TSTP Solution File: PUZ062-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ062-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n004.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 10:54:09 EDT 2023

% Result   : Unsatisfiable 3.39s 1.91s
% Output   : CNFRefutation 3.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   73 (  31 unt;  21 typ;   0 def)
%            Number of atoms       :   81 (  17 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  34   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  10   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  11 con; 0-4 aty)
%            Number of variables   :   55 (;  55   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_Pair > c_inter > c_insert > tc_prod > c_Mutil_Otiling > c_Finite__Set_Ocard > #nlpp > tc_set > c_Suc > c_Mutil_Ocoloured > v_t > v_n > v_m > v_j > v_i > v_a > tc_nat > c_emptyset > c_Mutil_Odomino > c_Finite__Set_OFinites > c_0

%Foreground sorts:

%Background operators:

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

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

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

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

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

tff(c_0,type,
    c_0: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_57,axiom,
    ! [V_x,V_A,T_a] : c_in(V_x,c_insert(V_x,V_A,T_a),T_a),
    file(unknown,unknown) ).

tff(f_65,axiom,
    c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
      | c_in(V_c,V_B,T_a) ),
    file(unknown,unknown) ).

tff(f_64,axiom,
    c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
    file(unknown,unknown) ).

tff(f_63,axiom,
    c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat)) = c_emptyset,
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [V_G,T_a,V_F] :
      ( ~ c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a))
      | c_in(c_inter(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    c_in(v_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [V_t] :
      ( ~ c_in(V_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat)))
      | c_in(V_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ! [V_A,T_a,V_x] :
      ( ~ c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))
      | c_in(V_x,V_A,T_a)
      | ( c_Finite__Set_Ocard(c_insert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(V_A,T_a)) ) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) = c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    file(unknown,unknown) ).

tff(f_67,axiom,
    c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [V_c,T_a] : ~ c_in(V_c,c_emptyset,T_a),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [V_c,V_B,T_a,V_A] :
      ( ~ c_in(V_c,V_B,T_a)
      | ~ c_in(V_c,V_A,T_a)
      | c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
    file(unknown,unknown) ).

tff(c_12,plain,
    ! [V_x_16,V_A_17,T_a_18] : c_in(V_x_16,c_insert(V_x_16,V_A_17,T_a_18),T_a_18),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_24,plain,
    c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_8,plain,
    ! [V_c_8,V_B_10,T_a_11,V_A_9] :
      ( c_in(V_c_8,V_B_10,T_a_11)
      | ~ c_in(V_c_8,c_inter(V_A_9,V_B_10,T_a_11),T_a_11) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_142,plain,
    ! [V_c_50] :
      ( c_in(V_c_50,v_a,tc_prod(tc_nat,tc_nat))
      | ~ c_in(V_c_50,c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_8]) ).

tff(c_147,plain,
    c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),v_a,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[status(thm)],[c_12,c_142]) ).

tff(c_22,plain,
    c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_136,plain,
    ! [V_c_49] :
      ( c_in(V_c_49,v_a,tc_prod(tc_nat,tc_nat))
      | ~ c_in(V_c_49,c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_8]) ).

tff(c_141,plain,
    c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),v_a,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[status(thm)],[c_12,c_136]) ).

tff(c_20,plain,
    c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat)) = c_emptyset,
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_37,plain,
    ! [V_F_30,V_G_31,T_a_32] :
      ( c_in(c_inter(V_F_30,V_G_31,T_a_32),c_Finite__Set_OFinites,tc_set(T_a_32))
      | ~ c_in(V_G_31,c_Finite__Set_OFinites,tc_set(T_a_32)) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_40,plain,
    ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_37]) ).

tff(c_41,plain,
    ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))),
    inference(splitLeft,[status(thm)],[c_40]) ).

tff(c_16,plain,
    c_in(v_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_65,plain,
    ! [V_t_38] :
      ( c_in(V_t_38,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
      | ~ c_in(V_t_38,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_68,plain,
    c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))),
    inference(resolution,[status(thm)],[c_16,c_65]) ).

tff(c_72,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_41,c_68]) ).

tff(c_74,plain,
    c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))),
    inference(splitRight,[status(thm)],[c_40]) ).

tff(c_4,plain,
    ! [V_F_6,V_G_4,T_a_5] :
      ( c_in(c_inter(V_F_6,V_G_4,T_a_5),c_Finite__Set_OFinites,tc_set(T_a_5))
      | ~ c_in(V_G_4,c_Finite__Set_OFinites,tc_set(T_a_5)) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_117,plain,
    ! [V_x_45,V_A_46,T_a_47] :
      ( ( c_Finite__Set_Ocard(c_insert(V_x_45,V_A_46,T_a_47),T_a_47) = c_Suc(c_Finite__Set_Ocard(V_A_46,T_a_47)) )
      | c_in(V_x_45,V_A_46,T_a_47)
      | ~ c_in(V_A_46,c_Finite__Set_OFinites,tc_set(T_a_47)) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_128,plain,
    ! [V_x_45,V_F_6,V_G_4,T_a_5] :
      ( ( c_Finite__Set_Ocard(c_insert(V_x_45,c_inter(V_F_6,V_G_4,T_a_5),T_a_5),T_a_5) = c_Suc(c_Finite__Set_Ocard(c_inter(V_F_6,V_G_4,T_a_5),T_a_5)) )
      | c_in(V_x_45,c_inter(V_F_6,V_G_4,T_a_5),T_a_5)
      | ~ c_in(V_G_4,c_Finite__Set_OFinites,tc_set(T_a_5)) ),
    inference(resolution,[status(thm)],[c_4,c_117]) ).

tff(c_18,plain,
    c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) = c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_162,plain,
    ! [V_x_52,V_F_53,V_G_54,T_a_55] :
      ( ( c_Finite__Set_Ocard(c_insert(V_x_52,c_inter(V_F_53,V_G_54,T_a_55),T_a_55),T_a_55) = c_Suc(c_Finite__Set_Ocard(c_inter(V_F_53,V_G_54,T_a_55),T_a_55)) )
      | c_in(V_x_52,c_inter(V_F_53,V_G_54,T_a_55),T_a_55)
      | ~ c_in(V_G_54,c_Finite__Set_OFinites,tc_set(T_a_55)) ),
    inference(resolution,[status(thm)],[c_4,c_117]) ).

tff(c_26,plain,
    c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_168,plain,
    ( ( c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Suc(c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))) )
    | c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))
    | ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(superposition,[status(thm),theory(equality)],[c_162,c_26]) ).

tff(c_183,plain,
    ( ( c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Suc(c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))) )
    | c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_74,c_18,c_168]) ).

tff(c_200,plain,
    c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Suc(c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))),
    inference(splitLeft,[status(thm)],[c_183]) ).

tff(c_203,plain,
    ( c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))
    | ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(superposition,[status(thm),theory(equality)],[c_128,c_200]) ).

tff(c_206,plain,
    c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    inference(demodulation,[status(thm),theory(equality)],[c_74,c_203]) ).

tff(c_210,plain,
    c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[status(thm)],[c_206,c_8]) ).

tff(c_14,plain,
    ! [V_c_19,T_a_20] : ~ c_in(V_c_19,c_emptyset,T_a_20),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_75,plain,
    ! [V_c_39,V_A_40,V_B_41,T_a_42] :
      ( c_in(V_c_39,c_inter(V_A_40,V_B_41,T_a_42),T_a_42)
      | ~ c_in(V_c_39,V_A_40,T_a_42)
      | ~ c_in(V_c_39,V_B_41,T_a_42) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_81,plain,
    ! [V_c_39] :
      ( c_in(V_c_39,c_emptyset,tc_prod(tc_nat,tc_nat))
      | ~ c_in(V_c_39,v_a,tc_prod(tc_nat,tc_nat))
      | ~ c_in(V_c_39,v_t,tc_prod(tc_nat,tc_nat)) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_75]) ).

tff(c_83,plain,
    ! [V_c_39] :
      ( ~ c_in(V_c_39,v_a,tc_prod(tc_nat,tc_nat))
      | ~ c_in(V_c_39,v_t,tc_prod(tc_nat,tc_nat)) ),
    inference(negUnitSimplification,[status(thm)],[c_14,c_81]) ).

tff(c_213,plain,
    ~ c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),v_a,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[status(thm)],[c_210,c_83]) ).

tff(c_217,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_141,c_213]) ).

tff(c_218,plain,
    c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    inference(splitRight,[status(thm)],[c_183]) ).

tff(c_223,plain,
    c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[status(thm)],[c_218,c_8]) ).

tff(c_226,plain,
    ~ c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),v_a,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[status(thm)],[c_223,c_83]) ).

tff(c_230,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_147,c_226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ062-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % 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
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug  3 17:30:56 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 3.39/1.91  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.92  
% 3.39/1.92  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.71/1.95  
% 3.71/1.95  Inference rules
% 3.71/1.95  ----------------------
% 3.71/1.95  #Ref     : 0
% 3.71/1.95  #Sup     : 49
% 3.71/1.95  #Fact    : 0
% 3.71/1.95  #Define  : 0
% 3.71/1.95  #Split   : 3
% 3.71/1.95  #Chain   : 0
% 3.71/1.95  #Close   : 0
% 3.71/1.95  
% 3.71/1.95  Ordering : KBO
% 3.71/1.95  
% 3.71/1.95  Simplification rules
% 3.71/1.95  ----------------------
% 3.71/1.95  #Subsume      : 4
% 3.71/1.95  #Demod        : 16
% 3.71/1.95  #Tautology    : 22
% 3.71/1.95  #SimpNegUnit  : 5
% 3.71/1.95  #BackRed      : 0
% 3.71/1.95  
% 3.71/1.95  #Partial instantiations: 0
% 3.71/1.95  #Strategies tried      : 1
% 3.71/1.95  
% 3.71/1.95  Timing (in seconds)
% 3.71/1.95  ----------------------
% 3.71/1.96  Preprocessing        : 0.49
% 3.71/1.96  Parsing              : 0.26
% 3.71/1.96  CNF conversion       : 0.02
% 3.71/1.96  Main loop            : 0.33
% 3.71/1.96  Inferencing          : 0.14
% 3.71/1.96  Reduction            : 0.10
% 3.71/1.96  Demodulation         : 0.07
% 3.71/1.96  BG Simplification    : 0.01
% 3.71/1.96  Subsumption          : 0.06
% 3.71/1.96  Abstraction          : 0.01
% 3.71/1.96  MUC search           : 0.00
% 3.71/1.96  Cooper               : 0.00
% 3.71/1.96  Total                : 0.88
% 3.71/1.96  Index Insertion      : 0.00
% 3.71/1.96  Index Deletion       : 0.00
% 3.71/1.96  Index Matching       : 0.00
% 3.71/1.96  BG Taut test         : 0.00
%------------------------------------------------------------------------------