TSTP Solution File: GRP256-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP256-1 : 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 : n005.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 10:40:40 EDT 2023
% Result : Unsatisfiable 104.96s 89.62s
% Output : CNFRefutation 105.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 49
% Syntax : Number of formulae : 583 ( 448 unt; 13 typ; 0 def)
% Number of atoms : 871 ( 836 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 641 ( 340 ~; 301 |; 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 : 333 (; 333 !; 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_89,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
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_125,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c6) = 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_c8 )
| ( multiply(X6,sk_c9) != sk_c8 )
| ( multiply(X1,sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c8 )
| ( multiply(sk_c9,X3) != sk_c8 )
| ( multiply(X7,sk_c9) != X3 )
| ( inverse(X7) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_453458,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_453462,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_453458,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_121,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_125,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_84,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_159,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_76,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_133,plain,
inverse(sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_138,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_92650,plain,
! [X_359,Y_360,Z_361] : ( multiply(multiply(X_359,Y_360),Z_361) = multiply(X_359,multiply(Y_360,Z_361)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_92692,plain,
! [Z_361] : ( multiply(sk_c8,multiply(sk_c3,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_138,c_92650]) ).
tff(c_92717,plain,
! [Z_362] : ( multiply(sk_c8,multiply(sk_c3,Z_362)) = Z_362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_92692]) ).
tff(c_92729,plain,
multiply(sk_c8,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_159,c_92717]) ).
tff(c_48,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_154,plain,
multiply(sk_c2,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_56,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_109,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_113,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_92698,plain,
! [Z_361] : ( multiply(sk_c9,multiply(sk_c2,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_92650]) ).
tff(c_92753,plain,
! [Z_364] : ( multiply(sk_c9,multiply(sk_c2,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_92698]) ).
tff(c_92765,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154,c_92753]) ).
tff(c_92686,plain,
! [Z_361] : ( multiply(sk_c3,multiply(sk_c9,Z_361)) = multiply(sk_c8,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_92650]) ).
tff(c_93005,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_92765,c_92686]) ).
tff(c_93011,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_159,c_92729,c_93005]) ).
tff(c_93016,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_93011,c_92729]) ).
tff(c_92701,plain,
! [X_2,Z_361] : ( multiply(inverse(X_2),multiply(X_2,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_92650]) ).
tff(c_93112,plain,
! [X_370,Z_371] : ( multiply(inverse(X_370),multiply(X_370,Z_371)) = Z_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_92701]) ).
tff(c_93151,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_93016,c_93112]) ).
tff(c_93205,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_93151]) ).
tff(c_20,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_167,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_20]) ).
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_223,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_196]) ).
tff(c_317,plain,
! [Z_21] : ( multiply(sk_c10,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_223]) ).
tff(c_329,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_167,c_317]) ).
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_593,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_617,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_329,c_593]) ).
tff(c_667,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_617]) ).
tff(c_724,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_667,c_167]) ).
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_2004,plain,
! [X_49,Z_50] : ( multiply(inverse(inverse(X_49)),Z_50) = multiply(X_49,Z_50) ),
inference(superposition,[status(thm),theory(equality)],[c_593,c_240]) ).
tff(c_659,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_593]) ).
tff(c_2014,plain,
! [X_49] : ( multiply(X_49,identity) = X_49 ),
inference(superposition,[status(thm),theory(equality)],[c_2004,c_659]) ).
tff(c_1074,plain,
! [X_35,Z_36] : ( multiply(inverse(inverse(X_35)),Z_36) = multiply(X_35,Z_36) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_593]) ).
tff(c_1088,plain,
! [X_35] : ( multiply(X_35,identity) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_1074,c_659]) ).
tff(c_226,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_196]) ).
tff(c_340,plain,
! [Z_22] : ( multiply(sk_c9,multiply(sk_c2,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_226]) ).
tff(c_352,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154,c_340]) ).
tff(c_611,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_352,c_593]) ).
tff(c_666,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_611]) ).
tff(c_364,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_388,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_329,c_364]) ).
tff(c_438,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_388]) ).
tff(c_461,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_438,c_109]) ).
tff(c_382,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_352,c_364]) ).
tff(c_437,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_382]) ).
tff(c_449,plain,
multiply(sk_c2,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_437,c_154]) ).
tff(c_575,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_438,c_449]) ).
tff(c_92,plain,
! [X5_6,X4_12,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_289,plain,
! [X4_20] :
( ( inverse(X4_20) != sk_c10 )
| ( multiply(X4_20,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_296,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_167,c_289]) ).
tff(c_308,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_296]) ).
tff(c_309,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_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_363,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_309]) ).
tff(c_551,plain,
! [X7_9] :
( ( inverse(X7_9) != identity )
| ( multiply(X7_9,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_438,c_2,c_438,c_437,c_438,c_363]) ).
tff(c_579,plain,
inverse(sk_c2) != identity,
inference(superposition,[status(thm),theory(equality)],[c_575,c_551]) ).
tff(c_591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_461,c_579]) ).
tff(c_592,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_309]) ).
tff(c_752,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_666,c_667,c_666,c_667,c_666,c_667,c_667,c_666,c_666,c_592]) ).
tff(c_753,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_752]) ).
tff(c_1779,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1088,c_753]) ).
tff(c_716,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_666,c_133]) ).
tff(c_738,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_716,c_4]) ).
tff(c_786,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_738,c_240]) ).
tff(c_798,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_786]) ).
tff(c_802,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_798,c_716]) ).
tff(c_1781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1779,c_802]) ).
tff(c_1782,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_752]) ).
tff(c_90741,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2014,c_2014,c_1782]) ).
tff(c_90743,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_90741]) ).
tff(c_715,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_666,c_138]) ).
tff(c_1866,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_715,c_2]) ).
tff(c_1876,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1866,c_716]) ).
tff(c_90745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90743,c_1876]) ).
tff(c_90746,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_90741]) ).
tff(c_90748,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_90746]) ).
tff(c_90750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90748,c_1876]) ).
tff(c_92454,plain,
! [X1_358] :
( ( inverse(X1_358) != sk_c10 )
| ( multiply(X1_358,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_90746]) ).
tff(c_92540,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_724,c_92454]) ).
tff(c_92574,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_92540]) ).
tff(c_92576,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_93022,plain,
multiply(sk_c1,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_93011,c_92576]) ).
tff(c_93316,plain,
multiply(sk_c1,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_93205,c_93022]) ).
tff(c_93218,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93205,c_93011]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_92635,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_92576,c_8]) ).
tff(c_92668,plain,
! [Z_361] : ( multiply(sk_c4,multiply(sk_c10,Z_361)) = multiply(sk_c9,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_92635,c_92650]) ).
tff(c_93425,plain,
! [Z_373] : ( multiply(sk_c4,multiply(sk_c10,Z_373)) = Z_373 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_93218,c_92668]) ).
tff(c_93446,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_93425]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_92590,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_92576,c_10]) ).
tff(c_92594,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_92590,c_4]) ).
tff(c_93443,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_92594,c_93425]) ).
tff(c_93496,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_93446,c_93443]) ).
tff(c_93018,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_93011,c_92635]) ).
tff(c_93210,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93205,c_93018]) ).
tff(c_93498,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93496,c_93210]) ).
tff(c_93503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93316,c_93498]) ).
tff(c_93505,plain,
multiply(sk_c3,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_86,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_93565,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_93505,c_86]) ).
tff(c_88,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_93581,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_93505,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_93519,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_93505,c_90]) ).
tff(c_93523,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_93519,c_4]) ).
tff(c_93587,plain,
! [X_374,Y_375,Z_376] : ( multiply(multiply(X_374,Y_375),Z_376) = multiply(X_374,multiply(Y_375,Z_376)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_93620,plain,
! [Z_376] : ( multiply(sk_c9,multiply(sk_c6,Z_376)) = multiply(identity,Z_376) ),
inference(superposition,[status(thm),theory(equality)],[c_93523,c_93587]) ).
tff(c_93818,plain,
! [Z_385] : ( multiply(sk_c9,multiply(sk_c6,Z_385)) = Z_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_93620]) ).
tff(c_93830,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_93581,c_93818]) ).
tff(c_93834,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_93565,c_93830]) ).
tff(c_82,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_93560,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_93505,c_82]) ).
tff(c_93504,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_93509,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_93504,c_4]) ).
tff(c_93623,plain,
! [Z_376] : ( multiply(sk_c8,multiply(sk_c5,Z_376)) = multiply(identity,Z_376) ),
inference(superposition,[status(thm),theory(equality)],[c_93509,c_93587]) ).
tff(c_93778,plain,
! [Z_383] : ( multiply(sk_c8,multiply(sk_c5,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_93623]) ).
tff(c_93790,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_93560,c_93778]) ).
tff(c_93836,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_93834,c_93790]) ).
tff(c_93638,plain,
! [X_2,Z_376] : ( multiply(inverse(X_2),multiply(X_2,Z_376)) = multiply(identity,Z_376) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_93587]) ).
tff(c_93921,plain,
! [X_386,Z_387] : ( multiply(inverse(X_386),multiply(X_386,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_93638]) ).
tff(c_93951,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_93836,c_93921]) ).
tff(c_94013,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_93951]) ).
tff(c_94036,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_94013,c_138]) ).
tff(c_93652,plain,
! [X_2,Z_376] : ( multiply(inverse(X_2),multiply(X_2,Z_376)) = Z_376 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_93638]) ).
tff(c_94192,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_94036,c_93652]) ).
tff(c_94204,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_94192]) ).
tff(c_93847,plain,
multiply(sk_c3,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_93834,c_93505]) ).
tff(c_94028,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_94013,c_94013,c_93847]) ).
tff(c_94270,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_94204,c_94028]) ).
tff(c_94272,plain,
multiply(sk_c2,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_44,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_95116,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_94272,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_95136,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_94272,c_46]) ).
tff(c_94271,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_94276,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_94271,c_4]) ).
tff(c_95143,plain,
! [X_405,Y_406,Z_407] : ( multiply(multiply(X_405,Y_406),Z_407) = multiply(X_405,multiply(Y_406,Z_407)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_95179,plain,
! [Z_407] : ( multiply(sk_c9,multiply(sk_c6,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_94276,c_95143]) ).
tff(c_95280,plain,
! [Z_412] : ( multiply(sk_c9,multiply(sk_c6,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95179]) ).
tff(c_95292,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95136,c_95280]) ).
tff(c_95296,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95116,c_95292]) ).
tff(c_94354,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_94272,c_44]) ).
tff(c_94349,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_94272,c_46]) ).
tff(c_94359,plain,
! [X_389,Y_390,Z_391] : ( multiply(multiply(X_389,Y_390),Z_391) = multiply(X_389,multiply(Y_390,Z_391)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_94398,plain,
! [Z_391] : ( multiply(sk_c9,multiply(sk_c6,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_94276,c_94359]) ).
tff(c_94605,plain,
! [Z_400] : ( multiply(sk_c9,multiply(sk_c6,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_94398]) ).
tff(c_94620,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_94349,c_94605]) ).
tff(c_94624,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_94354,c_94620]) ).
tff(c_94309,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_94404,plain,
! [Z_391] : ( multiply(sk_c10,multiply(sk_c1,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_94359]) ).
tff(c_94546,plain,
! [Z_398] : ( multiply(sk_c10,multiply(sk_c1,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_94404]) ).
tff(c_94558,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_94309,c_94546]) ).
tff(c_94626,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_94624,c_94558]) ).
tff(c_94410,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = multiply(identity,Z_391) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_94359]) ).
tff(c_94424,plain,
! [X_2,Z_391] : ( multiply(inverse(X_2),multiply(X_2,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_94410]) ).
tff(c_94804,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_94626,c_94424]) ).
tff(c_94810,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_94804]) ).
tff(c_94640,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_94624,c_109]) ).
tff(c_94818,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_94810,c_94640]) ).
tff(c_94878,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_94818,c_4]) ).
tff(c_94932,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_94878,c_94424]) ).
tff(c_94944,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_94932]) ).
tff(c_94637,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_94624,c_94272]) ).
tff(c_94813,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_94810,c_94810,c_94637]) ).
tff(c_95089,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_94944,c_94813]) ).
tff(c_95091,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_95111,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_95091,c_12]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_94296,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_94272,c_42]) ).
tff(c_94300,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_94296,c_4]) ).
tff(c_95173,plain,
! [Z_407] : ( multiply(sk_c8,multiply(sk_c5,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_94300,c_95143]) ).
tff(c_95257,plain,
! [Z_411] : ( multiply(sk_c8,multiply(sk_c5,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95173]) ).
tff(c_95269,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_95111,c_95257]) ).
tff(c_95298,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95296,c_95269]) ).
tff(c_95191,plain,
! [X_2,Z_407] : ( multiply(inverse(X_2),multiply(X_2,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_95143]) ).
tff(c_95382,plain,
! [X_414,Z_415] : ( multiply(inverse(X_414),multiply(X_414,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95191]) ).
tff(c_95403,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_95298,c_95382]) ).
tff(c_95465,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_95403]) ).
tff(c_95311,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95296,c_109]) ).
tff(c_95480,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_95465,c_95311]) ).
tff(c_95530,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95480,c_4]) ).
tff(c_95205,plain,
! [X_2,Z_407] : ( multiply(inverse(X_2),multiply(X_2,Z_407)) = Z_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95191]) ).
tff(c_95596,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_95530,c_95205]) ).
tff(c_95608,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_95596]) ).
tff(c_95308,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95296,c_94272]) ).
tff(c_95476,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_95465,c_95465,c_95308]) ).
tff(c_95675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95608,c_95476]) ).
tff(c_95677,plain,
inverse(sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_72,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_95734,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_95677,c_72]) ).
tff(c_74,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_95743,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_95677,c_74]) ).
tff(c_95676,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_95681,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95676,c_4]) ).
tff(c_95766,plain,
! [X_418,Y_419,Z_420] : ( multiply(multiply(X_418,Y_419),Z_420) = multiply(X_418,multiply(Y_419,Z_420)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_95799,plain,
! [Z_420] : ( multiply(sk_c9,multiply(sk_c6,Z_420)) = multiply(identity,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_95681,c_95766]) ).
tff(c_96173,plain,
! [Z_431] : ( multiply(sk_c9,multiply(sk_c6,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95799]) ).
tff(c_96185,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95743,c_96173]) ).
tff(c_96189,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95734,c_96185]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_95749,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_95677,c_64]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_95704,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_95677,c_66]) ).
tff(c_95708,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95704,c_4]) ).
tff(c_95793,plain,
! [Z_420] : ( multiply(sk_c10,multiply(sk_c4,Z_420)) = multiply(identity,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_95708,c_95766]) ).
tff(c_95986,plain,
! [Z_427] : ( multiply(sk_c10,multiply(sk_c4,Z_427)) = Z_427 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95793]) ).
tff(c_95998,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_95749,c_95986]) ).
tff(c_96191,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_96189,c_95998]) ).
tff(c_95808,plain,
! [X_2,Z_420] : ( multiply(inverse(X_2),multiply(X_2,Z_420)) = multiply(identity,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_95766]) ).
tff(c_95821,plain,
! [X_2,Z_420] : ( multiply(inverse(X_2),multiply(X_2,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95808]) ).
tff(c_97391,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_96191,c_95821]) ).
tff(c_97397,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_97391]) ).
tff(c_97404,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97397,c_96189]) ).
tff(c_95781,plain,
! [Z_420] : ( multiply(sk_c4,multiply(sk_c10,Z_420)) = multiply(sk_c9,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_95749,c_95766]) ).
tff(c_97521,plain,
! [Z_451] : ( multiply(sk_c4,multiply(sk_c10,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97404,c_95781]) ).
tff(c_97548,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_97521]) ).
tff(c_97545,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_95708,c_97521]) ).
tff(c_97652,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_97548,c_97545]) ).
tff(c_96193,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_96189,c_95749]) ).
tff(c_97503,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97397,c_96193]) ).
tff(c_97671,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97652,c_97503]) ).
tff(c_97310,plain,
! [X_448,Z_449] : ( multiply(inverse(X_448),multiply(X_448,Z_449)) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95808]) ).
tff(c_97774,plain,
! [X_453,Z_454] : ( multiply(inverse(inverse(X_453)),Z_454) = multiply(X_453,Z_454) ),
inference(superposition,[status(thm),theory(equality)],[c_95821,c_97310]) ).
tff(c_97358,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_97310]) ).
tff(c_97784,plain,
! [X_453] : ( multiply(X_453,identity) = X_453 ),
inference(superposition,[status(thm),theory(equality)],[c_97774,c_97358]) ).
tff(c_96277,plain,
! [X_432,Z_433] : ( multiply(inverse(X_432),multiply(X_432,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95808]) ).
tff(c_96656,plain,
! [X_436,Z_437] : ( multiply(inverse(inverse(X_436)),Z_437) = multiply(X_436,Z_437) ),
inference(superposition,[status(thm),theory(equality)],[c_96277,c_95821]) ).
tff(c_96349,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_96277]) ).
tff(c_96666,plain,
! [X_436] : ( multiply(X_436,identity) = X_436 ),
inference(superposition,[status(thm),theory(equality)],[c_96656,c_96349]) ).
tff(c_96310,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_96191,c_96277]) ).
tff(c_96360,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96310]) ).
tff(c_96010,plain,
! [Z_428] : ( multiply(sk_c9,multiply(sk_c6,Z_428)) = Z_428 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95799]) ).
tff(c_96022,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95743,c_96010]) ).
tff(c_96026,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95734,c_96022]) ).
tff(c_96032,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_96026,c_95734]) ).
tff(c_96035,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_96026,c_95676]) ).
tff(c_96031,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_96026,c_95743]) ).
tff(c_95873,plain,
! [Z_424] : ( multiply(sk_c9,multiply(sk_c6,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_95799]) ).
tff(c_95885,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_95743,c_95873]) ).
tff(c_95889,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95734,c_95885]) ).
tff(c_95893,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_95889,c_95749]) ).
tff(c_95836,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_95905,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95889,c_95836]) ).
tff(c_95959,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_95893,c_95905]) ).
tff(c_95971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95704,c_95959]) ).
tff(c_95972,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_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_96002,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_95972]) ).
tff(c_96101,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96026,c_96026,c_96026,c_96002]) ).
tff(c_96156,plain,
( ( inverse(sk_c6) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_96031,c_96101]) ).
tff(c_96164,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96032,c_96035,c_96156]) ).
tff(c_96165,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_95972]) ).
tff(c_96212,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96189,c_96189,c_96189,c_96189,c_96189,c_96165]) ).
tff(c_96213,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_96212]) ).
tff(c_97306,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_96666,c_96360,c_96360,c_96360,c_96213]) ).
tff(c_96198,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_96189,c_95676]) ).
tff(c_96208,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_96198,c_4]) ).
tff(c_96388,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_96360,c_96208]) ).
tff(c_96375,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96360,c_96198]) ).
tff(c_96413,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_96388,c_96375]) ).
tff(c_97308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97306,c_96413]) ).
tff(c_97309,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_96212]) ).
tff(c_104602,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97784,c_97397,c_97397,c_97397,c_97397,c_97397,c_97784,c_97397,c_97397,c_97309]) ).
tff(c_104604,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_104602]) ).
tff(c_97478,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_97397,c_96208]) ).
tff(c_97403,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97397,c_96198]) ).
tff(c_97480,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97478,c_97403]) ).
tff(c_104606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104604,c_97480]) ).
tff(c_104607,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_104602]) ).
tff(c_121536,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_104607]) ).
tff(c_121538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121536,c_97480]) ).
tff(c_121540,plain,
! [X1_601] :
( ( inverse(X1_601) != sk_c10 )
| ( multiply(X1_601,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_104607]) ).
tff(c_121592,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_97671,c_121540]) ).
tff(c_121619,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_121592]) ).
tff(c_121621,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_121629,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_121630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121621,c_121629]) ).
tff(c_121631,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_30,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_121671,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_121621,c_30]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_121666,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_121621,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_121651,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_121621,c_34]) ).
tff(c_121655,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121651,c_4]) ).
tff(c_121714,plain,
! [X_602,Y_603,Z_604] : ( multiply(multiply(X_602,Y_603),Z_604) = multiply(X_602,multiply(Y_603,Z_604)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_121741,plain,
! [Z_604] : ( multiply(sk_c9,multiply(sk_c6,Z_604)) = multiply(identity,Z_604) ),
inference(superposition,[status(thm),theory(equality)],[c_121655,c_121714]) ).
tff(c_121767,plain,
! [Z_605] : ( multiply(sk_c9,multiply(sk_c6,Z_605)) = Z_605 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121741]) ).
tff(c_121779,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_121666,c_121767]) ).
tff(c_121783,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_121671,c_121779]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_121680,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_121621,c_26]) ).
tff(c_121851,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_121783,c_121680]) ).
tff(c_121620,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_121625,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121620,c_4]) ).
tff(c_121747,plain,
! [Z_604] : ( multiply(sk_c8,multiply(sk_c5,Z_604)) = multiply(identity,Z_604) ),
inference(superposition,[status(thm),theory(equality)],[c_121625,c_121714]) ).
tff(c_124053,plain,
! [Z_643] : ( multiply(sk_c8,multiply(sk_c5,Z_643)) = Z_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121747]) ).
tff(c_124065,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_121851,c_124053]) ).
tff(c_121753,plain,
! [X_2,Z_604] : ( multiply(inverse(X_2),multiply(X_2,Z_604)) = multiply(identity,Z_604) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_121714]) ).
tff(c_124093,plain,
! [X_645,Z_646] : ( multiply(inverse(X_645),multiply(X_645,Z_646)) = Z_646 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121753]) ).
tff(c_124114,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_124065,c_124093]) ).
tff(c_124178,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_124114]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_121685,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_121621,c_22]) ).
tff(c_121850,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_121783,c_121685]) ).
tff(c_124202,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124178,c_121850]) ).
tff(c_121765,plain,
! [X_2,Z_604] : ( multiply(inverse(X_2),multiply(X_2,Z_604)) = Z_604 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121753]) ).
tff(c_124561,plain,
! [X_651,Z_652] : ( multiply(inverse(inverse(X_651)),Z_652) = multiply(X_651,Z_652) ),
inference(superposition,[status(thm),theory(equality)],[c_121765,c_124093]) ).
tff(c_124171,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_124093]) ).
tff(c_124571,plain,
! [X_651] : ( multiply(X_651,identity) = X_651 ),
inference(superposition,[status(thm),theory(equality)],[c_124561,c_124171]) ).
tff(c_122015,plain,
! [X_612,Z_613] : ( multiply(inverse(X_612),multiply(X_612,Z_613)) = Z_613 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121753]) ).
tff(c_122483,plain,
! [X_618,Z_619] : ( multiply(inverse(inverse(X_618)),Z_619) = multiply(X_618,Z_619) ),
inference(superposition,[status(thm),theory(equality)],[c_121765,c_122015]) ).
tff(c_122093,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_122015]) ).
tff(c_122493,plain,
! [X_618] : ( multiply(X_618,identity) = X_618 ),
inference(superposition,[status(thm),theory(equality)],[c_122483,c_122093]) ).
tff(c_121975,plain,
! [Z_610] : ( multiply(sk_c8,multiply(sk_c5,Z_610)) = Z_610 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_121747]) ).
tff(c_121987,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_121851,c_121975]) ).
tff(c_122036,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_121987,c_122015]) ).
tff(c_122100,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_122036]) ).
tff(c_121786,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_121783,c_121685]) ).
tff(c_121784,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_121828,plain,
! [X4_606] :
( ( inverse(X4_606) != sk_c10 )
| ( multiply(X4_606,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121783,c_121784]) ).
tff(c_121831,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_121786,c_121828]) ).
tff(c_121847,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121631,c_121831]) ).
tff(c_121848,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_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_121914,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121783,c_121783,c_121783,c_121783,c_121783,c_121783,c_121783,c_121783,c_121848]) ).
tff(c_121915,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_121914]) ).
tff(c_123990,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_122493,c_122100,c_122100,c_2,c_122100,c_122100,c_121915]) ).
tff(c_121855,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_121783,c_121651]) ).
tff(c_121865,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121855,c_4]) ).
tff(c_122127,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122100,c_121865]) ).
tff(c_122251,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_122127,c_2]) ).
tff(c_122129,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122100,c_121855]) ).
tff(c_122262,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_122251,c_122129]) ).
tff(c_123992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123990,c_122262]) ).
tff(c_123993,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_121914]) ).
tff(c_130584,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124571,c_124178,c_124178,c_124178,c_124178,c_124571,c_124178,c_124178,c_124178,c_124571,c_124178,c_124178,c_124178,c_123993]) ).
tff(c_130586,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_130584]) ).
tff(c_124205,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124178,c_121865]) ).
tff(c_124329,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_124205,c_2]) ).
tff(c_124207,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124178,c_121855]) ).
tff(c_124340,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124329,c_124207]) ).
tff(c_130588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130586,c_124340]) ).
tff(c_130589,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_130584]) ).
tff(c_449057,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_130589]) ).
tff(c_449059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_449057,c_124340]) ).
tff(c_449060,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_130589]) ).
tff(c_449062,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_449060]) ).
tff(c_449064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_449062,c_124340]) ).
tff(c_453261,plain,
! [X1_1318] :
( ( inverse(X1_1318) != sk_c10 )
| ( multiply(X1_1318,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_449060]) ).
tff(c_453378,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_124202,c_453261]) ).
tff(c_453419,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121631,c_453378]) ).
tff(c_453421,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_58,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_453507,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_453421,c_58]) ).
tff(c_60,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_453490,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_453421,c_60]) ).
tff(c_62,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_453445,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_453421,c_62]) ).
tff(c_453449,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_453445,c_4]) ).
tff(c_453534,plain,
! [X_1319,Y_1320,Z_1321] : ( multiply(multiply(X_1319,Y_1320),Z_1321) = multiply(X_1319,multiply(Y_1320,Z_1321)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_453567,plain,
! [Z_1321] : ( multiply(sk_c9,multiply(sk_c6,Z_1321)) = multiply(identity,Z_1321) ),
inference(superposition,[status(thm),theory(equality)],[c_453449,c_453534]) ).
tff(c_453614,plain,
! [Z_1323] : ( multiply(sk_c9,multiply(sk_c6,Z_1323)) = Z_1323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_453567]) ).
tff(c_453626,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_453490,c_453614]) ).
tff(c_453630,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_453507,c_453626]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_453496,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_453421,c_50]) ).
tff(c_52,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_453471,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_453421,c_52]) ).
tff(c_453475,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_453471,c_4]) ).
tff(c_453561,plain,
! [Z_1321] : ( multiply(sk_c10,multiply(sk_c4,Z_1321)) = multiply(identity,Z_1321) ),
inference(superposition,[status(thm),theory(equality)],[c_453475,c_453534]) ).
tff(c_453591,plain,
! [Z_1322] : ( multiply(sk_c10,multiply(sk_c4,Z_1322)) = Z_1322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_453561]) ).
tff(c_453603,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_453496,c_453591]) ).
tff(c_453716,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_453630,c_453603]) ).
tff(c_453576,plain,
! [X_2,Z_1321] : ( multiply(inverse(X_2),multiply(X_2,Z_1321)) = multiply(identity,Z_1321) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_453534]) ).
tff(c_456424,plain,
! [X_1366,Z_1367] : ( multiply(inverse(X_1366),multiply(X_1366,Z_1367)) = Z_1367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_453576]) ).
tff(c_456475,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_453716,c_456424]) ).
tff(c_456531,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_456475]) ).
tff(c_456559,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_456531,c_453630]) ).
tff(c_453555,plain,
! [Z_1321] : ( multiply(sk_c4,multiply(sk_c10,Z_1321)) = multiply(sk_c9,Z_1321) ),
inference(superposition,[status(thm),theory(equality)],[c_453496,c_453534]) ).
tff(c_456777,plain,
! [Z_1369] : ( multiply(sk_c4,multiply(sk_c10,Z_1369)) = Z_1369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_456559,c_453555]) ).
tff(c_456807,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_453462,c_456777]) ).
tff(c_456804,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_453475,c_456777]) ).
tff(c_456847,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_456807,c_456804]) ).
tff(c_453719,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_453630,c_453496]) ).
tff(c_456554,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_456531,c_453719]) ).
tff(c_456866,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_456847,c_456554]) ).
tff(c_453589,plain,
! [X_2,Z_1321] : ( multiply(inverse(X_2),multiply(X_2,Z_1321)) = Z_1321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_453576]) ).
tff(c_456947,plain,
! [X_1371,Z_1372] : ( multiply(inverse(inverse(X_1371)),Z_1372) = multiply(X_1371,Z_1372) ),
inference(superposition,[status(thm),theory(equality)],[c_453589,c_456424]) ).
tff(c_456517,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_456424]) ).
tff(c_456954,plain,
! [X_1371] : ( multiply(X_1371,identity) = X_1371 ),
inference(superposition,[status(thm),theory(equality)],[c_456947,c_456517]) ).
tff(c_453908,plain,
! [X_1330,Z_1331] : ( multiply(inverse(X_1330),multiply(X_1330,Z_1331)) = Z_1331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_453576]) ).
tff(c_454431,plain,
! [X_1335,Z_1336] : ( multiply(inverse(inverse(X_1335)),Z_1336) = multiply(X_1335,Z_1336) ),
inference(superposition,[status(thm),theory(equality)],[c_453589,c_453908]) ).
tff(c_454001,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_453908]) ).
tff(c_454438,plain,
! [X_1335] : ( multiply(X_1335,identity) = X_1335 ),
inference(superposition,[status(thm),theory(equality)],[c_454431,c_454001]) ).
tff(c_453959,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_453716,c_453908]) ).
tff(c_454015,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_453959]) ).
tff(c_453636,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_453630,c_453496]) ).
tff(c_453631,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_453694,plain,
! [X4_1324] :
( ( inverse(X4_1324) != sk_c10 )
| ( multiply(X4_1324,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_453630,c_453631]) ).
tff(c_453697,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_453636,c_453694]) ).
tff(c_453713,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_453471,c_453697]) ).
tff(c_453714,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_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_453776,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_453630,c_453630,c_453630,c_453630,c_453630,c_453630,c_453630,c_453630,c_453714]) ).
tff(c_453777,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_453776]) ).
tff(c_456290,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_454438,c_454015,c_454015,c_2,c_454015,c_454015,c_453777]) ).
tff(c_453420,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_454047,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_454015,c_453420]) ).
tff(c_454102,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_454047,c_4]) ).
tff(c_454131,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_454102,c_453589]) ).
tff(c_454143,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_454131]) ).
tff(c_454147,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_454143,c_454047]) ).
tff(c_456292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456290,c_454147]) ).
tff(c_456293,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_453776]) ).
tff(c_463315,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_456954,c_456531,c_456531,c_456531,c_456531,c_456954,c_456531,c_456531,c_456531,c_456954,c_456531,c_456531,c_456531,c_456293]) ).
tff(c_463317,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_463315]) ).
tff(c_456563,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_456531,c_453420]) ).
tff(c_456618,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_456563,c_4]) ).
tff(c_456647,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_456618,c_453589]) ).
tff(c_456659,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_456647]) ).
tff(c_456663,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_456659,c_456563]) ).
tff(c_463319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_463317,c_456663]) ).
tff(c_463320,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_463315]) ).
tff(c_513852,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_463320]) ).
tff(c_513854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_513852,c_456663]) ).
tff(c_513855,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_463320]) ).
tff(c_513857,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_513855]) ).
tff(c_513859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_513857,c_456663]) ).
tff(c_515710,plain,
! [X1_1616] :
( ( inverse(X1_1616) != sk_c10 )
| ( multiply(X1_1616,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_513855]) ).
tff(c_515788,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_456866,c_515710]) ).
tff(c_515820,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_453458,c_515788]) ).
tff(c_515821,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_515822,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_515861,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_515822,c_30]) ).
tff(c_515840,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_515822,c_32]) ).
tff(c_515893,plain,
! [X_1617,Y_1618,Z_1619] : ( multiply(multiply(X_1617,Y_1618),Z_1619) = multiply(X_1617,multiply(Y_1618,Z_1619)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_515923,plain,
! [Z_1619] : ( multiply(sk_c9,multiply(sk_c6,Z_1619)) = multiply(identity,Z_1619) ),
inference(superposition,[status(thm),theory(equality)],[c_453449,c_515893]) ).
tff(c_516212,plain,
! [Z_1627] : ( multiply(sk_c9,multiply(sk_c6,Z_1627)) = Z_1627 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515923]) ).
tff(c_516224,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_515840,c_516212]) ).
tff(c_516228,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_515861,c_516224]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_515845,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_453421,c_54]) ).
tff(c_453425,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_453420,c_4]) ).
tff(c_515929,plain,
! [Z_1619] : ( multiply(sk_c8,multiply(sk_c5,Z_1619)) = multiply(identity,Z_1619) ),
inference(superposition,[status(thm),theory(equality)],[c_453425,c_515893]) ).
tff(c_515969,plain,
! [Z_1621] : ( multiply(sk_c8,multiply(sk_c5,Z_1621)) = Z_1621 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515929]) ).
tff(c_515981,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_515845,c_515969]) ).
tff(c_516230,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_516228,c_515981]) ).
tff(c_515932,plain,
! [X_2,Z_1619] : ( multiply(inverse(X_2),multiply(X_2,Z_1619)) = multiply(identity,Z_1619) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_515893]) ).
tff(c_517513,plain,
! [X_1648,Z_1649] : ( multiply(inverse(X_1648),multiply(X_1648,Z_1649)) = Z_1649 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515932]) ).
tff(c_517546,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_516230,c_517513]) ).
tff(c_517593,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_517546]) ).
tff(c_515851,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_453421,c_50]) ).
tff(c_516233,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_516228,c_515851]) ).
tff(c_517606,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_517593,c_516233]) ).
tff(c_515944,plain,
! [X_2,Z_1619] : ( multiply(inverse(X_2),multiply(X_2,Z_1619)) = Z_1619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515932]) ).
tff(c_517849,plain,
! [X_1652,Z_1653] : ( multiply(inverse(inverse(X_1652)),Z_1653) = multiply(X_1652,Z_1653) ),
inference(superposition,[status(thm),theory(equality)],[c_515944,c_517513]) ).
tff(c_517582,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_517513]) ).
tff(c_517856,plain,
! [X_1652] : ( multiply(X_1652,identity) = X_1652 ),
inference(superposition,[status(thm),theory(equality)],[c_517849,c_517582]) ).
tff(c_516391,plain,
! [X_1631,Z_1632] : ( multiply(inverse(X_1631),multiply(X_1631,Z_1632)) = Z_1632 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515932]) ).
tff(c_516823,plain,
! [X_1636,Z_1637] : ( multiply(inverse(inverse(X_1636)),Z_1637) = multiply(X_1636,Z_1637) ),
inference(superposition,[status(thm),theory(equality)],[c_515944,c_516391]) ).
tff(c_516472,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_516391]) ).
tff(c_516833,plain,
! [X_1636] : ( multiply(X_1636,identity) = X_1636 ),
inference(superposition,[status(thm),theory(equality)],[c_516823,c_516472]) ).
tff(c_515826,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_515821,c_4]) ).
tff(c_515920,plain,
! [Z_1619] : ( multiply(sk_c10,multiply(sk_c4,Z_1619)) = multiply(identity,Z_1619) ),
inference(superposition,[status(thm),theory(equality)],[c_515826,c_515893]) ).
tff(c_515946,plain,
! [Z_1620] : ( multiply(sk_c10,multiply(sk_c4,Z_1620)) = Z_1620 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515920]) ).
tff(c_515958,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_515851,c_515946]) ).
tff(c_516231,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_516228,c_515958]) ).
tff(c_516418,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_516231,c_516391]) ).
tff(c_516479,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_516418]) ).
tff(c_515943,plain,
! [Z_1619] : ( multiply(sk_c8,multiply(sk_c5,Z_1619)) = Z_1619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515929]) ).
tff(c_516085,plain,
! [Z_1624] : ( multiply(sk_c9,multiply(sk_c6,Z_1624)) = Z_1624 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515923]) ).
tff(c_516097,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_515840,c_516085]) ).
tff(c_516101,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_515861,c_516097]) ).
tff(c_515993,plain,
! [Z_1622] : ( multiply(sk_c9,multiply(sk_c6,Z_1622)) = Z_1622 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_515923]) ).
tff(c_516005,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_515840,c_515993]) ).
tff(c_516009,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_515861,c_516005]) ).
tff(c_516014,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_516009,c_515851]) ).
tff(c_515985,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_516024,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_516009,c_515985]) ).
tff(c_516063,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_516014,c_516024]) ).
tff(c_516075,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_515821,c_516063]) ).
tff(c_516076,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_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_516077,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_516076]) ).
tff(c_516178,plain,
! [X7_1626] :
( ( inverse(X7_1626) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_1626,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_516101,c_516101,c_516101,c_516077]) ).
tff(c_516185,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_515943,c_516178]) ).
tff(c_516203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_453420,c_516185]) ).
tff(c_516204,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_516076]) ).
tff(c_516304,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_516228,c_516228,c_516228,c_516228,c_516228,c_516204]) ).
tff(c_516305,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_516304]) ).
tff(c_517480,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_516833,c_516479,c_516479,c_516479,c_516305]) ).
tff(c_516237,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_516228,c_453445]) ).
tff(c_516499,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_516479,c_516237]) ).
tff(c_516232,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_516228,c_515861]) ).
tff(c_516427,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_516232,c_516391]) ).
tff(c_516482,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_516427]) ).
tff(c_515917,plain,
! [Z_1619] : ( multiply(sk_c6,multiply(sk_c9,Z_1619)) = multiply(sk_c7,Z_1619) ),
inference(superposition,[status(thm),theory(equality)],[c_515840,c_515893]) ).
tff(c_516244,plain,
! [Z_1628] : ( multiply(sk_c6,multiply(sk_c8,Z_1628)) = multiply(sk_c7,Z_1628) ),
inference(demodulation,[status(thm),theory(equality)],[c_516228,c_515917]) ).
tff(c_516262,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_453425,c_516244]) ).
tff(c_516514,plain,
multiply(sk_c6,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_516482,c_516262]) ).
tff(c_516515,plain,
multiply(sk_c6,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_516514]) ).
tff(c_516623,plain,
multiply(inverse(sk_c6),sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_516515,c_515944]) ).
tff(c_516629,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_516499,c_516623]) ).
tff(c_516507,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_516479,c_453420]) ).
tff(c_516633,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_516629,c_516507]) ).
tff(c_517482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_517480,c_516633]) ).
tff(c_517483,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_516304]) ).
tff(c_524503,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_517856,c_517593,c_517593,c_517593,c_517593,c_517593,c_517856,c_517593,c_517593,c_517483]) ).
tff(c_524505,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_524503]) ).
tff(c_516269,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_516237,c_4]) ).
tff(c_517626,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_517593,c_516269]) ).
tff(c_517609,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_517593,c_516237]) ).
tff(c_517641,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_517626,c_517609]) ).
tff(c_524507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_524505,c_517641]) ).
tff(c_524508,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_524503]) ).
tff(c_530457,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_524508]) ).
tff(c_530459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_530457,c_517641]) ).
tff(c_530461,plain,
! [X1_1756] :
( ( inverse(X1_1756) != sk_c10 )
| ( multiply(X1_1756,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_524508]) ).
tff(c_530497,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_517606,c_530461]) ).
tff(c_530520,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_515821,c_530497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:17:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 104.96/89.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 105.14/89.70
% 105.14/89.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 105.47/89.77
% 105.47/89.77 Inference rules
% 105.47/89.77 ----------------------
% 105.47/89.77 #Ref : 0
% 105.47/89.77 #Sup : 124531
% 105.47/89.77 #Fact : 0
% 105.47/89.77 #Define : 0
% 105.47/89.77 #Split : 44
% 105.47/89.77 #Chain : 0
% 105.47/89.77 #Close : 0
% 105.47/89.77
% 105.47/89.77 Ordering : KBO
% 105.47/89.77
% 105.47/89.77 Simplification rules
% 105.47/89.77 ----------------------
% 105.47/89.77 #Subsume : 5
% 105.47/89.77 #Demod : 588604
% 105.47/89.77 #Tautology : 104759
% 105.47/89.77 #SimpNegUnit : 74
% 105.47/89.77 #BackRed : 657
% 105.47/89.77
% 105.47/89.77 #Partial instantiations: 0
% 105.47/89.77 #Strategies tried : 1
% 105.47/89.77
% 105.47/89.77 Timing (in seconds)
% 105.47/89.77 ----------------------
% 105.47/89.77 Preprocessing : 0.53
% 105.47/89.77 Parsing : 0.20
% 105.47/89.77 CNF conversion : 0.03
% 105.47/89.77 Main loop : 88.00
% 105.47/89.77 Inferencing : 8.33
% 105.47/89.77 Reduction : 70.50
% 105.47/89.77 Demodulation : 68.50
% 105.47/89.77 BG Simplification : 0.54
% 105.47/89.77 Subsumption : 6.24
% 105.47/89.77 Abstraction : 2.16
% 105.47/89.77 MUC search : 0.00
% 105.47/89.77 Cooper : 0.00
% 105.47/89.77 Total : 88.69
% 105.47/89.77 Index Insertion : 0.00
% 105.47/89.77 Index Deletion : 0.00
% 105.47/89.77 Index Matching : 0.00
% 105.47/89.77 BG Taut test : 0.00
%------------------------------------------------------------------------------