt0(xp,xp) = xC,
    inference(cnfTransformation,[status(thm)],[f_370]) ).

tff(c_838,plain,
    ! [W0_96] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(W0_96,W0_96))
      | ~ aVector0(W0_96) ),
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_844,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | ~ aVector0(xp) ),
    inference(superposition,[status(thm),theory(equality)],[c_148,c_838]) ).

tff(c_848,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_844]) ).

tff(c_146,plain,
    aScalar0(xB),
    inference(cnfTransformation,[status(thm)],[f_367]) ).

tff(c_164,plain,
    sdtasdt0(xB,xB) = xG,
    inference(cnfTransformation,[status(thm)],[f_382]) ).

tff(c_773,plain,
    ! [W0_95] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(W0_95,W0_95))
      | ~ aScalar0(W0_95) ),
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_782,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xB) ),
    inference(superposition,[status(thm),theory(equality)],[c_164,c_773]) ).

tff(c_788,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_782]) ).

tff(c_172,plain,
    sdtasdt0(xC,xG) = xR,
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_2942,plain,
    ! [W0_138,W1_139] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(W0_138,W1_139))
      | ~ sdtlseqdt0(sz0z00,W1_139)
      | ~ sdtlseqdt0(sz0z00,W0_138)
      | ~ aScalar0(W1_139)
      | ~ aScalar0(W0_138) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_3067,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC) ),
    inference(superposition,[status(thm),theory(equality)],[c_172,c_2942]) ).

tff(c_3164,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(demodulation,[status(thm),theory(equality)],[c_150,c_166,c_848,c_788,c_3067]) ).

tff(c_3166,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2939,c_3164]) ).

tff(c_3167,plain,
    ~ sdtlseqdt0(sz0z00,xS),
    inference(splitRight,[status(thm)],[c_2845]) ).

tff(c_162,plain,
    aScalar0(xF),
    inference(cnfTransformation,[status(thm)],[f_379]) ).

tff(c_154,plain,
    aScalar0(xD),
    inference(cnfTransformation,[status(thm)],[f_373]) ).

tff(c_142,plain,
    aScalar0(xA),
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_160,plain,
    sdtasdt0(xA,xA) = xF,
    inference(cnfTransformation,[status(thm)],[f_379]) ).

tff(c_779,plain,
    ( sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xA) ),
    inference(superposition,[status(thm),theory(equality)],[c_160,c_773]) ).

tff(c_786,plain,
    sdtlseqdt0(sz0z00,xF),
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_779]) ).

tff(c_138,plain,
    aVector0(xq),
    inference(cnfTransformation,[status(thm)],[f_361]) ).

tff(c_152,plain,
    sdtasasdt0(xq,xq) = xD,
    inference(cnfTransformation,[status(thm)],[f_373]) ).

tff(c_841,plain,
    ( sdtlseqdt0(sz0z00,xD)
    | ~ aVector0(xq) ),
    inference(superposition,[status(thm),theory(equality)],[c_152,c_838]) ).

tff(c_846,plain,
    sdtlseqdt0(sz0z00,xD),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_841]) ).

tff(c_180,plain,
    sdtasdt0(xF,xD) = xS,
    inference(cnfTransformation,[status(thm)],[f_394]) ).

tff(c_3326,plain,
    ! [W0_142,W1_143] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(W0_142,W1_143))
      | ~ sdtlseqdt0(sz0z00,W1_143)
      | ~ sdtlseqdt0(sz0z00,W0_142)
      | ~ aScalar0(W1_143)
      | ~ aScalar0(W0_142) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_3493,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xD)
    | ~ aScalar0(xF) ),
    inference(superposition,[status(thm),theory(equality)],[c_180,c_3326]) ).

tff(c_3615,plain,
    sdtlseqdt0(sz0z00,xS),
    inference(demodulation,[status(thm),theory(equality)],[c_162,c_154,c_786,c_846,c_3493]) ).

tff(c_3617,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3167,c_3615]) ).

tff(c_3618,plain,
    ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
    inference(splitRight,[status(thm)],[c_200]) ).

tff(c_22,plain,
    aScalar0(sz0z00),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_178,plain,
    aScalar0(xP),
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_24,plain,
    ! [W0_11,W1_12] :
      ( aScalar0(sdtpldt0(W0_11,W1_12))
      | ~ aScalar0(W1_12)
      | ~ aScalar0(W0_11) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_3619,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(splitRight,[status(thm)],[c_200]) ).

tff(c_5098,plain,
    ! [W1_182,W0_183] :
      ( ( W1_182 = W0_183 )
      | ~ sdtlseqdt0(W1_182,W0_183)
      | ~ sdtlseqdt0(W0_183,W1_182)
      | ~ aScalar0(W1_182)
      | ~ aScalar0(W0_183) ),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_5126,plain,
    ( ( sdtpldt0(xR,xS) = sz0z00 )
    | ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(resolution,[status(thm)],[c_3619,c_5098]) ).

tff(c_5160,plain,
    ( ( sdtpldt0(xR,xS) = sz0z00 )
    | ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_5126]) ).

tff(c_5175,plain,
    ~ aScalar0(sdtpldt0(xR,xS)),
    inference(splitLeft,[status(thm)],[c_5160]) ).

tff(c_5190,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR) ),
    inference(resolution,[status(thm)],[c_24,c_5175]) ).

tff(c_5194,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_174,c_182,c_5190]) ).

tff(c_5196,plain,
    aScalar0(sdtpldt0(xR,xS)),
    inference(splitRight,[status(thm)],[c_5160]) ).

tff(c_7568,plain,
    ! [W0_207,W2_208,W1_209] :
      ( sdtlseqdt0(W0_207,W2_208)
      | ~ sdtlseqdt0(W1_209,W2_208)
      | ~ sdtlseqdt0(W0_207,W1_209)
      | ~ aScalar0(W2_208)
      | ~ aScalar0(W1_209)
      | ~ aScalar0(W0_207) ),
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_7598,plain,
    ! [W0_207] :
      ( sdtlseqdt0(W0_207,sdtpldt0(xR,xS))
      | ~ sdtlseqdt0(W0_207,sz0z00)
      | ~ aScalar0(sdtpldt0(xR,xS))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(W0_207) ),
    inference(resolution,[status(thm)],[c_3619,c_7568]) ).

tff(c_7703,plain,
    ! [W0_210] :
      ( sdtlseqdt0(W0_210,sdtpldt0(xR,xS))
      | ~ sdtlseqdt0(W0_210,sz0z00)
      | ~ aScalar0(W0_210) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_5196,c_7598]) ).

tff(c_196,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnfTransformation,[status(thm)],[f_403]) ).

tff(c_7717,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(resolution,[status(thm)],[c_7703,c_196]) ).

tff(c_8280,plain,
    ~ aScalar0(sdtpldt0(xP,xP)),
    inference(splitLeft,[status(thm)],[c_7717]) ).

tff(c_8283,plain,
    ~ aScalar0(xP),
    inference(resolution,[status(thm)],[c_24,c_8280]) ).

tff(c_8287,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_178,c_8283]) ).

tff(c_8289,plain,
    aScalar0(sdtpldt0(xP,xP)),
    inference(splitRight,[status(thm)],[c_7717]) ).

tff(c_78,plain,
    ! [W1_48,W0_47] :
      ( sdtlseqdt0(W1_48,W0_47)
      | sdtlseqdt0(W0_47,W1_48)
      | ~ aScalar0(W1_48)
      | ~ aScalar0(W0_47) ),
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_8288,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00),
    inference(splitRight,[status(thm)],[c_7717]) ).

tff(c_8335,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sz0z00) ),
    inference(resolution,[status(thm)],[c_78,c_8288]) ).

tff(c_8341,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_8289,c_8335]) ).

tff(c_8343,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3618,c_8341]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : RNG071+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.37  % Computer : n020.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Thu Aug  3 17:56:22 EDT 2023
% 0.17/0.37  % CPUTime  : 
% 11.00/3.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.00/3.74  
% 11.00/3.74  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.00/3.77  
% 11.00/3.77  Inference rules
% 11.00/3.77  ----------------------
% 11.00/3.77  #Ref     : 2
% 11.00/3.77  #Sup     : 2073
% 11.00/3.77  #Fact    : 4
% 11.00/3.77  #Define  : 0
% 11.00/3.77  #Split   : 25
% 11.00/3.77  #Chain   : 0
% 11.00/3.77  #Close   : 0
% 11.00/3.77  
% 11.00/3.77  Ordering : KBO
% 11.00/3.77  
% 11.00/3.77  Simplification rules
% 11.00/3.77  ----------------------
% 11.00/3.77  #Subsume      : 151
% 11.00/3.77  #Demod        : 1966
% 11.00/3.77  #Tautology    : 1108
% 11.00/3.77  #SimpNegUnit  : 137
% 11.00/3.77  #BackRed      : 108
% 11.00/3.77  
% 11.00/3.77  #Partial instantiations: 0
% 11.00/3.77  #Strategies tried      : 1
% 11.00/3.77  
% 11.00/3.77  Timing (in seconds)
% 11.00/3.77  ----------------------
% 11.00/3.77  Preprocessing        : 0.71
% 11.00/3.77  Parsing              : 0.37
% 11.00/3.77  CNF conversion       : 0.05
% 11.00/3.77  Main loop            : 1.90
% 11.00/3.77  Inferencing          : 0.59
% 11.00/3.77  Reduction            : 0.75
% 11.00/3.77  Demodulation         : 0.58
% 11.00/3.77  BG Simplification    : 0.07
% 11.00/3.77  Subsumption          : 0.36
% 11.00/3.77  Abstraction          : 0.05
% 11.00/3.77  MUC search           : 0.00
% 11.00/3.77  Cooper               : 0.00
% 11.00/3.77  Total                : 2.67
% 11.00/3.77  Index Insertion      : 0.00
% 11.00/3.77  Index Deletion       : 0.00
% 11.00/3.77  Index Matching       : 0.00
% 11.00/3.77  BG Taut test         : 0.00
%------------------------------------------------------------------------------