TSTP Solution File: GRP321-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP321-1 : 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 : n013.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 10:40:55 EDT 2023
% Result : Unsatisfiable 17.08s 7.42s
% Output : CNFRefutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 40
% Syntax : Number of formulae : 684 ( 590 unt; 11 typ; 0 def)
% Number of atoms : 882 ( 849 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 460 ( 251 ~; 209 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 345 (; 345 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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_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_68,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( multiply(sk_c8,X4) != sk_c7 )
| ( multiply(X5,sk_c8) != X4 )
| ( inverse(X5) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
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_56380,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_56413,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_56380]) ).
tff(c_57816,plain,
! [X_642,Z_643] : ( multiply(inverse(X_642),multiply(X_642,Z_643)) = Z_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56413]) ).
tff(c_56424,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_56413]) ).
tff(c_58026,plain,
! [X_646,Z_647] : ( multiply(inverse(inverse(X_646)),Z_647) = multiply(X_646,Z_647) ),
inference(superposition,[status(thm),theory(equality)],[c_57816,c_56424]) ).
tff(c_57855,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57816]) ).
tff(c_58033,plain,
! [X_646] : ( multiply(X_646,identity) = X_646 ),
inference(superposition,[status(thm),theory(equality)],[c_58026,c_57855]) ).
tff(c_37129,plain,
! [X_440,Y_441,Z_442] : ( multiply(multiply(X_440,Y_441),Z_442) = multiply(X_440,multiply(Y_441,Z_442)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37162,plain,
! [X_2,Z_442] : ( multiply(inverse(X_2),multiply(X_2,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37129]) ).
tff(c_38077,plain,
! [X_463,Z_464] : ( multiply(inverse(X_463),multiply(X_463,Z_464)) = Z_464 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37162]) ).
tff(c_37173,plain,
! [X_2,Z_442] : ( multiply(inverse(X_2),multiply(X_2,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37162]) ).
tff(c_38306,plain,
! [X_467,Z_468] : ( multiply(inverse(inverse(X_467)),Z_468) = multiply(X_467,Z_468) ),
inference(superposition,[status(thm),theory(equality)],[c_38077,c_37173]) ).
tff(c_38122,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38077]) ).
tff(c_38313,plain,
! [X_467] : ( multiply(X_467,identity) = X_467 ),
inference(superposition,[status(thm),theory(equality)],[c_38306,c_38122]) ).
tff(c_17269,plain,
! [X_212,Y_213,Z_214] : ( multiply(multiply(X_212,Y_213),Z_214) = multiply(X_212,multiply(Y_213,Z_214)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17308,plain,
! [X_2,Z_214] : ( multiply(inverse(X_2),multiply(X_2,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17269]) ).
tff(c_17320,plain,
! [X_2,Z_214] : ( multiply(inverse(X_2),multiply(X_2,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17308]) ).
tff(c_18308,plain,
! [X_238,Z_239] : ( multiply(inverse(X_238),multiply(X_238,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17308]) ).
tff(c_18653,plain,
! [X_242,Z_243] : ( multiply(inverse(inverse(X_242)),Z_243) = multiply(X_242,Z_243) ),
inference(superposition,[status(thm),theory(equality)],[c_17320,c_18308]) ).
tff(c_18335,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18308]) ).
tff(c_18660,plain,
! [X_242] : ( multiply(X_242,identity) = X_242 ),
inference(superposition,[status(thm),theory(equality)],[c_18653,c_18335]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_111,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_14345,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_14394,plain,
! [X_156,Y_157,Z_158] : ( multiply(multiply(X_156,Y_157),Z_158) = multiply(X_156,multiply(Y_157,Z_158)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14433,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c1,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14394]) ).
tff(c_14589,plain,
! [Z_164] : ( multiply(sk_c7,multiply(sk_c1,Z_164)) = Z_164 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14433]) ).
tff(c_14601,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14345,c_14589]) ).
tff(c_14605,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14601]) ).
tff(c_14615,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14605,c_111]) ).
tff(c_14439,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14394]) ).
tff(c_14698,plain,
! [X_165,Z_166] : ( multiply(inverse(X_165),multiply(X_165,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14439]) ).
tff(c_14734,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14615,c_14698]) ).
tff(c_14773,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14734]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_14786,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14773,c_85]) ).
tff(c_14863,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14786,c_4]) ).
tff(c_14451,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14439]) ).
tff(c_14921,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_14863,c_14451]) ).
tff(c_14933,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14921]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_117,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_14614,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14605,c_117]) ).
tff(c_14778,plain,
multiply(identity,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14773,c_14614]) ).
tff(c_14787,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14778]) ).
tff(c_153,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_186,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153]) ).
tff(c_196,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_495,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_771,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_495]) ).
tff(c_546,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_495]) ).
tff(c_778,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_771,c_546]) ).
tff(c_127,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_180,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_153]) ).
tff(c_198,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_127,c_198]) ).
tff(c_214,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_210]) ).
tff(c_218,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_111]) ).
tff(c_528,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_218,c_495]) ).
tff(c_554,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_528]) ).
tff(c_217,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_117]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_122,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_183,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_153]) ).
tff(c_478,plain,
! [Z_20] : ( multiply(sk_c8,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_490,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_122,c_478]) ).
tff(c_494,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_217,c_490]) ).
tff(c_570,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_494]) ).
tff(c_265,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_277,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_122,c_265]) ).
tff(c_281,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_217,c_277]) ).
tff(c_286,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_218]) ).
tff(c_393,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_286,c_196]) ).
tff(c_399,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_393]) ).
tff(c_68,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_240,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(sk_c6,sk_c6) != sk_c8 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_68]) ).
tff(c_241,plain,
multiply(sk_c6,sk_c6) != sk_c8,
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_285,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_241]) ).
tff(c_445,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_399,c_285]) ).
tff(c_446,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_8636,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_778,c_570,c_570,c_570,c_778,c_570,c_554,c_554,c_778,c_570,c_554,c_2,c_554,c_554,c_778,c_570,c_554,c_570,c_446]) ).
tff(c_8638,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8636]) ).
tff(c_220,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_98]) ).
tff(c_612,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_570,c_220]) ).
tff(c_639,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_612,c_4]) ).
tff(c_685,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_639,c_196]) ).
tff(c_697,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_685]) ).
tff(c_702,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_697,c_612]) ).
tff(c_8640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8638,c_702]) ).
tff(c_8641,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_8636]) ).
tff(c_13540,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8641]) ).
tff(c_13542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13540,c_702]) ).
tff(c_13543,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_8641]) ).
tff(c_13545,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_13543]) ).
tff(c_13547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13545,c_702]) ).
tff(c_13550,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_13543]) ).
tff(c_13552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13550,c_702]) ).
tff(c_13554,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_24,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_13567,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13554,c_24]) ).
tff(c_22,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_13604,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13554,c_22]) ).
tff(c_13610,plain,
! [X_146,Y_147,Z_148] : ( multiply(multiply(X_146,Y_147),Z_148) = multiply(X_146,multiply(Y_147,Z_148)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13655,plain,
! [X_2,Z_148] : ( multiply(inverse(X_2),multiply(X_2,Z_148)) = multiply(identity,Z_148) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13610]) ).
tff(c_13879,plain,
! [X_152,Z_153] : ( multiply(inverse(X_152),multiply(X_152,Z_153)) = Z_153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13655]) ).
tff(c_13927,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13604,c_13879]) ).
tff(c_13951,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13567,c_13927]) ).
tff(c_13667,plain,
! [X_2,Z_148] : ( multiply(inverse(X_2),multiply(X_2,Z_148)) = Z_148 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13655]) ).
tff(c_13962,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13951,c_13667]) ).
tff(c_13968,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13962]) ).
tff(c_13652,plain,
! [Z_148] : ( multiply(sk_c8,multiply(sk_c2,Z_148)) = multiply(identity,Z_148) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_13610]) ).
tff(c_13682,plain,
! [Z_150] : ( multiply(sk_c8,multiply(sk_c2,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13652]) ).
tff(c_13694,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_122,c_13682]) ).
tff(c_13698,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_13694]) ).
tff(c_13811,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13698,c_111]) ).
tff(c_13972,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13968,c_13811]) ).
tff(c_13553,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_13808,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13698,c_13553]) ).
tff(c_18,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_13599,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13554,c_18]) ).
tff(c_13804,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13698,c_13599]) ).
tff(c_13983,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13804,c_13667]) ).
tff(c_13989,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13808,c_13983]) ).
tff(c_14079,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13972,c_13989]) ).
tff(c_14095,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14079,c_102]) ).
tff(c_14188,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_14095,c_13667]) ).
tff(c_14200,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14188]) ).
tff(c_13807,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13698,c_13554]) ).
tff(c_14086,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14079,c_14079,c_13807]) ).
tff(c_14331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14200,c_14086]) ).
tff(c_14333,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_14374,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14333,c_56]) ).
tff(c_14610,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14605,c_14374]) ).
tff(c_14332,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_14613,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14605,c_14332]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_14381,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14333,c_52]) ).
tff(c_14609,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14605,c_14381]) ).
tff(c_14722,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14609,c_14698]) ).
tff(c_14771,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14610,c_14613,c_14722]) ).
tff(c_14842,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14787,c_14773,c_14771]) ).
tff(c_14784,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14773,c_14333]) ).
tff(c_15008,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14933,c_14842,c_14784]) ).
tff(c_15010,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_15041,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15010,c_18]) ).
tff(c_15009,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_15014,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15009,c_4]) ).
tff(c_15060,plain,
! [X_169,Y_170,Z_171] : ( multiply(multiply(X_169,Y_170),Z_171) = multiply(X_169,multiply(Y_170,Z_171)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15084,plain,
! [Z_171] : ( multiply(sk_c8,multiply(sk_c4,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_15014,c_15060]) ).
tff(c_15142,plain,
! [Z_174] : ( multiply(sk_c8,multiply(sk_c4,Z_174)) = Z_174 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15084]) ).
tff(c_15154,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15041,c_15142]) ).
tff(c_15102,plain,
! [X_2,Z_171] : ( multiply(inverse(X_2),multiply(X_2,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15060]) ).
tff(c_15492,plain,
! [X_181,Z_182] : ( multiply(inverse(X_181),multiply(X_181,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15102]) ).
tff(c_15516,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15154,c_15492]) ).
tff(c_15578,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15516]) ).
tff(c_15650,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15578,c_102]) ).
tff(c_15114,plain,
! [X_2,Z_171] : ( multiply(inverse(X_2),multiply(X_2,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15102]) ).
tff(c_15752,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_15650,c_15114]) ).
tff(c_15764,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15752]) ).
tff(c_15051,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14333,c_52]) ).
tff(c_14337,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14332,c_4]) ).
tff(c_15087,plain,
! [Z_171] : ( multiply(sk_c7,multiply(sk_c5,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_14337,c_15060]) ).
tff(c_15165,plain,
! [Z_175] : ( multiply(sk_c7,multiply(sk_c5,Z_175)) = Z_175 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15087]) ).
tff(c_15177,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15051,c_15165]) ).
tff(c_15510,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15177,c_15492]) ).
tff(c_15577,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15510]) ).
tff(c_15036,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14333,c_56]) ).
tff(c_15587,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_15577,c_15036]) ).
tff(c_15589,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15587]) ).
tff(c_15635,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15589,c_15010]) ).
tff(c_15836,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15764,c_15578,c_15578,c_15635]) ).
tff(c_15838,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_38,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_16308,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15838,c_38]) ).
tff(c_15837,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_15842,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15837,c_4]) ).
tff(c_16334,plain,
! [X_192,Y_193,Z_194] : ( multiply(multiply(X_192,Y_193),Z_194) = multiply(X_192,multiply(Y_193,Z_194)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16364,plain,
! [Z_194] : ( multiply(sk_c8,multiply(sk_c4,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_15842,c_16334]) ).
tff(c_16740,plain,
! [Z_204] : ( multiply(sk_c8,multiply(sk_c4,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16364]) ).
tff(c_16752,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16308,c_16740]) ).
tff(c_16376,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16334]) ).
tff(c_16883,plain,
! [X_208,Z_209] : ( multiply(inverse(X_208),multiply(X_208,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16376]) ).
tff(c_16922,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16752,c_16883]) ).
tff(c_16990,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16922]) ).
tff(c_15850,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_16373,plain,
! [Z_194] : ( multiply(sk_c8,multiply(sk_c2,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_16334]) ).
tff(c_16403,plain,
! [Z_196] : ( multiply(sk_c8,multiply(sk_c2,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16373]) ).
tff(c_16415,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15850,c_16403]) ).
tff(c_16419,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16415,c_15838]) ).
tff(c_17053,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16990,c_16419]) ).
tff(c_17063,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16990,c_98]) ).
tff(c_17082,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17063,c_4]) ).
tff(c_16388,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16376]) ).
tff(c_17115,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_17082,c_16388]) ).
tff(c_17127,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17115]) ).
tff(c_17131,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17127,c_17063]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_16314,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15838,c_42]) ).
tff(c_15857,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_15904,plain,
! [X_184,Y_185,Z_186] : ( multiply(multiply(X_184,Y_185),Z_186) = multiply(X_184,multiply(Y_185,Z_186)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15943,plain,
! [Z_186] : ( multiply(sk_c7,multiply(sk_c1,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_15904]) ).
tff(c_15963,plain,
! [Z_187] : ( multiply(sk_c7,multiply(sk_c1,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15943]) ).
tff(c_15975,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15857,c_15963]) ).
tff(c_15979,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_15975]) ).
tff(c_16002,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(sk_c6,sk_c6) != sk_c8 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15979,c_15979,c_15979,c_15979,c_15979,c_15979,c_15979,c_15979,c_68]) ).
tff(c_16003,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_16002]) ).
tff(c_15988,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15979,c_111]) ).
tff(c_16011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16003,c_15988]) ).
tff(c_16013,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_16002]) ).
tff(c_15949,plain,
! [X_2,Z_186] : ( multiply(inverse(X_2),multiply(X_2,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15904]) ).
tff(c_16045,plain,
! [X_188,Z_189] : ( multiply(inverse(X_188),multiply(X_188,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15949]) ).
tff(c_16066,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16013,c_16045]) ).
tff(c_16104,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16066]) ).
tff(c_16110,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16104,c_15837]) ).
tff(c_15880,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15838,c_38]) ).
tff(c_15983,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15979,c_15880]) ).
tff(c_16153,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16104,c_15983]) ).
tff(c_15961,plain,
! [X_2,Z_186] : ( multiply(inverse(X_2),multiply(X_2,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15949]) ).
tff(c_16157,plain,
multiply(inverse(sk_c4),sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16153,c_15961]) ).
tff(c_16163,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16110,c_16157]) ).
tff(c_16081,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15850,c_16045]) ).
tff(c_16105,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_16081]) ).
tff(c_16148,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16104,c_2,c_16104,c_16105]) ).
tff(c_15987,plain,
multiply(sk_c8,sk_c3) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15979,c_15838]) ).
tff(c_16285,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16163,c_16148,c_2,c_16104,c_15987]) ).
tff(c_16286,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_16291,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16286,c_4]) ).
tff(c_16358,plain,
! [Z_194] : ( multiply(sk_c7,multiply(sk_c5,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_16291,c_16334]) ).
tff(c_16763,plain,
! [Z_205] : ( multiply(sk_c7,multiply(sk_c5,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16358]) ).
tff(c_16775,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16314,c_16763]) ).
tff(c_16913,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16775,c_16883]) ).
tff(c_16988,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16913]) ).
tff(c_16367,plain,
! [Z_194] : ( multiply(sk_c7,multiply(sk_c8,Z_194)) = multiply(sk_c6,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_16334]) ).
tff(c_17169,plain,
! [Z_211] : ( multiply(sk_c8,Z_211) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16988,c_2,c_16990,c_16367]) ).
tff(c_17187,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_17169,c_15842]) ).
tff(c_17211,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17187,c_15837]) ).
tff(c_17214,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17131,c_17211]) ).
tff(c_17216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17053,c_17214]) ).
tff(c_17218,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_17242,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17218,c_56]) ).
tff(c_17247,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15838,c_38]) ).
tff(c_17296,plain,
! [Z_214] : ( multiply(sk_c8,multiply(sk_c4,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_15842,c_17269]) ).
tff(c_17513,plain,
! [Z_222] : ( multiply(sk_c8,multiply(sk_c4,Z_222)) = Z_222 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17296]) ).
tff(c_17525,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17247,c_17513]) ).
tff(c_17299,plain,
! [Z_214] : ( multiply(sk_c7,multiply(sk_c8,Z_214)) = multiply(sk_c6,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_17269]) ).
tff(c_17557,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_17525,c_17299]) ).
tff(c_17563,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_17242,c_17557]) ).
tff(c_17575,plain,
multiply(sk_c7,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17563,c_111]) ).
tff(c_17252,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15838,c_42]) ).
tff(c_17217,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_17222,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17217,c_4]) ).
tff(c_17293,plain,
! [Z_214] : ( multiply(sk_c7,multiply(sk_c5,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_17222,c_17269]) ).
tff(c_17490,plain,
! [Z_221] : ( multiply(sk_c7,multiply(sk_c5,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17293]) ).
tff(c_17502,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17252,c_17490]) ).
tff(c_18287,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17575,c_17502]) ).
tff(c_17565,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17563,c_17563,c_17525]) ).
tff(c_18296,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18287,c_17565]) ).
tff(c_18459,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18296,c_17320]) ).
tff(c_18466,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18459]) ).
tff(c_18479,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18466,c_18287]) ).
tff(c_17671,plain,
! [X_224,Z_225] : ( multiply(inverse(X_224),multiply(X_224,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17308]) ).
tff(c_17897,plain,
! [X_228,Z_229] : ( multiply(inverse(inverse(X_228)),Z_229) = multiply(X_228,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_17671,c_17320]) ).
tff(c_17716,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17671]) ).
tff(c_17904,plain,
! [X_228] : ( multiply(X_228,identity) = X_228 ),
inference(superposition,[status(thm),theory(equality)],[c_17897,c_17716]) ).
tff(c_17605,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17575,c_17502]) ).
tff(c_17614,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17605,c_17565]) ).
tff(c_17689,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17614,c_17671]) ).
tff(c_17723,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17689]) ).
tff(c_17732,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17723,c_17605]) ).
tff(c_17374,plain,
! [Z_218] : ( multiply(sk_c8,multiply(sk_c4,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17296]) ).
tff(c_17386,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17247,c_17374]) ).
tff(c_17418,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_17386,c_17299]) ).
tff(c_17424,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17242,c_111,c_17418]) ).
tff(c_17349,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_17242,c_68]) ).
tff(c_17350,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_17349]) ).
tff(c_17465,plain,
! [X3_220] :
( ( inverse(X3_220) != sk_c7 )
| ( multiply(X3_220,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17424,c_17350]) ).
tff(c_17475,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17252,c_17465]) ).
tff(c_17488,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17217,c_17475]) ).
tff(c_17489,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_17349]) ).
tff(c_17603,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17563,c_17563,c_17563,c_17563,c_17563,c_17489]) ).
tff(c_17604,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_17603]) ).
tff(c_18283,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17904,c_17732,c_17723,c_17732,c_17604]) ).
tff(c_17577,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17563,c_85]) ).
tff(c_17592,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17577,c_4]) ).
tff(c_17746,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17723,c_17592]) ).
tff(c_17733,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17723,c_17577]) ).
tff(c_17785,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17746,c_17733]) ).
tff(c_18285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18283,c_17785]) ).
tff(c_18286,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17603]) ).
tff(c_34303,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18660,c_18479,c_18466,c_2,c_18466,c_18466,c_18660,c_18479,c_18466,c_18466,c_18286]) ).
tff(c_34305,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_34303]) ).
tff(c_18301,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18287,c_17217]) ).
tff(c_18358,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18301,c_4]) ).
tff(c_18490,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18466,c_18358]) ).
tff(c_18477,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18466,c_18301]) ).
tff(c_18534,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18490,c_18477]) ).
tff(c_34307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34305,c_18534]) ).
tff(c_34309,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_34303]) ).
tff(c_34311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34309,c_18534]) ).
tff(c_34313,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_34327,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34313,c_14]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_34354,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_34750,plain,
! [X_384,Y_385,Z_386] : ( multiply(multiply(X_384,Y_385),Z_386) = multiply(X_384,multiply(Y_385,Z_386)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34789,plain,
! [Z_386] : ( multiply(sk_c8,multiply(sk_c2,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_34750]) ).
tff(c_34832,plain,
! [Z_388] : ( multiply(sk_c8,multiply(sk_c2,Z_388)) = Z_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34789]) ).
tff(c_34844,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34354,c_34832]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_34360,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34313,c_12]) ).
tff(c_34385,plain,
! [X_376,Y_377,Z_378] : ( multiply(multiply(X_376,Y_377),Z_378) = multiply(X_376,multiply(Y_377,Z_378)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34430,plain,
! [X_2,Z_378] : ( multiply(inverse(X_2),multiply(X_2,Z_378)) = multiply(identity,Z_378) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34385]) ).
tff(c_34554,plain,
! [X_381,Z_382] : ( multiply(inverse(X_381),multiply(X_381,Z_382)) = Z_382 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34430]) ).
tff(c_34599,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34360,c_34554]) ).
tff(c_34624,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34327,c_34599]) ).
tff(c_34442,plain,
! [X_2,Z_378] : ( multiply(inverse(X_2),multiply(X_2,Z_378)) = Z_378 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34430]) ).
tff(c_34635,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34624,c_34442]) ).
tff(c_34641,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34635]) ).
tff(c_34359,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_34424,plain,
! [Z_378] : ( multiply(sk_c7,multiply(sk_c1,Z_378)) = multiply(identity,Z_378) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_34385]) ).
tff(c_34444,plain,
! [Z_379] : ( multiply(sk_c7,multiply(sk_c1,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34424]) ).
tff(c_34456,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34359,c_34444]) ).
tff(c_34460,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34456,c_34313]) ).
tff(c_34644,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34641,c_34460]) ).
tff(c_34374,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_34427,plain,
! [Z_378] : ( multiply(sk_c8,multiply(sk_c2,Z_378)) = multiply(identity,Z_378) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_34385]) ).
tff(c_34468,plain,
! [Z_380] : ( multiply(sk_c8,multiply(sk_c2,Z_380)) = Z_380 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34427]) ).
tff(c_34480,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34354,c_34468]) ).
tff(c_34484,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34374,c_34480]) ).
tff(c_34488,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34484,c_34456]) ).
tff(c_34732,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34488,c_34442]) ).
tff(c_34738,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34732]) ).
tff(c_34740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34644,c_34738]) ).
tff(c_34742,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34848,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34844,c_34742]) ).
tff(c_34331,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34327,c_4]) ).
tff(c_34780,plain,
! [Z_386] : ( multiply(sk_c7,multiply(sk_c5,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_34331,c_34750]) ).
tff(c_34892,plain,
! [Z_390] : ( multiply(sk_c7,multiply(sk_c5,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34780]) ).
tff(c_34907,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34360,c_34892]) ).
tff(c_34792,plain,
! [X_2,Z_386] : ( multiply(inverse(X_2),multiply(X_2,Z_386)) = multiply(identity,Z_386) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34750]) ).
tff(c_34945,plain,
! [X_392,Z_393] : ( multiply(inverse(X_392),multiply(X_392,Z_393)) = Z_393 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34792]) ).
tff(c_34969,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34907,c_34945]) ).
tff(c_35043,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34969]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_34349,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34313,c_16]) ).
tff(c_35060,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35043,c_34349]) ).
tff(c_35061,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35060]) ).
tff(c_35063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34848,c_35061]) ).
tff(c_35064,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_35090,plain,
! [X_394,Y_395,Z_396] : ( multiply(multiply(X_394,Y_395),Z_396) = multiply(X_394,multiply(Y_395,Z_396)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35132,plain,
! [X_2,Z_396] : ( multiply(inverse(X_2),multiply(X_2,Z_396)) = multiply(identity,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35090]) ).
tff(c_35504,plain,
! [X_403,Z_404] : ( multiply(inverse(X_403),multiply(X_403,Z_404)) = Z_404 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35132]) ).
tff(c_35543,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35064,c_35504]) ).
tff(c_35567,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34327,c_35543]) ).
tff(c_35144,plain,
! [X_2,Z_396] : ( multiply(inverse(X_2),multiply(X_2,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35132]) ).
tff(c_35578,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35567,c_35144]) ).
tff(c_35584,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35578]) ).
tff(c_35074,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_35129,plain,
! [Z_396] : ( multiply(sk_c8,multiply(sk_c2,Z_396)) = multiply(identity,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_35090]) ).
tff(c_35159,plain,
! [Z_398] : ( multiply(sk_c8,multiply(sk_c2,Z_398)) = Z_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35129]) ).
tff(c_35171,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34354,c_35159]) ).
tff(c_35175,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35074,c_35171]) ).
tff(c_35183,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35175,c_34313]) ).
tff(c_35587,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35584,c_35183]) ).
tff(c_34312,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_35184,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35175,c_34312]) ).
tff(c_35065,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_35080,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35065,c_18]) ).
tff(c_35177,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35175,c_35080]) ).
tff(c_35370,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35177,c_35144]) ).
tff(c_35376,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35184,c_35370]) ).
tff(c_35245,plain,
! [X_399,Z_400] : ( multiply(inverse(X_399),multiply(X_399,Z_400)) = Z_400 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35132]) ).
tff(c_35290,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35064,c_35245]) ).
tff(c_35314,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34327,c_35290]) ).
tff(c_35325,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35314,c_35144]) ).
tff(c_35331,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35325]) ).
tff(c_35205,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35175,c_35175,c_35175,c_35175,c_35175,c_35175,c_35175,c_35175,c_68]) ).
tff(c_35206,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_35205]) ).
tff(c_35335,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35331,c_35206]) ).
tff(c_35427,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35376,c_35335]) ).
tff(c_35178,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35175,c_35074]) ).
tff(c_35272,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_35178,c_35245]) ).
tff(c_35312,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35272]) ).
tff(c_35180,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35175,c_34354]) ).
tff(c_35317,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35312,c_35180]) ).
tff(c_35114,plain,
! [Z_396] : ( multiply(sk_c2,multiply(sk_c8,Z_396)) = multiply(sk_c3,Z_396) ),
inference(superposition,[status(thm),theory(equality)],[c_34354,c_35090]) ).
tff(c_35379,plain,
! [Z_396] : ( multiply(sk_c2,multiply(sk_c7,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35312,c_35175,c_35114]) ).
tff(c_35431,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35376,c_35379]) ).
tff(c_35440,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35317,c_35431]) ).
tff(c_35479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35427,c_35440]) ).
tff(c_35481,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_35205]) ).
tff(c_35619,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35584,c_35481]) ).
tff(c_35620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35587,c_35619]) ).
tff(c_35621,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34317,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34312,c_4]) ).
tff(c_35637,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_35667,plain,
! [Z_407] : ( multiply(sk_c8,multiply(sk_c4,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_34317,c_35637]) ).
tff(c_35788,plain,
! [Z_412] : ( multiply(sk_c8,multiply(sk_c4,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35667]) ).
tff(c_35803,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35621,c_35788]) ).
tff(c_35676,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_35637]) ).
tff(c_35818,plain,
! [X_413,Z_414] : ( multiply(inverse(X_413),multiply(X_413,Z_414)) = Z_414 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35676]) ).
tff(c_35836,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35803,c_35818]) ).
tff(c_35909,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35836]) ).
tff(c_35673,plain,
! [Z_407] : ( multiply(sk_c8,multiply(sk_c2,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_35637]) ).
tff(c_35705,plain,
! [Z_409] : ( multiply(sk_c8,multiply(sk_c2,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35673]) ).
tff(c_35717,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34354,c_35705]) ).
tff(c_35622,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_35721,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35717,c_35622]) ).
tff(c_35934,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35909,c_35721]) ).
tff(c_35941,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35909,c_34327]) ).
tff(c_36008,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35941,c_4]) ).
tff(c_35688,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_35676]) ).
tff(c_36075,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_36008,c_35688]) ).
tff(c_36087,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36075]) ).
tff(c_36092,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36087,c_35941]) ).
tff(c_35664,plain,
! [Z_407] : ( multiply(sk_c7,multiply(sk_c5,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_34331,c_35637]) ).
tff(c_35765,plain,
! [Z_411] : ( multiply(sk_c7,multiply(sk_c5,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35664]) ).
tff(c_35777,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35064,c_35765]) ).
tff(c_35842,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35777,c_35818]) ).
tff(c_35910,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35842]) ).
tff(c_35661,plain,
! [Z_407] : ( multiply(sk_c6,multiply(sk_c7,Z_407)) = multiply(sk_c8,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_34349,c_35637]) ).
tff(c_36013,plain,
! [Z_416] : ( multiply(sk_c8,Z_416) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35910,c_2,c_35909,c_35661]) ).
tff(c_36031,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_36013,c_34317]) ).
tff(c_36055,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36031,c_34312]) ).
tff(c_36116,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36092,c_36055]) ).
tff(c_36118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35934,c_36116]) ).
tff(c_36119,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_36146,plain,
! [X_417,Y_418,Z_419] : ( multiply(multiply(X_417,Y_418),Z_419) = multiply(X_417,multiply(Y_418,Z_419)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36176,plain,
! [Z_419] : ( multiply(sk_c8,multiply(sk_c4,Z_419)) = multiply(identity,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_34317,c_36146]) ).
tff(c_36238,plain,
! [Z_422] : ( multiply(sk_c8,multiply(sk_c4,Z_422)) = Z_422 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36176]) ).
tff(c_36250,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36119,c_36238]) ).
tff(c_36185,plain,
! [X_2,Z_419] : ( multiply(inverse(X_2),multiply(X_2,Z_419)) = multiply(identity,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36146]) ).
tff(c_36342,plain,
! [X_425,Z_426] : ( multiply(inverse(X_425),multiply(X_425,Z_426)) = Z_426 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36185]) ).
tff(c_36378,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36250,c_36342]) ).
tff(c_36443,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36378]) ).
tff(c_36120,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_36131,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_36120,c_52]) ).
tff(c_36173,plain,
! [Z_419] : ( multiply(sk_c7,multiply(sk_c5,Z_419)) = multiply(identity,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_34331,c_36146]) ).
tff(c_36297,plain,
! [Z_424] : ( multiply(sk_c7,multiply(sk_c5,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36173]) ).
tff(c_36312,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36131,c_36297]) ).
tff(c_36366,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36312,c_36342]) ).
tff(c_36440,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36366]) ).
tff(c_36125,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_36179,plain,
! [Z_419] : ( multiply(sk_c7,multiply(sk_c1,Z_419)) = multiply(identity,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_36146]) ).
tff(c_36199,plain,
! [Z_420] : ( multiply(sk_c7,multiply(sk_c1,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36179]) ).
tff(c_36211,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36125,c_36199]) ).
tff(c_36215,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36211,c_34313]) ).
tff(c_36454,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36440,c_36215]) ).
tff(c_36532,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36443,c_36454]) ).
tff(c_36533,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_36554,plain,
! [X_428,Y_429,Z_430] : ( multiply(multiply(X_428,Y_429),Z_430) = multiply(X_428,multiply(Y_429,Z_430)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36578,plain,
! [Z_430] : ( multiply(sk_c7,multiply(sk_c5,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_34331,c_36554]) ).
tff(c_36632,plain,
! [Z_433] : ( multiply(sk_c7,multiply(sk_c5,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36578]) ).
tff(c_36644,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36533,c_36632]) ).
tff(c_36590,plain,
! [X_2,Z_430] : ( multiply(inverse(X_2),multiply(X_2,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36554]) ).
tff(c_36725,plain,
! [X_436,Z_437] : ( multiply(inverse(X_436),multiply(X_436,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36590]) ).
tff(c_36755,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36644,c_36725]) ).
tff(c_36815,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36755]) ).
tff(c_36581,plain,
! [Z_430] : ( multiply(sk_c8,multiply(sk_c4,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_34317,c_36554]) ).
tff(c_36677,plain,
! [Z_435] : ( multiply(sk_c8,multiply(sk_c4,Z_435)) = Z_435 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36581]) ).
tff(c_36695,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36119,c_36677]) ).
tff(c_36749,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36695,c_36725]) ).
tff(c_36814,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36749]) ).
tff(c_36836,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36814,c_34313]) ).
tff(c_36842,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36836]) ).
tff(c_36851,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36815,c_36842]) ).
tff(c_36835,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36814,c_34327]) ).
tff(c_36905,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36835,c_4]) ).
tff(c_36602,plain,
! [X_2,Z_430] : ( multiply(inverse(X_2),multiply(X_2,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36590]) ).
tff(c_36992,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_36905,c_36602]) ).
tff(c_37004,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36992]) ).
tff(c_37010,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37004,c_36835]) ).
tff(c_36575,plain,
! [Z_430] : ( multiply(sk_c6,multiply(sk_c7,Z_430)) = multiply(sk_c8,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_34349,c_36554]) ).
tff(c_36926,plain,
! [Z_439] : ( multiply(sk_c8,Z_439) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36815,c_2,c_36814,c_36575]) ).
tff(c_36944,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_36926,c_34317]) ).
tff(c_36969,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_36944,c_34312]) ).
tff(c_37063,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37010,c_36969]) ).
tff(c_37065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36851,c_37063]) ).
tff(c_37067,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_37112,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37067,c_36]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_37091,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_37067,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_37079,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37067,c_34]) ).
tff(c_37083,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37079,c_4]) ).
tff(c_37153,plain,
! [Z_442] : ( multiply(sk_c7,multiply(sk_c5,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_37083,c_37129]) ).
tff(c_37175,plain,
! [Z_443] : ( multiply(sk_c7,multiply(sk_c5,Z_443)) = Z_443 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37153]) ).
tff(c_37187,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37091,c_37175]) ).
tff(c_37237,plain,
! [X_446,Z_447] : ( multiply(inverse(X_446),multiply(X_446,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37162]) ).
tff(c_37264,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37187,c_37237]) ).
tff(c_37308,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37264]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_37104,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37067,c_28]) ).
tff(c_37066,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_37071,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37066,c_4]) ).
tff(c_37156,plain,
! [Z_442] : ( multiply(sk_c8,multiply(sk_c4,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_37071,c_37129]) ).
tff(c_37198,plain,
! [Z_444] : ( multiply(sk_c8,multiply(sk_c4,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37156]) ).
tff(c_37210,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37104,c_37198]) ).
tff(c_37258,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37210,c_37237]) ).
tff(c_37307,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37258]) ).
tff(c_37215,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37112,c_68]) ).
tff(c_37216,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_37215]) ).
tff(c_37315,plain,
multiply(identity,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37307,c_37216]) ).
tff(c_37324,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37315]) ).
tff(c_37368,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37308,c_37324]) ).
tff(c_37318,plain,
multiply(sk_c6,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37307,c_37112]) ).
tff(c_37431,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37308,c_37318]) ).
tff(c_37432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37368,c_37431]) ).
tff(c_37434,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_37215]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37438,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c8,Z_5)) = multiply(sk_c6,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_37434,c_6]) ).
tff(c_37515,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_37210,c_37438]) ).
tff(c_37521,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37112,c_37434,c_37515]) ).
tff(c_37527,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37521,c_37112]) ).
tff(c_38095,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37527,c_38077]) ).
tff(c_38129,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38095]) ).
tff(c_38104,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37187,c_38077]) ).
tff(c_38130,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38104]) ).
tff(c_37618,plain,
! [X_453,Z_454] : ( multiply(inverse(X_453),multiply(X_453,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37162]) ).
tff(c_37810,plain,
! [X_456,Z_457] : ( multiply(inverse(inverse(X_456)),Z_457) = multiply(X_456,Z_457) ),
inference(superposition,[status(thm),theory(equality)],[c_37618,c_37173]) ).
tff(c_37660,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37618]) ).
tff(c_37817,plain,
! [X_456] : ( multiply(X_456,identity) = X_456 ),
inference(superposition,[status(thm),theory(equality)],[c_37810,c_37660]) ).
tff(c_37525,plain,
multiply(sk_c7,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37521,c_37434]) ).
tff(c_37560,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37525,c_37187]) ).
tff(c_37523,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37521,c_37521,c_37210]) ).
tff(c_37595,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37560,c_37523]) ).
tff(c_37642,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37595,c_37618]) ).
tff(c_37668,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37642]) ).
tff(c_37675,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37668,c_37560]) ).
tff(c_37433,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_37215]) ).
tff(c_37463,plain,
! [X2_451] :
( ( inverse(X2_451) != sk_c7 )
| ( multiply(X2_451,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_37433]) ).
tff(c_37476,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37091,c_37463]) ).
tff(c_37488,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37079,c_37476]) ).
tff(c_37489,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_37433]) ).
tff(c_37558,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37521,c_37521,c_37521,c_37521,c_37521,c_37521,c_37489]) ).
tff(c_37559,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_37558]) ).
tff(c_38073,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37817,c_37675,c_37668,c_37675,c_37559]) ).
tff(c_37573,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37560,c_37079]) ).
tff(c_37582,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37573,c_4]) ).
tff(c_37692,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37668,c_37582]) ).
tff(c_37674,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37668,c_37573]) ).
tff(c_37697,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37692,c_37674]) ).
tff(c_38075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38073,c_37697]) ).
tff(c_38076,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_37558]) ).
tff(c_56292,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38313,c_38129,c_38130,c_38130,c_38313,c_38129,c_38130,c_2,c_38130,c_38130,c_38076]) ).
tff(c_56294,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_56292]) ).
tff(c_37532,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37521,c_85]) ).
tff(c_37547,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37532,c_4]) ).
tff(c_38155,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38130,c_37547]) ).
tff(c_38134,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38130,c_37532]) ).
tff(c_38160,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38155,c_38134]) ).
tff(c_56296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56294,c_38160]) ).
tff(c_56298,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_56292]) ).
tff(c_56300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56298,c_38160]) ).
tff(c_56302,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_56359,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_56302,c_66]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_56348,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_56302,c_58]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_56310,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_56311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56302,c_56310]) ).
tff(c_56312,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_56317,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_56312,c_4]) ).
tff(c_56407,plain,
! [Z_614] : ( multiply(sk_c8,multiply(sk_c4,Z_614)) = multiply(identity,Z_614) ),
inference(superposition,[status(thm),theory(equality)],[c_56317,c_56380]) ).
tff(c_56426,plain,
! [Z_615] : ( multiply(sk_c8,multiply(sk_c4,Z_615)) = Z_615 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56407]) ).
tff(c_56438,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_56348,c_56426]) ).
tff(c_56488,plain,
! [X_618,Z_619] : ( multiply(inverse(X_618),multiply(X_618,Z_619)) = Z_619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56413]) ).
tff(c_56515,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_56438,c_56488]) ).
tff(c_56559,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56515]) ).
tff(c_62,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_56354,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_56302,c_62]) ).
tff(c_56301,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_56306,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_56301,c_4]) ).
tff(c_56410,plain,
! [Z_614] : ( multiply(sk_c7,multiply(sk_c5,Z_614)) = multiply(identity,Z_614) ),
inference(superposition,[status(thm),theory(equality)],[c_56306,c_56380]) ).
tff(c_56452,plain,
! [Z_616] : ( multiply(sk_c7,multiply(sk_c5,Z_616)) = Z_616 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56410]) ).
tff(c_56464,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_56354,c_56452]) ).
tff(c_56509,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_56464,c_56488]) ).
tff(c_56558,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56509]) ).
tff(c_56567,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_56558,c_56359]) ).
tff(c_56569,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56567]) ).
tff(c_56586,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_56559,c_56569]) ).
tff(c_56443,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56359,c_68]) ).
tff(c_56444,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_56443]) ).
tff(c_56566,plain,
multiply(sk_c7,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_56558,c_56444]) ).
tff(c_56787,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56586,c_2,c_56559,c_56566]) ).
tff(c_56789,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_56443]) ).
tff(c_57036,plain,
! [Z_628] : ( multiply(sk_c7,multiply(sk_c8,Z_628)) = multiply(sk_c6,Z_628) ),
inference(superposition,[status(thm),theory(equality)],[c_56789,c_6]) ).
tff(c_57063,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_56438,c_57036]) ).
tff(c_57074,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_56359,c_56789,c_57063]) ).
tff(c_56826,plain,
! [Z_623] : ( multiply(sk_c7,multiply(sk_c5,Z_623)) = Z_623 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56410]) ).
tff(c_56841,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_56354,c_56826]) ).
tff(c_56395,plain,
! [Z_614] : ( multiply(sk_c6,multiply(sk_c7,Z_614)) = multiply(sk_c8,Z_614) ),
inference(superposition,[status(thm),theory(equality)],[c_56359,c_56380]) ).
tff(c_56848,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_56841,c_56395]) ).
tff(c_56854,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_56359,c_56848]) ).
tff(c_57079,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57074,c_57074,c_56854]) ).
tff(c_57846,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_57079,c_57816]) ).
tff(c_57863,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57846]) ).
tff(c_57082,plain,
multiply(sk_c7,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57074,c_56789]) ).
tff(c_57772,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57082,c_56841]) ).
tff(c_57867,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57863,c_57772]) ).
tff(c_57177,plain,
! [X_629,Z_630] : ( multiply(inverse(X_629),multiply(X_629,Z_630)) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56413]) ).
tff(c_57377,plain,
! [X_632,Z_633] : ( multiply(inverse(inverse(X_632)),Z_633) = multiply(X_632,Z_633) ),
inference(superposition,[status(thm),theory(equality)],[c_57177,c_56424]) ).
tff(c_57222,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57177]) ).
tff(c_57384,plain,
! [X_632] : ( multiply(X_632,identity) = X_632 ),
inference(superposition,[status(thm),theory(equality)],[c_57377,c_57222]) ).
tff(c_57213,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_57079,c_57177]) ).
tff(c_57231,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57213]) ).
tff(c_57117,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57082,c_56841]) ).
tff(c_57237,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57231,c_57117]) ).
tff(c_56788,plain,
! [X3_7,X5_6,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_56443]) ).
tff(c_56983,plain,
! [X2_626] :
( ( inverse(X2_626) != sk_c7 )
| ( multiply(X2_626,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_56788]) ).
tff(c_56990,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_56354,c_56983]) ).
tff(c_57002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56301,c_56990]) ).
tff(c_57003,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_56788]) ).
tff(c_57115,plain,
! [X1_8,X5_6,X3_7] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57074,c_57074,c_57074,c_57074,c_57074,c_57074,c_57003]) ).
tff(c_57116,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_57115]) ).
tff(c_57768,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_57384,c_57237,c_57231,c_57237,c_57116]) ).
tff(c_57087,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57074,c_56312]) ).
tff(c_57096,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57087,c_4]) ).
tff(c_57256,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57231,c_57096]) ).
tff(c_57241,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57231,c_57087]) ).
tff(c_57271,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57256,c_57241]) ).
tff(c_57770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57768,c_57271]) ).
tff(c_57771,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_57115]) ).
tff(c_70092,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58033,c_57867,c_57863,c_57863,c_58033,c_57867,c_57863,c_2,c_57863,c_57863,c_57771]) ).
tff(c_70094,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_70092]) ).
tff(c_57788,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57772,c_56301]) ).
tff(c_57797,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57788,c_4]) ).
tff(c_57886,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57863,c_57797]) ).
tff(c_57866,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57863,c_57788]) ).
tff(c_57891,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57886,c_57866]) ).
tff(c_70096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70094,c_57891]) ).
tff(c_70098,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_70092]) ).
tff(c_70100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70098,c_57891]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP321-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 21:50:47 EDT 2023
% 0.12/0.35 % CPUTime :
% 17.08/7.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.28/7.49
% 17.28/7.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.62/7.57
% 17.62/7.57 Inference rules
% 17.62/7.57 ----------------------
% 17.62/7.57 #Ref : 0
% 17.62/7.57 #Sup : 17162
% 17.62/7.57 #Fact : 0
% 17.62/7.57 #Define : 0
% 17.62/7.57 #Split : 47
% 17.62/7.57 #Chain : 0
% 17.62/7.57 #Close : 0
% 17.62/7.57
% 17.62/7.57 Ordering : KBO
% 17.62/7.57
% 17.62/7.57 Simplification rules
% 17.62/7.57 ----------------------
% 17.62/7.57 #Subsume : 15
% 17.62/7.57 #Demod : 48752
% 17.62/7.57 #Tautology : 13900
% 17.62/7.57 #SimpNegUnit : 91
% 17.62/7.57 #BackRed : 674
% 17.62/7.57
% 17.62/7.57 #Partial instantiations: 0
% 17.62/7.57 #Strategies tried : 1
% 17.62/7.57
% 17.62/7.57 Timing (in seconds)
% 17.62/7.57 ----------------------
% 17.62/7.57 Preprocessing : 0.64
% 17.62/7.57 Parsing : 0.28
% 17.62/7.57 CNF conversion : 0.03
% 17.62/7.57 Main loop : 5.75
% 17.62/7.57 Inferencing : 1.56
% 17.62/7.57 Reduction : 3.27
% 17.62/7.57 Demodulation : 2.99
% 17.62/7.57 BG Simplification : 0.14
% 17.62/7.57 Subsumption : 0.52
% 17.62/7.57 Abstraction : 0.34
% 17.62/7.57 MUC search : 0.00
% 17.62/7.57 Cooper : 0.00
% 17.62/7.57 Total : 6.55
% 17.62/7.57 Index Insertion : 0.00
% 17.62/7.57 Index Deletion : 0.00
% 17.62/7.57 Index Matching : 0.00
% 17.62/7.57 BG Taut test : 0.00
%------------------------------------------------------------------------------