TSTP Solution File: FLD070-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : FLD070-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : 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 10:37:42 EDT 2023

% Result   : Unsatisfiable 11.23s 3.92s
% Output   : CNFRefutation 11.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  117 (  41 unt;  12 typ;   0 def)
%            Number of atoms       :  209 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  207 ( 103   ~; 104   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   7   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   94 (;  94   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ less_or_equal > equalish > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > c > b > additive_identity > a

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_243,axiom,
    ~ less_or_equal(additive_identity,c),
    file(unknown,unknown) ).

tff(f_126,axiom,
    defined(additive_identity),
    file(unknown,unknown) ).

tff(f_238,axiom,
    defined(c),
    file(unknown,unknown) ).

tff(f_173,axiom,
    ! [X,Y] :
      ( less_or_equal(X,Y)
      | less_or_equal(Y,X)
      | ~ defined(X)
      | ~ defined(Y) ),
    file(unknown,unknown) ).

tff(f_239,axiom,
    equalish(add(a,b),c),
    file(unknown,unknown) ).

tff(f_199,axiom,
    ! [X,Y] :
      ( equalish(X,Y)
      | ~ equalish(Y,X) ),
    file(unknown,unknown) ).

tff(f_231,axiom,
    ! [Y,Z,X] :
      ( less_or_equal(Y,Z)
      | ~ less_or_equal(X,Z)
      | ~ equalish(X,Y) ),
    file(unknown,unknown) ).

tff(f_241,axiom,
    less_or_equal(additive_identity,b),
    file(unknown,unknown) ).

tff(f_163,axiom,
    ! [X,Z,Y] :
      ( less_or_equal(X,Z)
      | ~ less_or_equal(X,Y)
      | ~ less_or_equal(Y,Z) ),
    file(unknown,unknown) ).

tff(f_155,axiom,
    ! [X,Y] :
      ( equalish(X,Y)
      | ~ less_or_equal(X,Y)
      | ~ less_or_equal(Y,X) ),
    file(unknown,unknown) ).

tff(f_240,axiom,
    less_or_equal(additive_identity,a),
    file(unknown,unknown) ).

tff(f_237,axiom,
    defined(b),
    file(unknown,unknown) ).

tff(f_181,axiom,
    ! [X,Z,Y] :
      ( less_or_equal(add(X,Z),add(Y,Z))
      | ~ defined(Z)
      | ~ less_or_equal(X,Y) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ! [X] :
      ( equalish(add(additive_identity,X),X)
      | ~ defined(X) ),
    file(unknown,unknown) ).

tff(f_236,axiom,
    defined(a),
    file(unknown,unknown) ).

tff(f_215,axiom,
    ! [X,Z,Y] :
      ( equalish(add(X,Z),add(Y,Z))
      | ~ defined(Z)
      | ~ equalish(X,Y) ),
    file(unknown,unknown) ).

tff(f_75,axiom,
    ! [X,Y] :
      ( equalish(add(X,Y),add(Y,X))
      | ~ defined(X)
      | ~ defined(Y) ),
    file(unknown,unknown) ).

tff(f_207,axiom,
    ! [X,Z,Y] :
      ( equalish(X,Z)
      | ~ equalish(X,Y)
      | ~ equalish(Y,Z) ),
    file(unknown,unknown) ).

tff(c_68,plain,
    ~ less_or_equal(additive_identity,c),
    inference(cnfTransformation,[status(thm)],[f_243]) ).

tff(c_22,plain,
    defined(additive_identity),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_60,plain,
    defined(c),
    inference(cnfTransformation,[status(thm)],[f_238]) ).

tff(c_274,plain,
    ! [Y_83,X_84] :
      ( ~ defined(Y_83)
      | ~ defined(X_84)
      | less_or_equal(Y_83,X_84)
      | less_or_equal(X_84,Y_83) ),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_62,plain,
    equalish(add(a,b),c),
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_71,plain,
    ! [Y_53,X_54] :
      ( ~ equalish(Y_53,X_54)
      | equalish(X_54,Y_53) ),
    inference(cnfTransformation,[status(thm)],[f_199]) ).

tff(c_76,plain,
    equalish(c,add(a,b)),
    inference(resolution,[status(thm)],[c_62,c_71]) ).

tff(c_158,plain,
    ! [X_70,Y_71,Z_72] :
      ( ~ equalish(X_70,Y_71)
      | ~ less_or_equal(X_70,Z_72)
      | less_or_equal(Y_71,Z_72) ),
    inference(cnfTransformation,[status(thm)],[f_231]) ).

tff(c_229,plain,
    ! [Z_80] :
      ( ~ less_or_equal(c,Z_80)
      | less_or_equal(add(a,b),Z_80) ),
    inference(resolution,[status(thm)],[c_76,c_158]) ).

tff(c_66,plain,
    less_or_equal(additive_identity,b),
    inference(cnfTransformation,[status(thm)],[f_241]) ).

tff(c_211,plain,
    ! [Y_75,Z_76,X_77] :
      ( ~ less_or_equal(Y_75,Z_76)
      | ~ less_or_equal(X_77,Y_75)
      | less_or_equal(X_77,Z_76) ),
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_218,plain,
    ! [X_78] :
      ( ~ less_or_equal(X_78,additive_identity)
      | less_or_equal(X_78,b) ),
    inference(resolution,[status(thm)],[c_66,c_211]) ).

tff(c_184,plain,
    ! [Z_72] :
      ( ~ less_or_equal(add(a,b),Z_72)
      | less_or_equal(c,Z_72) ),
    inference(resolution,[status(thm)],[c_62,c_158]) ).

tff(c_226,plain,
    ( less_or_equal(c,b)
    | ~ less_or_equal(add(a,b),additive_identity) ),
    inference(resolution,[status(thm)],[c_218,c_184]) ).

tff(c_228,plain,
    ~ less_or_equal(add(a,b),additive_identity),
    inference(splitLeft,[status(thm)],[c_226]) ).

tff(c_242,plain,
    ~ less_or_equal(c,additive_identity),
    inference(resolution,[status(thm)],[c_229,c_228]) ).

tff(c_280,plain,
    ( ~ defined(c)
    | ~ defined(additive_identity)
    | less_or_equal(additive_identity,c) ),
    inference(resolution,[status(thm)],[c_274,c_242]) ).

tff(c_324,plain,
    less_or_equal(additive_identity,c),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_60,c_280]) ).

tff(c_326,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_68,c_324]) ).

tff(c_327,plain,
    less_or_equal(c,b),
    inference(splitRight,[status(thm)],[c_226]) ).

tff(c_361,plain,
    ! [Y_85,X_86] :
      ( ~ less_or_equal(Y_85,X_86)
      | ~ less_or_equal(X_86,Y_85)
      | equalish(X_86,Y_85) ),
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_382,plain,
    ( ~ less_or_equal(b,c)
    | equalish(b,c) ),
    inference(resolution,[status(thm)],[c_327,c_361]) ).

tff(c_7714,plain,
    ~ less_or_equal(b,c),
    inference(splitLeft,[status(thm)],[c_382]) ).

tff(c_36,plain,
    ! [Y_30,X_29] :
      ( ~ defined(Y_30)
      | ~ defined(X_29)
      | less_or_equal(Y_30,X_29)
      | less_or_equal(X_29,Y_30) ),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_1972,plain,
    ! [Y_30] :
      ( ~ defined(Y_30)
      | less_or_equal(Y_30,Y_30) ),
    inference(factorization,[status(thm),theory(equality)],[c_36]) ).

tff(c_64,plain,
    less_or_equal(additive_identity,a),
    inference(cnfTransformation,[status(thm)],[f_240]) ).

tff(c_385,plain,
    ( ~ less_or_equal(a,additive_identity)
    | equalish(a,additive_identity) ),
    inference(resolution,[status(thm)],[c_64,c_361]) ).

tff(c_2039,plain,
    ~ less_or_equal(a,additive_identity),
    inference(splitLeft,[status(thm)],[c_385]) ).

tff(c_58,plain,
    defined(b),
    inference(cnfTransformation,[status(thm)],[f_237]) ).

tff(c_384,plain,
    ( ~ less_or_equal(b,additive_identity)
    | equalish(b,additive_identity) ),
    inference(resolution,[status(thm)],[c_66,c_361]) ).

tff(c_386,plain,
    ~ less_or_equal(b,additive_identity),
    inference(splitLeft,[status(thm)],[c_384]) ).

tff(c_973,plain,
    ! [X_116,Y_117,Z_118] :
      ( ~ less_or_equal(X_116,Y_117)
      | ~ defined(Z_118)
      | less_or_equal(add(X_116,Z_118),add(Y_117,Z_118)) ),
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_328,plain,
    less_or_equal(add(a,b),additive_identity),
    inference(splitRight,[status(thm)],[c_226]) ).

tff(c_34,plain,
    ! [Y_28,Z_27,X_26] :
      ( ~ less_or_equal(Y_28,Z_27)
      | ~ less_or_equal(X_26,Y_28)
      | less_or_equal(X_26,Z_27) ),
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_341,plain,
    ! [X_26] :
      ( ~ less_or_equal(X_26,add(a,b))
      | less_or_equal(X_26,additive_identity) ),
    inference(resolution,[status(thm)],[c_328,c_34]) ).

tff(c_981,plain,
    ! [X_116] :
      ( less_or_equal(add(X_116,b),additive_identity)
      | ~ less_or_equal(X_116,a)
      | ~ defined(b) ),
    inference(resolution,[status(thm)],[c_973,c_341]) ).

tff(c_995,plain,
    ! [X_116] :
      ( less_or_equal(add(X_116,b),additive_identity)
      | ~ less_or_equal(X_116,a) ),
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_981]) ).

tff(c_4,plain,
    ! [X_4] :
      ( ~ defined(X_4)
      | equalish(add(additive_identity,X_4),X_4) ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_1857,plain,
    ! [X_152,Z_153] :
      ( ~ less_or_equal(add(additive_identity,X_152),Z_153)
      | less_or_equal(X_152,Z_153)
      | ~ defined(X_152) ),
    inference(resolution,[status(thm)],[c_4,c_158]) ).

tff(c_1885,plain,
    ( less_or_equal(b,additive_identity)
    | ~ defined(b)
    | ~ less_or_equal(additive_identity,a) ),
    inference(resolution,[status(thm)],[c_995,c_1857]) ).

tff(c_1924,plain,
    less_or_equal(b,additive_identity),
    inference(demodulation,[status(thm),theory(equality)],[c_64,c_58,c_1885]) ).

tff(c_1926,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_386,c_1924]) ).

tff(c_1927,plain,
    equalish(b,additive_identity),
    inference(splitRight,[status(thm)],[c_384]) ).

tff(c_52,plain,
    ! [X_50,Y_48,Z_49] :
      ( ~ equalish(X_50,Y_48)
      | ~ less_or_equal(X_50,Z_49)
      | less_or_equal(Y_48,Z_49) ),
    inference(cnfTransformation,[status(thm)],[f_231]) ).

tff(c_2088,plain,
    ! [Z_160] :
      ( ~ less_or_equal(b,Z_160)
      | less_or_equal(additive_identity,Z_160) ),
    inference(resolution,[status(thm)],[c_1927,c_52]) ).

tff(c_2103,plain,
    ! [Y_30] :
      ( less_or_equal(additive_identity,Y_30)
      | ~ defined(Y_30)
      | ~ defined(b)
      | less_or_equal(Y_30,b) ),
    inference(resolution,[status(thm)],[c_36,c_2088]) ).

tff(c_2911,plain,
    ! [Y_200] :
      ( less_or_equal(additive_identity,Y_200)
      | ~ defined(Y_200)
      | less_or_equal(Y_200,b) ),
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_2103]) ).

tff(c_1928,plain,
    less_or_equal(b,additive_identity),
    inference(splitRight,[status(thm)],[c_384]) ).

tff(c_1949,plain,
    ! [X_26] :
      ( ~ less_or_equal(X_26,b)
      | less_or_equal(X_26,additive_identity) ),
    inference(resolution,[status(thm)],[c_1928,c_34]) ).

tff(c_2958,plain,
    ! [Y_200] :
      ( less_or_equal(Y_200,additive_identity)
      | less_or_equal(additive_identity,Y_200)
      | ~ defined(Y_200) ),
    inference(resolution,[status(thm)],[c_2911,c_1949]) ).

tff(c_56,plain,
    defined(a),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_2361,plain,
    ! [X_173,Y_174,Z_175] :
      ( ~ equalish(X_173,Y_174)
      | ~ defined(Z_175)
      | equalish(add(X_173,Z_175),add(Y_174,Z_175)) ),
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_44,plain,
    ! [Y_38,X_37] :
      ( ~ equalish(Y_38,X_37)
      | equalish(X_37,Y_38) ),
    inference(cnfTransformation,[status(thm)],[f_199]) ).

tff(c_5497,plain,
    ! [Y_250,Z_251,X_252] :
      ( equalish(add(Y_250,Z_251),add(X_252,Z_251))
      | ~ equalish(X_252,Y_250)
      | ~ defined(Z_251) ),
    inference(resolution,[status(thm)],[c_2361,c_44]) ).

tff(c_2040,plain,
    ! [Y_157,X_158] :
      ( ~ defined(Y_157)
      | ~ defined(X_158)
      | equalish(add(X_158,Y_157),add(Y_157,X_158)) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_109,plain,
    ! [Y_66,Z_67,X_68] :
      ( ~ equalish(Y_66,Z_67)
      | ~ equalish(X_68,Y_66)
      | equalish(X_68,Z_67) ),
    inference(cnfTransformation,[status(thm)],[f_207]) ).

tff(c_135,plain,
    ! [X_68] :
      ( ~ equalish(X_68,add(a,b))
      | equalish(X_68,c) ),
    inference(resolution,[status(thm)],[c_62,c_109]) ).

tff(c_2046,plain,
    ( equalish(add(b,a),c)
    | ~ defined(a)
    | ~ defined(b) ),
    inference(resolution,[status(thm)],[c_2040,c_135]) ).

tff(c_2054,plain,
    equalish(add(b,a),c),
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_56,c_2046]) ).

tff(c_46,plain,
    ! [Y_41,Z_40,X_39] :
      ( ~ equalish(Y_41,Z_40)
      | ~ equalish(X_39,Y_41)
      | equalish(X_39,Z_40) ),
    inference(cnfTransformation,[status(thm)],[f_207]) ).

tff(c_2066,plain,
    ! [X_39] :
      ( ~ equalish(X_39,add(b,a))
      | equalish(X_39,c) ),
    inference(resolution,[status(thm)],[c_2054,c_46]) ).

tff(c_5513,plain,
    ! [Y_250] :
      ( equalish(add(Y_250,a),c)
      | ~ equalish(b,Y_250)
      | ~ defined(a) ),
    inference(resolution,[status(thm)],[c_5497,c_2066]) ).

tff(c_6223,plain,
    ! [Y_263] :
      ( equalish(add(Y_263,a),c)
      | ~ equalish(b,Y_263) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_5513]) ).

tff(c_6570,plain,
    ! [Y_270] :
      ( equalish(c,add(Y_270,a))
      | ~ equalish(b,Y_270) ),
    inference(resolution,[status(thm)],[c_6223,c_44]) ).

tff(c_133,plain,
    ! [X_68,X_4] :
      ( ~ equalish(X_68,add(additive_identity,X_4))
      | equalish(X_68,X_4)
      | ~ defined(X_4) ),
    inference(resolution,[status(thm)],[c_4,c_109]) ).

tff(c_6574,plain,
    ( equalish(c,a)
    | ~ defined(a)
    | ~ equalish(b,additive_identity) ),
    inference(resolution,[status(thm)],[c_6570,c_133]) ).

tff(c_6587,plain,
    equalish(c,a),
    inference(demodulation,[status(thm),theory(equality)],[c_1927,c_56,c_6574]) ).

tff(c_6613,plain,
    ! [Z_271] :
      ( ~ less_or_equal(c,Z_271)
      | less_or_equal(a,Z_271) ),
    inference(resolution,[status(thm)],[c_6587,c_52]) ).

tff(c_6617,plain,
    ( less_or_equal(a,additive_identity)
    | less_or_equal(additive_identity,c)
    | ~ defined(c) ),
    inference(resolution,[status(thm)],[c_2958,c_6613]) ).

tff(c_6695,plain,
    ( less_or_equal(a,additive_identity)
    | less_or_equal(additive_identity,c) ),
    inference(demodulation,[status(thm),theory(equality)],[c_60,c_6617]) ).

tff(c_6697,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_68,c_2039,c_6695]) ).

tff(c_6698,plain,
    equalish(a,additive_identity),
    inference(splitRight,[status(thm)],[c_385]) ).

tff(c_6708,plain,
    equalish(additive_identity,a),
    inference(resolution,[status(thm)],[c_6698,c_44]) ).

tff(c_7046,plain,
    ! [X_288,Y_289,Z_290] :
      ( ~ equalish(X_288,Y_289)
      | ~ defined(Z_290)
      | equalish(add(X_288,Z_290),add(Y_289,Z_290)) ),
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_7052,plain,
    ! [X_288] :
      ( equalish(add(X_288,b),c)
      | ~ equalish(X_288,a)
      | ~ defined(b) ),
    inference(resolution,[status(thm)],[c_7046,c_135]) ).

tff(c_11929,plain,
    ! [X_385] :
      ( equalish(add(X_385,b),c)
      | ~ equalish(X_385,a) ),
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_7052]) ).

tff(c_12267,plain,
    ! [X_392] :
      ( equalish(c,add(X_392,b))
      | ~ equalish(X_392,a) ),
    inference(resolution,[status(thm)],[c_11929,c_44]) ).

tff(c_12273,plain,
    ( equalish(c,b)
    | ~ defined(b)
    | ~ equalish(additive_identity,a) ),
    inference(resolution,[status(thm)],[c_12267,c_133]) ).

tff(c_12289,plain,
    equalish(c,b),
    inference(demodulation,[status(thm),theory(equality)],[c_6708,c_58,c_12273]) ).

tff(c_13852,plain,
    ! [Z_419] :
      ( ~ less_or_equal(c,Z_419)
      | less_or_equal(b,Z_419) ),
    inference(resolution,[status(thm)],[c_12289,c_52]) ).

tff(c_13898,plain,
    ( less_or_equal(b,c)
    | ~ defined(c) ),
    inference(resolution,[status(thm)],[c_1972,c_13852]) ).

tff(c_13953,plain,
    less_or_equal(b,c),
    inference(demodulation,[status(thm),theory(equality)],[c_60,c_13898]) ).

tff(c_13955,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7714,c_13953]) ).

tff(c_13957,plain,
    less_or_equal(b,c),
    inference(splitRight,[status(thm)],[c_382]) ).

tff(c_1935,plain,
    ! [Z_49] :
      ( ~ less_or_equal(b,Z_49)
      | less_or_equal(additive_identity,Z_49) ),
    inference(resolution,[status(thm)],[c_1927,c_52]) ).

tff(c_13972,plain,
    less_or_equal(additive_identity,c),
    inference(resolution,[status(thm)],[c_13957,c_1935]) ).

tff(c_13981,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_68,c_13972]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : FLD070-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % 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
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 20:24:40 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 11.23/3.92  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.23/3.93  
% 11.23/3.93  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.45/3.97  
% 11.45/3.97  Inference rules
% 11.45/3.97  ----------------------
% 11.45/3.97  #Ref     : 0
% 11.45/3.97  #Sup     : 2969
% 11.45/3.97  #Fact    : 8
% 11.45/3.97  #Define  : 0
% 11.45/3.97  #Split   : 22
% 11.45/3.97  #Chain   : 0
% 11.45/3.97  #Close   : 0
% 11.45/3.97  
% 11.45/3.97  Ordering : KBO
% 11.45/3.97  
% 11.45/3.97  Simplification rules
% 11.45/3.97  ----------------------
% 11.45/3.97  #Subsume      : 209
% 11.45/3.97  #Demod        : 1860
% 11.45/3.97  #Tautology    : 1008
% 11.45/3.97  #SimpNegUnit  : 7
% 11.45/3.97  #BackRed      : 0
% 11.45/3.97  
% 11.45/3.97  #Partial instantiations: 0
% 11.45/3.97  #Strategies tried      : 1
% 11.45/3.97  
% 11.45/3.97  Timing (in seconds)
% 11.45/3.97  ----------------------
% 11.45/3.98  Preprocessing        : 0.51
% 11.45/3.98  Parsing              : 0.28
% 11.45/3.98  CNF conversion       : 0.03
% 11.45/3.98  Main loop            : 2.38
% 11.45/3.98  Inferencing          : 0.81
% 11.45/3.98  Reduction            : 0.80
% 11.45/3.98  Demodulation         : 0.59
% 11.45/3.98  BG Simplification    : 0.05
% 11.45/3.98  Subsumption          : 0.56
% 11.45/3.98  Abstraction          : 0.05
% 11.45/3.98  MUC search           : 0.00
% 11.45/3.98  Cooper               : 0.00
% 11.45/3.98  Total                : 2.96
% 11.45/3.98  Index Insertion      : 0.00
% 11.45/3.98  Index Deletion       : 0.00
% 11.45/3.98  Index Matching       : 0.00
% 11.45/3.98  BG Taut test         : 0.00
%------------------------------------------------------------------------------