TSTP Solution File: GRP130-1.003 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP130-1.003 : 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/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 : n014.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 10:40:13 EDT 2023

% Result   : Unsatisfiable 5.16s 2.35s
% Output   : CNFRefutation 5.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  109 (  51 unt;   6 typ;   0 def)
%            Number of atoms       :  231 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  204 (  76   ~; 128   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 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    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   68 (;  68   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ product > equalish > group_element > #nlpp > e_3 > 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(e_3,type,
    e_3: $i ).

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

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

tff(f_39,axiom,
    ~ equalish(e_2,e_3),
    file(unknown,unknown) ).

tff(f_33,axiom,
    ~ equalish(e_1,e_2),
    file(unknown,unknown) ).

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

tff(f_30,axiom,
    group_element(e_2),
    file(unknown,unknown) ).

tff(f_31,axiom,
    group_element(e_3),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [X,Y] :
      ( ~ group_element(X)
      | ~ group_element(Y)
      | product(X,Y,e_1)
      | product(X,Y,e_2)
      | product(X,Y,e_3) ),
    file(unknown,unknown) ).

tff(f_87,axiom,
    ! [X,Y,Z1,Z2] :
      ( ~ product(X,Y,Z1)
      | ~ product(X,Z1,Z2)
      | product(Z2,Y,X) ),
    file(unknown,unknown) ).

tff(f_43,axiom,
    ~ equalish(e_3,e_2),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ~ equalish(e_1,e_3),
    file(unknown,unknown) ).

tff(f_29,axiom,
    group_element(e_1),
    file(unknown,unknown) ).

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

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

tff(f_79,axiom,
    ! [W,Y,X,Z] :
      ( ~ product(W,Y,X)
      | ~ product(Z,Y,X)
      | equalish(W,Z) ),
    file(unknown,unknown) ).

tff(c_14,plain,
    ~ equalish(e_2,e_3),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_8,plain,
    ~ equalish(e_1,e_2),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_12,plain,
    ~ equalish(e_2,e_1),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_4,plain,
    group_element(e_2),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_6,plain,
    group_element(e_3),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_20,plain,
    ! [X_1,Y_2] :
      ( product(X_1,Y_2,e_3)
      | 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_55]) ).

tff(c_33,plain,
    ! [X_35,Y_36] :
      ( product(X_35,Y_36,e_3)
      | product(X_35,Y_36,e_2)
      | product(X_35,Y_36,e_1)
      | ~ group_element(Y_36)
      | ~ group_element(X_35) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_28,plain,
    ! [Z2_18,Y_16,X_15,Z1_17] :
      ( product(Z2_18,Y_16,X_15)
      | ~ product(X_15,Z1_17,Z2_18)
      | ~ product(X_15,Y_16,Z1_17) ),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_59,plain,
    ! [Y_46,X_47,Y_48] :
      ( product(e_3,Y_46,X_47)
      | ~ product(X_47,Y_46,Y_48)
      | product(X_47,Y_48,e_2)
      | product(X_47,Y_48,e_1)
      | ~ group_element(Y_48)
      | ~ group_element(X_47) ),
    inference(resolution,[status(thm)],[c_33,c_28]) ).

tff(c_61,plain,
    ! [Y_2,X_1] :
      ( product(e_3,Y_2,X_1)
      | product(X_1,e_3,e_2)
      | product(X_1,e_3,e_1)
      | ~ group_element(e_3)
      | product(X_1,Y_2,e_2)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(resolution,[status(thm)],[c_20,c_59]) ).

tff(c_64,plain,
    ! [Y_2,X_1] :
      ( product(e_3,Y_2,X_1)
      | product(X_1,e_3,e_2)
      | product(X_1,e_3,e_1)
      | product(X_1,Y_2,e_2)
      | product(X_1,Y_2,e_1)
      | ~ group_element(Y_2)
      | ~ group_element(X_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_61]) ).

tff(c_18,plain,
    ~ equalish(e_3,e_2),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_10,plain,
    ~ equalish(e_1,e_3),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_2,plain,
    group_element(e_1),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_76,plain,
    ! [X_1] :
      ( product(e_3,e_3,X_1)
      | product(X_1,e_3,e_1)
      | ~ group_element(e_3)
      | ~ group_element(X_1)
      | product(X_1,e_3,e_2) ),
    inference(factorization,[status(thm),theory(equality)],[c_64]) ).

tff(c_79,plain,
    ! [X_1] :
      ( product(e_3,e_3,X_1)
      | product(X_1,e_3,e_1)
      | ~ group_element(X_1)
      | product(X_1,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_76]) ).

tff(c_162,plain,
    ! [X_51] :
      ( product(e_3,e_3,X_51)
      | product(X_51,e_3,e_1)
      | ~ group_element(X_51)
      | product(X_51,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_76]) ).

tff(c_773,plain,
    ! [Y_77,X_78] :
      ( product(e_2,Y_77,X_78)
      | ~ product(X_78,Y_77,e_3)
      | product(e_3,e_3,X_78)
      | product(X_78,e_3,e_1)
      | ~ group_element(X_78) ),
    inference(resolution,[status(thm)],[c_162,c_28]) ).

tff(c_776,plain,
    ( product(e_2,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_1)
    | ~ group_element(e_3)
    | product(e_3,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_79,c_773]) ).

tff(c_784,plain,
    ( product(e_2,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_776]) ).

tff(c_808,plain,
    product(e_3,e_3,e_2),
    inference(splitLeft,[status(thm)],[c_784]) ).

tff(c_42,plain,
    ! [Y_16,X_35,Y_36] :
      ( product(e_3,Y_16,X_35)
      | ~ product(X_35,Y_16,Y_36)
      | product(X_35,Y_36,e_2)
      | product(X_35,Y_36,e_1)
      | ~ group_element(Y_36)
      | ~ group_element(X_35) ),
    inference(resolution,[status(thm)],[c_33,c_28]) ).

tff(c_824,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3) ),
    inference(resolution,[status(thm)],[c_808,c_42]) ).

tff(c_854,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_824]) ).

tff(c_1170,plain,
    product(e_3,e_2,e_1),
    inference(splitLeft,[status(thm)],[c_854]) ).

tff(c_24,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_71]) ).

tff(c_208,plain,
    ! [W_8,X_51] :
      ( equalish(W_8,e_3)
      | ~ product(e_3,W_8,X_51)
      | product(X_51,e_3,e_1)
      | ~ group_element(X_51)
      | product(X_51,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_162,c_24]) ).

tff(c_1174,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_1170,c_208]) ).

tff(c_1192,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1174]) ).

tff(c_1193,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(negUnitSimplification,[status(thm)],[c_14,c_1192]) ).

tff(c_1584,plain,
    product(e_1,e_3,e_2),
    inference(splitLeft,[status(thm)],[c_1193]) ).

tff(c_1309,plain,
    ! [Y_91] :
      ( product(e_1,Y_91,e_3)
      | ~ product(e_3,Y_91,e_2) ),
    inference(resolution,[status(thm)],[c_1170,c_28]) ).

tff(c_1353,plain,
    product(e_1,e_3,e_3),
    inference(resolution,[status(thm)],[c_808,c_1309]) ).

tff(c_22,plain,
    ! [W_5,Z_6,X_3,Y_4] :
      ( equalish(W_5,Z_6)
      | ~ product(X_3,Y_4,Z_6)
      | ~ product(X_3,Y_4,W_5) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_1428,plain,
    ! [W_5] :
      ( equalish(W_5,e_3)
      | ~ product(e_1,e_3,W_5) ),
    inference(resolution,[status(thm)],[c_1353,c_22]) ).

tff(c_1587,plain,
    equalish(e_2,e_3),
    inference(resolution,[status(thm)],[c_1584,c_1428]) ).

tff(c_1618,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14,c_1587]) ).

tff(c_1619,plain,
    product(e_1,e_3,e_1),
    inference(splitRight,[status(thm)],[c_1193]) ).

tff(c_1623,plain,
    equalish(e_1,e_3),
    inference(resolution,[status(thm)],[c_1619,c_1428]) ).

tff(c_1643,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_1623]) ).

tff(c_1644,plain,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_3,e_3) ),
    inference(splitRight,[status(thm)],[c_854]) ).

tff(c_1652,plain,
    product(e_3,e_3,e_3),
    inference(splitLeft,[status(thm)],[c_1644]) ).

tff(c_861,plain,
    ! [W_5] :
      ( equalish(W_5,e_2)
      | ~ product(e_3,e_3,W_5) ),
    inference(resolution,[status(thm)],[c_808,c_22]) ).

tff(c_1660,plain,
    equalish(e_3,e_2),
    inference(resolution,[status(thm)],[c_1652,c_861]) ).

tff(c_1696,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_18,c_1660]) ).

tff(c_1697,plain,
    product(e_3,e_2,e_2),
    inference(splitRight,[status(thm)],[c_1644]) ).

tff(c_862,plain,
    ! [W_8] :
      ( equalish(W_8,e_3)
      | ~ product(e_3,W_8,e_2) ),
    inference(resolution,[status(thm)],[c_808,c_24]) ).

tff(c_1768,plain,
    equalish(e_2,e_3),
    inference(resolution,[status(thm)],[c_1697,c_862]) ).

tff(c_1796,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14,c_1768]) ).

tff(c_1798,plain,
    ~ product(e_3,e_3,e_2),
    inference(splitRight,[status(thm)],[c_784]) ).

tff(c_1823,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_64,c_1798]) ).

tff(c_1851,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_6,c_1823]) ).

tff(c_1895,plain,
    product(e_2,e_3,e_1),
    inference(splitLeft,[status(thm)],[c_1851]) ).

tff(c_1901,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_1895,c_42]) ).

tff(c_1922,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_1901]) ).

tff(c_1923,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(negUnitSimplification,[status(thm)],[c_1798,c_1922]) ).

tff(c_2328,plain,
    product(e_2,e_1,e_1),
    inference(splitLeft,[status(thm)],[c_1923]) ).

tff(c_1931,plain,
    ! [W_8] :
      ( equalish(W_8,e_3)
      | ~ product(e_2,W_8,e_1) ),
    inference(resolution,[status(thm)],[c_1895,c_24]) ).

tff(c_2378,plain,
    equalish(e_1,e_3),
    inference(resolution,[status(thm)],[c_2328,c_1931]) ).

tff(c_2394,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_2378]) ).

tff(c_2395,plain,
    product(e_2,e_1,e_2),
    inference(splitRight,[status(thm)],[c_1923]) ).

tff(c_2752,plain,
    ! [Y_125] :
      ( product(e_2,Y_125,e_2)
      | ~ product(e_2,Y_125,e_1) ),
    inference(resolution,[status(thm)],[c_2395,c_28]) ).

tff(c_26,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_79]) ).

tff(c_206,plain,
    ! [W_11,X_51] :
      ( equalish(W_11,e_3)
      | ~ product(W_11,e_3,X_51)
      | product(X_51,e_3,e_1)
      | ~ group_element(X_51)
      | product(X_51,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_162,c_26]) ).

tff(c_1897,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_1895,c_206]) ).

tff(c_1914,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1897]) ).

tff(c_1915,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(negUnitSimplification,[status(thm)],[c_14,c_1914]) ).

tff(c_2072,plain,
    product(e_1,e_3,e_2),
    inference(splitLeft,[status(thm)],[c_1915]) ).

tff(c_2135,plain,
    ! [W_11] :
      ( equalish(W_11,e_1)
      | ~ product(W_11,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_2072,c_26]) ).

tff(c_2769,plain,
    ( equalish(e_2,e_1)
    | ~ product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[c_2752,c_2135]) ).

tff(c_2813,plain,
    equalish(e_2,e_1),
    inference(demodulation,[status(thm),theory(equality)],[c_1895,c_2769]) ).

tff(c_2815,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12,c_2813]) ).

tff(c_2816,plain,
    product(e_1,e_3,e_1),
    inference(splitRight,[status(thm)],[c_1915]) ).

tff(c_1929,plain,
    ! [W_11] :
      ( equalish(W_11,e_2)
      | ~ product(W_11,e_3,e_1) ),
    inference(resolution,[status(thm)],[c_1895,c_26]) ).

tff(c_2820,plain,
    equalish(e_1,e_2),
    inference(resolution,[status(thm)],[c_2816,c_1929]) ).

tff(c_2840,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_2820]) ).

tff(c_2841,plain,
    product(e_2,e_3,e_2),
    inference(splitRight,[status(thm)],[c_1851]) ).

tff(c_2856,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_2841,c_42]) ).

tff(c_2888,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2856]) ).

tff(c_2889,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(negUnitSimplification,[status(thm)],[c_1798,c_2888]) ).

tff(c_3214,plain,
    product(e_2,e_2,e_1),
    inference(splitLeft,[status(thm)],[c_2889]) ).

tff(c_3409,plain,
    ! [Y_142] :
      ( product(e_1,Y_142,e_2)
      | ~ product(e_2,Y_142,e_2) ),
    inference(resolution,[status(thm)],[c_3214,c_28]) ).

tff(c_3443,plain,
    product(e_1,e_3,e_2),
    inference(resolution,[status(thm)],[c_2841,c_3409]) ).

tff(c_2895,plain,
    ! [W_11] :
      ( equalish(W_11,e_2)
      | ~ product(W_11,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_2841,c_26]) ).

tff(c_3470,plain,
    equalish(e_1,e_2),
    inference(resolution,[status(thm)],[c_3443,c_2895]) ).

tff(c_3508,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_3470]) ).

tff(c_3509,plain,
    product(e_2,e_2,e_2),
    inference(splitRight,[status(thm)],[c_2889]) ).

tff(c_2897,plain,
    ! [W_8] :
      ( equalish(W_8,e_3)
      | ~ product(e_2,W_8,e_2) ),
    inference(resolution,[status(thm)],[c_2841,c_24]) ).

tff(c_3576,plain,
    equalish(e_2,e_3),
    inference(resolution,[status(thm)],[c_3509,c_2897]) ).

tff(c_3606,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14,c_3576]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP130-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % 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
% 0.15/0.34  % Computer : n014.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 22:06:18 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 5.16/2.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.16/2.36  
% 5.16/2.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.16/2.41  
% 5.16/2.41  Inference rules
% 5.16/2.41  ----------------------
% 5.16/2.41  #Ref     : 0
% 5.16/2.41  #Sup     : 698
% 5.16/2.41  #Fact    : 6
% 5.16/2.41  #Define  : 0
% 5.16/2.41  #Split   : 10
% 5.16/2.41  #Chain   : 0
% 5.16/2.41  #Close   : 0
% 5.16/2.41  
% 5.16/2.41  Ordering : KBO
% 5.16/2.41  
% 5.16/2.41  Simplification rules
% 5.16/2.41  ----------------------
% 5.16/2.41  #Subsume      : 48
% 5.16/2.41  #Demod        : 706
% 5.16/2.41  #Tautology    : 213
% 5.16/2.41  #SimpNegUnit  : 119
% 5.16/2.41  #BackRed      : 0
% 5.16/2.41  
% 5.16/2.41  #Partial instantiations: 0
% 5.16/2.41  #Strategies tried      : 1
% 5.16/2.41  
% 5.16/2.41  Timing (in seconds)
% 5.16/2.41  ----------------------
% 5.16/2.41  Preprocessing        : 0.42
% 5.16/2.41  Parsing              : 0.23
% 5.16/2.41  CNF conversion       : 0.02
% 5.16/2.41  Main loop            : 0.91
% 5.16/2.41  Inferencing          : 0.31
% 5.16/2.41  Reduction            : 0.25
% 5.16/2.41  Demodulation         : 0.16
% 5.16/2.41  BG Simplification    : 0.04
% 5.16/2.41  Subsumption          : 0.26
% 5.16/2.41  Abstraction          : 0.03
% 5.16/2.41  MUC search           : 0.00
% 5.16/2.41  Cooper               : 0.00
% 5.16/2.41  Total                : 1.40
% 5.16/2.41  Index Insertion      : 0.00
% 5.16/2.41  Index Deletion       : 0.00
% 5.16/2.41  Index Matching       : 0.00
% 5.16/2.41  BG Taut test         : 0.00
%------------------------------------------------------------------------------