TSTP Solution File: GRP278-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP278-1 : 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/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 : n009.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 10:40:45 EDT 2023
% Result : Unsatisfiable 6.21s 2.55s
% Output : CNFRefutation 6.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 33
% Syntax : Number of formulae : 389 ( 314 unt; 9 typ; 0 def)
% Number of atoms : 490 ( 471 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 243 ( 133 ~; 110 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 4 ( 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 148 (; 148 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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_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_104,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c3) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
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_74,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( inverse(sk_c3) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
! [X2,X1,X3] :
( ( multiply(X2,sk_c6) != sk_c5 )
| ( inverse(X2) != sk_c6 )
| ( inverse(sk_c4) != sk_c5 )
| ( multiply(sk_c6,sk_c4) != sk_c5 )
| ( multiply(sk_c5,sk_c6) != sk_c4 )
| ( inverse(X1) != sk_c6 )
| ( multiply(X1,sk_c5) != sk_c6 )
| ( inverse(X3) != sk_c5 )
| ( multiply(X3,sk_c4) != sk_c5 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c5,sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( multiply(sk_c5,sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c3) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c5,sk_c6) = sk_c4 ) ),
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_34,plain,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_65,plain,
inverse(sk_c4) = sk_c5,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_69,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_20,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_78,plain,
inverse(sk_c1) = sk_c6,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_82,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78,c_4]) ).
tff(c_1704,plain,
! [X_47,Y_48,Z_49] : ( multiply(multiply(X_47,Y_48),Z_49) = multiply(X_47,multiply(Y_48,Z_49)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1743,plain,
! [X_2,Z_49] : ( multiply(inverse(X_2),multiply(X_2,Z_49)) = multiply(identity,Z_49) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1704]) ).
tff(c_2797,plain,
! [X_69,Z_70] : ( multiply(inverse(X_69),multiply(X_69,Z_70)) = Z_70 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1743]) ).
tff(c_2863,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_82,c_2797]) ).
tff(c_14,plain,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_100,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_115,plain,
! [X_11,Y_12,Z_13] : ( multiply(multiply(X_11,Y_12),Z_13) = multiply(X_11,multiply(Y_12,Z_13)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_136,plain,
! [Z_13] : ( multiply(sk_c6,multiply(sk_c1,Z_13)) = multiply(identity,Z_13) ),
inference(superposition,[status(thm),theory(equality)],[c_82,c_115]) ).
tff(c_429,plain,
! [Z_22] : ( multiply(sk_c6,multiply(sk_c1,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136]) ).
tff(c_441,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_100,c_429]) ).
tff(c_142,plain,
! [X_2,Z_13] : ( multiply(inverse(X_2),multiply(X_2,Z_13)) = multiply(identity,Z_13) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_115]) ).
tff(c_452,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_142]) ).
tff(c_470,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_441,c_452]) ).
tff(c_513,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_470]) ).
tff(c_629,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_513,c_441]) ).
tff(c_636,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_513,c_65]) ).
tff(c_648,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_636,c_4]) ).
tff(c_152,plain,
! [X_2,Z_13] : ( multiply(inverse(X_2),multiply(X_2,Z_13)) = Z_13 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_142]) ).
tff(c_670,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_648,c_152]) ).
tff(c_682,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_670]) ).
tff(c_44,plain,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_93,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_634,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_513,c_93]) ).
tff(c_1180,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_629,c_682,c_634]) ).
tff(c_1282,plain,
! [X_38,Z_39] : ( multiply(inverse(inverse(X_38)),Z_39) = multiply(X_38,Z_39) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_452]) ).
tff(c_506,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_452]) ).
tff(c_1289,plain,
! [X_38] : ( multiply(X_38,identity) = X_38 ),
inference(superposition,[status(thm),theory(equality)],[c_1282,c_506]) ).
tff(c_811,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_452,c_152]) ).
tff(c_818,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_811,c_506]) ).
tff(c_720,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_629,c_682,c_634]) ).
tff(c_525,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_513,c_65]) ).
tff(c_537,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_525,c_4]) ).
tff(c_559,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_537,c_152]) ).
tff(c_571,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_559]) ).
tff(c_575,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_571,c_525]) ).
tff(c_157,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c1,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136]) ).
tff(c_169,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_100,c_157]) ).
tff(c_193,plain,
! [X_16,Z_17] : ( multiply(inverse(X_16),multiply(X_16,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_142]) ).
tff(c_214,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_169,c_193]) ).
tff(c_248,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_214]) ).
tff(c_275,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_65]) ).
tff(c_288,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_275,c_4]) ).
tff(c_295,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_288,c_152]) ).
tff(c_307,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_295]) ).
tff(c_48,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c4 )
| ( multiply(sk_c6,sk_c4) != sk_c5 )
| ( inverse(sk_c4) != sk_c5 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_155,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c4 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65,c_93,c_48]) ).
tff(c_156,plain,
multiply(sk_c5,sk_c6) != sk_c4,
inference(splitLeft,[status(thm)],[c_155]) ).
tff(c_271,plain,
multiply(identity,sk_c6) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_156]) ).
tff(c_277,plain,
sk_c6 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_271]) ).
tff(c_312,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_277]) ).
tff(c_270,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_169]) ).
tff(c_273,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_93]) ).
tff(c_392,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_270,c_307,c_273]) ).
tff(c_393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312,c_392]) ).
tff(c_394,plain,
! [X2_6,X1_7,X3_8] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_155]) ).
tff(c_517,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_394]) ).
tff(c_608,plain,
! [X3_25] :
( ( multiply(X3_25,identity) != identity )
| ( inverse(X3_25) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_513,c_571,c_513,c_517]) ).
tff(c_619,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_608]) ).
tff(c_627,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_575,c_575,c_619]) ).
tff(c_628,plain,
! [X1_7,X2_6] :
( ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_718,plain,
! [X1_7,X2_6] :
( ( multiply(X1_7,identity) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_513,c_513,c_628]) ).
tff(c_719,plain,
! [X2_6] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != identity ) ),
inference(splitLeft,[status(thm)],[c_718]) ).
tff(c_1176,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_818,c_720,c_720,c_719]) ).
tff(c_686,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_682,c_636]) ).
tff(c_1178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1176,c_686]) ).
tff(c_1179,plain,
! [X1_7] :
( ( multiply(X1_7,identity) != sk_c6 )
| ( inverse(X1_7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_718]) ).
tff(c_1655,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1180,c_1289,c_1180,c_1179]) ).
tff(c_1657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1655,c_686]) ).
tff(c_1659,plain,
multiply(sk_c1,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_10,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1673,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_1659,c_10]) ).
tff(c_3103,plain,
! [X_74] : ( multiply(inverse(inverse(X_74)),identity) = X_74 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2797]) ).
tff(c_3118,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1673,c_3103]) ).
tff(c_3131,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2863,c_3118]) ).
tff(c_12,plain,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_1686,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_1659,c_12]) ).
tff(c_3135,plain,
multiply(sk_c1,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3131,c_1686]) ).
tff(c_1658,plain,
inverse(sk_c3) = sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_1693,plain,
multiply(sk_c3,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_1659,c_16]) ).
tff(c_8,plain,
( ( multiply(sk_c5,sk_c6) = sk_c4 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1698,plain,
multiply(sk_c5,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_1659,c_8]) ).
tff(c_1784,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65,c_93,c_1698,c_48]) ).
tff(c_1832,plain,
! [X2_54] :
( ( inverse(X2_54) != sk_c6 )
| ( multiply(X2_54,sk_c6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_1784]) ).
tff(c_1846,plain,
( ( inverse(inverse(sk_c6)) != sk_c6 )
| ( sk_c5 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1832]) ).
tff(c_1854,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_1846]) ).
tff(c_1663,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1658,c_4]) ).
tff(c_1855,plain,
! [X_55,Z_56] : ( multiply(inverse(X_55),multiply(X_55,Z_56)) = Z_56 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1743]) ).
tff(c_1909,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1663,c_1855]) ).
tff(c_1924,plain,
multiply(inverse(sk_c5),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_69,c_1855]) ).
tff(c_2099,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_1909,c_1924]) ).
tff(c_2118,plain,
multiply(sk_c3,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2099,c_1693]) ).
tff(c_1722,plain,
! [Z_49] : ( multiply(sk_c3,multiply(sk_c4,Z_49)) = multiply(sk_c5,Z_49) ),
inference(superposition,[status(thm),theory(equality)],[c_1693,c_1704]) ).
tff(c_2183,plain,
! [Z_61] : ( multiply(sk_c3,multiply(sk_c3,Z_61)) = multiply(sk_c5,Z_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_2099,c_1722]) ).
tff(c_2207,plain,
multiply(sk_c5,sk_c3) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_2118,c_2183]) ).
tff(c_2214,plain,
multiply(sk_c3,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1663,c_2207]) ).
tff(c_1731,plain,
! [Z_49] : ( multiply(sk_c5,multiply(sk_c3,Z_49)) = multiply(identity,Z_49) ),
inference(superposition,[status(thm),theory(equality)],[c_1663,c_1704]) ).
tff(c_1752,plain,
! [Z_49] : ( multiply(sk_c5,multiply(sk_c3,Z_49)) = Z_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1731]) ).
tff(c_2250,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2214,c_1752]) ).
tff(c_2119,plain,
multiply(sk_c6,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2099,c_93]) ).
tff(c_1918,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_82,c_1855]) ).
tff(c_2041,plain,
! [X_59] : ( multiply(inverse(inverse(X_59)),identity) = X_59 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1855]) ).
tff(c_2056,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1673,c_2041]) ).
tff(c_2069,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1918,c_2056]) ).
tff(c_1725,plain,
! [Z_49] : ( multiply(sk_c2,multiply(sk_c5,Z_49)) = multiply(sk_c6,Z_49) ),
inference(superposition,[status(thm),theory(equality)],[c_1686,c_1704]) ).
tff(c_2261,plain,
! [Z_62] : ( multiply(sk_c1,multiply(sk_c5,Z_62)) = multiply(sk_c6,Z_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_2069,c_1725]) ).
tff(c_2291,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_1663,c_2261]) ).
tff(c_2297,plain,
multiply(sk_c1,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2119,c_2291]) ).
tff(c_1755,plain,
! [X_2,Z_49] : ( multiply(inverse(X_2),multiply(X_2,Z_49)) = Z_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1743]) ).
tff(c_2339,plain,
multiply(inverse(sk_c1),sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2297,c_1755]) ).
tff(c_2348,plain,
multiply(sk_c6,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78,c_2339]) ).
tff(c_1719,plain,
! [Z_49] : ( multiply(sk_c5,multiply(sk_c6,Z_49)) = multiply(sk_c4,Z_49) ),
inference(superposition,[status(thm),theory(equality)],[c_1698,c_1704]) ).
tff(c_2129,plain,
! [Z_49] : ( multiply(sk_c5,multiply(sk_c6,Z_49)) = multiply(sk_c3,Z_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_2099,c_1719]) ).
tff(c_2385,plain,
multiply(sk_c5,identity) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_2348,c_2129]) ).
tff(c_2394,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2250,c_2214,c_2385]) ).
tff(c_2396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1854,c_2394]) ).
tff(c_2398,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_1846]) ).
tff(c_1842,plain,
( ( inverse(sk_c5) != sk_c6 )
| ( sk_c5 != sk_c4 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1698,c_1832]) ).
tff(c_1853,plain,
sk_c5 != sk_c4,
inference(splitLeft,[status(thm)],[c_1842]) ).
tff(c_2399,plain,
sk_c4 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2398,c_1853]) ).
tff(c_1809,plain,
! [Z_53] : ( multiply(sk_c5,multiply(sk_c3,Z_53)) = Z_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1731]) ).
tff(c_1821,plain,
multiply(sk_c5,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_1693,c_1809]) ).
tff(c_2402,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2398,c_2398,c_1821]) ).
tff(c_2415,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2402]) ).
tff(c_2434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2399,c_2415]) ).
tff(c_2436,plain,
sk_c5 = sk_c4,
inference(splitRight,[status(thm)],[c_1842]) ).
tff(c_2520,plain,
( ( inverse(inverse(sk_c6)) != sk_c6 )
| ( sk_c4 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2436,c_1846]) ).
tff(c_2521,plain,
sk_c4 != identity,
inference(splitLeft,[status(thm)],[c_2520]) ).
tff(c_2450,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2436,c_69]) ).
tff(c_2439,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2436,c_2436,c_1821]) ).
tff(c_2522,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2450,c_2439]) ).
tff(c_2523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2521,c_2522]) ).
tff(c_2525,plain,
sk_c4 = identity,
inference(splitRight,[status(thm)],[c_2520]) ).
tff(c_1850,plain,
( ( inverse(identity) != sk_c6 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1832]) ).
tff(c_1852,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_1850]) ).
tff(c_2437,plain,
sk_c6 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2436,c_1852]) ).
tff(c_2535,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2525,c_2437]) ).
tff(c_2536,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2525,c_2436]) ).
tff(c_1734,plain,
! [Z_49] : ( multiply(sk_c6,multiply(sk_c4,Z_49)) = multiply(sk_c5,Z_49) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_1704]) ).
tff(c_2542,plain,
! [Z_49] : ( multiply(sk_c6,Z_49) = multiply(sk_c5,Z_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2525,c_1734]) ).
tff(c_2580,plain,
! [Z_49] : ( multiply(sk_c6,Z_49) = multiply(identity,Z_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_2536,c_2542]) ).
tff(c_2601,plain,
! [Z_65] : ( multiply(sk_c6,Z_65) = Z_65 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2580]) ).
tff(c_1677,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1673,c_4]) ).
tff(c_2616,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_2601,c_1677]) ).
tff(c_2445,plain,
multiply(sk_c2,sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2436,c_1686]) ).
tff(c_2526,plain,
multiply(sk_c2,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2525,c_2445]) ).
tff(c_2649,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2616,c_2526]) ).
tff(c_2653,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2649]) ).
tff(c_2655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2535,c_2653]) ).
tff(c_2657,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_1850]) ).
tff(c_2667,plain,
multiply(sk_c5,sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2657,c_93]) ).
tff(c_2672,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69,c_2667]) ).
tff(c_2678,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2672,c_2672,c_1821]) ).
tff(c_2686,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2678]) ).
tff(c_2685,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2672,c_65]) ).
tff(c_2703,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2686,c_2685]) ).
tff(c_2677,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2672,c_2657]) ).
tff(c_2656,plain,
inverse(identity) != sk_c6,
inference(splitRight,[status(thm)],[c_1850]) ).
tff(c_2736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2703,c_2677,c_2656]) ).
tff(c_2737,plain,
! [X1_7,X3_8] :
( ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_1784]) ).
tff(c_3037,plain,
! [X3_73] :
( ( multiply(X3_73,sk_c4) != sk_c5 )
| ( inverse(X3_73) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_2737]) ).
tff(c_3051,plain,
inverse(sk_c3) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_1693,c_3037]) ).
tff(c_3069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1658,c_3051]) ).
tff(c_3183,plain,
! [X1_75] :
( ( multiply(X1_75,sk_c5) != sk_c6 )
| ( inverse(X1_75) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_2737]) ).
tff(c_3186,plain,
inverse(sk_c1) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3135,c_3183]) ).
tff(c_3212,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78,c_3186]) ).
tff(c_3214,plain,
multiply(sk_c6,sk_c4) != sk_c5,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_3440,plain,
multiply(sk_c3,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3214,c_46]) ).
tff(c_3213,plain,
inverse(sk_c3) = sk_c5,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_3218,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3213,c_4]) ).
tff(c_3456,plain,
! [X_83,Y_84,Z_85] : ( multiply(multiply(X_83,Y_84),Z_85) = multiply(X_83,multiply(Y_84,Z_85)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3483,plain,
! [Z_85] : ( multiply(sk_c5,multiply(sk_c3,Z_85)) = multiply(identity,Z_85) ),
inference(superposition,[status(thm),theory(equality)],[c_3218,c_3456]) ).
tff(c_3557,plain,
! [Z_89] : ( multiply(sk_c5,multiply(sk_c3,Z_89)) = Z_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3483]) ).
tff(c_3569,plain,
multiply(sk_c5,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_3440,c_3557]) ).
tff(c_38,plain,
( ( multiply(sk_c5,sk_c6) = sk_c4 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_3261,plain,
multiply(sk_c5,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_3214,c_38]) ).
tff(c_42,plain,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_3254,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_3214,c_42]) ).
tff(c_40,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3230,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_3214,c_40]) ).
tff(c_3234,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3230,c_4]) ).
tff(c_3266,plain,
! [X_76,Y_77,Z_78] : ( multiply(multiply(X_76,Y_77),Z_78) = multiply(X_76,multiply(Y_77,Z_78)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3293,plain,
! [Z_78] : ( multiply(sk_c6,multiply(sk_c2,Z_78)) = multiply(identity,Z_78) ),
inference(superposition,[status(thm),theory(equality)],[c_3234,c_3266]) ).
tff(c_3393,plain,
! [Z_82] : ( multiply(sk_c6,multiply(sk_c2,Z_82)) = Z_82 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3293]) ).
tff(c_3408,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3254,c_3393]) ).
tff(c_3244,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_3290,plain,
! [Z_78] : ( multiply(sk_c1,multiply(sk_c6,Z_78)) = multiply(sk_c5,Z_78) ),
inference(superposition,[status(thm),theory(equality)],[c_3244,c_3266]) ).
tff(c_3415,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c1,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_3408,c_3290]) ).
tff(c_3421,plain,
multiply(sk_c1,sk_c5) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_3261,c_3415]) ).
tff(c_3299,plain,
! [Z_78] : ( multiply(sk_c6,multiply(sk_c1,Z_78)) = multiply(identity,Z_78) ),
inference(superposition,[status(thm),theory(equality)],[c_82,c_3266]) ).
tff(c_3315,plain,
! [Z_78] : ( multiply(sk_c6,multiply(sk_c1,Z_78)) = Z_78 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3299]) ).
tff(c_3426,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3421,c_3315]) ).
tff(c_3433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3214,c_3426]) ).
tff(c_3434,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_3480,plain,
! [Z_85] : ( multiply(sk_c6,multiply(sk_c2,Z_85)) = multiply(identity,Z_85) ),
inference(superposition,[status(thm),theory(equality)],[c_3234,c_3456]) ).
tff(c_3532,plain,
! [Z_88] : ( multiply(sk_c6,multiply(sk_c2,Z_88)) = Z_88 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3480]) ).
tff(c_3544,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3434,c_3532]) ).
tff(c_3435,plain,
multiply(sk_c1,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_3449,plain,
multiply(sk_c5,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_3435,c_8]) ).
tff(c_3580,plain,
! [Z_90] : ( multiply(sk_c5,multiply(sk_c6,Z_90)) = multiply(sk_c4,Z_90) ),
inference(superposition,[status(thm),theory(equality)],[c_3449,c_3456]) ).
tff(c_3592,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_3544,c_3580]) ).
tff(c_3608,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_3569,c_3592]) ).
tff(c_3489,plain,
! [Z_85] : ( multiply(sk_c5,multiply(sk_c4,Z_85)) = multiply(identity,Z_85) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_3456]) ).
tff(c_3503,plain,
! [Z_85] : ( multiply(sk_c5,multiply(sk_c4,Z_85)) = Z_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3489]) ).
tff(c_3612,plain,
multiply(sk_c5,sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3608,c_3503]) ).
tff(c_3618,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69,c_3612]) ).
tff(c_3622,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3618,c_3618,c_3544]) ).
tff(c_3634,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3622]) ).
tff(c_3630,plain,
multiply(identity,sk_c4) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3618,c_3214]) ).
tff(c_3635,plain,
sk_c5 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3630]) ).
tff(c_3653,plain,
sk_c4 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_3634,c_3635]) ).
tff(c_3640,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_3634,c_3634,c_3569]) ).
tff(c_3648,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3640]) ).
tff(c_3654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3653,c_3648]) ).
tff(c_3655,plain,
inverse(sk_c2) = sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_3656,plain,
inverse(sk_c1) != sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_22,plain,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_3685,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_3656,c_22]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_3668,plain,
inverse(sk_c3) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3656,c_24]) ).
tff(c_3672,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3668,c_4]) ).
tff(c_3660,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3655,c_4]) ).
tff(c_3708,plain,
! [X_91,Y_92,Z_93] : ( multiply(multiply(X_91,Y_92),Z_93) = multiply(X_91,multiply(Y_92,Z_93)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3741,plain,
! [X_2,Z_93] : ( multiply(inverse(X_2),multiply(X_2,Z_93)) = multiply(identity,Z_93) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3708]) ).
tff(c_4381,plain,
! [X_111,Z_112] : ( multiply(inverse(X_111),multiply(X_111,Z_112)) = Z_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3741]) ).
tff(c_4435,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_3660,c_4381]) ).
tff(c_4426,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_3672,c_4381]) ).
tff(c_4441,plain,
multiply(inverse(sk_c5),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_69,c_4381]) ).
tff(c_4507,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4426,c_4441]) ).
tff(c_3816,plain,
! [X_97,Z_98] : ( multiply(inverse(X_97),multiply(X_97,Z_98)) = Z_98 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3741]) ).
tff(c_3858,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_3672,c_3816]) ).
tff(c_3873,plain,
multiply(inverse(sk_c5),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_69,c_3816]) ).
tff(c_3996,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_3858,c_3873]) ).
tff(c_26,plain,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_3694,plain,
multiply(sk_c3,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3656,c_26]) ).
tff(c_3729,plain,
! [Z_93] : ( multiply(sk_c5,multiply(sk_c3,Z_93)) = multiply(identity,Z_93) ),
inference(superposition,[status(thm),theory(equality)],[c_3672,c_3708]) ).
tff(c_3754,plain,
! [Z_94] : ( multiply(sk_c5,multiply(sk_c3,Z_94)) = Z_94 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3729]) ).
tff(c_3766,plain,
multiply(sk_c5,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_3694,c_3754]) ).
tff(c_4011,plain,
multiply(sk_c5,sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_3996,c_3766]) ).
tff(c_3735,plain,
! [Z_93] : ( multiply(sk_c6,multiply(sk_c2,Z_93)) = multiply(identity,Z_93) ),
inference(superposition,[status(thm),theory(equality)],[c_3660,c_3708]) ).
tff(c_3780,plain,
! [Z_95] : ( multiply(sk_c6,multiply(sk_c2,Z_95)) = Z_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3735]) ).
tff(c_3792,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3685,c_3780]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c6) = sk_c4 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_3676,plain,
multiply(sk_c5,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_3656,c_18]) ).
tff(c_3732,plain,
! [Z_93] : ( multiply(sk_c5,multiply(sk_c6,Z_93)) = multiply(sk_c4,Z_93) ),
inference(superposition,[status(thm),theory(equality)],[c_3676,c_3708]) ).
tff(c_4106,plain,
! [Z_103] : ( multiply(sk_c5,multiply(sk_c6,Z_103)) = multiply(sk_c3,Z_103) ),
inference(demodulation,[status(thm),theory(equality)],[c_3996,c_3732]) ).
tff(c_4124,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_3792,c_4106]) ).
tff(c_4134,plain,
multiply(sk_c3,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4011,c_4124]) ).
tff(c_3752,plain,
! [X_2,Z_93] : ( multiply(inverse(X_2),multiply(X_2,Z_93)) = Z_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3741]) ).
tff(c_4154,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_4134,c_3752]) ).
tff(c_4163,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4154]) ).
tff(c_4173,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4163,c_4163,c_3792]) ).
tff(c_4183,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4173]) ).
tff(c_4205,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4183,c_3858]) ).
tff(c_4210,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4205]) ).
tff(c_3778,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(sk_c6,sk_c4) != sk_c5 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65,c_3676,c_48]) ).
tff(c_3779,plain,
multiply(sk_c6,sk_c4) != sk_c5,
inference(splitLeft,[status(thm)],[c_3778]) ).
tff(c_4010,plain,
multiply(sk_c6,sk_c3) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3996,c_3779]) ).
tff(c_4170,plain,
multiply(identity,sk_c3) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4163,c_4010]) ).
tff(c_4181,plain,
sk_c5 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4170]) ).
tff(c_4257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4210,c_4183,c_4181]) ).
tff(c_4259,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_3778]) ).
tff(c_4547,plain,
multiply(sk_c6,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4507,c_4259]) ).
tff(c_4668,plain,
! [Z_116] : ( multiply(sk_c2,multiply(sk_c5,Z_116)) = multiply(sk_c6,Z_116) ),
inference(superposition,[status(thm),theory(equality)],[c_3685,c_3708]) ).
tff(c_4695,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_3672,c_4668]) ).
tff(c_4701,plain,
multiply(sk_c2,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4547,c_4695]) ).
tff(c_4705,plain,
multiply(inverse(sk_c2),sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4701,c_3752]) ).
tff(c_4714,plain,
multiply(sk_c6,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3655,c_4705]) ).
tff(c_4734,plain,
multiply(inverse(sk_c6),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_4714,c_3752]) ).
tff(c_4740,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_4435,c_4734]) ).
tff(c_4258,plain,
! [X2_6,X1_7,X3_8] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_3778]) ).
tff(c_4317,plain,
! [X3_108] :
( ( multiply(X3_108,sk_c4) != sk_c5 )
| ( inverse(X3_108) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_4258]) ).
tff(c_4327,plain,
inverse(sk_c3) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3694,c_4317]) ).
tff(c_4343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3668,c_4327]) ).
tff(c_4344,plain,
! [X1_7,X2_6] :
( ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_4258]) ).
tff(c_4595,plain,
! [X2_115] :
( ( inverse(X2_115) != sk_c6 )
| ( multiply(X2_115,sk_c6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_4344]) ).
tff(c_4617,plain,
( ( inverse(identity) != sk_c6 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4595]) ).
tff(c_4630,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_4617]) ).
tff(c_4750,plain,
sk_c6 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_4740,c_4630]) ).
tff(c_4358,plain,
! [Z_110] : ( multiply(sk_c6,multiply(sk_c2,Z_110)) = Z_110 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3735]) ).
tff(c_4370,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3685,c_4358]) ).
tff(c_4550,plain,
multiply(sk_c5,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4507,c_3676]) ).
tff(c_4689,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_4550,c_4668]) ).
tff(c_4700,plain,
multiply(sk_c2,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4370,c_4689]) ).
tff(c_3750,plain,
! [Z_93] : ( multiply(sk_c6,multiply(sk_c2,Z_93)) = Z_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3735]) ).
tff(c_4723,plain,
multiply(sk_c6,sk_c5) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_4700,c_3750]) ).
tff(c_4840,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3660,c_4740,c_4723]) ).
tff(c_4844,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4840,c_4507]) ).
tff(c_3723,plain,
! [Z_93] : ( multiply(sk_c3,multiply(sk_c4,Z_93)) = multiply(sk_c5,Z_93) ),
inference(superposition,[status(thm),theory(equality)],[c_3694,c_3708]) ).
tff(c_4870,plain,
! [Z_93] : ( multiply(sk_c2,Z_93) = Z_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4844,c_2,c_4840,c_4740,c_3723]) ).
tff(c_4759,plain,
multiply(sk_c2,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4740,c_3685]) ).
tff(c_4871,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_4870,c_4759]) ).
tff(c_4874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4750,c_4871]) ).
tff(c_4876,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_4617]) ).
tff(c_4880,plain,
multiply(sk_c5,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4876,c_4547]) ).
tff(c_4888,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3672,c_4880]) ).
tff(c_4894,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4888,c_4876]) ).
tff(c_4875,plain,
inverse(identity) != sk_c6,
inference(splitRight,[status(thm)],[c_4617]) ).
tff(c_4945,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_4894,c_4875]) ).
tff(c_4450,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4381]) ).
tff(c_4897,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4888,c_4426]) ).
tff(c_4902,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4897]) ).
tff(c_4900,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4888,c_3668]) ).
tff(c_4946,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4902,c_4900]) ).
tff(c_4947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4945,c_4946]) ).
tff(c_5044,plain,
! [X1_119] :
( ( multiply(X1_119,sk_c5) != sk_c6 )
| ( inverse(X1_119) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_4344]) ).
tff(c_5055,plain,
inverse(sk_c2) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3685,c_5044]) ).
tff(c_5067,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3655,c_5055]) ).
tff(c_5069,plain,
inverse(sk_c4) != sk_c5,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_5117,plain,
multiply(sk_c3,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_5069,c_36]) ).
tff(c_5068,plain,
inverse(sk_c3) = sk_c5,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_5073,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5068,c_4]) ).
tff(c_5134,plain,
! [X_120,Y_121,Z_122] : ( multiply(multiply(X_120,Y_121),Z_122) = multiply(X_120,multiply(Y_121,Z_122)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_5164,plain,
! [Z_122] : ( multiply(sk_c5,multiply(sk_c3,Z_122)) = multiply(identity,Z_122) ),
inference(superposition,[status(thm),theory(equality)],[c_5073,c_5134]) ).
tff(c_5203,plain,
! [Z_124] : ( multiply(sk_c5,multiply(sk_c3,Z_124)) = Z_124 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5164]) ).
tff(c_5215,plain,
multiply(sk_c5,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_5117,c_5203]) ).
tff(c_32,plain,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_5103,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_5069,c_32]) ).
tff(c_30,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_5081,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_5069,c_30]) ).
tff(c_5085,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5081,c_4]) ).
tff(c_5161,plain,
! [Z_122] : ( multiply(sk_c6,multiply(sk_c2,Z_122)) = multiply(identity,Z_122) ),
inference(superposition,[status(thm),theory(equality)],[c_5085,c_5134]) ).
tff(c_5180,plain,
! [Z_123] : ( multiply(sk_c6,multiply(sk_c2,Z_123)) = Z_123 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5161]) ).
tff(c_5192,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_5103,c_5180]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c6) = sk_c4 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_5122,plain,
multiply(sk_c5,sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_5069,c_28]) ).
tff(c_5407,plain,
! [Z_129] : ( multiply(sk_c5,multiply(sk_c6,Z_129)) = multiply(sk_c4,Z_129) ),
inference(superposition,[status(thm),theory(equality)],[c_5122,c_5134]) ).
tff(c_5425,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_5192,c_5407]) ).
tff(c_5432,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_5215,c_5425]) ).
tff(c_5167,plain,
! [X_2,Z_122] : ( multiply(inverse(X_2),multiply(X_2,Z_122)) = multiply(identity,Z_122) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_5134]) ).
tff(c_5178,plain,
! [X_2,Z_122] : ( multiply(inverse(X_2),multiply(X_2,Z_122)) = Z_122 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5167]) ).
tff(c_5451,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_5432,c_5178]) ).
tff(c_5457,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5451]) ).
tff(c_5465,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_5457,c_5457,c_5192]) ).
tff(c_5471,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5465]) ).
tff(c_5497,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_5471,c_5471,c_5215]) ).
tff(c_5504,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5497]) ).
tff(c_5501,plain,
inverse(sk_c4) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_5471,c_5069]) ).
tff(c_5527,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_5504,c_5501]) ).
tff(c_5241,plain,
! [X_126,Z_127] : ( multiply(inverse(X_126),multiply(X_126,Z_127)) = Z_127 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5167]) ).
tff(c_5298,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_5073,c_5241]) ).
tff(c_5496,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_5471,c_5298]) ).
tff(c_5503,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5496]) ).
tff(c_5502,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5471,c_5068]) ).
tff(c_5528,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5503,c_5502]) ).
tff(c_5529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5527,c_5528]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:08:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.21/2.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.21/2.59
% 6.21/2.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.56/2.65
% 6.56/2.65 Inference rules
% 6.56/2.65 ----------------------
% 6.56/2.65 #Ref : 0
% 6.56/2.65 #Sup : 1468
% 6.56/2.65 #Fact : 0
% 6.56/2.65 #Define : 0
% 6.56/2.65 #Split : 20
% 6.56/2.65 #Chain : 0
% 6.56/2.65 #Close : 0
% 6.56/2.65
% 6.56/2.65 Ordering : KBO
% 6.56/2.65
% 6.56/2.65 Simplification rules
% 6.56/2.65 ----------------------
% 6.56/2.65 #Subsume : 6
% 6.56/2.65 #Demod : 1343
% 6.56/2.65 #Tautology : 1082
% 6.56/2.65 #SimpNegUnit : 33
% 6.56/2.65 #BackRed : 283
% 6.56/2.65
% 6.56/2.65 #Partial instantiations: 0
% 6.56/2.65 #Strategies tried : 1
% 6.56/2.65
% 6.56/2.65 Timing (in seconds)
% 6.56/2.65 ----------------------
% 6.56/2.65 Preprocessing : 0.47
% 6.56/2.65 Parsing : 0.21
% 6.56/2.65 CNF conversion : 0.02
% 6.56/2.65 Main loop : 1.00
% 6.56/2.65 Inferencing : 0.36
% 6.56/2.65 Reduction : 0.34
% 6.56/2.65 Demodulation : 0.26
% 6.56/2.65 BG Simplification : 0.04
% 6.56/2.65 Subsumption : 0.15
% 6.56/2.65 Abstraction : 0.04
% 6.56/2.65 MUC search : 0.00
% 6.56/2.65 Cooper : 0.00
% 6.56/2.65 Total : 1.57
% 6.56/2.65 Index Insertion : 0.00
% 6.56/2.65 Index Deletion : 0.00
% 6.56/2.65 Index Matching : 0.00
% 6.56/2.65 BG Taut test : 0.00
%------------------------------------------------------------------------------