TSTP Solution File: RNG097+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG097+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 : n032.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 10:54:56 EDT 2023

% Result   : Theorem 28.47s 15.98s
% Output   : CNFRefutation 28.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  111 (  32 unt;  34 typ;   1 def)
%            Number of atoms       :  182 (  37 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  179 (  74   ~;  67   |;  19   &)
%                                         (   1 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   52 (  25   >;  27   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;   9 con; 0-4 aty)
%            Number of variables   :   62 (;  62   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aElementOf0 > aSet0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > xy > xx > xw > xb > xa > xJ > xI > sz10 > sz00 > #skF_6 > #skF_4 > #skF_8 > #skF_15 > #skF_5 > #skF_7 > #skF_9 > #skF_13 > #skF_11 > #skF_3 > #skF_14 > #skF_2 > #skF_12 > #skF_1 > #skF_10

%Foreground sorts:

%Background operators:

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

tff(aSet0,type,
    aSet0: $i > $o ).

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

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i ) > $i ).

tff(sz10,type,
    sz10: $i ).

tff(sdtpldt1,type,
    sdtpldt1: ( $i * $i ) > $i ).

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

tff(aElement0,type,
    aElement0: $i > $o ).

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

tff('#skF_4',type,
    '#skF_4': ( $i * $i * $i ) > $i ).

tff(aIdeal0,type,
    aIdeal0: $i > $o ).

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

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_15',type,
    '#skF_15': $i > $i ).

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

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

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

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i * $i ) > $i ).

tff(aElementOf0,type,
    aElementOf0: ( $i * $i ) > $o ).

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

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

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

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

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

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff(sdteqdtlpzmzozddtrp0,type,
    sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).

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

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i ) > $i ).

tff(f_260,hypothesis,
    ( aSet0(xI)
    & ! [W0] :
        ( aElementOf0(W0,xI)
       => ( ! [W1] :
              ( aElementOf0(W1,xI)
             => aElementOf0(sdtpldt0(W0,W1),xI) )
          & ! [W1] :
              ( aElement0(W1)
             => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
    & aIdeal0(xI)
    & aSet0(xJ)
    & ! [W0] :
        ( aElementOf0(W0,xJ)
       => ( ! [W1] :
              ( aElementOf0(W1,xJ)
             => aElementOf0(sdtpldt0(W0,W1),xJ) )
          & ! [W1] :
              ( aElement0(W1)
             => aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
    & aIdeal0(xJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).

tff(f_279,hypothesis,
    ( aElementOf0(xa,xI)
    & aElementOf0(xb,xJ)
    & ( sdtpldt0(xa,xb) = sz10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).

tff(f_137,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aElementOf0(W1,W0)
         => aElement0(W1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

tff(f_109,axiom,
    ! [W0] :
      ( aElement0(W0)
     => ( ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
        & ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).

tff(f_31,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

tff(f_35,axiom,
    ! [W0] :
      ( aElement0(W0)
     => aElement0(smndt0(W0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).

tff(f_79,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

tff(f_205,definition,
    ! [W0] :
      ( aIdeal0(W0)
    <=> ( aSet0(W0)
        & ! [W1] :
            ( aElementOf0(W1,W0)
           => ( ! [W2] :
                  ( aElementOf0(W2,W0)
                 => aElementOf0(sdtpldt0(W1,W2),W0) )
              & ! [W2] :
                  ( aElement0(W2)
                 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).

tff(f_67,axiom,
    ! [W0] :
      ( aElement0(W0)
     => ( ( sdtpldt0(W0,sz00) = W0 )
        & ( W0 = sdtpldt0(sz00,W0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).

tff(f_53,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

tff(f_73,axiom,
    ! [W0] :
      ( aElement0(W0)
     => ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
        & ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).

tff(f_61,axiom,
    ! [W0,W1,W2] :
      ( ( aElement0(W0)
        & aElement0(W1)
        & aElement0(W2) )
     => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

tff(f_274,hypothesis,
    ( aElement0(xx)
    & aElement0(xy) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).

tff(f_283,negated_conjecture,
    ~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

tff(c_138,plain,
    aSet0(xI),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_164,plain,
    aElementOf0(xa,xI),
    inference(cnfTransformation,[status(thm)],[f_279]) ).

tff(c_387,plain,
    ! [W1_166,W0_167] :
      ( aElement0(W1_166)
      | ~ aElementOf0(W1_166,W0_167)
      | ~ aSet0(W0_167) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_399,plain,
    ( aElement0(xa)
    | ~ aSet0(xI) ),
    inference(resolution,[status(thm)],[c_164,c_387]) ).

tff(c_412,plain,
    aElement0(xa),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_399]) ).

tff(c_40,plain,
    ! [W0_23] :
      ( ( sdtasdt0(smndt0(sz10),W0_23) = smndt0(W0_23) )
      | ~ aElement0(W0_23) ),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_6,plain,
    aElement0(sz10),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_8,plain,
    ! [W0_2] :
      ( aElement0(smndt0(W0_2))
      | ~ aElement0(W0_2) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_1087,plain,
    ! [W1_197,W0_198] :
      ( aElementOf0(sdtasdt0(W1_197,W0_198),xJ)
      | ~ aElement0(W1_197)
      | ~ aElementOf0(W0_198,xJ) ),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_1099,plain,
    ! [W0_23] :
      ( aElementOf0(smndt0(W0_23),xJ)
      | ~ aElement0(smndt0(sz10))
      | ~ aElementOf0(W0_23,xJ)
      | ~ aElement0(W0_23) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_1087]) ).

tff(c_28787,plain,
    ~ aElement0(smndt0(sz10)),
    inference(splitLeft,[status(thm)],[c_1099]) ).

tff(c_28790,plain,
    ~ aElement0(sz10),
    inference(resolution,[status(thm)],[c_8,c_28787]) ).

tff(c_28794,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_28790]) ).

tff(c_28796,plain,
    aElement0(smndt0(sz10)),
    inference(splitRight,[status(thm)],[c_1099]) ).

tff(c_1388,plain,
    ! [W1_201,W0_202] :
      ( ( sdtasdt0(W1_201,W0_202) = sdtasdt0(W0_202,W1_201) )
      | ~ aElement0(W1_201)
      | ~ aElement0(W0_202) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_1419,plain,
    ! [W0_202] :
      ( ( sdtasdt0(xa,W0_202) = sdtasdt0(W0_202,xa) )
      | ~ aElement0(W0_202) ),
    inference(resolution,[status(thm)],[c_412,c_1388]) ).

tff(c_28866,plain,
    sdtasdt0(smndt0(sz10),xa) = sdtasdt0(xa,smndt0(sz10)),
    inference(resolution,[status(thm)],[c_28796,c_1419]) ).

tff(c_40999,plain,
    ( ( sdtasdt0(xa,smndt0(sz10)) = smndt0(xa) )
    | ~ aElement0(xa) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_28866]) ).

tff(c_41053,plain,
    sdtasdt0(xa,smndt0(sz10)) = smndt0(xa),
    inference(demodulation,[status(thm),theory(equality)],[c_412,c_40999]) ).

tff(c_144,plain,
    ! [W1_151,W0_147] :
      ( aElementOf0(sdtasdt0(W1_151,W0_147),xI)
      | ~ aElement0(W1_151)
      | ~ aElementOf0(W0_147,xI) ),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_40983,plain,
    ( aElementOf0(sdtasdt0(xa,smndt0(sz10)),xI)
    | ~ aElement0(smndt0(sz10))
    | ~ aElementOf0(xa,xI) ),
    inference(superposition,[status(thm),theory(equality)],[c_28866,c_144]) ).

tff(c_41041,plain,
    aElementOf0(sdtasdt0(xa,smndt0(sz10)),xI),
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_28796,c_40983]) ).

tff(c_41385,plain,
    aElementOf0(smndt0(xa),xI),
    inference(demodulation,[status(thm),theory(equality)],[c_41053,c_41041]) ).

tff(c_136,plain,
    aIdeal0(xI),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_2425,plain,
    ! [W2_222,W1_223,W0_224] :
      ( aElementOf0(sdtasdt0(W2_222,W1_223),W0_224)
      | ~ aElement0(W2_222)
      | ~ aElementOf0(W1_223,W0_224)
      | ~ aIdeal0(W0_224) ),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_52,plain,
    ! [W1_30,W0_28] :
      ( aElement0(W1_30)
      | ~ aElementOf0(W1_30,W0_28)
      | ~ aSet0(W0_28) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_34842,plain,
    ! [W2_393,W1_394,W0_395] :
      ( aElement0(sdtasdt0(W2_393,W1_394))
      | ~ aSet0(W0_395)
      | ~ aElement0(W2_393)
      | ~ aElementOf0(W1_394,W0_395)
      | ~ aIdeal0(W0_395) ),
    inference(resolution,[status(thm)],[c_2425,c_52]) ).

tff(c_34934,plain,
    ! [W2_393] :
      ( aElement0(sdtasdt0(W2_393,xa))
      | ~ aSet0(xI)
      | ~ aElement0(W2_393)
      | ~ aIdeal0(xI) ),
    inference(resolution,[status(thm)],[c_164,c_34842]) ).

tff(c_35026,plain,
    ! [W2_396] :
      ( aElement0(sdtasdt0(W2_396,xa))
      | ~ aElement0(W2_396) ),
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_138,c_34934]) ).

tff(c_35117,plain,
    ( aElement0(smndt0(xa))
    | ~ aElement0(smndt0(sz10))
    | ~ aElement0(xa) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_35026]) ).

tff(c_35161,plain,
    aElement0(smndt0(xa)),
    inference(demodulation,[status(thm),theory(equality)],[c_412,c_28796,c_35117]) ).

tff(c_18,plain,
    ! [W0_12] :
      ( ( sdtpldt0(sz00,W0_12) = W0_12 )
      | ~ aElement0(W0_12) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_35247,plain,
    sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
    inference(resolution,[status(thm)],[c_35161,c_18]) ).

tff(c_134,plain,
    aSet0(xJ),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_162,plain,
    aElementOf0(xb,xJ),
    inference(cnfTransformation,[status(thm)],[f_279]) ).

tff(c_402,plain,
    ( aElement0(xb)
    | ~ aSet0(xJ) ),
    inference(resolution,[status(thm)],[c_162,c_387]) ).

tff(c_415,plain,
    aElement0(xb),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_402]) ).

tff(c_1428,plain,
    ! [W1_203,W0_204] :
      ( ( sdtpldt0(W1_203,W0_204) = sdtpldt0(W0_204,W1_203) )
      | ~ aElement0(W1_203)
      | ~ aElement0(W0_204) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_1458,plain,
    ! [W0_204] :
      ( ( sdtpldt0(xb,W0_204) = sdtpldt0(W0_204,xb) )
      | ~ aElement0(W0_204) ),
    inference(resolution,[status(thm)],[c_415,c_1428]) ).

tff(c_28864,plain,
    sdtpldt0(smndt0(sz10),xb) = sdtpldt0(xb,smndt0(sz10)),
    inference(resolution,[status(thm)],[c_28796,c_1458]) ).

tff(c_468,plain,
    sdtpldt0(sz00,xb) = xb,
    inference(resolution,[status(thm)],[c_415,c_18]) ).

tff(c_35233,plain,
    sdtpldt0(smndt0(xa),xb) = sdtpldt0(xb,smndt0(xa)),
    inference(resolution,[status(thm)],[c_35161,c_1458]) ).

tff(c_24,plain,
    ! [W0_13] :
      ( ( sdtpldt0(W0_13,smndt0(W0_13)) = sz00 )
      | ~ aElement0(W0_13) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_3989,plain,
    ! [W0_242,W1_243,W2_244] :
      ( ( sdtpldt0(sdtpldt0(W0_242,W1_243),W2_244) = sdtpldt0(W0_242,sdtpldt0(W1_243,W2_244)) )
      | ~ aElement0(W2_244)
      | ~ aElement0(W1_243)
      | ~ aElement0(W0_242) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_64170,plain,
    ! [W0_488,W2_489] :
      ( ( sdtpldt0(W0_488,sdtpldt0(smndt0(W0_488),W2_489)) = sdtpldt0(sz00,W2_489) )
      | ~ aElement0(W2_489)
      | ~ aElement0(smndt0(W0_488))
      | ~ aElement0(W0_488)
      | ~ aElement0(W0_488) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_3989]) ).

tff(c_64285,plain,
    ( ( sdtpldt0(xa,sdtpldt0(xb,smndt0(xa))) = sdtpldt0(sz00,xb) )
    | ~ aElement0(xb)
    | ~ aElement0(smndt0(xa))
    | ~ aElement0(xa)
    | ~ aElement0(xa) ),
    inference(superposition,[status(thm),theory(equality)],[c_35233,c_64170]) ).

tff(c_64381,plain,
    sdtpldt0(xa,sdtpldt0(xb,smndt0(xa))) = xb,
    inference(demodulation,[status(thm),theory(equality)],[c_412,c_412,c_35161,c_415,c_468,c_64285]) ).

tff(c_160,plain,
    sdtpldt0(xa,xb) = sz10,
    inference(cnfTransformation,[status(thm)],[f_279]) ).

tff(c_4090,plain,
    ! [W2_244] :
      ( ( sdtpldt0(xa,sdtpldt0(xb,W2_244)) = sdtpldt0(sz10,W2_244) )
      | ~ aElement0(W2_244)
      | ~ aElement0(xb)
      | ~ aElement0(xa) ),
    inference(superposition,[status(thm),theory(equality)],[c_160,c_3989]) ).

tff(c_4132,plain,
    ! [W2_244] :
      ( ( sdtpldt0(xa,sdtpldt0(xb,W2_244)) = sdtpldt0(sz10,W2_244) )
      | ~ aElement0(W2_244) ),
    inference(demodulation,[status(thm),theory(equality)],[c_412,c_415,c_4090]) ).

tff(c_65792,plain,
    ( ( sdtpldt0(sz10,smndt0(xa)) = xb )
    | ~ aElement0(smndt0(xa)) ),
    inference(superposition,[status(thm),theory(equality)],[c_64381,c_4132]) ).

tff(c_65847,plain,
    sdtpldt0(sz10,smndt0(xa)) = xb,
    inference(demodulation,[status(thm),theory(equality)],[c_35161,c_65792]) ).

tff(c_22,plain,
    ! [W0_13] :
      ( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
      | ~ aElement0(W0_13) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_66238,plain,
    ! [W0_496,W2_497] :
      ( ( sdtpldt0(smndt0(W0_496),sdtpldt0(W0_496,W2_497)) = sdtpldt0(sz00,W2_497) )
      | ~ aElement0(W2_497)
      | ~ aElement0(W0_496)
      | ~ aElement0(smndt0(W0_496))
      | ~ aElement0(W0_496) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_3989]) ).

tff(c_66319,plain,
    ( ( sdtpldt0(smndt0(sz10),xb) = sdtpldt0(sz00,smndt0(xa)) )
    | ~ aElement0(smndt0(xa))
    | ~ aElement0(sz10)
    | ~ aElement0(smndt0(sz10))
    | ~ aElement0(sz10) ),
    inference(superposition,[status(thm),theory(equality)],[c_65847,c_66238]) ).

tff(c_66757,plain,
    sdtpldt0(xb,smndt0(sz10)) = smndt0(xa),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_28796,c_6,c_35161,c_35247,c_28864,c_66319]) ).

tff(c_158,plain,
    aElement0(xx),
    inference(cnfTransformation,[status(thm)],[f_274]) ).

tff(c_1234,plain,
    ! [W1_199,W0_200] :
      ( aElementOf0(sdtasdt0(W1_199,W0_200),xI)
      | ~ aElement0(W1_199)
      | ~ aElementOf0(W0_200,xI) ),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_170,plain,
    ~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_1240,plain,
    ( ~ aElement0(xx)
    | ~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI) ),
    inference(resolution,[status(thm)],[c_1234,c_170]) ).

tff(c_1333,plain,
    ~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI),
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_1240]) ).

tff(c_69554,plain,
    ~ aElementOf0(smndt0(xa),xI),
    inference(demodulation,[status(thm),theory(equality)],[c_66757,c_1333]) ).

tff(c_69562,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_41385,c_69554]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : RNG097+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % 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
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Thu Aug  3 17:57:21 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 28.47/15.98  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.47/15.99  
% 28.47/15.99  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.47/16.03  
% 28.47/16.03  Inference rules
% 28.47/16.03  ----------------------
% 28.47/16.03  #Ref     : 0
% 28.47/16.03  #Sup     : 15279
% 28.47/16.03  #Fact    : 0
% 28.47/16.03  #Define  : 0
% 28.47/16.03  #Split   : 32
% 28.47/16.03  #Chain   : 0
% 28.47/16.03  #Close   : 0
% 28.47/16.03  
% 28.47/16.03  Ordering : KBO
% 28.47/16.03  
% 28.47/16.03  Simplification rules
% 28.47/16.03  ----------------------
% 28.47/16.03  #Subsume      : 1951
% 28.47/16.03  #Demod        : 26308
% 28.47/16.03  #Tautology    : 6372
% 28.47/16.03  #SimpNegUnit  : 160
% 28.47/16.03  #BackRed      : 83
% 28.47/16.03  
% 28.47/16.03  #Partial instantiations: 0
% 28.47/16.03  #Strategies tried      : 1
% 28.47/16.03  
% 28.47/16.03  Timing (in seconds)
% 28.47/16.03  ----------------------
% 28.47/16.03  Preprocessing        : 0.66
% 28.47/16.03  Parsing              : 0.32
% 28.47/16.03  CNF conversion       : 0.06
% 28.47/16.03  Main loop            : 14.45
% 28.47/16.03  Inferencing          : 1.93
% 28.47/16.03  Reduction            : 9.17
% 28.47/16.03  Demodulation         : 8.22
% 28.47/16.03  BG Simplification    : 0.14
% 28.47/16.03  Subsumption          : 2.70
% 28.47/16.03  Abstraction          : 0.22
% 28.47/16.03  MUC search           : 0.00
% 28.47/16.03  Cooper               : 0.00
% 28.47/16.03  Total                : 15.17
% 28.47/16.03  Index Insertion      : 0.00
% 28.47/16.03  Index Deletion       : 0.00
% 28.47/16.03  Index Matching       : 0.00
% 28.47/16.03  BG Taut test         : 0.00
%------------------------------------------------------------------------------