TSTP Solution File: GRP234-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP234-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n032.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 10:40:35 EDT 2023
% Result : Unsatisfiable 10.63s 3.71s
% Output : CNFRefutation 11.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of formulae : 241 ( 186 unt; 10 typ; 0 def)
% Number of atoms : 323 ( 312 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 188 ( 96 ~; 92 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 122 (; 122 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
! [X5,X3,X1,X2,X4] :
( ( inverse(sk_c7) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( multiply(X4,sk_c7) != sk_c6 )
| ( inverse(X4) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(sk_c7,X2) != sk_c6 )
| ( multiply(X5,sk_c7) != X2 )
| ( inverse(X5) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_65,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_69,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_16,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_77,plain,
inverse(sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_81,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_77,c_4]) ).
tff(c_14868,plain,
! [X_159,Y_160,Z_161] : ( multiply(multiply(X_159,Y_160),Z_161) = multiply(X_159,multiply(Y_160,Z_161)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14901,plain,
! [Z_161] : ( multiply(sk_c6,multiply(sk_c7,Z_161)) = multiply(identity,Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_14868]) ).
tff(c_14940,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c7,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14901]) ).
tff(c_14964,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_14940]) ).
tff(c_115,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_142,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_115]) ).
tff(c_152,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_142]) ).
tff(c_566,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_142]) ).
tff(c_710,plain,
! [X_32,Z_33] : ( multiply(inverse(inverse(X_32)),Z_33) = multiply(X_32,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_566]) ).
tff(c_587,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_566]) ).
tff(c_717,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_710,c_587]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_98,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_139,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_115]) ).
tff(c_161,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139]) ).
tff(c_173,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_98,c_161]) ).
tff(c_136,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c7,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_115]) ).
tff(c_184,plain,
! [Z_17] : ( multiply(sk_c6,multiply(sk_c7,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136]) ).
tff(c_196,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_173,c_184]) ).
tff(c_206,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81,c_196]) ).
tff(c_202,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_184]) ).
tff(c_528,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206,c_202]) ).
tff(c_209,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_206,c_98]) ).
tff(c_555,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_528,c_209]) ).
tff(c_211,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_206,c_81]) ).
tff(c_271,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_211,c_2]) ).
tff(c_226,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_206,c_202]) ).
tff(c_229,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_226,c_65]) ).
tff(c_281,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_271,c_229]) ).
tff(c_290,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_142]) ).
tff(c_422,plain,
! [X_23] : ( multiply(inverse(inverse(X_23)),identity) = X_23 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_290]) ).
tff(c_428,plain,
! [X_23] : ( multiply(inverse(inverse(inverse(X_23))),X_23) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_422,c_152]) ).
tff(c_48,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_155,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77,c_48]) ).
tff(c_156,plain,
! [X3_7] : ( multiply(X3_7,sk_c7) != sk_c6 ),
inference(splitLeft,[status(thm)],[c_155]) ).
tff(c_159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156,c_98]) ).
tff(c_160,plain,
! [X5_6,X1_8,X4_10] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_155]) ).
tff(c_217,plain,
! [X5_6,X1_8,X4_10] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != identity )
| ( multiply(X1_8,identity) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206,c_206,c_206,c_160]) ).
tff(c_218,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_217]) ).
tff(c_476,plain,
! [X4_25] :
( ( inverse(X4_25) != identity )
| ( multiply(X4_25,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_271,c_271,c_218]) ).
tff(c_480,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_428,c_476]) ).
tff(c_499,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_281,c_281,c_281,c_480]) ).
tff(c_500,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,identity) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != identity ) ),
inference(splitRight,[status(thm)],[c_217]) ).
tff(c_14811,plain,
! [X1_8,X5_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_717,c_555,c_2,c_555,c_555,c_555,c_717,c_555,c_500]) ).
tff(c_14813,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_14811]) ).
tff(c_212,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_206,c_77]) ).
tff(c_558,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_555,c_212]) ).
tff(c_14815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14813,c_558]) ).
tff(c_14817,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_14811]) ).
tff(c_14819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14817,c_558]) ).
tff(c_14821,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_32,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_14863,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14821,c_32]) ).
tff(c_14820,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_14825,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14820,c_4]) ).
tff(c_14961,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14825,c_14940]) ).
tff(c_15011,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14964,c_14961]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_14850,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14821,c_34]) ).
tff(c_15012,plain,
multiply(sk_c2,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15011,c_14850]) ).
tff(c_14904,plain,
! [Z_161] : ( multiply(sk_c7,multiply(sk_c2,Z_161)) = multiply(identity,Z_161) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_14868]) ).
tff(c_14918,plain,
! [Z_161] : ( multiply(sk_c7,multiply(sk_c2,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14904]) ).
tff(c_15035,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15012,c_14918]) ).
tff(c_15041,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14863,c_15035]) ).
tff(c_15127,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15041,c_77]) ).
tff(c_15137,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15127,c_4]) ).
tff(c_14955,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14863,c_14940]) ).
tff(c_15141,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15137,c_14955]) ).
tff(c_15124,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15041,c_14863]) ).
tff(c_15181,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14964,c_15141,c_15124]) ).
tff(c_15031,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15012,c_14821]) ).
tff(c_15150,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15141,c_15031]) ).
tff(c_15185,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15181,c_15150]) ).
tff(c_15129,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15041,c_65]) ).
tff(c_15158,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15129,c_4]) ).
tff(c_15194,plain,
multiply(sk_c2,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15181,c_15158]) ).
tff(c_28,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_14837,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14821,c_28]) ).
tff(c_14841,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14837,c_4]) ).
tff(c_14958,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_14841,c_14940]) ).
tff(c_15021,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14964,c_14958]) ).
tff(c_30,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_14856,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14821,c_30]) ).
tff(c_15022,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15021,c_14856]) ).
tff(c_15162,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15041,c_15022]) ).
tff(c_15183,plain,
multiply(sk_c2,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_15181,c_15181,c_15162]) ).
tff(c_15276,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15194,c_15183]) ).
tff(c_15277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15185,c_15276]) ).
tff(c_15279,plain,
inverse(sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_12,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_15313,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15279,c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_15307,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_15279,c_14]) ).
tff(c_15278,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_15284,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15278,c_4]) ).
tff(c_15332,plain,
! [X_168,Y_169,Z_170] : ( multiply(multiply(X_168,Y_169),Z_170) = multiply(X_168,multiply(Y_169,Z_170)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15359,plain,
! [Z_170] : ( multiply(sk_c7,multiply(sk_c4,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_15284,c_15332]) ).
tff(c_15401,plain,
! [Z_172] : ( multiply(sk_c7,multiply(sk_c4,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15359]) ).
tff(c_15413,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15307,c_15401]) ).
tff(c_15417,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15313,c_15413]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_15318,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15279,c_10]) ).
tff(c_8,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_15292,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15279,c_8]) ).
tff(c_15296,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15292,c_4]) ).
tff(c_15356,plain,
! [Z_170] : ( multiply(sk_c7,multiply(sk_c3,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_15296,c_15332]) ).
tff(c_15378,plain,
! [Z_171] : ( multiply(sk_c7,multiply(sk_c3,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15356]) ).
tff(c_15390,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15318,c_15378]) ).
tff(c_15419,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15417,c_15417,c_15390]) ).
tff(c_15365,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15332]) ).
tff(c_15376,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15365]) ).
tff(c_15547,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15419,c_15376]) ).
tff(c_15553,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15547]) ).
tff(c_15427,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15417,c_15279]) ).
tff(c_15572,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15553,c_15553,c_15427]) ).
tff(c_15426,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15417,c_15284]) ).
tff(c_15632,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15553,c_15426]) ).
tff(c_15428,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15417,c_15278]) ).
tff(c_15569,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15553,c_15428]) ).
tff(c_15633,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15632,c_15569]) ).
tff(c_15635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15572,c_15633]) ).
tff(c_15637,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_42,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_15663,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15637,c_42]) ).
tff(c_15702,plain,
! [X_176,Y_177,Z_178] : ( multiply(multiply(X_176,Y_177),Z_178) = multiply(X_176,multiply(Y_177,Z_178)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15735,plain,
! [X_2,Z_178] : ( multiply(inverse(X_2),multiply(X_2,Z_178)) = multiply(identity,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15702]) ).
tff(c_16355,plain,
! [X_192,Z_193] : ( multiply(inverse(X_192),multiply(X_192,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15735]) ).
tff(c_15746,plain,
! [X_2,Z_178] : ( multiply(inverse(X_2),multiply(X_2,Z_178)) = Z_178 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15735]) ).
tff(c_16508,plain,
! [X_195,Z_196] : ( multiply(inverse(inverse(X_195)),Z_196) = multiply(X_195,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_16355,c_15746]) ).
tff(c_16385,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16355]) ).
tff(c_16515,plain,
! [X_195] : ( multiply(X_195,identity) = X_195 ),
inference(superposition,[status(thm),theory(equality)],[c_16508,c_16385]) ).
tff(c_44,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_15691,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_15637,c_44]) ).
tff(c_15636,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_15641,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15636,c_4]) ).
tff(c_15732,plain,
! [Z_178] : ( multiply(sk_c7,multiply(sk_c4,Z_178)) = multiply(identity,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_15641,c_15702]) ).
tff(c_15792,plain,
! [Z_181] : ( multiply(sk_c7,multiply(sk_c4,Z_181)) = Z_181 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15732]) ).
tff(c_15804,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15691,c_15792]) ).
tff(c_15808,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15663,c_15804]) ).
tff(c_40,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_15684,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15637,c_40]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_15650,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15637,c_38]) ).
tff(c_15654,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15650,c_4]) ).
tff(c_15729,plain,
! [Z_178] : ( multiply(sk_c7,multiply(sk_c3,Z_178)) = multiply(identity,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_15654,c_15702]) ).
tff(c_15748,plain,
! [Z_179] : ( multiply(sk_c7,multiply(sk_c3,Z_179)) = Z_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15729]) ).
tff(c_15760,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15684,c_15748]) ).
tff(c_15810,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15808,c_15808,c_15760]) ).
tff(c_16406,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15810,c_15746]) ).
tff(c_16412,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16406]) ).
tff(c_15880,plain,
! [X_182,Z_183] : ( multiply(inverse(X_182),multiply(X_182,Z_183)) = Z_183 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15735]) ).
tff(c_16071,plain,
! [X_185,Z_186] : ( multiply(inverse(inverse(X_185)),Z_186) = multiply(X_185,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_15746,c_15880]) ).
tff(c_15922,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15880]) ).
tff(c_16078,plain,
! [X_185] : ( multiply(X_185,identity) = X_185 ),
inference(superposition,[status(thm),theory(equality)],[c_16071,c_15922]) ).
tff(c_15904,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15810,c_15880]) ).
tff(c_15931,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15904]) ).
tff(c_15672,plain,
inverse(sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_15765,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15672,c_48]) ).
tff(c_15766,plain,
! [X3_7] : ( multiply(X3_7,sk_c7) != sk_c6 ),
inference(splitLeft,[status(thm)],[c_15765]) ).
tff(c_15783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15766,c_15760]) ).
tff(c_15784,plain,
! [X5_6,X1_8,X4_10] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_15765]) ).
tff(c_15826,plain,
! [X5_6,X1_8,X4_10] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15808,c_15808,c_15808,c_15808,c_15808,c_15808,c_15808,c_15784]) ).
tff(c_15827,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_15826]) ).
tff(c_16330,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16078,c_15931,c_15931,c_15931,c_15827]) ).
tff(c_15818,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15808,c_15650]) ).
tff(c_15831,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15818,c_4]) ).
tff(c_15951,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15931,c_15831]) ).
tff(c_15940,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15931,c_15818]) ).
tff(c_15956,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15951,c_15940]) ).
tff(c_16332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16330,c_15956]) ).
tff(c_16333,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_15826]) ).
tff(c_24869,plain,
! [X1_8,X5_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16515,c_16412,c_16412,c_2,c_16412,c_16412,c_16412,c_16515,c_16412,c_16412,c_16333]) ).
tff(c_24871,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_24869]) ).
tff(c_16337,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15818,c_4]) ).
tff(c_16426,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16412,c_16337]) ).
tff(c_16419,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16412,c_15818]) ).
tff(c_16445,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16426,c_16419]) ).
tff(c_24873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24871,c_16445]) ).
tff(c_24875,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_24869]) ).
tff(c_24877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24875,c_16445]) ).
tff(c_24878,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_24900,plain,
! [X_288,Y_289,Z_290] : ( multiply(multiply(X_288,Y_289),Z_290) = multiply(X_288,multiply(Y_289,Z_290)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24927,plain,
! [Z_290] : ( multiply(sk_c7,multiply(sk_c4,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_15641,c_24900]) ).
tff(c_24965,plain,
! [Z_292] : ( multiply(sk_c7,multiply(sk_c4,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24927]) ).
tff(c_24977,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24878,c_24965]) ).
tff(c_24981,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15663,c_24977]) ).
tff(c_24879,plain,
inverse(sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_24887,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24879,c_10]) ).
tff(c_24924,plain,
! [Z_290] : ( multiply(sk_c7,multiply(sk_c3,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_15654,c_24900]) ).
tff(c_24942,plain,
! [Z_291] : ( multiply(sk_c7,multiply(sk_c3,Z_291)) = Z_291 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24924]) ).
tff(c_24954,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24887,c_24942]) ).
tff(c_24983,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24981,c_24981,c_24954]) ).
tff(c_24930,plain,
! [X_2,Z_290] : ( multiply(inverse(X_2),multiply(X_2,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24900]) ).
tff(c_24940,plain,
! [X_2,Z_290] : ( multiply(inverse(X_2),multiply(X_2,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24930]) ).
tff(c_25096,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24983,c_24940]) ).
tff(c_25102,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25096]) ).
tff(c_24990,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24981,c_15650]) ).
tff(c_25018,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24990,c_4]) ).
tff(c_25119,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25102,c_25018]) ).
tff(c_25108,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25102,c_24990]) ).
tff(c_25128,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25119,c_25108]) ).
tff(c_24987,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24981,c_24879]) ).
tff(c_25110,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25102,c_25102,c_24987]) ).
tff(c_25142,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25128,c_25110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP234-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % 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
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Thu Aug 3 22:13:36 EDT 2023
% 0.08/0.29 % CPUTime :
% 10.63/3.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.63/3.73
% 10.63/3.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.20/3.82
% 11.20/3.82 Inference rules
% 11.20/3.82 ----------------------
% 11.20/3.82 #Ref : 0
% 11.20/3.82 #Sup : 6118
% 11.20/3.82 #Fact : 0
% 11.20/3.82 #Define : 0
% 11.20/3.82 #Split : 15
% 11.20/3.82 #Chain : 0
% 11.20/3.82 #Close : 0
% 11.20/3.82
% 11.20/3.82 Ordering : KBO
% 11.20/3.82
% 11.20/3.82 Simplification rules
% 11.20/3.82 ----------------------
% 11.20/3.82 #Subsume : 4
% 11.20/3.82 #Demod : 17116
% 11.20/3.82 #Tautology : 4979
% 11.20/3.82 #SimpNegUnit : 26
% 11.20/3.82 #BackRed : 167
% 11.20/3.82
% 11.20/3.82 #Partial instantiations: 0
% 11.20/3.82 #Strategies tried : 1
% 11.20/3.82
% 11.20/3.82 Timing (in seconds)
% 11.20/3.82 ----------------------
% 11.20/3.82 Preprocessing : 0.48
% 11.20/3.82 Parsing : 0.21
% 11.20/3.82 CNF conversion : 0.02
% 11.20/3.82 Main loop : 2.37
% 11.20/3.82 Inferencing : 0.73
% 11.20/3.82 Reduction : 1.18
% 11.20/3.82 Demodulation : 1.06
% 11.20/3.82 BG Simplification : 0.07
% 11.20/3.82 Subsumption : 0.24
% 11.20/3.82 Abstraction : 0.14
% 11.20/3.82 MUC search : 0.00
% 11.20/3.82 Cooper : 0.00
% 11.20/3.82 Total : 2.97
% 11.20/3.82 Index Insertion : 0.00
% 11.20/3.82 Index Deletion : 0.00
% 11.20/3.82 Index Matching : 0.00
% 11.20/3.82 BG Taut test : 0.00
%------------------------------------------------------------------------------