TSTP Solution File: GRP312-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP312-1 : 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 : n028.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 10:40:52 EDT 2023
% Result : Unsatisfiable 19.55s 8.01s
% Output : CNFRefutation 20.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 71
% Syntax : Number of formulae : 1138 ( 921 unt; 15 typ; 0 def)
% Number of atoms : 1614 (1563 equ)
% Maximal formula atoms : 17 ( 1 avg)
% Number of connectives : 1052 ( 561 ~; 491 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 584 (; 584 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c12 > sk_c11 > 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_c11,type,
sk_c11: $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(sk_c12,type,
sk_c12: $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_239,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_269,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_323,axiom,
! [X5,X6,X3,X9,X7,X1,X2,X8,X4] :
( ( multiply(sk_c11,sk_c12) != sk_c10 )
| ( multiply(X4,sk_c12) != sk_c11 )
| ( inverse(X4) != sk_c12 )
| ( multiply(X5,sk_c11) != sk_c10 )
| ( inverse(X5) != sk_c11 )
| ( multiply(X6,sk_c11) != sk_c12 )
| ( inverse(X6) != sk_c11 )
| ( multiply(X1,sk_c12) != sk_c11 )
| ( inverse(X1) != sk_c12 )
| ( multiply(X2,sk_c11) != sk_c10 )
| ( inverse(X2) != sk_c11 )
| ( multiply(X7,X3) != sk_c12 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c11) != sk_c12 )
| ( inverse(X8) != X9 )
| ( inverse(X9) != X3 )
| ( multiply(X8,X3) != X9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_230,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c12) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_236,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ( multiply(sk_c3,sk_c11) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c11,sk_c12) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c2,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( inverse(sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c1) = sk_c12 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_254,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c5) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_266,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_263,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c9,sk_c11) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_245,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c4,sk_c12) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_248,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c4) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_260,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c6,sk_c9) = sk_c12 ) ),
file(unknown,unknown) ).
tff(f_251,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c5,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_272,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_44812,plain,
! [X_639,Y_640,Z_641] : ( multiply(multiply(X_639,Y_640),Z_641) = multiply(X_639,multiply(Y_640,Z_641)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44863,plain,
! [X_2,Z_641] : ( multiply(inverse(X_2),multiply(X_2,Z_641)) = multiply(identity,Z_641) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44812]) ).
tff(c_47599,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_44863]) ).
tff(c_44878,plain,
! [X_2,Z_641] : ( multiply(inverse(X_2),multiply(X_2,Z_641)) = Z_641 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44863]) ).
tff(c_48223,plain,
! [X_695,Z_696] : ( multiply(inverse(inverse(X_695)),Z_696) = multiply(X_695,Z_696) ),
inference(superposition,[status(thm),theory(equality)],[c_47599,c_44878]) ).
tff(c_47659,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47599]) ).
tff(c_48230,plain,
! [X_695] : ( multiply(X_695,identity) = X_695 ),
inference(superposition,[status(thm),theory(equality)],[c_48223,c_47659]) ).
tff(c_40926,plain,
! [X_574,Y_575,Z_576] : ( multiply(multiply(X_574,Y_575),Z_576) = multiply(X_574,multiply(Y_575,Z_576)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40974,plain,
! [X_2,Z_576] : ( multiply(inverse(X_2),multiply(X_2,Z_576)) = multiply(identity,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40926]) ).
tff(c_40988,plain,
! [X_2,Z_576] : ( multiply(inverse(X_2),multiply(X_2,Z_576)) = Z_576 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40974]) ).
tff(c_43932,plain,
! [X_626,Z_627] : ( multiply(inverse(X_626),multiply(X_626,Z_627)) = Z_627 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40974]) ).
tff(c_44209,plain,
! [X_629,Z_630] : ( multiply(inverse(inverse(X_629)),Z_630) = multiply(X_629,Z_630) ),
inference(superposition,[status(thm),theory(equality)],[c_40988,c_43932]) ).
tff(c_44001,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43932]) ).
tff(c_44216,plain,
! [X_629] : ( multiply(X_629,identity) = X_629 ),
inference(superposition,[status(thm),theory(equality)],[c_44209,c_44001]) ).
tff(c_36228,plain,
! [X_493,Y_494,Z_495] : ( multiply(multiply(X_493,Y_494),Z_495) = multiply(X_493,multiply(Y_494,Z_495)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36279,plain,
! [X_2,Z_495] : ( multiply(inverse(X_2),multiply(X_2,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36228]) ).
tff(c_36294,plain,
! [X_2,Z_495] : ( multiply(inverse(X_2),multiply(X_2,Z_495)) = Z_495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36279]) ).
tff(c_40143,plain,
! [X_560,Z_561] : ( multiply(inverse(X_560),multiply(X_560,Z_561)) = Z_561 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36279]) ).
tff(c_40422,plain,
! [X_564,Z_565] : ( multiply(inverse(inverse(X_564)),Z_565) = multiply(X_564,Z_565) ),
inference(superposition,[status(thm),theory(equality)],[c_36294,c_40143]) ).
tff(c_40185,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40143]) ).
tff(c_40429,plain,
! [X_564] : ( multiply(X_564,identity) = X_564 ),
inference(superposition,[status(thm),theory(equality)],[c_40422,c_40185]) ).
tff(c_124,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_213,plain,
multiply(sk_c3,sk_c11) = sk_c12,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_144,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_165,plain,
inverse(sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_144]) ).
tff(c_169,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_165,c_4]) ).
tff(c_25546,plain,
! [X_304,Y_305,Z_306] : ( multiply(multiply(X_304,Y_305),Z_306) = multiply(X_304,multiply(Y_305,Z_306)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25600,plain,
! [Z_306] : ( multiply(sk_c11,multiply(sk_c3,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_25546]) ).
tff(c_25647,plain,
! [Z_309] : ( multiply(sk_c11,multiply(sk_c3,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25600]) ).
tff(c_25659,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_213,c_25647]) ).
tff(c_44,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_219,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_179,plain,
inverse(sk_c1) = sk_c12,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_183,plain,
multiply(sk_c12,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179,c_4]) ).
tff(c_22677,plain,
! [X_260,Y_261,Z_262] : ( multiply(multiply(X_260,Y_261),Z_262) = multiply(X_260,multiply(Y_261,Z_262)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22731,plain,
! [Z_262] : ( multiply(sk_c12,multiply(sk_c1,Z_262)) = multiply(identity,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_183,c_22677]) ).
tff(c_22792,plain,
! [Z_265] : ( multiply(sk_c12,multiply(sk_c1,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22731]) ).
tff(c_22804,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_219,c_22792]) ).
tff(c_22737,plain,
! [X_2,Z_262] : ( multiply(inverse(X_2),multiply(X_2,Z_262)) = multiply(identity,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22677]) ).
tff(c_22927,plain,
! [X_270,Z_271] : ( multiply(inverse(X_270),multiply(X_270,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22737]) ).
tff(c_22969,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_22804,c_22927]) ).
tff(c_23067,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22969]) ).
tff(c_22734,plain,
! [Z_262] : ( multiply(sk_c11,multiply(sk_c3,Z_262)) = multiply(identity,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_22677]) ).
tff(c_22768,plain,
! [Z_264] : ( multiply(sk_c11,multiply(sk_c3,Z_264)) = Z_264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22734]) ).
tff(c_22780,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_213,c_22768]) ).
tff(c_284,plain,
! [X_17,Y_18,Z_19] : ( multiply(multiply(X_17,Y_18),Z_19) = multiply(X_17,multiply(Y_18,Z_19)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_320,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_284]) ).
tff(c_9374,plain,
! [X_127,Z_128] : ( multiply(inverse(X_127),multiply(X_127,Z_128)) = Z_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_331,plain,
! [X_2,Z_19] : ( multiply(inverse(X_2),multiply(X_2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_9710,plain,
! [X_132,Z_133] : ( multiply(inverse(inverse(X_132)),Z_133) = multiply(X_132,Z_133) ),
inference(superposition,[status(thm),theory(equality)],[c_9374,c_331]) ).
tff(c_9425,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9374]) ).
tff(c_9717,plain,
! [X_132] : ( multiply(X_132,identity) = X_132 ),
inference(superposition,[status(thm),theory(equality)],[c_9710,c_9425]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_224,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_317,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c3,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_284]) ).
tff(c_542,plain,
! [Z_26] : ( multiply(sk_c11,multiply(sk_c3,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_317]) ).
tff(c_554,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_213,c_542]) ).
tff(c_558,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_224,c_554]) ).
tff(c_564,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_224]) ).
tff(c_9398,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_564,c_9374]) ).
tff(c_9434,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9398]) ).
tff(c_314,plain,
! [Z_19] : ( multiply(sk_c12,multiply(sk_c1,Z_19)) = multiply(identity,Z_19) ),
inference(superposition,[status(thm),theory(equality)],[c_183,c_284]) ).
tff(c_519,plain,
! [Z_25] : ( multiply(sk_c12,multiply(sk_c1,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_314]) ).
tff(c_531,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_219,c_519]) ).
tff(c_560,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_531]) ).
tff(c_9469,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9434,c_2,c_9434,c_560]) ).
tff(c_639,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_320]) ).
tff(c_672,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_564,c_639]) ).
tff(c_703,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_672]) ).
tff(c_725,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_703,c_2,c_703,c_560]) ).
tff(c_104,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_195,plain,
inverse(sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_568,plain,
inverse(sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_195]) ).
tff(c_587,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_568,c_4]) ).
tff(c_736,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_725,c_587]) ).
tff(c_729,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_725,c_568]) ).
tff(c_755,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_736,c_729]) ).
tff(c_950,plain,
! [X_32,Z_33] : ( multiply(inverse(inverse(X_32)),Z_33) = multiply(X_32,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_639,c_331]) ).
tff(c_693,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_639]) ).
tff(c_961,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_950,c_693]) ).
tff(c_975,plain,
! [X_32] : ( multiply(X_32,inverse(X_32)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_950,c_4]) ).
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_1234,plain,
! [X_39,Y_40,Z_41] : ( multiply(inverse(multiply(X_39,Y_40)),multiply(X_39,multiply(Y_40,Z_41))) = Z_41 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_639]) ).
tff(c_1313,plain,
! [X_39,X_2] : ( multiply(inverse(multiply(X_39,inverse(X_2))),multiply(X_39,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1234]) ).
tff(c_1350,plain,
! [X_42,X_43] : ( multiply(inverse(multiply(X_42,inverse(X_43))),X_42) = X_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_961,c_1313]) ).
tff(c_968,plain,
! [X_32,Z_19] : ( multiply(X_32,multiply(inverse(X_32),Z_19)) = Z_19 ),
inference(superposition,[status(thm),theory(equality)],[c_950,c_331]) ).
tff(c_1370,plain,
! [X_42,X_43] : ( multiply(multiply(X_42,inverse(X_43)),X_43) = X_42 ),
inference(superposition,[status(thm),theory(equality)],[c_1350,c_968]) ).
tff(c_1002,plain,
! [X_34] : ( multiply(X_34,identity) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_950,c_693]) ).
tff(c_642,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_639,c_331]) ).
tff(c_1009,plain,
! [X_27] : ( inverse(inverse(X_27)) = multiply(X_27,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1002,c_642]) ).
tff(c_1062,plain,
! [X_27] : ( inverse(inverse(X_27)) = X_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_961,c_1009]) ).
tff(c_1282,plain,
! [X_39,X_32] : ( multiply(inverse(multiply(X_39,X_32)),multiply(X_39,identity)) = inverse(X_32) ),
inference(superposition,[status(thm),theory(equality)],[c_975,c_1234]) ).
tff(c_1605,plain,
! [X_48,X_49] : ( multiply(inverse(multiply(X_48,X_49)),X_48) = inverse(X_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_961,c_1282]) ).
tff(c_1338,plain,
! [X_39,X_32] : ( multiply(inverse(multiply(X_39,X_32)),X_39) = inverse(X_32) ),
inference(demodulation,[status(thm),theory(equality)],[c_961,c_1282]) ).
tff(c_1608,plain,
! [X_49,X_48] : ( multiply(inverse(inverse(X_49)),inverse(multiply(X_48,X_49))) = inverse(X_48) ),
inference(superposition,[status(thm),theory(equality)],[c_1605,c_1338]) ).
tff(c_1718,plain,
! [X_50,X_51] : ( multiply(X_50,inverse(multiply(X_51,X_50))) = inverse(X_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_1062,c_1608]) ).
tff(c_1775,plain,
! [X_42,X_43] : ( inverse(multiply(X_42,inverse(X_43))) = multiply(X_43,inverse(X_42)) ),
inference(superposition,[status(thm),theory(equality)],[c_1370,c_1718]) ).
tff(c_382,plain,
! [Z_22] : ( multiply(sk_c11,multiply(sk_c3,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_317]) ).
tff(c_394,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_213,c_382]) ).
tff(c_398,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_224,c_394]) ).
tff(c_429,plain,
multiply(sk_c1,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_398,c_219]) ).
tff(c_148,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( multiply(sk_c11,sk_c12) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_357,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224,c_148]) ).
tff(c_358,plain,
! [X4_14] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_357]) ).
tff(c_468,plain,
! [X4_14] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_358]) ).
tff(c_505,plain,
inverse(sk_c1) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_429,c_468]) ).
tff(c_517,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179,c_505]) ).
tff(c_518,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_357]) ).
tff(c_575,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_558,c_558,c_558,c_558,c_558,c_558,c_558,c_518]) ).
tff(c_576,plain,
! [X8_13,X7_10] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c10) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_575]) ).
tff(c_9241,plain,
! [X7_124,X8_125] :
( ( multiply(X7_124,inverse(X8_125)) != inverse(X7_124) )
| ( multiply(X8_125,inverse(X7_124)) != inverse(X8_125) )
| ( inverse(X7_124) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_975,c_703,c_961,c_725,c_703,c_1775,c_576]) ).
tff(c_9284,plain,
! [X8_125] :
( ( inverse(identity) != inverse(X8_125) )
| ( multiply(X8_125,inverse(identity)) != inverse(X8_125) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_9241]) ).
tff(c_9303,plain,
! [X8_126] :
( ( inverse(X8_126) != identity )
| ( inverse(X8_126) != X8_126 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_755,c_961,c_755,c_755,c_9284]) ).
tff(c_9311,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_755,c_9303]) ).
tff(c_9318,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_755,c_9311]) ).
tff(c_9319,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c10 )
| ( multiply(X2_12,sk_c10) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c12 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_575]) ).
tff(c_16737,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != identity )
| ( identity != X2_12 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9717,c_9469,c_9469,c_9469,c_9717,c_9469,c_9434,c_9469,c_9717,c_9469,c_9434,c_9434,c_9717,c_9469,c_9469,c_9469,c_9319]) ).
tff(c_16739,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_16737]) ).
tff(c_9442,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9434,c_179]) ).
tff(c_9453,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9442,c_4]) ).
tff(c_9541,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_9453,c_331]) ).
tff(c_9553,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9541]) ).
tff(c_9558,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9553,c_9442]) ).
tff(c_16741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16739,c_9558]) ).
tff(c_16742,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X2_12) != identity )
| ( identity != X2_12 ) ),
inference(splitRight,[status(thm)],[c_16737]) ).
tff(c_21915,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_16742]) ).
tff(c_21917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21915,c_9558]) ).
tff(c_21918,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != identity )
| ( identity != X1_11 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_16742]) ).
tff(c_21920,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_21918]) ).
tff(c_21922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21920,c_9558]) ).
tff(c_21925,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_21918]) ).
tff(c_21927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21925,c_9558]) ).
tff(c_21929,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_22784,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_22780,c_21929]) ).
tff(c_23088,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23067,c_22784]) ).
tff(c_21928,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22640,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_21929,c_12]) ).
tff(c_22996,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_22640,c_22927]) ).
tff(c_23071,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_21928,c_22996]) ).
tff(c_23241,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23067,c_2,c_23067,c_23071]) ).
tff(c_23242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23088,c_23241]) ).
tff(c_23244,plain,
multiply(sk_c1,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_38,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_24081,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_23244,c_38]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_24176,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_23244,c_36]) ).
tff(c_24187,plain,
! [X_284,Y_285,Z_286] : ( multiply(multiply(X_284,Y_285),Z_286) = multiply(X_284,multiply(Y_285,Z_286)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24247,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24187]) ).
tff(c_24340,plain,
! [X_289,Z_290] : ( multiply(inverse(X_289),multiply(X_289,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24247]) ).
tff(c_24361,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_24176,c_24340]) ).
tff(c_24404,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_24081,c_24361]) ).
tff(c_24263,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24247]) ).
tff(c_24451,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_24404,c_24263]) ).
tff(c_24457,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24451]) ).
tff(c_24464,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24457,c_179]) ).
tff(c_24475,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24464,c_4]) ).
tff(c_24549,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_24475,c_24263]) ).
tff(c_24561,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24549]) ).
tff(c_23245,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_24244,plain,
! [Z_286] : ( multiply(sk_c11,multiply(sk_c3,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_24187]) ).
tff(c_24278,plain,
! [Z_288] : ( multiply(sk_c11,multiply(sk_c3,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24244]) ).
tff(c_24290,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_213,c_24278]) ).
tff(c_24294,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23245,c_24290]) ).
tff(c_24303,plain,
multiply(sk_c1,sk_c12) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24294,c_23244]) ).
tff(c_24829,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24561,c_24457,c_24303]) ).
tff(c_23380,plain,
! [X_274,Y_275,Z_276] : ( multiply(multiply(X_274,Y_275),Z_276) = multiply(X_274,multiply(Y_275,Z_276)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23440,plain,
! [Z_276] : ( multiply(sk_c11,multiply(sk_c3,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_169,c_23380]) ).
tff(c_23497,plain,
! [Z_279] : ( multiply(sk_c11,multiply(sk_c3,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23440]) ).
tff(c_23509,plain,
multiply(sk_c11,sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_213,c_23497]) ).
tff(c_23513,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23245,c_23509]) ).
tff(c_23646,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23513,c_23245]) ).
tff(c_23443,plain,
! [X_2,Z_276] : ( multiply(inverse(X_2),multiply(X_2,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23380]) ).
tff(c_23738,plain,
! [X_281,Z_282] : ( multiply(inverse(X_281),multiply(X_281,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23443]) ).
tff(c_23777,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_23646,c_23738]) ).
tff(c_23842,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23777]) ).
tff(c_23856,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23842,c_179]) ).
tff(c_23867,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23856,c_4]) ).
tff(c_23459,plain,
! [X_2,Z_276] : ( multiply(inverse(X_2),multiply(X_2,Z_276)) = Z_276 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23443]) ).
tff(c_24041,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_23867,c_23459]) ).
tff(c_24053,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24041]) ).
tff(c_82,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_23263,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_199,plain,
multiply(sk_c11,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_195,c_4]) ).
tff(c_23434,plain,
! [Z_276] : ( multiply(sk_c11,multiply(sk_c2,Z_276)) = multiply(identity,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_23380]) ).
tff(c_23461,plain,
! [Z_277] : ( multiply(sk_c11,multiply(sk_c2,Z_277)) = Z_277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23434]) ).
tff(c_23473,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_23263,c_23461]) ).
tff(c_23637,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23513,c_23513,c_23473]) ).
tff(c_23952,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_23637,c_23459]) ).
tff(c_23958,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23952]) ).
tff(c_23645,plain,
multiply(sk_c1,sk_c12) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23513,c_23244]) ).
tff(c_24016,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23958,c_23842,c_23645]) ).
tff(c_24057,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24053,c_24016]) ).
tff(c_24062,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24057]) ).
tff(c_24064,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_24114,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_24064,c_70]) ).
tff(c_24118,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24114,c_4]) ).
tff(c_24461,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24457,c_24118]) ).
tff(c_24744,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_24461,c_24263]) ).
tff(c_24756,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24744]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_24148,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_23244,c_28]) ).
tff(c_24298,plain,
multiply(sk_c4,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24294,c_24148]) ).
tff(c_24845,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24756,c_24457,c_24298]) ).
tff(c_24846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24829,c_24845]) ).
tff(c_24848,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_25663,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25659,c_24848]) ).
tff(c_25603,plain,
! [X_2,Z_306] : ( multiply(inverse(X_2),multiply(X_2,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25546]) ).
tff(c_25778,plain,
! [X_313,Z_314] : ( multiply(inverse(X_313),multiply(X_313,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25603]) ).
tff(c_25817,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_25659,c_25778]) ).
tff(c_25909,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25817]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_25434,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_24848,c_10]) ).
tff(c_25534,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_23244,c_28]) ).
tff(c_25832,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_25534,c_25778]) ).
tff(c_25910,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_25434,c_25832]) ).
tff(c_26064,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25909,c_2,c_25909,c_25910]) ).
tff(c_25671,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( sk_c11 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25659,c_148]) ).
tff(c_25672,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_25671]) ).
tff(c_26066,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26064,c_25672]) ).
tff(c_24847,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_25503,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_24848,c_12]) ).
tff(c_25841,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_25503,c_25778]) ).
tff(c_25912,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_24847,c_25841]) ).
tff(c_26169,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26064,c_2,c_26064,c_25912]) ).
tff(c_26170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26066,c_26169]) ).
tff(c_26172,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_25671]) ).
tff(c_26208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25663,c_26172]) ).
tff(c_26210,plain,
multiply(sk_c3,sk_c11) != sk_c12,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_116,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_29944,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_26210,c_116]) ).
tff(c_118,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_29895,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_26210,c_118]) ).
tff(c_29899,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29895,c_4]) ).
tff(c_29984,plain,
! [X_377,Y_378,Z_379] : ( multiply(multiply(X_377,Y_378),Z_379) = multiply(X_377,multiply(Y_378,Z_379)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30014,plain,
! [Z_379] : ( multiply(sk_c9,multiply(sk_c6,Z_379)) = multiply(identity,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_29899,c_29984]) ).
tff(c_30108,plain,
! [Z_383] : ( multiply(sk_c9,multiply(sk_c6,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30014]) ).
tff(c_30120,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_29944,c_30108]) ).
tff(c_30041,plain,
! [X_2,Z_379] : ( multiply(inverse(X_2),multiply(X_2,Z_379)) = multiply(identity,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29984]) ).
tff(c_30227,plain,
! [X_387,Z_388] : ( multiply(inverse(X_387),multiply(X_387,Z_388)) = Z_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30041]) ).
tff(c_30266,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_30120,c_30227]) ).
tff(c_30362,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30266]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c1,sk_c12) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_26223,plain,
multiply(sk_c1,sk_c12) = sk_c11,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_30035,plain,
! [Z_379] : ( multiply(sk_c12,multiply(sk_c1,Z_379)) = multiply(identity,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_183,c_29984]) ).
tff(c_30072,plain,
! [Z_381] : ( multiply(sk_c12,multiply(sk_c1,Z_381)) = Z_381 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30035]) ).
tff(c_30084,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26223,c_30072]) ).
tff(c_30275,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_30084,c_30227]) ).
tff(c_30363,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30275]) ).
tff(c_110,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_26266,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_26210,c_110]) ).
tff(c_108,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_26340,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_26210,c_108]) ).
tff(c_122,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_26290,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26210,c_122]) ).
tff(c_120,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_26309,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_26210,c_120]) ).
tff(c_26294,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26290,c_4]) ).
tff(c_26352,plain,
! [X_319,Y_320,Z_321] : ( multiply(multiply(X_319,Y_320),Z_321) = multiply(X_319,multiply(Y_320,Z_321)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26385,plain,
! [Z_321] : ( multiply(sk_c7,multiply(sk_c8,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_26294,c_26352]) ).
tff(c_27728,plain,
! [Z_348] : ( multiply(sk_c7,multiply(sk_c8,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26385]) ).
tff(c_26209,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_26214,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26209,c_4]) ).
tff(c_26403,plain,
! [Z_321] : ( multiply(sk_c9,multiply(sk_c7,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_26214,c_26352]) ).
tff(c_26427,plain,
! [Z_321] : ( multiply(sk_c9,multiply(sk_c7,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26403]) ).
tff(c_28073,plain,
! [Z_354] : ( multiply(sk_c9,Z_354) = multiply(sk_c8,Z_354) ),
inference(superposition,[status(thm),theory(equality)],[c_27728,c_26427]) ).
tff(c_28124,plain,
multiply(sk_c8,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26309,c_28073]) ).
tff(c_114,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_26239,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_26210,c_114]) ).
tff(c_112,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_26326,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_26210,c_112]) ).
tff(c_26644,plain,
! [Z_331] : ( multiply(sk_c9,multiply(sk_c7,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26403]) ).
tff(c_26656,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26294,c_26644]) ).
tff(c_26692,plain,
! [Z_333] : ( multiply(sk_c7,multiply(sk_c8,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26385]) ).
tff(c_26850,plain,
! [Z_338] : ( multiply(sk_c9,Z_338) = multiply(sk_c8,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_26692,c_26427]) ).
tff(c_26898,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26656,c_26850]) ).
tff(c_26333,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_26210,c_116]) ).
tff(c_26254,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_26210,c_118]) ).
tff(c_26258,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26254,c_4]) ).
tff(c_26391,plain,
! [Z_321] : ( multiply(sk_c9,multiply(sk_c6,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_26258,c_26352]) ).
tff(c_26668,plain,
! [Z_332] : ( multiply(sk_c9,multiply(sk_c6,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26391]) ).
tff(c_26680,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_26333,c_26668]) ).
tff(c_26415,plain,
! [X_2,Z_321] : ( multiply(inverse(X_2),multiply(X_2,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26352]) ).
tff(c_27037,plain,
! [X_340,Z_341] : ( multiply(inverse(X_340),multiply(X_340,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26415]) ).
tff(c_27106,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26680,c_27037]) ).
tff(c_27239,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27106]) ).
tff(c_26862,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_26850,c_26680]) ).
tff(c_27350,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_27239,c_26862]) ).
tff(c_27356,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26898,c_27350]) ).
tff(c_26409,plain,
! [Z_321] : ( multiply(sk_c12,multiply(sk_c1,Z_321)) = multiply(identity,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_183,c_26352]) ).
tff(c_26456,plain,
! [Z_323] : ( multiply(sk_c12,multiply(sk_c1,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26409]) ).
tff(c_26468,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26223,c_26456]) ).
tff(c_27133,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_26468,c_27037]) ).
tff(c_27241,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27133]) ).
tff(c_26382,plain,
! [Z_321] : ( multiply(sk_c9,multiply(sk_c11,Z_321)) = multiply(sk_c12,Z_321) ),
inference(superposition,[status(thm),theory(equality)],[c_26309,c_26352]) ).
tff(c_27472,plain,
! [Z_344] : ( multiply(sk_c8,Z_344) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_27356,c_2,c_27239,c_2,c_27241,c_26382]) ).
tff(c_26907,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26258,c_26850]) ).
tff(c_27481,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27472,c_26907]) ).
tff(c_27469,plain,
! [Z_321] : ( multiply(sk_c8,Z_321) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_27356,c_2,c_27239,c_2,c_27241,c_26382]) ).
tff(c_27470,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27469,c_26898]) ).
tff(c_27370,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27356,c_26254]) ).
tff(c_27578,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27481,c_27470,c_27370]) ).
tff(c_27503,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27470,c_27356]) ).
tff(c_26228,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_26473,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26228,c_148]) ).
tff(c_26536,plain,
! [X4_327] :
( ( inverse(X4_327) != sk_c12 )
| ( multiply(X4_327,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_26473]) ).
tff(c_26543,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26340,c_26536]) ).
tff(c_26561,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26266,c_26543]) ).
tff(c_26562,plain,
! [X5_6,X2_12,X8_13,X7_10,X6_7,X1_11] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_26473]) ).
tff(c_26801,plain,
! [X8_336,X7_337] :
( ( inverse(multiply(X8_336,inverse(X7_337))) != inverse(X7_337) )
| ( multiply(X8_336,inverse(X7_337)) != inverse(X8_336) )
| ( multiply(inverse(X7_337),sk_c11) != sk_c12 )
| ( multiply(X7_337,inverse(X7_337)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_26562]) ).
tff(c_26810,plain,
! [X8_336] :
( ( inverse(multiply(X8_336,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_336,inverse(sk_c6)) != inverse(X8_336) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_26254,c_26801]) ).
tff(c_26832,plain,
! [X8_336] :
( ( inverse(multiply(X8_336,sk_c9)) != sk_c9 )
| ( multiply(X8_336,sk_c9) != inverse(X8_336) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26333,c_26254,c_26309,c_26254,c_26254,c_26254,c_26810]) ).
tff(c_27699,plain,
! [X8_347] :
( ( inverse(multiply(X8_347,identity)) != identity )
| ( multiply(X8_347,identity) != inverse(X8_347) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27503,c_27503,c_27503,c_26832]) ).
tff(c_27710,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27699]) ).
tff(c_27719,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27578,c_27578,c_4,c_27578,c_27710]) ).
tff(c_27720,plain,
! [X2_12,X1_11,X6_7,X5_6] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_26562]) ).
tff(c_28019,plain,
! [X5_353] :
( ( inverse(X5_353) != sk_c11 )
| ( multiply(X5_353,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_27720]) ).
tff(c_28042,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_26326,c_28019]) ).
tff(c_28063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26239,c_28042]) ).
tff(c_28064,plain,
! [X6_7,X1_11,X2_12] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_27720]) ).
tff(c_28372,plain,
! [X2_357] :
( ( inverse(X2_357) != sk_c11 )
| ( multiply(X2_357,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_28064]) ).
tff(c_28395,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_26326,c_28372]) ).
tff(c_28416,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26239,c_28395]) ).
tff(c_28417,plain,
! [X1_11,X6_7] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_28064]) ).
tff(c_28646,plain,
! [X6_360] :
( ( inverse(X6_360) != sk_c11 )
| ( multiply(X6_360,sk_c11) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_28417]) ).
tff(c_28649,plain,
inverse(sk_c8) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_28124,c_28646]) ).
tff(c_28685,plain,
sk_c7 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_26290,c_28649]) ).
tff(c_28679,plain,
( ( inverse(inverse(sk_c11)) != sk_c11 )
| ( sk_c12 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28646]) ).
tff(c_28714,plain,
sk_c12 != identity,
inference(splitLeft,[status(thm)],[c_28679]) ).
tff(c_28839,plain,
! [X_362,Z_363] : ( multiply(inverse(X_362),multiply(X_362,Z_363)) = Z_363 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26415]) ).
tff(c_28932,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26680,c_28839]) ).
tff(c_29050,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28932]) ).
tff(c_29052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28714,c_29050]) ).
tff(c_29054,plain,
sk_c12 = identity,
inference(splitRight,[status(thm)],[c_28679]) ).
tff(c_28431,plain,
! [Z_358] : ( multiply(sk_c9,multiply(sk_c11,Z_358)) = multiply(sk_c12,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_26309,c_26352]) ).
tff(c_28485,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_169,c_28431]) ).
tff(c_28498,plain,
multiply(sk_c12,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26656,c_28485]) ).
tff(c_29063,plain,
multiply(identity,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29054,c_28498]) ).
tff(c_29087,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29063]) ).
tff(c_29179,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29087,c_26290]) ).
tff(c_29180,plain,
sk_c7 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_165,c_29179]) ).
tff(c_29182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28685,c_29180]) ).
tff(c_29211,plain,
! [X1_365] :
( ( inverse(X1_365) != sk_c12 )
| ( multiply(X1_365,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_28417]) ).
tff(c_29228,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_26340,c_29211]) ).
tff(c_29248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26266,c_29228]) ).
tff(c_29250,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_30388,plain,
multiply(identity,sk_c12) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30363,c_29250]) ).
tff(c_30400,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30388]) ).
tff(c_30418,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30362,c_30400]) ).
tff(c_29249,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_29934,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_29250,c_12]) ).
tff(c_30299,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_29934,c_30227]) ).
tff(c_30367,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_29249,c_30299]) ).
tff(c_30615,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30363,c_2,c_30363,c_30367]) ).
tff(c_30616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30418,c_30615]) ).
tff(c_30618,plain,
multiply(sk_c1,sk_c12) != sk_c11,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_32377,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_30618,c_36]) ).
tff(c_126,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( multiply(sk_c3,sk_c11) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_30726,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26210,c_126]) ).
tff(c_30715,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_30618,c_36]) ).
tff(c_30670,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_30618,c_38]) ).
tff(c_30674,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30670,c_4]) ).
tff(c_30753,plain,
! [X_392,Y_393,Z_394] : ( multiply(multiply(X_392,Y_393),Z_394) = multiply(X_392,multiply(Y_393,Z_394)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30783,plain,
! [Z_394] : ( multiply(sk_c9,multiply(sk_c6,Z_394)) = multiply(identity,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_30674,c_30753]) ).
tff(c_31235,plain,
! [Z_410] : ( multiply(sk_c9,multiply(sk_c6,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30783]) ).
tff(c_31247,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_30715,c_31235]) ).
tff(c_31258,plain,
! [Z_411] : ( multiply(sk_c8,multiply(sk_c9,Z_411)) = multiply(sk_c7,Z_411) ),
inference(superposition,[status(thm),theory(equality)],[c_30726,c_30753]) ).
tff(c_31273,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_31247,c_31258]) ).
tff(c_31298,plain,
multiply(sk_c7,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30726,c_31273]) ).
tff(c_30801,plain,
! [Z_394] : ( multiply(sk_c9,multiply(sk_c7,Z_394)) = multiply(identity,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_26214,c_30753]) ).
tff(c_30825,plain,
! [Z_394] : ( multiply(sk_c9,multiply(sk_c7,Z_394)) = Z_394 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30801]) ).
tff(c_31314,plain,
multiply(sk_c9,sk_c7) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_31298,c_30825]) ).
tff(c_31320,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26214,c_31314]) ).
tff(c_31339,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31320,c_179]) ).
tff(c_31573,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31339,c_4]) ).
tff(c_30813,plain,
! [X_2,Z_394] : ( multiply(inverse(X_2),multiply(X_2,Z_394)) = multiply(identity,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30753]) ).
tff(c_30829,plain,
! [X_2,Z_394] : ( multiply(inverse(X_2),multiply(X_2,Z_394)) = Z_394 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30813]) ).
tff(c_31709,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_31573,c_30829]) ).
tff(c_31721,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31709]) ).
tff(c_30626,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_30720,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_26210,c_108]) ).
tff(c_30617,plain,
inverse(sk_c4) = sk_c12,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_30622,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30617,c_4]) ).
tff(c_30795,plain,
! [Z_394] : ( multiply(sk_c12,multiply(sk_c4,Z_394)) = multiply(identity,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_30622,c_30753]) ).
tff(c_31072,plain,
! [Z_406] : ( multiply(sk_c12,multiply(sk_c4,Z_406)) = Z_406 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30795]) ).
tff(c_31087,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_30720,c_31072]) ).
tff(c_30798,plain,
! [Z_394] : ( multiply(sk_c11,multiply(sk_c12,Z_394)) = multiply(sk_c10,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_30626,c_30753]) ).
tff(c_31141,plain,
multiply(sk_c11,sk_c12) = multiply(sk_c10,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_31087,c_30798]) ).
tff(c_31147,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30626,c_31141]) ).
tff(c_31369,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_30813]) ).
tff(c_31396,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_31147,c_31369]) ).
tff(c_31465,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31396]) ).
tff(c_31335,plain,
multiply(sk_c1,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_31320,c_30618]) ).
tff(c_31787,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31721,c_31465,c_31335]) ).
tff(c_31789,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c11,sk_c12) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_31807,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31789,c_18]) ).
tff(c_31811,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31807,c_4]) ).
tff(c_32413,plain,
! [X_428,Y_429,Z_430] : ( multiply(multiply(X_428,Y_429),Z_430) = multiply(X_428,multiply(Y_429,Z_430)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32446,plain,
! [Z_430] : ( multiply(sk_c9,multiply(sk_c6,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_31811,c_32413]) ).
tff(c_32612,plain,
! [Z_437] : ( multiply(sk_c9,multiply(sk_c6,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32446]) ).
tff(c_32624,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32377,c_32612]) ).
tff(c_32467,plain,
! [X_2,Z_430] : ( multiply(inverse(X_2),multiply(X_2,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32413]) ).
tff(c_32657,plain,
! [X_439,Z_440] : ( multiply(inverse(X_439),multiply(X_439,Z_440)) = Z_440 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32467]) ).
tff(c_32678,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_32624,c_32657]) ).
tff(c_32784,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32678]) ).
tff(c_68,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_31880,plain,
multiply(sk_c2,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_31922,plain,
! [X_416,Y_417,Z_418] : ( multiply(multiply(X_416,Y_417),Z_418) = multiply(X_416,multiply(Y_417,Z_418)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31970,plain,
! [Z_418] : ( multiply(sk_c11,multiply(sk_c2,Z_418)) = multiply(identity,Z_418) ),
inference(superposition,[status(thm),theory(equality)],[c_199,c_31922]) ).
tff(c_31997,plain,
! [Z_419] : ( multiply(sk_c11,multiply(sk_c2,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31970]) ).
tff(c_32009,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_31880,c_31997]) ).
tff(c_31979,plain,
! [X_2,Z_418] : ( multiply(inverse(X_2),multiply(X_2,Z_418)) = multiply(identity,Z_418) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31922]) ).
tff(c_32147,plain,
! [X_425,Z_426] : ( multiply(inverse(X_425),multiply(X_425,Z_426)) = Z_426 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31979]) ).
tff(c_32192,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32009,c_32147]) ).
tff(c_32280,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32192]) ).
tff(c_31995,plain,
! [X_2,Z_418] : ( multiply(inverse(X_2),multiply(X_2,Z_418)) = Z_418 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31979]) ).
tff(c_32062,plain,
! [Z_423] : ( multiply(sk_c2,multiply(sk_c11,Z_423)) = multiply(sk_c10,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_31880,c_31922]) ).
tff(c_32089,plain,
multiply(sk_c2,identity) = multiply(sk_c10,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_199,c_32062]) ).
tff(c_32092,plain,
multiply(sk_c2,identity) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_169,c_32062]) ).
tff(c_32122,plain,
multiply(sk_c10,sk_c3) = multiply(sk_c10,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_32089,c_32092]) ).
tff(c_32168,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c2)) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_32122,c_32147]) ).
tff(c_32274,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_31995,c_32168]) ).
tff(c_32294,plain,
multiply(sk_c2,sk_c11) != sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_32274,c_26210]) ).
tff(c_32298,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31880,c_32294]) ).
tff(c_32305,plain,
sk_c12 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32280,c_32298]) ).
tff(c_31896,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_30618,c_36]) ).
tff(c_32201,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31896,c_32147]) ).
tff(c_32281,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31807,c_32201]) ).
tff(c_32360,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_32281,c_31995]) ).
tff(c_32366,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32360]) ).
tff(c_32368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32305,c_32366]) ).
tff(c_32369,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_32720,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_32369,c_32657]) ).
tff(c_32790,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_30617,c_32720]) ).
tff(c_32895,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32784,c_2,c_32784,c_32790]) ).
tff(c_31873,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_31789,c_12]) ).
tff(c_31788,plain,
inverse(sk_c5) = sk_c11,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_31793,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31788,c_4]) ).
tff(c_32452,plain,
! [Z_430] : ( multiply(sk_c11,multiply(sk_c5,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_31793,c_32413]) ).
tff(c_32547,plain,
! [Z_435] : ( multiply(sk_c11,multiply(sk_c5,Z_435)) = Z_435 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32452]) ).
tff(c_32559,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_31873,c_32547]) ).
tff(c_32687,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32559,c_32657]) ).
tff(c_32786,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32687]) ).
tff(c_32809,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32784,c_31789]) ).
tff(c_33051,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32895,c_32786,c_32809]) ).
tff(c_33053,plain,
inverse(sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_96,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_33154,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_33053,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_33090,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33053,c_98]) ).
tff(c_33094,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33090,c_4]) ).
tff(c_33190,plain,
! [X_444,Y_445,Z_446] : ( multiply(multiply(X_444,Y_445),Z_446) = multiply(X_444,multiply(Y_445,Z_446)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33223,plain,
! [Z_446] : ( multiply(sk_c9,multiply(sk_c6,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_33094,c_33190]) ).
tff(c_33284,plain,
! [Z_449] : ( multiply(sk_c9,multiply(sk_c6,Z_449)) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33223]) ).
tff(c_33296,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33154,c_33284]) ).
tff(c_34824,plain,
! [Z_472] : ( multiply(sk_c6,multiply(sk_c9,Z_472)) = multiply(sk_c12,Z_472) ),
inference(superposition,[status(thm),theory(equality)],[c_33154,c_33190]) ).
tff(c_34842,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_33296,c_34824]) ).
tff(c_34858,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_33154,c_34842]) ).
tff(c_88,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_33117,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_33053,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_33102,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_33053,c_90]) ).
tff(c_33106,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33102,c_4]) ).
tff(c_33220,plain,
! [Z_446] : ( multiply(sk_c12,multiply(sk_c4,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_33106,c_33190]) ).
tff(c_34785,plain,
! [Z_470] : ( multiply(sk_c12,multiply(sk_c4,Z_470)) = Z_470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33220]) ).
tff(c_34797,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33117,c_34785]) ).
tff(c_100,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_33127,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_33053,c_100]) ).
tff(c_34848,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_33127,c_34824]) ).
tff(c_34859,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_34797,c_34848]) ).
tff(c_33250,plain,
! [Z_446] : ( multiply(sk_c9,multiply(sk_c6,Z_446)) = Z_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33223]) ).
tff(c_34874,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_34859,c_33250]) ).
tff(c_34888,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_34874,c_33296]) ).
tff(c_102,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_33066,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33053,c_102]) ).
tff(c_33070,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33066,c_4]) ).
tff(c_33052,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_33057,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33052,c_4]) ).
tff(c_33232,plain,
! [Z_446] : ( multiply(sk_c9,multiply(sk_c7,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_33057,c_33190]) ).
tff(c_34808,plain,
! [Z_471] : ( multiply(sk_c9,multiply(sk_c7,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33232]) ).
tff(c_34820,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33070,c_34808]) ).
tff(c_34866,plain,
! [Z_5] : ( multiply(sk_c9,multiply(identity,Z_5)) = multiply(sk_c8,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_34820,c_6]) ).
tff(c_34869,plain,
! [Z_5] : ( multiply(sk_c9,Z_5) = multiply(sk_c8,Z_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34866]) ).
tff(c_35705,plain,
! [Z_488] : ( multiply(sk_c8,Z_488) = multiply(sk_c12,Z_488) ),
inference(demodulation,[status(thm),theory(equality)],[c_34888,c_34869]) ).
tff(c_106,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_33143,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33053,c_106]) ).
tff(c_34906,plain,
multiply(sk_c8,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34888,c_33143]) ).
tff(c_35711,plain,
multiply(sk_c12,sk_c12) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35705,c_34906]) ).
tff(c_35722,plain,
sk_c7 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_34858,c_35711]) ).
tff(c_34911,plain,
inverse(sk_c7) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_34888,c_33052]) ).
tff(c_35729,plain,
inverse(sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_35722,c_34911]) ).
tff(c_35804,plain,
multiply(sk_c12,sk_c12) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35729,c_4]) ).
tff(c_35844,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35804,c_34858]) ).
tff(c_94,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_33078,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_33053,c_94]) ).
tff(c_92,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_33160,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33053,c_92]) ).
tff(c_33241,plain,
! [X_2,Z_446] : ( multiply(inverse(X_2),multiply(X_2,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33190]) ).
tff(c_33353,plain,
! [X_452,Z_453] : ( multiply(inverse(X_452),multiply(X_452,Z_453)) = Z_453 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33241]) ).
tff(c_33380,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33296,c_33353]) ).
tff(c_33461,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33380]) ).
tff(c_33407,plain,
multiply(inverse(sk_c4),sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33117,c_33353]) ).
tff(c_33465,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_33102,c_33407]) ).
tff(c_33609,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33461,c_2,c_33461,c_33465]) ).
tff(c_33395,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33160,c_33353]) ).
tff(c_33462,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33078,c_33395]) ).
tff(c_33256,plain,
! [X_2,Z_446] : ( multiply(inverse(X_2),multiply(X_2,Z_446)) = Z_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33241]) ).
tff(c_33548,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33462,c_33256]) ).
tff(c_33554,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33548]) ).
tff(c_33300,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_33473,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33461,c_33300]) ).
tff(c_34009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33609,c_33554,c_33473]) ).
tff(c_34011,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_35361,plain,
! [Z_483] : ( multiply(sk_c4,multiply(sk_c12,Z_483)) = multiply(sk_c11,Z_483) ),
inference(superposition,[status(thm),theory(equality)],[c_33117,c_33190]) ).
tff(c_35385,plain,
multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_34858,c_35361]) ).
tff(c_35404,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33117,c_34011,c_35385]) ).
tff(c_35417,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35404,c_33078]) ).
tff(c_35414,plain,
multiply(sk_c5,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35404,c_33160]) ).
tff(c_34066,plain,
! [Z_460] : ( multiply(sk_c6,multiply(sk_c9,Z_460)) = multiply(sk_c12,Z_460) ),
inference(superposition,[status(thm),theory(equality)],[c_33154,c_33190]) ).
tff(c_34084,plain,
multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12),
inference(superposition,[status(thm),theory(equality)],[c_33296,c_34066]) ).
tff(c_34100,plain,
multiply(sk_c12,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_33154,c_34084]) ).
tff(c_34255,plain,
! [X_463,Z_464] : ( multiply(inverse(X_463),multiply(X_463,Z_464)) = Z_464 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33241]) ).
tff(c_34294,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_34100,c_34255]) ).
tff(c_34363,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34294]) ).
tff(c_34027,plain,
! [Z_458] : ( multiply(sk_c12,multiply(sk_c4,Z_458)) = Z_458 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33220]) ).
tff(c_34039,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33117,c_34027]) ).
tff(c_34090,plain,
multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_33127,c_34066]) ).
tff(c_34101,plain,
multiply(sk_c6,sk_c12) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_34039,c_34090]) ).
tff(c_34116,plain,
multiply(sk_c9,sk_c12) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_34101,c_33250]) ).
tff(c_34130,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_34116,c_33296]) ).
tff(c_34050,plain,
! [Z_459] : ( multiply(sk_c9,multiply(sk_c7,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33232]) ).
tff(c_34062,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33070,c_34050]) ).
tff(c_34143,plain,
multiply(sk_c12,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34130,c_34062]) ).
tff(c_34151,plain,
inverse(sk_c6) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_34130,c_33090]) ).
tff(c_34152,plain,
multiply(sk_c12,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34130,c_33057]) ).
tff(c_34096,plain,
multiply(sk_c6,identity) = multiply(sk_c12,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_33057,c_34066]) ).
tff(c_34246,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34152,c_34096]) ).
tff(c_34273,plain,
multiply(inverse(sk_c6),identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34246,c_34255]) ).
tff(c_34361,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34143,c_34151,c_34273]) ).
tff(c_34148,plain,
multiply(sk_c8,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34130,c_33143]) ).
tff(c_34388,plain,
multiply(identity,sk_c12) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34361,c_34148]) ).
tff(c_34391,plain,
sk_c7 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34388]) ).
tff(c_34451,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34363,c_34391]) ).
tff(c_34390,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34361,c_33066]) ).
tff(c_34508,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34451,c_34390]) ).
tff(c_34300,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34039,c_34255]) ).
tff(c_34365,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34300]) ).
tff(c_34318,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33160,c_34255]) ).
tff(c_34366,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_33078,c_34318]) ).
tff(c_34591,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34365,c_2,c_34365,c_34366]) ).
tff(c_34010,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_34161,plain,
! [X8_461,X7_462] :
( ( inverse(multiply(X8_461,inverse(X7_462))) != inverse(X7_462) )
| ( multiply(X8_461,inverse(X7_462)) != inverse(X8_461) )
| ( multiply(inverse(X7_462),sk_c11) != sk_c12 )
| ( multiply(X7_462,inverse(X7_462)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_34010]) ).
tff(c_34168,plain,
! [X8_461] :
( ( inverse(multiply(X8_461,sk_c11)) != inverse(sk_c5) )
| ( multiply(X8_461,inverse(sk_c5)) != inverse(X8_461) )
| ( multiply(inverse(sk_c5),sk_c11) != sk_c12 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_33078,c_34161]) ).
tff(c_34184,plain,
! [X8_461] :
( ( inverse(multiply(X8_461,sk_c11)) != sk_c11 )
| ( multiply(X8_461,sk_c11) != inverse(X8_461) )
| ( multiply(sk_c11,sk_c11) != sk_c12 )
| ( sk_c12 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33160,c_33078,c_33078,c_33078,c_33078,c_34168]) ).
tff(c_34767,plain,
! [X8_469] :
( ( inverse(multiply(X8_469,identity)) != identity )
| ( multiply(X8_469,identity) != inverse(X8_469) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34591,c_34363,c_34363,c_34365,c_2,c_34365,c_34365,c_34365,c_34365,c_34184]) ).
tff(c_34775,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34767]) ).
tff(c_34783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34508,c_34508,c_4,c_34508,c_34775]) ).
tff(c_34784,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_34010]) ).
tff(c_34976,plain,
! [X4_473] :
( ( inverse(X4_473) != sk_c12 )
| ( multiply(X4_473,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_34784]) ).
tff(c_34995,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33117,c_34976]) ).
tff(c_35010,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33102,c_34995]) ).
tff(c_35011,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_34784]) ).
tff(c_35184,plain,
! [X2_478] :
( ( inverse(X2_478) != sk_c11 )
| ( multiply(X2_478,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_35011]) ).
tff(c_35198,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33160,c_35184]) ).
tff(c_35211,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33078,c_35198]) ).
tff(c_35212,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_35011]) ).
tff(c_35328,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_35212]) ).
tff(c_35441,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35404,c_35404,c_35328]) ).
tff(c_35495,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35414,c_35441]) ).
tff(c_35504,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35417,c_35495]) ).
tff(c_35505,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_35212]) ).
tff(c_35656,plain,
! [X1_487] :
( ( inverse(X1_487) != sk_c12 )
| ( multiply(X1_487,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_35505]) ).
tff(c_35673,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_33117,c_35656]) ).
tff(c_35689,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33102,c_35673]) ).
tff(c_35808,plain,
! [X6_490] :
( ( inverse(X6_490) != sk_c11 )
| ( multiply(X6_490,sk_c11) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_35505]) ).
tff(c_35822,plain,
( ( inverse(sk_c5) != sk_c11 )
| ( sk_c12 != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_33160,c_35808]) ).
tff(c_35835,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33078,c_35822]) ).
tff(c_35860,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35844,c_35835]) ).
tff(c_33082,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33078,c_4]) ).
tff(c_33226,plain,
! [Z_446] : ( multiply(sk_c11,multiply(sk_c5,Z_446)) = multiply(identity,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_33082,c_33190]) ).
tff(c_35277,plain,
! [Z_482] : ( multiply(sk_c11,multiply(sk_c5,Z_482)) = Z_482 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33226]) ).
tff(c_35295,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_33160,c_35277]) ).
tff(c_33205,plain,
! [Z_446] : ( multiply(sk_c5,multiply(sk_c11,Z_446)) = multiply(sk_c10,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_33160,c_33190]) ).
tff(c_35302,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_35295,c_33205]) ).
tff(c_35308,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33160,c_35302]) ).
tff(c_35988,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_33241]) ).
tff(c_36024,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35308,c_35988]) ).
tff(c_36071,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36024]) ).
tff(c_36073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35860,c_36071]) ).
tff(c_36075,plain,
inverse(sk_c1) != sk_c12,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_36191,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_36075,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_36140,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_36075,c_50]) ).
tff(c_36144,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36140,c_4]) ).
tff(c_36258,plain,
! [Z_495] : ( multiply(sk_c12,multiply(sk_c4,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_36144,c_36228]) ).
tff(c_36296,plain,
! [Z_496] : ( multiply(sk_c12,multiply(sk_c4,Z_496)) = Z_496 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36258]) ).
tff(c_36308,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_36191,c_36296]) ).
tff(c_36434,plain,
! [X_501,Z_502] : ( multiply(inverse(X_501),multiply(X_501,Z_502)) = Z_502 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36279]) ).
tff(c_36479,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36308,c_36434]) ).
tff(c_36557,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36479]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_36201,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36075,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_36110,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_36075,c_54]) ).
tff(c_36114,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36110,c_4]) ).
tff(c_36264,plain,
! [Z_495] : ( multiply(sk_c11,multiply(sk_c5,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_36114,c_36228]) ).
tff(c_36319,plain,
! [Z_497] : ( multiply(sk_c11,multiply(sk_c5,Z_497)) = Z_497 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36264]) ).
tff(c_36331,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36201,c_36319]) ).
tff(c_36473,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36331,c_36434]) ).
tff(c_36556,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36473]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_36182,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_36075,c_56]) ).
tff(c_36074,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_36079,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36074,c_4]) ).
tff(c_36273,plain,
! [Z_495] : ( multiply(sk_c9,multiply(sk_c6,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_36079,c_36228]) ).
tff(c_36343,plain,
! [Z_498] : ( multiply(sk_c9,multiply(sk_c6,Z_498)) = Z_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36273]) ).
tff(c_36355,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36182,c_36343]) ).
tff(c_36464,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_36355,c_36434]) ).
tff(c_36554,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36464]) ).
tff(c_36335,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_36569,plain,
multiply(sk_c11,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36554,c_36335]) ).
tff(c_36992,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36557,c_36556,c_36569]) ).
tff(c_36994,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_38390,plain,
! [Z_532] : ( multiply(sk_c11,multiply(sk_c12,Z_532)) = multiply(sk_c10,Z_532) ),
inference(superposition,[status(thm),theory(equality)],[c_36994,c_6]) ).
tff(c_38417,plain,
multiply(sk_c11,sk_c12) = multiply(sk_c10,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_36308,c_38390]) ).
tff(c_38428,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36994,c_38417]) ).
tff(c_40167,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_38428,c_40143]) ).
tff(c_40194,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40167]) ).
tff(c_39270,plain,
! [X_541,Z_542] : ( multiply(inverse(X_541),multiply(X_541,Z_542)) = Z_542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36279]) ).
tff(c_39462,plain,
! [X_544,Z_545] : ( multiply(inverse(inverse(X_544)),Z_545) = multiply(X_544,Z_545) ),
inference(superposition,[status(thm),theory(equality)],[c_39270,c_36294]) ).
tff(c_39315,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39270]) ).
tff(c_39469,plain,
! [X_544] : ( multiply(X_544,identity) = X_544 ),
inference(superposition,[status(thm),theory(equality)],[c_39462,c_39315]) ).
tff(c_39297,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_38428,c_39270]) ).
tff(c_39323,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39297]) ).
tff(c_62,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_36102,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36075,c_62]) ).
tff(c_36106,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36102,c_4]) ).
tff(c_66,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_36174,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36075,c_66]) ).
tff(c_36267,plain,
! [Z_495] : ( multiply(sk_c7,multiply(sk_c8,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_36106,c_36228]) ).
tff(c_37046,plain,
! [Z_508] : ( multiply(sk_c7,multiply(sk_c8,Z_508)) = Z_508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36267]) ).
tff(c_37061,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36174,c_37046]) ).
tff(c_64,plain,
( ( inverse(sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_36089,plain,
inverse(sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36075,c_64]) ).
tff(c_36093,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36089,c_4]) ).
tff(c_36270,plain,
! [Z_495] : ( multiply(sk_c9,multiply(sk_c7,Z_495)) = multiply(identity,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_36093,c_36228]) ).
tff(c_36291,plain,
! [Z_495] : ( multiply(sk_c9,multiply(sk_c7,Z_495)) = Z_495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36270]) ).
tff(c_38315,plain,
! [Z_531] : ( multiply(sk_c9,Z_531) = multiply(sk_c8,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_37046,c_36291]) ).
tff(c_37009,plain,
! [Z_506] : ( multiply(sk_c9,multiply(sk_c7,Z_506)) = Z_506 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36270]) ).
tff(c_37021,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36106,c_37009]) ).
tff(c_38336,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38315,c_37021]) ).
tff(c_38381,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36093,c_38315]) ).
tff(c_37052,plain,
! [Z_508] : ( multiply(sk_c9,Z_508) = multiply(sk_c8,Z_508) ),
inference(superposition,[status(thm),theory(equality)],[c_37046,c_36291]) ).
tff(c_36252,plain,
! [Z_495] : ( multiply(sk_c8,multiply(sk_c9,Z_495)) = multiply(sk_c7,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_36174,c_36228]) ).
tff(c_38641,plain,
! [Z_535] : ( multiply(sk_c8,multiply(sk_c8,Z_535)) = multiply(sk_c7,Z_535) ),
inference(demodulation,[status(thm),theory(equality)],[c_37052,c_36252]) ).
tff(c_38668,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_38381,c_38641]) ).
tff(c_38685,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37061,c_38336,c_38668]) ).
tff(c_37997,plain,
! [Z_524] : ( multiply(sk_c9,multiply(sk_c6,Z_524)) = Z_524 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36273]) ).
tff(c_38009,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36182,c_37997]) ).
tff(c_38324,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38315,c_38009]) ).
tff(c_38736,plain,
multiply(sk_c8,sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38685,c_38324]) ).
tff(c_36290,plain,
! [Z_495] : ( multiply(sk_c7,multiply(sk_c8,Z_495)) = Z_495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36267]) ).
tff(c_38743,plain,
multiply(sk_c7,sk_c8) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_38736,c_36290]) ).
tff(c_38749,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36106,c_38743]) ).
tff(c_36128,plain,
inverse(sk_c2) = sk_c11,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_36132,plain,
multiply(sk_c11,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36128,c_4]) ).
tff(c_60,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c1) = sk_c12 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_36165,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_36075,c_60]) ).
tff(c_38013,plain,
! [Z_525] : ( multiply(sk_c9,multiply(sk_c11,Z_525)) = multiply(sk_c12,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_36165,c_36228]) ).
tff(c_38037,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_36132,c_38013]) ).
tff(c_38048,plain,
multiply(sk_c12,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37021,c_38037]) ).
tff(c_38756,plain,
multiply(identity,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38749,c_38048]) ).
tff(c_38768,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38756]) ).
tff(c_38043,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_169,c_38013]) ).
tff(c_38050,plain,
multiply(sk_c12,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37021,c_38043]) ).
tff(c_38757,plain,
multiply(identity,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38749,c_38050]) ).
tff(c_38769,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38757]) ).
tff(c_38824,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_38768,c_38769]) ).
tff(c_38784,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38769,c_36102]) ).
tff(c_38785,plain,
sk_c7 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_165,c_38784]) ).
tff(c_38702,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38685,c_36089]) ).
tff(c_38776,plain,
inverse(sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_38769,c_38702]) ).
tff(c_38909,plain,
inverse(sk_c11) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_38824,c_38785,c_38776]) ).
tff(c_38913,plain,
multiply(sk_c2,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38909,c_4]) ).
tff(c_37083,plain,
! [Z_509] : ( multiply(sk_c9,multiply(sk_c6,Z_509)) = Z_509 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36273]) ).
tff(c_37095,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36182,c_37083]) ).
tff(c_37406,plain,
! [X_516,Z_517] : ( multiply(inverse(X_516),multiply(X_516,Z_517)) = Z_517 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36279]) ).
tff(c_37463,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_37095,c_37406]) ).
tff(c_37578,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37463]) ).
tff(c_37099,plain,
! [Z_510] : ( multiply(sk_c9,multiply(sk_c11,Z_510)) = multiply(sk_c12,Z_510) ),
inference(superposition,[status(thm),theory(equality)],[c_36165,c_36228]) ).
tff(c_37123,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_36132,c_37099]) ).
tff(c_37134,plain,
multiply(sk_c12,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37021,c_37123]) ).
tff(c_37601,plain,
multiply(identity,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37578,c_37134]) ).
tff(c_37618,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37601]) ).
tff(c_37129,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_169,c_37099]) ).
tff(c_37136,plain,
multiply(sk_c12,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37021,c_37129]) ).
tff(c_37602,plain,
multiply(identity,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37578,c_37136]) ).
tff(c_37619,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37602]) ).
tff(c_37748,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_37618,c_37619]) ).
tff(c_37126,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_36114,c_37099]) ).
tff(c_37135,plain,
multiply(sk_c12,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37021,c_37126]) ).
tff(c_37603,plain,
multiply(identity,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37578,c_37135]) ).
tff(c_37620,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37603]) ).
tff(c_37712,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37619,c_37620]) ).
tff(c_37770,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_37748,c_37712]) ).
tff(c_37499,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36308,c_37406]) ).
tff(c_37582,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37499]) ).
tff(c_37639,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37582,c_36110]) ).
tff(c_37815,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37770,c_37639]) ).
tff(c_37565,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37406]) ).
tff(c_37819,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_37815,c_37565]) ).
tff(c_37828,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37819]) ).
tff(c_37834,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37828,c_37748]) ).
tff(c_37641,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37582,c_165]) ).
tff(c_37896,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37834,c_37641]) ).
tff(c_37604,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_37578,c_37095]) ).
tff(c_37621,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37021,c_37604]) ).
tff(c_37701,plain,
sk_c9 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_37620,c_37621]) ).
tff(c_37739,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37712,c_37701]) ).
tff(c_37769,plain,
sk_c9 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_37748,c_37739]) ).
tff(c_37833,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37828,c_37769]) ).
tff(c_36993,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_37172,plain,
! [X8_511,X7_512] :
( ( inverse(multiply(X8_511,inverse(X7_512))) != inverse(X7_512) )
| ( multiply(X8_511,inverse(X7_512)) != inverse(X8_511) )
| ( multiply(inverse(X7_512),sk_c11) != sk_c12 )
| ( multiply(X7_512,inverse(X7_512)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_36993]) ).
tff(c_37187,plain,
! [X8_511] :
( ( inverse(multiply(X8_511,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_511,inverse(sk_c6)) != inverse(X8_511) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_36074,c_37172]) ).
tff(c_37205,plain,
! [X8_511] :
( ( inverse(multiply(X8_511,sk_c9)) != sk_c9 )
| ( multiply(X8_511,sk_c9) != inverse(X8_511) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36182,c_36074,c_36165,c_36074,c_36074,c_36074,c_37187]) ).
tff(c_37958,plain,
! [X8_523] :
( ( inverse(multiply(X8_523,identity)) != identity )
| ( multiply(X8_523,identity) != inverse(X8_523) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37833,c_37833,c_37833,c_37205]) ).
tff(c_37969,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37958]) ).
tff(c_37978,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37896,c_37896,c_4,c_37896,c_37969]) ).
tff(c_37979,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_36993]) ).
tff(c_38260,plain,
! [X4_529] :
( ( inverse(X4_529) != sk_c12 )
| ( multiply(X4_529,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_37979]) ).
tff(c_38277,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_36191,c_38260]) ).
tff(c_38289,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36140,c_38277]) ).
tff(c_38290,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_37979]) ).
tff(c_38585,plain,
! [X2_534] :
( ( inverse(X2_534) != sk_c11 )
| ( multiply(X2_534,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_38290]) ).
tff(c_38601,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36201,c_38585]) ).
tff(c_38615,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36110,c_38601]) ).
tff(c_38616,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_38290]) ).
tff(c_38751,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_38616]) ).
tff(c_38941,plain,
( ( inverse(sk_c2) != sk_c11 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_38913,c_38751]) ).
tff(c_38951,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36128,c_38941]) ).
tff(c_38028,plain,
multiply(sk_c9,sk_c11) = multiply(sk_c12,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_36331,c_38013]) ).
tff(c_38047,plain,
multiply(sk_c12,sk_c10) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_36165,c_38028]) ).
tff(c_38405,plain,
multiply(sk_c11,sk_c12) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_38047,c_38390]) ).
tff(c_38427,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36994,c_38405]) ).
tff(c_39043,plain,
! [X_538,Z_539] : ( multiply(inverse(X_538),multiply(X_538,Z_539)) = Z_539 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36279]) ).
tff(c_39067,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_38427,c_39043]) ).
tff(c_39112,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39067]) ).
tff(c_39114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38951,c_39112]) ).
tff(c_39115,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_38616]) ).
tff(c_39209,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != identity )
| ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38749,c_38749,c_38749,c_39115]) ).
tff(c_39210,plain,
! [X1_11] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_39209]) ).
tff(c_40128,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_39469,c_39323,c_39210]) ).
tff(c_39128,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38749,c_36140]) ).
tff(c_39218,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39128,c_4]) ).
tff(c_39228,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_39218,c_2]) ).
tff(c_39237,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39228,c_39128]) ).
tff(c_40130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40128,c_39237]) ).
tff(c_40131,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_39209]) ).
tff(c_40826,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40429,c_40194,c_40194,c_40131]) ).
tff(c_40139,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39128,c_4]) ).
tff(c_40220,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40139,c_36294]) ).
tff(c_40232,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40220]) ).
tff(c_40236,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40232,c_39128]) ).
tff(c_40828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40826,c_40236]) ).
tff(c_40830,plain,
inverse(sk_c2) != sk_c11,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_40848,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_40830,c_88]) ).
tff(c_40829,plain,
inverse(sk_c4) = sk_c12,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_40834,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40829,c_4]) ).
tff(c_40956,plain,
! [Z_576] : ( multiply(sk_c12,multiply(sk_c4,Z_576)) = multiply(identity,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_40834,c_40926]) ).
tff(c_40990,plain,
! [Z_577] : ( multiply(sk_c12,multiply(sk_c4,Z_577)) = Z_577 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40956]) ).
tff(c_41002,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_40848,c_40990]) ).
tff(c_42297,plain,
! [Z_601] : ( multiply(sk_c4,multiply(sk_c12,Z_601)) = multiply(sk_c11,Z_601) ),
inference(superposition,[status(thm),theory(equality)],[c_40848,c_40926]) ).
tff(c_42312,plain,
multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_41002,c_42297]) ).
tff(c_42322,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_40848,c_42312]) ).
tff(c_43974,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_42322,c_43932]) ).
tff(c_44013,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43974]) ).
tff(c_43160,plain,
! [X_612,Z_613] : ( multiply(inverse(X_612),multiply(X_612,Z_613)) = Z_613 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40974]) ).
tff(c_43434,plain,
! [X_615,Z_616] : ( multiply(inverse(inverse(X_615)),Z_616) = multiply(X_615,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_40988,c_43160]) ).
tff(c_43220,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43160]) ).
tff(c_43441,plain,
! [X_615] : ( multiply(X_615,identity) = X_615 ),
inference(superposition,[status(thm),theory(equality)],[c_43434,c_43220]) ).
tff(c_43193,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_42322,c_43160]) ).
tff(c_43230,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43193]) ).
tff(c_40876,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36075,c_66]) ).
tff(c_40962,plain,
! [Z_576] : ( multiply(sk_c7,multiply(sk_c8,Z_576)) = multiply(identity,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_36106,c_40926]) ).
tff(c_41013,plain,
! [Z_578] : ( multiply(sk_c7,multiply(sk_c8,Z_578)) = Z_578 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40962]) ).
tff(c_41025,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_40876,c_41013]) ).
tff(c_40984,plain,
! [Z_576] : ( multiply(sk_c7,multiply(sk_c8,Z_576)) = Z_576 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40962]) ).
tff(c_40965,plain,
! [Z_576] : ( multiply(sk_c9,multiply(sk_c7,Z_576)) = multiply(identity,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_36093,c_40926]) ).
tff(c_42260,plain,
! [Z_600] : ( multiply(sk_c9,multiply(sk_c7,Z_600)) = Z_600 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40965]) ).
tff(c_42354,plain,
! [Z_603] : ( multiply(sk_c9,Z_603) = multiply(sk_c8,Z_603) ),
inference(superposition,[status(thm),theory(equality)],[c_40984,c_42260]) ).
tff(c_42278,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36106,c_42260]) ).
tff(c_42363,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42354,c_42278]) ).
tff(c_42408,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36093,c_42354]) ).
tff(c_42275,plain,
! [Z_576] : ( multiply(sk_c9,Z_576) = multiply(sk_c8,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_40984,c_42260]) ).
tff(c_40944,plain,
! [Z_576] : ( multiply(sk_c8,multiply(sk_c9,Z_576)) = multiply(sk_c7,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_40876,c_40926]) ).
tff(c_42606,plain,
! [Z_576] : ( multiply(sk_c8,multiply(sk_c8,Z_576)) = multiply(sk_c7,Z_576) ),
inference(demodulation,[status(thm),theory(equality)],[c_42275,c_40944]) ).
tff(c_42663,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_42408,c_42606]) ).
tff(c_42672,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41025,c_42363,c_42663]) ).
tff(c_40884,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_36075,c_56]) ).
tff(c_40968,plain,
! [Z_576] : ( multiply(sk_c9,multiply(sk_c6,Z_576)) = multiply(identity,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_36079,c_40926]) ).
tff(c_41449,plain,
! [Z_586] : ( multiply(sk_c9,multiply(sk_c6,Z_586)) = Z_586 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40968]) ).
tff(c_41461,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_40884,c_41449]) ).
tff(c_42369,plain,
multiply(sk_c8,sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_42354,c_41461]) ).
tff(c_42675,plain,
multiply(sk_c8,sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_42672,c_42369]) ).
tff(c_43000,plain,
multiply(sk_c7,sk_c8) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_42675,c_40984]) ).
tff(c_43007,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36106,c_43000]) ).
tff(c_40865,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_40830,c_92]) ).
tff(c_41825,plain,
! [X_595,Z_596] : ( multiply(inverse(X_595),multiply(X_595,Z_596)) = Z_596 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40974]) ).
tff(c_41885,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_41002,c_41825]) ).
tff(c_41940,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41885]) ).
tff(c_41966,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41940,c_36110]) ).
tff(c_42012,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41966,c_4]) ).
tff(c_42073,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_42012,c_40988]) ).
tff(c_42085,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42073]) ).
tff(c_42089,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42085,c_41966]) ).
tff(c_40959,plain,
! [Z_576] : ( multiply(sk_c11,multiply(sk_c5,Z_576)) = multiply(identity,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_36114,c_40926]) ).
tff(c_41472,plain,
! [Z_587] : ( multiply(sk_c11,multiply(sk_c5,Z_587)) = Z_587 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40959]) ).
tff(c_41484,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40865,c_41472]) ).
tff(c_41873,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_41484,c_41825]) ).
tff(c_41938,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41873]) ).
tff(c_41145,plain,
! [X_582,Z_583] : ( multiply(inverse(X_582),multiply(X_582,Z_583)) = Z_583 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40974]) ).
tff(c_41190,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_41002,c_41145]) ).
tff(c_41262,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41190]) ).
tff(c_41205,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40865,c_41145]) ).
tff(c_41265,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36110,c_41205]) ).
tff(c_41411,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41262,c_2,c_41262,c_41265]) ).
tff(c_41029,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_41273,plain,
multiply(identity,sk_c12) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_41262,c_41029]) ).
tff(c_41283,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41273]) ).
tff(c_41412,plain,
sk_c12 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41411,c_41283]) ).
tff(c_41095,plain,
! [Z_581] : ( multiply(sk_c9,multiply(sk_c7,Z_581)) = Z_581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40965]) ).
tff(c_41119,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36106,c_41095]) ).
tff(c_41050,plain,
! [Z_580] : ( multiply(sk_c8,multiply(sk_c9,Z_580)) = multiply(sk_c7,Z_580) ),
inference(superposition,[status(thm),theory(equality)],[c_40876,c_40926]) ).
tff(c_41068,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_36093,c_41050]) ).
tff(c_41075,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_41025,c_41068]) ).
tff(c_41079,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41075,c_40984]) ).
tff(c_41172,plain,
multiply(inverse(sk_c7),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_41079,c_41145]) ).
tff(c_41257,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41119,c_36089,c_41172]) ).
tff(c_41199,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_40884,c_41145]) ).
tff(c_41263,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_36074,c_41199]) ).
tff(c_41417,plain,
multiply(sk_c8,sk_c12) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41257,c_41257,c_41263]) ).
tff(c_41421,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_41417,c_40988]) ).
tff(c_41430,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36106,c_36102,c_41421]) ).
tff(c_41432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41412,c_41430]) ).
tff(c_41434,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_41949,plain,
multiply(sk_c11,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41938,c_41434]) ).
tff(c_42049,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41940,c_41949]) ).
tff(c_41496,plain,
! [Z_588] : ( multiply(sk_c9,multiply(sk_c7,Z_588)) = Z_588 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40965]) ).
tff(c_41590,plain,
! [Z_591] : ( multiply(sk_c9,Z_591) = multiply(sk_c8,Z_591) ),
inference(superposition,[status(thm),theory(equality)],[c_40984,c_41496]) ).
tff(c_41514,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36106,c_41496]) ).
tff(c_41599,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41590,c_41514]) ).
tff(c_41644,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36093,c_41590]) ).
tff(c_41511,plain,
! [Z_576] : ( multiply(sk_c9,Z_576) = multiply(sk_c8,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_40984,c_41496]) ).
tff(c_41725,plain,
! [Z_576] : ( multiply(sk_c8,multiply(sk_c8,Z_576)) = multiply(sk_c7,Z_576) ),
inference(demodulation,[status(thm),theory(equality)],[c_41511,c_40944]) ).
tff(c_41767,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_41644,c_41725]) ).
tff(c_41776,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41599,c_41025,c_41767]) ).
tff(c_40858,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_40830,c_100]) ).
tff(c_40950,plain,
! [Z_576] : ( multiply(sk_c9,multiply(sk_c11,Z_576)) = multiply(sk_c12,Z_576) ),
inference(superposition,[status(thm),theory(equality)],[c_40858,c_40926]) ).
tff(c_42109,plain,
! [Z_576] : ( multiply(sk_c8,Z_576) = Z_576 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42049,c_2,c_41940,c_41776,c_40950]) ).
tff(c_42111,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42109,c_41599]) ).
tff(c_42146,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42111,c_41776]) ).
tff(c_41433,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_41665,plain,
! [X8_592,X7_593] :
( ( inverse(multiply(X8_592,inverse(X7_593))) != inverse(X7_593) )
| ( multiply(X8_592,inverse(X7_593)) != inverse(X8_592) )
| ( multiply(inverse(X7_593),sk_c11) != sk_c12 )
| ( multiply(X7_593,inverse(X7_593)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_41433]) ).
tff(c_41681,plain,
! [X8_592] :
( ( inverse(multiply(X8_592,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_592,inverse(sk_c6)) != inverse(X8_592) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_36074,c_41665]) ).
tff(c_41699,plain,
! [X8_592] :
( ( inverse(multiply(X8_592,sk_c9)) != sk_c9 )
| ( multiply(X8_592,sk_c9) != inverse(X8_592) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40884,c_36074,c_40858,c_36074,c_36074,c_36074,c_41681]) ).
tff(c_42242,plain,
! [X8_599] :
( ( inverse(multiply(X8_599,identity)) != identity )
| ( multiply(X8_599,identity) != inverse(X8_599) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42146,c_42146,c_42146,c_41699]) ).
tff(c_42250,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42242]) ).
tff(c_42258,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42089,c_42089,c_4,c_42089,c_42250]) ).
tff(c_42259,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_41433]) ).
tff(c_42560,plain,
! [X4_605] :
( ( inverse(X4_605) != sk_c12 )
| ( multiply(X4_605,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_42259]) ).
tff(c_42570,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_40848,c_42560]) ).
tff(c_42582,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40829,c_42570]) ).
tff(c_42583,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_42259]) ).
tff(c_42779,plain,
! [X2_608] :
( ( inverse(X2_608) != sk_c11 )
| ( multiply(X2_608,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_42583]) ).
tff(c_42798,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40865,c_42779]) ).
tff(c_42812,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36110,c_42798]) ).
tff(c_42813,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_42583]) ).
tff(c_42963,plain,
! [X5_610] :
( ( inverse(X5_610) != sk_c11 )
| ( multiply(X5_610,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_42813]) ).
tff(c_42976,plain,
inverse(sk_c5) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_40865,c_42963]) ).
tff(c_42989,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36110,c_42976]) ).
tff(c_42990,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_42813]) ).
tff(c_43075,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != identity )
| ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43007,c_43007,c_43007,c_42990]) ).
tff(c_43076,plain,
! [X1_11] :
( ( inverse(X1_11) != identity )
| ( multiply(X1_11,identity) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_43075]) ).
tff(c_43845,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_43441,c_43230,c_43076]) ).
tff(c_43019,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43007,c_40829]) ).
tff(c_43032,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43019,c_4]) ).
tff(c_43042,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_43032,c_2]) ).
tff(c_43051,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43042,c_43019]) ).
tff(c_43847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43845,c_43051]) ).
tff(c_43848,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_43075]) ).
tff(c_44631,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44216,c_44013,c_44013,c_43848]) ).
tff(c_44633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44631,c_43051]) ).
tff(c_44635,plain,
inverse(sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_134,plain,
( ( inverse(sk_c5) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_44669,plain,
inverse(sk_c5) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_44635,c_134]) ).
tff(c_44673,plain,
multiply(sk_c11,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44669,c_4]) ).
tff(c_142,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_44636,plain,
inverse(sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_142]) ).
tff(c_44644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44635,c_44636]) ).
tff(c_44645,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_142]) ).
tff(c_44657,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44645,c_4]) ).
tff(c_44634,plain,
inverse(sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_44650,plain,
multiply(sk_c9,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44634,c_4]) ).
tff(c_44860,plain,
! [Z_641] : ( multiply(sk_c9,multiply(sk_c7,Z_641)) = multiply(identity,Z_641) ),
inference(superposition,[status(thm),theory(equality)],[c_44650,c_44812]) ).
tff(c_46293,plain,
! [Z_665] : ( multiply(sk_c9,multiply(sk_c7,Z_665)) = Z_665 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44860]) ).
tff(c_46305,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44657,c_46293]) ).
tff(c_140,plain,
( ( multiply(sk_c9,sk_c11) = sk_c12 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_44764,plain,
multiply(sk_c9,sk_c11) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_44635,c_140]) ).
tff(c_46241,plain,
! [Z_664] : ( multiply(sk_c9,multiply(sk_c11,Z_664)) = multiply(sk_c12,Z_664) ),
inference(superposition,[status(thm),theory(equality)],[c_44764,c_44812]) ).
tff(c_46265,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_44673,c_46241]) ).
tff(c_46309,plain,
multiply(sk_c12,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_46305,c_46265]) ).
tff(c_128,plain,
( ( multiply(sk_c4,sk_c12) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_44787,plain,
multiply(sk_c4,sk_c12) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_44635,c_128]) ).
tff(c_46514,plain,
! [Z_670] : ( multiply(sk_c4,multiply(sk_c12,Z_670)) = multiply(sk_c11,Z_670) ),
inference(superposition,[status(thm),theory(equality)],[c_44787,c_44812]) ).
tff(c_46529,plain,
multiply(sk_c4,sk_c8) = multiply(sk_c11,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_46309,c_46514]) ).
tff(c_46548,plain,
multiply(sk_c4,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44673,c_46529]) ).
tff(c_130,plain,
( ( inverse(sk_c4) = sk_c12 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_44697,plain,
inverse(sk_c4) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_44635,c_130]) ).
tff(c_44701,plain,
multiply(sk_c12,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44697,c_4]) ).
tff(c_44848,plain,
! [Z_641] : ( multiply(sk_c12,multiply(sk_c4,Z_641)) = multiply(identity,Z_641) ),
inference(superposition,[status(thm),theory(equality)],[c_44701,c_44812]) ).
tff(c_44873,plain,
! [Z_641] : ( multiply(sk_c12,multiply(sk_c4,Z_641)) = Z_641 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44848]) ).
tff(c_46561,plain,
multiply(sk_c12,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46548,c_44873]) ).
tff(c_44827,plain,
! [Z_641] : ( multiply(sk_c4,multiply(sk_c12,Z_641)) = multiply(sk_c11,Z_641) ),
inference(superposition,[status(thm),theory(equality)],[c_44787,c_44812]) ).
tff(c_46583,plain,
multiply(sk_c4,sk_c8) = multiply(sk_c11,identity),
inference(superposition,[status(thm),theory(equality)],[c_46561,c_44827]) ).
tff(c_46589,plain,
multiply(sk_c11,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46548,c_46583]) ).
tff(c_46598,plain,
! [Z_5] : ( multiply(sk_c11,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_46589,c_6]) ).
tff(c_46743,plain,
! [Z_674] : ( multiply(sk_c11,Z_674) = Z_674 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_46598]) ).
tff(c_138,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_44681,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_44635,c_138]) ).
tff(c_136,plain,
( ( multiply(sk_c6,sk_c9) = sk_c12 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_44754,plain,
multiply(sk_c6,sk_c9) = sk_c12,
inference(negUnitSimplification,[status(thm)],[c_44635,c_136]) ).
tff(c_44988,plain,
! [X_646,Z_647] : ( multiply(inverse(X_646),multiply(X_646,Z_647)) = Z_647 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44863]) ).
tff(c_45042,plain,
multiply(inverse(sk_c6),sk_c12) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_44754,c_44988]) ).
tff(c_45103,plain,
multiply(sk_c9,sk_c12) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_44681,c_45042]) ).
tff(c_45219,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_45103,c_44878]) ).
tff(c_45229,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45219]) ).
tff(c_44881,plain,
! [Z_642] : ( multiply(sk_c12,multiply(sk_c4,Z_642)) = Z_642 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44848]) ).
tff(c_44893,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_44787,c_44881]) ).
tff(c_45024,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44893,c_44988]) ).
tff(c_45100,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45024]) ).
tff(c_44880,plain,
multiply(sk_c11,sk_c12) != sk_c10,
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_45111,plain,
multiply(identity,sk_c12) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_45100,c_44880]) ).
tff(c_45120,plain,
sk_c12 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45111]) ).
tff(c_45233,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_45229,c_45120]) ).
tff(c_132,plain,
( ( multiply(sk_c5,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_44770,plain,
multiply(sk_c5,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_44635,c_132]) ).
tff(c_45036,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44770,c_44988]) ).
tff(c_45102,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_44669,c_45036]) ).
tff(c_45372,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45100,c_2,c_45100,c_45102]) ).
tff(c_45373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45233,c_45372]) ).
tff(c_45375,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_46752,plain,
sk_c12 = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_46743,c_45375]) ).
tff(c_46602,plain,
! [Z_5] : ( multiply(sk_c11,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_46598]) ).
tff(c_44854,plain,
! [Z_641] : ( multiply(sk_c11,multiply(sk_c5,Z_641)) = multiply(identity,Z_641) ),
inference(superposition,[status(thm),theory(equality)],[c_44673,c_44812]) ).
tff(c_46218,plain,
! [Z_663] : ( multiply(sk_c11,multiply(sk_c5,Z_663)) = Z_663 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44854]) ).
tff(c_46230,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44770,c_46218]) ).
tff(c_46742,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46602,c_46230]) ).
tff(c_46783,plain,
multiply(sk_c10,sk_c12) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46742,c_45375]) ).
tff(c_47728,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46752,c_46783]) ).
tff(c_47732,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_47728,c_44878]) ).
tff(c_47738,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47732]) ).
tff(c_46848,plain,
! [X_675,Z_676] : ( multiply(inverse(X_675),multiply(X_675,Z_676)) = Z_676 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44863]) ).
tff(c_47194,plain,
! [X_680,Z_681] : ( multiply(inverse(inverse(X_680)),Z_681) = multiply(X_680,Z_681) ),
inference(superposition,[status(thm),theory(equality)],[c_44878,c_46848]) ).
tff(c_46917,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46848]) ).
tff(c_47201,plain,
! [X_680] : ( multiply(X_680,identity) = X_680 ),
inference(superposition,[status(thm),theory(equality)],[c_47194,c_46917]) ).
tff(c_46780,plain,
! [Z_5] : ( multiply(sk_c10,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_46742,c_46602]) ).
tff(c_46761,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_46743,c_44673]) ).
tff(c_46790,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46742,c_44669]) ).
tff(c_46825,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46761,c_46790]) ).
tff(c_46806,plain,
inverse(sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46752,c_44697]) ).
tff(c_46875,plain,
multiply(inverse(sk_c4),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_46548,c_46848]) ).
tff(c_46925,plain,
multiply(sk_c10,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_46806,c_46875]) ).
tff(c_46994,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46780,c_46925]) ).
tff(c_46999,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_46994,c_44645]) ).
tff(c_47001,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46825,c_46999]) ).
tff(c_146,plain,
( ( multiply(sk_c8,sk_c9) = sk_c7 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_44747,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_44635,c_146]) ).
tff(c_44857,plain,
! [Z_641] : ( multiply(sk_c7,multiply(sk_c8,Z_641)) = multiply(identity,Z_641) ),
inference(superposition,[status(thm),theory(equality)],[c_44657,c_44812]) ).
tff(c_46485,plain,
! [Z_669] : ( multiply(sk_c7,multiply(sk_c8,Z_669)) = Z_669 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44857]) ).
tff(c_46500,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_44747,c_46485]) ).
tff(c_47007,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_47001,c_47001,c_46500]) ).
tff(c_47011,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46780,c_47007]) ).
tff(c_47009,plain,
multiply(sk_c9,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47001,c_44650]) ).
tff(c_47048,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46780,c_47011,c_47009]) ).
tff(c_46610,plain,
! [Z_671] : ( multiply(sk_c11,Z_671) = Z_671 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_46598]) ).
tff(c_46628,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_46610,c_44673]) ).
tff(c_46609,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46602,c_46230]) ).
tff(c_46657,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46609,c_44669]) ).
tff(c_46726,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_46628,c_46657]) ).
tff(c_45383,plain,
! [Z_650] : ( multiply(sk_c12,multiply(sk_c4,Z_650)) = Z_650 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44848]) ).
tff(c_45395,plain,
multiply(sk_c12,sk_c11) = sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_44787,c_45383]) ).
tff(c_45683,plain,
! [X_658,Z_659] : ( multiply(inverse(X_658),multiply(X_658,Z_659)) = Z_659 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44863]) ).
tff(c_45719,plain,
multiply(inverse(sk_c12),sk_c12) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_45395,c_45683]) ).
tff(c_45776,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45719]) ).
tff(c_45796,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45776,c_44673]) ).
tff(c_45902,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_45796,c_44878]) ).
tff(c_45914,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45902]) ).
tff(c_45797,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45776,c_44669]) ).
tff(c_45918,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45914,c_45797]) ).
tff(c_45407,plain,
! [Z_651] : ( multiply(sk_c11,multiply(sk_c5,Z_651)) = Z_651 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44854]) ).
tff(c_45419,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_44770,c_45407]) ).
tff(c_45713,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_45419,c_45683]) ).
tff(c_45775,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45713]) ).
tff(c_45784,plain,
multiply(sk_c11,sk_c12) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45775,c_45375]) ).
tff(c_46037,plain,
sk_c12 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45776,c_45784]) ).
tff(c_45792,plain,
multiply(sk_c12,identity) = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_45776,c_45395]) ).
tff(c_45482,plain,
! [Z_653] : ( multiply(sk_c9,multiply(sk_c7,Z_653)) = Z_653 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44860]) ).
tff(c_45494,plain,
multiply(sk_c9,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44657,c_45482]) ).
tff(c_45430,plain,
! [Z_652] : ( multiply(sk_c9,multiply(sk_c11,Z_652)) = multiply(sk_c12,Z_652) ),
inference(superposition,[status(thm),theory(equality)],[c_44764,c_44812]) ).
tff(c_45454,plain,
multiply(sk_c9,identity) = multiply(sk_c12,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_44673,c_45430]) ).
tff(c_45498,plain,
multiply(sk_c12,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45494,c_45454]) ).
tff(c_45919,plain,
multiply(sk_c12,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45914,c_45498]) ).
tff(c_45921,plain,
sk_c8 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_45792,c_45919]) ).
tff(c_45552,plain,
! [Z_656] : ( multiply(sk_c7,multiply(sk_c8,Z_656)) = Z_656 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44857]) ).
tff(c_45567,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_44747,c_45552]) ).
tff(c_45581,plain,
! [Z_657] : ( multiply(sk_c8,multiply(sk_c9,Z_657)) = multiply(sk_c7,Z_657) ),
inference(superposition,[status(thm),theory(equality)],[c_44747,c_44812]) ).
tff(c_45614,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_44650,c_45581]) ).
tff(c_45618,plain,
multiply(sk_c8,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_45567,c_45614]) ).
tff(c_44876,plain,
! [Z_641] : ( multiply(sk_c7,multiply(sk_c8,Z_641)) = Z_641 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44857]) ).
tff(c_45622,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45618,c_44876]) ).
tff(c_44877,plain,
! [Z_641] : ( multiply(sk_c9,multiply(sk_c7,Z_641)) = Z_641 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44860]) ).
tff(c_45643,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_45622,c_44877]) ).
tff(c_45649,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_45494,c_45643]) ).
tff(c_45931,plain,
sk_c9 = sk_c12,
inference(demodulation,[status(thm),theory(equality)],[c_45921,c_45649]) ).
tff(c_46043,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_46037,c_45931]) ).
tff(c_45374,plain,
! [X5_6,X2_12,X8_13,X7_10,X4_14,X6_7,X1_11] :
( ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(multiply(X8_13,inverse(X7_10))) != inverse(X7_10) )
| ( multiply(X8_13,inverse(X7_10)) != inverse(X8_13) )
| ( multiply(inverse(X7_10),sk_c11) != sk_c12 )
| ( multiply(X7_10,inverse(X7_10)) != sk_c12 ) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_45507,plain,
! [X8_654,X7_655] :
( ( inverse(multiply(X8_654,inverse(X7_655))) != inverse(X7_655) )
| ( multiply(X8_654,inverse(X7_655)) != inverse(X8_654) )
| ( multiply(inverse(X7_655),sk_c11) != sk_c12 )
| ( multiply(X7_655,inverse(X7_655)) != sk_c12 ) ),
inference(splitLeft,[status(thm)],[c_45374]) ).
tff(c_45518,plain,
! [X8_654] :
( ( inverse(multiply(X8_654,sk_c9)) != inverse(sk_c6) )
| ( multiply(X8_654,inverse(sk_c6)) != inverse(X8_654) )
| ( multiply(inverse(sk_c6),sk_c11) != sk_c12 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_44681,c_45507]) ).
tff(c_45538,plain,
! [X8_654] :
( ( inverse(multiply(X8_654,sk_c9)) != sk_c9 )
| ( multiply(X8_654,sk_c9) != inverse(X8_654) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44754,c_44681,c_44764,c_44681,c_44681,c_44681,c_45518]) ).
tff(c_46193,plain,
! [X8_662] :
( ( inverse(multiply(X8_662,identity)) != identity )
| ( multiply(X8_662,identity) != inverse(X8_662) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46043,c_46043,c_46043,c_45538]) ).
tff(c_46201,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_46193]) ).
tff(c_46209,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45918,c_45918,c_4,c_45918,c_46201]) ).
tff(c_46210,plain,
! [X5_6,X2_12,X4_14,X6_7,X1_11] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X4_14) != sk_c12 )
| ( multiply(X4_14,sk_c12) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_45374]) ).
tff(c_46454,plain,
! [X4_668] :
( ( inverse(X4_668) != sk_c12 )
| ( multiply(X4_668,sk_c12) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_46210]) ).
tff(c_46464,plain,
inverse(sk_c4) != sk_c12,
inference(superposition,[status(thm),theory(equality)],[c_44787,c_46454]) ).
tff(c_46476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44697,c_46464]) ).
tff(c_46477,plain,
! [X5_6,X6_7,X1_11,X2_12] :
( ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_46210]) ).
tff(c_46604,plain,
! [X2_12] :
( ( inverse(X2_12) != sk_c11 )
| ( multiply(X2_12,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_46477]) ).
tff(c_46712,plain,
! [X2_673] :
( ( inverse(X2_673) != sk_c10 )
| ( multiply(X2_673,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46609,c_46609,c_46604]) ).
tff(c_46725,plain,
inverse(identity) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_2,c_46712]) ).
tff(c_46736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46726,c_46725]) ).
tff(c_46737,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != sk_c12 )
| ( multiply(X1_11,sk_c12) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( multiply(X6_7,sk_c11) != sk_c12 )
| ( inverse(X5_6) != sk_c11 )
| ( multiply(X5_6,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_46477]) ).
tff(c_46816,plain,
! [X1_11,X6_7,X5_6] :
( ( inverse(X1_11) != sk_c10 )
| ( multiply(X1_11,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46742,c_46742,c_46752,c_46742,c_46742,c_46752,c_46742,c_46752,c_46737]) ).
tff(c_46817,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_46816]) ).
tff(c_47589,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_47201,c_47048,c_47048,c_47048,c_46817]) ).
tff(c_47020,plain,
inverse(sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_47011,c_44681]) ).
tff(c_47044,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_47020,c_4]) ).
tff(c_47099,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47048,c_47044]) ).
tff(c_47049,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47048,c_47020]) ).
tff(c_47104,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47099,c_47049]) ).
tff(c_47591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47589,c_47104]) ).
tff(c_47592,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c10 )
| ( inverse(X1_11) != sk_c10 )
| ( multiply(X1_11,sk_c10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_46816]) ).
tff(c_78895,plain,
! [X6_7,X1_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_11) != identity )
| ( identity != X1_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48230,c_47738,c_47738,c_47738,c_48230,c_47738,c_47738,c_47738,c_47592]) ).
tff(c_78897,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_78895]) ).
tff(c_47702,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_46806,c_4]) ).
tff(c_47802,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47738,c_47702]) ).
tff(c_47782,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47738,c_46806]) ).
tff(c_47808,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47802,c_47782]) ).
tff(c_78899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78897,c_47808]) ).
tff(c_78902,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_78895]) ).
tff(c_78904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78902,c_47808]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP312-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:10:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 19.55/8.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.85/8.15
% 19.85/8.15 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.04/8.28
% 20.04/8.28 Inference rules
% 20.04/8.28 ----------------------
% 20.04/8.28 #Ref : 0
% 20.04/8.28 #Sup : 19702
% 20.04/8.28 #Fact : 0
% 20.04/8.28 #Define : 0
% 20.04/8.28 #Split : 65
% 20.04/8.28 #Chain : 0
% 20.04/8.28 #Close : 0
% 20.04/8.28
% 20.04/8.28 Ordering : KBO
% 20.04/8.28
% 20.04/8.28 Simplification rules
% 20.04/8.28 ----------------------
% 20.04/8.29 #Subsume : 17
% 20.04/8.29 #Demod : 50926
% 20.04/8.29 #Tautology : 15898
% 20.04/8.29 #SimpNegUnit : 278
% 20.04/8.29 #BackRed : 1492
% 20.04/8.29
% 20.04/8.29 #Partial instantiations: 0
% 20.04/8.29 #Strategies tried : 1
% 20.04/8.29
% 20.04/8.29 Timing (in seconds)
% 20.04/8.29 ----------------------
% 20.04/8.29 Preprocessing : 0.62
% 20.04/8.29 Parsing : 0.23
% 20.04/8.29 CNF conversion : 0.03
% 20.04/8.29 Main loop : 6.28
% 20.04/8.29 Inferencing : 1.74
% 20.04/8.29 Reduction : 3.44
% 20.04/8.29 Demodulation : 3.08
% 20.04/8.29 BG Simplification : 0.15
% 20.04/8.29 Subsumption : 0.65
% 20.04/8.29 Abstraction : 0.34
% 20.04/8.29 MUC search : 0.00
% 20.04/8.29 Cooper : 0.00
% 20.04/8.29 Total : 7.20
% 20.04/8.29 Index Insertion : 0.00
% 20.04/8.29 Index Deletion : 0.00
% 20.04/8.29 Index Matching : 0.00
% 20.04/8.29 BG Taut test : 0.00
%------------------------------------------------------------------------------