TSTP Solution File: GRP248-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP248-1 : 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 : n006.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 10:40:38 EDT 2023
% Result : Unsatisfiable 33.34s 19.64s
% Output : CNFRefutation 33.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 57
% Syntax : Number of formulae : 1223 (1013 unt; 13 typ; 0 def)
% Number of atoms : 1648 (1574 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 1011 ( 573 ~; 438 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 579 (; 579 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( multiply(X4,sk_c10) != sk_c9 )
| ( inverse(X4) != sk_c10 )
| ( multiply(X5,sk_c9) != sk_c8 )
| ( inverse(X5) != sk_c9 )
| ( inverse(X6) != sk_c10 )
| ( multiply(X6,sk_c8) != sk_c10 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( inverse(X2) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( multiply(X7,X3) != sk_c9 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c8) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c10 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_199567,plain,
! [X_1557,Y_1558,Z_1559] : ( multiply(multiply(X_1557,Y_1558),Z_1559) = multiply(X_1557,multiply(Y_1558,Z_1559)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_199603,plain,
! [X_2,Z_1559] : ( multiply(inverse(X_2),multiply(X_2,Z_1559)) = multiply(identity,Z_1559) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_199567]) ).
tff(c_200147,plain,
! [X_1575,Z_1576] : ( multiply(inverse(X_1575),multiply(X_1575,Z_1576)) = Z_1576 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199603]) ).
tff(c_199614,plain,
! [X_2,Z_1559] : ( multiply(inverse(X_2),multiply(X_2,Z_1559)) = Z_1559 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199603]) ).
tff(c_201550,plain,
! [X_1598,Z_1599] : ( multiply(inverse(inverse(X_1598)),Z_1599) = multiply(X_1598,Z_1599) ),
inference(superposition,[status(thm),theory(equality)],[c_200147,c_199614]) ).
tff(c_200219,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_200147]) ).
tff(c_201557,plain,
! [X_1598] : ( multiply(X_1598,identity) = X_1598 ),
inference(superposition,[status(thm),theory(equality)],[c_201550,c_200219]) ).
tff(c_200778,plain,
! [X_1583,Z_1584] : ( multiply(inverse(inverse(X_1583)),Z_1584) = multiply(X_1583,Z_1584) ),
inference(superposition,[status(thm),theory(equality)],[c_199614,c_200147]) ).
tff(c_200785,plain,
! [X_1583] : ( multiply(X_1583,identity) = X_1583 ),
inference(superposition,[status(thm),theory(equality)],[c_200778,c_200219]) ).
tff(c_64401,plain,
! [X_621,Y_622,Z_623] : ( multiply(multiply(X_621,Y_622),Z_623) = multiply(X_621,multiply(Y_622,Z_623)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_64440,plain,
! [X_2,Z_623] : ( multiply(inverse(X_2),multiply(X_2,Z_623)) = multiply(identity,Z_623) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_64401]) ).
tff(c_65326,plain,
! [X_644,Z_645] : ( multiply(inverse(X_644),multiply(X_644,Z_645)) = Z_645 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64440]) ).
tff(c_64452,plain,
! [X_2,Z_623] : ( multiply(inverse(X_2),multiply(X_2,Z_623)) = Z_623 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64440]) ).
tff(c_66634,plain,
! [X_664,Z_665] : ( multiply(inverse(inverse(X_664)),Z_665) = multiply(X_664,Z_665) ),
inference(superposition,[status(thm),theory(equality)],[c_65326,c_64452]) ).
tff(c_65404,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65326]) ).
tff(c_66641,plain,
! [X_664] : ( multiply(X_664,identity) = X_664 ),
inference(superposition,[status(thm),theory(equality)],[c_66634,c_65404]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_109,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_113,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_38927,plain,
! [X_362,Y_363,Z_364] : ( multiply(multiply(X_362,Y_363),Z_364) = multiply(X_362,multiply(Y_363,Z_364)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38969,plain,
! [X_2,Z_364] : ( multiply(inverse(X_2),multiply(X_2,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38927]) ).
tff(c_40286,plain,
! [X_388,Z_389] : ( multiply(inverse(X_388),multiply(X_388,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38969]) ).
tff(c_40367,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_40286]) ).
tff(c_92,plain,
! [X5_6,X4_12,X1_10,X7_9,X6_7,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_38593,plain,
! [X4_359] :
( ( inverse(X4_359) != sk_c10 )
| ( multiply(X4_359,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_38604,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38593]) ).
tff(c_38611,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_38604]) ).
tff(c_86,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_37797,plain,
multiply(sk_c3,sk_c8) = sk_c10,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_123,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_127,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123,c_4]) ).
tff(c_37833,plain,
! [X_338,Y_339,Z_340] : ( multiply(multiply(X_338,Y_339),Z_340) = multiply(X_338,multiply(Y_339,Z_340)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37875,plain,
! [Z_340] : ( multiply(sk_c10,multiply(sk_c3,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_37833]) ).
tff(c_37910,plain,
! [Z_342] : ( multiply(sk_c10,multiply(sk_c3,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37875]) ).
tff(c_37922,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37797,c_37910]) ).
tff(c_90,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_36305,plain,
multiply(sk_c3,sk_c8) = sk_c10,
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_36337,plain,
! [X_305,Y_306,Z_307] : ( multiply(multiply(X_305,Y_306),Z_307) = multiply(X_305,multiply(Y_306,Z_307)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36382,plain,
! [Z_307] : ( multiply(sk_c10,multiply(sk_c3,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_36337]) ).
tff(c_36417,plain,
! [Z_309] : ( multiply(sk_c10,multiply(sk_c3,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36382]) ).
tff(c_36429,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36305,c_36417]) ).
tff(c_35593,plain,
! [X_290,Y_291,Z_292] : ( multiply(multiply(X_290,Y_291),Z_292) = multiply(X_290,multiply(Y_291,Z_292)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35641,plain,
! [X_2,Z_292] : ( multiply(inverse(X_2),multiply(X_2,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35593]) ).
tff(c_36058,plain,
! [X_301,Z_302] : ( multiply(inverse(X_301),multiply(X_301,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35641]) ).
tff(c_36106,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_36058]) ).
tff(c_36100,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_36058]) ).
tff(c_36184,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_36106,c_36100]) ).
tff(c_35700,plain,
! [X4_296] :
( ( inverse(X4_296) != sk_c10 )
| ( multiply(X4_296,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_35708,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35700]) ).
tff(c_35721,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_35708]) ).
tff(c_88,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_153,plain,
multiply(sk_c3,sk_c8) = sk_c10,
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_32632,plain,
! [X_234,Y_235,Z_236] : ( multiply(multiply(X_234,Y_235),Z_236) = multiply(X_234,multiply(Y_235,Z_236)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32677,plain,
! [Z_236] : ( multiply(sk_c10,multiply(sk_c3,Z_236)) = multiply(identity,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_32632]) ).
tff(c_32722,plain,
! [Z_238] : ( multiply(sk_c10,multiply(sk_c3,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32677]) ).
tff(c_32734,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_153,c_32722]) ).
tff(c_196,plain,
! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_229,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_196]) ).
tff(c_584,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_229]) ).
tff(c_240,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).
tff(c_1772,plain,
! [X_47,Z_48] : ( multiply(inverse(inverse(X_47)),Z_48) = multiply(X_47,Z_48) ),
inference(superposition,[status(thm),theory(equality)],[c_584,c_240]) ).
tff(c_650,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_584]) ).
tff(c_1779,plain,
! [X_47] : ( multiply(X_47,identity) = X_47 ),
inference(superposition,[status(thm),theory(equality)],[c_1772,c_650]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_166,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_226,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_196]) ).
tff(c_343,plain,
! [Z_22] : ( multiply(sk_c10,multiply(sk_c1,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_226]) ).
tff(c_355,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_166,c_343]) ).
tff(c_602,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_355,c_584]) ).
tff(c_657,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_602]) ).
tff(c_211,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c10,Z_17)) = multiply(sk_c9,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_166,c_196]) ).
tff(c_1676,plain,
! [Z_46] : ( multiply(sk_c1,multiply(sk_c10,Z_46)) = Z_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_657,c_211]) ).
tff(c_1703,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_1676]) ).
tff(c_644,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_584]) ).
tff(c_638,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_584]) ).
tff(c_1653,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_644,c_638]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_152,plain,
multiply(sk_c2,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_60,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_137,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_141,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).
tff(c_220,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_196]) ).
tff(c_242,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_220]) ).
tff(c_254,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_152,c_242]) ).
tff(c_614,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_254,c_584]) ).
tff(c_658,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_614]) ).
tff(c_677,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_658,c_153]) ).
tff(c_1666,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1653,c_677]) ).
tff(c_1727,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1703,c_1666]) ).
tff(c_1079,plain,
! [X_34,Z_35] : ( multiply(inverse(inverse(X_34)),Z_35) = multiply(X_34,Z_35) ),
inference(superposition,[status(thm),theory(equality)],[c_584,c_240]) ).
tff(c_1086,plain,
! [X_34] : ( multiply(X_34,identity) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_1079,c_650]) ).
tff(c_367,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).
tff(c_397,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_254,c_367]) ).
tff(c_441,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_397]) ).
tff(c_385,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_355,c_367]) ).
tff(c_440,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_385]) ).
tff(c_452,plain,
multiply(sk_c2,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_440,c_152]) ).
tff(c_553,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_441,c_452]) ).
tff(c_454,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_440,c_137]) ).
tff(c_289,plain,
! [X4_20] :
( ( inverse(X4_20) != sk_c10 )
| ( multiply(X4_20,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_299,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_166,c_289]) ).
tff(c_311,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_299]) ).
tff(c_312,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_366,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_312]) ).
tff(c_567,plain,
! [X7_26] :
( ( multiply(inverse(X7_26),identity) != identity )
| ( multiply(X7_26,inverse(X7_26)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_440,c_441,c_440,c_366]) ).
tff(c_569,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(sk_c2,inverse(sk_c2)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_454,c_567]) ).
tff(c_582,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_553,c_454,c_2,c_569]) ).
tff(c_583,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_312]) ).
tff(c_783,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_658,c_657,c_657,c_658,c_657,c_657,c_658,c_657,c_583]) ).
tff(c_784,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_783]) ).
tff(c_1522,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1086,c_784]) ).
tff(c_670,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_657,c_141]) ).
tff(c_788,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_670,c_240]) ).
tff(c_800,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_788]) ).
tff(c_671,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_657,c_137]) ).
tff(c_805,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_800,c_671]) ).
tff(c_1524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1522,c_805]) ).
tff(c_1525,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_783]) ).
tff(c_31362,plain,
! [X6_7,X1_10,X2_11] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1779,c_1727,c_1779,c_1727,c_1727,c_1779,c_1727,c_1525]) ).
tff(c_31364,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31362]) ).
tff(c_653,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_584]) ).
tff(c_724,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_671,c_4]) ).
tff(c_1529,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_724,c_240]) ).
tff(c_1541,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_653,c_1529]) ).
tff(c_1546,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1541,c_671]) ).
tff(c_31366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31364,c_1546]) ).
tff(c_31367,plain,
! [X1_10,X6_7] :
( ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_31362]) ).
tff(c_31369,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_31367]) ).
tff(c_1751,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1727,c_109]) ).
tff(c_31371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31369,c_1751]) ).
tff(c_32553,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_31367]) ).
tff(c_32555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32553,c_1751]) ).
tff(c_32557,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_32627,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32557,c_10]) ).
tff(c_8,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_32570,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32557,c_8]) ).
tff(c_32574,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32570,c_4]) ).
tff(c_32662,plain,
! [Z_236] : ( multiply(sk_c10,multiply(sk_c4,Z_236)) = multiply(identity,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_32574,c_32632]) ).
tff(c_33677,plain,
! [Z_258] : ( multiply(sk_c10,multiply(sk_c4,Z_258)) = Z_258 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32662]) ).
tff(c_33689,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32627,c_33677]) ).
tff(c_33693,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32734,c_33689]) ).
tff(c_32674,plain,
! [Z_236] : ( multiply(sk_c9,multiply(sk_c2,Z_236)) = multiply(identity,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_32632]) ).
tff(c_32699,plain,
! [Z_237] : ( multiply(sk_c9,multiply(sk_c2,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32674]) ).
tff(c_32711,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_152,c_32699]) ).
tff(c_33696,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33693,c_33693,c_32711]) ).
tff(c_32683,plain,
! [X_2,Z_236] : ( multiply(inverse(X_2),multiply(X_2,Z_236)) = multiply(identity,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32632]) ).
tff(c_33805,plain,
! [X_260,Z_261] : ( multiply(inverse(X_260),multiply(X_260,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32683]) ).
tff(c_33832,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33696,c_33805]) ).
tff(c_33900,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33832]) ).
tff(c_33704,plain,
multiply(sk_c1,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33693,c_32557]) ).
tff(c_33908,plain,
multiply(sk_c1,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33900,c_33704]) ).
tff(c_33886,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_33805]) ).
tff(c_33880,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_33805]) ).
tff(c_34191,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33886,c_33880]) ).
tff(c_34148,plain,
! [X_264] : ( multiply(inverse(inverse(X_264)),identity) = X_264 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33805]) ).
tff(c_34166,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32570,c_34148]) ).
tff(c_34177,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_33880,c_34166]) ).
tff(c_34203,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_34191,c_34177]) ).
tff(c_33917,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33900,c_33693]) ).
tff(c_32647,plain,
! [Z_236] : ( multiply(sk_c4,multiply(sk_c9,Z_236)) = multiply(sk_c10,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_32627,c_32632]) ).
tff(c_34236,plain,
! [Z_265] : ( multiply(sk_c10,Z_265) = multiply(sk_c1,Z_265) ),
inference(demodulation,[status(thm),theory(equality)],[c_34203,c_2,c_33917,c_32647]) ).
tff(c_33919,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33900,c_32734]) ).
tff(c_34245,plain,
multiply(sk_c1,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34236,c_33919]) ).
tff(c_34276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33908,c_34245]) ).
tff(c_34277,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_34366,plain,
! [X_266,Y_267,Z_268] : ( multiply(multiply(X_266,Y_267),Z_268) = multiply(X_266,multiply(Y_267,Z_268)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34417,plain,
! [X_2,Z_268] : ( multiply(inverse(X_2),multiply(X_2,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34366]) ).
tff(c_35076,plain,
! [X_284,Z_285] : ( multiply(inverse(X_284),multiply(X_284,Z_285)) = Z_285 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34417]) ).
tff(c_35136,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_35076]) ).
tff(c_35130,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_35076]) ).
tff(c_35481,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35136,c_35130]) ).
tff(c_34278,plain,
multiply(sk_c3,sk_c8) != sk_c10,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_84,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_34353,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34278,c_84]) ).
tff(c_82,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c3,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_34309,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34278,c_82]) ).
tff(c_34313,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34309,c_4]) ).
tff(c_34396,plain,
! [Z_268] : ( multiply(sk_c9,multiply(sk_c5,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_34313,c_34366]) ).
tff(c_34802,plain,
! [Z_282] : ( multiply(sk_c9,multiply(sk_c5,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34396]) ).
tff(c_34814,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34353,c_34802]) ).
tff(c_34304,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_34414,plain,
! [Z_268] : ( multiply(sk_c10,multiply(sk_c1,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_34366]) ).
tff(c_34527,plain,
! [Z_274] : ( multiply(sk_c10,multiply(sk_c1,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34414]) ).
tff(c_34539,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34304,c_34527]) ).
tff(c_34738,plain,
! [Z_281] : ( multiply(sk_c1,multiply(sk_c10,Z_281)) = multiply(sk_c9,Z_281) ),
inference(superposition,[status(thm),theory(equality)],[c_34304,c_34366]) ).
tff(c_34759,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_34539,c_34738]) ).
tff(c_34778,plain,
multiply(sk_c9,sk_c9) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34304,c_34759]) ).
tff(c_34818,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34814,c_34778]) ).
tff(c_34343,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34278,c_86]) ).
tff(c_34282,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34277,c_4]) ).
tff(c_34402,plain,
! [Z_268] : ( multiply(sk_c7,multiply(sk_c6,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_34282,c_34366]) ).
tff(c_34550,plain,
! [Z_275] : ( multiply(sk_c7,multiply(sk_c6,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34402]) ).
tff(c_34562,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34343,c_34550]) ).
tff(c_34936,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34818,c_34562]) ).
tff(c_34358,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34278,c_90]) ).
tff(c_34940,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34818,c_34358]) ).
tff(c_35033,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34936,c_34940]) ).
tff(c_34930,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34818,c_34818,c_34814]) ).
tff(c_35039,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35033,c_35033,c_35033,c_34930]) ).
tff(c_34431,plain,
! [X_2,Z_268] : ( multiply(inverse(X_2),multiply(X_2,Z_268)) = Z_268 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34417]) ).
tff(c_35209,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35039,c_34431]) ).
tff(c_35215,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35209]) ).
tff(c_35045,plain,
multiply(sk_c3,sk_c7) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35033,c_34278]) ).
tff(c_35221,plain,
multiply(sk_c3,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35215,c_35045]) ).
tff(c_35482,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35481,c_35221]) ).
tff(c_78,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c3,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_34321,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34278,c_78]) ).
tff(c_35494,plain,
! [X_289] : ( multiply(inverse(inverse(X_289)),identity) = X_289 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35076]) ).
tff(c_35512,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_34321,c_35494]) ).
tff(c_35520,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35136,c_35512]) ).
tff(c_35227,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35215,c_35033]) ).
tff(c_80,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_34348,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34278,c_80]) ).
tff(c_34942,plain,
multiply(sk_c4,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34818,c_34348]) ).
tff(c_35312,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35227,c_34942]) ).
tff(c_35523,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35520,c_35312]) ).
tff(c_35527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35482,c_35523]) ).
tff(c_35529,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_35563,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35529,c_16]) ).
tff(c_35722,plain,
! [X_297,Z_298] : ( multiply(inverse(X_297),multiply(X_297,Z_298)) = Z_298 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35641]) ).
tff(c_35764,plain,
multiply(inverse(sk_c6),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35563,c_35722]) ).
tff(c_35816,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34277,c_35764]) ).
tff(c_35655,plain,
! [X_2,Z_292] : ( multiply(inverse(X_2),multiply(X_2,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35641]) ).
tff(c_35899,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35816,c_35655]) ).
tff(c_35905,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35899]) ).
tff(c_35907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35721,c_35905]) ).
tff(c_35909,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_35708]) ).
tff(c_35922,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35909,c_141]) ).
tff(c_35948,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_35922,c_2]) ).
tff(c_35921,plain,
multiply(sk_c2,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35909,c_152]) ).
tff(c_35989,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35948,c_35921]) ).
tff(c_35990,plain,
multiply(sk_c3,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35989,c_34278]) ).
tff(c_36196,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36184,c_35990]) ).
tff(c_35528,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_35533,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35528,c_4]) ).
tff(c_36094,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_35533,c_36058]) ).
tff(c_36226,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_36106,c_36094]) ).
tff(c_35575,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34278,c_80]) ).
tff(c_35915,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35909,c_35575]) ).
tff(c_36227,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36226,c_35915]) ).
tff(c_36231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36196,c_36227]) ).
tff(c_36233,plain,
multiply(sk_c2,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_38,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_36311,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36233,c_38]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_36234,plain,
multiply(sk_c2,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_36247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36234,c_36233]) ).
tff(c_36248,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_36260,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36248,c_4]) ).
tff(c_36376,plain,
! [Z_307] : ( multiply(sk_c10,multiply(sk_c4,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_36260,c_36337]) ).
tff(c_36565,plain,
! [Z_315] : ( multiply(sk_c10,multiply(sk_c4,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36376]) ).
tff(c_36577,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_36311,c_36565]) ).
tff(c_36581,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36429,c_36577]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_36322,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36233,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_36283,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36233,c_46]) ).
tff(c_36287,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36283,c_4]) ).
tff(c_36367,plain,
! [Z_307] : ( multiply(sk_c7,multiply(sk_c6,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_36287,c_36337]) ).
tff(c_36542,plain,
! [Z_314] : ( multiply(sk_c7,multiply(sk_c6,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36367]) ).
tff(c_36554,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36322,c_36542]) ).
tff(c_36624,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36581,c_36554]) ).
tff(c_48,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_36316,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36233,c_48]) ).
tff(c_36631,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36581,c_36316]) ).
tff(c_36730,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36624,c_36631]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_36331,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36233,c_42]) ).
tff(c_36232,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_36253,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36232,c_4]) ).
tff(c_36373,plain,
! [Z_307] : ( multiply(sk_c9,multiply(sk_c5,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_36253,c_36337]) ).
tff(c_36518,plain,
! [Z_313] : ( multiply(sk_c9,multiply(sk_c5,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36373]) ).
tff(c_36530,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36331,c_36518]) ).
tff(c_36625,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36581,c_36581,c_36530]) ).
tff(c_36736,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36730,c_36730,c_36730,c_36625]) ).
tff(c_36388,plain,
! [X_2,Z_307] : ( multiply(inverse(X_2),multiply(X_2,Z_307)) = multiply(identity,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36337]) ).
tff(c_36402,plain,
! [X_2,Z_307] : ( multiply(inverse(X_2),multiply(X_2,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36388]) ).
tff(c_36879,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36736,c_36402]) ).
tff(c_36885,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36879]) ).
tff(c_36637,plain,
multiply(sk_c8,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36581,c_141]) ).
tff(c_36734,plain,
multiply(sk_c7,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36730,c_36637]) ).
tff(c_37039,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36885,c_36734]) ).
tff(c_36635,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36581,c_36233]) ).
tff(c_36733,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36730,c_36730,c_36635]) ).
tff(c_37048,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37039,c_36885,c_36885,c_36733]) ).
tff(c_37050,plain,
multiply(sk_c3,sk_c8) != sk_c10,
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_37056,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37050,c_84]) ).
tff(c_37082,plain,
! [X_322,Y_323,Z_324] : ( multiply(multiply(X_322,Y_323),Z_324) = multiply(X_322,multiply(Y_323,Z_324)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37115,plain,
! [Z_324] : ( multiply(sk_c9,multiply(sk_c5,Z_324)) = multiply(identity,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_36253,c_37082]) ).
tff(c_37256,plain,
! [Z_331] : ( multiply(sk_c9,multiply(sk_c5,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37115]) ).
tff(c_37268,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37056,c_37256]) ).
tff(c_36274,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_37127,plain,
! [Z_324] : ( multiply(sk_c10,multiply(sk_c1,Z_324)) = multiply(identity,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_37082]) ).
tff(c_37233,plain,
! [Z_330] : ( multiply(sk_c10,multiply(sk_c1,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37127]) ).
tff(c_37245,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36274,c_37233]) ).
tff(c_37326,plain,
! [Z_334] : ( multiply(sk_c1,multiply(sk_c10,Z_334)) = multiply(sk_c9,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_36274,c_37082]) ).
tff(c_37347,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_37245,c_37326]) ).
tff(c_37366,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37268,c_36274,c_37347]) ).
tff(c_37370,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37366,c_37366,c_37268]) ).
tff(c_37130,plain,
! [X_2,Z_324] : ( multiply(inverse(X_2),multiply(X_2,Z_324)) = multiply(identity,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37082]) ).
tff(c_37502,plain,
! [X_336,Z_337] : ( multiply(inverse(X_336),multiply(X_336,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37130]) ).
tff(c_37535,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37370,c_37502]) ).
tff(c_37603,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37535]) ).
tff(c_37383,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37366,c_137]) ).
tff(c_37398,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37383,c_4]) ).
tff(c_37634,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37603,c_37398]) ).
tff(c_37380,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37366,c_36233]) ).
tff(c_37614,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37603,c_37603,c_37380]) ).
tff(c_37765,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37634,c_37614]) ).
tff(c_37767,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_37820,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37767,c_10]) ).
tff(c_37869,plain,
! [Z_340] : ( multiply(sk_c10,multiply(sk_c4,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_36260,c_37833]) ).
tff(c_37970,plain,
! [Z_345] : ( multiply(sk_c10,multiply(sk_c4,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37869]) ).
tff(c_37982,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37820,c_37970]) ).
tff(c_37986,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37922,c_37982]) ).
tff(c_37803,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36233,c_44]) ).
tff(c_37766,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_37771,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37766,c_4]) ).
tff(c_37863,plain,
! [Z_340] : ( multiply(sk_c7,multiply(sk_c6,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_37771,c_37833]) ).
tff(c_37947,plain,
! [Z_344] : ( multiply(sk_c7,multiply(sk_c6,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37863]) ).
tff(c_37959,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37803,c_37947]) ).
tff(c_38004,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_37986,c_37959]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_37808,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37767,c_20]) ).
tff(c_38008,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37986,c_37808]) ).
tff(c_38078,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38004,c_38008]) ).
tff(c_38088,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_37986]) ).
tff(c_37987,plain,
! [X4_346] :
( ( inverse(X4_346) != sk_c10 )
| ( multiply(X4_346,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_37998,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37987]) ).
tff(c_38133,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c7 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38088,c_37998]) ).
tff(c_38134,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_38133]) ).
tff(c_38083,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_38004]) ).
tff(c_37881,plain,
! [X_2,Z_340] : ( multiply(inverse(X_2),multiply(X_2,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37833]) ).
tff(c_38180,plain,
! [X_347,Z_348] : ( multiply(inverse(X_347),multiply(X_347,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37881]) ).
tff(c_38198,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38083,c_38180]) ).
tff(c_38271,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38198]) ).
tff(c_38273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38134,c_38271]) ).
tff(c_38275,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_38133]) ).
tff(c_38015,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37986,c_137]) ).
tff(c_38086,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_38015]) ).
tff(c_38111,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38086,c_4]) ).
tff(c_38298,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38275,c_38111]) ).
tff(c_38012,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37986,c_36233]) ).
tff(c_38082,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_38078,c_38012]) ).
tff(c_38408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38298,c_38275,c_38275,c_38082]) ).
tff(c_38409,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_38446,plain,
! [X_351,Y_352,Z_353] : ( multiply(multiply(X_351,Y_352),Z_353) = multiply(X_351,multiply(Y_352,Z_353)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38473,plain,
! [Z_353] : ( multiply(sk_c7,multiply(sk_c6,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_37771,c_38446]) ).
tff(c_38570,plain,
! [Z_358] : ( multiply(sk_c7,multiply(sk_c6,Z_358)) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38473]) ).
tff(c_38582,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38409,c_38570]) ).
tff(c_38491,plain,
! [X_2,Z_353] : ( multiply(inverse(X_2),multiply(X_2,Z_353)) = multiply(identity,Z_353) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38446]) ).
tff(c_38612,plain,
! [X_360,Z_361] : ( multiply(inverse(X_360),multiply(X_360,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38491]) ).
tff(c_38630,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38582,c_38612]) ).
tff(c_38709,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38630]) ).
tff(c_38711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38611,c_38709]) ).
tff(c_38713,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_38604]) ).
tff(c_38726,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38713,c_36232]) ).
tff(c_38736,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38726,c_4]) ).
tff(c_38746,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_38736,c_2]) ).
tff(c_38424,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36233,c_42]) ).
tff(c_38720,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38713,c_38424]) ).
tff(c_38813,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38746,c_38720]) ).
tff(c_38727,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38713,c_141]) ).
tff(c_38783,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_38727,c_2]) ).
tff(c_38725,plain,
multiply(sk_c2,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38713,c_36233]) ).
tff(c_38840,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38813,c_2,c_38783,c_38725]) ).
tff(c_38842,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_58,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_38901,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_38842,c_58]) ).
tff(c_38841,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_38846,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38841,c_4]) ).
tff(c_38960,plain,
! [Z_364] : ( multiply(sk_c7,multiply(sk_c6,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_38846,c_38927]) ).
tff(c_39010,plain,
! [Z_367] : ( multiply(sk_c7,multiply(sk_c6,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38960]) ).
tff(c_39022,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_38901,c_39010]) ).
tff(c_40316,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_39022,c_40286]) ).
tff(c_40380,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40316]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_38907,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_38842,c_52]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_38862,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_38842,c_50]) ).
tff(c_38866,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38862,c_4]) ).
tff(c_38954,plain,
! [Z_364] : ( multiply(sk_c10,multiply(sk_c4,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_38866,c_38927]) ).
tff(c_40263,plain,
! [Z_387] : ( multiply(sk_c10,multiply(sk_c4,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38954]) ).
tff(c_40275,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38907,c_40263]) ).
tff(c_40304,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_40275,c_40286]) ).
tff(c_41745,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_40367,c_40380,c_40304]) ).
tff(c_38982,plain,
! [X_2,Z_364] : ( multiply(inverse(X_2),multiply(X_2,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38969]) ).
tff(c_41771,plain,
! [X_408,Z_409] : ( multiply(inverse(inverse(X_408)),Z_409) = multiply(X_408,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_40286,c_38982]) ).
tff(c_40373,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40286]) ).
tff(c_41778,plain,
! [X_408] : ( multiply(X_408,identity) = X_408 ),
inference(superposition,[status(thm),theory(equality)],[c_41771,c_40373]) ).
tff(c_40864,plain,
! [X_393,Z_394] : ( multiply(inverse(inverse(X_393)),Z_394) = multiply(X_393,Z_394) ),
inference(superposition,[status(thm),theory(equality)],[c_40286,c_38982]) ).
tff(c_40871,plain,
! [X_393] : ( multiply(X_393,identity) = X_393 ),
inference(superposition,[status(thm),theory(equality)],[c_40864,c_40373]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_38888,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_38842,c_56]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_38854,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_38842,c_54]) ).
tff(c_38858,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38854,c_4]) ).
tff(c_38957,plain,
! [Z_364] : ( multiply(sk_c9,multiply(sk_c5,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_38858,c_38927]) ).
tff(c_40240,plain,
! [Z_386] : ( multiply(sk_c9,multiply(sk_c5,Z_386)) = Z_386 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38957]) ).
tff(c_40252,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38888,c_40240]) ).
tff(c_40479,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_40380,c_40380,c_40252]) ).
tff(c_40489,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40479]) ).
tff(c_40399,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40380,c_38854]) ).
tff(c_40416,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40399,c_4]) ).
tff(c_40423,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_40416,c_38982]) ).
tff(c_40435,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40423]) ).
tff(c_40439,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40435,c_40399]) ).
tff(c_40391,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_40380,c_40380,c_40252]) ).
tff(c_40401,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40391]) ).
tff(c_39567,plain,
! [Z_377] : ( multiply(sk_c9,multiply(sk_c5,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38957]) ).
tff(c_39579,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38888,c_39567]) ).
tff(c_39606,plain,
! [Z_379] : ( multiply(sk_c6,multiply(sk_c7,Z_379)) = multiply(sk_c9,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_38901,c_38927]) ).
tff(c_39621,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_39022,c_39606]) ).
tff(c_39634,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_39579,c_38901,c_39621]) ).
tff(c_39638,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39634,c_39022]) ).
tff(c_62,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_38881,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_38842,c_62]) ).
tff(c_39642,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_39634,c_38881]) ).
tff(c_39719,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39638,c_39642]) ).
tff(c_39721,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39719,c_39638]) ).
tff(c_39882,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39721,c_38982]) ).
tff(c_39888,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39882]) ).
tff(c_39644,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_39634,c_38854]) ).
tff(c_39727,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39719,c_39644]) ).
tff(c_39896,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39888,c_39727]) ).
tff(c_39939,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39896,c_4]) ).
tff(c_39957,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_39939,c_38982]) ).
tff(c_39969,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39957]) ).
tff(c_39973,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39969,c_39896]) ).
tff(c_39899,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39888,c_39719]) ).
tff(c_39341,plain,
! [X_373,Z_374] : ( multiply(inverse(X_373),multiply(X_373,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38969]) ).
tff(c_39392,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_39341]) ).
tff(c_39080,plain,
! [X4_370] :
( ( inverse(X4_370) != sk_c10 )
| ( multiply(X4_370,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_39091,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39080]) ).
tff(c_39098,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_39091]) ).
tff(c_39099,plain,
! [X_371,Z_372] : ( multiply(inverse(X_371),multiply(X_371,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38969]) ).
tff(c_39129,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_39022,c_39099]) ).
tff(c_39193,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39129]) ).
tff(c_39195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39098,c_39193]) ).
tff(c_39197,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_39091]) ).
tff(c_39034,plain,
! [Z_368] : ( multiply(sk_c10,multiply(sk_c4,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38954]) ).
tff(c_39046,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38907,c_39034]) ).
tff(c_39202,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39197,c_39046]) ).
tff(c_39359,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_39202,c_39341]) ).
tff(c_39527,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39392,c_39359]) ).
tff(c_39537,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39527,c_109]) ).
tff(c_39096,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_39046,c_39080]) ).
tff(c_39534,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39527,c_39527,c_39096]) ).
tff(c_39557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39537,c_39534]) ).
tff(c_39558,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_39566,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_39558]) ).
tff(c_39677,plain,
! [X7_380] :
( ( multiply(inverse(X7_380),sk_c8) != sk_c8 )
| ( multiply(X7_380,inverse(X7_380)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39634,c_39634,c_39566]) ).
tff(c_39690,plain,
( ( sk_c8 != identity )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39677]) ).
tff(c_40238,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39973,c_39899,c_39899,c_2,c_39899,c_39899,c_39690]) ).
tff(c_40239,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_39558]) ).
tff(c_40389,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_40239]) ).
tff(c_40460,plain,
! [X5_390] :
( ( inverse(X5_390) != identity )
| ( multiply(X5_390,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40401,c_40380,c_40380,c_40389]) ).
tff(c_40468,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_40460]) ).
tff(c_40476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40439,c_40439,c_40468]) ).
tff(c_40477,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_40239]) ).
tff(c_40547,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40380,c_40489,c_40380,c_40380,c_40489,c_40477]) ).
tff(c_40548,plain,
! [X2_11] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitLeft,[status(thm)],[c_40547]) ).
tff(c_41496,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40871,c_40548]) ).
tff(c_40487,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40380,c_38854]) ).
tff(c_40504,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40487,c_4]) ).
tff(c_40511,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_40504,c_38982]) ).
tff(c_40523,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40511]) ).
tff(c_40527,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40523,c_40487]) ).
tff(c_41498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41496,c_40527]) ).
tff(c_41499,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_40547]) ).
tff(c_60000,plain,
! [X1_10,X6_7] :
( ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41745,c_41778,c_41745,c_41745,c_41778,c_41745,c_41499]) ).
tff(c_60002,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_60000]) ).
tff(c_41752,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_41745,c_109]) ).
tff(c_60004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60002,c_41752]) ).
tff(c_60006,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_60000]) ).
tff(c_60008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60006,c_41752]) ).
tff(c_60010,plain,
inverse(sk_c3) != sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_72,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_64355,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_60010,c_72]) ).
tff(c_74,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_64328,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_60010,c_74]) ).
tff(c_64332,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64328,c_4]) ).
tff(c_64428,plain,
! [Z_623] : ( multiply(sk_c7,multiply(sk_c6,Z_623)) = multiply(identity,Z_623) ),
inference(superposition,[status(thm),theory(equality)],[c_64332,c_64401]) ).
tff(c_64454,plain,
! [Z_624] : ( multiply(sk_c7,multiply(sk_c6,Z_624)) = Z_624 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64428]) ).
tff(c_64466,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_64355,c_64454]) ).
tff(c_65359,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_64466,c_65326]) ).
tff(c_65411,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65359]) ).
tff(c_70,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_64377,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_60010,c_70]) ).
tff(c_60061,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_60010,c_72]) ).
tff(c_60036,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_60010,c_74]) ).
tff(c_60040,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60036,c_4]) ).
tff(c_60109,plain,
! [X_546,Y_547,Z_548] : ( multiply(multiply(X_546,Y_547),Z_548) = multiply(X_546,multiply(Y_547,Z_548)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_60139,plain,
! [Z_548] : ( multiply(sk_c7,multiply(sk_c6,Z_548)) = multiply(identity,Z_548) ),
inference(superposition,[status(thm),theory(equality)],[c_60040,c_60109]) ).
tff(c_60873,plain,
! [Z_565] : ( multiply(sk_c7,multiply(sk_c6,Z_565)) = Z_565 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60139]) ).
tff(c_60885,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_60061,c_60873]) ).
tff(c_60151,plain,
! [X_2,Z_548] : ( multiply(inverse(X_2),multiply(X_2,Z_548)) = multiply(identity,Z_548) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_60109]) ).
tff(c_62081,plain,
! [X_587,Z_588] : ( multiply(inverse(X_587),multiply(X_587,Z_588)) = Z_588 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60151]) ).
tff(c_62132,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_60885,c_62081]) ).
tff(c_62201,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62132]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_60079,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_60010,c_66]) ).
tff(c_60009,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_60014,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60009,c_4]) ).
tff(c_60145,plain,
! [Z_548] : ( multiply(sk_c10,multiply(sk_c4,Z_548)) = multiply(identity,Z_548) ),
inference(superposition,[status(thm),theory(equality)],[c_60014,c_60109]) ).
tff(c_60934,plain,
! [Z_568] : ( multiply(sk_c10,multiply(sk_c4,Z_568)) = Z_568 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60145]) ).
tff(c_60949,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_60079,c_60934]) ).
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_60956,plain,
! [Z_5] : ( multiply(sk_c10,multiply(sk_c10,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_60949,c_6]) ).
tff(c_63416,plain,
! [Z_605] : ( multiply(sk_c10,multiply(sk_c10,Z_605)) = Z_605 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62201,c_60956]) ).
tff(c_63449,plain,
multiply(sk_c10,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_63416]) ).
tff(c_62226,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_62201,c_60949]) ).
tff(c_63437,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_62226,c_63416]) ).
tff(c_63499,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_63449,c_63437]) ).
tff(c_60164,plain,
! [X_2,Z_548] : ( multiply(inverse(X_2),multiply(X_2,Z_548)) = Z_548 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60151]) ).
tff(c_63598,plain,
! [X_606,Z_607] : ( multiply(inverse(inverse(X_606)),Z_607) = multiply(X_606,Z_607) ),
inference(superposition,[status(thm),theory(equality)],[c_60164,c_62081]) ).
tff(c_62189,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_62081]) ).
tff(c_63605,plain,
! [X_606] : ( multiply(X_606,identity) = X_606 ),
inference(superposition,[status(thm),theory(equality)],[c_63598,c_62189]) ).
tff(c_62183,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_62081]) ).
tff(c_62120,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_60949,c_62081]) ).
tff(c_62499,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_62183,c_62201,c_62120]) ).
tff(c_62511,plain,
! [X_590,Z_591] : ( multiply(inverse(inverse(X_590)),Z_591) = multiply(X_590,Z_591) ),
inference(superposition,[status(thm),theory(equality)],[c_60164,c_62081]) ).
tff(c_62518,plain,
! [X_590] : ( multiply(X_590,identity) = X_590 ),
inference(superposition,[status(thm),theory(equality)],[c_62511,c_62189]) ).
tff(c_60088,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_60010,c_70]) ).
tff(c_68,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_60048,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_60010,c_68]) ).
tff(c_60052,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60048,c_4]) ).
tff(c_60136,plain,
! [Z_548] : ( multiply(sk_c9,multiply(sk_c5,Z_548)) = multiply(identity,Z_548) ),
inference(superposition,[status(thm),theory(equality)],[c_60052,c_60109]) ).
tff(c_60166,plain,
! [Z_549] : ( multiply(sk_c9,multiply(sk_c5,Z_549)) = Z_549 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60136]) ).
tff(c_60178,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_60088,c_60166]) ).
tff(c_62229,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_62201,c_62201,c_60178]) ).
tff(c_62236,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_62229]) ).
tff(c_76,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_60074,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_60010,c_76]) ).
tff(c_60467,plain,
! [X_555,Z_556] : ( multiply(inverse(X_555),multiply(X_555,Z_556)) = Z_556 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60151]) ).
tff(c_60515,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_60467]) ).
tff(c_60213,plain,
! [X4_551] :
( ( inverse(X4_551) != sk_c10 )
| ( multiply(X4_551,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_60224,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_60213]) ).
tff(c_60231,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_60224]) ).
tff(c_60232,plain,
! [X_552,Z_553] : ( multiply(inverse(X_552),multiply(X_552,Z_553)) = Z_553 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60151]) ).
tff(c_60274,plain,
multiply(inverse(sk_c6),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_60061,c_60232]) ).
tff(c_60316,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_60036,c_60274]) ).
tff(c_60322,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_60316,c_60164]) ).
tff(c_60328,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60322]) ).
tff(c_60330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60231,c_60328]) ).
tff(c_60332,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_60224]) ).
tff(c_60339,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_60332,c_60079]) ).
tff(c_60485,plain,
multiply(inverse(sk_c4),sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60339,c_60467]) ).
tff(c_60528,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60009,c_60485]) ).
tff(c_60557,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_60528,c_60164]) ).
tff(c_60668,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_60515,c_60557]) ).
tff(c_60678,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_60668,c_109]) ).
tff(c_60190,plain,
! [Z_550] : ( multiply(sk_c10,multiply(sk_c4,Z_550)) = Z_550 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60145]) ).
tff(c_60202,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_60079,c_60190]) ).
tff(c_60229,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_60202,c_60213]) ).
tff(c_60675,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_60668,c_60668,c_60229]) ).
tff(c_60718,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60678,c_60675]) ).
tff(c_60719,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_60854,plain,
! [X7_564] :
( ( multiply(inverse(X7_564),sk_c8) != sk_c9 )
| ( multiply(X7_564,inverse(X7_564)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_60719]) ).
tff(c_60858,plain,
( ( multiply(sk_c7,sk_c8) != sk_c9 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_60036,c_60854]) ).
tff(c_60871,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60061,c_60036,c_60074,c_60858]) ).
tff(c_60872,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_60719]) ).
tff(c_61050,plain,
! [X5_571] :
( ( inverse(X5_571) != sk_c9 )
| ( multiply(X5_571,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_60872]) ).
tff(c_61067,plain,
( ( inverse(inverse(sk_c9)) != sk_c9 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_61050]) ).
tff(c_61077,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_61067]) ).
tff(c_61078,plain,
! [X_572,Z_573] : ( multiply(inverse(X_572),multiply(X_572,Z_573)) = Z_573 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60151]) ).
tff(c_61129,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_60885,c_61078]) ).
tff(c_61197,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61129]) ).
tff(c_61228,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_61197,c_61197,c_60178]) ).
tff(c_61236,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61228]) ).
tff(c_61238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61077,c_61236]) ).
tff(c_61240,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_61067]) ).
tff(c_61071,plain,
( ( inverse(identity) != sk_c9 )
| ( sk_c9 != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_61050]) ).
tff(c_61075,plain,
sk_c9 != sk_c8,
inference(splitLeft,[status(thm)],[c_61071]) ).
tff(c_61241,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_61240,c_61075]) ).
tff(c_60130,plain,
! [Z_548] : ( multiply(sk_c7,multiply(sk_c8,Z_548)) = multiply(sk_c9,Z_548) ),
inference(superposition,[status(thm),theory(equality)],[c_60074,c_60109]) ).
tff(c_61246,plain,
! [Z_548] : ( multiply(sk_c7,multiply(identity,Z_548)) = multiply(sk_c9,Z_548) ),
inference(demodulation,[status(thm),theory(equality)],[c_61240,c_60130]) ).
tff(c_61251,plain,
! [Z_548] : ( multiply(sk_c9,Z_548) = multiply(sk_c7,Z_548) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_61246]) ).
tff(c_60124,plain,
! [Z_548] : ( multiply(sk_c5,multiply(sk_c8,Z_548)) = multiply(sk_c9,Z_548) ),
inference(superposition,[status(thm),theory(equality)],[c_60088,c_60109]) ).
tff(c_61380,plain,
! [Z_548] : ( multiply(sk_c7,Z_548) = multiply(sk_c5,Z_548) ),
inference(demodulation,[status(thm),theory(equality)],[c_61251,c_2,c_61240,c_60124]) ).
tff(c_61458,plain,
! [Z_577] : ( multiply(sk_c9,Z_577) = multiply(sk_c5,Z_577) ),
inference(demodulation,[status(thm),theory(equality)],[c_61380,c_61251]) ).
tff(c_60023,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_60027,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60023,c_4]) ).
tff(c_61479,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61458,c_60027]) ).
tff(c_61248,plain,
multiply(sk_c5,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_61240,c_60088]) ).
tff(c_61381,plain,
! [Z_548] : ( multiply(sk_c9,Z_548) = multiply(sk_c5,Z_548) ),
inference(demodulation,[status(thm),theory(equality)],[c_61380,c_61251]) ).
tff(c_60892,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c9,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_60885,c_6]) ).
tff(c_61530,plain,
! [Z_578] : ( multiply(sk_c5,multiply(sk_c5,Z_578)) = multiply(sk_c5,Z_578) ),
inference(demodulation,[status(thm),theory(equality)],[c_61380,c_61381,c_61380,c_60892]) ).
tff(c_61551,plain,
multiply(sk_c5,sk_c2) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_61479,c_61530]) ).
tff(c_61567,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61479,c_61248,c_61551]) ).
tff(c_61569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61241,c_61567]) ).
tff(c_61571,plain,
sk_c9 = sk_c8,
inference(splitRight,[status(thm)],[c_61071]) ).
tff(c_61580,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_61571,c_60885]) ).
tff(c_61585,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_61571,c_60074]) ).
tff(c_61662,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_61580,c_61585]) ).
tff(c_61686,plain,
( ( inverse(inverse(sk_c9)) != sk_c9 )
| ( sk_c7 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61662,c_61067]) ).
tff(c_61687,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_61686]) ).
tff(c_61670,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_61662,c_61580]) ).
tff(c_61742,plain,
! [X_580,Z_581] : ( multiply(inverse(X_580),multiply(X_580,Z_581)) = Z_581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60151]) ).
tff(c_61760,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_61670,c_61742]) ).
tff(c_61818,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61760]) ).
tff(c_61820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61687,c_61818]) ).
tff(c_61822,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_61686]) ).
tff(c_61570,plain,
inverse(identity) != sk_c9,
inference(splitRight,[status(thm)],[c_61071]) ).
tff(c_61609,plain,
inverse(identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_61571,c_61570]) ).
tff(c_61677,plain,
inverse(identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_61662,c_61609]) ).
tff(c_61962,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_61822,c_61677]) ).
tff(c_61590,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_61571,c_60023]) ).
tff(c_61678,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_61662,c_61590]) ).
tff(c_61874,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61822,c_61678]) ).
tff(c_61878,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_61874,c_4]) ).
tff(c_61967,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_61878,c_60164]) ).
tff(c_61979,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_61967]) ).
tff(c_61984,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61979,c_61874]) ).
tff(c_61989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61962,c_61984]) ).
tff(c_61990,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_60872]) ).
tff(c_62029,plain,
! [X2_585] :
( ( multiply(X2_585,sk_c8) != sk_c9 )
| ( inverse(X2_585) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_61990]) ).
tff(c_62039,plain,
inverse(sk_c5) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_60088,c_62029]) ).
tff(c_62055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60048,c_62039]) ).
tff(c_62056,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_61990]) ).
tff(c_62255,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62236,c_62201,c_62056]) ).
tff(c_62256,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_62255]) ).
tff(c_63171,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_62499,c_62518,c_62499,c_62256]) ).
tff(c_62506,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_62499,c_109]) ).
tff(c_63173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63171,c_62506]) ).
tff(c_63174,plain,
! [X1_10] :
( ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_62255]) ).
tff(c_64316,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_63499,c_63605,c_63499,c_63174]) ).
tff(c_63524,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_63499,c_109]) ).
tff(c_64318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64316,c_63524]) ).
tff(c_64319,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_64324,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64319,c_4]) ).
tff(c_64431,plain,
! [Z_623] : ( multiply(sk_c9,multiply(sk_c5,Z_623)) = multiply(identity,Z_623) ),
inference(superposition,[status(thm),theory(equality)],[c_64324,c_64401]) ).
tff(c_65303,plain,
! [Z_643] : ( multiply(sk_c9,multiply(sk_c5,Z_643)) = Z_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64431]) ).
tff(c_65315,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_64377,c_65303]) ).
tff(c_65419,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_65411,c_65411,c_65315]) ).
tff(c_65430,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65419]) ).
tff(c_65398,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_65326]) ).
tff(c_64348,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_60010,c_66]) ).
tff(c_64434,plain,
! [Z_623] : ( multiply(sk_c10,multiply(sk_c4,Z_623)) = multiply(identity,Z_623) ),
inference(superposition,[status(thm),theory(equality)],[c_60014,c_64401]) ).
tff(c_65018,plain,
! [Z_637] : ( multiply(sk_c10,multiply(sk_c4,Z_637)) = Z_637 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64434]) ).
tff(c_65030,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_64348,c_65018]) ).
tff(c_65350,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_65030,c_65326]) ).
tff(c_66595,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_65398,c_65411,c_65350]) ).
tff(c_65749,plain,
! [X_649,Z_650] : ( multiply(inverse(inverse(X_649)),Z_650) = multiply(X_649,Z_650) ),
inference(superposition,[status(thm),theory(equality)],[c_65326,c_64452]) ).
tff(c_65756,plain,
! [X_649] : ( multiply(X_649,identity) = X_649 ),
inference(superposition,[status(thm),theory(equality)],[c_65749,c_65404]) ).
tff(c_65065,plain,
! [X_639,Z_640] : ( multiply(inverse(X_639),multiply(X_639,Z_640)) = Z_640 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64440]) ).
tff(c_65146,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_65065]) ).
tff(c_65098,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_64466,c_65065]) ).
tff(c_65150,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65098]) ).
tff(c_65042,plain,
! [Z_638] : ( multiply(sk_c9,multiply(sk_c5,Z_638)) = Z_638 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64431]) ).
tff(c_65054,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_64377,c_65042]) ).
tff(c_65194,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_65150,c_65150,c_65054]) ).
tff(c_65205,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65194]) ).
tff(c_64780,plain,
! [X_631,Z_632] : ( multiply(inverse(X_631),multiply(X_631,Z_632)) = Z_632 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64440]) ).
tff(c_64819,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_64780]) ).
tff(c_64813,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_60014,c_64780]) ).
tff(c_64890,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_64819,c_64813]) ).
tff(c_64530,plain,
! [X4_628] :
( ( inverse(X4_628) != sk_c10 )
| ( multiply(X4_628,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_64541,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_64530]) ).
tff(c_64555,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_64541]) ).
tff(c_64556,plain,
! [X_629,Z_630] : ( multiply(inverse(X_629),multiply(X_629,Z_630)) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_64440]) ).
tff(c_64589,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_64466,c_64556]) ).
tff(c_64641,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64589]) ).
tff(c_64643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64555,c_64641]) ).
tff(c_64645,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_64541]) ).
tff(c_64425,plain,
! [Z_623] : ( multiply(sk_c4,multiply(sk_c9,Z_623)) = multiply(sk_c10,Z_623) ),
inference(superposition,[status(thm),theory(equality)],[c_64348,c_64401]) ).
tff(c_64940,plain,
! [Z_635] : ( multiply(sk_c10,Z_635) = multiply(sk_c1,Z_635) ),
inference(demodulation,[status(thm),theory(equality)],[c_64890,c_2,c_64645,c_64425]) ).
tff(c_64655,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_64645,c_64348]) ).
tff(c_64798,plain,
multiply(inverse(sk_c4),sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64655,c_64780]) ).
tff(c_64832,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60009,c_64798]) ).
tff(c_64950,plain,
multiply(sk_c1,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_64940,c_64832]) ).
tff(c_64470,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_64648,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64645,c_64470]) ).
tff(c_64981,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_64950,c_64648]) ).
tff(c_64996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_64981]) ).
tff(c_64997,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_65041,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_64997]) ).
tff(c_65240,plain,
! [X7_642] :
( ( multiply(inverse(X7_642),identity) != identity )
| ( multiply(X7_642,inverse(X7_642)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65150,c_65205,c_65150,c_65041]) ).
tff(c_65245,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_65146,c_65240]) ).
tff(c_65258,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_65245]) ).
tff(c_65204,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65150,c_64319]) ).
tff(c_65220,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65204,c_4]) ).
tff(c_65280,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_65220,c_64452]) ).
tff(c_65292,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65280]) ).
tff(c_65297,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65292,c_65204]) ).
tff(c_65301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65258,c_65297]) ).
tff(c_65302,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_64997]) ).
tff(c_65435,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65411,c_65411,c_65411,c_65411,c_65411,c_65302]) ).
tff(c_65436,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_65435]) ).
tff(c_66239,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_65756,c_65430,c_65436]) ).
tff(c_65429,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65411,c_64319]) ).
tff(c_65447,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65429,c_4]) ).
tff(c_65454,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_65447,c_64452]) ).
tff(c_65466,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_65454]) ).
tff(c_65470,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65466,c_65429]) ).
tff(c_66241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66239,c_65470]) ).
tff(c_66242,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_65435]) ).
tff(c_101754,plain,
! [X6_7,X1_10,X2_11] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66641,c_65430,c_66595,c_66641,c_66595,c_66595,c_66641,c_66595,c_65430,c_66242]) ).
tff(c_101756,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_101754]) ).
tff(c_65427,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_65411,c_64324]) ).
tff(c_66367,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_65427,c_64452]) ).
tff(c_66379,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66367]) ).
tff(c_66384,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66379,c_65429]) ).
tff(c_101758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101756,c_66384]) ).
tff(c_101759,plain,
! [X1_10,X6_7] :
( ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_101754]) ).
tff(c_101761,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_101759]) ).
tff(c_66603,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_66595,c_109]) ).
tff(c_101763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101761,c_66603]) ).
tff(c_102790,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_101759]) ).
tff(c_102792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102790,c_66603]) ).
tff(c_102794,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_199529,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_30]) ).
tff(c_129045,plain,
! [X_1092,Y_1093,Z_1094] : ( multiply(multiply(X_1092,Y_1093),Z_1094) = multiply(X_1092,multiply(Y_1093,Z_1094)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_129084,plain,
! [X_2,Z_1094] : ( multiply(inverse(X_2),multiply(X_2,Z_1094)) = multiply(identity,Z_1094) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129045]) ).
tff(c_129096,plain,
! [X_2,Z_1094] : ( multiply(inverse(X_2),multiply(X_2,Z_1094)) = Z_1094 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129084]) ).
tff(c_129994,plain,
! [X_1116,Z_1117] : ( multiply(inverse(X_1116),multiply(X_1116,Z_1117)) = Z_1117 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129084]) ).
tff(c_131318,plain,
! [X_1136,Z_1137] : ( multiply(inverse(inverse(X_1136)),Z_1137) = multiply(X_1136,Z_1137) ),
inference(superposition,[status(thm),theory(equality)],[c_129096,c_129994]) ).
tff(c_130072,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129994]) ).
tff(c_131325,plain,
! [X_1136] : ( multiply(X_1136,identity) = X_1136 ),
inference(superposition,[status(thm),theory(equality)],[c_131318,c_130072]) ).
tff(c_130412,plain,
! [X_1120,Z_1121] : ( multiply(inverse(inverse(X_1120)),Z_1121) = multiply(X_1120,Z_1121) ),
inference(superposition,[status(thm),theory(equality)],[c_129994,c_129096]) ).
tff(c_130419,plain,
! [X_1120] : ( multiply(X_1120,identity) = X_1120 ),
inference(superposition,[status(thm),theory(equality)],[c_130412,c_130072]) ).
tff(c_129002,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_30]) ).
tff(c_32,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_102819,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_102794,c_32]) ).
tff(c_102823,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102819,c_4]) ).
tff(c_129075,plain,
! [Z_1094] : ( multiply(sk_c7,multiply(sk_c6,Z_1094)) = multiply(identity,Z_1094) ),
inference(superposition,[status(thm),theory(equality)],[c_102823,c_129045]) ).
tff(c_129667,plain,
! [Z_1108] : ( multiply(sk_c7,multiply(sk_c6,Z_1108)) = Z_1108 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129075]) ).
tff(c_129679,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_129002,c_129667]) ).
tff(c_130021,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129679,c_129994]) ).
tff(c_130079,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130021]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_128993,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_28]) ).
tff(c_102793,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_102798,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102793,c_4]) ).
tff(c_129081,plain,
! [Z_1094] : ( multiply(sk_c9,multiply(sk_c5,Z_1094)) = multiply(identity,Z_1094) ),
inference(superposition,[status(thm),theory(equality)],[c_102798,c_129045]) ).
tff(c_129690,plain,
! [Z_1109] : ( multiply(sk_c9,multiply(sk_c5,Z_1109)) = Z_1109 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129081]) ).
tff(c_129702,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_128993,c_129690]) ).
tff(c_130088,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_130079,c_130079,c_129702]) ).
tff(c_130100,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130088]) ).
tff(c_129727,plain,
! [X_1111,Z_1112] : ( multiply(inverse(X_1111),multiply(X_1111,Z_1112)) = Z_1112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129084]) ).
tff(c_129754,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129679,c_129727]) ).
tff(c_129812,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129754]) ).
tff(c_129831,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129812,c_102798]) ).
tff(c_129913,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_129831,c_129096]) ).
tff(c_129925,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129913]) ).
tff(c_129832,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129812,c_102793]) ).
tff(c_129955,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129925,c_129832]) ).
tff(c_129821,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_129812,c_129812,c_129702]) ).
tff(c_129833,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129821]) ).
tff(c_102907,plain,
! [X_871,Y_872,Z_873] : ( multiply(multiply(X_871,Y_872),Z_873) = multiply(X_871,multiply(Y_872,Z_873)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_102949,plain,
! [X_2,Z_873] : ( multiply(inverse(X_2),multiply(X_2,Z_873)) = multiply(identity,Z_873) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102907]) ).
tff(c_102962,plain,
! [X_2,Z_873] : ( multiply(inverse(X_2),multiply(X_2,Z_873)) = Z_873 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_105169,plain,
! [X_910,Z_911] : ( multiply(inverse(X_910),multiply(X_910,Z_911)) = Z_911 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_106584,plain,
! [X_929,Z_930] : ( multiply(inverse(inverse(X_929)),Z_930) = multiply(X_929,Z_930) ),
inference(superposition,[status(thm),theory(equality)],[c_102962,c_105169]) ).
tff(c_105274,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_105169]) ).
tff(c_106591,plain,
! [X_929] : ( multiply(X_929,identity) = X_929 ),
inference(superposition,[status(thm),theory(equality)],[c_106584,c_105274]) ).
tff(c_105609,plain,
! [X_913,Z_914] : ( multiply(inverse(inverse(X_913)),Z_914) = multiply(X_913,Z_914) ),
inference(superposition,[status(thm),theory(equality)],[c_102962,c_105169]) ).
tff(c_105616,plain,
! [X_913] : ( multiply(X_913,identity) = X_913 ),
inference(superposition,[status(thm),theory(equality)],[c_105609,c_105274]) ).
tff(c_102864,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_30]) ).
tff(c_102940,plain,
! [Z_873] : ( multiply(sk_c7,multiply(sk_c6,Z_873)) = multiply(identity,Z_873) ),
inference(superposition,[status(thm),theory(equality)],[c_102823,c_102907]) ).
tff(c_102987,plain,
! [Z_875] : ( multiply(sk_c7,multiply(sk_c6,Z_875)) = Z_875 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102940]) ).
tff(c_102999,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102864,c_102987]) ).
tff(c_105217,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102999,c_105169]) ).
tff(c_105285,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105217]) ).
tff(c_102869,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_28]) ).
tff(c_102946,plain,
! [Z_873] : ( multiply(sk_c9,multiply(sk_c5,Z_873)) = multiply(identity,Z_873) ),
inference(superposition,[status(thm),theory(equality)],[c_102798,c_102907]) ).
tff(c_103515,plain,
! [Z_885] : ( multiply(sk_c9,multiply(sk_c5,Z_885)) = Z_885 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102946]) ).
tff(c_103527,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_102869,c_103515]) ).
tff(c_105309,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_105285,c_105285,c_103527]) ).
tff(c_105318,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105309]) ).
tff(c_103672,plain,
! [X_890,Z_891] : ( multiply(inverse(X_890),multiply(X_890,Z_891)) = Z_891 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_103723,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102999,c_103672]) ).
tff(c_103792,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103723]) ).
tff(c_102806,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_103825,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_103792,c_102806]) ).
tff(c_103858,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_103825,c_4]) ).
tff(c_103878,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_103858,c_102962]) ).
tff(c_103890,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103878]) ).
tff(c_103895,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_103890,c_103825]) ).
tff(c_103817,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_103792,c_103792,c_103527]) ).
tff(c_103826,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103817]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_102859,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_102794,c_24]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_102832,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_102794,c_22]) ).
tff(c_102836,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102832,c_4]) ).
tff(c_102937,plain,
! [Z_873] : ( multiply(sk_c10,multiply(sk_c4,Z_873)) = multiply(identity,Z_873) ),
inference(superposition,[status(thm),theory(equality)],[c_102836,c_102907]) ).
tff(c_102964,plain,
! [Z_874] : ( multiply(sk_c10,multiply(sk_c4,Z_874)) = Z_874 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102937]) ).
tff(c_102976,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102859,c_102964]) ).
tff(c_103034,plain,
! [X4_877] :
( ( inverse(X4_877) != sk_c10 )
| ( multiply(X4_877,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_103050,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_102976,c_103034]) ).
tff(c_103045,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_103034]) ).
tff(c_103052,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_103045]) ).
tff(c_103053,plain,
! [X_878,Z_879] : ( multiply(inverse(X_878),multiply(X_878,Z_879)) = Z_879 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_103077,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102999,c_103053]) ).
tff(c_103141,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103077]) ).
tff(c_103143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103052,c_103141]) ).
tff(c_103145,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_103045]) ).
tff(c_103151,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_103145,c_102976]) ).
tff(c_103338,plain,
! [X_881,Z_882] : ( multiply(inverse(X_881),multiply(X_881,Z_882)) = Z_882 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_103356,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_103151,c_103338]) ).
tff(c_102847,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_102851,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102847,c_4]) ).
tff(c_103371,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_102851,c_103338]) ).
tff(c_103469,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_103356,c_103371]) ).
tff(c_103503,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_103469,c_102847]) ).
tff(c_103506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103050,c_103503]) ).
tff(c_103507,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_103618,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_103507]) ).
tff(c_103833,plain,
! [X7_892] :
( ( multiply(inverse(X7_892),sk_c8) != identity )
| ( multiply(X7_892,inverse(X7_892)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103792,c_103792,c_103618]) ).
tff(c_103846,plain,
multiply(sk_c8,inverse(sk_c8)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_103833]) ).
tff(c_104004,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103895,c_103826,c_2,c_103826,c_103846]) ).
tff(c_104005,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_103507]) ).
tff(c_104044,plain,
! [X5_894] :
( ( inverse(X5_894) != sk_c9 )
| ( multiply(X5_894,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_104005]) ).
tff(c_104061,plain,
( ( inverse(inverse(sk_c9)) != sk_c9 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_104044]) ).
tff(c_104071,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_104061]) ).
tff(c_104072,plain,
! [X_895,Z_896] : ( multiply(inverse(X_895),multiply(X_895,Z_896)) = Z_896 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_104120,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102999,c_104072]) ).
tff(c_104188,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104120]) ).
tff(c_104215,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104188,c_104188,c_103527]) ).
tff(c_104224,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104215]) ).
tff(c_104226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104071,c_104224]) ).
tff(c_104228,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_104061]) ).
tff(c_104050,plain,
( ( inverse(sk_c7) != sk_c9 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_102999,c_104044]) ).
tff(c_104070,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_104050]) ).
tff(c_104246,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_104228,c_104070]) ).
tff(c_34,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_102890,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_34]) ).
tff(c_102922,plain,
! [Z_873] : ( multiply(sk_c7,multiply(sk_c8,Z_873)) = multiply(sk_c9,Z_873) ),
inference(superposition,[status(thm),theory(equality)],[c_102890,c_102907]) ).
tff(c_104295,plain,
! [Z_898] : ( multiply(sk_c9,Z_898) = multiply(sk_c7,Z_898) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104228,c_102922]) ).
tff(c_104252,plain,
multiply(sk_c9,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104228,c_103527]) ).
tff(c_104301,plain,
multiply(sk_c7,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104295,c_104252]) ).
tff(c_104356,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104301,c_102999]) ).
tff(c_104358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104246,c_104356]) ).
tff(c_104360,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_104050]) ).
tff(c_104361,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_104061]) ).
tff(c_104362,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_104360,c_104361]) ).
tff(c_104422,plain,
! [X_900,Z_901] : ( multiply(inverse(X_900),multiply(X_900,Z_901)) = Z_901 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_104470,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102999,c_104422]) ).
tff(c_104533,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104470]) ).
tff(c_104368,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104360,c_103527]) ).
tff(c_104706,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104533,c_2,c_104533,c_104368]) ).
tff(c_104707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104362,c_104706]) ).
tff(c_104709,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_104061]) ).
tff(c_104065,plain,
( ( inverse(identity) != sk_c9 )
| ( sk_c9 != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_104044]) ).
tff(c_104069,plain,
sk_c9 != sk_c8,
inference(splitLeft,[status(thm)],[c_104065]) ).
tff(c_104710,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_104709,c_104069]) ).
tff(c_104762,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104709,c_104360]) ).
tff(c_104716,plain,
multiply(sk_c7,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_104709,c_102890]) ).
tff(c_104780,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104762,c_104716]) ).
tff(c_104781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104710,c_104780]) ).
tff(c_104783,plain,
sk_c9 = sk_c8,
inference(splitRight,[status(thm)],[c_104065]) ).
tff(c_104792,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_102999]) ).
tff(c_104794,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_102890]) ).
tff(c_104881,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104792,c_104794]) ).
tff(c_104901,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104881,c_104783]) ).
tff(c_104910,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c7 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104881,c_104901,c_104901,c_104061]) ).
tff(c_104911,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_104910]) ).
tff(c_104889,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104881,c_104792]) ).
tff(c_104942,plain,
! [X_905,Z_906] : ( multiply(inverse(X_905),multiply(X_905,Z_906)) = Z_906 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_104960,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_104889,c_104942]) ).
tff(c_105018,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104960]) ).
tff(c_105020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104911,c_105018]) ).
tff(c_105022,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_104910]) ).
tff(c_104782,plain,
inverse(identity) != sk_c9,
inference(splitRight,[status(thm)],[c_104065]) ).
tff(c_104828,plain,
inverse(identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_104782]) ).
tff(c_104896,plain,
inverse(identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104881,c_104828]) ).
tff(c_105070,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_105022,c_104896]) ).
tff(c_102810,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102806,c_4]) ).
tff(c_103531,plain,
! [Z_886] : ( multiply(sk_c4,multiply(sk_c9,Z_886)) = multiply(sk_c10,Z_886) ),
inference(superposition,[status(thm),theory(equality)],[c_102859,c_102907]) ).
tff(c_103549,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_102810,c_103531]) ).
tff(c_103552,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_102798,c_103531]) ).
tff(c_103606,plain,
multiply(sk_c10,sk_c5) = multiply(sk_c10,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_103549,c_103552]) ).
tff(c_105079,plain,
! [X_908,Z_909] : ( multiply(inverse(X_908),multiply(X_908,Z_909)) = Z_909 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102949]) ).
tff(c_105112,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c2)) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_103606,c_105079]) ).
tff(c_105148,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_102962,c_105112]) ).
tff(c_104801,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_102793]) ).
tff(c_104899,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104881,c_104801]) ).
tff(c_105062,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105022,c_104899]) ).
tff(c_105066,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105062,c_4]) ).
tff(c_105161,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105148,c_105066]) ).
tff(c_104799,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_102806]) ).
tff(c_104897,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104881,c_104799]) ).
tff(c_105071,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105022,c_104897]) ).
tff(c_105163,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105161,c_105071]) ).
tff(c_105167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105070,c_105163]) ).
tff(c_105168,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_104005]) ).
tff(c_105338,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105285,c_105318,c_105285,c_105285,c_105318,c_105168]) ).
tff(c_105339,plain,
! [X2_11] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitLeft,[status(thm)],[c_105338]) ).
tff(c_106307,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_105616,c_105339]) ).
tff(c_105317,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105285,c_102806]) ).
tff(c_105334,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105317,c_4]) ).
tff(c_105387,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_105334,c_102962]) ).
tff(c_105399,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_105387]) ).
tff(c_105404,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_105399,c_105317]) ).
tff(c_106309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106307,c_105404]) ).
tff(c_106310,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_105338]) ).
tff(c_128982,plain,
! [X1_10,X6_7] :
( ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106591,c_106591,c_106310]) ).
tff(c_128984,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_128982]) ).
tff(c_106630,plain,
! [X_931] : ( multiply(X_931,identity) = X_931 ),
inference(superposition,[status(thm),theory(equality)],[c_106584,c_105274]) ).
tff(c_105244,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_102851,c_105169]) ).
tff(c_105250,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_102836,c_105169]) ).
tff(c_106541,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_105244,c_105250]) ).
tff(c_105315,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_105285,c_102859]) ).
tff(c_106554,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_106541,c_105315]) ).
tff(c_106640,plain,
sk_c3 = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_106630,c_106554]) ).
tff(c_106643,plain,
inverse(sk_c10) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_106630,c_105244]) ).
tff(c_106772,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_106640,c_106643]) ).
tff(c_128986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128984,c_106772]) ).
tff(c_128988,plain,
inverse(sk_c10) != sk_c10,
inference(splitRight,[status(thm)],[c_128982]) ).
tff(c_128990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128988,c_106772]) ).
tff(c_128991,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_129072,plain,
! [Z_1094] : ( multiply(sk_c10,multiply(sk_c4,Z_1094)) = multiply(identity,Z_1094) ),
inference(superposition,[status(thm),theory(equality)],[c_102836,c_129045]) ).
tff(c_129098,plain,
! [Z_1095] : ( multiply(sk_c10,multiply(sk_c4,Z_1095)) = Z_1095 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129072]) ).
tff(c_129110,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_128991,c_129098]) ).
tff(c_129161,plain,
! [X4_1098] :
( ( inverse(X4_1098) != sk_c10 )
| ( multiply(X4_1098,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_129177,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_129110,c_129161]) ).
tff(c_129172,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129161]) ).
tff(c_129186,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_129172]) ).
tff(c_129122,plain,
! [Z_1096] : ( multiply(sk_c7,multiply(sk_c6,Z_1096)) = Z_1096 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129075]) ).
tff(c_129134,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_129002,c_129122]) ).
tff(c_129200,plain,
! [X_1100,Z_1101] : ( multiply(inverse(X_1100),multiply(X_1100,Z_1101)) = Z_1101 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129084]) ).
tff(c_129227,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129134,c_129200]) ).
tff(c_129285,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129227]) ).
tff(c_129287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129186,c_129285]) ).
tff(c_129289,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_129172]) ).
tff(c_129295,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129289,c_129110]) ).
tff(c_129500,plain,
! [X_1104,Z_1105] : ( multiply(inverse(X_1104),multiply(X_1104,Z_1105)) = Z_1105 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129084]) ).
tff(c_129518,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_129295,c_129500]) ).
tff(c_129539,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_102836,c_129500]) ).
tff(c_129623,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_129518,c_129539]) ).
tff(c_129662,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_129623,c_102832]) ).
tff(c_129665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129177,c_129662]) ).
tff(c_129666,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_129713,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_129666]) ).
tff(c_129928,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),identity) != identity )
| ( multiply(X7_9,inverse(X7_9)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129812,c_129833,c_129812,c_129713]) ).
tff(c_129968,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_129955,c_129928]) ).
tff(c_129979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129955,c_2,c_2,c_129968]) ).
tff(c_129980,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_129666]) ).
tff(c_130109,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130100,c_130079,c_130079,c_130100,c_130079,c_130079,c_130100,c_130079,c_129980]) ).
tff(c_130110,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_130109]) ).
tff(c_130883,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_130419,c_130110]) ).
tff(c_130099,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130079,c_102793]) ).
tff(c_130117,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_130099,c_4]) ).
tff(c_130146,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_130117,c_129096]) ).
tff(c_130158,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130146]) ).
tff(c_130162,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130158,c_130099]) ).
tff(c_130885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130883,c_130162]) ).
tff(c_130886,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_130109]) ).
tff(c_179042,plain,
! [X6_7,X1_10,X2_11] :
( ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 )
| ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131325,c_131325,c_131325,c_130886]) ).
tff(c_179044,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_179042]) ).
tff(c_130098,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130079,c_102798]) ).
tff(c_130959,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_130098,c_129096]) ).
tff(c_130971,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130959]) ).
tff(c_130976,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130971,c_130099]) ).
tff(c_179046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179044,c_130976]) ).
tff(c_179047,plain,
! [X1_10,X6_7] :
( ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_179042]) ).
tff(c_179049,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_179047]) ).
tff(c_130048,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_102836,c_129994]) ).
tff(c_130027,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_129110,c_129994]) ).
tff(c_131286,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_130048,c_130079,c_130027]) ).
tff(c_131291,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_131286,c_102832]) ).
tff(c_179051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179049,c_131291]) ).
tff(c_179054,plain,
inverse(sk_c10) != sk_c10,
inference(splitRight,[status(thm)],[c_179047]) ).
tff(c_179056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179054,c_131291]) ).
tff(c_179057,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_179062,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179057,c_4]) ).
tff(c_199597,plain,
! [Z_1559] : ( multiply(sk_c7,multiply(sk_c6,Z_1559)) = multiply(identity,Z_1559) ),
inference(superposition,[status(thm),theory(equality)],[c_179062,c_199567]) ).
tff(c_200101,plain,
! [Z_1573] : ( multiply(sk_c7,multiply(sk_c6,Z_1573)) = Z_1573 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199597]) ).
tff(c_200113,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_199529,c_200101]) ).
tff(c_200171,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_200113,c_200147]) ).
tff(c_200226,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_200171]) ).
tff(c_179091,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_28]) ).
tff(c_199600,plain,
! [Z_1559] : ( multiply(sk_c9,multiply(sk_c5,Z_1559)) = multiply(identity,Z_1559) ),
inference(superposition,[status(thm),theory(equality)],[c_102798,c_199567]) ).
tff(c_200062,plain,
! [Z_1571] : ( multiply(sk_c9,multiply(sk_c5,Z_1571)) = Z_1571 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199600]) ).
tff(c_200074,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_179091,c_200062]) ).
tff(c_200379,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_200226,c_200074]) ).
tff(c_200389,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_200379]) ).
tff(c_200238,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_200226,c_200074]) ).
tff(c_200248,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_200238]) ).
tff(c_200243,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_179091]) ).
tff(c_200303,plain,
multiply(sk_c5,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_200248,c_200243]) ).
tff(c_200246,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_102793]) ).
tff(c_179155,plain,
! [X_1379,Y_1380,Z_1381] : ( multiply(multiply(X_1379,Y_1380),Z_1381) = multiply(X_1379,multiply(Y_1380,Z_1381)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_179194,plain,
! [X_2,Z_1381] : ( multiply(inverse(X_2),multiply(X_2,Z_1381)) = multiply(identity,Z_1381) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_179155]) ).
tff(c_181342,plain,
! [X_1418,Z_1419] : ( multiply(inverse(X_1418),multiply(X_1418,Z_1419)) = Z_1419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179194]) ).
tff(c_179206,plain,
! [X_2,Z_1381] : ( multiply(inverse(X_2),multiply(X_2,Z_1381)) = Z_1381 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179194]) ).
tff(c_181795,plain,
! [X_1423,Z_1424] : ( multiply(inverse(inverse(X_1423)),Z_1424) = multiply(X_1423,Z_1424) ),
inference(superposition,[status(thm),theory(equality)],[c_181342,c_179206]) ).
tff(c_181390,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_181342]) ).
tff(c_181802,plain,
! [X_1423] : ( multiply(X_1423,identity) = X_1423 ),
inference(superposition,[status(thm),theory(equality)],[c_181795,c_181390]) ).
tff(c_179191,plain,
! [Z_1381] : ( multiply(sk_c9,multiply(sk_c5,Z_1381)) = multiply(identity,Z_1381) ),
inference(superposition,[status(thm),theory(equality)],[c_102798,c_179155]) ).
tff(c_180222,plain,
! [Z_1401] : ( multiply(sk_c9,multiply(sk_c5,Z_1401)) = Z_1401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179191]) ).
tff(c_180237,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_179091,c_180222]) ).
tff(c_179116,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102794,c_30]) ).
tff(c_179188,plain,
! [Z_1381] : ( multiply(sk_c7,multiply(sk_c6,Z_1381)) = multiply(identity,Z_1381) ),
inference(superposition,[status(thm),theory(equality)],[c_179062,c_179155]) ).
tff(c_179747,plain,
! [Z_1394] : ( multiply(sk_c7,multiply(sk_c6,Z_1394)) = Z_1394 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179188]) ).
tff(c_179765,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_179116,c_179747]) ).
tff(c_179173,plain,
! [Z_1381] : ( multiply(sk_c6,multiply(sk_c7,Z_1381)) = multiply(sk_c9,Z_1381) ),
inference(superposition,[status(thm),theory(equality)],[c_179116,c_179155]) ).
tff(c_179772,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_179765,c_179173]) ).
tff(c_179778,plain,
multiply(sk_c9,sk_c9) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_179116,c_179772]) ).
tff(c_180241,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_180237,c_179778]) ).
tff(c_180356,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_179765]) ).
tff(c_179058,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_179097,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_179058,c_62]) ).
tff(c_180362,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_179097]) ).
tff(c_181322,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180356,c_180362]) ).
tff(c_180351,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_180241,c_180237]) ).
tff(c_181331,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_181322,c_181322,c_181322,c_180351]) ).
tff(c_181443,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_181331,c_179206]) ).
tff(c_181449,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_181443]) ).
tff(c_181457,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181449,c_181322]) ).
tff(c_180420,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180356,c_180362]) ).
tff(c_180428,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180420,c_180356]) ).
tff(c_180511,plain,
! [X_1404,Z_1405] : ( multiply(inverse(X_1404),multiply(X_1404,Z_1405)) = Z_1405 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179194]) ).
tff(c_180529,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_180428,c_180511]) ).
tff(c_180581,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_180529]) ).
tff(c_180594,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_180581,c_180420]) ).
tff(c_180871,plain,
! [X_1408,Z_1409] : ( multiply(inverse(inverse(X_1408)),Z_1409) = multiply(X_1408,Z_1409) ),
inference(superposition,[status(thm),theory(equality)],[c_179206,c_180511]) ).
tff(c_180574,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_180511]) ).
tff(c_180878,plain,
! [X_1408] : ( multiply(X_1408,identity) = X_1408 ),
inference(superposition,[status(thm),theory(equality)],[c_180871,c_180574]) ).
tff(c_180269,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_102793]) ).
tff(c_180266,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_179091]) ).
tff(c_179796,plain,
! [Z_1395] : ( multiply(sk_c9,multiply(sk_c5,Z_1395)) = Z_1395 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179191]) ).
tff(c_179808,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_179091,c_179796]) ).
tff(c_179812,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_179808,c_179778]) ).
tff(c_179855,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_179812,c_179765]) ).
tff(c_179861,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_179812,c_179097]) ).
tff(c_179932,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_179855,c_179861]) ).
tff(c_179934,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_179932,c_179855]) ).
tff(c_180028,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_179934,c_179206]) ).
tff(c_180034,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_180028]) ).
tff(c_179865,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_179812,c_102793]) ).
tff(c_179939,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_179932,c_179865]) ).
tff(c_179953,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179939,c_4]) ).
tff(c_180054,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180034,c_179953]) ).
tff(c_179852,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_179812,c_179812,c_179808]) ).
tff(c_179131,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_102794,c_24]) ).
tff(c_179072,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_179058,c_50]) ).
tff(c_179076,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179072,c_4]) ).
tff(c_179185,plain,
! [Z_1381] : ( multiply(sk_c10,multiply(sk_c4,Z_1381)) = multiply(identity,Z_1381) ),
inference(superposition,[status(thm),theory(equality)],[c_179076,c_179155]) ).
tff(c_179208,plain,
! [Z_1382] : ( multiply(sk_c10,multiply(sk_c4,Z_1382)) = Z_1382 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179185]) ).
tff(c_179220,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_179131,c_179208]) ).
tff(c_179278,plain,
! [X4_1385] :
( ( inverse(X4_1385) != sk_c10 )
| ( multiply(X4_1385,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_179294,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_179220,c_179278]) ).
tff(c_179289,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_179278]) ).
tff(c_179296,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_179289]) ).
tff(c_179255,plain,
! [Z_1384] : ( multiply(sk_c7,multiply(sk_c6,Z_1384)) = Z_1384 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179188]) ).
tff(c_179267,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_179116,c_179255]) ).
tff(c_179310,plain,
! [X_1387,Z_1388] : ( multiply(inverse(X_1387),multiply(X_1387,Z_1388)) = Z_1388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179194]) ).
tff(c_179331,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_179267,c_179310]) ).
tff(c_179395,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_179331]) ).
tff(c_179397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179296,c_179395]) ).
tff(c_179399,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_179289]) ).
tff(c_179406,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_179399,c_179131]) ).
tff(c_179535,plain,
! [X_1389,Z_1390] : ( multiply(inverse(X_1389),multiply(X_1389,Z_1390)) = Z_1390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179194]) ).
tff(c_179553,plain,
multiply(inverse(sk_c4),sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179406,c_179535]) ).
tff(c_179584,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_179072,c_179553]) ).
tff(c_179591,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_179584,c_179206]) ).
tff(c_179103,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_179107,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179103,c_4]) ).
tff(c_179565,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_179107,c_179535]) ).
tff(c_179693,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_179591,c_179565]) ).
tff(c_179708,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_179693,c_179103]) ).
tff(c_179711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179294,c_179708]) ).
tff(c_179712,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_179787,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_179712]) ).
tff(c_179893,plain,
! [X7_1397] :
( ( multiply(inverse(X7_1397),sk_c8) != sk_c8 )
| ( multiply(X7_1397,inverse(X7_1397)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179812,c_179812,c_179787]) ).
tff(c_179895,plain,
( ( multiply(sk_c8,sk_c8) != sk_c8 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_179865,c_179893]) ).
tff(c_179906,plain,
multiply(sk_c5,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_179865,c_179852,c_179895]) ).
tff(c_180165,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180054,c_179906]) ).
tff(c_180166,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_179712]) ).
tff(c_180253,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_180166]) ).
tff(c_180322,plain,
! [X5_1402] :
( ( inverse(X5_1402) != sk_c8 )
| ( multiply(X5_1402,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_180241,c_180253]) ).
tff(c_180331,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_180266,c_180322]) ).
tff(c_180349,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_180269,c_180331]) ).
tff(c_180350,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_180166]) ).
tff(c_180418,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c8) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X2_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_180241,c_180241,c_180350]) ).
tff(c_180419,plain,
! [X2_11] :
( ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X2_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_180418]) ).
tff(c_181318,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_180594,c_180878,c_180594,c_180594,c_180419]) ).
tff(c_180366,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_102793]) ).
tff(c_180433,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180420,c_180366]) ).
tff(c_180477,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_180433,c_4]) ).
tff(c_180612,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180581,c_180477]) ).
tff(c_180591,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_180581,c_180433]) ).
tff(c_180628,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_180612,c_180591]) ).
tff(c_181320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181318,c_180628]) ).
tff(c_181321,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,sk_c8) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_180418]) ).
tff(c_199512,plain,
! [X1_10,X6_7] :
( ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181802,c_181457,c_181802,c_181457,c_181321]) ).
tff(c_199514,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_199512]) ).
tff(c_180358,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_180241,c_179220]) ).
tff(c_181534,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181457,c_180358]) ).
tff(c_181538,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_181534,c_179206]) ).
tff(c_181372,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_179107,c_181342]) ).
tff(c_181711,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_181538,c_181372]) ).
tff(c_181726,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_181711,c_179103]) ).
tff(c_199516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199514,c_181726]) ).
tff(c_199518,plain,
inverse(sk_c10) != sk_c10,
inference(splitRight,[status(thm)],[c_199512]) ).
tff(c_199520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199518,c_181726]) ).
tff(c_199521,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_199594,plain,
! [Z_1559] : ( multiply(sk_c10,multiply(sk_c4,Z_1559)) = multiply(identity,Z_1559) ),
inference(superposition,[status(thm),theory(equality)],[c_179076,c_199567]) ).
tff(c_199640,plain,
! [Z_1561] : ( multiply(sk_c10,multiply(sk_c4,Z_1561)) = Z_1561 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199594]) ).
tff(c_199652,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_199521,c_199640]) ).
tff(c_199679,plain,
! [X4_1563] :
( ( inverse(X4_1563) != sk_c10 )
| ( multiply(X4_1563,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_199695,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_199652,c_199679]) ).
tff(c_199690,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_199679]) ).
tff(c_199704,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_199690]) ).
tff(c_199663,plain,
! [Z_1562] : ( multiply(sk_c7,multiply(sk_c6,Z_1562)) = Z_1562 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199597]) ).
tff(c_199675,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_199529,c_199663]) ).
tff(c_199705,plain,
! [X_1564,Z_1565] : ( multiply(inverse(X_1564),multiply(X_1564,Z_1565)) = Z_1565 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199603]) ).
tff(c_199723,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_199675,c_199705]) ).
tff(c_199781,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_199723]) ).
tff(c_199783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199704,c_199781]) ).
tff(c_199785,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_199690]) ).
tff(c_199788,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_199785,c_199652]) ).
tff(c_199933,plain,
! [X_1567,Z_1568] : ( multiply(inverse(X_1567),multiply(X_1567,Z_1568)) = Z_1568 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199603]) ).
tff(c_199951,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_199788,c_199933]) ).
tff(c_199966,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_179076,c_199933]) ).
tff(c_200023,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_199951,c_199966]) ).
tff(c_200057,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_200023,c_179072]) ).
tff(c_200060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199695,c_200057]) ).
tff(c_200061,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_200234,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_200061]) ).
tff(c_200359,plain,
! [X7_1578] :
( ( multiply(inverse(X7_1578),identity) != identity )
| ( multiply(X7_1578,inverse(X7_1578)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_200248,c_200226,c_200234]) ).
tff(c_200361,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(sk_c5,inverse(sk_c5)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_200246,c_200359]) ).
tff(c_200374,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200303,c_200246,c_2,c_200361]) ).
tff(c_200375,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_200061]) ).
tff(c_200499,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200389,c_200226,c_200226,c_200389,c_200226,c_200226,c_200389,c_200226,c_200375]) ).
tff(c_200500,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_200499]) ).
tff(c_201358,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_200785,c_200500]) ).
tff(c_200386,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_102798]) ).
tff(c_200504,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_200386,c_199614]) ).
tff(c_200516,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_200504]) ).
tff(c_200387,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_102793]) ).
tff(c_200521,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_200516,c_200387]) ).
tff(c_201360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201358,c_200521]) ).
tff(c_201361,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_200499]) ).
tff(c_245510,plain,
! [X6_7,X1_10,X2_11] :
( ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 )
| ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201557,c_201557,c_201557,c_201361]) ).
tff(c_245512,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_245510]) ).
tff(c_199588,plain,
! [Z_1559] : ( multiply(sk_c7,multiply(sk_c8,Z_1559)) = multiply(sk_c9,Z_1559) ),
inference(superposition,[status(thm),theory(equality)],[c_179097,c_199567]) ).
tff(c_201382,plain,
! [Z_1595] : ( multiply(sk_c7,Z_1595) = Z_1595 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_200226,c_200389,c_199588]) ).
tff(c_201406,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_179062,c_201382]) ).
tff(c_201380,plain,
! [Z_1559] : ( multiply(sk_c7,Z_1559) = Z_1559 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_200226,c_200389,c_199588]) ).
tff(c_200377,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_200226,c_200113]) ).
tff(c_201381,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_201380,c_200377]) ).
tff(c_201414,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_201381,c_179057]) ).
tff(c_201436,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_201406,c_201414]) ).
tff(c_245514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245512,c_201436]) ).
tff(c_245515,plain,
! [X1_10,X6_7] :
( ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_245510]) ).
tff(c_245517,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_245515]) ).
tff(c_201598,plain,
! [X_1600] : ( multiply(X_1600,identity) = X_1600 ),
inference(superposition,[status(thm),theory(equality)],[c_201550,c_200219]) ).
tff(c_199585,plain,
! [Z_1559] : ( multiply(sk_c4,multiply(sk_c9,Z_1559)) = multiply(sk_c10,Z_1559) ),
inference(superposition,[status(thm),theory(equality)],[c_199521,c_199567]) ).
tff(c_201453,plain,
! [Z_1559] : ( multiply(sk_c4,Z_1559) = multiply(sk_c10,Z_1559) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_200226,c_199585]) ).
tff(c_201615,plain,
multiply(sk_c10,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_201598,c_201453]) ).
tff(c_201671,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201557,c_201615]) ).
tff(c_200201,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_179076,c_200147]) ).
tff(c_201646,plain,
inverse(sk_c10) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_200201,c_201598]) ).
tff(c_201742,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_201671,c_201646]) ).
tff(c_245519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245517,c_201742]) ).
tff(c_245522,plain,
inverse(sk_c10) != sk_c10,
inference(splitRight,[status(thm)],[c_245515]) ).
tff(c_245524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_245522,c_201742]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 21:53:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 33.34/19.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.61/19.79
% 33.61/19.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.95/19.90
% 33.95/19.90 Inference rules
% 33.95/19.90 ----------------------
% 33.95/19.90 #Ref : 0
% 33.95/19.90 #Sup : 59068
% 33.95/19.90 #Fact : 0
% 33.95/19.90 #Define : 0
% 33.95/19.90 #Split : 101
% 33.95/19.90 #Chain : 0
% 33.95/19.90 #Close : 0
% 33.95/19.90
% 33.95/19.90 Ordering : KBO
% 33.95/19.90
% 33.95/19.90 Simplification rules
% 33.95/19.90 ----------------------
% 33.95/19.90 #Subsume : 32
% 33.95/19.90 #Demod : 191440
% 33.95/19.90 #Tautology : 48080
% 33.95/19.90 #SimpNegUnit : 170
% 33.95/19.90 #BackRed : 1586
% 33.95/19.90
% 33.95/19.90 #Partial instantiations: 0
% 33.95/19.90 #Strategies tried : 1
% 33.95/19.90
% 33.95/19.90 Timing (in seconds)
% 33.95/19.90 ----------------------
% 33.95/19.90 Preprocessing : 0.54
% 33.95/19.90 Parsing : 0.21
% 33.95/19.90 CNF conversion : 0.03
% 33.95/19.90 Main loop : 18.08
% 33.95/19.90 Inferencing : 3.80
% 33.95/19.90 Reduction : 11.71
% 33.95/19.90 Demodulation : 10.98
% 33.95/19.90 BG Simplification : 0.28
% 33.95/19.90 Subsumption : 1.61
% 33.95/19.90 Abstraction : 0.90
% 33.95/19.90 MUC search : 0.00
% 33.95/19.90 Cooper : 0.00
% 33.95/19.90 Total : 18.90
% 33.95/19.90 Index Insertion : 0.00
% 33.95/19.90 Index Deletion : 0.00
% 33.95/19.90 Index Matching : 0.00
% 33.95/19.90 BG Taut test : 0.00
%------------------------------------------------------------------------------