TSTP Solution File: BOO017-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : BOO017-1 : 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/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 10:34:26 EDT 2023

% Result   : Unsatisfiable 83.65s 68.90s
% Output   : CNFRefutation 83.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   97 (  37 unt;  10 typ;   0 def)
%            Number of atoms       :  192 (  20 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  214 ( 109   ~; 105   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   5   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  207 (; 207   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > inverse > z > y > x > multiplicative_identity > additive_identity

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

tff(f_208,axiom,
    ~ product(x,z,x),
    file(unknown,unknown) ).

tff(f_48,axiom,
    ! [X,Y] : product(X,Y,multiply(X,Y)),
    file(unknown,unknown) ).

tff(f_58,axiom,
    ! [X,Y,Z] :
      ( ~ product(X,Y,Z)
      | product(Y,X,Z) ),
    file(unknown,unknown) ).

tff(f_206,axiom,
    sum(x,y,z),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [X] : sum(additive_identity,X,X),
    file(unknown,unknown) ).

tff(f_122,axiom,
    ! [V3,Z,V1,X,Y,V2,V4] :
      ( ~ product(Y,X,V1)
      | ~ product(Z,X,V2)
      | ~ sum(Y,Z,V3)
      | ~ sum(V1,V2,V4)
      | product(V3,X,V4) ),
    file(unknown,unknown) ).

tff(f_184,axiom,
    ! [X] : product(inverse(X),X,additive_identity),
    file(unknown,unknown) ).

tff(f_203,axiom,
    ! [X,Y,U,V] :
      ( ~ product(X,Y,U)
      | ~ product(X,Y,V)
      | ( U = V ) ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ! [X,Y,Z] :
      ( ~ sum(X,Y,Z)
      | sum(Y,X,Z) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ! [X] : sum(X,additive_identity,X),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ! [V3,Z,V1,X,Y,V2,V4] :
      ( ~ product(X,Y,V1)
      | ~ product(X,Z,V2)
      | ~ sum(Y,Z,V3)
      | ~ sum(V1,V2,V4)
      | product(X,V3,V4) ),
    file(unknown,unknown) ).

tff(f_80,axiom,
    ! [V3,Z,V1,X,Y,V2,V4] :
      ( ~ product(X,Y,V1)
      | ~ product(X,Z,V2)
      | ~ sum(Y,Z,V3)
      | ~ product(X,V3,V4)
      | sum(V1,V2,V4) ),
    file(unknown,unknown) ).

tff(f_46,axiom,
    ! [X,Y] : sum(X,Y,add(X,Y)),
    file(unknown,unknown) ).

tff(f_186,axiom,
    ! [X] : product(X,inverse(X),additive_identity),
    file(unknown,unknown) ).

tff(f_136,axiom,
    ! [V3,Z,V1,X,Y,V2,V4] :
      ( ~ sum(X,Y,V1)
      | ~ sum(X,Z,V2)
      | ~ product(Y,Z,V3)
      | ~ sum(X,V3,V4)
      | product(V1,V2,V4) ),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ! [X] : product(multiplicative_identity,X,X),
    file(unknown,unknown) ).

tff(f_182,axiom,
    ! [X] : sum(X,inverse(X),multiplicative_identity),
    file(unknown,unknown) ).

tff(f_108,axiom,
    ! [V3,Z,V1,X,Y,V2,V4] :
      ( ~ product(Y,X,V1)
      | ~ product(Z,X,V2)
      | ~ sum(Y,Z,V3)
      | ~ product(V3,X,V4)
      | sum(V1,V2,V4) ),
    file(unknown,unknown) ).

tff(f_195,axiom,
    ! [X,Y,U,V] :
      ( ~ sum(X,Y,U)
      | ~ sum(X,Y,V)
      | ( U = V ) ),
    file(unknown,unknown) ).

tff(c_48,plain,
    ~ product(x,z,x),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_4,plain,
    ! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_91,plain,
    ! [Y_100,X_101,Z_102] :
      ( product(Y_100,X_101,Z_102)
      | ~ product(X_101,Y_100,Z_102) ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_102,plain,
    ! [Y_4,X_3] : product(Y_4,X_3,multiply(X_3,Y_4)),
    inference(resolution,[status(thm)],[c_4,c_91]) ).

tff(c_46,plain,
    sum(x,y,z),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_10,plain,
    ! [X_11] : sum(additive_identity,X_11,X_11),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_498,plain,
    ! [V1_145,V3_141,Z_144,X_147,V2_146,Y_143,V4_142] :
      ( product(V3_141,X_147,V4_142)
      | ~ sum(V1_145,V2_146,V4_142)
      | ~ sum(Y_143,Z_144,V3_141)
      | ~ product(Z_144,X_147,V2_146)
      | ~ product(Y_143,X_147,V1_145) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_2181,plain,
    ! [X_274,Z_275,Y_273,V3_272,X_276] :
      ( product(V3_272,X_274,X_276)
      | ~ sum(Y_273,Z_275,V3_272)
      | ~ product(Z_275,X_274,X_276)
      | ~ product(Y_273,X_274,additive_identity) ),
    inference(resolution,[status(thm)],[c_10,c_498]) ).

tff(c_2402,plain,
    ! [X_292,X_293] :
      ( product(z,X_292,X_293)
      | ~ product(y,X_292,X_293)
      | ~ product(x,X_292,additive_identity) ),
    inference(resolution,[status(thm)],[c_46,c_2181]) ).

tff(c_8,plain,
    ! [Y_9,X_8,Z_10] :
      ( product(Y_9,X_8,Z_10)
      | ~ product(X_8,Y_9,Z_10) ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_32795,plain,
    ! [X_1098,X_1099] :
      ( product(X_1098,z,X_1099)
      | ~ product(y,X_1098,X_1099)
      | ~ product(x,X_1098,additive_identity) ),
    inference(resolution,[status(thm)],[c_2402,c_8]) ).

tff(c_32962,plain,
    ! [Y_1101] :
      ( product(Y_1101,z,multiply(y,Y_1101))
      | ~ product(x,Y_1101,additive_identity) ),
    inference(resolution,[status(thm)],[c_4,c_32795]) ).

tff(c_38,plain,
    ! [X_73] : product(inverse(X_73),X_73,additive_identity),
    inference(cnfTransformation,[status(thm)],[f_184]) ).

tff(c_116,plain,
    ! [V_105,U_106,X_107,Y_108] :
      ( ( V_105 = U_106 )
      | ~ product(X_107,Y_108,V_105)
      | ~ product(X_107,Y_108,U_106) ),
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_132,plain,
    ! [U_106,X_73] :
      ( ( additive_identity = U_106 )
      | ~ product(inverse(X_73),X_73,U_106) ),
    inference(resolution,[status(thm)],[c_38,c_116]) ).

tff(c_33075,plain,
    ( ( multiply(y,inverse(z)) = additive_identity )
    | ~ product(x,inverse(z),additive_identity) ),
    inference(resolution,[status(thm)],[c_32962,c_132]) ).

tff(c_33764,plain,
    ~ product(x,inverse(z),additive_identity),
    inference(splitLeft,[status(thm)],[c_33075]) ).

tff(c_59,plain,
    ! [Y_95,X_96,Z_97] :
      ( sum(Y_95,X_96,Z_97)
      | ~ sum(X_96,Y_95,Z_97) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_81,plain,
    sum(y,x,z),
    inference(resolution,[status(thm)],[c_46,c_59]) ).

tff(c_12,plain,
    ! [X_12] : sum(X_12,additive_identity,X_12),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_617,plain,
    ! [V3_156,X_152,Y_158,V4_154,V2_157,Z_155,V1_153] :
      ( product(X_152,V3_156,V4_154)
      | ~ sum(V1_153,V2_157,V4_154)
      | ~ sum(Y_158,Z_155,V3_156)
      | ~ product(X_152,Z_155,V2_157)
      | ~ product(X_152,Y_158,V1_153) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_3280,plain,
    ! [Y_338,X_339,Z_336,X_337,V3_340] :
      ( product(X_339,V3_340,X_337)
      | ~ sum(Y_338,Z_336,V3_340)
      | ~ product(X_339,Z_336,additive_identity)
      | ~ product(X_339,Y_338,X_337) ),
    inference(resolution,[status(thm)],[c_12,c_617]) ).

tff(c_8318,plain,
    ! [X_557,X_558] :
      ( product(X_557,z,X_558)
      | ~ product(X_557,x,additive_identity)
      | ~ product(X_557,y,X_558) ),
    inference(resolution,[status(thm)],[c_81,c_3280]) ).

tff(c_8455,plain,
    ! [X_558] :
      ( ( additive_identity = X_558 )
      | ~ product(inverse(z),x,additive_identity)
      | ~ product(inverse(z),y,X_558) ),
    inference(resolution,[status(thm)],[c_8318,c_132]) ).

tff(c_34174,plain,
    ~ product(inverse(z),x,additive_identity),
    inference(splitLeft,[status(thm)],[c_8455]) ).

tff(c_298,plain,
    ! [X_122,Y_125,V2_120,Z_121,V1_124,V4_119,V3_123] :
      ( sum(V1_124,V2_120,V4_119)
      | ~ product(X_122,V3_123,V4_119)
      | ~ sum(Y_125,Z_121,V3_123)
      | ~ product(X_122,Z_121,V2_120)
      | ~ product(X_122,Y_125,V1_124) ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_33085,plain,
    ! [Y_1106,V2_1104,Z_1102,V1_1105,X_1103] :
      ( sum(V1_1105,V2_1104,additive_identity)
      | ~ sum(Y_1106,Z_1102,X_1103)
      | ~ product(inverse(X_1103),Z_1102,V2_1104)
      | ~ product(inverse(X_1103),Y_1106,V1_1105) ),
    inference(resolution,[status(thm)],[c_38,c_298]) ).

tff(c_138744,plain,
    ! [V1_2130,V2_2131] :
      ( sum(V1_2130,V2_2131,additive_identity)
      | ~ product(inverse(z),y,V2_2131)
      | ~ product(inverse(z),x,V1_2130) ),
    inference(resolution,[status(thm)],[c_46,c_33085]) ).

tff(c_347699,plain,
    ! [V1_3422] :
      ( sum(V1_3422,multiply(y,inverse(z)),additive_identity)
      | ~ product(inverse(z),x,V1_3422) ),
    inference(resolution,[status(thm)],[c_102,c_138744]) ).

tff(c_2,plain,
    ! [X_1,Y_2] : sum(X_1,Y_2,add(X_1,Y_2)),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_40,plain,
    ! [X_74] : product(X_74,inverse(X_74),additive_identity),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_796,plain,
    ! [V1_171,V3_167,Z_170,V2_169,V4_173,Y_168,X_172] :
      ( product(V1_171,V2_169,V4_173)
      | ~ sum(X_172,V3_167,V4_173)
      | ~ product(Y_168,Z_170,V3_167)
      | ~ sum(X_172,Z_170,V2_169)
      | ~ sum(X_172,Y_168,V1_171) ),
    inference(cnfTransformation,[status(thm)],[f_136]) ).

tff(c_7816,plain,
    ! [V2_537,Z_533,V1_535,X_534,Y_536] :
      ( product(V1_535,V2_537,X_534)
      | ~ product(Y_536,Z_533,additive_identity)
      | ~ sum(X_534,Z_533,V2_537)
      | ~ sum(X_534,Y_536,V1_535) ),
    inference(resolution,[status(thm)],[c_12,c_796]) ).

tff(c_39595,plain,
    ! [V1_1276,V2_1277,X_1278,X_1279] :
      ( product(V1_1276,V2_1277,X_1278)
      | ~ sum(X_1278,inverse(X_1279),V2_1277)
      | ~ sum(X_1278,X_1279,V1_1276) ),
    inference(resolution,[status(thm)],[c_40,c_7816]) ).

tff(c_197691,plain,
    ! [V1_2545,X_2546,X_2547] :
      ( product(V1_2545,add(X_2546,inverse(X_2547)),X_2546)
      | ~ sum(X_2546,X_2547,V1_2545) ),
    inference(resolution,[status(thm)],[c_2,c_39595]) ).

tff(c_672,plain,
    ! [U_161,X_162] :
      ( ( additive_identity = U_161 )
      | ~ product(inverse(X_162),X_162,U_161) ),
    inference(resolution,[status(thm)],[c_38,c_116]) ).

tff(c_694,plain,
    ! [X_3] : ( multiply(X_3,inverse(X_3)) = additive_identity ),
    inference(resolution,[status(thm)],[c_102,c_672]) ).

tff(c_4447,plain,
    ! [X_404,Z_405,V3_401,X_402,Y_403] :
      ( product(V3_401,X_404,X_402)
      | ~ sum(Y_403,Z_405,V3_401)
      | ~ product(Z_405,X_404,additive_identity)
      | ~ product(Y_403,X_404,X_402) ),
    inference(resolution,[status(thm)],[c_12,c_498]) ).

tff(c_8505,plain,
    ! [X_564,X_565,X_566] :
      ( product(X_564,X_565,X_566)
      | ~ product(X_564,X_565,additive_identity)
      | ~ product(additive_identity,X_565,X_566) ),
    inference(resolution,[status(thm)],[c_10,c_4447]) ).

tff(c_8936,plain,
    ! [X_576,X_577] :
      ( product(inverse(X_576),X_576,X_577)
      | ~ product(additive_identity,X_576,X_577) ),
    inference(resolution,[status(thm)],[c_38,c_8505]) ).

tff(c_129,plain,
    ! [X_3,Y_4,U_106] :
      ( ( multiply(X_3,Y_4) = U_106 )
      | ~ product(Y_4,X_3,U_106) ),
    inference(resolution,[status(thm)],[c_102,c_116]) ).

tff(c_9019,plain,
    ! [X_576,X_577] :
      ( ( multiply(X_576,inverse(X_576)) = X_577 )
      | ~ product(additive_identity,X_576,X_577) ),
    inference(resolution,[status(thm)],[c_8936,c_129]) ).

tff(c_9090,plain,
    ! [X_577,X_576] :
      ( ( additive_identity = X_577 )
      | ~ product(additive_identity,X_576,X_577) ),
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_9019]) ).

tff(c_198432,plain,
    ! [X_2546,X_2547] :
      ( ( additive_identity = X_2546 )
      | ~ sum(X_2546,X_2547,additive_identity) ),
    inference(resolution,[status(thm)],[c_197691,c_9090]) ).

tff(c_348385,plain,
    ! [V1_3423] :
      ( ( additive_identity = V1_3423 )
      | ~ product(inverse(z),x,V1_3423) ),
    inference(resolution,[status(thm)],[c_347699,c_198432]) ).

tff(c_348539,plain,
    multiply(x,inverse(z)) = additive_identity,
    inference(resolution,[status(thm)],[c_102,c_348385]) ).

tff(c_348789,plain,
    product(inverse(z),x,additive_identity),
    inference(superposition,[status(thm),theory(equality)],[c_348539,c_102]) ).

tff(c_348869,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_34174,c_348789]) ).

tff(c_348871,plain,
    product(inverse(z),x,additive_identity),
    inference(splitRight,[status(thm)],[c_8455]) ).

tff(c_348923,plain,
    product(x,inverse(z),additive_identity),
    inference(resolution,[status(thm)],[c_348871,c_8]) ).

tff(c_348954,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_33764,c_348923]) ).

tff(c_348956,plain,
    product(x,inverse(z),additive_identity),
    inference(splitRight,[status(thm)],[c_33075]) ).

tff(c_349111,plain,
    product(inverse(z),x,additive_identity),
    inference(resolution,[status(thm)],[c_348956,c_8]) ).

tff(c_14,plain,
    ! [X_13] : product(multiplicative_identity,X_13,X_13),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_135,plain,
    ! [X_109,U_110] :
      ( ( X_109 = U_110 )
      | ~ product(multiplicative_identity,X_109,U_110) ),
    inference(resolution,[status(thm)],[c_14,c_116]) ).

tff(c_156,plain,
    ! [Y_4] : ( multiply(multiplicative_identity,Y_4) = Y_4 ),
    inference(resolution,[status(thm)],[c_4,c_135]) ).

tff(c_36,plain,
    ! [X_72] : sum(X_72,inverse(X_72),multiplicative_identity),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_1010,plain,
    ! [V1_185,X_184,Y_182,V4_183,V3_187,V2_186,Z_188] :
      ( sum(V1_185,V2_186,V4_183)
      | ~ product(V3_187,X_184,V4_183)
      | ~ sum(Y_182,Z_188,V3_187)
      | ~ product(Z_188,X_184,V2_186)
      | ~ product(Y_182,X_184,V1_185) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_31798,plain,
    ! [Z_1064,V2_1066,Y_1063,Y_1067,V1_1068,X_1065] :
      ( sum(V1_1068,V2_1066,multiply(X_1065,Y_1067))
      | ~ sum(Y_1063,Z_1064,X_1065)
      | ~ product(Z_1064,Y_1067,V2_1066)
      | ~ product(Y_1063,Y_1067,V1_1068) ),
    inference(resolution,[status(thm)],[c_4,c_1010]) ).

tff(c_31838,plain,
    ! [V1_1068,V2_1066,Y_1067,X_72] :
      ( sum(V1_1068,V2_1066,multiply(multiplicative_identity,Y_1067))
      | ~ product(inverse(X_72),Y_1067,V2_1066)
      | ~ product(X_72,Y_1067,V1_1068) ),
    inference(resolution,[status(thm)],[c_36,c_31798]) ).

tff(c_359065,plain,
    ! [V1_3611,V2_3612,Y_3613,X_3614] :
      ( sum(V1_3611,V2_3612,Y_3613)
      | ~ product(inverse(X_3614),Y_3613,V2_3612)
      | ~ product(X_3614,Y_3613,V1_3611) ),
    inference(demodulation,[status(thm),theory(equality)],[c_156,c_31838]) ).

tff(c_360757,plain,
    ! [V1_3630] :
      ( sum(V1_3630,additive_identity,x)
      | ~ product(z,x,V1_3630) ),
    inference(resolution,[status(thm)],[c_349111,c_359065]) ).

tff(c_162,plain,
    ! [V_111,U_112,X_113,Y_114] :
      ( ( V_111 = U_112 )
      | ~ sum(X_113,Y_114,V_111)
      | ~ sum(X_113,Y_114,U_112) ),
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_185,plain,
    ! [X_12,U_112] :
      ( ( X_12 = U_112 )
      | ~ sum(X_12,additive_identity,U_112) ),
    inference(resolution,[status(thm)],[c_12,c_162]) ).

tff(c_361259,plain,
    ! [V1_3634] :
      ( ( x = V1_3634 )
      | ~ product(z,x,V1_3634) ),
    inference(resolution,[status(thm)],[c_360757,c_185]) ).

tff(c_361301,plain,
    multiply(x,z) = x,
    inference(resolution,[status(thm)],[c_102,c_361259]) ).

tff(c_361309,plain,
    product(x,z,x),
    inference(superposition,[status(thm),theory(equality)],[c_361301,c_4]) ).

tff(c_361313,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_48,c_361309]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : BOO017-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 18:27:11 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 83.65/68.90  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 83.65/68.92  
% 83.65/68.92  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 83.65/68.96  
% 83.65/68.96  Inference rules
% 83.65/68.96  ----------------------
% 83.65/68.96  #Ref     : 0
% 83.65/68.96  #Sup     : 83080
% 83.65/68.96  #Fact    : 0
% 83.65/68.96  #Define  : 0
% 83.65/68.96  #Split   : 125
% 83.65/68.96  #Chain   : 0
% 83.65/68.96  #Close   : 0
% 83.65/68.96  
% 83.65/68.96  Ordering : KBO
% 83.65/68.96  
% 83.65/68.96  Simplification rules
% 83.65/68.96  ----------------------
% 83.65/68.96  #Subsume      : 28759
% 83.65/68.96  #Demod        : 35870
% 83.65/68.96  #Tautology    : 11491
% 83.65/68.96  #SimpNegUnit  : 1976
% 83.65/68.96  #BackRed      : 29
% 83.65/68.96  
% 83.65/68.96  #Partial instantiations: 0
% 83.65/68.96  #Strategies tried      : 1
% 83.65/68.96  
% 83.65/68.96  Timing (in seconds)
% 83.65/68.96  ----------------------
% 83.65/68.97  Preprocessing        : 0.49
% 83.65/68.97  Parsing              : 0.27
% 83.65/68.97  CNF conversion       : 0.03
% 83.65/68.97  Main loop            : 67.39
% 83.65/68.97  Inferencing          : 5.20
% 83.65/68.97  Reduction            : 17.94
% 83.65/68.97  Demodulation         : 11.52
% 83.65/68.97  BG Simplification    : 0.34
% 83.65/68.97  Subsumption          : 38.65
% 83.65/68.97  Abstraction          : 0.50
% 83.65/68.97  MUC search           : 0.00
% 83.65/68.97  Cooper               : 0.00
% 83.65/68.97  Total                : 67.95
% 83.65/68.97  Index Insertion      : 0.00
% 83.65/68.97  Index Deletion       : 0.00
% 83.65/68.97  Index Matching       : 0.00
% 83.65/68.97  BG Taut test         : 0.00
%------------------------------------------------------------------------------