TSTP Solution File: ARI698_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI698_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n025.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 10:34:15 EDT 2023

% Result   : Theorem 5.81s 2.64s
% Output   : CNFRefutation 5.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  118 (  96 unt;   7 typ;   0 def)
%            Number of atoms       :  144 ( 122 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   76 (  43   ~;  26   |;   6   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number arithmetic     :  487 (  16 atm; 269 fun; 180 num;  22 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (   7 usr;  13 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp

%Foreground sorts:

%Background operators:
tff(n,type,
    n: $int ).

tff(x3,type,
    x3: $int ).

tff(x5,type,
    x5: $int ).

tff(x6,type,
    x6: $int ).

tff(x2,type,
    x2: $int ).

tff(x1,type,
    x1: $int ).

tff(x4,type,
    x4: $int ).

%Foreground operators:

tff(f_52,negated_conjecture,
    ~ ( ( x6 = 0 )
      & ( x5 = 0 )
      & ( x4 = 0 )
      & ( x3 = 0 )
      & ( x2 = 0 )
      & ( x1 = 0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

tff(f_30,axiom,
    n = 1000,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).

tff(f_40,axiom,
    $difference($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(0,x2)),x1) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq11) ).

tff(f_39,axiom,
    $sum($difference($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),x2),$product(1,x1)) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq10) ).

tff(f_38,axiom,
    $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(1,x2)),$product(1,x1)) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq9) ).

tff(f_310,axiom,
    ! [A: $int,B: $int] :
      ( ( $less(0,A)
        & $less(0,B) )
     => $less(0,$product(A,B)) ),
    file('/export/starexec/sandbox2/solver/bin/lemmas/mult_lemmas.p',mult_nonneg_nonneg) ).

tff(f_285,axiom,
    ! [A: $int,B: $int] : ( $product(A,B) = $product(B,A) ),
    file('/export/starexec/sandbox2/solver/bin/lemmas/mult_lemmas.p',mult_comm) ).

tff(f_293,axiom,
    ! [A: $int,B: $int] : ( $uminus($product(A,B)) = $product($uminus(A),B) ),
    file('/export/starexec/sandbox2/solver/bin/lemmas/mult_lemmas.p',minus_mult_left) ).

tff(f_282,axiom,
    ! [M: $int,N: $int] : ( $product($sum(1,M),N) = $sum(N,$product(M,N)) ),
    file('/export/starexec/sandbox2/solver/bin/lemmas/mult_lemmas.p',mult_def_2) ).

tff(f_36,axiom,
    $difference($difference($difference($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),x3),x2),x1) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq7) ).

tff(f_32,axiom,
    $difference($difference($difference($difference($difference($product(n,x6),x5),x4),x3),x2),x1) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq3) ).

tff(f_33,axiom,
    $difference($difference($difference($difference($sum($product(n,x6),$product(1,x5)),x4),x3),x2),x1) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq4) ).

tff(c_56,plain,
    ( ( x6 != 0 )
    | ( x5 != 0 )
    | ( x4 != 0 )
    | ( x3 != 0 )
    | ( x2 != 0 )
    | ( x1 != 0 ) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_220,plain,
    x1 != 0,
    inference(splitLeft,[status(thm)],[c_56]) ).

tff(c_104,plain,
    n = 1000,
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_30,plain,
    $difference($product(n,x6),x1) = 0,
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_60,plain,
    $product(n,x6) = x1,
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_30]) ).

tff(c_141,plain,
    $product(1000,x6) = x1,
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_60]) ).

tff(c_27,plain,
    $sum($sum($uminus(x2),$product(n,x6)),x1) = 0,
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_64,plain,
    $product(n,x6) = $sum($uminus(x1),x2),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_27]) ).

tff(c_144,plain,
    $product(1000,x6) = $sum($uminus(x1),x2),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_64]) ).

tff(c_359,plain,
    $product(1000,x6) = $sum(x2,$uminus(x1)),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_144]) ).

tff(c_487,plain,
    $sum(x2,$uminus(x1)) = x1,
    inference(superposition,[status(thm),theory(equality)],[c_141,c_359]) ).

tff(c_489,plain,
    x2 = $product(2,x1),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_487]) ).

tff(c_24,plain,
    $sum($sum(x2,$product(n,x6)),x1) = 0,
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_68,plain,
    $product(n,x6) = $sum($uminus(x1),$uminus(x2)),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_24]) ).

tff(c_150,plain,
    $product(1000,x6) = $sum($uminus(x1),$uminus(x2)),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_68]) ).

tff(c_153,plain,
    $product(1000,x6) = $sum($uminus(x2),$uminus(x1)),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_150]) ).

tff(c_673,plain,
    $product(1000,x6) = $sum($uminus($product(2,x1)),$uminus(x1)),
    inference(demodulation,[status(thm),theory(equality)],[c_489,c_153]) ).

tff(c_678,plain,
    $product(1000,x6) = $product($uminus(3),x1),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_673]) ).

tff(c_762,plain,
    $product($uminus(3),x1) = x1,
    inference(superposition,[status(thm),theory(equality)],[c_678,c_141]) ).

tff(c_764,plain,
    x1 = 0,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_762]) ).

tff(c_840,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_220,c_764]) ).

tff(c_844,plain,
    x1 = 0,
    inference(splitRight,[status(thm)],[c_56]) ).

tff(c_853,plain,
    $product(1000,x6) = 0,
    inference(demodulation,[status(thm),theory(equality)],[c_844,c_141]) ).

tff(c_105,plain,
    ! [A_27: $int,B_28: $int] :
      ( $less(0,$product(A_27,B_28))
      | ~ $less(0,A_27)
      | ~ $less(0,B_28) ),
    inference(cnfTransformation,[status(thm)],[f_310]) ).

tff(c_959,plain,
    ( $less(0,0)
    | ~ $less(0,1000)
    | ~ $less(0,x6) ),
    inference(superposition,[status(thm),theory(equality)],[c_853,c_105]) ).

tff(c_961,plain,
    ~ $less(0,x6),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_959]) ).

tff(c_114,plain,
    ! [B_7: $int,A_8: $int] : ( $product(B_7,A_8) = $product(A_8,B_7) ),
    inference(cnfTransformation,[status(thm)],[f_285]) ).

tff(c_109,plain,
    ! [A_17: $int,B_18: $int,X_87: $int] :
      ( ( $uminus($product(A_17,B_18)) = $product(X_87,B_18) )
      | ( X_87 != $uminus(A_17) ) ),
    inference(cnfTransformation,[status(thm)],[f_293]) ).

tff(c_111,plain,
    ! [X_87: $int,B_18: $int,A_17: $int] :
      ( ( $uminus($product(X_87,B_18)) = $product(A_17,B_18) )
      | ( X_87 != $uminus(A_17) ) ),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_109]) ).

tff(c_116,plain,
    ! [X_89: $int,N_4: $int,M_3: $int] :
      ( ( $product(X_89,N_4) = $sum(N_4,$product(M_3,N_4)) )
      | ( X_89 != $sum(1,M_3) ) ),
    inference(cnfTransformation,[status(thm)],[f_282]) ).

tff(c_919,plain,
    ! [M_3: $int] :
      ( ( $sum(x6,$product(M_3,x6)) = 0 )
      | ( $sum(1,M_3) != 1000 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_853,c_116]) ).

tff(c_988,plain,
    $product(999,x6) = $uminus(x6),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_919]) ).

tff(c_1484,plain,
    $product(x6,999) = $uminus(x6),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_988]) ).

tff(c_1560,plain,
    $uminus($product($uminus(x6),999)) = $uminus(x6),
    inference(superposition,[status(thm),theory(equality)],[c_111,c_1484]) ).

tff(c_1630,plain,
    $uminus($product(999,$uminus(x6))) = $uminus(x6),
    inference(demodulation,[status(thm),theory(equality)],[c_114,c_1560]) ).

tff(c_1642,plain,
    $product(999,$uminus(x6)) = x6,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1630]) ).

tff(c_1691,plain,
    ( $less(0,x6)
    | ~ $less(0,999)
    | ~ $less(0,$uminus(x6)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1642,c_105]) ).

tff(c_1770,plain,
    ( ~ $less(0,999)
    | ~ $less(0,$uminus(x6)) ),
    inference(negUnitSimplification,[status(thm)],[c_961,c_1691]) ).

tff(c_1772,plain,
    ~ $less(x6,0),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1770]) ).

tff(c_843,plain,
    ( ( x2 != 0 )
    | ( x3 != 0 )
    | ( x4 != 0 )
    | ( x5 != 0 )
    | ( x6 != 0 ) ),
    inference(splitRight,[status(thm)],[c_56]) ).

tff(c_846,plain,
    x6 != 0,
    inference(splitLeft,[status(thm)],[c_843]) ).

tff(c_1802,plain,
    $false,
    inference(close,[status(thm),theory('LIA')],[c_1772,c_961,c_846]) ).

tff(c_1805,plain,
    ( ( x5 != 0 )
    | ( x4 != 0 )
    | ( x3 != 0 )
    | ( x2 != 0 ) ),
    inference(splitRight,[status(thm)],[c_843]) ).

tff(c_1808,plain,
    x2 != 0,
    inference(splitLeft,[status(thm)],[c_1805]) ).

tff(c_1806,plain,
    x6 = 0,
    inference(splitRight,[status(thm)],[c_843]) ).

tff(c_147,plain,
    $product(1000,x6) = $sum(x2,$uminus(x1)),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_144]) ).

tff(c_2285,plain,
    $product(1000,0) = $sum(x2,$uminus(0)),
    inference(demodulation,[status(thm),theory(equality)],[c_1806,c_844,c_147]) ).

tff(c_2287,plain,
    $product(1000,0) = x2,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_2285]) ).

tff(c_1810,plain,
    $product(1000,0) = 0,
    inference(demodulation,[status(thm),theory(equality)],[c_1806,c_844,c_141]) ).

tff(c_2289,plain,
    x2 = 0,
    inference(superposition,[status(thm),theory(equality)],[c_2287,c_1810]) ).

tff(c_2345,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1808,c_2289]) ).

tff(c_2349,plain,
    x2 = 0,
    inference(splitRight,[status(thm)],[c_1805]) ).

tff(c_18,plain,
    $difference($sum($uminus(x2),$sum($uminus(x3),$product(n,x6))),x1) = 0,
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_75,plain,
    $product(n,x6) = $sum(x3,$sum(x2,x1)),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_18]) ).

tff(c_78,plain,
    $product(n,x6) = $sum(x1,$sum(x2,x3)),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_75]) ).

tff(c_162,plain,
    $product(1000,x6) = $sum(x1,$sum(x2,x3)),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_78]) ).

tff(c_165,plain,
    $product(1000,x6) = $sum(x2,$sum(x3,x1)),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_162]) ).

tff(c_3023,plain,
    $product(1000,0) = $sum(0,$sum(x3,0)),
    inference(demodulation,[status(thm),theory(equality)],[c_2349,c_844,c_1806,c_165]) ).

tff(c_3025,plain,
    $product(1000,0) = x3,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3023]) ).

tff(c_2353,plain,
    $product(1000,0) = 0,
    inference(demodulation,[status(thm),theory(equality)],[c_844,c_1806,c_141]) ).

tff(c_3082,plain,
    x3 = 0,
    inference(superposition,[status(thm),theory(equality)],[c_3025,c_2353]) ).

tff(c_6,plain,
    $difference($sum($uminus(x2),$sum($uminus(x3),$sum($uminus(x5),$sum($uminus(x4),$product(n,x6))))),x1) = 0,
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_95,plain,
    $product(n,x6) = $sum(x5,$sum(x1,$sum(x4,$sum(x2,x3)))),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_6]) ).

tff(c_98,plain,
    $product(n,x6) = $sum(x2,$sum(x5,$sum(x3,$sum(x1,x4)))),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_95]) ).

tff(c_186,plain,
    $product(1000,x6) = $sum(x2,$sum(x5,$sum(x3,$sum(x1,x4)))),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_98]) ).

tff(c_189,plain,
    $product(1000,x6) = $sum(x5,$sum(x1,$sum(x4,$sum(x3,x2)))),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_186]) ).

tff(c_3541,plain,
    $product(1000,0) = $sum(x5,$sum(0,$sum(x4,$sum(0,0)))),
    inference(demodulation,[status(thm),theory(equality)],[c_3082,c_2349,c_844,c_1806,c_189]) ).

tff(c_3543,plain,
    $product(1000,0) = $sum(x4,x5),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3541]) ).

tff(c_3545,plain,
    $sum(x4,x5) = 0,
    inference(superposition,[status(thm),theory(equality)],[c_3543,c_2353]) ).

tff(c_3601,plain,
    x5 = $uminus(x4),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3545]) ).

tff(c_2348,plain,
    ( ( x3 != 0 )
    | ( x4 != 0 )
    | ( x5 != 0 ) ),
    inference(splitRight,[status(thm)],[c_1805]) ).

tff(c_2351,plain,
    x5 != 0,
    inference(splitLeft,[status(thm)],[c_2348]) ).

tff(c_3664,plain,
    $uminus(x4) != 0,
    inference(demodulation,[status(thm),theory(equality)],[c_3601,c_2351]) ).

tff(c_3668,plain,
    x4 != 0,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3664]) ).

tff(c_9,plain,
    $difference($sum($uminus(x2),$sum($uminus(x3),$sum(x5,$sum($uminus(x4),$product(n,x6))))),x1) = 0,
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_90,plain,
    $product(n,x6) = $sum($uminus(x5),$sum(x1,$sum(x4,$sum(x2,x3)))),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_9]) ).

tff(c_93,plain,
    $product(n,x6) = $sum(x2,$sum($uminus(x5),$sum(x3,$sum(x1,x4)))),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_90]) ).

tff(c_180,plain,
    $product(1000,x6) = $sum(x2,$sum($uminus(x5),$sum(x3,$sum(x1,x4)))),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_93]) ).

tff(c_183,plain,
    $product(1000,x6) = $sum($uminus(x5),$sum(x1,$sum(x4,$sum(x3,x2)))),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_180]) ).

tff(c_3769,plain,
    $product(1000,0) = $sum($uminus($uminus(x4)),$sum(0,$sum(x4,$sum(0,0)))),
    inference(demodulation,[status(thm),theory(equality)],[c_3601,c_3082,c_2349,c_844,c_1806,c_183]) ).

tff(c_3771,plain,
    $product(1000,0) = $product(2,x4),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3769]) ).

tff(c_3773,plain,
    $product(2,x4) = 0,
    inference(superposition,[status(thm),theory(equality)],[c_3771,c_2353]) ).

tff(c_3829,plain,
    x4 = 0,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3773]) ).

tff(c_3886,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3668,c_3829]) ).

tff(c_3889,plain,
    ( ( x4 != 0 )
    | ( x3 != 0 ) ),
    inference(splitRight,[status(thm)],[c_2348]) ).

tff(c_3892,plain,
    x3 != 0,
    inference(splitLeft,[status(thm)],[c_3889]) ).

tff(c_4470,plain,
    $product(1000,0) = $sum(0,$sum(x3,0)),
    inference(demodulation,[status(thm),theory(equality)],[c_844,c_1806,c_2349,c_165]) ).

tff(c_4472,plain,
    $product(1000,0) = x3,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_4470]) ).

tff(c_3894,plain,
    $product(1000,0) = 0,
    inference(demodulation,[status(thm),theory(equality)],[c_844,c_1806,c_141]) ).

tff(c_4474,plain,
    x3 = 0,
    inference(superposition,[status(thm),theory(equality)],[c_4472,c_3894]) ).

tff(c_4530,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3892,c_4474]) ).

tff(c_4533,plain,
    x4 != 0,
    inference(splitRight,[status(thm)],[c_3889]) ).

tff(c_4534,plain,
    x3 = 0,
    inference(splitRight,[status(thm)],[c_3889]) ).

tff(c_3890,plain,
    x5 = 0,
    inference(splitRight,[status(thm)],[c_2348]) ).

tff(c_6080,plain,
    $product(1000,0) = $sum(0,$sum(0,$sum(x4,$sum(0,0)))),
    inference(demodulation,[status(thm),theory(equality)],[c_4534,c_844,c_1806,c_2349,c_3890,c_189]) ).

tff(c_6082,plain,
    $product(1000,0) = x4,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_6080]) ).

tff(c_4536,plain,
    $product(1000,0) = 0,
    inference(demodulation,[status(thm),theory(equality)],[c_844,c_1806,c_141]) ).

tff(c_6084,plain,
    x4 = 0,
    inference(superposition,[status(thm),theory(equality)],[c_6082,c_4536]) ).

tff(c_6140,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4533,c_6084]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ARI698_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.10  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.29  % Computer : n025.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Fri Aug  4 00:24:50 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 5.81/2.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.81/2.66  
% 5.81/2.66  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.81/2.73  
% 5.81/2.73  Inference rules
% 5.81/2.73  ----------------------
% 5.81/2.73  #Ref     : 0
% 5.81/2.73  #Sup     : 1042
% 5.81/2.73  #Fact    : 0
% 5.81/2.73  #Define  : 0
% 5.81/2.73  #Split   : 11
% 5.81/2.73  #Chain   : 0
% 5.81/2.73  #Close   : 1
% 5.81/2.73  
% 5.81/2.73  Ordering : LPO
% 5.81/2.73  
% 5.81/2.73  Simplification rules
% 5.81/2.73  ----------------------
% 5.81/2.73  #Subsume      : 17
% 5.81/2.73  #Demod        : 530
% 5.81/2.73  #Tautology    : 605
% 5.81/2.73  #SimpNegUnit  : 9
% 5.81/2.73  #BackRed      : 6
% 5.81/2.73  
% 5.81/2.73  #Partial instantiations: 0
% 5.81/2.73  #Strategies tried      : 1
% 5.81/2.73  
% 5.81/2.73  Timing (in seconds)
% 5.81/2.73  ----------------------
% 5.81/2.74  Preprocessing        : 0.63
% 5.81/2.74  Parsing              : 0.31
% 5.81/2.74  CNF conversion       : 0.03
% 5.81/2.74  Main loop            : 0.89
% 5.81/2.74  Inferencing          : 0.19
% 5.81/2.74  Reduction            : 0.29
% 5.81/2.74  Demodulation         : 0.23
% 5.81/2.74  BG Simplification    : 0.14
% 5.81/2.74  Subsumption          : 0.16
% 5.81/2.74  Abstraction          : 0.05
% 5.81/2.74  MUC search           : 0.00
% 5.81/2.74  Cooper               : 0.04
% 5.81/2.74  Total                : 1.63
% 5.81/2.74  Index Insertion      : 0.00
% 5.81/2.74  Index Deletion       : 0.00
% 5.81/2.74  Index Matching       : 0.00
% 5.81/2.74  BG Taut test         : 0.00
%------------------------------------------------------------------------------