TSTP Solution File: SYN353-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN353-1 : 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 : n023.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 11:10:35 EDT 2023

% Result   : Unsatisfiable 5.30s 2.31s
% Output   : CNFRefutation 5.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   73 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :  189 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  188 (  69   ~; 119   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   2   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-3 aty)
%            Number of variables   :  151 (; 151   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ f > z > #nlpp > a

%Foreground sorts:

%Background operators:

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

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

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

tff(f_56,axiom,
    ! [Y3,Y1,Y2] :
      ( f(Y3,Y1,Y2)
      | f(Y2,Y1,z(Y1,Y2,Y3)) ),
    file(unknown,unknown) ).

tff(f_36,axiom,
    ! [Y1,Y2,Y3] :
      ( ~ f(Y1,Y2,Y3)
      | ~ f(a,a,z(Y1,Y2,Y3))
      | f(Y2,Y3,Y1)
      | f(Y3,Y1,Y2) ),
    file(unknown,unknown) ).

tff(f_84,axiom,
    ! [Y2,Y3,Y1] :
      ( f(Y2,Y3,Y1)
      | f(Y1,z(Y1,Y2,Y3),Y2) ),
    file(unknown,unknown) ).

tff(f_99,axiom,
    ! [Y3,Y1,Y2] :
      ( f(Y3,Y1,Y2)
      | f(Y1,Y2,Y3)
      | ~ f(z(Y1,Y2,Y3),Y2,Y1) ),
    file(unknown,unknown) ).

tff(f_80,axiom,
    ! [Y2,Y3,Y1] :
      ( ~ f(Y2,Y3,Y1)
      | f(Y3,Y1,Y2)
      | ~ f(Y1,z(Y1,Y2,Y3),Y2) ),
    file(unknown,unknown) ).

tff(f_114,axiom,
    ! [Y3,Y1,Y2] :
      ( ~ f(Y3,Y1,Y2)
      | ~ f(Y2,Y3,Y1)
      | f(z(Y1,Y2,Y3),Y2,Y1) ),
    file(unknown,unknown) ).

tff(f_106,axiom,
    ! [Y2,Y3,Y1] :
      ( f(Y2,Y3,Y1)
      | f(Y1,Y2,Y3)
      | ~ f(z(Y1,Y2,Y3),Y2,Y1) ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [Y3,Y1,Y2] :
      ( ~ f(Y3,Y1,Y2)
      | f(Y1,Y2,Y3)
      | ~ f(Y2,Y1,z(Y1,Y2,Y3)) ),
    file(unknown,unknown) ).

tff(f_72,axiom,
    ! [Y2,Y3,Y1] :
      ( ~ f(Y2,Y3,Y1)
      | f(Y1,Y2,Y3)
      | ~ f(Y1,z(Y1,Y2,Y3),Y2) ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [Y3,Y1,Y2] :
      ( ~ f(Y3,Y1,Y2)
      | f(Y2,Y3,Y1)
      | ~ f(Y2,Y1,z(Y1,Y2,Y3)) ),
    file(unknown,unknown) ).

tff(f_143,axiom,
    ! [Y1,Y2,Y3] :
      ( ~ f(Y1,Y2,Y3)
      | ~ f(Y2,Y3,Y1)
      | ~ f(Y3,Y1,Y2)
      | ~ f(z(Y1,Y2,Y3),z(Y1,Y2,Y3),z(Y1,Y2,Y3)) ),
    file(unknown,unknown) ).

tff(c_8,plain,
    ! [Y2_12,Y1_11,Y3_10] :
      ( f(Y2_12,Y1_11,z(Y1_11,Y2_12,Y3_10))
      | f(Y3_10,Y1_11,Y2_12) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_98,plain,
    ! [Y3_97,Y1_98,Y2_99] :
      ( f(Y3_97,Y1_98,Y2_99)
      | f(Y2_99,Y3_97,Y1_98)
      | ~ f(a,a,z(Y1_98,Y2_99,Y3_97))
      | ~ f(Y1_98,Y2_99,Y3_97) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_109,plain,
    ! [Y3_100] :
      ( f(a,Y3_100,a)
      | ~ f(a,a,Y3_100)
      | f(Y3_100,a,a) ),
    inference(resolution,[status(thm)],[c_8,c_98]) ).

tff(c_117,plain,
    ! [Y3_10] :
      ( f(a,z(a,a,Y3_10),a)
      | f(z(a,a,Y3_10),a,a)
      | f(Y3_10,a,a) ),
    inference(resolution,[status(thm)],[c_8,c_109]) ).

tff(c_16,plain,
    ! [Y1_24,Y2_22,Y3_23] :
      ( f(Y1_24,z(Y1_24,Y2_22,Y3_23),Y2_22)
      | f(Y2_22,Y3_23,Y1_24) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_118,plain,
    ! [Y3_101] :
      ( f(a,z(a,a,Y3_101),a)
      | f(z(a,a,Y3_101),a,a)
      | f(Y3_101,a,a) ),
    inference(resolution,[status(thm)],[c_8,c_109]) ).

tff(c_20,plain,
    ! [Y1_29,Y2_30,Y3_28] :
      ( ~ f(z(Y1_29,Y2_30,Y3_28),Y2_30,Y1_29)
      | f(Y1_29,Y2_30,Y3_28)
      | f(Y3_28,Y1_29,Y2_30) ),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_127,plain,
    ! [Y3_102] :
      ( f(a,a,Y3_102)
      | f(a,z(a,a,Y3_102),a)
      | f(Y3_102,a,a) ),
    inference(resolution,[status(thm)],[c_118,c_20]) ).

tff(c_14,plain,
    ! [Y1_21,Y2_19,Y3_20] :
      ( ~ f(Y1_21,z(Y1_21,Y2_19,Y3_20),Y2_19)
      | f(Y3_20,Y1_21,Y2_19)
      | ~ f(Y2_19,Y3_20,Y1_21) ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_149,plain,
    ! [Y3_106] :
      ( ~ f(a,Y3_106,a)
      | f(a,a,Y3_106)
      | f(Y3_106,a,a) ),
    inference(resolution,[status(thm)],[c_127,c_14]) ).

tff(c_160,plain,
    ! [Y3_23] :
      ( f(a,a,z(a,a,Y3_23))
      | f(z(a,a,Y3_23),a,a)
      | f(a,Y3_23,a) ),
    inference(resolution,[status(thm)],[c_16,c_149]) ).

tff(c_24,plain,
    ! [Y1_35,Y2_36,Y3_34] :
      ( f(z(Y1_35,Y2_36,Y3_34),Y2_36,Y1_35)
      | ~ f(Y2_36,Y3_34,Y1_35)
      | ~ f(Y3_34,Y1_35,Y2_36) ),
    inference(cnfTransformation,[status(thm)],[f_114]) ).

tff(c_161,plain,
    ! [Y3_107] :
      ( f(a,a,z(a,a,Y3_107))
      | f(z(a,a,Y3_107),a,a)
      | f(a,Y3_107,a) ),
    inference(resolution,[status(thm)],[c_16,c_149]) ).

tff(c_22,plain,
    ! [Y1_33,Y2_31,Y3_32] :
      ( ~ f(z(Y1_33,Y2_31,Y3_32),Y2_31,Y1_33)
      | f(Y1_33,Y2_31,Y3_32)
      | f(Y2_31,Y3_32,Y1_33) ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_170,plain,
    ! [Y3_108] :
      ( f(a,a,Y3_108)
      | f(a,a,z(a,a,Y3_108))
      | f(a,Y3_108,a) ),
    inference(resolution,[status(thm)],[c_161,c_22]) ).

tff(c_4,plain,
    ! [Y2_6,Y1_5,Y3_4] :
      ( ~ f(Y2_6,Y1_5,z(Y1_5,Y2_6,Y3_4))
      | f(Y1_5,Y2_6,Y3_4)
      | ~ f(Y3_4,Y1_5,Y2_6) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_186,plain,
    ! [Y3_109] :
      ( ~ f(Y3_109,a,a)
      | f(a,a,Y3_109)
      | f(a,Y3_109,a) ),
    inference(resolution,[status(thm)],[c_170,c_4]) ).

tff(c_213,plain,
    ! [Y3_111] :
      ( f(a,a,z(a,a,Y3_111))
      | f(a,z(a,a,Y3_111),a)
      | ~ f(a,Y3_111,a)
      | ~ f(Y3_111,a,a) ),
    inference(resolution,[status(thm)],[c_24,c_186]) ).

tff(c_12,plain,
    ! [Y1_18,Y2_16,Y3_17] :
      ( ~ f(Y1_18,z(Y1_18,Y2_16,Y3_17),Y2_16)
      | f(Y1_18,Y2_16,Y3_17)
      | ~ f(Y2_16,Y3_17,Y1_18) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_225,plain,
    ! [Y3_112] :
      ( f(a,a,Y3_112)
      | f(a,a,z(a,a,Y3_112))
      | ~ f(a,Y3_112,a)
      | ~ f(Y3_112,a,a) ),
    inference(resolution,[status(thm)],[c_213,c_12]) ).

tff(c_241,plain,
    ! [Y3_113] :
      ( f(a,a,Y3_113)
      | ~ f(a,Y3_113,a)
      | ~ f(Y3_113,a,a) ),
    inference(resolution,[status(thm)],[c_225,c_4]) ).

tff(c_309,plain,
    ! [Y3_117] :
      ( f(a,a,z(a,a,Y3_117))
      | ~ f(z(a,a,Y3_117),a,a)
      | f(a,Y3_117,a) ),
    inference(resolution,[status(thm)],[c_16,c_241]) ).

tff(c_347,plain,
    ! [Y3_119] :
      ( f(a,a,z(a,a,Y3_119))
      | f(a,Y3_119,a) ),
    inference(resolution,[status(thm)],[c_160,c_309]) ).

tff(c_6,plain,
    ! [Y2_9,Y1_8,Y3_7] :
      ( ~ f(Y2_9,Y1_8,z(Y1_8,Y2_9,Y3_7))
      | f(Y2_9,Y3_7,Y1_8)
      | ~ f(Y3_7,Y1_8,Y2_9) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_363,plain,
    ! [Y3_120] :
      ( ~ f(Y3_120,a,a)
      | f(a,Y3_120,a) ),
    inference(resolution,[status(thm)],[c_347,c_6]) ).

tff(c_372,plain,
    ! [Y3_10] :
      ( f(a,z(a,a,Y3_10),a)
      | f(Y3_10,a,a) ),
    inference(resolution,[status(thm)],[c_117,c_363]) ).

tff(c_375,plain,
    ! [Y3_121] :
      ( f(a,z(a,a,Y3_121),a)
      | f(Y3_121,a,a) ),
    inference(resolution,[status(thm)],[c_117,c_363]) ).

tff(c_390,plain,
    ! [Y3_122] :
      ( ~ f(a,Y3_122,a)
      | f(Y3_122,a,a) ),
    inference(resolution,[status(thm)],[c_375,c_14]) ).

tff(c_420,plain,
    ! [Y3_124] :
      ( f(z(a,a,Y3_124),a,a)
      | f(Y3_124,a,a) ),
    inference(resolution,[status(thm)],[c_372,c_390]) ).

tff(c_450,plain,
    ! [Y3_125] :
      ( f(a,a,Y3_125)
      | f(Y3_125,a,a) ),
    inference(resolution,[status(thm)],[c_420,c_20]) ).

tff(c_108,plain,
    ! [Y3_10] :
      ( f(a,Y3_10,a)
      | ~ f(a,a,Y3_10)
      | f(Y3_10,a,a) ),
    inference(resolution,[status(thm)],[c_8,c_98]) ).

tff(c_516,plain,
    ! [Y3_126] :
      ( f(a,Y3_126,a)
      | f(Y3_126,a,a) ),
    inference(resolution,[status(thm)],[c_450,c_108]) ).

tff(c_362,plain,
    ! [Y3_119] :
      ( ~ f(Y3_119,a,a)
      | f(a,Y3_119,a) ),
    inference(resolution,[status(thm)],[c_347,c_6]) ).

tff(c_543,plain,
    ! [Y3_126] : f(a,Y3_126,a),
    inference(resolution,[status(thm)],[c_516,c_362]) ).

tff(c_575,plain,
    ! [Y3_128] : f(a,Y3_128,a),
    inference(resolution,[status(thm)],[c_516,c_362]) ).

tff(c_583,plain,
    ! [Y3_17] :
      ( f(a,a,Y3_17)
      | ~ f(a,Y3_17,a) ),
    inference(resolution,[status(thm)],[c_575,c_12]) ).

tff(c_589,plain,
    ! [Y3_17] : f(a,a,Y3_17),
    inference(demodulation,[status(thm),theory(equality)],[c_543,c_583]) ).

tff(c_2,plain,
    ! [Y3_3,Y1_1,Y2_2] :
      ( f(Y3_3,Y1_1,Y2_2)
      | f(Y2_2,Y3_3,Y1_1)
      | ~ f(a,a,z(Y1_1,Y2_2,Y3_3))
      | ~ f(Y1_1,Y2_2,Y3_3) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_620,plain,
    ! [Y3_130,Y1_131,Y2_132] :
      ( f(Y3_130,Y1_131,Y2_132)
      | f(Y2_132,Y3_130,Y1_131)
      | ~ f(Y1_131,Y2_132,Y3_130) ),
    inference(demodulation,[status(thm),theory(equality)],[c_589,c_2]) ).

tff(c_765,plain,
    ! [Y1_145,Y2_146,Y3_147] :
      ( f(z(Y1_145,Y2_146,Y3_147),Y2_146,Y1_145)
      | f(Y1_145,z(Y1_145,Y2_146,Y3_147),Y2_146)
      | f(Y3_147,Y1_145,Y2_146) ),
    inference(resolution,[status(thm)],[c_8,c_620]) ).

tff(c_775,plain,
    ! [Y1_145,Y2_146,Y3_147] :
      ( f(Y1_145,Y2_146,Y3_147)
      | f(Y1_145,z(Y1_145,Y2_146,Y3_147),Y2_146)
      | f(Y3_147,Y1_145,Y2_146) ),
    inference(resolution,[status(thm)],[c_765,c_20]) ).

tff(c_789,plain,
    ! [Y1_151,Y2_152,Y3_153] :
      ( f(Y1_151,z(Y1_151,Y2_152,Y3_153),Y2_152)
      | f(Y2_152,Y1_151,z(Y1_151,Y2_152,Y3_153))
      | ~ f(Y2_152,Y3_153,Y1_151)
      | ~ f(Y3_153,Y1_151,Y2_152) ),
    inference(resolution,[status(thm)],[c_24,c_620]) ).

tff(c_812,plain,
    ! [Y1_154,Y2_155,Y3_156] :
      ( f(Y1_154,Y2_155,Y3_156)
      | f(Y2_155,Y1_154,z(Y1_154,Y2_155,Y3_156))
      | ~ f(Y2_155,Y3_156,Y1_154)
      | ~ f(Y3_156,Y1_154,Y2_155) ),
    inference(resolution,[status(thm)],[c_789,c_12]) ).

tff(c_836,plain,
    ! [Y1_160,Y2_161,Y3_162] :
      ( f(Y1_160,Y2_161,Y3_162)
      | ~ f(Y2_161,Y3_162,Y1_160)
      | ~ f(Y3_162,Y1_160,Y2_161) ),
    inference(resolution,[status(thm)],[c_812,c_4]) ).

tff(c_955,plain,
    ! [Y1_172,Y2_173,Y3_174] :
      ( f(z(Y1_172,Y2_173,Y3_174),Y2_173,Y1_172)
      | ~ f(Y1_172,z(Y1_172,Y2_173,Y3_174),Y2_173)
      | f(Y3_174,Y1_172,Y2_173) ),
    inference(resolution,[status(thm)],[c_8,c_836]) ).

tff(c_970,plain,
    ! [Y1_175,Y2_176,Y3_177] :
      ( f(Y1_175,Y2_176,Y3_177)
      | ~ f(Y1_175,z(Y1_175,Y2_176,Y3_177),Y2_176)
      | f(Y3_177,Y1_175,Y2_176) ),
    inference(resolution,[status(thm)],[c_955,c_20]) ).

tff(c_1007,plain,
    ! [Y1_178,Y2_179,Y3_180] :
      ( f(Y1_178,Y2_179,Y3_180)
      | f(Y3_180,Y1_178,Y2_179) ),
    inference(resolution,[status(thm)],[c_775,c_970]) ).

tff(c_670,plain,
    ! [Y2_133,Y1_134,Y3_135] :
      ( f(Y2_133,Y1_134,z(Y1_134,Y2_133,Y3_135))
      | f(z(Y1_134,Y2_133,Y3_135),Y2_133,Y1_134)
      | f(Y2_133,Y3_135,Y1_134) ),
    inference(resolution,[status(thm)],[c_16,c_620]) ).

tff(c_684,plain,
    ! [Y1_136,Y2_137,Y3_138] :
      ( f(Y1_136,Y2_137,Y3_138)
      | f(Y2_137,Y1_136,z(Y1_136,Y2_137,Y3_138))
      | f(Y2_137,Y3_138,Y1_136) ),
    inference(resolution,[status(thm)],[c_670,c_22]) ).

tff(c_694,plain,
    ! [Y3_138,Y1_136,Y2_137] :
      ( ~ f(Y3_138,Y1_136,Y2_137)
      | f(Y1_136,Y2_137,Y3_138)
      | f(Y2_137,Y3_138,Y1_136) ),
    inference(resolution,[status(thm)],[c_684,c_4]) ).

tff(c_1051,plain,
    ! [Y2_179,Y3_180,Y1_178] :
      ( f(Y2_179,Y3_180,Y1_178)
      | f(Y3_180,Y1_178,Y2_179) ),
    inference(resolution,[status(thm)],[c_1007,c_694]) ).

tff(c_822,plain,
    ! [Y1_154,Y2_155,Y3_156] :
      ( f(Y1_154,Y2_155,Y3_156)
      | ~ f(Y2_155,Y3_156,Y1_154)
      | ~ f(Y3_156,Y1_154,Y2_155) ),
    inference(resolution,[status(thm)],[c_812,c_4]) ).

tff(c_1179,plain,
    ! [Y2_191,Y3_192,Y1_193] :
      ( ~ f(Y2_191,Y3_192,Y1_193)
      | f(Y3_192,Y1_193,Y2_191) ),
    inference(resolution,[status(thm)],[c_1007,c_822]) ).

tff(c_1209,plain,
    ! [Y3_180,Y1_178,Y2_179] : f(Y3_180,Y1_178,Y2_179),
    inference(resolution,[status(thm)],[c_1051,c_1179]) ).

tff(c_989,plain,
    ! [Y1_145,Y2_146,Y3_147] :
      ( f(Y1_145,Y2_146,Y3_147)
      | f(Y3_147,Y1_145,Y2_146) ),
    inference(resolution,[status(thm)],[c_775,c_970]) ).

tff(c_1006,plain,
    ! [Y3_147] : f(Y3_147,Y3_147,Y3_147),
    inference(factorization,[status(thm),theory(equality)],[c_989]) ).

tff(c_34,plain,
    ! [Y1_49,Y2_50,Y3_51] :
      ( ~ f(z(Y1_49,Y2_50,Y3_51),z(Y1_49,Y2_50,Y3_51),z(Y1_49,Y2_50,Y3_51))
      | ~ f(Y3_51,Y1_49,Y2_50)
      | ~ f(Y2_50,Y3_51,Y1_49)
      | ~ f(Y1_49,Y2_50,Y3_51) ),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_1091,plain,
    ! [Y3_51,Y1_49,Y2_50] :
      ( ~ f(Y3_51,Y1_49,Y2_50)
      | ~ f(Y2_50,Y3_51,Y1_49)
      | ~ f(Y1_49,Y2_50,Y3_51) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1006,c_34]) ).

tff(c_1262,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1209,c_1209,c_1209,c_1091]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem  : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.09  % 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
% 0.08/0.29  % Computer : n023.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Thu Aug  3 17:42:07 EDT 2023
% 0.08/0.29  % CPUTime  : 
% 5.30/2.31  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.41/2.33  
% 5.41/2.33  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.41/2.39  
% 5.41/2.39  Inference rules
% 5.41/2.39  ----------------------
% 5.41/2.39  #Ref     : 0
% 5.41/2.39  #Sup     : 257
% 5.41/2.39  #Fact    : 8
% 5.41/2.39  #Define  : 0
% 5.41/2.39  #Split   : 0
% 5.41/2.39  #Chain   : 0
% 5.41/2.39  #Close   : 0
% 5.41/2.39  
% 5.41/2.39  Ordering : KBO
% 5.41/2.39  
% 5.41/2.39  Simplification rules
% 5.41/2.39  ----------------------
% 5.41/2.39  #Subsume      : 161
% 5.41/2.39  #Demod        : 155
% 5.41/2.39  #Tautology    : 106
% 5.41/2.39  #SimpNegUnit  : 0
% 5.41/2.39  #BackRed      : 6
% 5.41/2.39  
% 5.41/2.39  #Partial instantiations: 0
% 5.41/2.39  #Strategies tried      : 1
% 5.41/2.39  
% 5.41/2.39  Timing (in seconds)
% 5.41/2.39  ----------------------
% 5.41/2.39  Preprocessing        : 0.60
% 5.41/2.39  Parsing              : 0.34
% 5.41/2.39  CNF conversion       : 0.04
% 5.41/2.39  Main loop            : 0.72
% 5.41/2.39  Inferencing          : 0.33
% 5.41/2.39  Reduction            : 0.11
% 5.41/2.39  Demodulation         : 0.07
% 5.41/2.39  BG Simplification    : 0.04
% 5.41/2.39  Subsumption          : 0.21
% 5.41/2.39  Abstraction          : 0.03
% 5.41/2.39  MUC search           : 0.00
% 5.41/2.39  Cooper               : 0.00
% 5.41/2.39  Total                : 1.42
% 5.41/2.39  Index Insertion      : 0.00
% 5.41/2.39  Index Deletion       : 0.00
% 5.41/2.39  Index Matching       : 0.00
% 5.41/2.39  BG Taut test         : 0.00
%------------------------------------------------------------------------------