TSTP Solution File: GRP478-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n006.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 10:41:20 EDT 2023

% Result   : Unsatisfiable 31.70s 16.51s
% Output   : CNFRefutation 31.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   73 (  68 unt;   5 typ;   0 def)
%            Number of atoms       :   68 (  67 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  246 (; 246   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > b1 > a1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(a1,type,
    a1: $i ).

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

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

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

tff(b1,type,
    b1: $i ).

tff(f_25,axiom,
    ! [A,B] : ( multiply(A,B) = divide(A,inverse(B)) ),
    file(unknown,unknown) ).

tff(f_23,axiom,
    ! [A,B,C,D] : ( divide(inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))),D) = C ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [A_5,B_6] : ( divide(A_5,inverse(B_6)) = multiply(A_5,B_6) ),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_16,plain,
    ! [A_9,B_10,C_11,D_12] : ( divide(inverse(divide(divide(divide(A_9,A_9),B_10),divide(C_11,divide(B_10,D_12)))),D_12) = C_11 ),
    inference(cnfTransformation,[status(thm)],[f_23]) ).

tff(c_2,plain,
    ! [A_1,B_2,C_3,D_4] : ( divide(inverse(divide(divide(divide(A_1,A_1),B_2),divide(C_3,divide(B_2,D_4)))),D_4) = C_3 ),
    inference(cnfTransformation,[status(thm)],[f_23]) ).

tff(c_1068,plain,
    ! [D_70,A_74,B_72,B_69,C_71,A_73] : ( inverse(divide(divide(divide(A_74,A_74),B_69),divide(C_71,divide(B_69,divide(B_72,D_70))))) = divide(inverse(divide(divide(divide(A_73,A_73),B_72),C_71)),D_70) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).

tff(c_1272,plain,
    ! [A_73,B_72,C_71,D_70] : ( divide(divide(inverse(divide(divide(divide(A_73,A_73),B_72),C_71)),D_70),divide(B_72,D_70)) = C_71 ),
    inference(superposition,[status(thm),theory(equality)],[c_1068,c_2]) ).

tff(c_3386,plain,
    ! [A_121,D_123,B_119,C_122,B_120] : ( inverse(divide(divide(divide(A_121,A_121),B_119),divide(divide(C_122,divide(B_120,D_123)),divide(B_119,divide(B_120,D_123))))) = C_122 ),
    inference(superposition,[status(thm),theory(equality)],[c_1068,c_2]) ).

tff(c_3633,plain,
    ! [D_70,A_121,B_119,C_122,B_72,C_71,A_73] : ( inverse(divide(divide(divide(A_121,A_121),B_119),divide(divide(C_122,C_71),divide(B_119,divide(divide(inverse(divide(divide(divide(A_73,A_73),B_72),C_71)),D_70),divide(B_72,D_70)))))) = C_122 ),
    inference(superposition,[status(thm),theory(equality)],[c_1272,c_3386]) ).

tff(c_3849,plain,
    ! [A_124,B_125,C_126,C_127] : ( inverse(divide(divide(divide(A_124,A_124),B_125),divide(divide(C_126,C_127),divide(B_125,C_127)))) = C_126 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1272,c_3633]) ).

tff(c_6852,plain,
    ! [B_144,B_145,C_146,C_147] : ( inverse(divide(divide(multiply(inverse(B_144),B_144),B_145),divide(divide(C_146,C_147),divide(B_145,C_147)))) = C_146 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_3849]) ).

tff(c_6945,plain,
    ! [B_144,C_147,A_5,B_145,C_146] : ( multiply(A_5,divide(divide(multiply(inverse(B_144),B_144),B_145),divide(divide(C_146,C_147),divide(B_145,C_147)))) = divide(A_5,C_146) ),
    inference(superposition,[status(thm),theory(equality)],[c_6852,c_4]) ).

tff(c_4133,plain,
    ! [B_6,B_125,C_126,C_127] : ( inverse(divide(divide(multiply(inverse(B_6),B_6),B_125),divide(divide(C_126,C_127),divide(B_125,C_127)))) = C_126 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_3849]) ).

tff(c_3882,plain,
    ! [C_126,D_70,B_125,C_127] : ( divide(divide(C_126,D_70),divide(B_125,D_70)) = divide(divide(C_126,C_127),divide(B_125,C_127)) ),
    inference(superposition,[status(thm),theory(equality)],[c_3849,c_1272]) ).

tff(c_4137,plain,
    ! [A_124,B_6,C_126,C_127] : ( inverse(divide(multiply(divide(A_124,A_124),B_6),divide(divide(C_126,C_127),divide(inverse(B_6),C_127)))) = C_126 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_3849]) ).

tff(c_5924,plain,
    ! [A_136,B_137,C_138,C_139] : ( inverse(divide(multiply(divide(A_136,A_136),B_137),divide(divide(C_138,C_139),divide(inverse(B_137),C_139)))) = C_138 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_3849]) ).

tff(c_6014,plain,
    ! [B_137,A_5,A_136,C_139,C_138] : ( multiply(A_5,divide(multiply(divide(A_136,A_136),B_137),divide(divide(C_138,C_139),divide(inverse(B_137),C_139)))) = divide(A_5,C_138) ),
    inference(superposition,[status(thm),theory(equality)],[c_5924,c_4]) ).

tff(c_1472,plain,
    ! [A_75,B_76,C_77,D_78] : ( divide(divide(inverse(divide(divide(divide(A_75,A_75),B_76),C_77)),D_78),divide(B_76,D_78)) = C_77 ),
    inference(superposition,[status(thm),theory(equality)],[c_1068,c_2]) ).

tff(c_1784,plain,
    ! [B_83,B_84,C_85,D_86] : ( divide(divide(inverse(divide(divide(multiply(inverse(B_83),B_83),B_84),C_85)),D_86),divide(B_84,D_86)) = C_85 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1472]) ).

tff(c_1930,plain,
    ! [B_83,B_6,C_85,D_86] : ( divide(divide(inverse(divide(multiply(multiply(inverse(B_83),B_83),B_6),C_85)),D_86),divide(inverse(B_6),D_86)) = C_85 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1784]) ).

tff(c_1624,plain,
    ! [A_75,B_76,C_77,B_6] : ( divide(multiply(inverse(divide(divide(divide(A_75,A_75),B_76),C_77)),B_6),divide(B_76,inverse(B_6))) = C_77 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1472]) ).

tff(c_1655,plain,
    ! [A_75,B_76,C_77,B_6] : ( divide(multiply(inverse(divide(divide(divide(A_75,A_75),B_76),C_77)),B_6),multiply(B_76,B_6)) = C_77 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1624]) ).

tff(c_4182,plain,
    ! [C_128,B_129,B_130,C_131] : ( divide(multiply(C_128,B_129),multiply(B_130,B_129)) = divide(divide(C_128,C_131),divide(B_130,C_131)) ),
    inference(superposition,[status(thm),theory(equality)],[c_3849,c_1655]) ).

tff(c_13792,plain,
    ! [B_211,B_212,C_213,B_214] : ( divide(multiply(inverse(divide(multiply(multiply(inverse(B_211),B_211),B_212),C_213)),B_214),multiply(inverse(B_212),B_214)) = C_213 ),
    inference(superposition,[status(thm),theory(equality)],[c_1930,c_4182]) ).

tff(c_14146,plain,
    ! [B_211,B_212,B_6,B_214] : ( divide(multiply(inverse(multiply(multiply(multiply(inverse(B_211),B_211),B_212),B_6)),B_214),multiply(inverse(B_212),B_214)) = inverse(B_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_13792]) ).

tff(c_60329,plain,
    ! [C_436,B_435,B_434,A_437,D_438] : ( divide(divide(inverse(divide(multiply(divide(A_437,A_437),B_435),multiply(B_434,B_435))),D_438),divide(C_436,D_438)) = divide(B_434,C_436) ),
    inference(superposition,[status(thm),theory(equality)],[c_4182,c_1272]) ).

tff(c_1476,plain,
    ! [D_70,C_71,C_77,A_75,B_76] : ( divide(divide(inverse(divide(C_77,C_71)),D_70),divide(divide(B_76,inverse(divide(divide(divide(A_75,A_75),B_76),C_77))),D_70)) = C_71 ),
    inference(superposition,[status(thm),theory(equality)],[c_1472,c_1272]) ).

tff(c_1628,plain,
    ! [D_70,C_71,C_77,A_75,B_76] : ( divide(divide(inverse(divide(C_77,C_71)),D_70),divide(multiply(B_76,divide(divide(divide(A_75,A_75),B_76),C_77)),D_70)) = C_71 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1476]) ).

tff(c_61790,plain,
    ! [B_442,B_440,A_443,A_439,B_441] : ( divide(B_442,multiply(B_440,divide(divide(divide(A_443,A_443),B_440),multiply(divide(A_439,A_439),B_441)))) = multiply(B_442,B_441) ),
    inference(superposition,[status(thm),theory(equality)],[c_60329,c_1628]) ).

tff(c_4674,plain,
    ! [B_83,B_6,C_85,B_129] : ( divide(multiply(inverse(divide(multiply(multiply(inverse(B_83),B_83),B_6),C_85)),B_129),multiply(inverse(B_6),B_129)) = C_85 ),
    inference(superposition,[status(thm),theory(equality)],[c_1930,c_4182]) ).

tff(c_62481,plain,
    ! [B_6,B_440,B_129,A_443,B_83,A_439,B_441] : ( multiply(B_440,divide(divide(divide(A_443,A_443),B_440),multiply(divide(A_439,A_439),B_441))) = divide(multiply(inverse(multiply(multiply(multiply(inverse(B_83),B_83),B_6),B_441)),B_129),multiply(inverse(B_6),B_129)) ),
    inference(superposition,[status(thm),theory(equality)],[c_61790,c_4674]) ).

tff(c_63755,plain,
    ! [B_444,A_445,A_446,B_447] : ( multiply(B_444,divide(divide(divide(A_445,A_445),B_444),multiply(divide(A_446,A_446),B_447))) = inverse(B_447) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14146,c_62481]) ).

tff(c_64301,plain,
    ! [B_137,B_444,A_136,A_445,C_139,C_138,A_446] : ( multiply(B_444,divide(divide(divide(A_445,A_445),B_444),divide(divide(A_446,A_446),C_138))) = inverse(divide(multiply(divide(A_136,A_136),B_137),divide(divide(C_138,C_139),divide(inverse(B_137),C_139)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_6014,c_63755]) ).

tff(c_65640,plain,
    ! [B_452,A_453,A_454,C_455] : ( multiply(B_452,divide(divide(divide(A_453,A_453),B_452),divide(divide(A_454,A_454),C_455))) = C_455 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4137,c_64301]) ).

tff(c_66378,plain,
    ! [C_127,A_453,D_70,A_454] : ( multiply(C_127,divide(divide(divide(A_453,A_453),D_70),divide(divide(A_454,A_454),D_70))) = C_127 ),
    inference(superposition,[status(thm),theory(equality)],[c_3882,c_65640]) ).

tff(c_66594,plain,
    ! [C_456,A_457,D_458,A_459] : ( multiply(C_456,divide(divide(divide(A_457,A_457),D_458),divide(divide(A_459,A_459),D_458))) = C_456 ),
    inference(superposition,[status(thm),theory(equality)],[c_3882,c_65640]) ).

tff(c_4848,plain,
    ! [A_5,B_6,B_130,B_129] : ( divide(multiply(A_5,B_6),divide(B_130,inverse(B_6))) = divide(multiply(A_5,B_129),multiply(B_130,B_129)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_4182]) ).

tff(c_4919,plain,
    ! [A_5,B_6,B_130,B_129] : ( divide(multiply(A_5,B_6),multiply(B_130,B_6)) = divide(multiply(A_5,B_129),multiply(B_130,B_129)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4848]) ).

tff(c_67116,plain,
    ! [B_129,C_456,A_459,D_458,B_130,A_457] : ( divide(multiply(C_456,B_129),multiply(B_130,B_129)) = divide(C_456,multiply(B_130,divide(divide(divide(A_457,A_457),D_458),divide(divide(A_459,A_459),D_458)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_66594,c_4919]) ).

tff(c_67749,plain,
    ! [C_456,B_129,B_130] : ( divide(multiply(C_456,B_129),multiply(B_130,B_129)) = divide(C_456,B_130) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66378,c_67116]) ).

tff(c_15031,plain,
    ! [B_225,B_226,C_227,C_228] : ( inverse(divide(multiply(multiply(inverse(B_225),B_225),B_226),divide(divide(C_227,C_228),divide(inverse(B_226),C_228)))) = C_227 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_5924]) ).

tff(c_15500,plain,
    ! [B_225,B_226,C_227,B_6] : ( inverse(divide(multiply(multiply(inverse(B_225),B_225),B_226),divide(divide(C_227,inverse(B_6)),multiply(inverse(B_226),B_6)))) = C_227 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_15031]) ).

tff(c_15525,plain,
    ! [B_225,B_226,C_227,B_6] : ( inverse(divide(multiply(multiply(inverse(B_225),B_225),B_226),divide(multiply(C_227,B_6),multiply(inverse(B_226),B_6)))) = C_227 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_15500]) ).

tff(c_69307,plain,
    ! [B_225,B_226,C_227] : ( inverse(divide(multiply(multiply(inverse(B_225),B_225),B_226),divide(C_227,inverse(B_226)))) = C_227 ),
    inference(demodulation,[status(thm),theory(equality)],[c_67749,c_15525]) ).

tff(c_70872,plain,
    ! [B_471,C_472] : ( inverse(divide(multiply(inverse(B_471),B_471),C_472)) = C_472 ),
    inference(demodulation,[status(thm),theory(equality)],[c_67749,c_4,c_69307]) ).

tff(c_71346,plain,
    ! [B_473,B_474] : ( inverse(divide(inverse(B_473),B_474)) = multiply(B_474,B_473) ),
    inference(superposition,[status(thm),theory(equality)],[c_67749,c_70872]) ).

tff(c_71745,plain,
    ! [C_126,B_6,B_125,C_127,B_474] : ( multiply(B_474,divide(divide(multiply(inverse(B_6),B_6),B_125),divide(divide(C_126,C_127),divide(B_125,C_127)))) = inverse(divide(C_126,B_474)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4133,c_71346]) ).

tff(c_71798,plain,
    ! [C_126,B_474] : ( inverse(divide(C_126,B_474)) = divide(B_474,C_126) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6945,c_71745]) ).

tff(c_71848,plain,
    ! [C_475,B_476] : ( inverse(divide(C_475,B_476)) = divide(B_476,C_475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6945,c_71745]) ).

tff(c_1620,plain,
    ! [A_75,B_76,B_6,D_78] : ( divide(divide(inverse(multiply(divide(divide(A_75,A_75),B_76),B_6)),D_78),divide(B_76,D_78)) = inverse(B_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1472]) ).

tff(c_3587,plain,
    ! [B_6,A_121,D_78,B_119,C_122,A_75,B_76] : ( inverse(divide(divide(divide(A_121,A_121),B_119),divide(divide(C_122,inverse(B_6)),divide(B_119,divide(divide(inverse(multiply(divide(divide(A_75,A_75),B_76),B_6)),D_78),divide(B_76,D_78)))))) = C_122 ),
    inference(superposition,[status(thm),theory(equality)],[c_1620,c_3386]) ).

tff(c_7239,plain,
    ! [A_148,B_149,C_150,B_151] : ( inverse(divide(divide(divide(A_148,A_148),B_149),divide(multiply(C_150,B_151),multiply(B_149,B_151)))) = C_150 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1620,c_4,c_3587]) ).

tff(c_7468,plain,
    ! [A_148,B_6,C_150,B_151] : ( inverse(divide(multiply(divide(A_148,A_148),B_6),divide(multiply(C_150,B_151),multiply(inverse(B_6),B_151)))) = C_150 ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_7239]) ).

tff(c_69308,plain,
    ! [A_148,B_6,C_150] : ( inverse(divide(multiply(divide(A_148,A_148),B_6),divide(C_150,inverse(B_6)))) = C_150 ),
    inference(demodulation,[status(thm),theory(equality)],[c_67749,c_7468]) ).

tff(c_69314,plain,
    ! [A_148,C_150] : ( inverse(divide(divide(A_148,A_148),C_150)) = C_150 ),
    inference(demodulation,[status(thm),theory(equality)],[c_67749,c_4,c_69308]) ).

tff(c_72136,plain,
    ! [B_477,A_478] : ( divide(B_477,divide(A_478,A_478)) = B_477 ),
    inference(superposition,[status(thm),theory(equality)],[c_71848,c_69314]) ).

tff(c_77668,plain,
    ! [A_503,A_504] : ( inverse(divide(A_503,A_503)) = divide(A_504,A_504) ),
    inference(superposition,[status(thm),theory(equality)],[c_72136,c_69314]) ).

tff(c_72162,plain,
    ! [A_148,A_478] : ( inverse(divide(A_148,A_148)) = divide(A_478,A_478) ),
    inference(superposition,[status(thm),theory(equality)],[c_72136,c_69314]) ).

tff(c_77670,plain,
    ! [A_503,A_478] : ( inverse(inverse(divide(A_503,A_503))) = divide(A_478,A_478) ),
    inference(superposition,[status(thm),theory(equality)],[c_77668,c_72162]) ).

tff(c_78313,plain,
    ! [A_506,A_505] : ( divide(A_506,A_506) = divide(A_505,A_505) ),
    inference(demodulation,[status(thm),theory(equality)],[c_71798,c_71798,c_77670]) ).

tff(c_78935,plain,
    ! [B_6,A_506] : ( multiply(inverse(B_6),B_6) = divide(A_506,A_506) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_78313]) ).

tff(c_80428,plain,
    ! [B_519,A_520] : ( multiply(inverse(B_519),B_519) = divide(A_520,A_520) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_78313]) ).

tff(c_6,plain,
    multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_84999,plain,
    ! [A_559] : ( multiply(inverse(a1),a1) != divide(A_559,A_559) ),
    inference(superposition,[status(thm),theory(equality)],[c_80428,c_6]) ).

tff(c_85005,plain,
    ! [A_559,A_506] : ( divide(A_559,A_559) != divide(A_506,A_506) ),
    inference(superposition,[status(thm),theory(equality)],[c_78935,c_84999]) ).

tff(c_78196,plain,
    ! [A_503,A_478] : ( divide(A_503,A_503) = divide(A_478,A_478) ),
    inference(demodulation,[status(thm),theory(equality)],[c_71798,c_71798,c_77670]) ).

tff(c_85048,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_85005,c_78196]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14  % 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
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 21:57:13 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 31.70/16.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.70/16.53  
% 31.70/16.53  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 31.70/16.57  
% 31.70/16.57  Inference rules
% 31.70/16.57  ----------------------
% 31.70/16.57  #Ref     : 0
% 31.70/16.57  #Sup     : 21890
% 31.70/16.57  #Fact    : 0
% 31.70/16.57  #Define  : 0
% 31.70/16.57  #Split   : 0
% 31.70/16.57  #Chain   : 0
% 31.70/16.57  #Close   : 0
% 31.70/16.57  
% 31.70/16.57  Ordering : KBO
% 31.70/16.57  
% 31.70/16.57  Simplification rules
% 31.70/16.57  ----------------------
% 31.70/16.57  #Subsume      : 1275
% 31.70/16.57  #Demod        : 11979
% 31.70/16.57  #Tautology    : 2385
% 31.70/16.57  #SimpNegUnit  : 1
% 31.70/16.57  #BackRed      : 86
% 31.70/16.57  
% 31.70/16.57  #Partial instantiations: 0
% 31.70/16.57  #Strategies tried      : 1
% 31.70/16.57  
% 31.70/16.57  Timing (in seconds)
% 31.70/16.57  ----------------------
% 31.70/16.58  Preprocessing        : 0.39
% 31.70/16.58  Parsing              : 0.20
% 31.70/16.58  CNF conversion       : 0.02
% 31.70/16.58  Main loop            : 15.09
% 31.70/16.58  Inferencing          : 3.51
% 31.70/16.58  Reduction            : 8.57
% 31.70/16.58  Demodulation         : 7.98
% 31.70/16.58  BG Simplification    : 0.68
% 31.70/16.58  Subsumption          : 1.67
% 31.70/16.58  Abstraction          : 1.16
% 31.70/16.58  MUC search           : 0.00
% 31.70/16.58  Cooper               : 0.00
% 31.70/16.58  Total                : 15.56
% 31.70/16.58  Index Insertion      : 0.00
% 31.70/16.58  Index Deletion       : 0.00
% 31.70/16.58  Index Matching       : 0.00
% 31.70/16.58  BG Taut test         : 0.00
%------------------------------------------------------------------------------