TSTP Solution File: COM021+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : COM021+1 : 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 : n003.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 10:35:20 EDT 2023

% Result   : Theorem 28.12s 14.11s
% Output   : CNFRefutation 28.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   93 (  22 unt;  33 typ;   4 def)
%            Number of atoms       :  205 (  12 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  252 ( 107   ~; 112   |;  21   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   46 (  24   >;  22   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;   9 con; 0-4 aty)
%            Number of variables   :   72 (;  70   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtmndtplgtdt0 > sdtmndtasgtdt0 > aReductOfIn0 > aNormalFormOfIn0 > iLess0 > isTerminating0 > isLocallyConfluent0 > isConfluent0 > aRewritingSystem0 > aElement0 > #nlpp > xx > xw > xv > xu > xd > xc > xb > xa > xR > #skF_9 > #skF_7 > #skF_5 > #skF_1 > #skF_4 > #skF_12 > #skF_8 > #skF_13 > #skF_10 > #skF_2 > #skF_6 > #skF_14 > #skF_3 > #skF_11

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_9',type,
    '#skF_9': $i > $i ).

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

tff(sdtmndtplgtdt0,type,
    sdtmndtplgtdt0: ( $i * $i * $i ) > $o ).

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

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

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

tff(aReductOfIn0,type,
    aReductOfIn0: ( $i * $i * $i ) > $o ).

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

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

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

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

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

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

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

tff(isTerminating0,type,
    isTerminating0: $i > $o ).

tff(aNormalFormOfIn0,type,
    aNormalFormOfIn0: ( $i * $i * $i ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

tff(aRewritingSystem0,type,
    aRewritingSystem0: $i > $o ).

tff(isConfluent0,type,
    isConfluent0: $i > $o ).

tff(isLocallyConfluent0,type,
    isLocallyConfluent0: $i > $o ).

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

tff(sdtmndtasgtdt0,type,
    sdtmndtasgtdt0: ( $i * $i * $i ) > $o ).

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

tff(f_233,hypothesis,
    ( aElement0(xu)
    & aReductOfIn0(xu,xa,xR)
    & sdtmndtasgtdt0(xu,xR,xb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).

tff(f_244,hypothesis,
    aNormalFormOfIn0(xd,xw,xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

tff(f_243,hypothesis,
    ( aElement0(xw)
    & sdtmndtasgtdt0(xu,xR,xw)
    & sdtmndtasgtdt0(xv,xR,xw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

tff(f_198,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

tff(f_187,definition,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aRewritingSystem0(W1) )
     => ! [W2] :
          ( aNormalFormOfIn0(W2,W0,W1)
        <=> ( aElement0(W2)
            & sdtmndtasgtdt0(W0,W1,W2)
            & ~ ? [W3] : aReductOfIn0(W3,W2,W1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).

tff(f_115,axiom,
    ! [W0,W1,W2,W3] :
      ( ( aElement0(W0)
        & aRewritingSystem0(W1)
        & aElement0(W2)
        & aElement0(W3) )
     => ( ( sdtmndtasgtdt0(W0,W1,W2)
          & sdtmndtasgtdt0(W2,W1,W3) )
       => sdtmndtasgtdt0(W0,W1,W3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).

tff(f_251,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

tff(f_249,hypothesis,
    ( aElement0(xx)
    & sdtmndtasgtdt0(xb,xR,xx)
    & sdtmndtasgtdt0(xd,xR,xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).

tff(f_201,hypothesis,
    ( isLocallyConfluent0(xR)
    & isTerminating0(xR) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).

tff(f_101,definition,
    ! [W0,W1,W2] :
      ( ( aElement0(W0)
        & aRewritingSystem0(W1)
        & aElement0(W2) )
     => ( sdtmndtasgtdt0(W0,W1,W2)
      <=> ( ( W0 = W2 )
          | sdtmndtplgtdt0(W0,W1,W2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).

tff(f_172,definition,
    ! [W0] :
      ( aRewritingSystem0(W0)
     => ( isTerminating0(W0)
      <=> ! [W1,W2] :
            ( ( aElement0(W1)
              & aElement0(W2) )
           => ( sdtmndtplgtdt0(W1,W0,W2)
             => iLess0(W2,W1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermin) ).

tff(f_75,definition,
    ! [W0,W1,W2] :
      ( ( aElement0(W0)
        & aRewritingSystem0(W1)
        & aElement0(W2) )
     => ( sdtmndtplgtdt0(W0,W1,W2)
      <=> ( aReductOfIn0(W2,W0,W1)
          | ? [W3] :
              ( aElement0(W3)
              & aReductOfIn0(W3,W0,W1)
              & sdtmndtplgtdt0(W3,W1,W2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).

tff(c_114,plain,
    aElement0(xu),
    inference(cnfTransformation,[status(thm)],[f_233]) ).

tff(c_128,plain,
    aNormalFormOfIn0(xd,xw,xR),
    inference(cnfTransformation,[status(thm)],[f_244]) ).

tff(c_126,plain,
    aElement0(xw),
    inference(cnfTransformation,[status(thm)],[f_243]) ).

tff(c_88,plain,
    aRewritingSystem0(xR),
    inference(cnfTransformation,[status(thm)],[f_198]) ).

tff(c_171,plain,
    ! [W2_108,W0_109,W1_110] :
      ( aElement0(W2_108)
      | ~ aNormalFormOfIn0(W2_108,W0_109,W1_110)
      | ~ aRewritingSystem0(W1_110)
      | ~ aElement0(W0_109) ),
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_174,plain,
    ( aElement0(xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw) ),
    inference(resolution,[status(thm)],[c_128,c_171]) ).

tff(c_177,plain,
    aElement0(xd),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_88,c_174]) ).

tff(c_124,plain,
    sdtmndtasgtdt0(xu,xR,xw),
    inference(cnfTransformation,[status(thm)],[f_243]) ).

tff(c_82,plain,
    ! [W0_70,W1_71,W2_77] :
      ( sdtmndtasgtdt0(W0_70,W1_71,W2_77)
      | ~ aNormalFormOfIn0(W2_77,W0_70,W1_71)
      | ~ aRewritingSystem0(W1_71)
      | ~ aElement0(W0_70) ),
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_436,plain,
    ! [W0_165,W1_166,W3_167,W2_168] :
      ( sdtmndtasgtdt0(W0_165,W1_166,W3_167)
      | ~ sdtmndtasgtdt0(W2_168,W1_166,W3_167)
      | ~ sdtmndtasgtdt0(W0_165,W1_166,W2_168)
      | ~ aElement0(W3_167)
      | ~ aElement0(W2_168)
      | ~ aRewritingSystem0(W1_166)
      | ~ aElement0(W0_165) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_91308,plain,
    ! [W0_2518,W1_2519,W2_2520,W0_2521] :
      ( sdtmndtasgtdt0(W0_2518,W1_2519,W2_2520)
      | ~ sdtmndtasgtdt0(W0_2518,W1_2519,W0_2521)
      | ~ aElement0(W2_2520)
      | ~ aElement0(W0_2518)
      | ~ aNormalFormOfIn0(W2_2520,W0_2521,W1_2519)
      | ~ aRewritingSystem0(W1_2519)
      | ~ aElement0(W0_2521) ),
    inference(resolution,[status(thm)],[c_82,c_436]) ).

tff(c_91380,plain,
    ! [W2_2520] :
      ( sdtmndtasgtdt0(xu,xR,W2_2520)
      | ~ aElement0(W2_2520)
      | ~ aElement0(xu)
      | ~ aNormalFormOfIn0(W2_2520,xw,xR)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xw) ),
    inference(resolution,[status(thm)],[c_124,c_91308]) ).

tff(c_102124,plain,
    ! [W2_2781] :
      ( sdtmndtasgtdt0(xu,xR,W2_2781)
      | ~ aElement0(W2_2781)
      | ~ aNormalFormOfIn0(W2_2781,xw,xR) ),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_88,c_114,c_91380]) ).

tff(c_765,plain,
    ! [W2_187,W0_188,W1_189] :
      ( aNormalFormOfIn0(W2_187,W0_188,W1_189)
      | aReductOfIn0('#skF_12'(W0_188,W1_189,W2_187),W2_187,W1_189)
      | ~ sdtmndtasgtdt0(W0_188,W1_189,W2_187)
      | ~ aElement0(W2_187)
      | ~ aRewritingSystem0(W1_189)
      | ~ aElement0(W0_188) ),
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_80,plain,
    ! [W3_80,W2_77,W1_71,W0_70] :
      ( ~ aReductOfIn0(W3_80,W2_77,W1_71)
      | ~ aNormalFormOfIn0(W2_77,W0_70,W1_71)
      | ~ aRewritingSystem0(W1_71)
      | ~ aElement0(W0_70) ),
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_79127,plain,
    ! [W2_2227,W0_2228,W1_2229,W0_2230] :
      ( ~ aNormalFormOfIn0(W2_2227,W0_2228,W1_2229)
      | ~ aElement0(W0_2228)
      | aNormalFormOfIn0(W2_2227,W0_2230,W1_2229)
      | ~ sdtmndtasgtdt0(W0_2230,W1_2229,W2_2227)
      | ~ aElement0(W2_2227)
      | ~ aRewritingSystem0(W1_2229)
      | ~ aElement0(W0_2230) ),
    inference(resolution,[status(thm)],[c_765,c_80]) ).

tff(c_79131,plain,
    ! [W0_2230] :
      ( ~ aElement0(xw)
      | aNormalFormOfIn0(xd,W0_2230,xR)
      | ~ sdtmndtasgtdt0(W0_2230,xR,xd)
      | ~ aElement0(xd)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(W0_2230) ),
    inference(resolution,[status(thm)],[c_128,c_79127]) ).

tff(c_79135,plain,
    ! [W0_2230] :
      ( aNormalFormOfIn0(xd,W0_2230,xR)
      | ~ sdtmndtasgtdt0(W0_2230,xR,xd)
      | ~ aElement0(W0_2230) ),
    inference(demodulation,[status(thm),theory(equality)],[c_88,c_177,c_126,c_79131]) ).

tff(c_102130,plain,
    ( aNormalFormOfIn0(xd,xu,xR)
    | ~ aElement0(xu)
    | ~ aElement0(xd)
    | ~ aNormalFormOfIn0(xd,xw,xR) ),
    inference(resolution,[status(thm)],[c_102124,c_79135]) ).

tff(c_102155,plain,
    aNormalFormOfIn0(xd,xu,xR),
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_177,c_114,c_102130]) ).

tff(c_136,plain,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_134,plain,
    aElement0(xx),
    inference(cnfTransformation,[status(thm)],[f_249]) ).

tff(c_90,plain,
    isTerminating0(xR),
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_130,plain,
    sdtmndtasgtdt0(xd,xR,xx),
    inference(cnfTransformation,[status(thm)],[f_249]) ).

tff(c_283,plain,
    ! [W0_142,W1_143,W2_144] :
      ( sdtmndtplgtdt0(W0_142,W1_143,W2_144)
      | ( W2_144 = W0_142 )
      | ~ sdtmndtasgtdt0(W0_142,W1_143,W2_144)
      | ~ aElement0(W2_144)
      | ~ aRewritingSystem0(W1_143)
      | ~ aElement0(W0_142) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_68,plain,
    ! [W2_69,W1_68,W0_63] :
      ( iLess0(W2_69,W1_68)
      | ~ sdtmndtplgtdt0(W1_68,W0_63,W2_69)
      | ~ aElement0(W2_69)
      | ~ aElement0(W1_68)
      | ~ isTerminating0(W0_63)
      | ~ aRewritingSystem0(W0_63) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_1436,plain,
    ! [W2_240,W0_241,W1_242] :
      ( iLess0(W2_240,W0_241)
      | ~ isTerminating0(W1_242)
      | ( W2_240 = W0_241 )
      | ~ sdtmndtasgtdt0(W0_241,W1_242,W2_240)
      | ~ aElement0(W2_240)
      | ~ aRewritingSystem0(W1_242)
      | ~ aElement0(W0_241) ),
    inference(resolution,[status(thm)],[c_283,c_68]) ).

tff(c_1529,plain,
    ( iLess0(xx,xd)
    | ~ isTerminating0(xR)
    | ( xx = xd )
    | ~ aElement0(xx)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xd) ),
    inference(resolution,[status(thm)],[c_130,c_1436]) ).

tff(c_1606,plain,
    ( iLess0(xx,xd)
    | ( xx = xd ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_177,c_88,c_134,c_90,c_1529]) ).

tff(c_72227,plain,
    xx = xd,
    inference(splitLeft,[status(thm)],[c_1606]) ).

tff(c_132,plain,
    sdtmndtasgtdt0(xb,xR,xx),
    inference(cnfTransformation,[status(thm)],[f_249]) ).

tff(c_72233,plain,
    sdtmndtasgtdt0(xb,xR,xd),
    inference(demodulation,[status(thm),theory(equality)],[c_72227,c_132]) ).

tff(c_72237,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_136,c_72233]) ).

tff(c_72239,plain,
    xx != xd,
    inference(splitRight,[status(thm)],[c_1606]) ).

tff(c_24,plain,
    ! [W0_22,W1_23,W2_24] :
      ( sdtmndtplgtdt0(W0_22,W1_23,W2_24)
      | ( W2_24 = W0_22 )
      | ~ sdtmndtasgtdt0(W0_22,W1_23,W2_24)
      | ~ aElement0(W2_24)
      | ~ aRewritingSystem0(W1_23)
      | ~ aElement0(W0_22) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_879,plain,
    ! [W0_195,W1_196,W2_197] :
      ( aReductOfIn0('#skF_1'(W0_195,W1_196,W2_197),W0_195,W1_196)
      | aReductOfIn0(W2_197,W0_195,W1_196)
      | ~ sdtmndtplgtdt0(W0_195,W1_196,W2_197)
      | ~ aElement0(W2_197)
      | ~ aRewritingSystem0(W1_196)
      | ~ aElement0(W0_195) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_78145,plain,
    ! [W0_2188,W0_2189,W1_2190,W2_2191] :
      ( ~ aNormalFormOfIn0(W0_2188,W0_2189,W1_2190)
      | ~ aElement0(W0_2189)
      | aReductOfIn0(W2_2191,W0_2188,W1_2190)
      | ~ sdtmndtplgtdt0(W0_2188,W1_2190,W2_2191)
      | ~ aElement0(W2_2191)
      | ~ aRewritingSystem0(W1_2190)
      | ~ aElement0(W0_2188) ),
    inference(resolution,[status(thm)],[c_879,c_80]) ).

tff(c_78149,plain,
    ! [W2_2191] :
      ( ~ aElement0(xw)
      | aReductOfIn0(W2_2191,xd,xR)
      | ~ sdtmndtplgtdt0(xd,xR,W2_2191)
      | ~ aElement0(W2_2191)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xd) ),
    inference(resolution,[status(thm)],[c_128,c_78145]) ).

tff(c_78876,plain,
    ! [W2_2218] :
      ( aReductOfIn0(W2_2218,xd,xR)
      | ~ sdtmndtplgtdt0(xd,xR,W2_2218)
      | ~ aElement0(W2_2218) ),
    inference(demodulation,[status(thm),theory(equality)],[c_177,c_88,c_126,c_78149]) ).

tff(c_78896,plain,
    ! [W2_24] :
      ( aReductOfIn0(W2_24,xd,xR)
      | ( xd = W2_24 )
      | ~ sdtmndtasgtdt0(xd,xR,W2_24)
      | ~ aElement0(W2_24)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xd) ),
    inference(resolution,[status(thm)],[c_24,c_78876]) ).

tff(c_113221,plain,
    ! [W2_3020] :
      ( aReductOfIn0(W2_3020,xd,xR)
      | ( xd = W2_3020 )
      | ~ sdtmndtasgtdt0(xd,xR,W2_3020)
      | ~ aElement0(W2_3020) ),
    inference(demodulation,[status(thm),theory(equality)],[c_177,c_88,c_78896]) ).

tff(c_113394,plain,
    ( aReductOfIn0(xx,xd,xR)
    | ( xx = xd )
    | ~ aElement0(xx) ),
    inference(resolution,[status(thm)],[c_130,c_113221]) ).

tff(c_113540,plain,
    ( aReductOfIn0(xx,xd,xR)
    | ( xx = xd ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_113394]) ).

tff(c_113541,plain,
    aReductOfIn0(xx,xd,xR),
    inference(negUnitSimplification,[status(thm)],[c_72239,c_113540]) ).

tff(c_113557,plain,
    ! [W0_70] :
      ( ~ aNormalFormOfIn0(xd,W0_70,xR)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(W0_70) ),
    inference(resolution,[status(thm)],[c_113541,c_80]) ).

tff(c_114042,plain,
    ! [W0_3023] :
      ( ~ aNormalFormOfIn0(xd,W0_3023,xR)
      | ~ aElement0(W0_3023) ),
    inference(demodulation,[status(thm),theory(equality)],[c_88,c_113557]) ).

tff(c_114048,plain,
    ~ aElement0(xu),
    inference(resolution,[status(thm)],[c_102155,c_114042]) ).

tff(c_114065,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_114,c_114048]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : COM021+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % 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
% 0.13/0.32  % Computer : n003.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Thu Aug  3 23:36:38 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 28.12/14.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.12/14.12  
% 28.12/14.12  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.27/14.15  
% 28.27/14.15  Inference rules
% 28.27/14.15  ----------------------
% 28.27/14.15  #Ref     : 0
% 28.27/14.15  #Sup     : 18010
% 28.27/14.15  #Fact    : 0
% 28.27/14.15  #Define  : 0
% 28.27/14.15  #Split   : 216
% 28.27/14.15  #Chain   : 0
% 28.27/14.15  #Close   : 0
% 28.27/14.15  
% 28.27/14.15  Ordering : KBO
% 28.27/14.15  
% 28.27/14.15  Simplification rules
% 28.27/14.15  ----------------------
% 28.27/14.15  #Subsume      : 6152
% 28.27/14.15  #Demod        : 37533
% 28.27/14.15  #Tautology    : 4589
% 28.27/14.15  #SimpNegUnit  : 2430
% 28.27/14.15  #BackRed      : 1397
% 28.27/14.15  
% 28.27/14.15  #Partial instantiations: 0
% 28.27/14.15  #Strategies tried      : 1
% 28.27/14.15  
% 28.27/14.15  Timing (in seconds)
% 28.27/14.15  ----------------------
% 28.27/14.16  Preprocessing        : 0.59
% 28.27/14.16  Parsing              : 0.30
% 28.27/14.16  CNF conversion       : 0.05
% 28.27/14.16  Main loop            : 12.48
% 28.27/14.16  Inferencing          : 3.56
% 28.27/14.16  Reduction            : 5.24
% 28.27/14.16  Demodulation         : 3.74
% 28.27/14.16  BG Simplification    : 0.17
% 28.27/14.16  Subsumption          : 2.82
% 28.27/14.16  Abstraction          : 0.26
% 28.27/14.16  MUC search           : 0.00
% 28.27/14.16  Cooper               : 0.00
% 28.27/14.16  Total                : 13.12
% 28.27/14.16  Index Insertion      : 0.00
% 28.27/14.16  Index Deletion       : 0.00
% 28.27/14.16  Index Matching       : 0.00
% 28.27/14.16  BG Taut test         : 0.00
%------------------------------------------------------------------------------