TSTP Solution File: GRP134-2.003 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP134-2.003 : TPTP v8.1.2. Released v1.2.0.
% 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 : n031.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 10:40:15 EDT 2023
% Result : Unsatisfiable 10.76s 3.64s
% Output : CNFRefutation 10.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 220 ( 96 unt; 8 typ; 0 def)
% Number of atoms : 563 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 545 ( 194 ~; 351 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 140 (; 140 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > next > greater > equalish > group_element > #nlpp > e_3 > e_2 > e_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(group_element,type,
group_element: $i > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(e_2,type,
e_2: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(next,type,
next: ( $i * $i ) > $o ).
tff(e_3,type,
e_3: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(e_1,type,
e_1: $i ).
tff(f_48,axiom,
~ equalish(e_1,e_2),
file(unknown,unknown) ).
tff(f_58,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_44,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_70,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file(unknown,unknown) ).
tff(f_34,axiom,
greater(e_3,e_2),
file(unknown,unknown) ).
tff(f_43,axiom,
! [X,Y,X1] :
( ~ product(X,e_1,Y)
| ~ next(X,X1)
| ~ greater(Y,X1) ),
file(unknown,unknown) ).
tff(f_102,axiom,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(Y,X,Z2)
| product(Z1,Z2,Y) ),
file(unknown,unknown) ).
tff(f_56,axiom,
~ equalish(e_3,e_1),
file(unknown,unknown) ).
tff(f_54,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_52,axiom,
~ equalish(e_2,e_1),
file(unknown,unknown) ).
tff(f_45,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_46,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_30,axiom,
next(e_1,e_2),
file(unknown,unknown) ).
tff(f_78,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_94,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_86,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_50,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(c_20,plain,
~ equalish(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_30,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_14,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_58,plain,
! [X_44,Y_45] :
( product(X_44,Y_45,e_3)
| product(X_44,Y_45,e_2)
| product(X_44,Y_45,e_1)
| ~ group_element(Y_45)
| ~ group_element(X_44) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_10,plain,
greater(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_41,plain,
! [Y_22,X1_23,X_24] :
( ~ greater(Y_22,X1_23)
| ~ next(X_24,X1_23)
| ~ product(X_24,e_1,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_50,plain,
! [X_24] :
( ~ next(X_24,e_2)
| ~ product(X_24,e_1,e_3) ),
inference(resolution,[status(thm)],[c_10,c_41]) ).
tff(c_72,plain,
! [X_44] :
( ~ next(X_44,e_2)
| product(X_44,e_1,e_2)
| product(X_44,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X_44) ),
inference(resolution,[status(thm)],[c_58,c_50]) ).
tff(c_83,plain,
! [X_44] :
( ~ next(X_44,e_2)
| product(X_44,e_1,e_2)
| product(X_44,e_1,e_1)
| ~ group_element(X_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_72]) ).
tff(c_40,plain,
! [Z1_20,Z2_21,Y_19,X_18] :
( product(Z1_20,Z2_21,Y_19)
| ~ product(Y_19,X_18,Z2_21)
| ~ product(X_18,Y_19,Z1_20) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_8764,plain,
! [Z1_230,X_231,Y_232] :
( product(Z1_230,e_3,X_231)
| ~ product(Y_232,X_231,Z1_230)
| product(X_231,Y_232,e_2)
| product(X_231,Y_232,e_1)
| ~ group_element(Y_232)
| ~ group_element(X_231) ),
inference(resolution,[status(thm)],[c_58,c_40]) ).
tff(c_8770,plain,
! [X_44] :
( product(e_2,e_3,e_1)
| product(e_1,X_44,e_2)
| product(e_1,X_44,e_1)
| ~ group_element(e_1)
| ~ next(X_44,e_2)
| product(X_44,e_1,e_1)
| ~ group_element(X_44) ),
inference(resolution,[status(thm)],[c_83,c_8764]) ).
tff(c_8782,plain,
! [X_44] :
( product(e_2,e_3,e_1)
| product(e_1,X_44,e_2)
| product(e_1,X_44,e_1)
| ~ next(X_44,e_2)
| product(X_44,e_1,e_1)
| ~ group_element(X_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_8770]) ).
tff(c_11839,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_8782]) ).
tff(c_28,plain,
~ equalish(e_3,e_1),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_26,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_24,plain,
~ equalish(e_2,e_1),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_16,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_32,plain,
! [X_4,Y_5] :
( product(X_4,Y_5,e_3)
| product(X_4,Y_5,e_2)
| product(X_4,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(X_4) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_281,plain,
! [Z1_73,X_74,Y_75] :
( product(Z1_73,e_3,X_74)
| ~ product(Y_75,X_74,Z1_73)
| product(X_74,Y_75,e_2)
| product(X_74,Y_75,e_1)
| ~ group_element(Y_75)
| ~ group_element(X_74) ),
inference(resolution,[status(thm)],[c_58,c_40]) ).
tff(c_294,plain,
! [Y_5,X_4] :
( product(e_3,e_3,Y_5)
| product(Y_5,X_4,e_2)
| product(Y_5,X_4,e_1)
| product(X_4,Y_5,e_2)
| product(X_4,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_32,c_281]) ).
tff(c_2786,plain,
! [X_118] :
( product(e_3,e_3,X_118)
| product(X_118,X_118,e_1)
| ~ group_element(X_118)
| product(X_118,X_118,e_2) ),
inference(factorization,[status(thm),theory(equality)],[c_294]) ).
tff(c_18,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_285,plain,
! [X_44] :
( product(e_2,e_3,e_1)
| product(e_1,X_44,e_2)
| product(e_1,X_44,e_1)
| ~ group_element(e_1)
| ~ next(X_44,e_2)
| product(X_44,e_1,e_1)
| ~ group_element(X_44) ),
inference(resolution,[status(thm)],[c_83,c_281]) ).
tff(c_293,plain,
! [X_44] :
( product(e_2,e_3,e_1)
| product(e_1,X_44,e_2)
| product(e_1,X_44,e_1)
| ~ next(X_44,e_2)
| product(X_44,e_1,e_1)
| ~ group_element(X_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_285]) ).
tff(c_295,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_293]) ).
tff(c_75,plain,
! [Z1_20,X_44,Y_45] :
( product(Z1_20,e_3,X_44)
| ~ product(Y_45,X_44,Z1_20)
| product(X_44,Y_45,e_2)
| product(X_44,Y_45,e_1)
| ~ group_element(Y_45)
| ~ group_element(X_44) ),
inference(resolution,[status(thm)],[c_58,c_40]) ).
tff(c_297,plain,
( product(e_1,e_3,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_295,c_75]) ).
tff(c_310,plain,
( product(e_1,e_3,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_297]) ).
tff(c_352,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_310]) ).
tff(c_315,plain,
! [Z1_20] :
( product(Z1_20,e_1,e_2)
| ~ product(e_3,e_2,Z1_20) ),
inference(resolution,[status(thm)],[c_295,c_40]) ).
tff(c_367,plain,
product(e_1,e_1,e_2),
inference(resolution,[status(thm)],[c_352,c_315]) ).
tff(c_2,plain,
next(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_134,plain,
! [X_54] :
( ~ next(X_54,e_2)
| product(X_54,e_1,e_2)
| product(X_54,e_1,e_1)
| ~ group_element(X_54) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_72]) ).
tff(c_176,plain,
! [Z1_64,X_65] :
( product(Z1_64,e_2,X_65)
| ~ product(e_1,X_65,Z1_64)
| ~ next(X_65,e_2)
| product(X_65,e_1,e_1)
| ~ group_element(X_65) ),
inference(resolution,[status(thm)],[c_134,c_40]) ).
tff(c_179,plain,
( product(e_2,e_2,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_83,c_176]) ).
tff(c_185,plain,
( product(e_2,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_2,c_179]) ).
tff(c_199,plain,
product(e_1,e_1,e_1),
inference(splitLeft,[status(thm)],[c_185]) ).
tff(c_34,plain,
! [W_8,Z_9,X_6,Y_7] :
( equalish(W_8,Z_9)
| ~ product(X_6,Y_7,Z_9)
| ~ product(X_6,Y_7,W_8) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_226,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_1,e_1,W_8) ),
inference(resolution,[status(thm)],[c_199,c_34]) ).
tff(c_385,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_367,c_226]) ).
tff(c_414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_385]) ).
tff(c_415,plain,
( product(e_3,e_2,e_2)
| product(e_1,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_310]) ).
tff(c_582,plain,
product(e_1,e_3,e_3),
inference(splitLeft,[status(thm)],[c_415]) ).
tff(c_584,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_582,c_75]) ).
tff(c_603,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_14,c_584]) ).
tff(c_888,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_603]) ).
tff(c_38,plain,
! [W_14,Z_17,Y_15,X_16] :
( equalish(W_14,Z_17)
| ~ product(Z_17,Y_15,X_16)
| ~ product(W_14,Y_15,X_16) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_228,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_1,e_1) ),
inference(resolution,[status(thm)],[c_199,c_38]) ).
tff(c_895,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_888,c_228]) ).
tff(c_915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_895]) ).
tff(c_916,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_603]) ).
tff(c_948,plain,
product(e_3,e_3,e_3),
inference(splitLeft,[status(thm)],[c_916]) ).
tff(c_619,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_3,e_3) ),
inference(resolution,[status(thm)],[c_582,c_38]) ).
tff(c_951,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_948,c_619]) ).
tff(c_971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_951]) ).
tff(c_973,plain,
~ product(e_3,e_3,e_3),
inference(splitRight,[status(thm)],[c_916]) ).
tff(c_979,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_32,c_973]) ).
tff(c_985,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_979]) ).
tff(c_1411,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_985]) ).
tff(c_318,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_295,c_38]) ).
tff(c_1414,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1411,c_318]) ).
tff(c_1430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_1414]) ).
tff(c_1431,plain,
product(e_3,e_3,e_2),
inference(splitRight,[status(thm)],[c_985]) ).
tff(c_972,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_916]) ).
tff(c_36,plain,
! [W_11,Z_13,X_10,Y_12] :
( equalish(W_11,Z_13)
| ~ product(X_10,Z_13,Y_12)
| ~ product(X_10,W_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_1233,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_972,c_36]) ).
tff(c_1441,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_1431,c_1233]) ).
tff(c_1459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_1441]) ).
tff(c_1460,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_415]) ).
tff(c_1671,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1460,c_36]) ).
tff(c_2794,plain,
( equalish(e_3,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c_2786,c_1671]) ).
tff(c_2860,plain,
( equalish(e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2794]) ).
tff(c_2861,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_30,c_2860]) ).
tff(c_2894,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_2861]) ).
tff(c_1657,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c_1460,c_315]) ).
tff(c_1710,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1657,c_36]) ).
tff(c_2897,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_2894,c_1710]) ).
tff(c_2918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_2897]) ).
tff(c_2919,plain,
product(e_2,e_2,e_1),
inference(splitRight,[status(thm)],[c_2861]) ).
tff(c_317,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_295,c_36]) ).
tff(c_2923,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_2919,c_317]) ).
tff(c_2939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_2923]) ).
tff(c_3372,plain,
! [X_127] :
( product(e_1,X_127,e_2)
| product(e_1,X_127,e_1)
| ~ next(X_127,e_2)
| product(X_127,e_1,e_1)
| ~ group_element(X_127) ),
inference(splitRight,[status(thm)],[c_293]) ).
tff(c_3407,plain,
! [X_127] :
( product(e_1,e_3,e_1)
| ~ group_element(e_1)
| product(e_1,X_127,e_2)
| product(e_1,X_127,e_1)
| ~ next(X_127,e_2)
| ~ group_element(X_127) ),
inference(resolution,[status(thm)],[c_3372,c_75]) ).
tff(c_3462,plain,
! [X_127] :
( product(e_1,e_3,e_1)
| product(e_1,X_127,e_2)
| product(e_1,X_127,e_1)
| ~ next(X_127,e_2)
| ~ group_element(X_127) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_3407]) ).
tff(c_5513,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_3462]) ).
tff(c_227,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_1,W_11,e_1) ),
inference(resolution,[status(thm)],[c_199,c_36]) ).
tff(c_5520,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_5513,c_227]) ).
tff(c_5543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_5520]) ).
tff(c_5545,plain,
~ product(e_1,e_3,e_1),
inference(splitRight,[status(thm)],[c_3462]) ).
tff(c_2941,plain,
~ product(e_2,e_3,e_1),
inference(splitRight,[status(thm)],[c_293]) ).
tff(c_2956,plain,
! [Y_119,X_120] :
( product(e_3,e_3,Y_119)
| product(Y_119,X_120,e_2)
| product(Y_119,X_120,e_1)
| product(X_120,Y_119,e_2)
| product(X_120,Y_119,e_1)
| ~ group_element(Y_119)
| ~ group_element(X_120) ),
inference(resolution,[status(thm)],[c_32,c_281]) ).
tff(c_4539,plain,
! [Y_156,X_157] :
( product(e_2,e_3,Y_156)
| product(e_3,e_3,Y_156)
| product(Y_156,X_157,e_2)
| product(Y_156,X_157,e_1)
| product(X_157,Y_156,e_1)
| ~ group_element(Y_156)
| ~ group_element(X_157) ),
inference(resolution,[status(thm)],[c_2956,c_75]) ).
tff(c_4633,plain,
! [X_157] :
( equalish(X_157,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_1,X_157,e_2)
| product(e_1,X_157,e_1)
| ~ group_element(e_1)
| ~ group_element(X_157) ),
inference(resolution,[status(thm)],[c_4539,c_228]) ).
tff(c_4723,plain,
! [X_157] :
( equalish(X_157,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_1,X_157,e_2)
| product(e_1,X_157,e_1)
| ~ group_element(X_157) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4633]) ).
tff(c_4724,plain,
! [X_157] :
( equalish(X_157,e_1)
| product(e_3,e_3,e_1)
| product(e_1,X_157,e_2)
| product(e_1,X_157,e_1)
| ~ group_element(X_157) ),
inference(negUnitSimplification,[status(thm)],[c_2941,c_4723]) ).
tff(c_6111,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_4724]) ).
tff(c_6468,plain,
! [Z1_195] :
( product(Z1_195,e_1,e_3)
| ~ product(e_3,e_3,Z1_195) ),
inference(resolution,[status(thm)],[c_6111,c_40]) ).
tff(c_6503,plain,
product(e_1,e_1,e_3),
inference(resolution,[status(thm)],[c_6111,c_6468]) ).
tff(c_6536,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_6503,c_226]) ).
tff(c_6579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_6536]) ).
tff(c_8597,plain,
! [X_225] :
( equalish(X_225,e_1)
| product(e_1,X_225,e_2)
| product(e_1,X_225,e_1)
| ~ group_element(X_225) ),
inference(splitRight,[status(thm)],[c_4724]) ).
tff(c_22,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_4788,plain,
! [X_161,Y_162] :
( product(e_2,e_3,X_161)
| product(e_3,e_3,Y_162)
| product(Y_162,X_161,e_1)
| product(X_161,Y_162,e_2)
| product(X_161,Y_162,e_1)
| ~ group_element(Y_162)
| ~ group_element(X_161) ),
inference(resolution,[status(thm)],[c_2956,c_75]) ).
tff(c_4840,plain,
! [Y_162] :
( equalish(Y_162,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,Y_162)
| product(e_1,Y_162,e_2)
| product(e_1,Y_162,e_1)
| ~ group_element(Y_162)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4788,c_228]) ).
tff(c_4932,plain,
! [Y_162] :
( equalish(Y_162,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,Y_162)
| product(e_1,Y_162,e_2)
| product(e_1,Y_162,e_1)
| ~ group_element(Y_162) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4840]) ).
tff(c_4933,plain,
! [Y_162] :
( equalish(Y_162,e_1)
| product(e_3,e_3,Y_162)
| product(e_1,Y_162,e_2)
| product(e_1,Y_162,e_1)
| ~ group_element(Y_162) ),
inference(negUnitSimplification,[status(thm)],[c_2941,c_4932]) ).
tff(c_6019,plain,
! [Y_188] :
( equalish(Y_188,e_1)
| product(e_3,e_3,Y_188)
| product(e_1,Y_188,e_2)
| product(e_1,Y_188,e_1)
| ~ group_element(Y_188) ),
inference(negUnitSimplification,[status(thm)],[c_2941,c_4932]) ).
tff(c_77,plain,
! [W_11,Y_45,X_44] :
( equalish(W_11,Y_45)
| ~ product(X_44,W_11,e_3)
| product(X_44,Y_45,e_2)
| product(X_44,Y_45,e_1)
| ~ group_element(Y_45)
| ~ group_element(X_44) ),
inference(resolution,[status(thm)],[c_58,c_36]) ).
tff(c_6051,plain,
! [Y_45] :
( equalish(e_3,Y_45)
| product(e_3,Y_45,e_2)
| product(e_3,Y_45,e_1)
| ~ group_element(Y_45)
| equalish(e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_6019,c_77]) ).
tff(c_6101,plain,
! [Y_45] :
( equalish(e_3,Y_45)
| product(e_3,Y_45,e_2)
| product(e_3,Y_45,e_1)
| ~ group_element(Y_45)
| equalish(e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6051]) ).
tff(c_6102,plain,
! [Y_45] :
( equalish(e_3,Y_45)
| product(e_3,Y_45,e_2)
| product(e_3,Y_45,e_1)
| ~ group_element(Y_45)
| product(e_1,e_3,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_5545,c_28,c_6101]) ).
tff(c_6582,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_6102]) ).
tff(c_7018,plain,
! [W_201] :
( equalish(W_201,e_1)
| ~ product(W_201,e_3,e_2) ),
inference(resolution,[status(thm)],[c_6582,c_38]) ).
tff(c_7025,plain,
( equalish(e_3,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4933,c_7018]) ).
tff(c_7086,plain,
( equalish(e_3,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_7025]) ).
tff(c_7087,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_24,c_28,c_7086]) ).
tff(c_7857,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_7087]) ).
tff(c_7866,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_7857,c_227]) ).
tff(c_7893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_7866]) ).
tff(c_7894,plain,
product(e_1,e_2,e_2),
inference(splitRight,[status(thm)],[c_7087]) ).
tff(c_3093,plain,
! [X_121] :
( product(e_3,e_3,X_121)
| product(X_121,X_121,e_1)
| ~ group_element(X_121)
| product(X_121,X_121,e_2) ),
inference(factorization,[status(thm),theory(equality)],[c_294]) ).
tff(c_3156,plain,
! [W_14,X_121] :
( equalish(W_14,e_3)
| ~ product(W_14,e_3,X_121)
| product(X_121,X_121,e_1)
| ~ group_element(X_121)
| product(X_121,X_121,e_2) ),
inference(resolution,[status(thm)],[c_3093,c_38]) ).
tff(c_6627,plain,
( equalish(e_1,e_3)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[c_6582,c_3156]) ).
tff(c_6666,plain,
( equalish(e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_6627]) ).
tff(c_6667,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_6666]) ).
tff(c_7314,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_6667]) ).
tff(c_7374,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_7314,c_38]) ).
tff(c_7902,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_7894,c_7374]) ).
tff(c_7942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_7902]) ).
tff(c_7943,plain,
product(e_2,e_2,e_1),
inference(splitRight,[status(thm)],[c_6667]) ).
tff(c_8295,plain,
! [Z1_221] :
( product(Z1_221,e_1,e_2)
| ~ product(e_2,e_2,Z1_221) ),
inference(resolution,[status(thm)],[c_7943,c_40]) ).
tff(c_8324,plain,
product(e_1,e_1,e_2),
inference(resolution,[status(thm)],[c_7943,c_8295]) ).
tff(c_6692,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_1,W_11,e_2) ),
inference(resolution,[status(thm)],[c_6582,c_36]) ).
tff(c_8349,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_8324,c_6692]) ).
tff(c_8404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_8349]) ).
tff(c_8406,plain,
~ product(e_1,e_3,e_2),
inference(splitRight,[status(thm)],[c_6102]) ).
tff(c_8600,plain,
( equalish(e_3,e_1)
| product(e_1,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_8597,c_8406]) ).
tff(c_8662,plain,
( equalish(e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_8600]) ).
tff(c_8664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5545,c_28,c_8662]) ).
tff(c_8665,plain,
product(e_2,e_2,e_1),
inference(splitRight,[status(thm)],[c_185]) ).
tff(c_8683,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_8665,c_36]) ).
tff(c_11854,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_11839,c_8683]) ).
tff(c_11887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_11854]) ).
tff(c_12415,plain,
! [X_314] :
( product(e_1,X_314,e_2)
| product(e_1,X_314,e_1)
| ~ next(X_314,e_2)
| product(X_314,e_1,e_1)
| ~ group_element(X_314) ),
inference(splitRight,[status(thm)],[c_8782]) ).
tff(c_146,plain,
! [Z1_20,X_54] :
( product(Z1_20,e_2,X_54)
| ~ product(e_1,X_54,Z1_20)
| ~ next(X_54,e_2)
| product(X_54,e_1,e_1)
| ~ group_element(X_54) ),
inference(resolution,[status(thm)],[c_134,c_40]) ).
tff(c_12570,plain,
! [X_314] :
( product(e_2,e_2,X_314)
| product(e_1,X_314,e_1)
| ~ next(X_314,e_2)
| product(X_314,e_1,e_1)
| ~ group_element(X_314) ),
inference(resolution,[status(thm)],[c_12415,c_146]) ).
tff(c_8666,plain,
~ product(e_1,e_1,e_1),
inference(splitRight,[status(thm)],[c_185]) ).
tff(c_12514,plain,
! [X_314] :
( product(e_1,e_3,e_1)
| ~ group_element(e_1)
| product(e_1,X_314,e_2)
| product(e_1,X_314,e_1)
| ~ next(X_314,e_2)
| ~ group_element(X_314) ),
inference(resolution,[status(thm)],[c_12415,c_75]) ).
tff(c_12619,plain,
! [X_314] :
( product(e_1,e_3,e_1)
| product(e_1,X_314,e_2)
| product(e_1,X_314,e_1)
| ~ next(X_314,e_2)
| ~ group_element(X_314) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12514]) ).
tff(c_13672,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_12619]) ).
tff(c_14011,plain,
! [Z1_335] :
( product(Z1_335,e_1,e_1)
| ~ product(e_3,e_1,Z1_335) ),
inference(resolution,[status(thm)],[c_13672,c_40]) ).
tff(c_14047,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_32,c_14011]) ).
tff(c_14081,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_14,c_14047]) ).
tff(c_14082,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_14081]) ).
tff(c_13729,plain,
! [Z1_20] :
( product(Z1_20,e_1,e_1)
| ~ product(e_3,e_1,Z1_20) ),
inference(resolution,[status(thm)],[c_13672,c_40]) ).
tff(c_14084,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_14082,c_13729]) ).
tff(c_14122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8666,c_14084]) ).
tff(c_14123,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_14081]) ).
tff(c_8711,plain,
! [Z1_229] :
( product(Z1_229,e_1,e_2)
| ~ product(e_2,e_2,Z1_229) ),
inference(resolution,[status(thm)],[c_8665,c_40]) ).
tff(c_8717,plain,
product(e_1,e_1,e_2),
inference(resolution,[status(thm)],[c_8665,c_8711]) ).
tff(c_8763,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_1,e_2) ),
inference(resolution,[status(thm)],[c_8717,c_38]) ).
tff(c_14217,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_14123,c_8763]) ).
tff(c_14269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_14217]) ).
tff(c_14274,plain,
! [X_339] :
( product(e_1,X_339,e_2)
| product(e_1,X_339,e_1)
| ~ next(X_339,e_2)
| ~ group_element(X_339) ),
inference(splitRight,[status(thm)],[c_12619]) ).
tff(c_16119,plain,
! [Z1_376,X_377] :
( product(Z1_376,e_2,e_1)
| ~ product(X_377,e_1,Z1_376)
| product(e_1,X_377,e_1)
| ~ next(X_377,e_2)
| ~ group_element(X_377) ),
inference(resolution,[status(thm)],[c_14274,c_40]) ).
tff(c_16167,plain,
! [X_314] :
( product(e_1,e_2,e_1)
| product(e_2,e_2,X_314)
| product(e_1,X_314,e_1)
| ~ next(X_314,e_2)
| ~ group_element(X_314) ),
inference(resolution,[status(thm)],[c_12570,c_16119]) ).
tff(c_16209,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_16167]) ).
tff(c_8684,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_8665,c_38]) ).
tff(c_16218,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_16209,c_8684]) ).
tff(c_16245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_16218]) ).
tff(c_16247,plain,
~ product(e_1,e_2,e_1),
inference(splitRight,[status(thm)],[c_16167]) ).
tff(c_11889,plain,
~ product(e_2,e_3,e_1),
inference(splitRight,[status(thm)],[c_8782]) ).
tff(c_9168,plain,
! [Y_255,X_256] :
( product(e_3,e_3,Y_255)
| product(Y_255,X_256,e_2)
| product(Y_255,X_256,e_1)
| product(X_256,Y_255,e_2)
| product(X_256,Y_255,e_1)
| ~ group_element(Y_255)
| ~ group_element(X_256) ),
inference(resolution,[status(thm)],[c_32,c_8764]) ).
tff(c_12976,plain,
! [Y_320,X_321] :
( product(e_2,e_3,Y_320)
| product(e_3,e_3,Y_320)
| product(Y_320,X_321,e_2)
| product(Y_320,X_321,e_1)
| product(X_321,Y_320,e_1)
| ~ group_element(Y_320)
| ~ group_element(X_321) ),
inference(resolution,[status(thm)],[c_9168,c_75]) ).
tff(c_8761,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_1,W_11,e_2) ),
inference(resolution,[status(thm)],[c_8717,c_36]) ).
tff(c_13037,plain,
! [X_321] :
( equalish(X_321,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_1,X_321,e_1)
| product(X_321,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X_321) ),
inference(resolution,[status(thm)],[c_12976,c_8761]) ).
tff(c_13186,plain,
! [X_321] :
( equalish(X_321,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_1,X_321,e_1)
| product(X_321,e_1,e_1)
| ~ group_element(X_321) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_13037]) ).
tff(c_13187,plain,
! [X_321] :
( equalish(X_321,e_1)
| product(e_3,e_3,e_1)
| product(e_1,X_321,e_1)
| product(X_321,e_1,e_1)
| ~ group_element(X_321) ),
inference(negUnitSimplification,[status(thm)],[c_11889,c_13186]) ).
tff(c_17582,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_13187]) ).
tff(c_17916,plain,
! [Z1_416] :
( product(Z1_416,e_1,e_3)
| ~ product(e_3,e_3,Z1_416) ),
inference(resolution,[status(thm)],[c_17582,c_40]) ).
tff(c_17949,plain,
product(e_1,e_1,e_3),
inference(resolution,[status(thm)],[c_17582,c_17916]) ).
tff(c_16250,plain,
! [X_378] :
( product(e_2,e_2,X_378)
| product(e_1,X_378,e_1)
| ~ next(X_378,e_2)
| ~ group_element(X_378) ),
inference(splitRight,[status(thm)],[c_16167]) ).
tff(c_8681,plain,
! [Z1_20] :
( product(Z1_20,e_1,e_2)
| ~ product(e_2,e_2,Z1_20) ),
inference(resolution,[status(thm)],[c_8665,c_40]) ).
tff(c_16362,plain,
! [X_379] :
( product(X_379,e_1,e_2)
| product(e_1,X_379,e_1)
| ~ next(X_379,e_2)
| ~ group_element(X_379) ),
inference(resolution,[status(thm)],[c_16250,c_8681]) ).
tff(c_16530,plain,
! [W_8,X_379] :
( equalish(W_8,e_2)
| ~ product(X_379,e_1,W_8)
| product(e_1,X_379,e_1)
| ~ next(X_379,e_2)
| ~ group_element(X_379) ),
inference(resolution,[status(thm)],[c_16362,c_34]) ).
tff(c_17978,plain,
( equalish(e_3,e_2)
| product(e_1,e_1,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_17949,c_16530]) ).
tff(c_18035,plain,
( equalish(e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_2,c_17978]) ).
tff(c_18037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8666,c_30,c_18035]) ).
tff(c_18088,plain,
! [X_417] :
( equalish(X_417,e_1)
| product(e_1,X_417,e_1)
| product(X_417,e_1,e_1)
| ~ group_element(X_417) ),
inference(splitRight,[status(thm)],[c_13187]) ).
tff(c_16360,plain,
! [W_11,X_378] :
( equalish(W_11,e_2)
| ~ product(e_2,W_11,X_378)
| product(e_1,X_378,e_1)
| ~ next(X_378,e_2)
| ~ group_element(X_378) ),
inference(resolution,[status(thm)],[c_16250,c_36]) ).
tff(c_18147,plain,
( equalish(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_18088,c_16360]) ).
tff(c_18224,plain,
( equalish(e_1,e_2)
| product(e_1,e_1,e_1)
| equalish(e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_2,c_18147]) ).
tff(c_18226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16247,c_24,c_8666,c_20,c_18224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP134-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.15 % 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
% 0.15/0.37 % Computer : n031.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:41:59 EDT 2023
% 0.15/0.38 % CPUTime :
% 10.76/3.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.91/3.66
% 10.91/3.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.91/3.72
% 10.91/3.72 Inference rules
% 10.91/3.72 ----------------------
% 10.91/3.72 #Ref : 0
% 10.91/3.72 #Sup : 3323
% 10.91/3.72 #Fact : 36
% 10.91/3.72 #Define : 0
% 10.91/3.72 #Split : 31
% 10.91/3.72 #Chain : 0
% 10.91/3.72 #Close : 0
% 10.91/3.72
% 10.91/3.72 Ordering : KBO
% 10.91/3.72
% 10.91/3.72 Simplification rules
% 10.91/3.72 ----------------------
% 10.91/3.72 #Subsume : 740
% 10.91/3.72 #Demod : 3918
% 10.91/3.72 #Tautology : 1058
% 10.91/3.72 #SimpNegUnit : 908
% 10.91/3.72 #BackRed : 0
% 10.91/3.72
% 10.91/3.72 #Partial instantiations: 0
% 10.91/3.72 #Strategies tried : 1
% 10.91/3.72
% 10.91/3.72 Timing (in seconds)
% 10.91/3.72 ----------------------
% 10.91/3.73 Preprocessing : 0.47
% 10.91/3.73 Parsing : 0.27
% 10.91/3.73 CNF conversion : 0.02
% 10.91/3.73 Main loop : 2.12
% 10.91/3.73 Inferencing : 0.64
% 10.91/3.73 Reduction : 0.60
% 10.91/3.73 Demodulation : 0.39
% 10.91/3.73 BG Simplification : 0.06
% 10.91/3.73 Subsumption : 0.70
% 10.91/3.73 Abstraction : 0.06
% 10.91/3.73 MUC search : 0.00
% 10.91/3.73 Cooper : 0.00
% 10.91/3.73 Total : 2.68
% 10.91/3.73 Index Insertion : 0.00
% 10.91/3.73 Index Deletion : 0.00
% 10.91/3.73 Index Matching : 0.00
% 10.91/3.73 BG Taut test : 0.00
%------------------------------------------------------------------------------