TSTP Solution File: GRP618+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n013.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 10:41:39 EDT 2023

% Result   : Theorem 9.27s 3.18s
% Output   : CNFRefutation 9.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  100 (  20 unt;  55 typ;   0 def)
%            Number of atoms       :  170 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  216 (  91   ~;  95   |;  12   &)
%                                         (   1 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   62 (  38   >;  24   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-3 aty)
%            Number of functors    :   34 (  34 usr;  17 con; 0-3 aty)
%            Number of variables   :   28 (;  28   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v1_group_3 > r2_hidden > r1_tarski > r1_rlvect_1 > m1_subset_1 > m1_group_2 > v4_group_1 > v3_struct_0 > v3_group_1 > v2_group_1 > v2_funct_1 > v1_xboole_0 > v1_relat_1 > v1_group_1 > v1_funct_1 > l1_struct_0 > l1_group_1 > k2_group_3 > k2_zfmisc_1 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k1_zfmisc_1 > k1_xboole_0 > #skF_20 > #skF_18 > #skF_26 > #skF_15 > #skF_25 > #skF_22 > #skF_19 > #skF_7 > #skF_13 > #skF_16 > #skF_12 > #skF_14 > #skF_5 > #skF_6 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_8 > #skF_21 > #skF_9 > #skF_23 > #skF_4 > #skF_17 > #skF_11 > #skF_24 > #skF_27

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(v2_group_1,type,
    v2_group_1: $i > $o ).

tff(m2_relset_1,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(v3_group_1,type,
    v3_group_1: $i > $o ).

tff(u1_group_1,type,
    u1_group_1: $i > $i ).

tff('#skF_20',type,
    '#skF_20': $i ).

tff(v1_funct_1,type,
    v1_funct_1: $i > $o ).

tff(v2_funct_1,type,
    v2_funct_1: $i > $o ).

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff(r2_hidden,type,
    r2_hidden: ( $i * $i ) > $o ).

tff('#skF_26',type,
    '#skF_26': ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

tff(v1_partfun1,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff('#skF_25',type,
    '#skF_25': $i ).

tff(k1_xboole_0,type,
    k1_xboole_0: $i ).

tff('#skF_22',type,
    '#skF_22': $i > $i ).

tff('#skF_19',type,
    '#skF_19': $i ).

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

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

tff(r1_tarski,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(m1_relset_1,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff('#skF_16',type,
    '#skF_16': $i ).

tff(v1_group_3,type,
    v1_group_3: ( $i * $i ) > $o ).

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

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

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

tff(v1_funct_2,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

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

tff(v1_group_1,type,
    v1_group_1: $i > $o ).

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

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

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

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

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

tff('#skF_21',type,
    '#skF_21': $i ).

tff('#skF_9',type,
    '#skF_9': $i ).

tff(r1_rlvect_1,type,
    r1_rlvect_1: ( $i * $i ) > $o ).

tff(k1_zfmisc_1,type,
    k1_zfmisc_1: $i > $i ).

tff(l1_struct_0,type,
    l1_struct_0: $i > $o ).

tff('#skF_23',type,
    '#skF_23': $i > $i ).

tff(v1_relat_1,type,
    v1_relat_1: $i > $o ).

tff(k2_zfmisc_1,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

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

tff('#skF_17',type,
    '#skF_17': $i > $i ).

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

tff(m1_group_2,type,
    m1_group_2: ( $i * $i ) > $o ).

tff('#skF_24',type,
    '#skF_24': $i ).

tff(v4_group_1,type,
    v4_group_1: $i > $o ).

tff(k2_group_3,type,
    k2_group_3: ( $i * $i * $i ) > $i ).

tff(g1_group_1,type,
    g1_group_1: ( $i * $i ) > $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i ) > $i ).

tff(u1_struct_0,type,
    u1_struct_0: $i > $i ).

tff(v1_xboole_0,type,
    v1_xboole_0: $i > $o ).

tff(l1_group_1,type,
    l1_group_1: $i > $o ).

tff(v3_struct_0,type,
    v3_struct_0: $i > $o ).

tff(m1_subset_1,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(f_56,negated_conjecture,
    ~ ! [A] :
        ( ( ~ v3_struct_0(A)
          & v1_group_1(A)
          & v3_group_1(A)
          & v4_group_1(A)
          & l1_group_1(A) )
       => ! [B] :
            ( m1_group_2(B,A)
           => ( ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ( m1_subset_1(D,u1_struct_0(B))
                       => r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
            <=> v1_group_3(B,A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_autgroup) ).

tff(f_488,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_group_1(A)
        & v3_group_1(A)
        & v4_group_1(A)
        & l1_group_1(A) )
     => ! [B] :
          ( m1_group_2(B,A)
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( m1_subset_1(D,u1_struct_0(B))
                     => r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
           => v1_group_3(B,A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_autgroup) ).

tff(f_514,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_group_1(A)
        & v3_group_1(A)
        & v4_group_1(A)
        & l1_group_1(A) )
     => ! [B] :
          ( m1_group_2(B,A)
         => ( v1_group_3(B,A)
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( m1_subset_1(D,u1_struct_0(B))
                     => r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_autgroup) ).

tff(c_12,plain,
    ~ v3_struct_0('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_10,plain,
    v1_group_1('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_8,plain,
    v3_group_1('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_6,plain,
    v4_group_1('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_4,plain,
    l1_group_1('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_2,plain,
    m1_group_2('#skF_2','#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_18,plain,
    ( ~ v1_group_3('#skF_2','#skF_1')
    | m1_subset_1('#skF_4',u1_struct_0('#skF_2')) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_283,plain,
    ~ v1_group_3('#skF_2','#skF_1'),
    inference(splitLeft,[status(thm)],[c_18]) ).

tff(c_258,plain,
    ! [A_113,B_121] :
      ( m1_subset_1('#skF_27'(A_113,B_121),u1_struct_0(A_113))
      | v1_group_3(B_121,A_113)
      | ~ m1_group_2(B_121,A_113)
      | ~ l1_group_1(A_113)
      | ~ v4_group_1(A_113)
      | ~ v3_group_1(A_113)
      | ~ v1_group_1(A_113)
      | v3_struct_0(A_113) ),
    inference(cnfTransformation,[status(thm)],[f_488]) ).

tff(c_256,plain,
    ! [A_113,B_121] :
      ( m1_subset_1('#skF_27'(A_113,B_121),u1_struct_0(B_121))
      | v1_group_3(B_121,A_113)
      | ~ m1_group_2(B_121,A_113)
      | ~ l1_group_1(A_113)
      | ~ v4_group_1(A_113)
      | ~ v3_group_1(A_113)
      | ~ v1_group_1(A_113)
      | v3_struct_0(A_113) ),
    inference(cnfTransformation,[status(thm)],[f_488]) ).

tff(c_260,plain,
    ! [A_113,B_121] :
      ( m1_subset_1('#skF_26'(A_113,B_121),u1_struct_0(A_113))
      | v1_group_3(B_121,A_113)
      | ~ m1_group_2(B_121,A_113)
      | ~ l1_group_1(A_113)
      | ~ v4_group_1(A_113)
      | ~ v3_group_1(A_113)
      | ~ v1_group_1(A_113)
      | v3_struct_0(A_113) ),
    inference(cnfTransformation,[status(thm)],[f_488]) ).

tff(c_32,plain,
    ! [D_22,C_20] :
      ( r1_rlvect_1('#skF_2',k2_group_3('#skF_1',D_22,C_20))
      | ~ m1_subset_1(D_22,u1_struct_0('#skF_2'))
      | ~ m1_subset_1(D_22,u1_struct_0('#skF_1'))
      | ~ m1_subset_1(C_20,u1_struct_0('#skF_1'))
      | v1_group_3('#skF_2','#skF_1') ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_407,plain,
    ! [D_22,C_20] :
      ( r1_rlvect_1('#skF_2',k2_group_3('#skF_1',D_22,C_20))
      | ~ m1_subset_1(D_22,u1_struct_0('#skF_2'))
      | ~ m1_subset_1(D_22,u1_struct_0('#skF_1'))
      | ~ m1_subset_1(C_20,u1_struct_0('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_283,c_32]) ).

tff(c_1530,plain,
    ! [B_418,A_419] :
      ( ~ r1_rlvect_1(B_418,k2_group_3(A_419,'#skF_27'(A_419,B_418),'#skF_26'(A_419,B_418)))
      | v1_group_3(B_418,A_419)
      | ~ m1_group_2(B_418,A_419)
      | ~ l1_group_1(A_419)
      | ~ v4_group_1(A_419)
      | ~ v3_group_1(A_419)
      | ~ v1_group_1(A_419)
      | v3_struct_0(A_419) ),
    inference(cnfTransformation,[status(thm)],[f_488]) ).

tff(c_1534,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | ~ m1_group_2('#skF_2','#skF_1')
    | ~ l1_group_1('#skF_1')
    | ~ v4_group_1('#skF_1')
    | ~ v3_group_1('#skF_1')
    | ~ v1_group_1('#skF_1')
    | v3_struct_0('#skF_1')
    | ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_2'))
    | ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_1'))
    | ~ m1_subset_1('#skF_26'('#skF_1','#skF_2'),u1_struct_0('#skF_1')) ),
    inference(resolution,[status(thm)],[c_407,c_1530]) ).

tff(c_1537,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | v3_struct_0('#skF_1')
    | ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_2'))
    | ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_1'))
    | ~ m1_subset_1('#skF_26'('#skF_1','#skF_2'),u1_struct_0('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_1534]) ).

tff(c_1538,plain,
    ( ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_2'))
    | ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_1'))
    | ~ m1_subset_1('#skF_26'('#skF_1','#skF_2'),u1_struct_0('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_12,c_283,c_1537]) ).

tff(c_1539,plain,
    ~ m1_subset_1('#skF_26'('#skF_1','#skF_2'),u1_struct_0('#skF_1')),
    inference(splitLeft,[status(thm)],[c_1538]) ).

tff(c_1542,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | ~ m1_group_2('#skF_2','#skF_1')
    | ~ l1_group_1('#skF_1')
    | ~ v4_group_1('#skF_1')
    | ~ v3_group_1('#skF_1')
    | ~ v1_group_1('#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(resolution,[status(thm)],[c_260,c_1539]) ).

tff(c_1548,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_1542]) ).

tff(c_1550,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12,c_283,c_1548]) ).

tff(c_1551,plain,
    ( ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_1'))
    | ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_2')) ),
    inference(splitRight,[status(thm)],[c_1538]) ).

tff(c_1559,plain,
    ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_2')),
    inference(splitLeft,[status(thm)],[c_1551]) ).

tff(c_1565,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | ~ m1_group_2('#skF_2','#skF_1')
    | ~ l1_group_1('#skF_1')
    | ~ v4_group_1('#skF_1')
    | ~ v3_group_1('#skF_1')
    | ~ v1_group_1('#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(resolution,[status(thm)],[c_256,c_1559]) ).

tff(c_1571,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_1565]) ).

tff(c_1573,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12,c_283,c_1571]) ).

tff(c_1574,plain,
    ~ m1_subset_1('#skF_27'('#skF_1','#skF_2'),u1_struct_0('#skF_1')),
    inference(splitRight,[status(thm)],[c_1551]) ).

tff(c_1584,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | ~ m1_group_2('#skF_2','#skF_1')
    | ~ l1_group_1('#skF_1')
    | ~ v4_group_1('#skF_1')
    | ~ v3_group_1('#skF_1')
    | ~ v1_group_1('#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(resolution,[status(thm)],[c_258,c_1574]) ).

tff(c_1590,plain,
    ( v1_group_3('#skF_2','#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_1584]) ).

tff(c_1592,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12,c_283,c_1590]) ).

tff(c_1594,plain,
    v1_group_3('#skF_2','#skF_1'),
    inference(splitRight,[status(thm)],[c_18]) ).

tff(c_26,plain,
    ( ~ v1_group_3('#skF_2','#skF_1')
    | m1_subset_1('#skF_3',u1_struct_0('#skF_1')) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1596,plain,
    m1_subset_1('#skF_3',u1_struct_0('#skF_1')),
    inference(demodulation,[status(thm),theory(equality)],[c_1594,c_26]) ).

tff(c_22,plain,
    ( ~ v1_group_3('#skF_2','#skF_1')
    | m1_subset_1('#skF_4',u1_struct_0('#skF_1')) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1644,plain,
    m1_subset_1('#skF_4',u1_struct_0('#skF_1')),
    inference(demodulation,[status(thm),theory(equality)],[c_1594,c_22]) ).

tff(c_1593,plain,
    m1_subset_1('#skF_4',u1_struct_0('#skF_2')),
    inference(splitRight,[status(thm)],[c_18]) ).

tff(c_2931,plain,
    ! [B_708,A_709,D_710,C_711] :
      ( r1_rlvect_1(B_708,k2_group_3(A_709,D_710,C_711))
      | ~ m1_subset_1(D_710,u1_struct_0(B_708))
      | ~ m1_subset_1(D_710,u1_struct_0(A_709))
      | ~ m1_subset_1(C_711,u1_struct_0(A_709))
      | ~ v1_group_3(B_708,A_709)
      | ~ m1_group_2(B_708,A_709)
      | ~ l1_group_1(A_709)
      | ~ v4_group_1(A_709)
      | ~ v3_group_1(A_709)
      | ~ v1_group_1(A_709)
      | v3_struct_0(A_709) ),
    inference(cnfTransformation,[status(thm)],[f_514]) ).

tff(c_14,plain,
    ( ~ v1_group_3('#skF_2','#skF_1')
    | ~ r1_rlvect_1('#skF_2',k2_group_3('#skF_1','#skF_4','#skF_3')) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1669,plain,
    ~ r1_rlvect_1('#skF_2',k2_group_3('#skF_1','#skF_4','#skF_3')),
    inference(demodulation,[status(thm),theory(equality)],[c_1594,c_14]) ).

tff(c_2938,plain,
    ( ~ m1_subset_1('#skF_4',u1_struct_0('#skF_2'))
    | ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
    | ~ m1_subset_1('#skF_3',u1_struct_0('#skF_1'))
    | ~ v1_group_3('#skF_2','#skF_1')
    | ~ m1_group_2('#skF_2','#skF_1')
    | ~ l1_group_1('#skF_1')
    | ~ v4_group_1('#skF_1')
    | ~ v3_group_1('#skF_1')
    | ~ v1_group_1('#skF_1')
    | v3_struct_0('#skF_1') ),
    inference(resolution,[status(thm)],[c_2931,c_1669]) ).

tff(c_2942,plain,
    v3_struct_0('#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_1594,c_1596,c_1644,c_1593,c_2938]) ).

tff(c_2944,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12,c_2942]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 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
% 0.14/0.36  % Computer : n013.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 22:03:18 EDT 2023
% 0.22/0.36  % CPUTime  : 
% 9.27/3.18  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.27/3.18  
% 9.27/3.18  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.27/3.21  
% 9.27/3.21  Inference rules
% 9.27/3.21  ----------------------
% 9.27/3.21  #Ref     : 5
% 9.27/3.21  #Sup     : 592
% 9.27/3.21  #Fact    : 0
% 9.27/3.21  #Define  : 0
% 9.27/3.21  #Split   : 17
% 9.27/3.21  #Chain   : 0
% 9.27/3.21  #Close   : 0
% 9.27/3.21  
% 9.27/3.21  Ordering : KBO
% 9.27/3.21  
% 9.27/3.21  Simplification rules
% 9.27/3.22  ----------------------
% 9.27/3.22  #Subsume      : 250
% 9.27/3.22  #Demod        : 157
% 9.27/3.22  #Tautology    : 115
% 9.27/3.22  #SimpNegUnit  : 64
% 9.27/3.22  #BackRed      : 33
% 9.27/3.22  
% 9.27/3.22  #Partial instantiations: 0
% 9.27/3.22  #Strategies tried      : 1
% 9.27/3.22  
% 9.27/3.22  Timing (in seconds)
% 9.27/3.22  ----------------------
% 9.27/3.22  Preprocessing        : 0.64
% 9.27/3.22  Parsing              : 0.34
% 9.27/3.22  CNF conversion       : 0.06
% 9.27/3.22  Main loop            : 1.35
% 9.27/3.22  Inferencing          : 0.59
% 9.27/3.22  Reduction            : 0.37
% 9.27/3.22  Demodulation         : 0.25
% 9.27/3.22  BG Simplification    : 0.05
% 9.27/3.22  Subsumption          : 0.24
% 9.27/3.22  Abstraction          : 0.03
% 9.27/3.22  MUC search           : 0.00
% 9.27/3.22  Cooper               : 0.00
% 9.27/3.22  Total                : 2.04
% 9.27/3.22  Index Insertion      : 0.00
% 9.27/3.22  Index Deletion       : 0.00
% 9.27/3.22  Index Matching       : 0.00
% 9.27/3.22  BG Taut test         : 0.00
%------------------------------------------------------------------------------