TSTP Solution File: RNG005-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG005-1 : 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 : n002.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 10:54:41 EDT 2023
% Result : Unsatisfiable 26.02s 12.06s
% Output : CNFRefutation 26.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of formulae : 96 ( 32 unt; 10 typ; 0 def)
% Number of atoms : 174 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 178 ( 90 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 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 : 188 (; 188 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > additive_inverse > d > c > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff(c,type,
c: $i ).
tff(f_184,axiom,
~ sum(c,d,additive_identity),
file(unknown,unknown) ).
tff(f_181,axiom,
product(a,b,d),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_178,axiom,
! [X,Y,U,V] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X] : sum(X,additive_identity,X),
file(unknown,unknown) ).
tff(f_170,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
product(additive_inverse(a),b,c),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X] : sum(additive_identity,X,X),
file(unknown,unknown) ).
tff(f_147,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_56,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file(unknown,unknown) ).
tff(f_78,axiom,
! [W,U,Z,X,Y,V] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W)
| sum(U,Z,W) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity),
file(unknown,unknown) ).
tff(f_67,axiom,
! [W,U,Z,X,Y,V] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W)
| sum(X,V,W) ),
file(unknown,unknown) ).
tff(c_40,plain,
~ sum(c,d,additive_identity),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_36,plain,
product(a,b,d),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_6,plain,
! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_72,plain,
! [V_85,U_86,X_87,Y_88] :
( ( V_85 = U_86 )
| ~ product(X_87,Y_88,V_85)
| ~ product(X_87,Y_88,U_86) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_82,plain,
! [U_89] :
( ( d = U_89 )
| ~ product(a,b,U_89) ),
inference(resolution,[status(thm)],[c_36,c_72]) ).
tff(c_90,plain,
multiply(a,b) = d,
inference(resolution,[status(thm)],[c_6,c_82]) ).
tff(c_8,plain,
! [X_5,Y_6] : sum(X_5,Y_6,add(X_5,Y_6)),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_4,plain,
! [X_2] : sum(X_2,additive_identity,X_2),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_112,plain,
! [V_91,U_92,X_93,Y_94] :
( ( V_91 = U_92 )
| ~ sum(X_93,Y_94,V_91)
| ~ sum(X_93,Y_94,U_92) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_139,plain,
! [X_95,U_96] :
( ( X_95 = U_96 )
| ~ sum(X_95,additive_identity,U_96) ),
inference(resolution,[status(thm)],[c_4,c_112]) ).
tff(c_160,plain,
! [X_5] : ( add(X_5,additive_identity) = X_5 ),
inference(resolution,[status(thm)],[c_8,c_139]) ).
tff(c_38,plain,
product(additive_inverse(a),b,c),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_2,plain,
! [X_1] : sum(additive_identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_738,plain,
! [V3_156,V1_155,V4_158,X_159,Z_154,Y_157,V2_153] :
( sum(V1_155,V2_153,V4_158)
| ~ product(V3_156,X_159,V4_158)
| ~ sum(Y_157,Z_154,V3_156)
| ~ product(Z_154,X_159,V2_153)
| ~ product(Y_157,X_159,V1_155) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_15574,plain,
! [Z_543,Y_540,Y_545,V2_542,X_544,V1_541] :
( sum(V1_541,V2_542,multiply(X_544,Y_545))
| ~ sum(Y_540,Z_543,X_544)
| ~ product(Z_543,Y_545,V2_542)
| ~ product(Y_540,Y_545,V1_541) ),
inference(resolution,[status(thm)],[c_6,c_738]) ).
tff(c_77241,plain,
! [V1_1123,V2_1124,X_1125,Y_1126] :
( sum(V1_1123,V2_1124,multiply(X_1125,Y_1126))
| ~ product(X_1125,Y_1126,V2_1124)
| ~ product(additive_identity,Y_1126,V1_1123) ),
inference(resolution,[status(thm)],[c_2,c_15574]) ).
tff(c_12,plain,
! [X_8] : sum(X_8,additive_inverse(X_8),additive_identity),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_421,plain,
! [Z_123,V_126,X_124,Y_127,U_125,W_122] :
( sum(U_125,Z_123,W_122)
| ~ sum(X_124,V_126,W_122)
| ~ sum(Y_127,Z_123,V_126)
| ~ sum(X_124,Y_127,U_125) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_2795,plain,
! [U_266,Z_267,X_268,Y_269] :
( sum(U_266,Z_267,X_268)
| ~ sum(Y_269,Z_267,additive_identity)
| ~ sum(X_268,Y_269,U_266) ),
inference(resolution,[status(thm)],[c_4,c_421]) ).
tff(c_4236,plain,
! [U_302,X_303,X_304] :
( sum(U_302,additive_inverse(X_303),X_304)
| ~ sum(X_304,X_303,U_302) ),
inference(resolution,[status(thm)],[c_12,c_2795]) ).
tff(c_127,plain,
! [U_92,X_8] :
( ( additive_identity = U_92 )
| ~ sum(X_8,additive_inverse(X_8),U_92) ),
inference(resolution,[status(thm)],[c_12,c_112]) ).
tff(c_4372,plain,
! [X_304,X_303] :
( ( additive_identity = X_304 )
| ~ sum(X_304,X_303,X_303) ),
inference(resolution,[status(thm)],[c_4236,c_127]) ).
tff(c_77538,plain,
! [V1_1123,X_1125,Y_1126] :
( ( additive_identity = V1_1123 )
| ~ product(X_1125,Y_1126,multiply(X_1125,Y_1126))
| ~ product(additive_identity,Y_1126,V1_1123) ),
inference(resolution,[status(thm)],[c_77241,c_4372]) ).
tff(c_77763,plain,
! [V1_1127,Y_1128] :
( ( additive_identity = V1_1127 )
| ~ product(additive_identity,Y_1128,V1_1127) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_77538]) ).
tff(c_77832,plain,
! [Y_4] : ( multiply(additive_identity,Y_4) = additive_identity ),
inference(resolution,[status(thm)],[c_6,c_77763]) ).
tff(c_15670,plain,
! [V1_541,V2_542,Y_545,X_8] :
( sum(V1_541,V2_542,multiply(additive_identity,Y_545))
| ~ product(additive_inverse(X_8),Y_545,V2_542)
| ~ product(X_8,Y_545,V1_541) ),
inference(resolution,[status(thm)],[c_12,c_15574]) ).
tff(c_101363,plain,
! [V1_1346,V2_1347,X_1348,Y_1349] :
( sum(V1_1346,V2_1347,additive_identity)
| ~ product(additive_inverse(X_1348),Y_1349,V2_1347)
| ~ product(X_1348,Y_1349,V1_1346) ),
inference(demodulation,[status(thm),theory(equality)],[c_77832,c_15670]) ).
tff(c_101449,plain,
! [V1_1350] :
( sum(V1_1350,c,additive_identity)
| ~ product(a,b,V1_1350) ),
inference(resolution,[status(thm)],[c_38,c_101363]) ).
tff(c_47,plain,
! [Y_80,X_81,Z_82] :
( sum(Y_80,X_81,Z_82)
| ~ sum(X_81,Y_80,Z_82) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_58,plain,
! [Y_6,X_5] : sum(Y_6,X_5,add(X_5,Y_6)),
inference(resolution,[status(thm)],[c_8,c_47]) ).
tff(c_10,plain,
! [X_7] : sum(additive_inverse(X_7),X_7,additive_identity),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_2983,plain,
! [U_276,X_277,X_278] :
( sum(U_276,X_277,X_278)
| ~ sum(X_278,additive_inverse(X_277),U_276) ),
inference(resolution,[status(thm)],[c_10,c_2795]) ).
tff(c_3044,plain,
! [X_279,Y_280] : sum(add(additive_inverse(X_279),Y_280),X_279,Y_280),
inference(resolution,[status(thm)],[c_58,c_2983]) ).
tff(c_125,plain,
! [X_5,Y_6,U_92] :
( ( add(X_5,Y_6) = U_92 )
| ~ sum(Y_6,X_5,U_92) ),
inference(resolution,[status(thm)],[c_58,c_112]) ).
tff(c_3170,plain,
! [X_279,Y_280] : ( add(X_279,add(additive_inverse(X_279),Y_280)) = Y_280 ),
inference(resolution,[status(thm)],[c_3044,c_125]) ).
tff(c_6592,plain,
! [Y_366,Y_369,X_368,Z_367,U_370] :
( sum(U_370,Z_367,add(X_368,Y_366))
| ~ sum(Y_369,Z_367,Y_366)
| ~ sum(X_368,Y_369,U_370) ),
inference(resolution,[status(thm)],[c_8,c_421]) ).
tff(c_54574,plain,
! [U_914,X_915,X_916,Y_917] :
( sum(U_914,X_915,add(X_916,add(X_915,Y_917)))
| ~ sum(X_916,Y_917,U_914) ),
inference(resolution,[status(thm)],[c_58,c_6592]) ).
tff(c_63974,plain,
! [U_1006,X_1007,Y_1008] :
( sum(U_1006,additive_inverse(X_1007),Y_1008)
| ~ sum(X_1007,Y_1008,U_1006) ),
inference(superposition,[status(thm),theory(equality)],[c_3170,c_54574]) ).
tff(c_64460,plain,
! [X_1007,U_1006,Y_1008] :
( ( add(additive_inverse(X_1007),U_1006) = Y_1008 )
| ~ sum(X_1007,Y_1008,U_1006) ),
inference(resolution,[status(thm)],[c_63974,c_125]) ).
tff(c_101481,plain,
! [V1_1350] :
( ( add(additive_inverse(V1_1350),additive_identity) = c )
| ~ product(a,b,V1_1350) ),
inference(resolution,[status(thm)],[c_101449,c_64460]) ).
tff(c_101741,plain,
! [V1_1351] :
( ( additive_inverse(V1_1351) = c )
| ~ product(a,b,V1_1351) ),
inference(demodulation,[status(thm),theory(equality)],[c_160,c_101481]) ).
tff(c_101769,plain,
additive_inverse(multiply(a,b)) = c,
inference(resolution,[status(thm)],[c_6,c_101741]) ).
tff(c_101780,plain,
additive_inverse(d) = c,
inference(demodulation,[status(thm),theory(equality)],[c_90,c_101769]) ).
tff(c_159,plain,
! [Y_6] : ( add(additive_identity,Y_6) = Y_6 ),
inference(resolution,[status(thm)],[c_58,c_139]) ).
tff(c_178,plain,
! [V_100,Y_99,U_101,W_97,X_98,Z_102] :
( sum(X_98,V_100,W_97)
| ~ sum(U_101,Z_102,W_97)
| ~ sum(Y_99,Z_102,V_100)
| ~ sum(X_98,Y_99,U_101) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_1441,plain,
! [X_200,V_201,X_202,Y_203] :
( sum(X_200,V_201,X_202)
| ~ sum(Y_203,X_202,V_201)
| ~ sum(X_200,Y_203,additive_identity) ),
inference(resolution,[status(thm)],[c_2,c_178]) ).
tff(c_1499,plain,
! [X_206,X_207] :
( sum(X_206,additive_identity,additive_inverse(X_207))
| ~ sum(X_206,X_207,additive_identity) ),
inference(resolution,[status(thm)],[c_12,c_1441]) ).
tff(c_1519,plain,
! [X_207,X_206] :
( ( additive_inverse(X_207) = add(additive_identity,X_206) )
| ~ sum(X_206,X_207,additive_identity) ),
inference(resolution,[status(thm)],[c_1499,c_125]) ).
tff(c_1567,plain,
! [X_208,X_209] :
( ( additive_inverse(X_208) = X_209 )
| ~ sum(X_209,X_208,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_159,c_1519]) ).
tff(c_1601,plain,
! [X_8] : ( additive_inverse(additive_inverse(X_8)) = X_8 ),
inference(resolution,[status(thm)],[c_12,c_1567]) ).
tff(c_8379,plain,
! [V1_394,V2_395,Y_396,Z_397] :
( sum(V1_394,V2_395,d)
| ~ sum(Y_396,Z_397,a)
| ~ product(Z_397,b,V2_395)
| ~ product(Y_396,b,V1_394) ),
inference(resolution,[status(thm)],[c_36,c_738]) ).
tff(c_55343,plain,
! [V1_919,V2_920] :
( sum(V1_919,V2_920,d)
| ~ product(a,b,V2_920)
| ~ product(additive_identity,b,V1_919) ),
inference(resolution,[status(thm)],[c_2,c_8379]) ).
tff(c_55596,plain,
! [V1_919] :
( ( additive_identity = V1_919 )
| ~ product(a,b,d)
| ~ product(additive_identity,b,V1_919) ),
inference(resolution,[status(thm)],[c_55343,c_4372]) ).
tff(c_55798,plain,
! [V1_921] :
( ( additive_identity = V1_921 )
| ~ product(additive_identity,b,V1_921) ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_55596]) ).
tff(c_55813,plain,
multiply(additive_identity,b) = additive_identity,
inference(resolution,[status(thm)],[c_6,c_55798]) ).
tff(c_55835,plain,
product(additive_identity,b,additive_identity),
inference(superposition,[status(thm),theory(equality)],[c_55813,c_6]) ).
tff(c_56829,plain,
! [V1_926,V2_927] :
( sum(V1_926,V2_927,d)
| ~ product(additive_identity,b,V2_927)
| ~ product(a,b,V1_926) ),
inference(resolution,[status(thm)],[c_4,c_8379]) ).
tff(c_5654,plain,
! [U_326,Z_327,Y_328,X_329] :
( sum(U_326,Z_327,additive_identity)
| ~ sum(Y_328,Z_327,additive_inverse(X_329))
| ~ sum(X_329,Y_328,U_326) ),
inference(resolution,[status(thm)],[c_12,c_421]) ).
tff(c_11416,plain,
! [U_442,X_443] :
( sum(U_442,additive_inverse(X_443),additive_identity)
| ~ sum(X_443,additive_identity,U_442) ),
inference(resolution,[status(thm)],[c_2,c_5654]) ).
tff(c_126,plain,
! [X_5,Y_6,U_92] :
( ( add(X_5,Y_6) = U_92 )
| ~ sum(X_5,Y_6,U_92) ),
inference(resolution,[status(thm)],[c_8,c_112]) ).
tff(c_16886,plain,
! [U_555,X_556] :
( ( add(U_555,additive_inverse(X_556)) = additive_identity )
| ~ sum(X_556,additive_identity,U_555) ),
inference(resolution,[status(thm)],[c_11416,c_126]) ).
tff(c_17182,plain,
! [U_555,X_8] :
( ( add(U_555,X_8) = additive_identity )
| ~ sum(additive_inverse(X_8),additive_identity,U_555) ),
inference(superposition,[status(thm),theory(equality)],[c_1601,c_16886]) ).
tff(c_56936,plain,
! [X_8] :
( ( add(d,X_8) = additive_identity )
| ~ product(additive_identity,b,additive_identity)
| ~ product(a,b,additive_inverse(X_8)) ),
inference(resolution,[status(thm)],[c_56829,c_17182]) ).
tff(c_82457,plain,
! [X_1222] :
( ( add(d,X_1222) = additive_identity )
| ~ product(a,b,additive_inverse(X_1222)) ),
inference(demodulation,[status(thm),theory(equality)],[c_55835,c_56936]) ).
tff(c_83875,plain,
! [X_1237] :
( ( add(d,additive_inverse(X_1237)) = additive_identity )
| ~ product(a,b,X_1237) ),
inference(superposition,[status(thm),theory(equality)],[c_1601,c_82457]) ).
tff(c_84642,plain,
! [X_1240] :
( sum(d,additive_inverse(X_1240),additive_identity)
| ~ product(a,b,X_1240) ),
inference(superposition,[status(thm),theory(equality)],[c_83875,c_8]) ).
tff(c_18,plain,
! [Y_22,X_21,Z_23] :
( sum(Y_22,X_21,Z_23)
| ~ sum(X_21,Y_22,Z_23) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_84881,plain,
! [X_1240] :
( sum(additive_inverse(X_1240),d,additive_identity)
| ~ product(a,b,X_1240) ),
inference(resolution,[status(thm)],[c_84642,c_18]) ).
tff(c_101815,plain,
( sum(c,d,additive_identity)
| ~ product(a,b,d) ),
inference(superposition,[status(thm),theory(equality)],[c_101780,c_84881]) ).
tff(c_102350,plain,
sum(c,d,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_101815]) ).
tff(c_102352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_102350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % 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 : n002.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 18:10:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 26.02/12.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.02/12.08
% 26.02/12.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 26.12/12.12
% 26.12/12.12 Inference rules
% 26.12/12.12 ----------------------
% 26.12/12.12 #Ref : 0
% 26.12/12.12 #Sup : 24996
% 26.12/12.12 #Fact : 0
% 26.12/12.12 #Define : 0
% 26.12/12.12 #Split : 9
% 26.12/12.12 #Chain : 0
% 26.12/12.12 #Close : 0
% 26.12/12.12
% 26.12/12.12 Ordering : KBO
% 26.12/12.12
% 26.12/12.12 Simplification rules
% 26.12/12.12 ----------------------
% 26.12/12.12 #Subsume : 6894
% 26.12/12.12 #Demod : 12407
% 26.12/12.12 #Tautology : 4633
% 26.12/12.12 #SimpNegUnit : 2
% 26.12/12.12 #BackRed : 16
% 26.12/12.12
% 26.12/12.12 #Partial instantiations: 0
% 26.12/12.12 #Strategies tried : 1
% 26.12/12.12
% 26.12/12.12 Timing (in seconds)
% 26.12/12.12 ----------------------
% 26.12/12.12 Preprocessing : 0.48
% 26.12/12.12 Parsing : 0.26
% 26.12/12.12 CNF conversion : 0.03
% 26.12/12.12 Main loop : 10.55
% 26.12/12.12 Inferencing : 1.56
% 26.12/12.12 Reduction : 3.44
% 26.12/12.12 Demodulation : 2.80
% 26.12/12.12 BG Simplification : 0.13
% 26.12/12.12 Subsumption : 4.49
% 26.12/12.12 Abstraction : 0.18
% 26.12/12.12 MUC search : 0.00
% 26.12/12.12 Cooper : 0.00
% 26.12/12.12 Total : 11.10
% 26.12/12.12 Index Insertion : 0.00
% 26.12/12.12 Index Deletion : 0.00
% 26.12/12.12 Index Matching : 0.00
% 26.12/12.12 BG Taut test : 0.00
%------------------------------------------------------------------------------