TSTP Solution File: ITP020+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ITP020+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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 : n001.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 10:43:20 EDT 2023

% Result   : Theorem 26.31s 10.65s
% Output   : CNFRefutation 26.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   64
% Syntax   : Number of formulae    :   73 (  10 unt;  59 typ;   0 def)
%            Number of atoms       :   24 (   6 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   17 (   7   ~;   2   |;   3   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  107 (  41   >;  66   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   58 (  58 usr;  18 con; 0-4 aty)
%            Number of variables   :   17 (;  13   !;   4   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p > c_2Epred__set_2EBIJ_2E3 > tyop_2Epair_2Eprod > tyop_2Emin_2Efun > s > c_2Epred__set_2ECROSS_2E2 > c_2Emin_2E_3D_3D_3E_2E2 > c_2Emin_2E_3D_2E2 > c_2Ebool_2E_5C_2F_2E2 > c_2Ebool_2E_2F_5C_2E2 > app_2E2 > #nlpp > c_2Ebool_2E_7E_2E1 > c_2Ebool_2E_3F_2E1 > c_2Ebool_2E_21_2E1 > tyop_2Enum_2Enum > tyop_2Emin_2Ebool > combin_s_2E0 > combin_k_2E0 > combin_i_2E0 > c_2Epred__set_2EUNIV_2E0 > c_2Epred__set_2ECROSS_2E0 > c_2Epred__set_2EBIJ_2E0 > c_2Emin_2E_3D_3D_3E_2E0 > c_2Emin_2E_3D_2E0 > c_2Ebool_2E_7E_2E0 > c_2Ebool_2E_5C_2F_2E0 > c_2Ebool_2E_3F_2E0 > c_2Ebool_2E_2F_5C_2E0 > c_2Ebool_2E_21_2E0 > c_2Ebool_2ET_2E0 > c_2Ebool_2EF_2E0 > #skF_13 > #skF_24 > #skF_17 > #skF_27 > #skF_6 > #skF_18 > #skF_12 > #skF_3 > #skF_26 > #skF_19 > #skF_11 > #skF_7 > #skF_9 > #skF_20 > #skF_15 > #skF_14 > #skF_28 > #skF_2 > #skF_8 > #skF_25 > #skF_1 > #skF_21 > #skF_5 > #skF_22 > #skF_4 > #skF_23 > #skF_16 > #skF_10

%Foreground sorts:

%Background operators:

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

tff(c_2Ebool_2E_21_2E0,type,
    c_2Ebool_2E_21_2E0: $i ).

tff(c_2Epred__set_2EBIJ_2E0,type,
    c_2Epred__set_2EBIJ_2E0: $i ).

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

tff(app_2E2,type,
    app_2E2: ( $i * $i ) > $i ).

tff(c_2Ebool_2E_2F_5C_2E2,type,
    c_2Ebool_2E_2F_5C_2E2: ( $i * $i ) > $i ).

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

tff(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: $i ).

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

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

tff(c_2Ebool_2E_7E_2E0,type,
    c_2Ebool_2E_7E_2E0: $i ).

tff(c_2Emin_2E_3D_3D_3E_2E0,type,
    c_2Emin_2E_3D_3D_3E_2E0: $i ).

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

tff(c_2Emin_2E_3D_3D_3E_2E2,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( $i * $i ) > $i ).

tff(tyop_2Enum_2Enum,type,
    tyop_2Enum_2Enum: $i ).

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

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

tff(c_2Epred__set_2EBIJ_2E3,type,
    c_2Epred__set_2EBIJ_2E3: ( $i * $i * $i ) > $i ).

tff(tyop_2Epair_2Eprod,type,
    tyop_2Epair_2Eprod: ( $i * $i ) > $i ).

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

tff(c_2Emin_2E_3D_2E2,type,
    c_2Emin_2E_3D_2E2: ( $i * $i ) > $i ).

tff(c_2Ebool_2E_5C_2F_2E2,type,
    c_2Ebool_2E_5C_2F_2E2: ( $i * $i ) > $i ).

tff(combin_s_2E0,type,
    combin_s_2E0: $i ).

tff(c_2Epred__set_2ECROSS_2E2,type,
    c_2Epred__set_2ECROSS_2E2: ( $i * $i ) > $i ).

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

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

tff(c_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: $i ).

tff(tyop_2Emin_2Efun,type,
    tyop_2Emin_2Efun: ( $i * $i ) > $i ).

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

tff(c_2Epred__set_2EUNIV_2E0,type,
    c_2Epred__set_2EUNIV_2E0: $i ).

tff(c_2Ebool_2ET_2E0,type,
    c_2Ebool_2ET_2E0: $i ).

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

tff(c_2Ebool_2E_3F_2E0,type,
    c_2Ebool_2E_3F_2E0: $i ).

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

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

tff(c_2Ebool_2E_3F_2E1,type,
    c_2Ebool_2E_3F_2E1: $i > $i ).

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

tff(c_2Epred__set_2ECROSS_2E0,type,
    c_2Epred__set_2ECROSS_2E0: $i ).

tff(c_2Ebool_2E_7E_2E1,type,
    c_2Ebool_2E_7E_2E1: $i > $i ).

tff(c_2Emin_2E_3D_2E0,type,
    c_2Emin_2E_3D_2E0: $i ).

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

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

tff('#skF_28',type,
    '#skF_28': $i ).

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

tff(c_2Ebool_2E_21_2E1,type,
    c_2Ebool_2E_21_2E1: $i > $i ).

tff(combin_i_2E0,type,
    combin_i_2E0: $i ).

tff(c_2Ebool_2E_5C_2F_2E0,type,
    c_2Ebool_2E_5C_2F_2E0: $i ).

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

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

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

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

tff(c_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: $i ).

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

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

tff(combin_k_2E0,type,
    combin_k_2E0: $i ).

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

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

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

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

tff(f_41,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).

tff(f_223,axiom,
    ! [V0t_2E0] :
      ( ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) )
      <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
      <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) )
      <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
      & ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
      <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).

tff(f_512,negated_conjecture,
    ~ ? [V0f_2E0] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),V0f_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).

tff(f_509,axiom,
    ? [V0f_2E0] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),V0f_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ) ).

tff(f_333,axiom,
    ! [A_27a,A_27b,V0s_2E0,V1t_2E0] :
      ( ? [V2f_2E0] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(A_27a,A_27b),V2f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))
    <=> ? [V3g_2E0] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(A_27b,A_27a),V3g_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Epred__set_2EBIJ__SYM) ).

tff(c_14,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_172,plain,
    ! [V0t_2E0_82] :
      ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0_82) )
      | p(s(tyop_2Emin_2Ebool,V0t_2E0_82)) ),
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_1068,plain,
    ! [V0f_2E0_225] : ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),V0f_2E0_225),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
    inference(cnfTransformation,[status(thm)],[f_512]) ).

tff(c_1076,plain,
    ! [V0f_2E0_225] : ( s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),V0f_2E0_225),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(resolution,[status(thm)],[c_172,c_1068]) ).

tff(c_1012,plain,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),'#skF_28'),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
    inference(cnfTransformation,[status(thm)],[f_509]) ).

tff(c_85987,plain,
    ! [A_27b_487,V1t_2E0_491,V3g_2E0_489,V0s_2E0_490,A_27a_488] :
      ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(A_27a_488,A_27b_487),'#skF_26'(A_27a_488,A_27b_487,V0s_2E0_490,V1t_2E0_491)),s(tyop_2Emin_2Efun(A_27a_488,tyop_2Emin_2Ebool),V0s_2E0_490),s(tyop_2Emin_2Efun(A_27b_487,tyop_2Emin_2Ebool),V1t_2E0_491))))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(A_27b_487,A_27a_488),V3g_2E0_489),s(tyop_2Emin_2Efun(A_27b_487,tyop_2Emin_2Ebool),V1t_2E0_491),s(tyop_2Emin_2Efun(A_27a_488,tyop_2Emin_2Ebool),V0s_2E0_490)))) ),
    inference(cnfTransformation,[status(thm)],[f_333]) ).

tff(c_85989,plain,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),'#skF_26'(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Epred__set_2EUNIV_2E0,c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
    inference(resolution,[status(thm)],[c_1012,c_85987]) ).

tff(c_86062,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(demodulation,[status(thm),theory(equality)],[c_1076,c_85989]) ).

tff(c_86064,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14,c_86062]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : ITP020+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.15  % 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 : n001.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 19:32:55 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 26.31/10.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.31/10.66  
% 26.31/10.66  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.31/10.68  
% 26.31/10.68  Inference rules
% 26.31/10.68  ----------------------
% 26.31/10.68  #Ref     : 5
% 26.31/10.68  #Sup     : 22409
% 26.31/10.68  #Fact    : 7
% 26.31/10.68  #Define  : 0
% 26.31/10.68  #Split   : 9
% 26.31/10.68  #Chain   : 0
% 26.31/10.68  #Close   : 0
% 26.31/10.68  
% 26.31/10.68  Ordering : KBO
% 26.31/10.68  
% 26.31/10.68  Simplification rules
% 26.31/10.68  ----------------------
% 26.31/10.68  #Subsume      : 11603
% 26.31/10.68  #Demod        : 24341
% 26.31/10.68  #Tautology    : 8488
% 26.31/10.68  #SimpNegUnit  : 4105
% 26.31/10.68  #BackRed      : 244
% 26.31/10.68  
% 26.31/10.68  #Partial instantiations: 0
% 26.31/10.68  #Strategies tried      : 1
% 26.31/10.68  
% 26.31/10.68  Timing (in seconds)
% 26.31/10.68  ----------------------
% 26.31/10.69  Preprocessing        : 0.93
% 26.31/10.69  Parsing              : 0.43
% 26.31/10.69  CNF conversion       : 0.10
% 26.31/10.69  Main loop            : 8.68
% 26.31/10.69  Inferencing          : 1.43
% 26.31/10.69  Reduction            : 5.51
% 26.31/10.69  Demodulation         : 4.84
% 26.31/10.69  BG Simplification    : 0.17
% 26.31/10.69  Subsumption          : 1.32
% 26.31/10.69  Abstraction          : 0.28
% 26.31/10.69  MUC search           : 0.00
% 26.31/10.69  Cooper               : 0.00
% 26.31/10.69  Total                : 9.65
% 26.31/10.69  Index Insertion      : 0.00
% 26.31/10.69  Index Deletion       : 0.00
% 26.31/10.69  Index Matching       : 0.00
% 26.31/10.69  BG Taut test         : 0.00
%------------------------------------------------------------------------------