TSTP Solution File: LCL055-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL055-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n015.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 10:47:16 EDT 2023

% Result   : Unsatisfiable 50.41s 38.76s
% Output   : CNFRefutation 50.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   79 (  28 unt;   6 typ;   0 def)
%            Number of atoms       :  135 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  127 (  65   ~;  62   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  188 (; 188   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > c > b > a

%Foreground sorts:

%Background operators:

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

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

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

tff(not,type,
    not: $i > $i ).

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

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

tff(f_42,axiom,
    ! [X] : is_a_theorem(implies(implies(not(X),X),X)),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ! [X,Y] :
      ( ~ is_a_theorem(implies(X,Y))
      | ~ is_a_theorem(X)
      | is_a_theorem(Y) ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
    file(unknown,unknown) ).

tff(f_46,axiom,
    ~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
    file(unknown,unknown) ).

tff(c_6,plain,
    ! [X_6] : is_a_theorem(implies(implies(not(X_6),X_6),X_6)),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_35,plain,
    ! [X_18,Y_19,Z_20] : is_a_theorem(implies(implies(X_18,Y_19),implies(implies(Y_19,Z_20),implies(X_18,Z_20)))),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_2,plain,
    ! [Y_2,X_1] :
      ( is_a_theorem(Y_2)
      | ~ is_a_theorem(X_1)
      | ~ is_a_theorem(implies(X_1,Y_2)) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_40,plain,
    ! [Y_21,Z_22,X_23] :
      ( is_a_theorem(implies(implies(Y_21,Z_22),implies(X_23,Z_22)))
      | ~ is_a_theorem(implies(X_23,Y_21)) ),
    inference(resolution,[status(thm)],[c_35,c_2]) ).

tff(c_53,plain,
    ! [X_24,Z_25,Y_26] :
      ( is_a_theorem(implies(X_24,Z_25))
      | ~ is_a_theorem(implies(Y_26,Z_25))
      | ~ is_a_theorem(implies(X_24,Y_26)) ),
    inference(resolution,[status(thm)],[c_40,c_2]) ).

tff(c_95,plain,
    ! [X_33,X_34] :
      ( is_a_theorem(implies(X_33,X_34))
      | ~ is_a_theorem(implies(X_33,implies(not(X_34),X_34))) ),
    inference(resolution,[status(thm)],[c_6,c_53]) ).

tff(c_119,plain,
    ! [X_34] : is_a_theorem(implies(implies(not(implies(not(X_34),X_34)),implies(not(X_34),X_34)),X_34)),
    inference(resolution,[status(thm)],[c_6,c_95]) ).

tff(c_8,plain,
    ! [X_7,Y_8] : is_a_theorem(implies(X_7,implies(not(X_7),Y_8))),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_78,plain,
    ! [X_30,X_31,Y_32] :
      ( is_a_theorem(implies(X_30,implies(not(X_31),Y_32)))
      | ~ is_a_theorem(implies(X_30,X_31)) ),
    inference(resolution,[status(thm)],[c_8,c_53]) ).

tff(c_48,plain,
    ! [X_23,Z_22,Y_21] :
      ( is_a_theorem(implies(X_23,Z_22))
      | ~ is_a_theorem(implies(Y_21,Z_22))
      | ~ is_a_theorem(implies(X_23,Y_21)) ),
    inference(resolution,[status(thm)],[c_40,c_2]) ).

tff(c_1516,plain,
    ! [X_131,X_132,Y_133,X_134] :
      ( is_a_theorem(implies(X_131,implies(not(X_132),Y_133)))
      | ~ is_a_theorem(implies(X_131,X_134))
      | ~ is_a_theorem(implies(X_134,X_132)) ),
    inference(resolution,[status(thm)],[c_78,c_48]) ).

tff(c_1697,plain,
    ! [X_144,X_145,Y_146,Y_147] :
      ( is_a_theorem(implies(X_144,implies(not(X_145),Y_146)))
      | ~ is_a_theorem(implies(implies(not(X_144),Y_147),X_145)) ),
    inference(resolution,[status(thm)],[c_8,c_1516]) ).

tff(c_1751,plain,
    ! [X_34,Y_146] : is_a_theorem(implies(implies(not(X_34),X_34),implies(not(X_34),Y_146))),
    inference(resolution,[status(thm)],[c_119,c_1697]) ).

tff(c_39,plain,
    ! [Y_19,Z_20,X_18] :
      ( is_a_theorem(implies(implies(Y_19,Z_20),implies(X_18,Z_20)))
      | ~ is_a_theorem(implies(X_18,Y_19)) ),
    inference(resolution,[status(thm)],[c_35,c_2]) ).

tff(c_156,plain,
    ! [X_38,Y_39,X_40] :
      ( is_a_theorem(implies(not(X_38),Y_39))
      | ~ is_a_theorem(X_40)
      | ~ is_a_theorem(implies(X_40,X_38)) ),
    inference(resolution,[status(thm)],[c_78,c_2]) ).

tff(c_9501,plain,
    ! [X_439,Z_440,Y_441,Y_442] :
      ( is_a_theorem(implies(not(implies(X_439,Z_440)),Y_441))
      | ~ is_a_theorem(implies(Y_442,Z_440))
      | ~ is_a_theorem(implies(X_439,Y_442)) ),
    inference(resolution,[status(thm)],[c_39,c_156]) ).

tff(c_10932,plain,
    ! [X_480,X_481,Y_482] :
      ( is_a_theorem(implies(not(implies(X_480,X_481)),Y_482))
      | ~ is_a_theorem(implies(X_480,implies(not(X_481),X_481))) ),
    inference(resolution,[status(thm)],[c_6,c_9501]) ).

tff(c_14521,plain,
    ! [Y_548,Y_549] : is_a_theorem(implies(not(implies(implies(not(Y_548),Y_548),Y_548)),Y_549)),
    inference(resolution,[status(thm)],[c_1751,c_10932]) ).

tff(c_13,plain,
    ! [Y_12,X_13] :
      ( is_a_theorem(Y_12)
      | ~ is_a_theorem(X_13)
      | ~ is_a_theorem(implies(X_13,Y_12)) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_21,plain,
    ! [X_7,Y_8] :
      ( is_a_theorem(implies(not(X_7),Y_8))
      | ~ is_a_theorem(X_7) ),
    inference(resolution,[status(thm)],[c_8,c_13]) ).

tff(c_241,plain,
    ! [X_50,X_51,Z_52,Y_53] :
      ( is_a_theorem(implies(X_50,implies(X_51,Z_52)))
      | ~ is_a_theorem(implies(X_50,implies(Y_53,Z_52)))
      | ~ is_a_theorem(implies(X_51,Y_53)) ),
    inference(resolution,[status(thm)],[c_39,c_53]) ).

tff(c_278,plain,
    ! [X_54,X_55,Y_56] :
      ( is_a_theorem(implies(X_54,implies(X_55,Y_56)))
      | ~ is_a_theorem(implies(X_55,not(X_54))) ),
    inference(resolution,[status(thm)],[c_8,c_241]) ).

tff(c_304,plain,
    ! [X_57,X_58,Y_59] :
      ( is_a_theorem(implies(X_57,implies(not(X_58),Y_59)))
      | ~ is_a_theorem(X_58) ),
    inference(resolution,[status(thm)],[c_21,c_278]) ).

tff(c_67,plain,
    ! [X_24,X_6] :
      ( is_a_theorem(implies(X_24,X_6))
      | ~ is_a_theorem(implies(X_24,implies(not(X_6),X_6))) ),
    inference(resolution,[status(thm)],[c_6,c_53]) ).

tff(c_336,plain,
    ! [X_60,Y_61] :
      ( is_a_theorem(implies(X_60,Y_61))
      | ~ is_a_theorem(Y_61) ),
    inference(resolution,[status(thm)],[c_304,c_67]) ).

tff(c_378,plain,
    ! [X_60,X_6] :
      ( is_a_theorem(implies(X_60,X_6))
      | ~ is_a_theorem(implies(not(X_6),X_6)) ),
    inference(resolution,[status(thm)],[c_336,c_67]) ).

tff(c_14920,plain,
    ! [X_553,Y_554] : is_a_theorem(implies(X_553,implies(implies(not(Y_554),Y_554),Y_554))),
    inference(resolution,[status(thm)],[c_14521,c_378]) ).

tff(c_4,plain,
    ! [X_3,Y_4,Z_5] : is_a_theorem(implies(implies(X_3,Y_4),implies(implies(Y_4,Z_5),implies(X_3,Z_5)))),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_2782,plain,
    ! [X_208,Y_209,X_210,Z_211] :
      ( is_a_theorem(implies(implies(X_208,Y_209),implies(X_210,implies(X_208,Z_211))))
      | ~ is_a_theorem(implies(X_210,implies(Y_209,Z_211))) ),
    inference(resolution,[status(thm)],[c_4,c_241]) ).

tff(c_2827,plain,
    ! [X_208,Y_209,Z_211] :
      ( is_a_theorem(implies(implies(X_208,Y_209),implies(X_208,Z_211)))
      | ~ is_a_theorem(implies(not(implies(X_208,Z_211)),implies(Y_209,Z_211))) ),
    inference(resolution,[status(thm)],[c_2782,c_67]) ).

tff(c_15073,plain,
    ! [X_208,Y_554] : is_a_theorem(implies(implies(X_208,implies(not(Y_554),Y_554)),implies(X_208,Y_554))),
    inference(resolution,[status(thm)],[c_14920,c_2827]) ).

tff(c_458,plain,
    ! [X_67,Y_68,Z_69,X_70] :
      ( is_a_theorem(implies(X_67,implies(implies(Y_68,Z_69),implies(X_70,Z_69))))
      | ~ is_a_theorem(implies(X_67,implies(X_70,Y_68))) ),
    inference(resolution,[status(thm)],[c_4,c_53]) ).

tff(c_64,plain,
    ! [X_24,X_18,Z_20,Y_19] :
      ( is_a_theorem(implies(X_24,implies(X_18,Z_20)))
      | ~ is_a_theorem(implies(X_24,implies(Y_19,Z_20)))
      | ~ is_a_theorem(implies(X_18,Y_19)) ),
    inference(resolution,[status(thm)],[c_39,c_53]) ).

tff(c_3584,plain,
    ! [Z_261,X_264,Y_263,X_265,X_262] :
      ( is_a_theorem(implies(X_265,implies(X_264,implies(X_262,Z_261))))
      | ~ is_a_theorem(implies(X_264,implies(Y_263,Z_261)))
      | ~ is_a_theorem(implies(X_265,implies(X_262,Y_263))) ),
    inference(resolution,[status(thm)],[c_458,c_64]) ).

tff(c_8174,plain,
    ! [X_411,X_412,X_413,Y_414] :
      ( is_a_theorem(implies(X_411,implies(X_412,implies(X_413,Y_414))))
      | ~ is_a_theorem(implies(X_411,implies(X_413,not(X_412)))) ),
    inference(resolution,[status(thm)],[c_8,c_3584]) ).

tff(c_8374,plain,
    ! [X_7,X_412,Y_414] : is_a_theorem(implies(X_7,implies(X_412,implies(not(X_7),Y_414)))),
    inference(resolution,[status(thm)],[c_8,c_8174]) ).

tff(c_484,plain,
    ! [Y_68,Z_69,X_70,X_67] :
      ( is_a_theorem(implies(implies(Y_68,Z_69),implies(X_70,Z_69)))
      | ~ is_a_theorem(X_67)
      | ~ is_a_theorem(implies(X_67,implies(X_70,Y_68))) ),
    inference(resolution,[status(thm)],[c_458,c_2]) ).

tff(c_32921,plain,
    ! [X_843,X_846,Y_845,Z_847,Z_844] :
      ( is_a_theorem(implies(implies(implies(X_846,Z_847),Z_844),implies(X_843,Z_844)))
      | ~ is_a_theorem(implies(X_846,Y_845))
      | ~ is_a_theorem(implies(X_843,implies(Y_845,Z_847))) ),
    inference(resolution,[status(thm)],[c_2782,c_484]) ).

tff(c_41754,plain,
    ! [X_1035,Y_1031,Z_1034,Z_1033,X_1032] :
      ( is_a_theorem(implies(implies(implies(X_1032,Z_1033),Z_1034),implies(X_1035,Z_1034)))
      | ~ is_a_theorem(implies(X_1035,implies(implies(not(X_1032),Y_1031),Z_1033))) ),
    inference(resolution,[status(thm)],[c_8,c_32921]) ).

tff(c_151329,plain,
    ! [X_2211,X_2212,Y_2213,Z_2214] : is_a_theorem(implies(implies(implies(X_2211,implies(not(X_2212),Y_2213)),Z_2214),implies(X_2212,Z_2214))),
    inference(resolution,[status(thm)],[c_8374,c_41754]) ).

tff(c_331,plain,
    ! [X_57,Y_59] :
      ( is_a_theorem(implies(X_57,Y_59))
      | ~ is_a_theorem(Y_59) ),
    inference(resolution,[status(thm)],[c_304,c_67]) ).

tff(c_139,plain,
    ! [Y_36,Z_37] :
      ( is_a_theorem(implies(implies(Y_36,Z_37),Z_37))
      | ~ is_a_theorem(implies(not(Z_37),Y_36)) ),
    inference(resolution,[status(thm)],[c_39,c_95]) ).

tff(c_688,plain,
    ! [Z_89,Y_90] :
      ( is_a_theorem(Z_89)
      | ~ is_a_theorem(implies(Y_90,Z_89))
      | ~ is_a_theorem(implies(not(Z_89),Y_90)) ),
    inference(resolution,[status(thm)],[c_139,c_2]) ).

tff(c_739,plain,
    ! [Z_89,Y_59] :
      ( is_a_theorem(Z_89)
      | ~ is_a_theorem(implies(Y_59,Z_89))
      | ~ is_a_theorem(Y_59) ),
    inference(resolution,[status(thm)],[c_331,c_688]) ).

tff(c_158662,plain,
    ! [X_2274,Z_2275,X_2276,Y_2277] :
      ( is_a_theorem(implies(X_2274,Z_2275))
      | ~ is_a_theorem(implies(implies(X_2276,implies(not(X_2274),Y_2277)),Z_2275)) ),
    inference(resolution,[status(thm)],[c_151329,c_739]) ).

tff(c_159822,plain,
    ! [Y_2278,X_2279] : is_a_theorem(implies(Y_2278,implies(X_2279,Y_2278))),
    inference(resolution,[status(thm)],[c_15073,c_158662]) ).

tff(c_3706,plain,
    ! [X_265,X_7,X_262,Y_8] :
      ( is_a_theorem(implies(X_265,implies(X_7,implies(X_262,Y_8))))
      | ~ is_a_theorem(implies(X_265,implies(X_262,not(X_7)))) ),
    inference(resolution,[status(thm)],[c_8,c_3584]) ).

tff(c_163111,plain,
    ! [X_2307,X_2308,Y_2309] : is_a_theorem(implies(not(X_2307),implies(X_2307,implies(X_2308,Y_2309)))),
    inference(resolution,[status(thm)],[c_159822,c_3706]) ).

tff(c_602,plain,
    ! [X_81] : is_a_theorem(implies(implies(not(implies(not(X_81),X_81)),implies(not(X_81),X_81)),X_81)),
    inference(resolution,[status(thm)],[c_6,c_95]) ).

tff(c_628,plain,
    ! [X_23,X_81] :
      ( is_a_theorem(implies(X_23,X_81))
      | ~ is_a_theorem(implies(X_23,implies(not(implies(not(X_81),X_81)),implies(not(X_81),X_81)))) ),
    inference(resolution,[status(thm)],[c_602,c_48]) ).

tff(c_164139,plain,
    ! [Y_2321] : is_a_theorem(implies(not(not(implies(not(Y_2321),Y_2321))),Y_2321)),
    inference(resolution,[status(thm)],[c_163111,c_628]) ).

tff(c_117,plain,
    ! [Y_19,Z_20] :
      ( is_a_theorem(implies(implies(Y_19,Z_20),Z_20))
      | ~ is_a_theorem(implies(not(Z_20),Y_19)) ),
    inference(resolution,[status(thm)],[c_39,c_95]) ).

tff(c_120,plain,
    ! [Y_8] : is_a_theorem(implies(Y_8,Y_8)),
    inference(resolution,[status(thm)],[c_8,c_95]) ).

tff(c_1855,plain,
    ! [Y_153,Z_154,X_155,X_156] :
      ( is_a_theorem(implies(implies(Y_153,Z_154),implies(X_155,Z_154)))
      | ~ is_a_theorem(implies(X_155,X_156))
      | ~ is_a_theorem(implies(X_156,Y_153)) ),
    inference(resolution,[status(thm)],[c_39,c_241]) ).

tff(c_3708,plain,
    ! [Y_269,Z_270,X_271,Y_272] :
      ( is_a_theorem(implies(implies(Y_269,Z_270),implies(X_271,Z_270)))
      | ~ is_a_theorem(implies(implies(not(X_271),Y_272),Y_269)) ),
    inference(resolution,[status(thm)],[c_8,c_1855]) ).

tff(c_4162,plain,
    ! [X_283,Y_284,Z_285] : is_a_theorem(implies(implies(implies(not(X_283),Y_284),Z_285),implies(X_283,Z_285))),
    inference(resolution,[status(thm)],[c_120,c_3708]) ).

tff(c_4344,plain,
    ! [X_291,Z_292,Y_293] :
      ( is_a_theorem(implies(X_291,Z_292))
      | ~ is_a_theorem(implies(implies(not(X_291),Y_293),Z_292)) ),
    inference(resolution,[status(thm)],[c_4162,c_739]) ).

tff(c_4504,plain,
    ! [X_291,Z_20] :
      ( is_a_theorem(implies(X_291,Z_20))
      | ~ is_a_theorem(implies(not(Z_20),not(X_291))) ),
    inference(resolution,[status(thm)],[c_117,c_4344]) ).

tff(c_176516,plain,
    ! [X_2408] : is_a_theorem(implies(X_2408,not(implies(not(not(X_2408)),not(X_2408))))),
    inference(resolution,[status(thm)],[c_164139,c_4504]) ).

tff(c_1760,plain,
    ! [X_144,Y_147,Y_146] : is_a_theorem(implies(X_144,implies(not(implies(not(X_144),Y_147)),Y_146))),
    inference(resolution,[status(thm)],[c_120,c_1697]) ).

tff(c_11592,plain,
    ! [X_488,Z_489,Y_490] :
      ( is_a_theorem(implies(X_488,Z_489))
      | ~ is_a_theorem(implies(X_488,implies(Y_490,Z_489)))
      | ~ is_a_theorem(implies(not(Z_489),Y_490)) ),
    inference(resolution,[status(thm)],[c_139,c_48]) ).

tff(c_11806,plain,
    ! [X_144,Y_146,Y_147] :
      ( is_a_theorem(implies(X_144,Y_146))
      | ~ is_a_theorem(implies(not(Y_146),not(implies(not(X_144),Y_147)))) ),
    inference(resolution,[status(thm)],[c_1760,c_11592]) ).

tff(c_177040,plain,
    ! [Y_2409] : is_a_theorem(implies(not(not(Y_2409)),Y_2409)),
    inference(resolution,[status(thm)],[c_176516,c_11806]) ).

tff(c_177435,plain,
    ! [X_291] : is_a_theorem(implies(X_291,not(not(X_291)))),
    inference(resolution,[status(thm)],[c_177040,c_4504]) ).

tff(c_139092,plain,
    ! [X_2088,Z_2089,Z_2090,X_2091] :
      ( is_a_theorem(implies(implies(implies(X_2088,Z_2089),Z_2090),implies(X_2091,Z_2090)))
      | ~ is_a_theorem(implies(X_2088,not(X_2091))) ),
    inference(resolution,[status(thm)],[c_39,c_3708]) ).

tff(c_10,plain,
    ~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_139481,plain,
    ~ is_a_theorem(implies(a,not(not(a)))),
    inference(resolution,[status(thm)],[c_139092,c_10]) ).

tff(c_177767,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_177435,c_139481]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : LCL055-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.16  % 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
% 0.16/0.37  % Computer : n015.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu Aug  3 14:05:44 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 50.41/38.76  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 50.44/38.77  
% 50.44/38.77  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 50.44/38.81  
% 50.44/38.81  Inference rules
% 50.44/38.82  ----------------------
% 50.44/38.82  #Ref     : 0
% 50.44/38.82  #Sup     : 42571
% 50.44/38.82  #Fact    : 0
% 50.44/38.82  #Define  : 0
% 50.44/38.82  #Split   : 11
% 50.44/38.82  #Chain   : 0
% 50.44/38.82  #Close   : 0
% 50.44/38.82  
% 50.44/38.82  Ordering : KBO
% 50.44/38.82  
% 50.44/38.82  Simplification rules
% 50.44/38.82  ----------------------
% 50.44/38.82  #Subsume      : 11309
% 50.44/38.82  #Demod        : 4522
% 50.44/38.82  #Tautology    : 4637
% 50.44/38.82  #SimpNegUnit  : 0
% 50.44/38.82  #BackRed      : 1
% 50.44/38.82  
% 50.44/38.82  #Partial instantiations: 0
% 50.44/38.82  #Strategies tried      : 1
% 50.44/38.82  
% 50.44/38.82  Timing (in seconds)
% 50.44/38.82  ----------------------
% 50.44/38.82  Preprocessing        : 0.38
% 50.44/38.82  Parsing              : 0.21
% 50.44/38.82  CNF conversion       : 0.02
% 50.44/38.82  Main loop            : 37.32
% 50.44/38.82  Inferencing          : 2.91
% 50.44/38.82  Reduction            : 8.91
% 50.44/38.82  Demodulation         : 6.55
% 50.44/38.82  BG Simplification    : 0.18
% 50.44/38.82  Subsumption          : 23.01
% 50.44/38.82  Abstraction          : 0.28
% 50.44/38.82  MUC search           : 0.00
% 50.44/38.82  Cooper               : 0.00
% 50.44/38.82  Total                : 37.77
% 50.44/38.82  Index Insertion      : 0.00
% 50.44/38.82  Index Deletion       : 0.00
% 50.44/38.82  Index Matching       : 0.00
% 50.44/38.82  BG Taut test         : 0.00
%------------------------------------------------------------------------------