TSTP Solution File: GRP209-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP209-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 10:40:29 EDT 2023
% Result : Unsatisfiable 28.24s 16.67s
% Output : CNFRefutation 28.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 585 ( 466 unt; 13 typ; 0 def)
% Number of atoms : 780 ( 751 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 431 ( 223 ~; 208 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 302 (; 302 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > 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_c10,type,
sk_c10: $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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(X5,X6) != sk_c10 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c9) != sk_c10 )
| ( multiply(sk_c10,X7) != sk_c9 )
| ( multiply(X8,sk_c10) != X7 )
| ( inverse(X8) != sk_c10 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( multiply(X2,sk_c9) != sk_c10 )
| ( inverse(X2) != sk_c9 )
| ( multiply(X4,X3) != sk_c9 )
| ( inverse(X4) != X3 )
| ( multiply(X3,sk_c10) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c8,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c5,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_103972,plain,
! [X_889,Y_890,Z_891] : ( multiply(multiply(X_889,Y_890),Z_891) = multiply(X_889,multiply(Y_890,Z_891)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_104011,plain,
! [X_2,Z_891] : ( multiply(inverse(X_2),multiply(X_2,Z_891)) = multiply(identity,Z_891) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_103972]) ).
tff(c_104885,plain,
! [X_910,Z_911] : ( multiply(inverse(X_910),multiply(X_910,Z_911)) = Z_911 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104011]) ).
tff(c_104023,plain,
! [X_2,Z_891] : ( multiply(inverse(X_2),multiply(X_2,Z_891)) = Z_891 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104011]) ).
tff(c_113920,plain,
! [X_995,Z_996] : ( multiply(inverse(inverse(X_995)),Z_996) = multiply(X_995,Z_996) ),
inference(superposition,[status(thm),theory(equality)],[c_104885,c_104023]) ).
tff(c_104963,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_104885]) ).
tff(c_113930,plain,
! [X_995] : ( multiply(X_995,identity) = X_995 ),
inference(superposition,[status(thm),theory(equality)],[c_113920,c_104963]) ).
tff(c_89893,plain,
! [X_726,Y_727,Z_728] : ( multiply(multiply(X_726,Y_727),Z_728) = multiply(X_726,multiply(Y_727,Z_728)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_89932,plain,
! [X_2,Z_728] : ( multiply(inverse(X_2),multiply(X_2,Z_728)) = multiply(identity,Z_728) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_89893]) ).
tff(c_91946,plain,
! [X_772,Z_773] : ( multiply(inverse(X_772),multiply(X_772,Z_773)) = Z_773 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89932]) ).
tff(c_89944,plain,
! [X_2,Z_728] : ( multiply(inverse(X_2),multiply(X_2,Z_728)) = Z_728 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89932]) ).
tff(c_92316,plain,
! [X_777,Z_778] : ( multiply(inverse(inverse(X_777)),Z_778) = multiply(X_777,Z_778) ),
inference(superposition,[status(thm),theory(equality)],[c_91946,c_89944]) ).
tff(c_92009,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_91946]) ).
tff(c_92323,plain,
! [X_777] : ( multiply(X_777,identity) = X_777 ),
inference(superposition,[status(thm),theory(equality)],[c_92316,c_92009]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_137,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_109,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_113,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_52599,plain,
! [X_420,Y_421,Z_422] : ( multiply(multiply(X_420,Y_421),Z_422) = multiply(X_420,multiply(Y_421,Z_422)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52647,plain,
! [Z_422] : ( multiply(sk_c10,multiply(sk_c3,Z_422)) = multiply(identity,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_52599]) ).
tff(c_52758,plain,
! [Z_427] : ( multiply(sk_c10,multiply(sk_c3,Z_427)) = Z_427 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52647]) ).
tff(c_52770,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_137,c_52758]) ).
tff(c_51367,plain,
! [X_399,Y_400,Z_401] : ( multiply(multiply(X_399,Y_400),Z_401) = multiply(X_399,multiply(Y_400,Z_401)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_51412,plain,
! [Z_401] : ( multiply(sk_c10,multiply(sk_c3,Z_401)) = multiply(identity,Z_401) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_51367]) ).
tff(c_51838,plain,
! [Z_410] : ( multiply(sk_c10,multiply(sk_c3,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51412]) ).
tff(c_51850,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_137,c_51838]) ).
tff(c_56,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_146,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_51854,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_51850,c_146]) ).
tff(c_50534,plain,
! [X_384,Y_385,Z_386] : ( multiply(multiply(X_384,Y_385),Z_386) = multiply(X_384,multiply(Y_385,Z_386)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_50582,plain,
! [Z_386] : ( multiply(sk_c10,multiply(sk_c3,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_50534]) ).
tff(c_50729,plain,
! [Z_392] : ( multiply(sk_c10,multiply(sk_c3,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50582]) ).
tff(c_50741,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_137,c_50729]) ).
tff(c_50745,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_50741,c_146]) ).
tff(c_11011,plain,
! [X_158,Y_159,Z_160] : ( multiply(multiply(X_158,Y_159),Z_160) = multiply(X_158,multiply(Y_159,Z_160)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11062,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11011]) ).
tff(c_14518,plain,
! [X_203,Z_204] : ( multiply(inverse(X_203),multiply(X_203,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11062]) ).
tff(c_11075,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = Z_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11062]) ).
tff(c_15014,plain,
! [X_208,Z_209] : ( multiply(inverse(inverse(X_208)),Z_209) = multiply(X_208,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_14518,c_11075]) ).
tff(c_15061,plain,
! [X_208] : ( multiply(X_208,inverse(X_208)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15014]) ).
tff(c_14,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_153,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_28,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_121,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_125,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_11056,plain,
! [Z_160] : ( multiply(sk_c2,multiply(sk_c1,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_11011]) ).
tff(c_11077,plain,
! [Z_161] : ( multiply(sk_c2,multiply(sk_c1,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11056]) ).
tff(c_11089,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_153,c_11077]) ).
tff(c_14563,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_11089,c_14518]) ).
tff(c_14613,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14563]) ).
tff(c_14602,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14518]) ).
tff(c_15024,plain,
! [X_208] : ( multiply(X_208,identity) = X_208 ),
inference(superposition,[status(thm),theory(equality)],[c_15014,c_14602]) ).
tff(c_11199,plain,
! [X_164,Z_165] : ( multiply(inverse(X_164),multiply(X_164,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11062]) ).
tff(c_11695,plain,
! [X_169,Z_170] : ( multiply(inverse(inverse(X_169)),Z_170) = multiply(X_169,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_11199,c_11075]) ).
tff(c_11742,plain,
! [X_169] : ( multiply(X_169,inverse(X_169)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11695]) ).
tff(c_11244,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_11089,c_11199]) ).
tff(c_11294,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11244]) ).
tff(c_11283,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11199]) ).
tff(c_11705,plain,
! [X_169] : ( multiply(X_169,identity) = X_169 ),
inference(superposition,[status(thm),theory(equality)],[c_11695,c_11283]) ).
tff(c_11059,plain,
! [Z_160] : ( multiply(sk_c10,multiply(sk_c3,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_11011]) ).
tff(c_11100,plain,
! [Z_162] : ( multiply(sk_c10,multiply(sk_c3,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11059]) ).
tff(c_11112,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_137,c_11100]) ).
tff(c_11116,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_11112,c_146]) ).
tff(c_92,plain,
! [X5_6,X4_13,X8_12,X1_10,X2_11] :
( ( multiply(inverse(X4_13),sk_c10) != sk_c9 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_11136,plain,
! [X5_6,X4_13,X8_12,X1_10,X2_11] :
( ( multiply(inverse(X4_13),sk_c10) != sk_c10 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11116,c_11116,c_11116,c_11116,c_11116,c_11116,c_11116,c_92]) ).
tff(c_11137,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_11136]) ).
tff(c_14453,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_11742,c_11294,c_11705,c_11294,c_11294,c_11137]) ).
tff(c_11320,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11294,c_109]) ).
tff(c_11380,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11320,c_4]) ).
tff(c_11419,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_11380,c_11075]) ).
tff(c_11431,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11419]) ).
tff(c_11435,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11431,c_11320]) ).
tff(c_14455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14453,c_11435]) ).
tff(c_14456,plain,
! [X8_12,X1_10,X2_11,X4_13] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 )
| ( multiply(inverse(X4_13),sk_c10) != sk_c10 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_11136]) ).
tff(c_22331,plain,
! [X8_12,X1_10,X2_11,X4_13] :
( ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X4_13) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15061,c_14613,c_15024,c_14613,c_14613,c_15024,c_14613,c_14613,c_14613,c_14613,c_15024,c_14613,c_14613,c_15024,c_14613,c_14613,c_2,c_14613,c_14613,c_14456]) ).
tff(c_22332,plain,
! [X4_13] : ( inverse(X4_13) != identity ),
inference(splitLeft,[status(thm)],[c_22331]) ).
tff(c_14639,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14613,c_109]) ).
tff(c_14699,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14639,c_4]) ).
tff(c_14738,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_14699,c_11075]) ).
tff(c_14750,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14738]) ).
tff(c_14754,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14750,c_14639]) ).
tff(c_22334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22332,c_14754]) ).
tff(c_22335,plain,
! [X8_12,X1_10,X2_11] :
( ( inverse(X8_12) != identity )
| ( identity != X8_12 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_22331]) ).
tff(c_49624,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22335]) ).
tff(c_49626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49624,c_14754]) ).
tff(c_49627,plain,
! [X1_10,X8_12] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(splitRight,[status(thm)],[c_22335]) ).
tff(c_49629,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_49627]) ).
tff(c_49631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49629,c_14754]) ).
tff(c_50449,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_49627]) ).
tff(c_50451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50449,c_14754]) ).
tff(c_50453,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_20,plain,
( ( multiply(sk_c8,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_50505,plain,
multiply(sk_c8,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_50453,c_20]) ).
tff(c_50773,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_50745,c_50505]) ).
tff(c_16,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_50514,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_50453,c_16]) ).
tff(c_50772,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_50745,c_50514]) ).
tff(c_18,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_50465,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_50453,c_18]) ).
tff(c_50469,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50465,c_4]) ).
tff(c_50564,plain,
! [Z_386] : ( multiply(sk_c8,multiply(sk_c7,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_50469,c_50534]) ).
tff(c_50834,plain,
! [Z_394] : ( multiply(sk_c8,multiply(sk_c7,Z_394)) = Z_394 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50564]) ).
tff(c_50846,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_50772,c_50834]) ).
tff(c_50850,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_50773,c_50846]) ).
tff(c_50852,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_50850,c_50773]) ).
tff(c_50585,plain,
! [X_2,Z_386] : ( multiply(inverse(X_2),multiply(X_2,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50534]) ).
tff(c_50598,plain,
! [X_2,Z_386] : ( multiply(inverse(X_2),multiply(X_2,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50585]) ).
tff(c_51009,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_50852,c_50598]) ).
tff(c_51015,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51009]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_50473,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_50774,plain,
multiply(sk_c2,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_50745,c_50473]) ).
tff(c_51026,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51015,c_51015,c_50774]) ).
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_51252,plain,
! [Z_5] : ( multiply(sk_c2,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_51026,c_6]) ).
tff(c_51259,plain,
! [Z_398] : ( multiply(sk_c2,Z_398) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_51252]) ).
tff(c_51274,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_51259,c_125]) ).
tff(c_51033,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51015,c_50453]) ).
tff(c_51287,plain,
multiply(identity,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51274,c_51033]) ).
tff(c_51291,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51287]) ).
tff(c_50855,plain,
inverse(sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_50850,c_50465]) ).
tff(c_51022,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51015,c_50855]) ).
tff(c_51056,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51022,c_4]) ).
tff(c_51111,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_51056,c_50598]) ).
tff(c_51123,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51111]) ).
tff(c_51127,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51123,c_51022]) ).
tff(c_51290,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_51274,c_121]) ).
tff(c_51294,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51127,c_51290]) ).
tff(c_51301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51291,c_51294]) ).
tff(c_51303,plain,
multiply(sk_c2,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_38,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_51352,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_51303,c_38]) ).
tff(c_51862,plain,
multiply(sk_c5,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_51854,c_51352]) ).
tff(c_51302,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_51307,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51302,c_4]) ).
tff(c_51397,plain,
! [Z_401] : ( multiply(sk_c10,multiply(sk_c5,Z_401)) = multiply(identity,Z_401) ),
inference(superposition,[status(thm),theory(equality)],[c_51307,c_51367]) ).
tff(c_51919,plain,
! [Z_411] : ( multiply(sk_c10,multiply(sk_c5,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51397]) ).
tff(c_51931,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_51862,c_51919]) ).
tff(c_51415,plain,
! [X_2,Z_401] : ( multiply(inverse(X_2),multiply(X_2,Z_401)) = multiply(identity,Z_401) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51367]) ).
tff(c_51942,plain,
! [X_412,Z_413] : ( multiply(inverse(X_412),multiply(X_412,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51415]) ).
tff(c_51960,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_51931,c_51942]) ).
tff(c_52030,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_51960]) ).
tff(c_52066,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_52030,c_50453]) ).
tff(c_51428,plain,
! [X_2,Z_401] : ( multiply(inverse(X_2),multiply(X_2,Z_401)) = Z_401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51415]) ).
tff(c_52358,plain,
! [X_417,Z_418] : ( multiply(inverse(inverse(X_417)),Z_418) = multiply(X_417,Z_418) ),
inference(superposition,[status(thm),theory(equality)],[c_51428,c_51942]) ).
tff(c_52023,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51942]) ).
tff(c_52413,plain,
! [X_419] : ( multiply(X_419,identity) = X_419 ),
inference(superposition,[status(thm),theory(equality)],[c_52358,c_52023]) ).
tff(c_52011,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_51942]) ).
tff(c_52426,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_52413,c_52011]) ).
tff(c_52503,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52426,c_4]) ).
tff(c_52509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52066,c_52503]) ).
tff(c_52511,plain,
multiply(sk_c10,sk_c4) != sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_52774,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_52770,c_52511]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_52583,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52511,c_52]) ).
tff(c_50,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_52550,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52511,c_50]) ).
tff(c_52554,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52550,c_4]) ).
tff(c_52626,plain,
! [Z_422] : ( multiply(sk_c10,multiply(sk_c5,Z_422)) = multiply(identity,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_52554,c_52599]) ).
tff(c_52834,plain,
! [Z_429] : ( multiply(sk_c10,multiply(sk_c5,Z_429)) = Z_429 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52626]) ).
tff(c_52849,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52583,c_52834]) ).
tff(c_8,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_52544,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_52644,plain,
! [Z_422] : ( multiply(sk_c2,multiply(sk_c1,Z_422)) = multiply(identity,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_52599]) ).
tff(c_52665,plain,
! [Z_423] : ( multiply(sk_c2,multiply(sk_c1,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52644]) ).
tff(c_52677,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_52544,c_52665]) ).
tff(c_52903,plain,
! [Z_432] : ( multiply(sk_c1,multiply(sk_c2,Z_432)) = multiply(sk_c10,Z_432) ),
inference(superposition,[status(thm),theory(equality)],[c_52544,c_52599]) ).
tff(c_52918,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_52677,c_52903]) ).
tff(c_52931,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_52849,c_52544,c_52918]) ).
tff(c_52933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52774,c_52931]) ).
tff(c_52935,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_52975,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_52935,c_16]) ).
tff(c_60,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_52524,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_52511,c_60]) ).
tff(c_52528,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52524,c_4]) ).
tff(c_52992,plain,
! [X_433,Y_434,Z_435] : ( multiply(multiply(X_433,Y_434),Z_435) = multiply(X_433,multiply(Y_434,Z_435)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53025,plain,
! [Z_435] : ( multiply(sk_c8,multiply(sk_c7,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_52528,c_52992]) ).
tff(c_53093,plain,
! [Z_438] : ( multiply(sk_c8,multiply(sk_c7,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53025]) ).
tff(c_53105,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52975,c_53093]) ).
tff(c_53040,plain,
! [X_2,Z_435] : ( multiply(inverse(X_2),multiply(X_2,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52992]) ).
tff(c_53424,plain,
! [X_446,Z_447] : ( multiply(inverse(X_446),multiply(X_446,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53040]) ).
tff(c_53451,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53105,c_53424]) ).
tff(c_53520,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53451]) ).
tff(c_54,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_52956,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52511,c_54]) ).
tff(c_52510,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_52516,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52510,c_4]) ).
tff(c_53028,plain,
! [Z_435] : ( multiply(sk_c9,multiply(sk_c6,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_52516,c_52992]) ).
tff(c_53116,plain,
! [Z_439] : ( multiply(sk_c9,multiply(sk_c6,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53028]) ).
tff(c_53128,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_52956,c_53116]) ).
tff(c_53445,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53128,c_53424]) ).
tff(c_53519,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53445]) ).
tff(c_53037,plain,
! [Z_435] : ( multiply(sk_c10,multiply(sk_c3,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_52992]) ).
tff(c_53068,plain,
! [Z_437] : ( multiply(sk_c10,multiply(sk_c3,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53037]) ).
tff(c_53080,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_137,c_53068]) ).
tff(c_53085,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53080,c_52511]) ).
tff(c_53534,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53519,c_53085]) ).
tff(c_53600,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53520,c_53534]) ).
tff(c_53602,plain,
multiply(sk_c3,sk_c10) != sk_c4,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_68,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_53688,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_53602,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_53653,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53602,c_70]) ).
tff(c_53657,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53653,c_4]) ).
tff(c_53699,plain,
! [X_449,Y_450,Z_451] : ( multiply(multiply(X_449,Y_450),Z_451) = multiply(X_449,multiply(Y_450,Z_451)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53726,plain,
! [Z_451] : ( multiply(sk_c9,multiply(sk_c6,Z_451)) = multiply(identity,Z_451) ),
inference(superposition,[status(thm),theory(equality)],[c_53657,c_53699]) ).
tff(c_53948,plain,
! [Z_462] : ( multiply(sk_c9,multiply(sk_c6,Z_462)) = Z_462 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53726]) ).
tff(c_53960,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53688,c_53948]) ).
tff(c_53750,plain,
! [X_2,Z_451] : ( multiply(inverse(X_2),multiply(X_2,Z_451)) = multiply(identity,Z_451) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53699]) ).
tff(c_54300,plain,
! [X_469,Z_470] : ( multiply(inverse(X_469),multiply(X_469,Z_470)) = Z_470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53750]) ).
tff(c_54330,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53960,c_54300]) ).
tff(c_54410,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54330]) ).
tff(c_54447,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54410,c_109]) ).
tff(c_54461,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54447,c_4]) ).
tff(c_53763,plain,
! [X_2,Z_451] : ( multiply(inverse(X_2),multiply(X_2,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53750]) ).
tff(c_54478,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_54461,c_53763]) ).
tff(c_54490,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54478]) ).
tff(c_54444,plain,
multiply(sk_c3,identity) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_54410,c_53602]) ).
tff(c_54690,plain,
sk_c4 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54490,c_54444]) ).
tff(c_72,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_53675,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53602,c_72]) ).
tff(c_74,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_53616,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_53602,c_74]) ).
tff(c_53620,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53616,c_4]) ).
tff(c_53738,plain,
! [Z_451] : ( multiply(sk_c8,multiply(sk_c7,Z_451)) = multiply(identity,Z_451) ),
inference(superposition,[status(thm),theory(equality)],[c_53620,c_53699]) ).
tff(c_53971,plain,
! [Z_463] : ( multiply(sk_c8,multiply(sk_c7,Z_463)) = Z_463 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53738]) ).
tff(c_53983,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53675,c_53971]) ).
tff(c_54324,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53983,c_54300]) ).
tff(c_54409,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54324]) ).
tff(c_53629,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_54433,plain,
multiply(sk_c10,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54409,c_53629]) ).
tff(c_54750,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54410,c_54433]) ).
tff(c_54751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54690,c_54750]) ).
tff(c_54753,plain,
multiply(sk_c10,sk_c4) != sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_54782,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_54753,c_54]) ).
tff(c_54752,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_54757,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54752,c_4]) ).
tff(c_88840,plain,
! [X_704,Y_705,Z_706] : ( multiply(multiply(X_704,Y_705),Z_706) = multiply(X_704,multiply(Y_705,Z_706)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_88867,plain,
! [Z_706] : ( multiply(sk_c9,multiply(sk_c6,Z_706)) = multiply(identity,Z_706) ),
inference(superposition,[status(thm),theory(equality)],[c_54757,c_88840]) ).
tff(c_89059,plain,
! [Z_713] : ( multiply(sk_c9,multiply(sk_c6,Z_713)) = Z_713 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_88867]) ).
tff(c_89071,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_54782,c_89059]) ).
tff(c_89098,plain,
! [Z_715] : ( multiply(sk_c6,multiply(sk_c9,Z_715)) = multiply(sk_c10,Z_715) ),
inference(superposition,[status(thm),theory(equality)],[c_54782,c_88840]) ).
tff(c_89113,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_89071,c_89098]) ).
tff(c_89123,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54782,c_89113]) ).
tff(c_88882,plain,
! [X_2,Z_706] : ( multiply(inverse(X_2),multiply(X_2,Z_706)) = multiply(identity,Z_706) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_88840]) ).
tff(c_89245,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_88882]) ).
tff(c_89284,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_89123,c_89245]) ).
tff(c_89334,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_89284]) ).
tff(c_54822,plain,
! [X_474,Y_475,Z_476] : ( multiply(multiply(X_474,Y_475),Z_476) = multiply(X_474,multiply(Y_475,Z_476)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54867,plain,
! [X_2,Z_476] : ( multiply(inverse(X_2),multiply(X_2,Z_476)) = multiply(identity,Z_476) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54822]) ).
tff(c_60101,plain,
! [X_545,Z_546] : ( multiply(inverse(X_545),multiply(X_545,Z_546)) = Z_546 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54867]) ).
tff(c_54880,plain,
! [X_2,Z_476] : ( multiply(inverse(X_2),multiply(X_2,Z_476)) = Z_476 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54867]) ).
tff(c_60567,plain,
! [X_550,Z_551] : ( multiply(inverse(inverse(X_550)),Z_551) = multiply(X_550,Z_551) ),
inference(superposition,[status(thm),theory(equality)],[c_60101,c_54880]) ).
tff(c_60173,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_60101]) ).
tff(c_60577,plain,
! [X_550] : ( multiply(X_550,identity) = X_550 ),
inference(superposition,[status(thm),theory(equality)],[c_60567,c_60173]) ).
tff(c_54793,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_54861,plain,
! [Z_476] : ( multiply(sk_c2,multiply(sk_c1,Z_476)) = multiply(identity,Z_476) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_54822]) ).
tff(c_54882,plain,
! [Z_477] : ( multiply(sk_c2,multiply(sk_c1,Z_477)) = Z_477 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54861]) ).
tff(c_54894,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_54793,c_54882]) ).
tff(c_60137,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54894,c_60101]) ).
tff(c_60182,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60137]) ).
tff(c_55996,plain,
! [X_498,Z_499] : ( multiply(inverse(X_498),multiply(X_498,Z_499)) = Z_499 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54867]) ).
tff(c_56446,plain,
! [X_504,Z_505] : ( multiply(inverse(inverse(X_504)),Z_505) = multiply(X_504,Z_505) ),
inference(superposition,[status(thm),theory(equality)],[c_54880,c_55996]) ).
tff(c_56068,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55996]) ).
tff(c_56456,plain,
! [X_504] : ( multiply(X_504,identity) = X_504 ),
inference(superposition,[status(thm),theory(equality)],[c_56446,c_56068]) ).
tff(c_56038,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54894,c_55996]) ).
tff(c_56079,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56038]) ).
tff(c_55848,plain,
! [Z_495] : ( multiply(sk_c1,multiply(sk_c2,Z_495)) = multiply(sk_c10,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_54793,c_54822]) ).
tff(c_55863,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_54894,c_55848]) ).
tff(c_55873,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54793,c_55863]) ).
tff(c_54804,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_54753,c_52]) ).
tff(c_53601,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_53606,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53601,c_4]) ).
tff(c_54858,plain,
! [Z_476] : ( multiply(sk_c10,multiply(sk_c5,Z_476)) = multiply(identity,Z_476) ),
inference(superposition,[status(thm),theory(equality)],[c_53606,c_54822]) ).
tff(c_55904,plain,
! [Z_497] : ( multiply(sk_c10,multiply(sk_c5,Z_497)) = Z_497 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54858]) ).
tff(c_55916,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_54804,c_55904]) ).
tff(c_55920,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55873,c_55916]) ).
tff(c_55489,plain,
! [X_491,Z_492] : ( multiply(inverse(X_491),multiply(X_491,Z_492)) = Z_492 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54867]) ).
tff(c_55534,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54894,c_55489]) ).
tff(c_55575,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55534]) ).
tff(c_55600,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55575,c_109]) ).
tff(c_55638,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55600,c_4]) ).
tff(c_55684,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_55638,c_54880]) ).
tff(c_55696,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55684]) ).
tff(c_55343,plain,
! [Z_489] : ( multiply(sk_c1,multiply(sk_c2,Z_489)) = multiply(sk_c10,Z_489) ),
inference(superposition,[status(thm),theory(equality)],[c_54793,c_54822]) ).
tff(c_55358,plain,
multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_54894,c_55343]) ).
tff(c_55368,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54793,c_55358]) ).
tff(c_55327,plain,
! [Z_488] : ( multiply(sk_c10,multiply(sk_c5,Z_488)) = Z_488 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54858]) ).
tff(c_55339,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_54804,c_55327]) ).
tff(c_55376,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55368,c_55339]) ).
tff(c_58,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_54787,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_54753,c_58]) ).
tff(c_54855,plain,
! [Z_476] : ( multiply(sk_c8,multiply(sk_c7,Z_476)) = multiply(identity,Z_476) ),
inference(superposition,[status(thm),theory(equality)],[c_53620,c_54822]) ).
tff(c_54919,plain,
! [Z_479] : ( multiply(sk_c8,multiply(sk_c7,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54855]) ).
tff(c_54931,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_54787,c_54919]) ).
tff(c_55011,plain,
! [X_483,Z_484] : ( multiply(inverse(X_483),multiply(X_483,Z_484)) = Z_484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54867]) ).
tff(c_55041,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_54931,c_55011]) ).
tff(c_55112,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55041]) ).
tff(c_54852,plain,
! [Z_476] : ( multiply(sk_c9,multiply(sk_c6,Z_476)) = multiply(identity,Z_476) ),
inference(superposition,[status(thm),theory(equality)],[c_54757,c_54822]) ).
tff(c_54942,plain,
! [Z_480] : ( multiply(sk_c9,multiply(sk_c6,Z_480)) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54852]) ).
tff(c_54954,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_54782,c_54942]) ).
tff(c_55035,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54954,c_55011]) ).
tff(c_55111,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55035]) ).
tff(c_54981,plain,
! [X5_482] :
( ( multiply(inverse(X5_482),sk_c9) != sk_c10 )
| ( multiply(X5_482,inverse(X5_482)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_54985,plain,
( ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_53616,c_54981]) ).
tff(c_54997,plain,
( ( sk_c8 != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54787,c_53616,c_54931,c_54985]) ).
tff(c_55010,plain,
sk_c9 != sk_c10,
inference(splitLeft,[status(thm)],[c_54997]) ).
tff(c_55124,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_55111,c_55010]) ).
tff(c_55227,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55112,c_55124]) ).
tff(c_55228,plain,
sk_c8 != sk_c10,
inference(splitRight,[status(thm)],[c_54997]) ).
tff(c_55229,plain,
sk_c9 = sk_c10,
inference(splitRight,[status(thm)],[c_54997]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_54798,plain,
multiply(sk_c8,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_54753,c_62]) ).
tff(c_55238,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55229,c_54798]) ).
tff(c_55236,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_55229,c_54931]) ).
tff(c_55299,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55238,c_55236]) ).
tff(c_55301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55228,c_55299]) ).
tff(c_55302,plain,
! [X8_12,X1_10,X2_11,X4_13] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( multiply(inverse(X4_13),sk_c10) != sk_c9 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_55303,plain,
! [X4_13] :
( ( multiply(inverse(X4_13),sk_c10) != sk_c9 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_55302]) ).
tff(c_55411,plain,
! [X4_490] :
( ( multiply(inverse(X4_490),sk_c10) != sk_c10 )
| ( multiply(X4_490,inverse(X4_490)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55376,c_55376,c_55303]) ).
tff(c_55421,plain,
( ( multiply(sk_c10,sk_c10) != sk_c10 )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_55411]) ).
tff(c_55433,plain,
multiply(sk_c3,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_55368,c_55421]) ).
tff(c_55823,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55696,c_55575,c_55575,c_55433]) ).
tff(c_55824,plain,
! [X2_11,X1_10,X8_12] :
( ( inverse(X2_11) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_55302]) ).
tff(c_55936,plain,
! [X2_11,X1_10,X8_12] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55920,c_55920,c_55920,c_55920,c_55824]) ).
tff(c_55937,plain,
! [X8_12] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_55936]) ).
tff(c_60090,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_56456,c_56079,c_56079,c_2,c_56079,c_56079,c_55937]) ).
tff(c_56099,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56079,c_53601]) ).
tff(c_56181,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_56099,c_4]) ).
tff(c_56243,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_56181,c_54880]) ).
tff(c_56255,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56243]) ).
tff(c_56259,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56255,c_56099]) ).
tff(c_60092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60090,c_56259]) ).
tff(c_60093,plain,
! [X1_10,X2_11] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_55936]) ).
tff(c_88801,plain,
! [X1_10,X2_11] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60577,c_60182,c_60182,c_60182,c_60182,c_60577,c_60182,c_60182,c_60093]) ).
tff(c_88803,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_88801]) ).
tff(c_55930,plain,
inverse(sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55920,c_54752]) ).
tff(c_60097,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55930,c_4]) ).
tff(c_60212,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60182,c_60097]) ).
tff(c_60188,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60182,c_55930]) ).
tff(c_60237,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60212,c_60188]) ).
tff(c_88805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88803,c_60237]) ).
tff(c_88807,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_88801]) ).
tff(c_88809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88807,c_60237]) ).
tff(c_88811,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_89359,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_89334,c_88811]) ).
tff(c_88895,plain,
! [X_2,Z_706] : ( multiply(inverse(X_2),multiply(X_2,Z_706)) = Z_706 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_88882]) ).
tff(c_89648,plain,
! [X_723,Z_724] : ( multiply(inverse(inverse(X_723)),Z_724) = multiply(X_723,Z_724) ),
inference(superposition,[status(thm),theory(equality)],[c_88895,c_89245]) ).
tff(c_89323,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_89245]) ).
tff(c_89702,plain,
! [X_725] : ( multiply(X_725,identity) = X_725 ),
inference(superposition,[status(thm),theory(equality)],[c_89648,c_89323]) ).
tff(c_89311,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_89245]) ).
tff(c_89715,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89702,c_89311]) ).
tff(c_89792,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89715,c_4]) ).
tff(c_89798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89359,c_89792]) ).
tff(c_89800,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_89855,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_89800,c_24]) ).
tff(c_22,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_89829,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_89800,c_22]) ).
tff(c_89833,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89829,c_4]) ).
tff(c_89920,plain,
! [Z_728] : ( multiply(sk_c10,multiply(sk_c5,Z_728)) = multiply(identity,Z_728) ),
inference(superposition,[status(thm),theory(equality)],[c_89833,c_89893]) ).
tff(c_89946,plain,
! [Z_729] : ( multiply(sk_c10,multiply(sk_c5,Z_729)) = Z_729 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89920]) ).
tff(c_89958,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_89855,c_89946]) ).
tff(c_26,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_89848,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_89800,c_26]) ).
tff(c_89799,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_89804,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89799,c_4]) ).
tff(c_89926,plain,
! [Z_728] : ( multiply(sk_c9,multiply(sk_c6,Z_728)) = multiply(identity,Z_728) ),
inference(superposition,[status(thm),theory(equality)],[c_89804,c_89893]) ).
tff(c_90272,plain,
! [Z_740] : ( multiply(sk_c9,multiply(sk_c6,Z_740)) = Z_740 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89926]) ).
tff(c_90293,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_89848,c_90272]) ).
tff(c_89914,plain,
! [Z_728] : ( multiply(sk_c6,multiply(sk_c9,Z_728)) = multiply(sk_c10,Z_728) ),
inference(superposition,[status(thm),theory(equality)],[c_89848,c_89893]) ).
tff(c_90300,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_90293,c_89914]) ).
tff(c_90306,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89958,c_89848,c_90300]) ).
tff(c_90397,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_90306,c_90293]) ).
tff(c_91979,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_90397,c_91946]) ).
tff(c_92019,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_91979]) ).
tff(c_90581,plain,
! [X_744,Z_745] : ( multiply(inverse(X_744),multiply(X_744,Z_745)) = Z_745 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89932]) ).
tff(c_90843,plain,
! [X_749,Z_750] : ( multiply(inverse(inverse(X_749)),Z_750) = multiply(X_749,Z_750) ),
inference(superposition,[status(thm),theory(equality)],[c_90581,c_89944]) ).
tff(c_90644,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_90581]) ).
tff(c_90850,plain,
! [X_749] : ( multiply(X_749,identity) = X_749 ),
inference(superposition,[status(thm),theory(equality)],[c_90843,c_90644]) ).
tff(c_90406,plain,
multiply(sk_c10,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_89804]) ).
tff(c_90225,plain,
! [Z_738] : ( multiply(sk_c6,multiply(sk_c9,Z_738)) = multiply(sk_c10,Z_738) ),
inference(superposition,[status(thm),theory(equality)],[c_89848,c_89893]) ).
tff(c_90237,plain,
multiply(sk_c6,identity) = multiply(sk_c10,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_89804,c_90225]) ).
tff(c_90287,plain,
multiply(sk_c9,multiply(sk_c10,sk_c6)) = identity,
inference(superposition,[status(thm),theory(equality)],[c_90237,c_90272]) ).
tff(c_90521,plain,
multiply(sk_c10,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90406,c_90306,c_90287]) ).
tff(c_90525,plain,
! [Z_5] : ( multiply(sk_c10,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_90521,c_6]) ).
tff(c_90528,plain,
! [Z_5] : ( multiply(sk_c10,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_90525]) ).
tff(c_90794,plain,
! [Z_748] : ( multiply(inverse(sk_c10),Z_748) = Z_748 ),
inference(superposition,[status(thm),theory(equality)],[c_90528,c_90581]) ).
tff(c_90811,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_90794,c_4]) ).
tff(c_34,plain,
( ( multiply(sk_c8,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_89863,plain,
multiply(sk_c8,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_89800,c_34]) ).
tff(c_90314,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_89863]) ).
tff(c_30,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_89843,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_89800,c_30]) ).
tff(c_32,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_89808,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_89809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89800,c_89808]) ).
tff(c_89810,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_89815,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89810,c_4]) ).
tff(c_89923,plain,
! [Z_728] : ( multiply(sk_c8,multiply(sk_c7,Z_728)) = multiply(identity,Z_728) ),
inference(superposition,[status(thm),theory(equality)],[c_89815,c_89893]) ).
tff(c_90241,plain,
! [Z_739] : ( multiply(sk_c8,multiply(sk_c7,Z_739)) = Z_739 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89923]) ).
tff(c_90253,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_89843,c_90241]) ).
tff(c_90311,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_90253]) ).
tff(c_90355,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90314,c_90311]) ).
tff(c_90317,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_89843]) ).
tff(c_90372,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90355,c_90317]) ).
tff(c_90359,plain,
inverse(sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90355,c_89810]) ).
tff(c_90309,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_90306,c_90293]) ).
tff(c_89983,plain,
! [Z_731] : ( multiply(sk_c9,multiply(sk_c6,Z_731)) = Z_731 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89926]) ).
tff(c_89995,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_89848,c_89983]) ).
tff(c_90049,plain,
! [X_734,Z_735] : ( multiply(inverse(X_734),multiply(X_734,Z_735)) = Z_735 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89932]) ).
tff(c_90073,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_89995,c_90049]) ).
tff(c_90135,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_90073]) ).
tff(c_90006,plain,
! [Z_732] : ( multiply(sk_c8,multiply(sk_c7,Z_732)) = Z_732 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_89923]) ).
tff(c_90018,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_89843,c_90006]) ).
tff(c_90067,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_90018,c_90049]) ).
tff(c_90134,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_90067]) ).
tff(c_90022,plain,
! [X5_733] :
( ( multiply(inverse(X5_733),sk_c9) != sk_c10 )
| ( multiply(X5_733,inverse(X5_733)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_90028,plain,
( ( multiply(sk_c9,sk_c9) != sk_c10 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_89799,c_90022]) ).
tff(c_90037,plain,
multiply(sk_c9,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_89848,c_89799,c_90028]) ).
tff(c_90146,plain,
multiply(identity,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90134,c_90134,c_90037]) ).
tff(c_90158,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_90146]) ).
tff(c_90203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_90135,c_90158]) ).
tff(c_90204,plain,
! [X8_12,X1_10,X2_11,X4_13] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( multiply(inverse(X4_13),sk_c10) != sk_c9 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_90308,plain,
! [X4_13] :
( ( multiply(inverse(X4_13),sk_c10) != sk_c9 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_90204]) ).
tff(c_90381,plain,
! [X4_741] :
( ( multiply(inverse(X4_741),sk_c10) != sk_c10 )
| ( multiply(X4_741,inverse(X4_741)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_90306,c_90308]) ).
tff(c_90383,plain,
( ( multiply(sk_c10,sk_c10) != sk_c10 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_90359,c_90381]) ).
tff(c_90395,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_90372,c_90359,c_90309,c_90383]) ).
tff(c_90396,plain,
! [X2_11,X1_10,X8_12] :
( ( inverse(X2_11) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_90204]) ).
tff(c_90468,plain,
! [X2_11,X1_10,X8_12] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_90306,c_90306,c_90306,c_90396]) ).
tff(c_90469,plain,
! [X8_12] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_90468]) ).
tff(c_91891,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_90850,c_90811,c_90811,c_2,c_90811,c_90811,c_90469]) ).
tff(c_90532,plain,
! [Z_743] : ( multiply(sk_c10,Z_743) = Z_743 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_90525]) ).
tff(c_90402,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_89863]) ).
tff(c_90399,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_90306,c_90253]) ).
tff(c_90443,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90402,c_90399]) ).
tff(c_90446,plain,
multiply(sk_c10,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90443,c_89815]) ).
tff(c_90538,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_90532,c_90446]) ).
tff(c_90447,plain,
inverse(sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90443,c_89810]) ).
tff(c_90668,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_90538,c_90447]) ).
tff(c_90829,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_90811,c_90668]) ).
tff(c_91893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91891,c_90829]) ).
tff(c_91894,plain,
! [X1_10,X2_11] :
( ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_90468]) ).
tff(c_103857,plain,
! [X1_10,X2_11] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92323,c_92019,c_92019,c_92019,c_92019,c_92323,c_92019,c_92019,c_91894]) ).
tff(c_103859,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_103857]) ).
tff(c_92036,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_92019,c_113]) ).
tff(c_92131,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_92036,c_89944]) ).
tff(c_92143,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_92131]) ).
tff(c_92037,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_92019,c_109]) ).
tff(c_92165,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_92143,c_92037]) ).
tff(c_103861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103859,c_92165]) ).
tff(c_103863,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_103857]) ).
tff(c_103865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103863,c_92165]) ).
tff(c_103867,plain,
inverse(sk_c3) != sk_c10,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_82,plain,
( ( multiply(sk_c6,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_103951,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_103867,c_82]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_103908,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_103867,c_84]) ).
tff(c_103912,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_103908,c_4]) ).
tff(c_103999,plain,
! [Z_891] : ( multiply(sk_c9,multiply(sk_c6,Z_891)) = multiply(identity,Z_891) ),
inference(superposition,[status(thm),theory(equality)],[c_103912,c_103972]) ).
tff(c_104025,plain,
! [Z_892] : ( multiply(sk_c9,multiply(sk_c6,Z_892)) = Z_892 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103999]) ).
tff(c_104037,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_103951,c_104025]) ).
tff(c_104918,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_104037,c_104885]) ).
tff(c_104971,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104918]) ).
tff(c_105250,plain,
! [X_913,Z_914] : ( multiply(inverse(inverse(X_913)),Z_914) = multiply(X_913,Z_914) ),
inference(superposition,[status(thm),theory(equality)],[c_104023,c_104885]) ).
tff(c_105274,plain,
! [X_913] : ( multiply(X_913,inverse(X_913)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_105250,c_4]) ).
tff(c_105260,plain,
! [X_913] : ( multiply(X_913,identity) = X_913 ),
inference(superposition,[status(thm),theory(equality)],[c_105250,c_104963]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_103935,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_103867,c_86]) ).
tff(c_88,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_103875,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_103876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103867,c_103875]) ).
tff(c_103877,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_103882,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_103877,c_4]) ).
tff(c_104005,plain,
! [Z_891] : ( multiply(sk_c8,multiply(sk_c7,Z_891)) = multiply(identity,Z_891) ),
inference(superposition,[status(thm),theory(equality)],[c_103882,c_103972]) ).
tff(c_104048,plain,
! [Z_893] : ( multiply(sk_c8,multiply(sk_c7,Z_893)) = Z_893 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104005]) ).
tff(c_104060,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_103935,c_104048]) ).
tff(c_104912,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_104060,c_104885]) ).
tff(c_104970,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104912]) ).
tff(c_80,plain,
( ( multiply(sk_c5,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_103927,plain,
multiply(sk_c5,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_103867,c_80]) ).
tff(c_103866,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_103871,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_103866,c_4]) ).
tff(c_104008,plain,
! [Z_891] : ( multiply(sk_c10,multiply(sk_c5,Z_891)) = multiply(identity,Z_891) ),
inference(superposition,[status(thm),theory(equality)],[c_103871,c_103972]) ).
tff(c_104072,plain,
! [Z_894] : ( multiply(sk_c10,multiply(sk_c5,Z_894)) = Z_894 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104008]) ).
tff(c_104084,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_103927,c_104072]) ).
tff(c_90,plain,
( ( multiply(sk_c8,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_103944,plain,
multiply(sk_c8,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_103867,c_90]) ).
tff(c_104108,plain,
! [Z_896] : ( multiply(sk_c8,multiply(sk_c10,Z_896)) = multiply(sk_c9,Z_896) ),
inference(superposition,[status(thm),theory(equality)],[c_103944,c_103972]) ).
tff(c_104120,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_104084,c_104108]) ).
tff(c_104130,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104060,c_104037,c_104120]) ).
tff(c_104137,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104130,c_103944]) ).
tff(c_104256,plain,
! [X_899,Z_900] : ( multiply(inverse(X_899),multiply(X_899,Z_900)) = Z_900 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104011]) ).
tff(c_104295,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_104137,c_104256]) ).
tff(c_104346,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104295]) ).
tff(c_104126,plain,
multiply(sk_c9,sk_c5) = multiply(sk_c8,identity),
inference(superposition,[status(thm),theory(equality)],[c_103871,c_104108]) ).
tff(c_104230,plain,
multiply(sk_c8,sk_c5) = multiply(sk_c8,identity),
inference(demodulation,[status(thm),theory(equality)],[c_104130,c_104126]) ).
tff(c_104277,plain,
multiply(inverse(sk_c8),multiply(sk_c8,identity)) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_104230,c_104256]) ).
tff(c_104341,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104023,c_104277]) ).
tff(c_104355,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_104341,c_103866]) ).
tff(c_104424,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104346,c_104355]) ).
tff(c_104133,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104130,c_104060]) ).
tff(c_104289,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_104133,c_104256]) ).
tff(c_104344,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104289]) ).
tff(c_104071,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c9) != sk_c10 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_104178,plain,
! [X5_897] :
( ( multiply(inverse(X5_897),sk_c8) != sk_c10 )
| ( multiply(X5_897,inverse(X5_897)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104130,c_104071]) ).
tff(c_104189,plain,
( ( sk_c10 != identity )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_104178]) ).
tff(c_104847,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104424,c_104346,c_104344,c_2,c_104344,c_104346,c_104189]) ).
tff(c_104848,plain,
! [X8_12,X1_10,X2_11,X4_13] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X2_11,sk_c9) != sk_c10 )
| ( multiply(inverse(X4_13),sk_c10) != sk_c9 )
| ( multiply(X4_13,inverse(X4_13)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_104993,plain,
! [X8_12,X1_10,X2_11,X4_13] :
( ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c10 )
| ( multiply(inverse(X4_13),sk_c10) != identity )
| ( multiply(X4_13,inverse(X4_13)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104970,c_104970,c_104970,c_104970,c_104970,c_104970,c_104848]) ).
tff(c_104994,plain,
! [X4_13] :
( ( multiply(inverse(X4_13),sk_c10) != identity )
| ( multiply(X4_13,inverse(X4_13)) != identity ) ),
inference(splitLeft,[status(thm)],[c_104993]) ).
tff(c_113651,plain,
! [X4_13] : ( inverse(X4_13) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_105274,c_105260,c_104971,c_104994]) ).
tff(c_104988,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104970,c_103908]) ).
tff(c_105009,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104988,c_4]) ).
tff(c_105016,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_105009,c_104023]) ).
tff(c_105028,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105016]) ).
tff(c_105032,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105028,c_104988]) ).
tff(c_113653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113651,c_105032]) ).
tff(c_113654,plain,
! [X2_11,X1_10,X8_12] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( inverse(X8_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X8_12,sk_c10)) != identity ) ),
inference(splitRight,[status(thm)],[c_104993]) ).
tff(c_185374,plain,
! [X2_11,X1_10,X8_12] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X8_12) != identity )
| ( identity != X8_12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113930,c_104971,c_2,c_104971,c_104971,c_104971,c_113930,c_104971,c_113930,c_104971,c_113654]) ).
tff(c_185376,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_185374]) ).
tff(c_113658,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104971,c_103866]) ).
tff(c_113697,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_113658,c_4]) ).
tff(c_113706,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_113697,c_104023]) ).
tff(c_113718,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_113706]) ).
tff(c_113722,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_113718,c_113658]) ).
tff(c_185378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_185376,c_113722]) ).
tff(c_185379,plain,
! [X1_10,X2_11] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_185374]) ).
tff(c_185381,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_185379]) ).
tff(c_185383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_185381,c_113722]) ).
tff(c_185386,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_185379]) ).
tff(c_185388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_185386,c_113722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP209-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:14:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 28.24/16.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.44/16.74
% 28.44/16.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 28.56/16.81
% 28.56/16.81 Inference rules
% 28.56/16.81 ----------------------
% 28.56/16.81 #Ref : 0
% 28.56/16.81 #Sup : 44238
% 28.56/16.81 #Fact : 0
% 28.56/16.81 #Define : 0
% 28.56/16.81 #Split : 54
% 28.56/16.81 #Chain : 0
% 28.56/16.81 #Close : 0
% 28.56/16.81
% 28.56/16.81 Ordering : KBO
% 28.56/16.81
% 28.56/16.81 Simplification rules
% 28.56/16.81 ----------------------
% 28.56/16.81 #Subsume : 13
% 28.56/16.81 #Demod : 135493
% 28.56/16.81 #Tautology : 35960
% 28.56/16.81 #SimpNegUnit : 105
% 28.56/16.81 #BackRed : 869
% 28.56/16.81
% 28.56/16.81 #Partial instantiations: 0
% 28.56/16.81 #Strategies tried : 1
% 28.56/16.81
% 28.56/16.81 Timing (in seconds)
% 28.56/16.81 ----------------------
% 28.56/16.81 Preprocessing : 0.54
% 28.56/16.81 Parsing : 0.21
% 28.56/16.81 CNF conversion : 0.03
% 28.56/16.81 Main loop : 15.10
% 28.56/16.81 Inferencing : 2.77
% 28.56/16.81 Reduction : 10.07
% 28.56/16.81 Demodulation : 9.47
% 28.56/16.81 BG Simplification : 0.21
% 28.56/16.81 Subsumption : 1.42
% 28.56/16.81 Abstraction : 0.60
% 28.56/16.81 MUC search : 0.00
% 28.56/16.81 Cooper : 0.00
% 28.56/16.81 Total : 15.79
% 28.56/16.81 Index Insertion : 0.00
% 28.56/16.81 Index Deletion : 0.00
% 28.56/16.81 Index Matching : 0.00
% 28.56/16.81 BG Taut test : 0.00
%------------------------------------------------------------------------------