TSTP Solution File: RNG037-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG037-1 : 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 : n024.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 10:54:47 EDT 2023
% Result : Unsatisfiable 25.41s 12.71s
% Output : CNFRefutation 25.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 95 ( 30 unt; 10 typ; 0 def)
% Number of atoms : 180 ( 29 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 192 ( 97 ~; 95 |; 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 : 200 (; 200 !; 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_83,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
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(a,additive_inverse(b),c),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X] : sum(additive_identity,X,X),
file(unknown,unknown) ).
tff(f_119,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_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_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(f_54,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity),
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(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_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_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_159,plain,
! [Y_6] : ( add(additive_identity,Y_6) = Y_6 ),
inference(resolution,[status(thm)],[c_58,c_139]) ).
tff(c_38,plain,
product(a,additive_inverse(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_1205,plain,
! [Z_190,Y_189,V4_188,V2_192,V3_187,V1_191,X_193] :
( sum(V1_191,V2_192,V4_188)
| ~ product(X_193,V3_187,V4_188)
| ~ sum(Y_189,Z_190,V3_187)
| ~ product(X_193,Z_190,V2_192)
| ~ product(X_193,Y_189,V1_191) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_12853,plain,
! [Y_488,Y_484,V2_486,X_487,Z_483,V1_485] :
( sum(V1_485,V2_486,multiply(X_487,Y_488))
| ~ sum(Y_484,Z_483,Y_488)
| ~ product(X_487,Z_483,V2_486)
| ~ product(X_487,Y_484,V1_485) ),
inference(resolution,[status(thm)],[c_6,c_1205]) ).
tff(c_78115,plain,
! [V1_1113,V2_1114,X_1115,X_1116] :
( sum(V1_1113,V2_1114,multiply(X_1115,X_1116))
| ~ product(X_1115,X_1116,V2_1114)
| ~ product(X_1115,additive_identity,V1_1113) ),
inference(resolution,[status(thm)],[c_2,c_12853]) ).
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_2788,plain,
! [U_265,Z_266,X_267,Y_268] :
( sum(U_265,Z_266,X_267)
| ~ sum(Y_268,Z_266,additive_identity)
| ~ sum(X_267,Y_268,U_265) ),
inference(resolution,[status(thm)],[c_4,c_421]) ).
tff(c_4220,plain,
! [U_301,X_302,X_303] :
( sum(U_301,additive_inverse(X_302),X_303)
| ~ sum(X_303,X_302,U_301) ),
inference(resolution,[status(thm)],[c_12,c_2788]) ).
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_4357,plain,
! [X_303,X_302] :
( ( additive_identity = X_303 )
| ~ sum(X_303,X_302,X_302) ),
inference(resolution,[status(thm)],[c_4220,c_127]) ).
tff(c_78404,plain,
! [V1_1113,X_1115,X_1116] :
( ( additive_identity = V1_1113 )
| ~ product(X_1115,X_1116,multiply(X_1115,X_1116))
| ~ product(X_1115,additive_identity,V1_1113) ),
inference(resolution,[status(thm)],[c_78115,c_4357]) ).
tff(c_78618,plain,
! [V1_1117,X_1118] :
( ( additive_identity = V1_1117 )
| ~ product(X_1118,additive_identity,V1_1117) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_78404]) ).
tff(c_78668,plain,
! [X_3] : ( multiply(X_3,additive_identity) = additive_identity ),
inference(resolution,[status(thm)],[c_6,c_78618]) ).
tff(c_12949,plain,
! [V1_485,V2_486,X_487,X_8] :
( sum(V1_485,V2_486,multiply(X_487,additive_identity))
| ~ product(X_487,additive_inverse(X_8),V2_486)
| ~ product(X_487,X_8,V1_485) ),
inference(resolution,[status(thm)],[c_12,c_12853]) ).
tff(c_106343,plain,
! [V1_1359,V2_1360,X_1361,X_1362] :
( sum(V1_1359,V2_1360,additive_identity)
| ~ product(X_1361,additive_inverse(X_1362),V2_1360)
| ~ product(X_1361,X_1362,V1_1359) ),
inference(demodulation,[status(thm),theory(equality)],[c_78668,c_12949]) ).
tff(c_106414,plain,
! [V1_1363] :
( sum(V1_1363,c,additive_identity)
| ~ product(a,b,V1_1363) ),
inference(resolution,[status(thm)],[c_38,c_106343]) ).
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_4363,plain,
! [X_302,U_301,X_303] :
( sum(additive_inverse(X_302),U_301,X_303)
| ~ sum(X_303,X_302,U_301) ),
inference(resolution,[status(thm)],[c_4220,c_18]) ).
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_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_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_2826,plain,
! [U_265,X_8,X_267] :
( sum(U_265,additive_inverse(X_8),X_267)
| ~ sum(X_267,X_8,U_265) ),
inference(resolution,[status(thm)],[c_12,c_2788]) ).
tff(c_10,plain,
! [X_7] : sum(additive_inverse(X_7),X_7,additive_identity),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_2976,plain,
! [U_275,X_276,X_277] :
( sum(U_275,X_276,X_277)
| ~ sum(X_277,additive_inverse(X_276),U_275) ),
inference(resolution,[status(thm)],[c_10,c_2788]) ).
tff(c_3037,plain,
! [X_278,Y_279] : sum(add(additive_inverse(X_278),Y_279),X_278,Y_279),
inference(resolution,[status(thm)],[c_58,c_2976]) ).
tff(c_32,plain,
! [V_67,U_66,X_64,Y_65] :
( ( V_67 = U_66 )
| ~ sum(X_64,Y_65,V_67)
| ~ sum(X_64,Y_65,U_66) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_14783,plain,
! [Y_525,U_526,X_527] :
( ( Y_525 = U_526 )
| ~ sum(add(additive_inverse(X_527),Y_525),X_527,U_526) ),
inference(resolution,[status(thm)],[c_3037,c_32]) ).
tff(c_14836,plain,
! [Y_525,X_267,X_8] :
( ( Y_525 = X_267 )
| ~ sum(X_267,X_8,add(additive_inverse(additive_inverse(X_8)),Y_525)) ),
inference(resolution,[status(thm)],[c_2826,c_14783]) ).
tff(c_14939,plain,
! [Y_528,X_529,X_530] :
( ( Y_528 = X_529 )
| ~ sum(X_529,X_530,add(X_530,Y_528)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1601,c_14836]) ).
tff(c_15065,plain,
! [X_302,Y_528,U_301] :
( ( additive_inverse(X_302) = Y_528 )
| ~ sum(add(U_301,Y_528),X_302,U_301) ),
inference(resolution,[status(thm)],[c_4363,c_14939]) ).
tff(c_106471,plain,
! [Y_528] :
( ( additive_inverse(c) = Y_528 )
| ~ product(a,b,add(additive_identity,Y_528)) ),
inference(resolution,[status(thm)],[c_106414,c_15065]) ).
tff(c_106734,plain,
! [Y_1364] :
( ( additive_inverse(c) = Y_1364 )
| ~ product(a,b,Y_1364) ),
inference(demodulation,[status(thm),theory(equality)],[c_159,c_106471]) ).
tff(c_106762,plain,
multiply(a,b) = additive_inverse(c),
inference(resolution,[status(thm)],[c_6,c_106734]) ).
tff(c_106773,plain,
additive_inverse(c) = d,
inference(demodulation,[status(thm),theory(equality)],[c_90,c_106762]) ).
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_8975,plain,
! [V1_399,V2_400,Y_401,Z_402] :
( sum(V1_399,V2_400,d)
| ~ sum(Y_401,Z_402,a)
| ~ product(Z_402,b,V2_400)
| ~ product(Y_401,b,V1_399) ),
inference(resolution,[status(thm)],[c_36,c_738]) ).
tff(c_48034,plain,
! [V1_857,V2_858] :
( sum(V1_857,V2_858,d)
| ~ product(a,b,V2_858)
| ~ product(additive_identity,b,V1_857) ),
inference(resolution,[status(thm)],[c_2,c_8975]) ).
tff(c_48263,plain,
! [V1_857] :
( ( additive_identity = V1_857 )
| ~ product(a,b,d)
| ~ product(additive_identity,b,V1_857) ),
inference(resolution,[status(thm)],[c_48034,c_4357]) ).
tff(c_48450,plain,
! [V1_859] :
( ( additive_identity = V1_859 )
| ~ product(additive_identity,b,V1_859) ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_48263]) ).
tff(c_48465,plain,
multiply(additive_identity,b) = additive_identity,
inference(resolution,[status(thm)],[c_6,c_48450]) ).
tff(c_48478,plain,
product(additive_identity,b,additive_identity),
inference(superposition,[status(thm),theory(equality)],[c_48465,c_6]) ).
tff(c_54071,plain,
! [V1_897,V2_898] :
( sum(V1_897,V2_898,d)
| ~ product(additive_identity,b,V2_898)
| ~ product(a,b,V1_897) ),
inference(resolution,[status(thm)],[c_4,c_8975]) ).
tff(c_4162,plain,
! [U_297,Z_298,Y_299,X_300] :
( sum(U_297,Z_298,additive_identity)
| ~ sum(Y_299,Z_298,additive_inverse(X_300))
| ~ sum(X_300,Y_299,U_297) ),
inference(resolution,[status(thm)],[c_12,c_421]) ).
tff(c_12074,plain,
! [U_468,X_469] :
( sum(U_468,additive_inverse(X_469),additive_identity)
| ~ sum(X_469,additive_identity,U_468) ),
inference(resolution,[status(thm)],[c_2,c_4162]) ).
tff(c_12450,plain,
! [X_477,U_478] :
( sum(additive_inverse(X_477),U_478,additive_identity)
| ~ sum(X_477,additive_identity,U_478) ),
inference(resolution,[status(thm)],[c_12074,c_18]) ).
tff(c_12584,plain,
! [X_8,U_478] :
( sum(X_8,U_478,additive_identity)
| ~ sum(additive_inverse(X_8),additive_identity,U_478) ),
inference(superposition,[status(thm),theory(equality)],[c_1601,c_12450]) ).
tff(c_54157,plain,
! [X_8] :
( sum(X_8,d,additive_identity)
| ~ product(additive_identity,b,additive_identity)
| ~ product(a,b,additive_inverse(X_8)) ),
inference(resolution,[status(thm)],[c_54071,c_12584]) ).
tff(c_54424,plain,
! [X_8] :
( sum(X_8,d,additive_identity)
| ~ product(a,b,additive_inverse(X_8)) ),
inference(demodulation,[status(thm),theory(equality)],[c_48478,c_54157]) ).
tff(c_106906,plain,
( sum(c,d,additive_identity)
| ~ product(a,b,d) ),
inference(superposition,[status(thm),theory(equality)],[c_106773,c_54424]) ).
tff(c_107326,plain,
sum(c,d,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_106906]) ).
tff(c_107328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_107326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : RNG037-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n024.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 18:04:30 EDT 2023
% 0.15/0.37 % CPUTime :
% 25.41/12.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.41/12.72
% 25.41/12.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.65/12.76
% 25.65/12.76 Inference rules
% 25.65/12.76 ----------------------
% 25.65/12.76 #Ref : 0
% 25.65/12.76 #Sup : 26462
% 25.65/12.76 #Fact : 0
% 25.65/12.76 #Define : 0
% 25.65/12.76 #Split : 8
% 25.65/12.76 #Chain : 0
% 25.65/12.76 #Close : 0
% 25.65/12.76
% 25.65/12.76 Ordering : KBO
% 25.65/12.76
% 25.65/12.76 Simplification rules
% 25.65/12.76 ----------------------
% 25.65/12.76 #Subsume : 7047
% 25.65/12.76 #Demod : 13141
% 25.65/12.76 #Tautology : 4839
% 25.65/12.76 #SimpNegUnit : 2
% 25.65/12.76 #BackRed : 15
% 25.65/12.76
% 25.65/12.76 #Partial instantiations: 0
% 25.65/12.76 #Strategies tried : 1
% 25.65/12.76
% 25.65/12.76 Timing (in seconds)
% 25.65/12.76 ----------------------
% 25.65/12.76 Preprocessing : 0.48
% 25.65/12.76 Parsing : 0.27
% 25.65/12.76 CNF conversion : 0.03
% 25.65/12.76 Main loop : 11.17
% 25.65/12.76 Inferencing : 1.63
% 25.65/12.76 Reduction : 3.57
% 25.65/12.76 Demodulation : 2.90
% 25.65/12.76 BG Simplification : 0.13
% 25.65/12.76 Subsumption : 4.90
% 25.65/12.76 Abstraction : 0.17
% 25.65/12.76 MUC search : 0.00
% 25.65/12.76 Cooper : 0.00
% 25.65/12.76 Total : 11.72
% 25.65/12.76 Index Insertion : 0.00
% 25.65/12.76 Index Deletion : 0.00
% 25.65/12.76 Index Matching : 0.00
% 25.65/12.76 BG Taut test : 0.00
%------------------------------------------------------------------------------