TSTP Solution File: GRP219-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP219-1 : 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 : n027.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 10:40:31 EDT 2023
% Result : Unsatisfiable 37.90s 26.03s
% Output : CNFRefutation 38.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 45
% Syntax : Number of formulae : 922 ( 785 unt; 12 typ; 0 def)
% Number of atoms : 1206 (1152 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 679 ( 383 ~; 296 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 539 (; 539 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > 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(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
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_131,axiom,
( ( multiply(sk_c9,sk_c5) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c4,sk_c9) = sk_c5 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c9,sk_c5) = sk_c8 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( inverse(X3) != sk_c9 )
| ( multiply(X3,sk_c8) != sk_c9 )
| ( multiply(X4,X5) != sk_c8 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c9) != sk_c8 )
| ( multiply(sk_c9,X6) != sk_c8 )
| ( multiply(X7,sk_c9) != X6 )
| ( inverse(X7) != sk_c9 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X1,sk_c8) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c4,sk_c9) = sk_c5 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c9,sk_c5) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c4,sk_c9) = sk_c5 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_218442,plain,
! [X_1745,Y_1746,Z_1747] : ( multiply(multiply(X_1745,Y_1746),Z_1747) = multiply(X_1745,multiply(Y_1746,Z_1747)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_218475,plain,
! [X_2,Z_1747] : ( multiply(inverse(X_2),multiply(X_2,Z_1747)) = multiply(identity,Z_1747) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_218442]) ).
tff(c_219801,plain,
! [X_1774,Z_1775] : ( multiply(inverse(X_1774),multiply(X_1774,Z_1775)) = Z_1775 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218475]) ).
tff(c_218487,plain,
! [X_2,Z_1747] : ( multiply(inverse(X_2),multiply(X_2,Z_1747)) = Z_1747 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218475]) ).
tff(c_220149,plain,
! [X_1780,Z_1781] : ( multiply(inverse(inverse(X_1780)),Z_1781) = multiply(X_1780,Z_1781) ),
inference(superposition,[status(thm),theory(equality)],[c_219801,c_218487]) ).
tff(c_220196,plain,
! [X_1780] : ( multiply(X_1780,inverse(X_1780)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_220149]) ).
tff(c_190415,plain,
! [X_1534,Y_1535,Z_1536] : ( multiply(multiply(X_1534,Y_1535),Z_1536) = multiply(X_1534,multiply(Y_1535,Z_1536)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_190445,plain,
! [X_2,Z_1536] : ( multiply(inverse(X_2),multiply(X_2,Z_1536)) = multiply(identity,Z_1536) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_190415]) ).
tff(c_190456,plain,
! [X_2,Z_1536] : ( multiply(inverse(X_2),multiply(X_2,Z_1536)) = Z_1536 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190445]) ).
tff(c_190578,plain,
! [X_1543,Z_1544] : ( multiply(inverse(X_1543),multiply(X_1543,Z_1544)) = Z_1544 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190445]) ).
tff(c_191470,plain,
! [X_1560,Z_1561] : ( multiply(inverse(inverse(X_1560)),Z_1561) = multiply(X_1560,Z_1561) ),
inference(superposition,[status(thm),theory(equality)],[c_190456,c_190578]) ).
tff(c_191491,plain,
! [X_1560] : ( multiply(X_1560,inverse(X_1560)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_191470,c_4]) ).
tff(c_52,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c5) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_29028,plain,
multiply(sk_c9,sk_c5) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_62,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_28999,plain,
multiply(sk_c4,sk_c9) = sk_c5,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_70,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_89,plain,
inverse(sk_c4) = sk_c9,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_93,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89,c_4]) ).
tff(c_29043,plain,
! [X_343,Y_344,Z_345] : ( multiply(multiply(X_343,Y_344),Z_345) = multiply(X_343,multiply(Y_344,Z_345)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29088,plain,
! [Z_345] : ( multiply(sk_c9,multiply(sk_c4,Z_345)) = multiply(identity,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_29043]) ).
tff(c_29548,plain,
! [Z_357] : ( multiply(sk_c9,multiply(sk_c4,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29088]) ).
tff(c_29560,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_28999,c_29548]) ).
tff(c_29564,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29028,c_29560]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_135,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_8,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_113,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_118,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_113,c_4]) ).
tff(c_29082,plain,
! [Z_345] : ( multiply(sk_c9,multiply(sk_c1,Z_345)) = multiply(identity,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_29043]) ).
tff(c_29106,plain,
! [Z_346] : ( multiply(sk_c9,multiply(sk_c1,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29082]) ).
tff(c_29118,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135,c_29106]) ).
tff(c_29566,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29564,c_29564,c_29118]) ).
tff(c_29091,plain,
! [X_2,Z_345] : ( multiply(inverse(X_2),multiply(X_2,Z_345)) = multiply(identity,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29043]) ).
tff(c_29701,plain,
! [X_359,Z_360] : ( multiply(inverse(X_359),multiply(X_359,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29091]) ).
tff(c_29728,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29566,c_29701]) ).
tff(c_29785,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29728]) ).
tff(c_29808,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29785,c_29564]) ).
tff(c_46,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_129,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_29079,plain,
! [Z_345] : ( multiply(sk_c3,multiply(sk_c9,Z_345)) = multiply(sk_c8,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_29043]) ).
tff(c_30032,plain,
! [Z_363] : ( multiply(sk_c3,Z_363) = Z_363 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29808,c_2,c_29785,c_29079]) ).
tff(c_38,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_101,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_105,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_101,c_4]) ).
tff(c_30047,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_30032,c_105]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_144,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_10629,plain,
! [X_155,Y_156,Z_157] : ( multiply(multiply(X_155,Y_156),Z_157) = multiply(X_155,multiply(Y_156,Z_157)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10668,plain,
! [Z_157] : ( multiply(sk_c3,multiply(sk_c2,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_105,c_10629]) ).
tff(c_10792,plain,
! [Z_163] : ( multiply(sk_c3,multiply(sk_c2,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10668]) ).
tff(c_10804,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_144,c_10792]) ).
tff(c_10665,plain,
! [Z_157] : ( multiply(sk_c9,multiply(sk_c1,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_10629]) ).
tff(c_10831,plain,
! [Z_165] : ( multiply(sk_c9,multiply(sk_c1,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10665]) ).
tff(c_10846,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135,c_10831]) ).
tff(c_149,plain,
multiply(sk_c4,sk_c9) = sk_c5,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_9590,plain,
! [X_129,Y_130,Z_131] : ( multiply(multiply(X_129,Y_130),Z_131) = multiply(X_129,multiply(Y_130,Z_131)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9635,plain,
! [Z_131] : ( multiply(sk_c9,multiply(sk_c4,Z_131)) = multiply(identity,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_9590]) ).
tff(c_9731,plain,
! [Z_135] : ( multiply(sk_c9,multiply(sk_c4,Z_135)) = Z_135 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9635]) ).
tff(c_9743,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_9731]) ).
tff(c_175,plain,
! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_214,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_175]) ).
tff(c_225,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_214]) ).
tff(c_1076,plain,
! [X_33,Z_34] : ( multiply(inverse(X_33),multiply(X_33,Z_34)) = Z_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_214]) ).
tff(c_1388,plain,
! [X_39,Z_40] : ( multiply(inverse(inverse(X_39)),Z_40) = multiply(X_39,Z_40) ),
inference(superposition,[status(thm),theory(equality)],[c_225,c_1076]) ).
tff(c_1433,plain,
! [X_39] : ( multiply(X_39,inverse(X_39)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1388]) ).
tff(c_1103,plain,
multiply(inverse(sk_c2),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_144,c_1076]) ).
tff(c_1119,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_101,c_1103]) ).
tff(c_1123,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_1119,c_225]) ).
tff(c_1129,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1123]) ).
tff(c_1112,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1076]) ).
tff(c_1399,plain,
! [X_39] : ( multiply(X_39,identity) = X_39 ),
inference(superposition,[status(thm),theory(equality)],[c_1388,c_1112]) ).
tff(c_454,plain,
! [X_22,Z_23] : ( multiply(inverse(X_22),multiply(X_22,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_214]) ).
tff(c_803,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_454,c_225]) ).
tff(c_511,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_454]) ).
tff(c_810,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_803,c_511]) ).
tff(c_54,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c9,sk_c5) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_157,plain,
multiply(sk_c9,sk_c5) = sk_c8,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_211,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c4,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_175]) ).
tff(c_354,plain,
! [Z_21] : ( multiply(sk_c9,multiply(sk_c4,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211]) ).
tff(c_366,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_354]) ).
tff(c_370,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_157,c_366]) ).
tff(c_205,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_175]) ).
tff(c_227,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205]) ).
tff(c_239,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135,c_227]) ).
tff(c_372,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_370,c_370,c_239]) ).
tff(c_472,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_372,c_454]) ).
tff(c_518,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_472]) ).
tff(c_251,plain,
! [Z_19] : ( multiply(sk_c9,multiply(sk_c4,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211]) ).
tff(c_263,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_251]) ).
tff(c_267,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_157,c_263]) ).
tff(c_276,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_267,c_113]) ).
tff(c_273,plain,
multiply(sk_c1,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_267,c_135]) ).
tff(c_72,plain,
! [X4_12,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_250,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_305,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_267,c_267,c_250]) ).
tff(c_343,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_273,c_305]) ).
tff(c_352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_276,c_343]) ).
tff(c_353,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_393,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_370,c_370,c_370,c_370,c_370,c_370,c_353]) ).
tff(c_394,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_393]) ).
tff(c_1065,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_810,c_518,c_518,c_518,c_394]) ).
tff(c_377,plain,
multiply(sk_c3,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_370,c_129]) ).
tff(c_502,plain,
multiply(inverse(sk_c2),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_144,c_454]) ).
tff(c_522,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_101,c_502]) ).
tff(c_558,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_518,c_522]) ).
tff(c_379,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_370,c_113]) ).
tff(c_530,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_522,c_379]) ).
tff(c_586,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_530]) ).
tff(c_593,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_586,c_4]) ).
tff(c_625,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_593,c_225]) ).
tff(c_637,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_625]) ).
tff(c_641,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_637,c_586]) ).
tff(c_1067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1065,c_641]) ).
tff(c_1068,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_393]) ).
tff(c_9135,plain,
! [X1_10,X7_9,X4_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( inverse(X4_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1433,c_1129,c_1399,c_1129,c_1129,c_1399,c_1129,c_1129,c_2,c_1129,c_1129,c_1129,c_1399,c_1129,c_1129,c_1068]) ).
tff(c_9136,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(splitLeft,[status(thm)],[c_9135]) ).
tff(c_381,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_370,c_89]) ).
tff(c_389,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_381,c_4]) ).
tff(c_1144,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1129,c_389]) ).
tff(c_1133,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1129,c_381]) ).
tff(c_1149,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1144,c_1133]) ).
tff(c_9138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9136,c_1149]) ).
tff(c_9139,plain,
! [X1_10,X7_9] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 ) ),
inference(splitRight,[status(thm)],[c_9135]) ).
tff(c_9141,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9139]) ).
tff(c_9143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9141,c_1149]) ).
tff(c_9542,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_9139]) ).
tff(c_9544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9542,c_1149]) ).
tff(c_9546,plain,
multiply(sk_c9,sk_c5) != sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_9747,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9743,c_9546]) ).
tff(c_9629,plain,
! [Z_131] : ( multiply(sk_c9,multiply(sk_c1,Z_131)) = multiply(identity,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_9590]) ).
tff(c_9794,plain,
! [Z_138] : ( multiply(sk_c9,multiply(sk_c1,Z_138)) = Z_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9629]) ).
tff(c_9809,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135,c_9794]) ).
tff(c_9576,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_9546,c_52]) ).
tff(c_9545,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_9550,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9545,c_4]) ).
tff(c_9614,plain,
! [Z_131] : ( multiply(sk_c8,multiply(sk_c7,Z_131)) = multiply(identity,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_9550,c_9590]) ).
tff(c_9820,plain,
! [Z_139] : ( multiply(sk_c8,multiply(sk_c7,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9614]) ).
tff(c_9835,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9576,c_9820]) ).
tff(c_9623,plain,
! [Z_131] : ( multiply(sk_c1,multiply(sk_c8,Z_131)) = multiply(sk_c9,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_135,c_9590]) ).
tff(c_9843,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_9835,c_9623]) ).
tff(c_9849,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9809,c_135,c_9843]) ).
tff(c_9851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9747,c_9849]) ).
tff(c_9853,plain,
multiply(sk_c4,sk_c9) != sk_c5,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_60,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_10610,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_9853,c_60]) ).
tff(c_9852,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_9857,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9852,c_4]) ).
tff(c_10653,plain,
! [Z_157] : ( multiply(sk_c8,multiply(sk_c7,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_9857,c_10629]) ).
tff(c_10874,plain,
! [Z_167] : ( multiply(sk_c8,multiply(sk_c7,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10653]) ).
tff(c_10889,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10610,c_10874]) ).
tff(c_10659,plain,
! [Z_157] : ( multiply(sk_c1,multiply(sk_c8,Z_157)) = multiply(sk_c9,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_135,c_10629]) ).
tff(c_10896,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_10889,c_10659]) ).
tff(c_10902,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10846,c_135,c_10896]) ).
tff(c_11059,plain,
multiply(sk_c3,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10902,c_129]) ).
tff(c_11064,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10804,c_11059]) ).
tff(c_11069,plain,
! [Z_170] : ( multiply(sk_c2,multiply(sk_c3,Z_170)) = multiply(sk_c8,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_144,c_10629]) ).
tff(c_11084,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_10804,c_11069]) ).
tff(c_11094,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_144,c_11084]) ).
tff(c_13177,plain,
multiply(sk_c3,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11064,c_11064,c_11064,c_11094]) ).
tff(c_10674,plain,
! [X_2,Z_157] : ( multiply(inverse(X_2),multiply(X_2,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10629]) ).
tff(c_13206,plain,
! [X_206,Z_207] : ( multiply(inverse(X_206),multiply(X_206,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10674]) ).
tff(c_13230,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13177,c_13206]) ).
tff(c_13268,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13230]) ).
tff(c_10687,plain,
! [X_2,Z_157] : ( multiply(inverse(X_2),multiply(X_2,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10674]) ).
tff(c_13515,plain,
! [X_209,Z_210] : ( multiply(inverse(inverse(X_209)),Z_210) = multiply(X_209,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_13206,c_10687]) ).
tff(c_13260,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13206]) ).
tff(c_13522,plain,
! [X_209] : ( multiply(X_209,identity) = X_209 ),
inference(superposition,[status(thm),theory(equality)],[c_13515,c_13260]) ).
tff(c_11182,plain,
! [X_171,Z_172] : ( multiply(inverse(X_171),multiply(X_171,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10674]) ).
tff(c_11478,plain,
! [X_174,Z_175] : ( multiply(inverse(inverse(X_174)),Z_175) = multiply(X_174,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_10687,c_11182]) ).
tff(c_11499,plain,
! [X_174] : ( multiply(X_174,inverse(X_174)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_11478,c_4]) ).
tff(c_11143,plain,
multiply(sk_c3,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11064,c_11064,c_11064,c_11094]) ).
tff(c_11209,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_11143,c_11182]) ).
tff(c_11244,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11209]) ).
tff(c_11236,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11182]) ).
tff(c_11485,plain,
! [X_174] : ( multiply(X_174,identity) = X_174 ),
inference(superposition,[status(thm),theory(equality)],[c_11478,c_11236]) ).
tff(c_11096,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11064,c_10902]) ).
tff(c_10918,plain,
multiply(sk_c3,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10902,c_129]) ).
tff(c_10923,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10804,c_10918]) ).
tff(c_10932,plain,
inverse(sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10923,c_9852]) ).
tff(c_10912,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10902,c_10610]) ).
tff(c_11031,plain,
multiply(sk_c7,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10923,c_10923,c_10912]) ).
tff(c_10928,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10923,c_10902]) ).
tff(c_9889,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_9853,c_60]) ).
tff(c_9905,plain,
! [X_140,Y_141,Z_142] : ( multiply(multiply(X_140,Y_141),Z_142) = multiply(X_140,multiply(Y_141,Z_142)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9932,plain,
! [Z_142] : ( multiply(sk_c8,multiply(sk_c7,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_9857,c_9905]) ).
tff(c_10115,plain,
! [Z_150] : ( multiply(sk_c8,multiply(sk_c7,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9932]) ).
tff(c_10127,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9889,c_10115]) ).
tff(c_9953,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9905]) ).
tff(c_10138,plain,
! [X_151,Z_152] : ( multiply(inverse(X_151),multiply(X_151,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9953]) ).
tff(c_10156,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_10127,c_10138]) ).
tff(c_10238,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10156]) ).
tff(c_9947,plain,
! [Z_142] : ( multiply(sk_c3,multiply(sk_c2,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_105,c_9905]) ).
tff(c_9991,plain,
! [Z_144] : ( multiply(sk_c3,multiply(sk_c2,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9947]) ).
tff(c_10003,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_144,c_9991]) ).
tff(c_10168,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10003,c_10138]) ).
tff(c_10239,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10168]) ).
tff(c_48,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c9,sk_c5) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_9869,plain,
multiply(sk_c9,sk_c5) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_10255,plain,
multiply(sk_c9,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10239,c_9869]) ).
tff(c_10455,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10238,c_10255]) ).
tff(c_10276,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10238,c_89]) ).
tff(c_10344,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10276,c_4]) ).
tff(c_9966,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9953]) ).
tff(c_10408,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_10344,c_9966]) ).
tff(c_10420,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10408]) ).
tff(c_10272,plain,
multiply(sk_c4,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10238,c_9853]) ).
tff(c_10592,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10455,c_2,c_10420,c_10272]) ).
tff(c_10593,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_58,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_10621,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_9853,c_58]) ).
tff(c_10749,plain,
! [X3_161] :
( ( multiply(X3_161,sk_c8) != sk_c9 )
| ( inverse(X3_161) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_10759,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_10621,c_10749]) ).
tff(c_10777,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10593,c_10759]) ).
tff(c_10778,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_10904,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_10778]) ).
tff(c_11016,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c3 )
| ( multiply(X2_11,sk_c3) != sk_c3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10928,c_10923,c_10923,c_10904]) ).
tff(c_11035,plain,
inverse(sk_c7) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_11031,c_11016]) ).
tff(c_11044,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10932,c_11035]) ).
tff(c_11045,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_10778]) ).
tff(c_11133,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c3) != sk_c3 )
| ( inverse(X1_10) != sk_c3 )
| ( inverse(X7_9) != sk_c3 )
| ( multiply(sk_c3,multiply(X7_9,sk_c3)) != sk_c3 )
| ( multiply(inverse(X4_12),sk_c3) != sk_c3 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11064,c_11096,c_11064,c_11096,c_11096,c_11064,c_11096,c_11096,c_11096,c_11064,c_11045]) ).
tff(c_11134,plain,
! [X4_12] :
( ( multiply(inverse(X4_12),sk_c3) != sk_c3 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c3 ) ),
inference(splitLeft,[status(thm)],[c_11133]) ).
tff(c_13157,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_11499,c_11244,c_11485,c_11244,c_11244,c_11134]) ).
tff(c_11056,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10902,c_10593]) ).
tff(c_11110,plain,
inverse(sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11064,c_11056]) ).
tff(c_11114,plain,
multiply(sk_c3,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11110,c_4]) ).
tff(c_11273,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11244,c_11114]) ).
tff(c_11254,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11244,c_11110]) ).
tff(c_11308,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11273,c_11254]) ).
tff(c_13159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13157,c_11308]) ).
tff(c_13160,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != sk_c3 )
| ( multiply(sk_c3,multiply(X7_9,sk_c3)) != sk_c3 )
| ( multiply(X1_10,sk_c3) != sk_c3 )
| ( inverse(X1_10) != sk_c3 ) ),
inference(splitRight,[status(thm)],[c_11133]) ).
tff(c_28976,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13268,c_13522,c_13268,c_13268,c_13522,c_13268,c_13268,c_2,c_13268,c_13268,c_13160]) ).
tff(c_28978,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_28976]) ).
tff(c_11063,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10902,c_89]) ).
tff(c_11125,plain,
inverse(sk_c4) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11064,c_11063]) ).
tff(c_11129,plain,
multiply(sk_c3,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11125,c_4]) ).
tff(c_13297,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13268,c_11129]) ).
tff(c_13276,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13268,c_11125]) ).
tff(c_13332,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13297,c_13276]) ).
tff(c_28980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28978,c_13332]) ).
tff(c_28982,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_28976]) ).
tff(c_28984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28982,c_13332]) ).
tff(c_28986,plain,
multiply(sk_c2,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_29811,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29785,c_28986]) ).
tff(c_30060,plain,
multiply(identity,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30047,c_29811]) ).
tff(c_30064,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30060]) ).
tff(c_29576,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29564,c_118]) ).
tff(c_29802,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29785,c_29576]) ).
tff(c_29104,plain,
! [X_2,Z_345] : ( multiply(inverse(X_2),multiply(X_2,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29091]) ).
tff(c_29920,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_29802,c_29104]) ).
tff(c_29932,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29920]) ).
tff(c_29577,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29564,c_113]) ).
tff(c_29805,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29785,c_29577]) ).
tff(c_29936,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29932,c_29805]) ).
tff(c_30063,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_30047,c_101]) ).
tff(c_30067,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29936,c_30063]) ).
tff(c_30074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30064,c_30067]) ).
tff(c_30075,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_30,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_29004,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_28986,c_30]) ).
tff(c_29008,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29004,c_4]) ).
tff(c_30089,plain,
! [X_364,Y_365,Z_366] : ( multiply(multiply(X_364,Y_365),Z_366) = multiply(X_364,multiply(Y_365,Z_366)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30110,plain,
! [Z_366] : ( multiply(sk_c8,multiply(sk_c7,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_29008,c_30089]) ).
tff(c_30302,plain,
! [Z_375] : ( multiply(sk_c8,multiply(sk_c7,Z_375)) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30110]) ).
tff(c_30314,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30075,c_30302]) ).
tff(c_30134,plain,
! [X_2,Z_366] : ( multiply(inverse(X_2),multiply(X_2,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30089]) ).
tff(c_30325,plain,
! [X_376,Z_377] : ( multiply(inverse(X_376),multiply(X_376,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30134]) ).
tff(c_30343,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_30314,c_30325]) ).
tff(c_30422,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30343]) ).
tff(c_30131,plain,
! [Z_366] : ( multiply(sk_c9,multiply(sk_c4,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_30089]) ).
tff(c_30172,plain,
! [Z_368] : ( multiply(sk_c9,multiply(sk_c4,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30131]) ).
tff(c_30184,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_28999,c_30172]) ).
tff(c_30076,plain,
multiply(sk_c9,sk_c5) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_30188,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30184,c_30076]) ).
tff(c_30442,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30422,c_30188]) ).
tff(c_30125,plain,
! [Z_366] : ( multiply(sk_c9,multiply(sk_c1,Z_366)) = multiply(identity,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_30089]) ).
tff(c_30149,plain,
! [Z_367] : ( multiply(sk_c9,multiply(sk_c1,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30125]) ).
tff(c_30161,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135,c_30149]) ).
tff(c_30444,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30422,c_30422,c_30161]) ).
tff(c_30456,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30444]) ).
tff(c_30497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30442,c_30456]) ).
tff(c_30499,plain,
multiply(sk_c4,sk_c9) != sk_c5,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_30519,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_30499,c_60]) ).
tff(c_30498,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_30503,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30498,c_4]) ).
tff(c_31243,plain,
! [X_396,Y_397,Z_398] : ( multiply(multiply(X_396,Y_397),Z_398) = multiply(X_396,multiply(Y_397,Z_398)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31264,plain,
! [Z_398] : ( multiply(sk_c8,multiply(sk_c7,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_30503,c_31243]) ).
tff(c_31582,plain,
! [Z_411] : ( multiply(sk_c8,multiply(sk_c7,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31264]) ).
tff(c_31594,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30519,c_31582]) ).
tff(c_31285,plain,
! [X_2,Z_398] : ( multiply(inverse(X_2),multiply(X_2,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31243]) ).
tff(c_31976,plain,
! [X_418,Z_419] : ( multiply(inverse(X_418),multiply(X_418,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31285]) ).
tff(c_32012,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31594,c_31976]) ).
tff(c_32082,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32012]) ).
tff(c_31276,plain,
! [Z_398] : ( multiply(sk_c9,multiply(sk_c1,Z_398)) = multiply(identity,Z_398) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_31243]) ).
tff(c_31300,plain,
! [Z_399] : ( multiply(sk_c9,multiply(sk_c1,Z_399)) = Z_399 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31276]) ).
tff(c_31312,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135,c_31300]) ).
tff(c_32095,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32082,c_32082,c_31312]) ).
tff(c_32110,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32095]) ).
tff(c_31605,plain,
! [Z_412] : ( multiply(sk_c3,multiply(sk_c9,Z_412)) = multiply(sk_c8,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_31243]) ).
tff(c_31620,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c3,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_31312,c_31605]) ).
tff(c_31636,plain,
multiply(sk_c3,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31594,c_31620]) ).
tff(c_32119,plain,
multiply(sk_c3,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32110,c_32110,c_31636]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32280,plain,
! [Z_5] : ( multiply(sk_c3,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_32119,c_6]) ).
tff(c_32334,plain,
! [Z_421] : ( multiply(sk_c3,Z_421) = Z_421 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_32280]) ).
tff(c_32349,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_32334,c_105]) ).
tff(c_32123,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32110,c_28986]) ).
tff(c_32362,plain,
multiply(identity,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32349,c_32123]) ).
tff(c_32366,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32362]) ).
tff(c_28985,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_32102,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32082,c_28985]) ).
tff(c_32140,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32102,c_4]) ).
tff(c_31298,plain,
! [X_2,Z_398] : ( multiply(inverse(X_2),multiply(X_2,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31285]) ).
tff(c_32167,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_32140,c_31298]) ).
tff(c_32179,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32167]) ).
tff(c_32183,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32179,c_32102]) ).
tff(c_32365,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_32349,c_101]) ).
tff(c_32369,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32183,c_32365]) ).
tff(c_32376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32366,c_32369]) ).
tff(c_32378,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_34517,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32378,c_20]) ).
tff(c_32377,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_32382,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32377,c_4]) ).
tff(c_34534,plain,
! [X_460,Y_461,Z_462] : ( multiply(multiply(X_460,Y_461),Z_462) = multiply(X_460,multiply(Y_461,Z_462)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34561,plain,
! [Z_462] : ( multiply(sk_c8,multiply(sk_c7,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_32382,c_34534]) ).
tff(c_34640,plain,
! [Z_466] : ( multiply(sk_c8,multiply(sk_c7,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34561]) ).
tff(c_34652,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34517,c_34640]) ).
tff(c_34576,plain,
! [X_2,Z_462] : ( multiply(inverse(X_2),multiply(X_2,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34534]) ).
tff(c_34744,plain,
! [X_470,Z_471] : ( multiply(inverse(X_470),multiply(X_470,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34576]) ).
tff(c_34768,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34652,c_34744]) ).
tff(c_34838,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34768]) ).
tff(c_34872,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34838,c_113]) ).
tff(c_34885,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34872,c_4]) ).
tff(c_34589,plain,
! [X_2,Z_462] : ( multiply(inverse(X_2),multiply(X_2,Z_462)) = Z_462 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34576]) ).
tff(c_34902,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_34885,c_34589]) ).
tff(c_34914,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34902]) ).
tff(c_32391,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_34570,plain,
! [Z_462] : ( multiply(sk_c3,multiply(sk_c2,Z_462)) = multiply(identity,Z_462) ),
inference(superposition,[status(thm),theory(equality)],[c_105,c_34534]) ).
tff(c_34604,plain,
! [Z_464] : ( multiply(sk_c3,multiply(sk_c2,Z_464)) = Z_464 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34570]) ).
tff(c_34616,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_32391,c_34604]) ).
tff(c_34777,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34616,c_34744]) ).
tff(c_34839,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34777]) ).
tff(c_34857,plain,
multiply(sk_c1,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34839,c_32378]) ).
tff(c_35114,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34914,c_34838,c_34857]) ).
tff(c_35116,plain,
multiply(sk_c2,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_28,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_35669,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35116,c_28]) ).
tff(c_35689,plain,
! [X_482,Y_483,Z_484] : ( multiply(multiply(X_482,Y_483),Z_484) = multiply(X_482,multiply(Y_483,Z_484)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35716,plain,
! [Z_484] : ( multiply(sk_c8,multiply(sk_c7,Z_484)) = multiply(identity,Z_484) ),
inference(superposition,[status(thm),theory(equality)],[c_32382,c_35689]) ).
tff(c_35925,plain,
! [Z_492] : ( multiply(sk_c8,multiply(sk_c7,Z_492)) = Z_492 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35716]) ).
tff(c_35937,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35669,c_35925]) ).
tff(c_35731,plain,
! [X_2,Z_484] : ( multiply(inverse(X_2),multiply(X_2,Z_484)) = multiply(identity,Z_484) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35689]) ).
tff(c_36033,plain,
! [X_495,Z_496] : ( multiply(inverse(X_495),multiply(X_495,Z_496)) = Z_496 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35731]) ).
tff(c_36057,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35937,c_36033]) ).
tff(c_36143,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36057]) ).
tff(c_36358,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36143,c_89]) ).
tff(c_36406,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36358,c_4]) ).
tff(c_35744,plain,
! [X_2,Z_484] : ( multiply(inverse(X_2),multiply(X_2,Z_484)) = Z_484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35731]) ).
tff(c_36498,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_36406,c_35744]) ).
tff(c_36510,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36498]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_35677,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32378,c_18]) ).
tff(c_35115,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_35120,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35115,c_4]) ).
tff(c_35713,plain,
! [Z_484] : ( multiply(sk_c9,multiply(sk_c6,Z_484)) = multiply(identity,Z_484) ),
inference(superposition,[status(thm),theory(equality)],[c_35120,c_35689]) ).
tff(c_35785,plain,
! [Z_488] : ( multiply(sk_c9,multiply(sk_c6,Z_488)) = Z_488 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35713]) ).
tff(c_35797,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35677,c_35785]) ).
tff(c_36343,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36143,c_36143,c_35797]) ).
tff(c_36360,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36343]) ).
tff(c_35856,plain,
! [Z_491] : ( multiply(sk_c3,multiply(sk_c9,Z_491)) = multiply(sk_c8,Z_491) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_35689]) ).
tff(c_35886,plain,
multiply(sk_c8,sk_c1) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_118,c_35856]) ).
tff(c_36371,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_36360,c_35886]) ).
tff(c_36377,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36371]) ).
tff(c_35889,plain,
multiply(sk_c8,sk_c4) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_93,c_35856]) ).
tff(c_36370,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_36360,c_35889]) ).
tff(c_36376,plain,
multiply(sk_c3,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36370]) ).
tff(c_36523,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36510,c_36377,c_36376]) ).
tff(c_36353,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36143,c_32378]) ).
tff(c_36596,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36523,c_36360,c_36353]) ).
tff(c_36598,plain,
multiply(sk_c3,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_52720,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36598,c_44]) ).
tff(c_51779,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36598,c_44]) ).
tff(c_36597,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_36602,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36597,c_4]) ).
tff(c_51793,plain,
! [X_692,Y_693,Z_694] : ( multiply(multiply(X_692,Y_693),Z_694) = multiply(X_692,multiply(Y_693,Z_694)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51823,plain,
! [Z_694] : ( multiply(sk_c8,multiply(sk_c7,Z_694)) = multiply(identity,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_36602,c_51793]) ).
tff(c_51990,plain,
! [Z_702] : ( multiply(sk_c8,multiply(sk_c7,Z_702)) = Z_702 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51823]) ).
tff(c_52002,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51779,c_51990]) ).
tff(c_51835,plain,
! [X_2,Z_694] : ( multiply(inverse(X_2),multiply(X_2,Z_694)) = multiply(identity,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51793]) ).
tff(c_52013,plain,
! [X_703,Z_704] : ( multiply(inverse(X_703),multiply(X_703,Z_704)) = Z_704 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51835]) ).
tff(c_52031,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52002,c_52013]) ).
tff(c_52107,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52031]) ).
tff(c_50932,plain,
multiply(sk_c4,sk_c9) = sk_c5,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_51832,plain,
! [Z_694] : ( multiply(sk_c9,multiply(sk_c4,Z_694)) = multiply(identity,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_51793]) ).
tff(c_51886,plain,
! [Z_697] : ( multiply(sk_c9,multiply(sk_c4,Z_697)) = Z_697 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51832]) ).
tff(c_51898,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_50932,c_51886]) ).
tff(c_36613,plain,
multiply(sk_c9,sk_c5) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_36640,plain,
multiply(sk_c4,sk_c9) = sk_c5,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_36662,plain,
! [X_500,Y_501,Z_502] : ( multiply(multiply(X_500,Y_501),Z_502) = multiply(X_500,multiply(Y_501,Z_502)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36701,plain,
! [Z_502] : ( multiply(sk_c9,multiply(sk_c4,Z_502)) = multiply(identity,Z_502) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_36662]) ).
tff(c_36866,plain,
! [Z_507] : ( multiply(sk_c9,multiply(sk_c4,Z_507)) = Z_507 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36701]) ).
tff(c_36878,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36640,c_36866]) ).
tff(c_36882,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36613,c_36878]) ).
tff(c_40,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_36621,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36598,c_40]) ).
tff(c_37002,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36882,c_36621]) ).
tff(c_42,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_36651,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36598,c_42]) ).
tff(c_36998,plain,
multiply(sk_c6,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36882,c_36651]) ).
tff(c_36704,plain,
! [X_2,Z_502] : ( multiply(inverse(X_2),multiply(X_2,Z_502)) = multiply(identity,Z_502) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36662]) ).
tff(c_40359,plain,
! [X_547,Z_548] : ( multiply(inverse(X_547),multiply(X_547,Z_548)) = Z_548 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36704]) ).
tff(c_40383,plain,
multiply(inverse(sk_c6),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36998,c_40359]) ).
tff(c_40433,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37002,c_40383]) ).
tff(c_36717,plain,
! [X_2,Z_502] : ( multiply(inverse(X_2),multiply(X_2,Z_502)) = Z_502 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36704]) ).
tff(c_40471,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40433,c_36717]) ).
tff(c_40477,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40471]) ).
tff(c_40740,plain,
! [X_551,Z_552] : ( multiply(inverse(inverse(X_551)),Z_552) = multiply(X_551,Z_552) ),
inference(superposition,[status(thm),theory(equality)],[c_40359,c_36717]) ).
tff(c_40425,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40359]) ).
tff(c_40750,plain,
! [X_551] : ( multiply(X_551,identity) = X_551 ),
inference(superposition,[status(thm),theory(equality)],[c_40740,c_40425]) ).
tff(c_37089,plain,
! [X_509,Z_510] : ( multiply(inverse(X_509),multiply(X_509,Z_510)) = Z_510 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36704]) ).
tff(c_37470,plain,
! [X_513,Z_514] : ( multiply(inverse(inverse(X_513)),Z_514) = multiply(X_513,Z_514) ),
inference(superposition,[status(thm),theory(equality)],[c_37089,c_36717]) ).
tff(c_37494,plain,
! [X_513] : ( multiply(X_513,inverse(X_513)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_37470,c_4]) ).
tff(c_37113,plain,
multiply(inverse(sk_c6),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36998,c_37089]) ).
tff(c_37163,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37002,c_37113]) ).
tff(c_37201,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37163,c_36717]) ).
tff(c_37207,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37201]) ).
tff(c_37155,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37089]) ).
tff(c_37480,plain,
! [X_513] : ( multiply(X_513,identity) = X_513 ),
inference(superposition,[status(thm),theory(equality)],[c_37470,c_37155]) ).
tff(c_36646,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36598,c_44]) ).
tff(c_36887,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36882,c_36646]) ).
tff(c_36746,plain,
! [Z_505] : ( multiply(sk_c9,multiply(sk_c4,Z_505)) = Z_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36701]) ).
tff(c_36758,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36640,c_36746]) ).
tff(c_36762,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36613,c_36758]) ).
tff(c_36769,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36762,c_36621]) ).
tff(c_36765,plain,
multiply(sk_c6,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36762,c_36651]) ).
tff(c_36745,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_36801,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36762,c_36762,c_36745]) ).
tff(c_36855,plain,
inverse(sk_c6) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36765,c_36801]) ).
tff(c_36864,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36769,c_36855]) ).
tff(c_36865,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_36883,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_36865]) ).
tff(c_36953,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36882,c_36883]) ).
tff(c_36985,plain,
inverse(sk_c7) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36887,c_36953]) ).
tff(c_36994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36597,c_36985]) ).
tff(c_36995,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_36865]) ).
tff(c_37034,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36882,c_36882,c_36882,c_36882,c_36882,c_36882,c_36995]) ).
tff(c_37035,plain,
! [X4_12] :
( ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_37034]) ).
tff(c_40302,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_37494,c_37207,c_37480,c_37207,c_37207,c_37035]) ).
tff(c_37030,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37002,c_4]) ).
tff(c_37292,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37207,c_37030]) ).
tff(c_37218,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37207,c_37002]) ).
tff(c_37293,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37292,c_37218]) ).
tff(c_40304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40302,c_37293]) ).
tff(c_40305,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_37034]) ).
tff(c_49727,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40477,c_40750,c_40477,c_40477,c_40750,c_40477,c_40477,c_2,c_40477,c_40477,c_40305]) ).
tff(c_49729,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_49727]) ).
tff(c_40562,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40477,c_37030]) ).
tff(c_40488,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40477,c_37002]) ).
tff(c_40563,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40562,c_40488]) ).
tff(c_49731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49729,c_40563]) ).
tff(c_49733,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_49727]) ).
tff(c_49735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49733,c_40563]) ).
tff(c_49737,plain,
multiply(sk_c4,sk_c9) != sk_c5,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_49749,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_49737,c_60]) ).
tff(c_49761,plain,
! [X_634,Y_635,Z_636] : ( multiply(multiply(X_634,Y_635),Z_636) = multiply(X_634,multiply(Y_635,Z_636)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_49791,plain,
! [Z_636] : ( multiply(sk_c8,multiply(sk_c7,Z_636)) = multiply(identity,Z_636) ),
inference(superposition,[status(thm),theory(equality)],[c_36602,c_49761]) ).
tff(c_49937,plain,
! [Z_643] : ( multiply(sk_c8,multiply(sk_c7,Z_643)) = Z_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49791]) ).
tff(c_49949,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49749,c_49937]) ).
tff(c_49803,plain,
! [X_2,Z_636] : ( multiply(inverse(X_2),multiply(X_2,Z_636)) = multiply(identity,Z_636) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49761]) ).
tff(c_49977,plain,
! [X_645,Z_646] : ( multiply(inverse(X_645),multiply(X_645,Z_646)) = Z_646 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49803]) ).
tff(c_49998,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_49949,c_49977]) ).
tff(c_50068,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49998]) ).
tff(c_50093,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50068,c_89]) ).
tff(c_50191,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50093,c_4]) ).
tff(c_49816,plain,
! [X_2,Z_636] : ( multiply(inverse(X_2),multiply(X_2,Z_636)) = Z_636 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49803]) ).
tff(c_50264,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_50191,c_49816]) ).
tff(c_50276,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50264]) ).
tff(c_49744,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_49794,plain,
! [Z_636] : ( multiply(sk_c9,multiply(sk_c1,Z_636)) = multiply(identity,Z_636) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_49761]) ).
tff(c_49818,plain,
! [Z_637] : ( multiply(sk_c9,multiply(sk_c1,Z_637)) = Z_637 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49794]) ).
tff(c_49830,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49744,c_49818]) ).
tff(c_50080,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_50068,c_50068,c_49830]) ).
tff(c_50094,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50080]) ).
tff(c_50088,plain,
multiply(identity,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_50068,c_36613]) ).
tff(c_50095,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50088]) ).
tff(c_50109,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50094,c_50095]) ).
tff(c_50084,plain,
multiply(sk_c4,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_50068,c_49737]) ).
tff(c_50356,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50276,c_50109,c_50084]) ).
tff(c_50357,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_50372,plain,
! [X_649,Y_650,Z_651] : ( multiply(multiply(X_649,Y_650),Z_651) = multiply(X_649,multiply(Y_650,Z_651)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_50399,plain,
! [Z_651] : ( multiply(sk_c8,multiply(sk_c7,Z_651)) = multiply(identity,Z_651) ),
inference(superposition,[status(thm),theory(equality)],[c_36602,c_50372]) ).
tff(c_50551,plain,
! [Z_659] : ( multiply(sk_c8,multiply(sk_c7,Z_659)) = Z_659 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50399]) ).
tff(c_50563,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_50357,c_50551]) ).
tff(c_50411,plain,
! [X_2,Z_651] : ( multiply(inverse(X_2),multiply(X_2,Z_651)) = multiply(identity,Z_651) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50372]) ).
tff(c_50610,plain,
! [X_662,Z_663] : ( multiply(inverse(X_662),multiply(X_662,Z_663)) = Z_663 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50411]) ).
tff(c_50637,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_50563,c_50610]) ).
tff(c_50701,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50637]) ).
tff(c_50724,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50701,c_113]) ).
tff(c_50801,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50724,c_4]) ).
tff(c_50424,plain,
! [X_2,Z_651] : ( multiply(inverse(X_2),multiply(X_2,Z_651)) = Z_651 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50411]) ).
tff(c_50884,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_50801,c_50424]) ).
tff(c_50896,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50884]) ).
tff(c_49736,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_36625,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36621,c_4]) ).
tff(c_50393,plain,
! [Z_651] : ( multiply(sk_c9,multiply(sk_c6,Z_651)) = multiply(identity,Z_651) ),
inference(superposition,[status(thm),theory(equality)],[c_36625,c_50372]) ).
tff(c_50587,plain,
! [Z_661] : ( multiply(sk_c9,multiply(sk_c6,Z_661)) = Z_661 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50393]) ).
tff(c_50599,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49736,c_50587]) ).
tff(c_50709,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_50701,c_50701,c_50599]) ).
tff(c_50727,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50709]) ).
tff(c_50358,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_50715,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_50701,c_50358]) ).
tff(c_50879,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_50727,c_50715]) ).
tff(c_50900,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_50896,c_50879]) ).
tff(c_50905,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50900]) ).
tff(c_50907,plain,
multiply(sk_c9,sk_c5) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_51902,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_51898,c_50907]) ).
tff(c_52127,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52107,c_51902]) ).
tff(c_51773,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_51826,plain,
! [Z_694] : ( multiply(sk_c9,multiply(sk_c1,Z_694)) = multiply(identity,Z_694) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_51793]) ).
tff(c_51850,plain,
! [Z_695] : ( multiply(sk_c9,multiply(sk_c1,Z_695)) = Z_695 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51826]) ).
tff(c_51862,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51773,c_51850]) ).
tff(c_52129,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52107,c_52107,c_51862]) ).
tff(c_52141,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52129]) ).
tff(c_52182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52127,c_52141]) ).
tff(c_52183,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_52202,plain,
! [X_706,Y_707,Z_708] : ( multiply(multiply(X_706,Y_707),Z_708) = multiply(X_706,multiply(Y_707,Z_708)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52229,plain,
! [Z_708] : ( multiply(sk_c8,multiply(sk_c7,Z_708)) = multiply(identity,Z_708) ),
inference(superposition,[status(thm),theory(equality)],[c_36602,c_52202]) ).
tff(c_52380,plain,
! [Z_715] : ( multiply(sk_c8,multiply(sk_c7,Z_715)) = Z_715 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52229]) ).
tff(c_52392,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52183,c_52380]) ).
tff(c_52241,plain,
! [X_2,Z_708] : ( multiply(inverse(X_2),multiply(X_2,Z_708)) = multiply(identity,Z_708) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52202]) ).
tff(c_52516,plain,
! [X_718,Z_719] : ( multiply(inverse(X_718),multiply(X_718,Z_719)) = Z_719 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52241]) ).
tff(c_52552,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52392,c_52516]) ).
tff(c_52627,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52552]) ).
tff(c_52238,plain,
! [Z_708] : ( multiply(sk_c9,multiply(sk_c4,Z_708)) = multiply(identity,Z_708) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_52202]) ).
tff(c_52282,plain,
! [Z_711] : ( multiply(sk_c9,multiply(sk_c4,Z_711)) = Z_711 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52238]) ).
tff(c_52294,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_50932,c_52282]) ).
tff(c_52349,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52294,c_50907]) ).
tff(c_52658,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52627,c_52349]) ).
tff(c_50964,plain,
! [X_665,Y_666,Z_667] : ( multiply(multiply(X_665,Y_666),Z_667) = multiply(X_665,multiply(Y_666,Z_667)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51006,plain,
! [Z_667] : ( multiply(sk_c9,multiply(sk_c4,Z_667)) = multiply(identity,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_50964]) ).
tff(c_51102,plain,
! [Z_671] : ( multiply(sk_c9,multiply(sk_c4,Z_671)) = Z_671 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51006]) ).
tff(c_51114,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_50932,c_51102]) ).
tff(c_51118,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_51114,c_50907]) ).
tff(c_50942,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_51000,plain,
! [Z_667] : ( multiply(sk_c9,multiply(sk_c1,Z_667)) = multiply(identity,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_50964]) ).
tff(c_51142,plain,
! [Z_673] : ( multiply(sk_c9,multiply(sk_c1,Z_673)) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51000]) ).
tff(c_51154,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_50942,c_51142]) ).
tff(c_50947,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_50907,c_52]) ).
tff(c_50997,plain,
! [Z_667] : ( multiply(sk_c8,multiply(sk_c7,Z_667)) = multiply(identity,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_36602,c_50964]) ).
tff(c_51231,plain,
! [Z_676] : ( multiply(sk_c8,multiply(sk_c7,Z_676)) = Z_676 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50997]) ).
tff(c_51243,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_50947,c_51231]) ).
tff(c_50985,plain,
! [Z_667] : ( multiply(sk_c1,multiply(sk_c8,Z_667)) = multiply(sk_c9,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_50942,c_50964]) ).
tff(c_51279,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_51243,c_50985]) ).
tff(c_51285,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_51154,c_50942,c_51279]) ).
tff(c_51287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51118,c_51285]) ).
tff(c_51288,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_51309,plain,
! [X_678,Y_679,Z_680] : ( multiply(multiply(X_678,Y_679),Z_680) = multiply(X_678,multiply(Y_679,Z_680)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51339,plain,
! [Z_680] : ( multiply(sk_c8,multiply(sk_c7,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_36602,c_51309]) ).
tff(c_51478,plain,
! [Z_686] : ( multiply(sk_c8,multiply(sk_c7,Z_686)) = Z_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51339]) ).
tff(c_51490,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51288,c_51478]) ).
tff(c_51351,plain,
! [X_2,Z_680] : ( multiply(inverse(X_2),multiply(X_2,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51309]) ).
tff(c_51602,plain,
! [X_690,Z_691] : ( multiply(inverse(X_690),multiply(X_690,Z_691)) = Z_691 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51351]) ).
tff(c_51635,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_51490,c_51602]) ).
tff(c_51710,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51635]) ).
tff(c_26,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_50937,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_51345,plain,
! [Z_680] : ( multiply(sk_c3,multiply(sk_c2,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_105,c_51309]) ).
tff(c_51379,plain,
! [Z_682] : ( multiply(sk_c3,multiply(sk_c2,Z_682)) = Z_682 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51345]) ).
tff(c_51391,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_50937,c_51379]) ).
tff(c_51647,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51391,c_51602]) ).
tff(c_51712,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51647]) ).
tff(c_51348,plain,
! [Z_680] : ( multiply(sk_c9,multiply(sk_c4,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_51309]) ).
tff(c_51402,plain,
! [Z_683] : ( multiply(sk_c9,multiply(sk_c4,Z_683)) = Z_683 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51348]) ).
tff(c_51414,plain,
multiply(sk_c9,sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_50932,c_51402]) ).
tff(c_51470,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_51414,c_50907]) ).
tff(c_51734,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51712,c_51470]) ).
tff(c_51766,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51710,c_51734]) ).
tff(c_51767,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_50906,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_50911,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50906,c_4]) ).
tff(c_52226,plain,
! [Z_708] : ( multiply(sk_c9,multiply(sk_c6,Z_708)) = multiply(identity,Z_708) ),
inference(superposition,[status(thm),theory(equality)],[c_50911,c_52202]) ).
tff(c_52357,plain,
! [Z_714] : ( multiply(sk_c9,multiply(sk_c6,Z_714)) = Z_714 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52226]) ).
tff(c_52369,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_51767,c_52357]) ).
tff(c_52656,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52627,c_52627,c_52369]) ).
tff(c_52671,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52656]) ).
tff(c_52712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52658,c_52671]) ).
tff(c_52713,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_52736,plain,
! [X_721,Y_722,Z_723] : ( multiply(multiply(X_721,Y_722),Z_723) = multiply(X_721,multiply(Y_722,Z_723)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52757,plain,
! [Z_723] : ( multiply(sk_c9,multiply(sk_c6,Z_723)) = multiply(identity,Z_723) ),
inference(superposition,[status(thm),theory(equality)],[c_50911,c_52736]) ).
tff(c_52895,plain,
! [Z_731] : ( multiply(sk_c9,multiply(sk_c6,Z_731)) = Z_731 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52757]) ).
tff(c_52907,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52713,c_52895]) ).
tff(c_52760,plain,
! [Z_723] : ( multiply(sk_c8,multiply(sk_c7,Z_723)) = multiply(identity,Z_723) ),
inference(superposition,[status(thm),theory(equality)],[c_36602,c_52736]) ).
tff(c_52918,plain,
! [Z_732] : ( multiply(sk_c8,multiply(sk_c7,Z_732)) = Z_732 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52760]) ).
tff(c_52930,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52720,c_52918]) ).
tff(c_52973,plain,
! [Z_734] : ( multiply(sk_c7,multiply(sk_c8,Z_734)) = multiply(sk_c9,Z_734) ),
inference(superposition,[status(thm),theory(equality)],[c_52720,c_52736]) ).
tff(c_52988,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c7,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_52930,c_52973]) ).
tff(c_52998,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52720,c_52907,c_52988]) ).
tff(c_53001,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52998,c_52998,c_52907]) ).
tff(c_52772,plain,
! [X_2,Z_723] : ( multiply(inverse(X_2),multiply(X_2,Z_723)) = multiply(identity,Z_723) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52736]) ).
tff(c_59068,plain,
! [X_798,Z_799] : ( multiply(inverse(X_798),multiply(X_798,Z_799)) = Z_799 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52772]) ).
tff(c_59086,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53001,c_59068]) ).
tff(c_59132,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59086]) ).
tff(c_52785,plain,
! [X_2,Z_723] : ( multiply(inverse(X_2),multiply(X_2,Z_723)) = Z_723 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52772]) ).
tff(c_59356,plain,
! [X_802,Z_803] : ( multiply(inverse(inverse(X_802)),Z_803) = multiply(X_802,Z_803) ),
inference(superposition,[status(thm),theory(equality)],[c_52785,c_59068]) ).
tff(c_59125,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_59068]) ).
tff(c_59366,plain,
! [X_802] : ( multiply(X_802,identity) = X_802 ),
inference(superposition,[status(thm),theory(equality)],[c_59356,c_59125]) ).
tff(c_53092,plain,
! [X_735,Z_736] : ( multiply(inverse(X_735),multiply(X_735,Z_736)) = Z_736 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52772]) ).
tff(c_53390,plain,
! [X_739,Z_740] : ( multiply(inverse(inverse(X_739)),Z_740) = multiply(X_739,Z_740) ),
inference(superposition,[status(thm),theory(equality)],[c_52785,c_53092]) ).
tff(c_53414,plain,
! [X_739] : ( multiply(X_739,inverse(X_739)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_53390,c_4]) ).
tff(c_53119,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53001,c_53092]) ).
tff(c_53166,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53119]) ).
tff(c_53158,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53092]) ).
tff(c_53400,plain,
! [X_739] : ( multiply(X_739,identity) = X_739 ),
inference(superposition,[status(thm),theory(equality)],[c_53390,c_53158]) ).
tff(c_52843,plain,
! [X3_728] :
( ( multiply(X3_728,sk_c8) != sk_c9 )
| ( inverse(X3_728) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_52853,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52713,c_52843]) ).
tff(c_52867,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50906,c_52853]) ).
tff(c_52868,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_52942,plain,
! [X2_733] :
( ( inverse(X2_733) != sk_c8 )
| ( multiply(X2_733,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_52868]) ).
tff(c_52949,plain,
inverse(sk_c7) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52720,c_52942]) ).
tff(c_52964,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36597,c_52949]) ).
tff(c_52965,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_52868]) ).
tff(c_53041,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52998,c_52998,c_52998,c_52998,c_52998,c_52998,c_52965]) ).
tff(c_53042,plain,
! [X4_12] :
( ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_53041]) ).
tff(c_59039,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_53414,c_53166,c_53400,c_53166,c_53166,c_53042]) ).
tff(c_53015,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52998,c_89]) ).
tff(c_53037,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53015,c_4]) ).
tff(c_53196,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53166,c_53037]) ).
tff(c_53179,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53166,c_53015]) ).
tff(c_53211,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53196,c_53179]) ).
tff(c_59041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59039,c_53211]) ).
tff(c_59042,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_53041]) ).
tff(c_107198,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59132,c_59366,c_59132,c_59132,c_59366,c_59132,c_59132,c_2,c_59132,c_59132,c_59042]) ).
tff(c_107200,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_107198]) ).
tff(c_59166,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59132,c_53037]) ).
tff(c_59140,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59132,c_53015]) ).
tff(c_59167,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_59166,c_59140]) ).
tff(c_107202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107200,c_59167]) ).
tff(c_107204,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_107198]) ).
tff(c_107206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107204,c_59167]) ).
tff(c_107208,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_107246,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_107208,c_12]) ).
tff(c_10,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_107251,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_107208,c_10]) ).
tff(c_107207,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_107212,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_107207,c_4]) ).
tff(c_107279,plain,
! [X_1018,Y_1019,Z_1020] : ( multiply(multiply(X_1018,Y_1019),Z_1020) = multiply(X_1018,multiply(Y_1019,Z_1020)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_107303,plain,
! [Z_1020] : ( multiply(sk_c9,multiply(sk_c6,Z_1020)) = multiply(identity,Z_1020) ),
inference(superposition,[status(thm),theory(equality)],[c_107212,c_107279]) ).
tff(c_107352,plain,
! [Z_1023] : ( multiply(sk_c9,multiply(sk_c6,Z_1023)) = Z_1023 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_107303]) ).
tff(c_107364,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_107251,c_107352]) ).
tff(c_14,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_107216,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_107225,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107216,c_107208]) ).
tff(c_107226,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_107231,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_107226,c_4]) ).
tff(c_107300,plain,
! [Z_1020] : ( multiply(sk_c8,multiply(sk_c7,Z_1020)) = multiply(identity,Z_1020) ),
inference(superposition,[status(thm),theory(equality)],[c_107231,c_107279]) ).
tff(c_107496,plain,
! [Z_1029] : ( multiply(sk_c8,multiply(sk_c7,Z_1029)) = Z_1029 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_107300]) ).
tff(c_107514,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_107246,c_107496]) ).
tff(c_107297,plain,
! [Z_1020] : ( multiply(sk_c7,multiply(sk_c8,Z_1020)) = multiply(sk_c9,Z_1020) ),
inference(superposition,[status(thm),theory(equality)],[c_107246,c_107279]) ).
tff(c_107521,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c7,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_107514,c_107297]) ).
tff(c_107527,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_107246,c_107364,c_107521]) ).
tff(c_107529,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_107527,c_107514]) ).
tff(c_107312,plain,
! [X_2,Z_1020] : ( multiply(inverse(X_2),multiply(X_2,Z_1020)) = multiply(identity,Z_1020) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_107279]) ).
tff(c_107324,plain,
! [X_2,Z_1020] : ( multiply(inverse(X_2),multiply(X_2,Z_1020)) = Z_1020 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_107312]) ).
tff(c_113784,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_107529,c_107324]) ).
tff(c_113790,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_113784]) ).
tff(c_113709,plain,
! [X_1094,Z_1095] : ( multiply(inverse(X_1094),multiply(X_1094,Z_1095)) = Z_1095 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_107312]) ).
tff(c_114003,plain,
! [X_1098,Z_1099] : ( multiply(inverse(inverse(X_1098)),Z_1099) = multiply(X_1098,Z_1099) ),
inference(superposition,[status(thm),theory(equality)],[c_107324,c_113709]) ).
tff(c_113751,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_113709]) ).
tff(c_114013,plain,
! [X_1098] : ( multiply(X_1098,identity) = X_1098 ),
inference(superposition,[status(thm),theory(equality)],[c_114003,c_113751]) ).
tff(c_107605,plain,
! [X_1030,Z_1031] : ( multiply(inverse(X_1030),multiply(X_1030,Z_1031)) = Z_1031 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_107312]) ).
tff(c_107918,plain,
! [X_1034,Z_1035] : ( multiply(inverse(inverse(X_1034)),Z_1035) = multiply(X_1034,Z_1035) ),
inference(superposition,[status(thm),theory(equality)],[c_107324,c_107605]) ).
tff(c_107942,plain,
! [X_1034] : ( multiply(X_1034,inverse(X_1034)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_107918,c_4]) ).
tff(c_107632,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_107529,c_107605]) ).
tff(c_107674,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_107632]) ).
tff(c_107665,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_107605]) ).
tff(c_107928,plain,
! [X_1034] : ( multiply(X_1034,identity) = X_1034 ),
inference(superposition,[status(thm),theory(equality)],[c_107918,c_107665]) ).
tff(c_107399,plain,
! [X3_1025] :
( ( multiply(X3_1025,sk_c8) != sk_c9 )
| ( inverse(X3_1025) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_107406,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_107251,c_107399]) ).
tff(c_107421,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107207,c_107406]) ).
tff(c_107422,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_107454,plain,
! [X2_1027] :
( ( inverse(X2_1027) != sk_c8 )
| ( multiply(X2_1027,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_107422]) ).
tff(c_107464,plain,
inverse(sk_c7) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_107246,c_107454]) ).
tff(c_107478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107226,c_107464]) ).
tff(c_107479,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_107422]) ).
tff(c_107552,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107527,c_107527,c_107527,c_107527,c_107527,c_107527,c_107479]) ).
tff(c_107553,plain,
! [X4_12] :
( ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_107552]) ).
tff(c_113705,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_107942,c_107674,c_107928,c_107674,c_107674,c_107553]) ).
tff(c_107540,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_107527,c_89]) ).
tff(c_107682,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_107674,c_107540]) ).
tff(c_107704,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_107682,c_4]) ).
tff(c_107711,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_107704,c_107324]) ).
tff(c_107723,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_107711]) ).
tff(c_107727,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_107723,c_107682]) ).
tff(c_113707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113705,c_107727]) ).
tff(c_113708,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_107552]) ).
tff(c_172377,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113790,c_114013,c_113790,c_113790,c_114013,c_113790,c_113790,c_2,c_113790,c_113790,c_113708]) ).
tff(c_172379,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_172377]) ).
tff(c_113766,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_107540,c_4]) ).
tff(c_113872,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_113790,c_113766]) ).
tff(c_113806,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_113790,c_107540]) ).
tff(c_113873,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_113872,c_113806]) ).
tff(c_172381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172379,c_113873]) ).
tff(c_172383,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_172377]) ).
tff(c_172385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172383,c_113873]) ).
tff(c_172387,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_172441,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_172387,c_34]) ).
tff(c_32,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_172412,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_172387,c_32]) ).
tff(c_172416,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_172412,c_4]) ).
tff(c_172459,plain,
! [X_1347,Y_1348,Z_1349] : ( multiply(multiply(X_1347,Y_1348),Z_1349) = multiply(X_1347,multiply(Y_1348,Z_1349)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_172480,plain,
! [Z_1349] : ( multiply(sk_c9,multiply(sk_c6,Z_1349)) = multiply(identity,Z_1349) ),
inference(superposition,[status(thm),theory(equality)],[c_172416,c_172459]) ).
tff(c_172570,plain,
! [Z_1353] : ( multiply(sk_c9,multiply(sk_c6,Z_1353)) = Z_1353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_172480]) ).
tff(c_172582,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_172441,c_172570]) ).
tff(c_36,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_172431,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_172387,c_36]) ).
tff(c_172386,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_172391,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_172386,c_4]) ).
tff(c_172486,plain,
! [Z_1349] : ( multiply(sk_c8,multiply(sk_c7,Z_1349)) = multiply(identity,Z_1349) ),
inference(superposition,[status(thm),theory(equality)],[c_172391,c_172459]) ).
tff(c_172593,plain,
! [Z_1354] : ( multiply(sk_c8,multiply(sk_c7,Z_1354)) = Z_1354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_172486]) ).
tff(c_172605,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_172431,c_172593]) ).
tff(c_172682,plain,
! [Z_1359] : ( multiply(sk_c6,multiply(sk_c8,Z_1359)) = multiply(sk_c9,Z_1359) ),
inference(superposition,[status(thm),theory(equality)],[c_172441,c_172459]) ).
tff(c_172697,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_172605,c_172682]) ).
tff(c_172707,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_172441,c_172582,c_172697]) ).
tff(c_172712,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_172707,c_172707,c_172582]) ).
tff(c_172492,plain,
! [X_2,Z_1349] : ( multiply(inverse(X_2),multiply(X_2,Z_1349)) = multiply(identity,Z_1349) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_172459]) ).
tff(c_175126,plain,
! [X_1399,Z_1400] : ( multiply(inverse(X_1399),multiply(X_1399,Z_1400)) = Z_1400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_172492]) ).
tff(c_175147,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_172712,c_175126]) ).
tff(c_175190,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_175147]) ).
tff(c_172504,plain,
! [X_2,Z_1349] : ( multiply(inverse(X_2),multiply(X_2,Z_1349)) = Z_1349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_172492]) ).
tff(c_175415,plain,
! [X_1403,Z_1404] : ( multiply(inverse(inverse(X_1403)),Z_1404) = multiply(X_1403,Z_1404) ),
inference(superposition,[status(thm),theory(equality)],[c_172504,c_175126]) ).
tff(c_175183,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_175126]) ).
tff(c_175422,plain,
! [X_1403] : ( multiply(X_1403,identity) = X_1403 ),
inference(superposition,[status(thm),theory(equality)],[c_175415,c_175183]) ).
tff(c_172801,plain,
! [X_1360,Z_1361] : ( multiply(inverse(X_1360),multiply(X_1360,Z_1361)) = Z_1361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_172492]) ).
tff(c_173062,plain,
! [X_1363,Z_1364] : ( multiply(inverse(inverse(X_1363)),Z_1364) = multiply(X_1363,Z_1364) ),
inference(superposition,[status(thm),theory(equality)],[c_172801,c_172504]) ).
tff(c_173083,plain,
! [X_1363] : ( multiply(X_1363,inverse(X_1363)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_173062,c_4]) ).
tff(c_172828,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_172712,c_172801]) ).
tff(c_172865,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_172828]) ).
tff(c_172858,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_172801]) ).
tff(c_173069,plain,
! [X_1363] : ( multiply(X_1363,identity) = X_1363 ),
inference(superposition,[status(thm),theory(equality)],[c_173062,c_172858]) ).
tff(c_172546,plain,
! [X3_1352] :
( ( multiply(X3_1352,sk_c8) != sk_c9 )
| ( inverse(X3_1352) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_172553,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_172441,c_172546]) ).
tff(c_172568,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_172412,c_172553]) ).
tff(c_172569,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_172643,plain,
! [X2_1357] :
( ( inverse(X2_1357) != sk_c8 )
| ( multiply(X2_1357,sk_c8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_172569]) ).
tff(c_172653,plain,
inverse(sk_c7) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_172431,c_172643]) ).
tff(c_172667,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_172386,c_172653]) ).
tff(c_172668,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_172569]) ).
tff(c_172757,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172707,c_172707,c_172707,c_172707,c_172707,c_172707,c_172668]) ).
tff(c_172758,plain,
! [X4_12] :
( ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_172757]) ).
tff(c_175082,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_173083,c_172865,c_173069,c_172865,c_172865,c_172758]) ).
tff(c_172395,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_172719,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_172707,c_172395]) ).
tff(c_172743,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_172719,c_4]) ).
tff(c_172901,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_172865,c_172743]) ).
tff(c_172875,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_172865,c_172719]) ).
tff(c_172926,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_172901,c_172875]) ).
tff(c_175084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175082,c_172926]) ).
tff(c_175085,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_172757]) ).
tff(c_190348,plain,
! [X7_9,X1_10] :
( ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175190,c_175422,c_175190,c_175190,c_175422,c_175190,c_175190,c_2,c_175190,c_175190,c_175085]) ).
tff(c_190350,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_190348]) ).
tff(c_172721,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_172707,c_89]) ).
tff(c_172736,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_172721,c_4]) ).
tff(c_175226,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_175190,c_172736]) ).
tff(c_175201,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_175190,c_172721]) ).
tff(c_175227,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_175226,c_175201]) ).
tff(c_190352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190350,c_175227]) ).
tff(c_190354,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_190348]) ).
tff(c_190356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190354,c_175227]) ).
tff(c_190358,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_190379,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_190358,c_12]) ).
tff(c_190439,plain,
! [Z_1536] : ( multiply(sk_c8,multiply(sk_c7,Z_1536)) = multiply(identity,Z_1536) ),
inference(superposition,[status(thm),theory(equality)],[c_172391,c_190415]) ).
tff(c_190555,plain,
! [Z_1542] : ( multiply(sk_c8,multiply(sk_c7,Z_1542)) = Z_1542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190439]) ).
tff(c_190567,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_190379,c_190555]) ).
tff(c_190596,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_190567,c_190578]) ).
tff(c_190645,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190596]) ).
tff(c_190385,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_190358,c_10]) ).
tff(c_190357,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_190363,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190357,c_4]) ).
tff(c_190436,plain,
! [Z_1536] : ( multiply(sk_c9,multiply(sk_c6,Z_1536)) = multiply(identity,Z_1536) ),
inference(superposition,[status(thm),theory(equality)],[c_190363,c_190415]) ).
tff(c_190458,plain,
! [Z_1537] : ( multiply(sk_c9,multiply(sk_c6,Z_1537)) = Z_1537 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190436]) ).
tff(c_190470,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_190385,c_190458]) ).
tff(c_190653,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_190645,c_190645,c_190470]) ).
tff(c_190662,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190653]) ).
tff(c_190638,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_190578]) ).
tff(c_191477,plain,
! [X_1560] : ( multiply(X_1560,identity) = X_1560 ),
inference(superposition,[status(thm),theory(equality)],[c_191470,c_190638]) ).
tff(c_190860,plain,
! [X_1547,Z_1548] : ( multiply(inverse(inverse(X_1547)),Z_1548) = multiply(X_1547,Z_1548) ),
inference(superposition,[status(thm),theory(equality)],[c_190456,c_190578]) ).
tff(c_190867,plain,
! [X_1547] : ( multiply(X_1547,identity) = X_1547 ),
inference(superposition,[status(thm),theory(equality)],[c_190860,c_190638]) ).
tff(c_190518,plain,
! [X3_1540] :
( ( multiply(X3_1540,sk_c8) != sk_c9 )
| ( inverse(X3_1540) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_190525,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_190385,c_190518]) ).
tff(c_190540,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190357,c_190525]) ).
tff(c_190541,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_190667,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),identity) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != identity )
| ( multiply(X7_9,identity) != sk_c8 )
| ( multiply(X1_10,sk_c8) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190645,c_190645,c_190645,c_190645,c_2,c_190645,c_190645,c_190645,c_190541]) ).
tff(c_190668,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_190667]) ).
tff(c_191241,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_190867,c_190662,c_190662,c_190668]) ).
tff(c_190661,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190645,c_89]) ).
tff(c_190682,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190661,c_4]) ).
tff(c_190689,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_190682,c_190456]) ).
tff(c_190701,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190689]) ).
tff(c_190705,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190701,c_190661]) ).
tff(c_191243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191241,c_190705]) ).
tff(c_191244,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X7_9) != identity )
| ( multiply(X7_9,identity) != sk_c8 )
| ( multiply(inverse(X4_12),identity) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_190667]) ).
tff(c_217397,plain,
! [X1_10,X7_9,X4_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( inverse(X4_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191491,c_190662,c_191477,c_190662,c_191477,c_190662,c_191477,c_190662,c_191244]) ).
tff(c_217398,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(splitLeft,[status(thm)],[c_217397]) ).
tff(c_191246,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190662,c_172391]) ).
tff(c_191321,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_191246,c_190456]) ).
tff(c_191333,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_191321]) ).
tff(c_191247,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190662,c_172386]) ).
tff(c_191355,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_191333,c_191247]) ).
tff(c_217400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217398,c_191355]) ).
tff(c_217401,plain,
! [X1_10,X7_9] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 ) ),
inference(splitRight,[status(thm)],[c_217397]) ).
tff(c_217403,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_217401]) ).
tff(c_217405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217403,c_191355]) ).
tff(c_218354,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_217401]) ).
tff(c_218356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_218354,c_191355]) ).
tff(c_218358,plain,
inverse(sk_c4) != sk_c9,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_68,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_218410,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_218358,c_68]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_218424,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_218358,c_66]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_218396,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_218358,c_64]) ).
tff(c_218400,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_218396,c_4]) ).
tff(c_218463,plain,
! [Z_1747] : ( multiply(sk_c9,multiply(sk_c6,Z_1747)) = multiply(identity,Z_1747) ),
inference(superposition,[status(thm),theory(equality)],[c_218400,c_218442]) ).
tff(c_218489,plain,
! [Z_1748] : ( multiply(sk_c9,multiply(sk_c6,Z_1748)) = Z_1748 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218463]) ).
tff(c_218501,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_218424,c_218489]) ).
tff(c_218357,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_218362,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_218357,c_4]) ).
tff(c_218472,plain,
! [Z_1747] : ( multiply(sk_c8,multiply(sk_c7,Z_1747)) = multiply(identity,Z_1747) ),
inference(superposition,[status(thm),theory(equality)],[c_218362,c_218442]) ).
tff(c_218512,plain,
! [Z_1749] : ( multiply(sk_c8,multiply(sk_c7,Z_1749)) = Z_1749 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218472]) ).
tff(c_218524,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_218410,c_218512]) ).
tff(c_218586,plain,
! [Z_1753] : ( multiply(sk_c7,multiply(sk_c8,Z_1753)) = multiply(sk_c9,Z_1753) ),
inference(superposition,[status(thm),theory(equality)],[c_218410,c_218442]) ).
tff(c_218601,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c7,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_218524,c_218586]) ).
tff(c_218611,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_218410,c_218501,c_218601]) ).
tff(c_218614,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_218611,c_218611,c_218501]) ).
tff(c_219825,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_218614,c_219801]) ).
tff(c_219865,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_219825]) ).
tff(c_219858,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_219801]) ).
tff(c_220159,plain,
! [X_1780] : ( multiply(X_1780,identity) = X_1780 ),
inference(superposition,[status(thm),theory(equality)],[c_220149,c_219858]) ).
tff(c_218699,plain,
! [X_1754,Z_1755] : ( multiply(inverse(X_1754),multiply(X_1754,Z_1755)) = Z_1755 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_218475]) ).
tff(c_219071,plain,
! [X_1761,Z_1762] : ( multiply(inverse(inverse(X_1761)),Z_1762) = multiply(X_1761,Z_1762) ),
inference(superposition,[status(thm),theory(equality)],[c_218699,c_218487]) ).
tff(c_218759,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_218699]) ).
tff(c_219081,plain,
! [X_1761] : ( multiply(X_1761,identity) = X_1761 ),
inference(superposition,[status(thm),theory(equality)],[c_219071,c_218759]) ).
tff(c_218726,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_218614,c_218699]) ).
tff(c_218767,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_218726]) ).
tff(c_218562,plain,
! [X3_1752] :
( ( multiply(X3_1752,sk_c8) != sk_c9 )
| ( inverse(X3_1752) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_218569,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_218424,c_218562]) ).
tff(c_218584,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_218396,c_218569]) ).
tff(c_218585,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c9) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_218651,plain,
! [X4_12,X7_9,X1_10,X2_11] :
( ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218611,c_218611,c_218611,c_218611,c_218611,c_218611,c_218611,c_218585]) ).
tff(c_218652,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_218651]) ).
tff(c_219763,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_219081,c_218767,c_218767,c_218767,c_218652]) ).
tff(c_218781,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_218767,c_218362]) ).
tff(c_218900,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_218781,c_218487]) ).
tff(c_218912,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_218900]) ).
tff(c_218782,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_218767,c_218357]) ).
tff(c_218917,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_218912,c_218782]) ).
tff(c_219765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_219763,c_218917]) ).
tff(c_219766,plain,
! [X1_10,X7_9,X4_12] :
( ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X4_12),sk_c8) != sk_c8 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_218651]) ).
tff(c_294465,plain,
! [X1_10,X7_9,X4_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 )
| ( inverse(X4_12) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_220196,c_219865,c_220159,c_219865,c_219865,c_220159,c_219865,c_219865,c_2,c_219865,c_219865,c_219865,c_220159,c_219865,c_219865,c_219766]) ).
tff(c_294466,plain,
! [X4_12] : ( inverse(X4_12) != identity ),
inference(splitLeft,[status(thm)],[c_294465]) ).
tff(c_219879,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_219865,c_218362]) ).
tff(c_219959,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_219879,c_218487]) ).
tff(c_219971,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_219959]) ).
tff(c_219880,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_219865,c_218357]) ).
tff(c_219975,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_219971,c_219880]) ).
tff(c_294468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294466,c_219975]) ).
tff(c_294469,plain,
! [X1_10,X7_9] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 ) ),
inference(splitRight,[status(thm)],[c_294465]) ).
tff(c_294471,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_294469]) ).
tff(c_294473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294471,c_219975]) ).
tff(c_295876,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_294469]) ).
tff(c_295878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_295876,c_219975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP219-1 : 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:45:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 37.90/26.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.21/26.14
% 38.21/26.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 38.31/26.24
% 38.31/26.24 Inference rules
% 38.31/26.24 ----------------------
% 38.31/26.24 #Ref : 0
% 38.31/26.24 #Sup : 70815
% 38.31/26.24 #Fact : 0
% 38.31/26.24 #Define : 0
% 38.31/26.24 #Split : 104
% 38.31/26.24 #Chain : 0
% 38.31/26.24 #Close : 0
% 38.31/26.24
% 38.31/26.24 Ordering : KBO
% 38.31/26.24
% 38.31/26.24 Simplification rules
% 38.31/26.24 ----------------------
% 38.31/26.24 #Subsume : 16
% 38.31/26.24 #Demod : 235411
% 38.31/26.24 #Tautology : 57570
% 38.31/26.24 #SimpNegUnit : 136
% 38.31/26.24 #BackRed : 1333
% 38.31/26.24
% 38.31/26.24 #Partial instantiations: 0
% 38.31/26.24 #Strategies tried : 1
% 38.31/26.24
% 38.31/26.24 Timing (in seconds)
% 38.31/26.24 ----------------------
% 38.31/26.24 Preprocessing : 0.51
% 38.31/26.24 Parsing : 0.21
% 38.31/26.25 CNF conversion : 0.03
% 38.31/26.25 Main loop : 24.52
% 38.31/26.25 Inferencing : 4.61
% 38.31/26.25 Reduction : 16.33
% 38.31/26.25 Demodulation : 15.40
% 38.31/26.25 BG Simplification : 0.34
% 38.31/26.25 Subsumption : 2.32
% 38.31/26.25 Abstraction : 1.10
% 38.31/26.25 MUC search : 0.00
% 38.31/26.25 Cooper : 0.00
% 38.31/26.25 Total : 25.26
% 38.31/26.25 Index Insertion : 0.00
% 38.31/26.25 Index Deletion : 0.00
% 38.31/26.25 Index Matching : 0.00
% 38.31/26.25 BG Taut test : 0.00
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