TSTP Solution File: GRP225-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP225-1 : 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 : n023.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 10:40:32 EDT 2023
% Result : Unsatisfiable 15.96s 6.52s
% Output : CNFRefutation 16.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 44
% Syntax : Number of formulae : 518 ( 414 unt; 12 typ; 0 def)
% Number of atoms : 696 ( 671 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 398 ( 208 ~; 190 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 257 (; 257 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_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_122,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( inverse(X4) != sk_c9 )
| ( multiply(X4,sk_c8) != sk_c9 )
| ( multiply(sk_c9,X5) != sk_c8 )
| ( multiply(X6,sk_c9) != X5 )
| ( inverse(X6) != sk_c9 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X1,sk_c8) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c8 )
| ( multiply(X7,X3) != sk_c8 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c9) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,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_55285,plain,
! [X_612,Y_613,Z_614] : ( multiply(multiply(X_612,Y_613),Z_614) = multiply(X_612,multiply(Y_613,Z_614)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_55324,plain,
! [X_2,Z_614] : ( multiply(inverse(X_2),multiply(X_2,Z_614)) = multiply(identity,Z_614) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55285]) ).
tff(c_55336,plain,
! [X_2,Z_614] : ( multiply(inverse(X_2),multiply(X_2,Z_614)) = Z_614 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55324]) ).
tff(c_55751,plain,
! [X_626,Z_627] : ( multiply(inverse(X_626),multiply(X_626,Z_627)) = Z_627 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55324]) ).
tff(c_56789,plain,
! [X_642,Z_643] : ( multiply(inverse(inverse(X_642)),Z_643) = multiply(X_642,Z_643) ),
inference(superposition,[status(thm),theory(equality)],[c_55336,c_55751]) ).
tff(c_55829,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55751]) ).
tff(c_56796,plain,
! [X_642] : ( multiply(X_642,identity) = X_642 ),
inference(superposition,[status(thm),theory(equality)],[c_56789,c_55829]) ).
tff(c_56151,plain,
! [X_630,Z_631] : ( multiply(inverse(inverse(X_630)),Z_631) = multiply(X_630,Z_631) ),
inference(superposition,[status(thm),theory(equality)],[c_55336,c_55751]) ).
tff(c_56158,plain,
! [X_630] : ( multiply(X_630,identity) = X_630 ),
inference(superposition,[status(thm),theory(equality)],[c_56151,c_55829]) ).
tff(c_27693,plain,
! [X_387,Y_388,Z_389] : ( multiply(multiply(X_387,Y_388),Z_389) = multiply(X_387,multiply(Y_388,Z_389)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27732,plain,
! [X_2,Z_389] : ( multiply(inverse(X_2),multiply(X_2,Z_389)) = multiply(identity,Z_389) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27693]) ).
tff(c_30477,plain,
! [X_438,Z_439] : ( multiply(inverse(X_438),multiply(X_438,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27732]) ).
tff(c_27744,plain,
! [X_2,Z_389] : ( multiply(inverse(X_2),multiply(X_2,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27732]) ).
tff(c_30826,plain,
! [X_442,Z_443] : ( multiply(inverse(inverse(X_442)),Z_443) = multiply(X_442,Z_443) ),
inference(superposition,[status(thm),theory(equality)],[c_30477,c_27744]) ).
tff(c_30543,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30477]) ).
tff(c_30833,plain,
! [X_442] : ( multiply(X_442,identity) = X_442 ),
inference(superposition,[status(thm),theory(equality)],[c_30826,c_30543]) ).
tff(c_46,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_25492,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_56,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_25498,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_74,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_107,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_111,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_107,c_4]) ).
tff(c_25560,plain,
! [X_345,Y_346,Z_347] : ( multiply(multiply(X_345,Y_346),Z_347) = multiply(X_345,multiply(Y_346,Z_347)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25602,plain,
! [Z_347] : ( multiply(sk_c9,multiply(sk_c2,Z_347)) = multiply(identity,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_25560]) ).
tff(c_25623,plain,
! [Z_348] : ( multiply(sk_c9,multiply(sk_c2,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25602]) ).
tff(c_25635,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_25498,c_25623]) ).
tff(c_25639,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25492,c_25635]) ).
tff(c_11830,plain,
! [X_183,Y_184,Z_185] : ( multiply(multiply(X_183,Y_184),Z_185) = multiply(X_183,multiply(Y_184,Z_185)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11875,plain,
! [X_2,Z_185] : ( multiply(inverse(X_2),multiply(X_2,Z_185)) = multiply(identity,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11830]) ).
tff(c_14240,plain,
! [X_231,Z_232] : ( multiply(inverse(X_231),multiply(X_231,Z_232)) = Z_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11875]) ).
tff(c_11888,plain,
! [X_2,Z_185] : ( multiply(inverse(X_2),multiply(X_2,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11875]) ).
tff(c_14709,plain,
! [X_237,Z_238] : ( multiply(inverse(inverse(X_237)),Z_238) = multiply(X_237,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_14240,c_11888]) ).
tff(c_14276,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14240]) ).
tff(c_14716,plain,
! [X_237] : ( multiply(X_237,identity) = X_237 ),
inference(superposition,[status(thm),theory(equality)],[c_14709,c_14276]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_130,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_10476,plain,
! [X_151,Y_152,Z_153] : ( multiply(multiply(X_151,Y_152),Z_153) = multiply(X_151,multiply(Y_152,Z_153)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10518,plain,
! [Z_153] : ( multiply(sk_c9,multiply(sk_c2,Z_153)) = multiply(identity,Z_153) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_10476]) ).
tff(c_10637,plain,
! [Z_158] : ( multiply(sk_c9,multiply(sk_c2,Z_158)) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10518]) ).
tff(c_10649,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130,c_10637]) ).
tff(c_164,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_194,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_164]) ).
tff(c_204,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_194]) ).
tff(c_2270,plain,
! [X_58,Z_59] : ( multiply(inverse(X_58),multiply(X_58,Z_59)) = Z_59 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_194]) ).
tff(c_2512,plain,
! [X_62,Z_63] : ( multiply(inverse(inverse(X_62)),Z_63) = multiply(X_62,Z_63) ),
inference(superposition,[status(thm),theory(equality)],[c_204,c_2270]) ).
tff(c_2321,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2270]) ).
tff(c_2519,plain,
! [X_62] : ( multiply(X_62,identity) = X_62 ),
inference(superposition,[status(thm),theory(equality)],[c_2512,c_2321]) ).
tff(c_137,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_188,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_164]) ).
tff(c_337,plain,
! [Z_21] : ( multiply(sk_c9,multiply(sk_c2,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188]) ).
tff(c_355,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130,c_337]) ).
tff(c_359,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_355]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_124,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_364,plain,
multiply(sk_c1,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_124]) ).
tff(c_8,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_95,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_99,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95,c_4]) ).
tff(c_191,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_164]) ).
tff(c_203,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_191]) ).
tff(c_2239,plain,
! [Z_57] : ( multiply(sk_c8,multiply(sk_c1,Z_57)) = Z_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_203]) ).
tff(c_2251,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_364,c_2239]) ).
tff(c_2291,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2251,c_2270]) ).
tff(c_2328,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2291]) ).
tff(c_460,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_194]) ).
tff(c_702,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_204,c_460]) ).
tff(c_723,plain,
! [X_27] : ( multiply(X_27,inverse(X_27)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_702,c_4]) ).
tff(c_429,plain,
! [Z_22] : ( multiply(sk_c8,multiply(sk_c1,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_203]) ).
tff(c_441,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_364,c_429]) ).
tff(c_481,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_441,c_460]) ).
tff(c_518,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_481]) ).
tff(c_511,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_460]) ).
tff(c_709,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_702,c_511]) ).
tff(c_207,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188]) ).
tff(c_219,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130,c_207]) ).
tff(c_223,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_219]) ).
tff(c_231,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_223,c_95]) ).
tff(c_227,plain,
multiply(sk_c1,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_223,c_124]) ).
tff(c_78,plain,
! [X4_12,X1_10,X7_9,X6_7,X2_11] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c9 )
| ( inverse(X4_12) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_206,plain,
! [X4_12] :
( ( multiply(X4_12,sk_c8) != sk_c9 )
| ( inverse(X4_12) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_281,plain,
! [X4_12] :
( ( multiply(X4_12,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_223,c_223,c_206]) ).
tff(c_304,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_227,c_281]) ).
tff(c_313,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_231,c_304]) ).
tff(c_314,plain,
! [X6_7,X1_10,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_394,plain,
! [X6_7,X1_10,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_359,c_359,c_359,c_359,c_359,c_359,c_359,c_314]) ).
tff(c_395,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_394]) ).
tff(c_2202,plain,
! [X7_9] : ( inverse(X7_9) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_723,c_518,c_709,c_518,c_518,c_395]) ).
tff(c_362,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_137]) ).
tff(c_499,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_362,c_460]) ).
tff(c_521,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_499]) ).
tff(c_363,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_130]) ).
tff(c_524,plain,
multiply(sk_c2,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_521,c_363]) ).
tff(c_605,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_518,c_524]) ).
tff(c_315,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c9,Z_20)) = multiply(sk_c3,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_164]) ).
tff(c_333,plain,
multiply(sk_c3,sk_c1) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_99,c_315]) ).
tff(c_523,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_521,c_333]) ).
tff(c_526,plain,
multiply(sk_c2,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_523]) ).
tff(c_618,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_605,c_526]) ).
tff(c_368,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_95]) ).
tff(c_536,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_518,c_368]) ).
tff(c_619,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_618,c_536]) ).
tff(c_2204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2202,c_619]) ).
tff(c_2205,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_10388,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2519,c_2328,c_2328,c_2,c_2328,c_2328,c_2328,c_2519,c_2328,c_2328,c_2519,c_2328,c_2328,c_2328,c_2205]) ).
tff(c_10390,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_10388]) ).
tff(c_2309,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_362,c_2270]) ).
tff(c_2331,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2309]) ).
tff(c_2334,plain,
multiply(sk_c2,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_363]) ).
tff(c_2415,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2328,c_2334]) ).
tff(c_2333,plain,
multiply(sk_c2,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_333]) ).
tff(c_2336,plain,
multiply(sk_c2,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2333]) ).
tff(c_2428,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2415,c_2336]) ).
tff(c_2346,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2328,c_368]) ).
tff(c_2429,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2428,c_2346]) ).
tff(c_10392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10390,c_2429]) ).
tff(c_10393,plain,
! [X1_10,X2_11] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_10388]) ).
tff(c_10395,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_10393]) ).
tff(c_10397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10395,c_2429]) ).
tff(c_10400,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_10393]) ).
tff(c_10402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10400,c_2429]) ).
tff(c_10404,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_10672,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10649,c_10404]) ).
tff(c_10521,plain,
! [Z_153] : ( multiply(sk_c9,multiply(sk_c1,Z_153)) = multiply(identity,Z_153) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_10476]) ).
tff(c_10614,plain,
! [Z_157] : ( multiply(sk_c9,multiply(sk_c1,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10521]) ).
tff(c_10626,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_124,c_10614]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_10449,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10404,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_10417,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10404,c_42]) ).
tff(c_10421,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10417,c_4]) ).
tff(c_10506,plain,
! [Z_153] : ( multiply(sk_c8,multiply(sk_c5,Z_153)) = multiply(identity,Z_153) ),
inference(superposition,[status(thm),theory(equality)],[c_10421,c_10476]) ).
tff(c_10705,plain,
! [Z_161] : ( multiply(sk_c8,multiply(sk_c5,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10506]) ).
tff(c_10720,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10449,c_10705]) ).
tff(c_10515,plain,
! [Z_153] : ( multiply(sk_c1,multiply(sk_c8,Z_153)) = multiply(sk_c9,Z_153) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_10476]) ).
tff(c_10728,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_10720,c_10515]) ).
tff(c_10734,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10626,c_124,c_10728]) ).
tff(c_10736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10672,c_10734]) ).
tff(c_10738,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_10789,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10738,c_54]) ).
tff(c_10751,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10738,c_56]) ).
tff(c_10755,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10751,c_4]) ).
tff(c_10817,plain,
! [X_162,Y_163,Z_164] : ( multiply(multiply(X_162,Y_163),Z_164) = multiply(X_162,multiply(Y_163,Z_164)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10850,plain,
! [Z_164] : ( multiply(sk_c8,multiply(sk_c5,Z_164)) = multiply(identity,Z_164) ),
inference(superposition,[status(thm),theory(equality)],[c_10755,c_10817]) ).
tff(c_11016,plain,
! [Z_172] : ( multiply(sk_c8,multiply(sk_c5,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10850]) ).
tff(c_11028,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10789,c_11016]) ).
tff(c_10865,plain,
! [X_2,Z_164] : ( multiply(inverse(X_2),multiply(X_2,Z_164)) = multiply(identity,Z_164) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10817]) ).
tff(c_11358,plain,
! [X_179,Z_180] : ( multiply(inverse(X_179),multiply(X_179,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10865]) ).
tff(c_11385,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_11028,c_11358]) ).
tff(c_11462,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11385]) ).
tff(c_11496,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11462,c_111]) ).
tff(c_11701,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_11496,c_2]) ).
tff(c_11494,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11462,c_10738]) ).
tff(c_11722,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11701,c_11494]) ).
tff(c_58,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_10812,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10738,c_58]) ).
tff(c_60,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_10776,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10738,c_60]) ).
tff(c_10780,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10776,c_4]) ).
tff(c_10844,plain,
! [Z_164] : ( multiply(sk_c7,multiply(sk_c6,Z_164)) = multiply(identity,Z_164) ),
inference(superposition,[status(thm),theory(equality)],[c_10780,c_10817]) ).
tff(c_11039,plain,
! [Z_173] : ( multiply(sk_c7,multiply(sk_c6,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10844]) ).
tff(c_11051,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10812,c_11039]) ).
tff(c_11379,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11051,c_11358]) ).
tff(c_11461,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11379]) ).
tff(c_10768,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_11481,plain,
multiply(sk_c9,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11461,c_10768]) ).
tff(c_11776,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11462,c_11481]) ).
tff(c_11777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11722,c_11776]) ).
tff(c_11779,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_11819,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11779,c_44]) ).
tff(c_11778,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_11783,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11778,c_4]) ).
tff(c_11857,plain,
! [Z_185] : ( multiply(sk_c7,multiply(sk_c6,Z_185)) = multiply(identity,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_11783,c_11830]) ).
tff(c_12032,plain,
! [Z_193] : ( multiply(sk_c7,multiply(sk_c6,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11857]) ).
tff(c_12044,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11819,c_12032]) ).
tff(c_11872,plain,
! [Z_185] : ( multiply(sk_c9,multiply(sk_c1,Z_185)) = multiply(identity,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_11830]) ).
tff(c_11977,plain,
! [Z_190] : ( multiply(sk_c9,multiply(sk_c1,Z_190)) = Z_190 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11872]) ).
tff(c_11989,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_124,c_11977]) ).
tff(c_11798,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10738,c_54]) ).
tff(c_11860,plain,
! [Z_185] : ( multiply(sk_c8,multiply(sk_c5,Z_185)) = multiply(identity,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_10755,c_11830]) ).
tff(c_12080,plain,
! [Z_195] : ( multiply(sk_c8,multiply(sk_c5,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11860]) ).
tff(c_12095,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11798,c_12080]) ).
tff(c_11866,plain,
! [Z_185] : ( multiply(sk_c1,multiply(sk_c8,Z_185)) = multiply(sk_c9,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_11830]) ).
tff(c_12570,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_12095,c_11866]) ).
tff(c_12576,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_11989,c_12570]) ).
tff(c_62,plain,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_11808,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10738,c_62]) ).
tff(c_12585,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12576,c_11808]) ).
tff(c_12598,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12044,c_12585]) ).
tff(c_12578,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12576,c_12095]) ).
tff(c_14426,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12598,c_12598,c_12598,c_12578]) ).
tff(c_14433,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14426,c_11888]) ).
tff(c_14440,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14433]) ).
tff(c_12693,plain,
! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11875]) ).
tff(c_13057,plain,
! [X_207,Z_208] : ( multiply(inverse(inverse(X_207)),Z_208) = multiply(X_207,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_12693,c_11888]) ).
tff(c_12750,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12693]) ).
tff(c_13064,plain,
! [X_207] : ( multiply(X_207,identity) = X_207 ),
inference(superposition,[status(thm),theory(equality)],[c_13057,c_12750]) ).
tff(c_12676,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12598,c_12598,c_12598,c_12578]) ).
tff(c_12714,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12676,c_12693]) ).
tff(c_12757,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12714]) ).
tff(c_12603,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12598,c_12576]) ).
tff(c_12103,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_12095,c_11866]) ).
tff(c_12109,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11989,c_124,c_12103]) ).
tff(c_12118,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12109,c_11808]) ).
tff(c_12131,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12044,c_12118]) ).
tff(c_12116,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12109,c_12109,c_11989]) ).
tff(c_12265,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12131,c_12131,c_12131,c_12116]) ).
tff(c_12274,plain,
! [X_198,Z_199] : ( multiply(inverse(X_198),multiply(X_198,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11875]) ).
tff(c_12292,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12265,c_12274]) ).
tff(c_12341,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12292]) ).
tff(c_10737,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_12124,plain,
inverse(sk_c4) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12109,c_10737]) ).
tff(c_12187,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12131,c_12124]) ).
tff(c_12191,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12187,c_4]) ).
tff(c_12374,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12341,c_12191]) ).
tff(c_12355,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12341,c_12187]) ).
tff(c_12413,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12374,c_12355]) ).
tff(c_12136,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12131,c_12109]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_11803,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10738,c_52]) ).
tff(c_11950,plain,
! [X4_189] :
( ( multiply(X4_189,sk_c8) != sk_c9 )
| ( inverse(X4_189) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_11957,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_11803,c_11950]) ).
tff(c_11975,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10737,c_11957]) ).
tff(c_11976,plain,
! [X6_7,X1_10,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_12099,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_11976]) ).
tff(c_12203,plain,
! [X7_197] :
( ( multiply(inverse(X7_197),sk_c7) != sk_c7 )
| ( multiply(X7_197,inverse(X7_197)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12131,c_12136,c_12131,c_12099]) ).
tff(c_12216,plain,
( ( sk_c7 != identity )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12203]) ).
tff(c_12565,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12413,c_12341,c_12341,c_2,c_12341,c_12341,c_12216]) ).
tff(c_12566,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_11976]) ).
tff(c_12624,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c7 )
| ( multiply(X2_11,sk_c7) != sk_c7 )
| ( multiply(X1_10,sk_c7) != sk_c7 )
| ( inverse(X1_10) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12603,c_12603,c_12598,c_12603,c_12603,c_12603,c_12598,c_12603,c_12598,c_12598,c_12566]) ).
tff(c_12625,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_12624]) ).
tff(c_14228,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13064,c_12757,c_12757,c_2,c_12757,c_12757,c_12625]) ).
tff(c_12594,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12576,c_107]) ).
tff(c_12634,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12598,c_12594]) ).
tff(c_12638,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12634,c_4]) ).
tff(c_12786,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12757,c_12638]) ).
tff(c_12765,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12757,c_12634]) ).
tff(c_12821,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12786,c_12765]) ).
tff(c_14230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14228,c_12821]) ).
tff(c_14231,plain,
! [X1_10,X2_11] :
( ( multiply(X1_10,sk_c7) != sk_c7 )
| ( inverse(X1_10) != sk_c7 )
| ( inverse(X2_11) != sk_c7 )
| ( multiply(X2_11,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_12624]) ).
tff(c_25465,plain,
! [X1_10,X2_11] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14716,c_14440,c_14440,c_14440,c_14440,c_14716,c_14440,c_14440,c_14231]) ).
tff(c_25467,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_25465]) ).
tff(c_14295,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12598,c_12594]) ).
tff(c_14302,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14295,c_4]) ).
tff(c_14465,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14440,c_14302]) ).
tff(c_14450,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14440,c_14295]) ).
tff(c_14526,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14465,c_14450]) ).
tff(c_25469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25467,c_14526]) ).
tff(c_25471,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_25465]) ).
tff(c_25473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25471,c_14526]) ).
tff(c_25475,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_34,plain,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_25539,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25475,c_34]) ).
tff(c_25642,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25639,c_25539]) ).
tff(c_32,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_25503,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_25475,c_32]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_25545,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25475,c_30]) ).
tff(c_25608,plain,
! [X_2,Z_347] : ( multiply(inverse(X_2),multiply(X_2,Z_347)) = multiply(identity,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25560]) ).
tff(c_25718,plain,
! [X_349,Z_350] : ( multiply(inverse(X_349),multiply(X_349,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25608]) ).
tff(c_25763,plain,
multiply(inverse(sk_c6),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25545,c_25718]) ).
tff(c_25787,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_25642,c_25503,c_25763]) ).
tff(c_25789,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_25787,c_25787,c_25642]) ).
tff(c_25621,plain,
! [X_2,Z_347] : ( multiply(inverse(X_2),multiply(X_2,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25608]) ).
tff(c_25932,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_25789,c_25621]) ).
tff(c_25938,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25932]) ).
tff(c_25952,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25938,c_25787]) ).
tff(c_25652,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25639,c_95]) ).
tff(c_25669,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25652,c_4]) ).
tff(c_26105,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25952,c_25669]) ).
tff(c_25647,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25639,c_25475]) ).
tff(c_26055,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25952,c_25952,c_25647]) ).
tff(c_26106,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26105,c_26055]) ).
tff(c_26110,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26106]) ).
tff(c_26112,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_26144,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_26112,c_54]) ).
tff(c_26111,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_26116,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26111,c_4]) ).
tff(c_26176,plain,
! [X_352,Y_353,Z_354] : ( multiply(multiply(X_352,Y_353),Z_354) = multiply(X_352,multiply(Y_353,Z_354)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26206,plain,
! [Z_354] : ( multiply(sk_c8,multiply(sk_c5,Z_354)) = multiply(identity,Z_354) ),
inference(superposition,[status(thm),theory(equality)],[c_26116,c_26176]) ).
tff(c_26675,plain,
! [Z_367] : ( multiply(sk_c8,multiply(sk_c5,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26206]) ).
tff(c_26687,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26144,c_26675]) ).
tff(c_26221,plain,
! [X_2,Z_354] : ( multiply(inverse(X_2),multiply(X_2,Z_354)) = multiply(identity,Z_354) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26176]) ).
tff(c_26711,plain,
! [X_369,Z_370] : ( multiply(inverse(X_369),multiply(X_369,Z_370)) = Z_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26221]) ).
tff(c_26732,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_26687,c_26711]) ).
tff(c_26811,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26732]) ).
tff(c_26836,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26811,c_107]) ).
tff(c_26926,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26836,c_4]) ).
tff(c_26234,plain,
! [X_2,Z_354] : ( multiply(inverse(X_2),multiply(X_2,Z_354)) = Z_354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26221]) ).
tff(c_27017,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_26926,c_26234]) ).
tff(c_27029,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27017]) ).
tff(c_26163,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_26112,c_58]) ).
tff(c_26128,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_25475,c_32]) ).
tff(c_26132,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26128,c_4]) ).
tff(c_26203,plain,
! [Z_354] : ( multiply(sk_c7,multiply(sk_c6,Z_354)) = multiply(identity,Z_354) ),
inference(superposition,[status(thm),theory(equality)],[c_26132,c_26176]) ).
tff(c_26346,plain,
! [Z_361] : ( multiply(sk_c7,multiply(sk_c6,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26203]) ).
tff(c_26358,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26163,c_26346]) ).
tff(c_26738,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26358,c_26711]) ).
tff(c_26812,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26738]) ).
tff(c_26831,plain,
multiply(identity,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_26811,c_25492]) ).
tff(c_26841,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26831]) ).
tff(c_26855,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26812,c_26841]) ).
tff(c_26830,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_26811,c_26112]) ).
tff(c_27055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27029,c_26855,c_26830]) ).
tff(c_27057,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_27102,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27057,c_40]) ).
tff(c_27065,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_27057,c_42]) ).
tff(c_27069,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27065,c_4]) ).
tff(c_27124,plain,
! [X_372,Y_373,Z_374] : ( multiply(multiply(X_372,Y_373),Z_374) = multiply(X_372,multiply(Y_373,Z_374)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27151,plain,
! [Z_374] : ( multiply(sk_c8,multiply(sk_c5,Z_374)) = multiply(identity,Z_374) ),
inference(superposition,[status(thm),theory(equality)],[c_27069,c_27124]) ).
tff(c_27273,plain,
! [Z_380] : ( multiply(sk_c8,multiply(sk_c5,Z_380)) = Z_380 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27151]) ).
tff(c_27285,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27102,c_27273]) ).
tff(c_27166,plain,
! [X_2,Z_374] : ( multiply(inverse(X_2),multiply(X_2,Z_374)) = multiply(identity,Z_374) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27124]) ).
tff(c_27343,plain,
! [X_383,Z_384] : ( multiply(inverse(X_383),multiply(X_383,Z_384)) = Z_384 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27166]) ).
tff(c_27373,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27285,c_27343]) ).
tff(c_27438,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27373]) ).
tff(c_27507,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27438,c_95]) ).
tff(c_27548,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27507,c_4]) ).
tff(c_27179,plain,
! [X_2,Z_374] : ( multiply(inverse(X_2),multiply(X_2,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27166]) ).
tff(c_27587,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_27548,c_27179]) ).
tff(c_27599,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27587]) ).
tff(c_27109,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25475,c_30]) ).
tff(c_27056,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_27061,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27056,c_4]) ).
tff(c_27154,plain,
! [Z_374] : ( multiply(sk_c7,multiply(sk_c6,Z_374)) = multiply(identity,Z_374) ),
inference(superposition,[status(thm),theory(equality)],[c_27061,c_27124]) ).
tff(c_27319,plain,
! [Z_382] : ( multiply(sk_c7,multiply(sk_c6,Z_382)) = Z_382 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27154]) ).
tff(c_27331,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27109,c_27319]) ).
tff(c_27361,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27331,c_27343]) ).
tff(c_27437,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27361]) ).
tff(c_27458,plain,
multiply(sk_c1,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_27437,c_25475]) ).
tff(c_27583,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27438,c_27458]) ).
tff(c_27603,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27599,c_27583]) ).
tff(c_27608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27603]) ).
tff(c_27610,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_72,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_27670,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_27610,c_72]) ).
tff(c_27609,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_27614,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27609,c_4]) ).
tff(c_27726,plain,
! [Z_389] : ( multiply(sk_c7,multiply(sk_c6,Z_389)) = multiply(identity,Z_389) ),
inference(superposition,[status(thm),theory(equality)],[c_27614,c_27693]) ).
tff(c_27769,plain,
! [Z_391] : ( multiply(sk_c7,multiply(sk_c6,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27726]) ).
tff(c_27781,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27670,c_27769]) ).
tff(c_68,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_27661,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27610,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_27622,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_27610,c_70]) ).
tff(c_27626,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27622,c_4]) ).
tff(c_27723,plain,
! [Z_389] : ( multiply(sk_c8,multiply(sk_c5,Z_389)) = multiply(identity,Z_389) ),
inference(superposition,[status(thm),theory(equality)],[c_27626,c_27693]) ).
tff(c_27892,plain,
! [Z_396] : ( multiply(sk_c8,multiply(sk_c5,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27723]) ).
tff(c_27904,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27661,c_27892]) ).
tff(c_76,plain,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_27650,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_27610,c_76]) ).
tff(c_27856,plain,
! [Z_395] : ( multiply(sk_c6,multiply(sk_c7,Z_395)) = multiply(sk_c8,Z_395) ),
inference(superposition,[status(thm),theory(equality)],[c_27670,c_27693]) ).
tff(c_27877,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_27650,c_27856]) ).
tff(c_27915,plain,
multiply(sk_c6,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27904,c_27877]) ).
tff(c_27742,plain,
! [Z_389] : ( multiply(sk_c7,multiply(sk_c6,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27726]) ).
tff(c_27919,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27915,c_27742]) ).
tff(c_27925,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27781,c_27919]) ).
tff(c_27937,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27925,c_27650]) ).
tff(c_30504,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27937,c_30477]) ).
tff(c_30553,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30504]) ).
tff(c_27871,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_27781,c_27856]) ).
tff(c_27884,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27670,c_27871]) ).
tff(c_27930,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27925,c_27925,c_27925,c_27884]) ).
tff(c_30501,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27930,c_30477]) ).
tff(c_30552,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30501]) ).
tff(c_28002,plain,
! [X_397,Z_398] : ( multiply(inverse(X_397),multiply(X_397,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27732]) ).
tff(c_28392,plain,
! [X_402,Z_403] : ( multiply(inverse(inverse(X_402)),Z_403) = multiply(X_402,Z_403) ),
inference(superposition,[status(thm),theory(equality)],[c_28002,c_27744]) ).
tff(c_28413,plain,
! [X_402] : ( multiply(X_402,inverse(X_402)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_28392,c_4]) ).
tff(c_28026,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27930,c_28002]) ).
tff(c_28079,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28026]) ).
tff(c_28071,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28002]) ).
tff(c_28399,plain,
! [X_402] : ( multiply(X_402,identity) = X_402 ),
inference(superposition,[status(thm),theory(equality)],[c_28392,c_28071]) ).
tff(c_28035,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27937,c_28002]) ).
tff(c_28081,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28035]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_27635,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27610,c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_27676,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27610,c_66]) ).
tff(c_27829,plain,
! [X4_394] :
( ( multiply(X4_394,sk_c8) != sk_c9 )
| ( inverse(X4_394) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_27839,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27676,c_27829]) ).
tff(c_27854,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27635,c_27839]) ).
tff(c_27855,plain,
! [X6_7,X1_10,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_27944,plain,
! [X6_7,X1_10,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( multiply(X1_10,sk_c7) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c7 )
| ( multiply(X2_11,sk_c7) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c7 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27925,c_27925,c_27925,c_27925,c_27925,c_27925,c_27855]) ).
tff(c_27945,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c7 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_27944]) ).
tff(c_30422,plain,
! [X7_9] : ( inverse(X7_9) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_28413,c_28079,c_28399,c_28081,c_28079,c_27945]) ).
tff(c_27939,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27925,c_27622]) ).
tff(c_28091,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28079,c_27939]) ).
tff(c_28188,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28091,c_4]) ).
tff(c_28211,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28188,c_27744]) ).
tff(c_28223,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28211]) ).
tff(c_28227,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28223,c_28091]) ).
tff(c_30424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30422,c_28227]) ).
tff(c_30425,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c7 )
| ( multiply(X2_11,sk_c7) != sk_c9 )
| ( multiply(X1_10,sk_c7) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_27944]) ).
tff(c_54009,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30833,c_30553,c_2,c_30553,c_30552,c_30553,c_30553,c_30833,c_30553,c_30552,c_30833,c_30553,c_30552,c_30552,c_30425]) ).
tff(c_54011,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_54009]) ).
tff(c_27938,plain,
multiply(sk_c7,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27925,c_27626]) ).
tff(c_30677,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30552,c_27938]) ).
tff(c_30562,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30552,c_27939]) ).
tff(c_30678,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30677,c_30562]) ).
tff(c_54013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54011,c_30678]) ).
tff(c_54014,plain,
! [X1_10,X2_11] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_54009]) ).
tff(c_54016,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_54014]) ).
tff(c_54018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54016,c_30678]) ).
tff(c_55186,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_54014]) ).
tff(c_55188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55186,c_30678]) ).
tff(c_55190,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_55253,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_55190,c_12]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_55227,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_55190,c_14]) ).
tff(c_55231,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55227,c_4]) ).
tff(c_55312,plain,
! [Z_614] : ( multiply(sk_c8,multiply(sk_c5,Z_614)) = multiply(identity,Z_614) ),
inference(superposition,[status(thm),theory(equality)],[c_55231,c_55285]) ).
tff(c_55338,plain,
! [Z_615] : ( multiply(sk_c8,multiply(sk_c5,Z_615)) = Z_615 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55312]) ).
tff(c_55350,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55253,c_55338]) ).
tff(c_55784,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_55350,c_55751]) ).
tff(c_55837,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55784]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_55258,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_55190,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_55214,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_55190,c_18]) ).
tff(c_55218,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55214,c_4]) ).
tff(c_55315,plain,
! [Z_614] : ( multiply(sk_c7,multiply(sk_c6,Z_614)) = multiply(identity,Z_614) ),
inference(superposition,[status(thm),theory(equality)],[c_55218,c_55285]) ).
tff(c_55430,plain,
! [Z_619] : ( multiply(sk_c7,multiply(sk_c6,Z_619)) = Z_619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55315]) ).
tff(c_55442,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_55258,c_55430]) ).
tff(c_55778,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55442,c_55751]) ).
tff(c_55836,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55778]) ).
tff(c_55490,plain,
! [X_622,Z_623] : ( multiply(inverse(X_622),multiply(X_622,Z_623)) = Z_623 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55324]) ).
tff(c_55571,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_55490]) ).
tff(c_55517,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_55442,c_55490]) ).
tff(c_55575,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55517]) ).
tff(c_55523,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_55350,c_55490]) ).
tff(c_55576,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55523]) ).
tff(c_55189,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_55246,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_55190,c_10]) ).
tff(c_55401,plain,
! [X4_618] :
( ( multiply(X4_618,sk_c8) != sk_c9 )
| ( inverse(X4_618) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_55414,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_55246,c_55401]) ).
tff(c_55428,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55189,c_55414]) ).
tff(c_55429,plain,
! [X6_7,X1_10,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_55489,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c8 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_55429]) ).
tff(c_55688,plain,
! [X7_625] :
( ( multiply(inverse(X7_625),identity) != identity )
| ( multiply(X7_625,inverse(X7_625)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55575,c_55576,c_55575,c_55489]) ).
tff(c_55697,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_55571,c_55688]) ).
tff(c_55710,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55697]) ).
tff(c_55604,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55576,c_55189]) ).
tff(c_55651,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55604,c_4]) ).
tff(c_55730,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_55651,c_55336]) ).
tff(c_55742,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55730]) ).
tff(c_55746,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55742,c_55604]) ).
tff(c_55749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55710,c_55746]) ).
tff(c_55750,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( multiply(X1_10,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_55429]) ).
tff(c_55880,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55837,c_2,c_55837,c_55836,c_55837,c_55837,c_55837,c_55836,c_55837,c_55836,c_55836,c_55750]) ).
tff(c_55881,plain,
! [X6_7] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_55880]) ).
tff(c_56545,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_56158,c_55881]) ).
tff(c_55865,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55837,c_55189]) ).
tff(c_55888,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55865,c_4]) ).
tff(c_55905,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_55888,c_55336]) ).
tff(c_55917,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_55905]) ).
tff(c_55921,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55917,c_55865]) ).
tff(c_56547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56545,c_55921]) ).
tff(c_56548,plain,
! [X1_10,X2_11] :
( ( multiply(X1_10,identity) != identity )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_55880]) ).
tff(c_66273,plain,
! [X1_10,X2_11] :
( ( identity != X1_10 )
| ( inverse(X1_10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56796,c_56796,c_56548]) ).
tff(c_66275,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_66273]) ).
tff(c_55854,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55836,c_55227]) ).
tff(c_55876,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55854,c_4]) ).
tff(c_56639,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_55876,c_55336]) ).
tff(c_56651,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56639]) ).
tff(c_56655,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56651,c_55854]) ).
tff(c_66277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66275,c_56655]) ).
tff(c_66279,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_66273]) ).
tff(c_66281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66279,c_56655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP225-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14 % 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 : n023.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:36:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 15.96/6.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.06/6.55
% 16.06/6.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.06/6.62
% 16.06/6.62 Inference rules
% 16.06/6.62 ----------------------
% 16.06/6.62 #Ref : 0
% 16.06/6.62 #Sup : 16167
% 16.06/6.62 #Fact : 0
% 16.06/6.62 #Define : 0
% 16.06/6.62 #Split : 36
% 16.06/6.62 #Chain : 0
% 16.06/6.62 #Close : 0
% 16.06/6.62
% 16.06/6.62 Ordering : KBO
% 16.06/6.62
% 16.06/6.62 Simplification rules
% 16.06/6.62 ----------------------
% 16.06/6.62 #Subsume : 8
% 16.06/6.62 #Demod : 44854
% 16.06/6.62 #Tautology : 13150
% 16.06/6.62 #SimpNegUnit : 82
% 16.06/6.62 #BackRed : 553
% 16.06/6.62
% 16.06/6.62 #Partial instantiations: 0
% 16.06/6.62 #Strategies tried : 1
% 16.06/6.62
% 16.06/6.62 Timing (in seconds)
% 16.06/6.62 ----------------------
% 16.06/6.63 Preprocessing : 0.52
% 16.06/6.63 Parsing : 0.20
% 16.06/6.63 CNF conversion : 0.03
% 16.06/6.63 Main loop : 4.96
% 16.06/6.63 Inferencing : 1.39
% 16.06/6.63 Reduction : 2.73
% 16.06/6.63 Demodulation : 2.47
% 16.06/6.63 BG Simplification : 0.13
% 16.06/6.63 Subsumption : 0.46
% 16.06/6.63 Abstraction : 0.30
% 16.06/6.63 MUC search : 0.00
% 16.06/6.63 Cooper : 0.00
% 16.06/6.63 Total : 5.61
% 16.06/6.63 Index Insertion : 0.00
% 16.06/6.63 Index Deletion : 0.00
% 16.06/6.63 Index Matching : 0.00
% 16.06/6.63 BG Taut test : 0.00
%------------------------------------------------------------------------------