TSTP Solution File: GRP132-1.002 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP132-1.002 : TPTP v8.1.2. Released v1.2.0.
% 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 : n019.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 10:40:14 EDT 2023

% Result   : Unsatisfiable 40.99s 28.07s
% Output   : CNFRefutation 40.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   73 (  17 unt;   5 typ;   0 def)
%            Number of atoms       :  293 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  383 ( 158   ~; 225   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :  137 (; 137   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ product > equalish > group_element > #nlpp > e_2 > e_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(group_element,type,
    group_element: $i > $o ).

tff(e_2,type,
    e_2: $i ).

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

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

tff(e_1,type,
    e_1: $i ).

tff(f_33,axiom,
    group_element(e_2),
    file(unknown,unknown) ).

tff(f_32,axiom,
    group_element(e_1),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [X,Y] :
      ( ~ group_element(X)
      | ~ group_element(Y)
      | product(X,Y,e_1)
      | product(X,Y,e_2) ),
    file(unknown,unknown) ).

tff(f_71,axiom,
    ! [W,Y,X,Z] :
      ( ~ product(W,Y,X)
      | ~ product(Z,Y,X)
      | equalish(W,Z) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ~ equalish(e_2,e_1),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ~ equalish(e_1,e_2),
    file(unknown,unknown) ).

tff(f_99,axiom,
    ! [Y1,X1,Z2,Y2,X2,Z1] :
      ( ~ product(X1,Y1,Z1)
      | ~ product(X2,Y2,Z1)
      | ~ product(Z2,X1,Y1)
      | ~ product(Z2,X2,Y2)
      | equalish(Y1,Y2) ),
    file(unknown,unknown) ).

tff(f_63,axiom,
    ! [X,W,Y,Z] :
      ( ~ product(X,W,Y)
      | ~ product(X,Z,Y)
      | equalish(W,Z) ),
    file(unknown,unknown) ).

tff(c_4,plain,
    group_element(e_2),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_2,plain,
    group_element(e_1),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_10,plain,
    ! [X_1,Y_2] :
      ( product(X_1,Y_2,e_2)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_24,plain,
    ! [X_39,Y_40] :
      ( product(X_39,Y_40,e_2)
      | product(X_39,Y_40,e_1)
      | ~ group_element(Y_40)
      | ~ group_element(X_39) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_16,plain,
    ! [W_11,Z_14,Y_12,X_13] :
      ( equalish(W_11,Z_14)
      | ~ product(Z_14,Y_12,X_13)
      | ~ product(W_11,Y_12,X_13) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_34,plain,
    ! [W_41,X_42,Y_43] :
      ( equalish(W_41,X_42)
      | ~ product(W_41,Y_43,e_2)
      | product(X_42,Y_43,e_1)
      | ~ group_element(Y_43)
      | ~ group_element(X_42) ),
    inference(resolution,[status(thm)],[c_24,c_16]) ).

tff(c_37,plain,
    ! [X_1,X_42,Y_2] :
      ( equalish(X_1,X_42)
      | product(X_42,Y_2,e_1)
      | ~ group_element(X_42)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_10,c_34]) ).

tff(c_8,plain,
    ~ equalish(e_2,e_1),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_6,plain,
    ~ equalish(e_1,e_2),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_38,plain,
    ! [Z2_46,Y1_47,X2_48,Y2_49,Z1_45,X1_44] :
      ( equalish(Y1_47,Y2_49)
      | ~ product(Z2_46,X2_48,Y2_49)
      | ~ product(Z2_46,X1_44,Y1_47)
      | ~ product(X2_48,Y2_49,Z1_45)
      | ~ product(X1_44,Y1_47,Z1_45) ),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_352,plain,
    ! [X_119,X1_121,Y_122,Z1_118,Y1_120] :
      ( equalish(Y1_120,e_2)
      | ~ product(X_119,X1_121,Y1_120)
      | ~ product(Y_122,e_2,Z1_118)
      | ~ product(X1_121,Y1_120,Z1_118)
      | product(X_119,Y_122,e_1)
      | ~ group_element(Y_122)
      | ~ group_element(X_119) ),
    inference(resolution,[status(thm)],[c_10,c_38]) ).

tff(c_358,plain,
    ! [Y_122,X_42,X_1,Z1_118,Y_2] :
      ( equalish(e_1,e_2)
      | ~ product(Y_122,e_2,Z1_118)
      | ~ product(Y_2,e_1,Z1_118)
      | product(X_42,Y_122,e_1)
      | ~ group_element(Y_122)
      | equalish(X_1,X_42)
      | ~ group_element(X_42)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_37,c_352]) ).

tff(c_420,plain,
    ! [X_137,X_136,Y_135,Y_139,Z1_138] :
      ( ~ product(Y_135,e_2,Z1_138)
      | ~ product(Y_139,e_1,Z1_138)
      | product(X_136,Y_135,e_1)
      | ~ group_element(Y_135)
      | equalish(X_137,X_136)
      | ~ group_element(X_136)
      | product(X_137,Y_139,e_1)
      | ~ group_element(Y_139)
      | ~ group_element(X_137) ),
    inference(negUnitSimplification,[status(thm)],[c_6,c_358]) ).

tff(c_435,plain,
    ! [Y_139,X_136,X_1,X_137] :
      ( ~ product(Y_139,e_1,e_2)
      | product(X_136,X_1,e_1)
      | equalish(X_137,X_136)
      | ~ group_element(X_136)
      | product(X_137,Y_139,e_1)
      | ~ group_element(Y_139)
      | ~ group_element(X_137)
      | product(X_1,e_2,e_1)
      | ~ group_element(e_2)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_10,c_420]) ).

tff(c_11950,plain,
    ! [Y_478,X_479,X_480,X_481] :
      ( ~ product(Y_478,e_1,e_2)
      | product(X_479,X_480,e_1)
      | equalish(X_481,X_479)
      | ~ group_element(X_479)
      | product(X_481,Y_478,e_1)
      | ~ group_element(Y_478)
      | ~ group_element(X_481)
      | product(X_480,e_2,e_1)
      | ~ group_element(X_480) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_435]) ).

tff(c_11953,plain,
    ! [X_479,X_480,X_481,X_1] :
      ( product(X_479,X_480,e_1)
      | equalish(X_481,X_479)
      | ~ group_element(X_479)
      | product(X_481,X_1,e_1)
      | ~ group_element(X_481)
      | product(X_480,e_2,e_1)
      | ~ group_element(X_480)
      | product(X_1,e_1,e_1)
      | ~ group_element(e_1)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_10,c_11950]) ).

tff(c_11956,plain,
    ! [X_479,X_480,X_481,X_1] :
      ( product(X_479,X_480,e_1)
      | equalish(X_481,X_479)
      | ~ group_element(X_479)
      | product(X_481,X_1,e_1)
      | ~ group_element(X_481)
      | product(X_480,e_2,e_1)
      | ~ group_element(X_480)
      | product(X_1,e_1,e_1)
      | ~ group_element(X_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_11953]) ).

tff(c_37658,plain,
    ! [X_479,X_480] :
      ( product(X_479,X_480,e_1)
      | equalish(e_1,X_479)
      | ~ group_element(X_479)
      | product(X_480,e_2,e_1)
      | ~ group_element(X_480)
      | ~ group_element(e_1)
      | product(e_1,e_1,e_1) ),
    inference(factorization,[status(thm),theory(equality)],[c_11956]) ).

tff(c_37661,plain,
    ! [X_479,X_480] :
      ( product(X_479,X_480,e_1)
      | equalish(e_1,X_479)
      | ~ group_element(X_479)
      | product(X_480,e_2,e_1)
      | ~ group_element(X_480)
      | product(e_1,e_1,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_37658]) ).

tff(c_39342,plain,
    product(e_1,e_1,e_1),
    inference(splitLeft,[status(thm)],[c_37661]) ).

tff(c_14,plain,
    ! [W_8,Z_10,X_7,Y_9] :
      ( equalish(W_8,Z_10)
      | ~ product(X_7,Z_10,Y_9)
      | ~ product(X_7,W_8,Y_9) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_47,plain,
    ! [W_53,Y_54,X_55] :
      ( equalish(W_53,Y_54)
      | ~ product(X_55,W_53,e_2)
      | product(X_55,Y_54,e_1)
      | ~ group_element(Y_54)
      | ~ group_element(X_55) ),
    inference(resolution,[status(thm)],[c_24,c_14]) ).

tff(c_50,plain,
    ! [Y_2,Y_54,X_1] :
      ( equalish(Y_2,Y_54)
      | product(X_1,Y_54,e_1)
      | ~ group_element(Y_54)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_10,c_47]) ).

tff(c_65,plain,
    ! [X_56,X_57,Y_58] :
      ( equalish(X_56,X_57)
      | product(X_57,Y_58,e_1)
      | ~ group_element(X_57)
      | product(X_56,Y_58,e_1)
      | ~ group_element(Y_58)
      | ~ group_element(X_56) ),
    inference(resolution,[status(thm)],[c_10,c_34]) ).

tff(c_253,plain,
    ! [W_90,X_91,Y_92,X_93] :
      ( equalish(W_90,X_91)
      | ~ product(W_90,Y_92,e_1)
      | equalish(X_91,X_93)
      | product(X_93,Y_92,e_1)
      | ~ group_element(X_93)
      | ~ group_element(Y_92)
      | ~ group_element(X_91) ),
    inference(resolution,[status(thm)],[c_65,c_16]) ).

tff(c_262,plain,
    ! [X_93,Y_54,X_91,X_1,Y_2] :
      ( equalish(X_1,X_91)
      | equalish(X_91,X_93)
      | product(X_93,Y_54,e_1)
      | ~ group_element(X_93)
      | ~ group_element(X_91)
      | equalish(Y_2,Y_54)
      | ~ group_element(Y_54)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_50,c_253]) ).

tff(c_1848,plain,
    ! [X_211,X_212,X_213] :
      ( equalish(X_211,X_212)
      | product(X_212,X_211,e_1)
      | ~ group_element(X_212)
      | ~ group_element(X_211)
      | product(X_213,X_213,e_1)
      | ~ group_element(X_213)
      | equalish(X_213,X_211) ),
    inference(factorization,[status(thm),theory(equality)],[c_262]) ).

tff(c_2040,plain,
    ! [W_11,X_212,X_211,X_213] :
      ( equalish(W_11,X_212)
      | ~ product(W_11,X_211,e_1)
      | equalish(X_211,X_212)
      | ~ group_element(X_212)
      | ~ group_element(X_211)
      | product(X_213,X_213,e_1)
      | ~ group_element(X_213)
      | equalish(X_213,X_211) ),
    inference(resolution,[status(thm)],[c_1848,c_16]) ).

tff(c_39490,plain,
    ! [X_212,X_213] :
      ( equalish(e_1,X_212)
      | ~ group_element(X_212)
      | ~ group_element(e_1)
      | product(X_213,X_213,e_1)
      | ~ group_element(X_213)
      | equalish(X_213,e_1) ),
    inference(resolution,[status(thm)],[c_39342,c_2040]) ).

tff(c_39770,plain,
    ! [X_212,X_213] :
      ( equalish(e_1,X_212)
      | ~ group_element(X_212)
      | product(X_213,X_213,e_1)
      | ~ group_element(X_213)
      | equalish(X_213,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_39490]) ).

tff(c_43016,plain,
    ! [X_778] :
      ( product(X_778,X_778,e_1)
      | ~ group_element(X_778)
      | equalish(X_778,e_1) ),
    inference(splitLeft,[status(thm)],[c_39770]) ).

tff(c_41,plain,
    ! [Y1_47,X_1,Z1_45,Y_2,X1_44] :
      ( equalish(Y1_47,e_2)
      | ~ product(X_1,X1_44,Y1_47)
      | ~ product(Y_2,e_2,Z1_45)
      | ~ product(X1_44,Y1_47,Z1_45)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_10,c_38]) ).

tff(c_39516,plain,
    ! [Y_2,Z1_45] :
      ( equalish(e_1,e_2)
      | ~ product(Y_2,e_2,Z1_45)
      | ~ product(e_1,e_1,Z1_45)
      | product(e_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(e_1) ),
    inference(resolution,[status(thm)],[c_39342,c_41]) ).

tff(c_39809,plain,
    ! [Y_2,Z1_45] :
      ( equalish(e_1,e_2)
      | ~ product(Y_2,e_2,Z1_45)
      | ~ product(e_1,e_1,Z1_45)
      | product(e_1,Y_2,e_1)
      | ~ group_element(Y_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_39516]) ).

tff(c_39810,plain,
    ! [Y_2,Z1_45] :
      ( ~ product(Y_2,e_2,Z1_45)
      | ~ product(e_1,e_1,Z1_45)
      | product(e_1,Y_2,e_1)
      | ~ group_element(Y_2) ),
    inference(negUnitSimplification,[status(thm)],[c_6,c_39809]) ).

tff(c_43019,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[c_43016,c_39810]) ).

tff(c_43256,plain,
    ( product(e_1,e_2,e_1)
    | equalish(e_2,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_39342,c_43019]) ).

tff(c_43257,plain,
    product(e_1,e_2,e_1),
    inference(negUnitSimplification,[status(thm)],[c_8,c_43256]) ).

tff(c_39848,plain,
    ! [W_8] :
      ( equalish(W_8,e_1)
      | ~ product(e_1,W_8,e_1) ),
    inference(resolution,[status(thm)],[c_39342,c_14]) ).

tff(c_43431,plain,
    equalish(e_2,e_1),
    inference(resolution,[status(thm)],[c_43257,c_39848]) ).

tff(c_43634,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_43431]) ).

tff(c_43636,plain,
    ! [X_779] :
      ( equalish(e_1,X_779)
      | ~ group_element(X_779) ),
    inference(splitRight,[status(thm)],[c_39770]) ).

tff(c_43639,plain,
    ~ group_element(e_2),
    inference(resolution,[status(thm)],[c_43636,c_6]) ).

tff(c_43643,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_43639]) ).

tff(c_43645,plain,
    ~ product(e_1,e_1,e_1),
    inference(splitRight,[status(thm)],[c_37661]) ).

tff(c_43923,plain,
    ! [X_1] :
      ( equalish(X_1,e_1)
      | product(X_1,e_1,e_1)
      | ~ group_element(e_1)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_37,c_43645]) ).

tff(c_44202,plain,
    ! [X_1] :
      ( equalish(X_1,e_1)
      | product(X_1,e_1,e_1)
      | ~ group_element(X_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_43923]) ).

tff(c_43920,plain,
    ! [Y_54] :
      ( equalish(e_1,Y_54)
      | product(e_1,Y_54,e_1)
      | ~ group_element(Y_54)
      | ~ group_element(e_1) ),
    inference(resolution,[status(thm)],[c_50,c_43645]) ).

tff(c_44199,plain,
    ! [Y_54] :
      ( equalish(e_1,Y_54)
      | product(e_1,Y_54,e_1)
      | ~ group_element(Y_54) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_43920]) ).

tff(c_43917,plain,
    ! [Y_2] :
      ( equalish(Y_2,e_1)
      | product(e_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(e_1) ),
    inference(resolution,[status(thm)],[c_50,c_43645]) ).

tff(c_44206,plain,
    ! [Y_780] :
      ( equalish(Y_780,e_1)
      | product(e_1,Y_780,e_1)
      | ~ group_element(Y_780) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_43917]) ).

tff(c_44404,plain,
    ! [Y_2,Z1_45,Y_780] :
      ( equalish(e_1,e_2)
      | ~ product(Y_2,e_2,Z1_45)
      | ~ product(Y_780,e_1,Z1_45)
      | product(e_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(e_1)
      | equalish(Y_780,e_1)
      | ~ group_element(Y_780) ),
    inference(resolution,[status(thm)],[c_44206,c_41]) ).

tff(c_44664,plain,
    ! [Y_2,Z1_45,Y_780] :
      ( equalish(e_1,e_2)
      | ~ product(Y_2,e_2,Z1_45)
      | ~ product(Y_780,e_1,Z1_45)
      | product(e_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | equalish(Y_780,e_1)
      | ~ group_element(Y_780) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_44404]) ).

tff(c_54892,plain,
    ! [Y_832,Z1_833,Y_834] :
      ( ~ product(Y_832,e_2,Z1_833)
      | ~ product(Y_834,e_1,Z1_833)
      | product(e_1,Y_832,e_1)
      | ~ group_element(Y_832)
      | equalish(Y_834,e_1)
      | ~ group_element(Y_834) ),
    inference(negUnitSimplification,[status(thm)],[c_6,c_44664]) ).

tff(c_54895,plain,
    ! [Y_834] :
      ( ~ product(Y_834,e_1,e_1)
      | product(e_1,e_1,e_1)
      | ~ group_element(e_1)
      | equalish(Y_834,e_1)
      | ~ group_element(Y_834)
      | equalish(e_1,e_2)
      | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_44199,c_54892]) ).

tff(c_55188,plain,
    ! [Y_834] :
      ( ~ product(Y_834,e_1,e_1)
      | product(e_1,e_1,e_1)
      | equalish(Y_834,e_1)
      | ~ group_element(Y_834)
      | equalish(e_1,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_54895]) ).

tff(c_55480,plain,
    ! [Y_835] :
      ( ~ product(Y_835,e_1,e_1)
      | equalish(Y_835,e_1)
      | ~ group_element(Y_835) ),
    inference(negUnitSimplification,[status(thm)],[c_6,c_43645,c_55188]) ).

tff(c_56166,plain,
    ! [X_836] :
      ( equalish(X_836,e_1)
      | ~ group_element(X_836) ),
    inference(resolution,[status(thm)],[c_44202,c_55480]) ).

tff(c_56169,plain,
    ~ group_element(e_2),
    inference(resolution,[status(thm)],[c_56166,c_8]) ).

tff(c_56173,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_56169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GRP132-1.002 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.15  % 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
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 22:02:01 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 40.99/28.07  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.99/28.08  
% 40.99/28.08  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 40.99/28.16  
% 40.99/28.16  Inference rules
% 40.99/28.16  ----------------------
% 40.99/28.16  #Ref     : 0
% 40.99/28.16  #Sup     : 13351
% 40.99/28.16  #Fact    : 304
% 40.99/28.16  #Define  : 0
% 40.99/28.16  #Split   : 5
% 40.99/28.16  #Chain   : 0
% 40.99/28.16  #Close   : 0
% 40.99/28.16  
% 40.99/28.16  Ordering : KBO
% 40.99/28.16  
% 40.99/28.16  Simplification rules
% 40.99/28.16  ----------------------
% 40.99/28.16  #Subsume      : 1334
% 40.99/28.16  #Demod        : 6941
% 40.99/28.16  #Tautology    : 3752
% 40.99/28.16  #SimpNegUnit  : 276
% 40.99/28.16  #BackRed      : 0
% 40.99/28.16  
% 40.99/28.16  #Partial instantiations: 0
% 40.99/28.16  #Strategies tried      : 1
% 40.99/28.16  
% 40.99/28.16  Timing (in seconds)
% 40.99/28.16  ----------------------
% 40.99/28.17  Preprocessing        : 0.42
% 40.99/28.17  Parsing              : 0.23
% 40.99/28.17  CNF conversion       : 0.02
% 40.99/28.17  Main loop            : 26.61
% 40.99/28.17  Inferencing          : 1.06
% 40.99/28.17  Reduction            : 1.13
% 40.99/28.17  Demodulation         : 0.78
% 40.99/28.17  BG Simplification    : 0.12
% 40.99/28.17  Subsumption          : 23.91
% 40.99/28.17  Abstraction          : 0.18
% 40.99/28.17  MUC search           : 0.00
% 40.99/28.17  Cooper               : 0.00
% 40.99/28.17  Total                : 27.14
% 40.99/28.17  Index Insertion      : 0.00
% 40.99/28.17  Index Deletion       : 0.00
% 40.99/28.17  Index Matching       : 0.00
% 40.99/28.17  BG Taut test         : 0.00
%------------------------------------------------------------------------------