TSTP Solution File: GRP391-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP391-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.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 10:41:09 EDT 2023
% Result : Unsatisfiable 19.34s 8.15s
% Output : CNFRefutation 19.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 44
% Syntax : Number of formulae : 586 ( 487 unt; 11 typ; 0 def)
% Number of atoms : 741 ( 718 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 343 ( 177 ~; 166 |; 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 : 274 (; 274 !; 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_68,axiom,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
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_86,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( inverse(sk_c6) != sk_c8 )
| ( multiply(X3,X4) != sk_c8 )
| ( inverse(X3) != X4 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X5) != sk_c6 )
| ( multiply(X5,sk_c8) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c8 ) ),
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_10,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_98,plain,
inverse(sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_62,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_28442,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_149,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_179,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_149]) ).
tff(c_189,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_179]) ).
tff(c_237,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_1096,plain,
! [X_33,Z_34] : ( multiply(inverse(inverse(X_33)),Z_34) = multiply(X_33,Z_34) ),
inference(superposition,[status(thm),theory(equality)],[c_189,c_237]) ).
tff(c_291,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_1103,plain,
! [X_33] : ( multiply(X_33,identity) = X_33 ),
inference(superposition,[status(thm),theory(equality)],[c_1096,c_291]) ).
tff(c_598,plain,
! [X_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_189,c_237]) ).
tff(c_605,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_598,c_291]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_119,plain,
multiply(sk_c1,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_85,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_89,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_176,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_214,plain,
! [Z_17] : ( multiply(sk_c2,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_119,c_214]) ).
tff(c_255,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_226,c_237]) ).
tff(c_298,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_255]) ).
tff(c_407,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_98]) ).
tff(c_423,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_407,c_4]) ).
tff(c_430,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_423,c_189]) ).
tff(c_442,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_430]) ).
tff(c_58,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_124,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_173,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c6,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c6,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_124,c_191]) ).
tff(c_401,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_298,c_203]) ).
tff(c_408,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_401]) ).
tff(c_313,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_98]) ).
tff(c_329,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_313,c_4]) ).
tff(c_336,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_329,c_189]) ).
tff(c_348,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_336]) ).
tff(c_352,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_348,c_313]) ).
tff(c_307,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_298,c_203]) ).
tff(c_314,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_307]) ).
tff(c_68,plain,
! [X5_6,X2_9,X1_8,X3_7] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 )
| ( inverse(sk_c6) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_304,plain,
! [X5_6,X2_9,X1_8,X3_7] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_124,c_68]) ).
tff(c_305,plain,
! [X3_7] :
( ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_304]) ).
tff(c_388,plain,
! [X3_20] :
( ( multiply(inverse(X3_20),identity) != identity )
| ( multiply(X3_20,inverse(X3_20)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_314,c_298,c_305]) ).
tff(c_390,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_352,c_388]) ).
tff(c_398,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_352,c_2,c_2,c_390]) ).
tff(c_399,plain,
! [X1_8,X2_9,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_304]) ).
tff(c_481,plain,
! [X1_8,X2_9,X5_6] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( multiply(X5_6,identity) != identity )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_442,c_442,c_298,c_442,c_408,c_408,c_408,c_298,c_298,c_399]) ).
tff(c_482,plain,
! [X5_6] :
( ( multiply(X5_6,identity) != identity )
| ( inverse(X5_6) != identity ) ),
inference(splitLeft,[status(thm)],[c_481]) ).
tff(c_978,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_605,c_482]) ).
tff(c_446,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_442,c_407]) ).
tff(c_980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_978,c_446]) ).
tff(c_981,plain,
! [X2_9,X1_8] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_481]) ).
tff(c_27916,plain,
! [X2_9,X1_8] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1103,c_1103,c_981]) ).
tff(c_27918,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_27916]) ).
tff(c_27920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27918,c_446]) ).
tff(c_27922,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_27916]) ).
tff(c_27924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27922,c_446]) ).
tff(c_27926,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_27973,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27926,c_66]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_27956,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27926,c_64]) ).
tff(c_27960,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27956,c_4]) ).
tff(c_27992,plain,
! [X_215,Y_216,Z_217] : ( multiply(multiply(X_215,Y_216),Z_217) = multiply(X_215,multiply(Y_216,Z_217)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28016,plain,
! [Z_217] : ( multiply(sk_c6,multiply(sk_c5,Z_217)) = multiply(identity,Z_217) ),
inference(superposition,[status(thm),theory(equality)],[c_27960,c_27992]) ).
tff(c_28099,plain,
! [Z_220] : ( multiply(sk_c6,multiply(sk_c5,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28016]) ).
tff(c_28114,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27973,c_28099]) ).
tff(c_28031,plain,
! [Z_217] : ( multiply(sk_c8,multiply(sk_c6,Z_217)) = multiply(identity,Z_217) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_27992]) ).
tff(c_28048,plain,
! [Z_217] : ( multiply(sk_c8,multiply(sk_c6,Z_217)) = Z_217 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28031]) ).
tff(c_28123,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28114,c_28048]) ).
tff(c_28034,plain,
! [Z_217] : ( multiply(sk_c2,multiply(sk_c1,Z_217)) = multiply(identity,Z_217) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_27992]) ).
tff(c_28076,plain,
! [Z_219] : ( multiply(sk_c2,multiply(sk_c1,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28034]) ).
tff(c_28088,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_119,c_28076]) ).
tff(c_28153,plain,
! [Z_222] : ( multiply(sk_c1,multiply(sk_c2,Z_222)) = multiply(sk_c8,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_27992]) ).
tff(c_28168,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_28088,c_28153]) ).
tff(c_28181,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_28123,c_119,c_28168]) ).
tff(c_56,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_27981,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_27926,c_56]) ).
tff(c_27925,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_27930,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27925,c_4]) ).
tff(c_28022,plain,
! [Z_217] : ( multiply(sk_c8,multiply(sk_c3,Z_217)) = multiply(identity,Z_217) ),
inference(superposition,[status(thm),theory(equality)],[c_27930,c_27992]) ).
tff(c_28137,plain,
! [Z_221] : ( multiply(sk_c8,multiply(sk_c3,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28022]) ).
tff(c_28149,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27981,c_28137]) ).
tff(c_28216,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_28181,c_28181,c_28149]) ).
tff(c_28037,plain,
! [X_2,Z_217] : ( multiply(inverse(X_2),multiply(X_2,Z_217)) = multiply(identity,Z_217) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27992]) ).
tff(c_28231,plain,
! [X_223,Z_224] : ( multiply(inverse(X_223),multiply(X_223,Z_224)) = Z_224 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28037]) ).
tff(c_28252,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28216,c_28231]) ).
tff(c_28299,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28252]) ).
tff(c_28184,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_28181,c_28181,c_28123]) ).
tff(c_28249,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28184,c_28231]) ).
tff(c_28298,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28249]) ).
tff(c_28192,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_28181,c_27926]) ).
tff(c_28427,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28299,c_28298,c_2,c_28298,c_28192]) ).
tff(c_28429,plain,
multiply(sk_c1,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_28486,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28429,c_24]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_28463,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_28429,c_26]) ).
tff(c_28467,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28463,c_4]) ).
tff(c_28500,plain,
! [X_226,Y_227,Z_228] : ( multiply(multiply(X_226,Y_227),Z_228) = multiply(X_226,multiply(Y_227,Z_228)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28524,plain,
! [Z_228] : ( multiply(sk_c7,multiply(sk_c4,Z_228)) = multiply(identity,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_28467,c_28500]) ).
tff(c_28932,plain,
! [Z_239] : ( multiply(sk_c7,multiply(sk_c4,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28524]) ).
tff(c_28947,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28486,c_28932]) ).
tff(c_28530,plain,
! [Z_228] : ( multiply(sk_c6,multiply(sk_c7,Z_228)) = multiply(sk_c8,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_28442,c_28500]) ).
tff(c_28954,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_28947,c_28530]) ).
tff(c_28960,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_28442,c_28954]) ).
tff(c_28539,plain,
! [Z_228] : ( multiply(sk_c8,multiply(sk_c6,Z_228)) = multiply(identity,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_28500]) ).
tff(c_28879,plain,
! [Z_237] : ( multiply(sk_c8,multiply(sk_c6,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28539]) ).
tff(c_28894,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28442,c_28879]) ).
tff(c_28962,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28960,c_28960,c_28894]) ).
tff(c_28975,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28962]) ).
tff(c_28986,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28975,c_28463]) ).
tff(c_29002,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28986,c_4]) ).
tff(c_29019,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_29002,c_2]) ).
tff(c_29028,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29019,c_28986]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_114,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_28536,plain,
! [Z_228] : ( multiply(sk_c2,multiply(sk_c7,Z_228)) = multiply(sk_c8,Z_228) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_28500]) ).
tff(c_29146,plain,
! [Z_242] : ( multiply(sk_c2,Z_242) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28975,c_2,c_28960,c_28536]) ).
tff(c_29161,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_29146,c_89]) ).
tff(c_29176,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_29161,c_85]) ).
tff(c_29179,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29028,c_29176]) ).
tff(c_28970,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28960,c_28429]) ).
tff(c_29195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29179,c_2,c_29161,c_28970]) ).
tff(c_29197,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_29233,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29197,c_56]) ).
tff(c_28428,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_28433,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28428,c_4]) ).
tff(c_29256,plain,
! [X_243,Y_244,Z_245] : ( multiply(multiply(X_243,Y_244),Z_245) = multiply(X_243,multiply(Y_244,Z_245)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29286,plain,
! [Z_245] : ( multiply(sk_c8,multiply(sk_c3,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_28433,c_29256]) ).
tff(c_29352,plain,
! [Z_248] : ( multiply(sk_c8,multiply(sk_c3,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29286]) ).
tff(c_29364,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29233,c_29352]) ).
tff(c_29298,plain,
! [X_2,Z_245] : ( multiply(inverse(X_2),multiply(X_2,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29256]) ).
tff(c_29404,plain,
! [X_250,Z_251] : ( multiply(inverse(X_250),multiply(X_250,Z_251)) = Z_251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29298]) ).
tff(c_29428,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29364,c_29404]) ).
tff(c_29497,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29428]) ).
tff(c_29196,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_29511,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29497,c_29196]) ).
tff(c_29538,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29511,c_4]) ).
tff(c_29311,plain,
! [X_2,Z_245] : ( multiply(inverse(X_2),multiply(X_2,Z_245)) = Z_245 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29298]) ).
tff(c_29545,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29538,c_29311]) ).
tff(c_29557,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29545]) ).
tff(c_29561,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29557,c_29511]) ).
tff(c_29238,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28429,c_24]) ).
tff(c_29449,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29238,c_29404]) ).
tff(c_29499,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29196,c_29449]) ).
tff(c_29620,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29497,c_2,c_29497,c_29499]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_29213,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28429,c_28]) ).
tff(c_29217,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29213,c_4]) ).
tff(c_29292,plain,
! [Z_245] : ( multiply(sk_c8,multiply(sk_c6,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_29256]) ).
tff(c_29313,plain,
! [Z_246] : ( multiply(sk_c8,multiply(sk_c6,Z_246)) = Z_246 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29292]) ).
tff(c_29325,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29217,c_29313]) ).
tff(c_29506,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29497,c_29364]) ).
tff(c_29513,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29325,c_29506]) ).
tff(c_29527,plain,
inverse(sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29513,c_98]) ).
tff(c_29621,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29620,c_29527]) ).
tff(c_29624,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29561,c_29621]) ).
tff(c_29631,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29624,c_29513]) ).
tff(c_29510,plain,
multiply(sk_c6,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29497,c_29197]) ).
tff(c_29654,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29631,c_2,c_29620,c_29510]) ).
tff(c_29656,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_66018,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29656,c_50]) ).
tff(c_29732,plain,
! [X_253,Y_254,Z_255] : ( multiply(multiply(X_253,Y_254),Z_255) = multiply(X_253,multiply(Y_254,Z_255)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29777,plain,
! [X_2,Z_255] : ( multiply(inverse(X_2),multiply(X_2,Z_255)) = multiply(identity,Z_255) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29732]) ).
tff(c_31437,plain,
! [X_283,Z_284] : ( multiply(inverse(X_283),multiply(X_283,Z_284)) = Z_284 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29777]) ).
tff(c_29790,plain,
! [X_2,Z_255] : ( multiply(inverse(X_2),multiply(X_2,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29777]) ).
tff(c_31780,plain,
! [X_287,Z_288] : ( multiply(inverse(inverse(X_287)),Z_288) = multiply(X_287,Z_288) ),
inference(superposition,[status(thm),theory(equality)],[c_31437,c_29790]) ).
tff(c_31497,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31437]) ).
tff(c_31790,plain,
! [X_287] : ( multiply(X_287,identity) = X_287 ),
inference(superposition,[status(thm),theory(equality)],[c_31780,c_31497]) ).
tff(c_29673,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_29771,plain,
! [Z_255] : ( multiply(sk_c8,multiply(sk_c6,Z_255)) = multiply(identity,Z_255) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_29732]) ).
tff(c_30202,plain,
! [Z_264] : ( multiply(sk_c8,multiply(sk_c6,Z_264)) = Z_264 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29771]) ).
tff(c_30214,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29673,c_30202]) ).
tff(c_29657,plain,
multiply(sk_c1,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_29774,plain,
! [Z_255] : ( multiply(sk_c2,multiply(sk_c1,Z_255)) = multiply(identity,Z_255) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_29732]) ).
tff(c_30179,plain,
! [Z_263] : ( multiply(sk_c2,multiply(sk_c1,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29774]) ).
tff(c_30191,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29657,c_30179]) ).
tff(c_30221,plain,
! [Z_265] : ( multiply(sk_c1,multiply(sk_c2,Z_265)) = multiply(sk_c8,Z_265) ),
inference(superposition,[status(thm),theory(equality)],[c_29657,c_29732]) ).
tff(c_30236,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_30191,c_30221]) ).
tff(c_30246,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29657,c_30236]) ).
tff(c_30262,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30214,c_30246]) ).
tff(c_30275,plain,
multiply(sk_c7,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30262,c_102]) ).
tff(c_29678,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29656,c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_29721,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29656,c_48]) ).
tff(c_31476,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29721,c_31437]) ).
tff(c_31505,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30275,c_29678,c_31476]) ).
tff(c_29655,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_29661,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29655,c_4]) ).
tff(c_30217,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29661,c_30202]) ).
tff(c_30264,plain,
multiply(sk_c7,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30262,c_30217]) ).
tff(c_31510,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_31505,c_30264]) ).
tff(c_31518,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31510]) ).
tff(c_31524,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31518,c_29655]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_29698,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29656,c_46]) ).
tff(c_30271,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30262,c_29698]) ).
tff(c_30284,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30271,c_4]) ).
tff(c_31533,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31505,c_30284]) ).
tff(c_31512,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31505,c_30271]) ).
tff(c_31570,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31524,c_31533,c_31512]) ).
tff(c_30360,plain,
! [X_266,Z_267] : ( multiply(inverse(X_266),multiply(X_266,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29777]) ).
tff(c_30414,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29721,c_30360]) ).
tff(c_30447,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30275,c_29678,c_30414]) ).
tff(c_30457,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30447,c_30264]) ).
tff(c_30465,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30457]) ).
tff(c_30471,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30465,c_29655]) ).
tff(c_30480,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30447,c_30284]) ).
tff(c_30459,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30447,c_30271]) ).
tff(c_30536,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30471,c_30480,c_30459]) ).
tff(c_30726,plain,
! [X_270,Z_271] : ( multiply(inverse(inverse(X_270)),Z_271) = multiply(X_270,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_29790,c_30360]) ).
tff(c_30435,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30360]) ).
tff(c_30736,plain,
! [X_270] : ( multiply(X_270,identity) = X_270 ),
inference(superposition,[status(thm),theory(equality)],[c_30726,c_30435]) ).
tff(c_29795,plain,
! [Z_256] : ( multiply(sk_c2,multiply(sk_c1,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29774]) ).
tff(c_29807,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29657,c_29795]) ).
tff(c_29905,plain,
! [X_260,Z_261] : ( multiply(inverse(X_260),multiply(X_260,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29777]) ).
tff(c_29938,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29807,c_29905]) ).
tff(c_30001,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29938]) ).
tff(c_29793,plain,
! [X5_6,X2_9,X1_8,X3_7] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_29673,c_68]) ).
tff(c_29852,plain,
! [X3_258] :
( ( multiply(inverse(X3_258),sk_c7) != sk_c8 )
| ( multiply(X3_258,inverse(X3_258)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_29793]) ).
tff(c_29856,plain,
( ( multiply(sk_c7,sk_c7) != sk_c8 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_29678,c_29852]) ).
tff(c_29867,plain,
( ( multiply(sk_c7,sk_c7) != sk_c8 )
| ( sk_c8 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29721,c_29678,c_29856]) ).
tff(c_29875,plain,
sk_c8 != sk_c6,
inference(splitLeft,[status(thm)],[c_29867]) ).
tff(c_30012,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30001,c_29875]) ).
tff(c_29818,plain,
! [Z_257] : ( multiply(sk_c8,multiply(sk_c6,Z_257)) = Z_257 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29771]) ).
tff(c_29830,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29673,c_29818]) ).
tff(c_30018,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30001,c_30001,c_29830]) ).
tff(c_30031,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30018]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_29726,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29656,c_54]) ).
tff(c_29765,plain,
! [Z_255] : ( multiply(sk_c6,multiply(sk_c5,Z_255)) = multiply(identity,Z_255) ),
inference(superposition,[status(thm),theory(equality)],[c_29661,c_29732]) ).
tff(c_29876,plain,
! [Z_259] : ( multiply(sk_c6,multiply(sk_c5,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29765]) ).
tff(c_29891,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29726,c_29876]) ).
tff(c_29923,plain,
multiply(inverse(sk_c6),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29891,c_29905]) ).
tff(c_29999,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29830,c_98,c_29923]) ).
tff(c_30088,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30031,c_29999]) ).
tff(c_30090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30012,c_30088]) ).
tff(c_30092,plain,
sk_c8 = sk_c6,
inference(splitRight,[status(thm)],[c_29867]) ).
tff(c_30101,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30092,c_29726]) ).
tff(c_29858,plain,
( ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_29655,c_29852]) ).
tff(c_29869,plain,
multiply(sk_c5,sk_c6) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29655,c_29673,c_29858]) ).
tff(c_30095,plain,
multiply(sk_c5,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30092,c_29869]) ).
tff(c_30177,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30101,c_30095]) ).
tff(c_30178,plain,
! [X1_8,X2_9,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_29793]) ).
tff(c_30295,plain,
! [X1_8,X2_9,X5_6] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30262,c_30262,c_30262,c_30178]) ).
tff(c_30296,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_30295]) ).
tff(c_31410,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30536,c_30736,c_30536,c_30447,c_30296]) ).
tff(c_30276,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30262,c_98]) ).
tff(c_30458,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30447,c_30276]) ).
tff(c_30538,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30536,c_30458]) ).
tff(c_31412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31410,c_30538]) ).
tff(c_31413,plain,
! [X2_9,X1_8] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_30295]) ).
tff(c_65995,plain,
! [X2_9,X1_8] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31790,c_31505,c_31505,c_31505,c_31790,c_31570,c_31505,c_31505,c_31413]) ).
tff(c_65997,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_65995]) ).
tff(c_31511,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31505,c_30276]) ).
tff(c_31571,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31570,c_31511]) ).
tff(c_65999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65997,c_31571]) ).
tff(c_66001,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_65995]) ).
tff(c_66003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66001,c_31571]) ).
tff(c_66005,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_66043,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_66005,c_60]) ).
tff(c_66066,plain,
! [X_467,Y_468,Z_469] : ( multiply(multiply(X_467,Y_468),Z_469) = multiply(X_467,multiply(Y_468,Z_469)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_66108,plain,
! [X_2,Z_469] : ( multiply(inverse(X_2),multiply(X_2,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_66066]) ).
tff(c_66268,plain,
! [X_474,Z_475] : ( multiply(inverse(X_474),multiply(X_474,Z_475)) = Z_475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66108]) ).
tff(c_66298,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_66043,c_66268]) ).
tff(c_66326,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_66018,c_66298]) ).
tff(c_66121,plain,
! [X_2,Z_469] : ( multiply(inverse(X_2),multiply(X_2,Z_469)) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66108]) ).
tff(c_66342,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_66326,c_66121]) ).
tff(c_66348,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_66342]) ).
tff(c_66059,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_66005,c_66]) ).
tff(c_66096,plain,
! [Z_469] : ( multiply(sk_c6,multiply(sk_c5,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_29661,c_66066]) ).
tff(c_66172,plain,
! [Z_472] : ( multiply(sk_c6,multiply(sk_c5,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66096]) ).
tff(c_66187,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_66059,c_66172]) ).
tff(c_66102,plain,
! [Z_469] : ( multiply(sk_c8,multiply(sk_c6,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_66066]) ).
tff(c_66119,plain,
! [Z_469] : ( multiply(sk_c8,multiply(sk_c6,Z_469)) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66102]) ).
tff(c_66220,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_66187,c_66119]) ).
tff(c_66105,plain,
! [Z_469] : ( multiply(sk_c2,multiply(sk_c1,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_66066]) ).
tff(c_66149,plain,
! [Z_471] : ( multiply(sk_c2,multiply(sk_c1,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66105]) ).
tff(c_66161,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29657,c_66149]) ).
tff(c_66191,plain,
! [Z_473] : ( multiply(sk_c1,multiply(sk_c2,Z_473)) = multiply(sk_c8,Z_473) ),
inference(superposition,[status(thm),theory(equality)],[c_29657,c_66066]) ).
tff(c_66206,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_66161,c_66191]) ).
tff(c_66216,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29657,c_66206]) ).
tff(c_66234,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_66220,c_66216]) ).
tff(c_66004,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_66252,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_66234,c_66004]) ).
tff(c_66264,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_66252,c_4]) ).
tff(c_66362,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66348,c_66264]) ).
tff(c_66352,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66348,c_66252]) ).
tff(c_66381,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66362,c_66352]) ).
tff(c_66353,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66348,c_66234]) ).
tff(c_66050,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_66005,c_56]) ).
tff(c_66084,plain,
! [Z_469] : ( multiply(sk_c3,multiply(sk_c8,Z_469)) = multiply(sk_c7,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_66050,c_66066]) ).
tff(c_66414,plain,
! [Z_476] : ( multiply(sk_c7,Z_476) = Z_476 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66353,c_2,c_66362,c_66084]) ).
tff(c_66022,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_66018,c_4]) ).
tff(c_66426,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_66414,c_66022]) ).
tff(c_66448,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_66426,c_66018]) ).
tff(c_66450,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_66381,c_66448]) ).
tff(c_66251,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_66234,c_66005]) ).
tff(c_66499,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66450,c_66348,c_2,c_66348,c_66251]) ).
tff(c_66501,plain,
multiply(sk_c1,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_66550,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_66501,c_24]) ).
tff(c_66524,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_66501,c_26]) ).
tff(c_66528,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_66524,c_4]) ).
tff(c_67765,plain,
! [X_501,Y_502,Z_503] : ( multiply(multiply(X_501,Y_502),Z_503) = multiply(X_501,multiply(Y_502,Z_503)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_67789,plain,
! [Z_503] : ( multiply(sk_c7,multiply(sk_c4,Z_503)) = multiply(identity,Z_503) ),
inference(superposition,[status(thm),theory(equality)],[c_66528,c_67765]) ).
tff(c_67858,plain,
! [Z_506] : ( multiply(sk_c7,multiply(sk_c4,Z_506)) = Z_506 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_67789]) ).
tff(c_67870,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_66550,c_67858]) ).
tff(c_67804,plain,
! [X_2,Z_503] : ( multiply(inverse(X_2),multiply(X_2,Z_503)) = multiply(identity,Z_503) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_67765]) ).
tff(c_67897,plain,
! [X_508,Z_509] : ( multiply(inverse(X_508),multiply(X_508,Z_509)) = Z_509 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_67804]) ).
tff(c_67918,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_67870,c_67897]) ).
tff(c_67982,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_67918]) ).
tff(c_67999,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_67982,c_98]) ).
tff(c_68012,plain,
multiply(sk_c8,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_67999,c_4]) ).
tff(c_66505,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29655,c_4]) ).
tff(c_67798,plain,
! [Z_503] : ( multiply(sk_c8,multiply(sk_c6,Z_503)) = multiply(identity,Z_503) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_67765]) ).
tff(c_67819,plain,
! [Z_504] : ( multiply(sk_c8,multiply(sk_c6,Z_504)) = Z_504 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_67798]) ).
tff(c_67831,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_66505,c_67819]) ).
tff(c_68017,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68012,c_67831]) ).
tff(c_67997,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67982,c_29655]) ).
tff(c_68033,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67999,c_68017,c_67997]) ).
tff(c_66500,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_30,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_66568,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_66501,c_30]) ).
tff(c_66578,plain,
! [X_477,Y_478,Z_479] : ( multiply(multiply(X_477,Y_478),Z_479) = multiply(X_477,multiply(Y_478,Z_479)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_66608,plain,
! [Z_479] : ( multiply(sk_c6,multiply(sk_c5,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_66505,c_66578]) ).
tff(c_67067,plain,
! [Z_490] : ( multiply(sk_c6,multiply(sk_c5,Z_490)) = Z_490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66608]) ).
tff(c_67082,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_66568,c_67067]) ).
tff(c_66614,plain,
! [Z_479] : ( multiply(sk_c8,multiply(sk_c6,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_66578]) ).
tff(c_66631,plain,
! [Z_479] : ( multiply(sk_c8,multiply(sk_c6,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66614]) ).
tff(c_67108,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_67082,c_66631]) ).
tff(c_66560,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_66635,plain,
! [Z_480] : ( multiply(sk_c8,multiply(sk_c6,Z_480)) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66614]) ).
tff(c_66647,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_66560,c_66635]) ).
tff(c_67115,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67108,c_66647]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_66555,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_66501,c_20]) ).
tff(c_67125,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67115,c_66555]) ).
tff(c_66620,plain,
! [X_2,Z_479] : ( multiply(inverse(X_2),multiply(X_2,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_66578]) ).
tff(c_67232,plain,
! [X_493,Z_494] : ( multiply(inverse(X_493),multiply(X_493,Z_494)) = Z_494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66620]) ).
tff(c_67268,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_67125,c_67232]) ).
tff(c_67316,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_66500,c_67268]) ).
tff(c_67126,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67115,c_66550]) ).
tff(c_66605,plain,
! [Z_479] : ( multiply(sk_c7,multiply(sk_c4,Z_479)) = multiply(identity,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_66528,c_66578]) ).
tff(c_66628,plain,
! [Z_479] : ( multiply(sk_c7,multiply(sk_c4,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66605]) ).
tff(c_67197,plain,
! [Z_492] : ( multiply(sk_c6,multiply(sk_c4,Z_492)) = Z_492 ),
inference(demodulation,[status(thm),theory(equality)],[c_67115,c_66628]) ).
tff(c_67215,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_67126,c_67197]) ).
tff(c_67220,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67215,c_67082]) ).
tff(c_67337,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_67316,c_67220]) ).
tff(c_67327,plain,
multiply(sk_c1,sk_c2) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67220,c_66501]) ).
tff(c_67529,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_67337,c_67327]) ).
tff(c_66633,plain,
! [X_2,Z_479] : ( multiply(inverse(X_2),multiply(X_2,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_66620]) ).
tff(c_67596,plain,
! [X_498,Z_499] : ( multiply(inverse(inverse(X_498)),Z_499) = multiply(X_498,Z_499) ),
inference(superposition,[status(thm),theory(equality)],[c_67232,c_66633]) ).
tff(c_67304,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_67232]) ).
tff(c_67651,plain,
! [X_500] : ( multiply(X_500,identity) = X_500 ),
inference(superposition,[status(thm),theory(equality)],[c_67596,c_67304]) ).
tff(c_67298,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_67232]) ).
tff(c_67661,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_67651,c_67298]) ).
tff(c_67741,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_67661,c_4]) ).
tff(c_67747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67529,c_67741]) ).
tff(c_67749,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_67993,plain,
multiply(identity,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_67982,c_67749]) ).
tff(c_68001,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_67993]) ).
tff(c_68036,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_68033,c_68001]) ).
tff(c_67939,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_66555,c_67897]) ).
tff(c_67984,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_66500,c_67939]) ).
tff(c_68100,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68033,c_2,c_68033,c_67984]) ).
tff(c_68101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68036,c_68100]) ).
tff(c_68103,plain,
inverse(sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_68144,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68103,c_12]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_68122,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_68103,c_14]) ).
tff(c_68126,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68122,c_4]) ).
tff(c_68179,plain,
! [X_511,Y_512,Z_513] : ( multiply(multiply(X_511,Y_512),Z_513) = multiply(X_511,multiply(Y_512,Z_513)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_68203,plain,
! [Z_513] : ( multiply(sk_c7,multiply(sk_c4,Z_513)) = multiply(identity,Z_513) ),
inference(superposition,[status(thm),theory(equality)],[c_68126,c_68179]) ).
tff(c_68242,plain,
! [Z_515] : ( multiply(sk_c7,multiply(sk_c4,Z_515)) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68203]) ).
tff(c_68254,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68144,c_68242]) ).
tff(c_68215,plain,
! [X_2,Z_513] : ( multiply(inverse(X_2),multiply(X_2,Z_513)) = multiply(identity,Z_513) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_68179]) ).
tff(c_68346,plain,
! [X_519,Z_520] : ( multiply(inverse(X_519),multiply(X_519,Z_520)) = Z_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68215]) ).
tff(c_68382,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_68254,c_68346]) ).
tff(c_68437,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68382]) ).
tff(c_68265,plain,
! [Z_516] : ( multiply(sk_c4,multiply(sk_c7,Z_516)) = multiply(sk_c6,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_68144,c_68179]) ).
tff(c_68280,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_68254,c_68265]) ).
tff(c_68290,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_68144,c_68280]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_68164,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68103,c_18]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_68111,plain,
inverse(sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_68112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68103,c_68111]) ).
tff(c_68113,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_68118,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68113,c_4]) ).
tff(c_68206,plain,
! [Z_513] : ( multiply(sk_c6,multiply(sk_c5,Z_513)) = multiply(identity,Z_513) ),
inference(superposition,[status(thm),theory(equality)],[c_68118,c_68179]) ).
tff(c_68329,plain,
! [Z_518] : ( multiply(sk_c6,multiply(sk_c5,Z_518)) = Z_518 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68206]) ).
tff(c_68341,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68164,c_68329]) ).
tff(c_68345,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_68290,c_68341]) ).
tff(c_68450,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_68345,c_68103]) ).
tff(c_68561,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_68437,c_68437,c_68450]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_68159,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_68103,c_8]) ).
tff(c_68102,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_68107,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68102,c_4]) ).
tff(c_68209,plain,
! [Z_513] : ( multiply(sk_c8,multiply(sk_c3,Z_513)) = multiply(identity,Z_513) ),
inference(superposition,[status(thm),theory(equality)],[c_68107,c_68179]) ).
tff(c_68298,plain,
! [Z_517] : ( multiply(sk_c8,multiply(sk_c3,Z_517)) = Z_517 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68209]) ).
tff(c_68310,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68159,c_68298]) ).
tff(c_68370,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68310,c_68346]) ).
tff(c_68434,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68370]) ).
tff(c_68516,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68434,c_68122]) ).
tff(c_68568,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68516,c_4]) ).
tff(c_68227,plain,
! [X_2,Z_513] : ( multiply(inverse(X_2),multiply(X_2,Z_513)) = Z_513 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68215]) ).
tff(c_68576,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_68568,c_68227]) ).
tff(c_68588,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68576]) ).
tff(c_68592,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68588,c_68516]) ).
tff(c_68595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68561,c_68592]) ).
tff(c_68597,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_82706,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68597,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_68609,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_68597,c_38]) ).
tff(c_68613,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68609,c_4]) ).
tff(c_82738,plain,
! [X_690,Y_691,Z_692] : ( multiply(multiply(X_690,Y_691),Z_692) = multiply(X_690,multiply(Y_691,Z_692)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_82765,plain,
! [Z_692] : ( multiply(sk_c7,multiply(sk_c4,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_68613,c_82738]) ).
tff(c_82807,plain,
! [Z_694] : ( multiply(sk_c7,multiply(sk_c4,Z_694)) = Z_694 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82765]) ).
tff(c_82819,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_82706,c_82807]) ).
tff(c_82771,plain,
! [X_2,Z_692] : ( multiply(inverse(X_2),multiply(X_2,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_82738]) ).
tff(c_82853,plain,
! [X_696,Z_697] : ( multiply(inverse(X_696),multiply(X_696,Z_697)) = Z_697 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82771]) ).
tff(c_82877,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_82819,c_82853]) ).
tff(c_82926,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_82877]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_82701,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68597,c_42]) ).
tff(c_68596,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_68601,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68596,c_4]) ).
tff(c_82768,plain,
! [Z_692] : ( multiply(sk_c6,multiply(sk_c5,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_68601,c_82738]) ).
tff(c_82830,plain,
! [Z_695] : ( multiply(sk_c6,multiply(sk_c5,Z_695)) = Z_695 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82768]) ).
tff(c_82842,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_82701,c_82830]) ).
tff(c_82934,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_82926,c_82926,c_82842]) ).
tff(c_82942,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82934]) ).
tff(c_68683,plain,
! [X_523,Y_524,Z_525] : ( multiply(multiply(X_523,Y_524),Z_525) = multiply(X_523,multiply(Y_524,Z_525)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_68719,plain,
! [X_2,Z_525] : ( multiply(inverse(X_2),multiply(X_2,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_68683]) ).
tff(c_68731,plain,
! [X_2,Z_525] : ( multiply(inverse(X_2),multiply(X_2,Z_525)) = Z_525 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68719]) ).
tff(c_71329,plain,
! [X_575,Z_576] : ( multiply(inverse(X_575),multiply(X_575,Z_576)) = Z_576 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68719]) ).
tff(c_71478,plain,
! [X_579,Z_580] : ( multiply(inverse(inverse(X_579)),Z_580) = multiply(X_579,Z_580) ),
inference(superposition,[status(thm),theory(equality)],[c_68731,c_71329]) ).
tff(c_71359,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_71329]) ).
tff(c_71485,plain,
! [X_579] : ( multiply(X_579,identity) = X_579 ),
inference(superposition,[status(thm),theory(equality)],[c_71478,c_71359]) ).
tff(c_68617,plain,
inverse(sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_68621,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68617,c_4]) ).
tff(c_68669,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68597,c_42]) ).
tff(c_68716,plain,
! [Z_525] : ( multiply(sk_c6,multiply(sk_c5,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_68601,c_68683]) ).
tff(c_69069,plain,
! [Z_532] : ( multiply(sk_c6,multiply(sk_c5,Z_532)) = Z_532 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68716]) ).
tff(c_69081,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68669,c_69069]) ).
tff(c_68710,plain,
! [Z_525] : ( multiply(sk_c8,multiply(sk_c6,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_68621,c_68683]) ).
tff(c_69159,plain,
! [Z_535] : ( multiply(sk_c8,multiply(sk_c6,Z_535)) = Z_535 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68710]) ).
tff(c_69174,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_69081,c_69159]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_68659,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_68597,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_68634,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_68597,c_34]) ).
tff(c_68638,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68634,c_4]) ).
tff(c_68707,plain,
! [Z_525] : ( multiply(sk_c8,multiply(sk_c3,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_68638,c_68683]) ).
tff(c_68733,plain,
! [Z_526] : ( multiply(sk_c8,multiply(sk_c3,Z_526)) = Z_526 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68707]) ).
tff(c_68745,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68659,c_68733]) ).
tff(c_68798,plain,
! [X_529,Z_530] : ( multiply(inverse(X_529),multiply(X_529,Z_530)) = Z_530 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68719]) ).
tff(c_68825,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68745,c_68798]) ).
tff(c_68876,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68825]) ).
tff(c_68653,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68597,c_36]) ).
tff(c_68840,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68653,c_68798]) ).
tff(c_68879,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_68609,c_68840]) ).
tff(c_68905,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68876,c_2,c_68876,c_68879]) ).
tff(c_68759,plain,
! [Z_527] : ( multiply(sk_c6,multiply(sk_c5,Z_527)) = Z_527 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68716]) ).
tff(c_68771,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68669,c_68759]) ).
tff(c_68906,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_68905,c_68905,c_68771]) ).
tff(c_68913,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68906]) ).
tff(c_68750,plain,
! [X5_6,X2_9,X1_8,X3_7] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68617,c_68]) ).
tff(c_68751,plain,
multiply(sk_c6,sk_c7) != sk_c8,
inference(splitLeft,[status(thm)],[c_68750]) ).
tff(c_68886,plain,
multiply(sk_c6,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_68876,c_68751]) ).
tff(c_69052,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68913,c_2,c_68905,c_68886]) ).
tff(c_69054,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_68750]) ).
tff(c_69180,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_69054,c_69159]) ).
tff(c_69355,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_69174,c_69180]) ).
tff(c_69371,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_69355,c_68745]) ).
tff(c_69377,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68621,c_69371]) ).
tff(c_69383,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_69377,c_69377,c_69174]) ).
tff(c_69393,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69383]) ).
tff(c_69458,plain,
! [X_539,Z_540] : ( multiply(inverse(X_539),multiply(X_539,Z_540)) = Z_540 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68719]) ).
tff(c_69596,plain,
! [X_542,Z_543] : ( multiply(inverse(inverse(X_542)),Z_543) = multiply(X_542,Z_543) ),
inference(superposition,[status(thm),theory(equality)],[c_69458,c_68731]) ).
tff(c_69617,plain,
! [X_542] : ( multiply(X_542,inverse(X_542)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_69596,c_4]) ).
tff(c_69491,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69458]) ).
tff(c_69603,plain,
! [X_542] : ( multiply(X_542,identity) = X_542 ),
inference(superposition,[status(thm),theory(equality)],[c_69596,c_69491]) ).
tff(c_68713,plain,
! [Z_525] : ( multiply(sk_c7,multiply(sk_c4,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_68613,c_68683]) ).
tff(c_69128,plain,
! [Z_534] : ( multiply(sk_c7,multiply(sk_c4,Z_534)) = Z_534 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68713]) ).
tff(c_69140,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68653,c_69128]) ).
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_69220,plain,
! [Z_536] : ( multiply(sk_c6,multiply(sk_c7,Z_536)) = multiply(sk_c8,Z_536) ),
inference(superposition,[status(thm),theory(equality)],[c_69054,c_6]) ).
tff(c_69238,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_69140,c_69220]) ).
tff(c_69252,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69054,c_68621,c_69238]) ).
tff(c_69183,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_68601,c_69159]) ).
tff(c_69273,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_69252,c_69183]) ).
tff(c_69283,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69273]) ).
tff(c_69272,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_69252,c_69252,c_69174]) ).
tff(c_69282,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69272]) ).
tff(c_69292,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69282,c_68596]) ).
tff(c_69321,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69283,c_69292]) ).
tff(c_69053,plain,
! [X3_7,X1_8,X2_9,X5_6] :
( ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c6 )
| ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_68750]) ).
tff(c_69187,plain,
! [X5_6] :
( ( multiply(X5_6,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_69053]) ).
tff(c_69302,plain,
! [X5_537] :
( ( multiply(X5_537,identity) != identity )
| ( inverse(X5_537) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69282,c_69282,c_69252,c_69187]) ).
tff(c_69316,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_69302]) ).
tff(c_69332,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_69321,c_69316]) ).
tff(c_69333,plain,
! [X2_9,X1_8,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 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_69053]) ).
tff(c_69399,plain,
! [X2_9,X1_8,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c6 )
| ( multiply(inverse(X3_7),sk_c6) != identity )
| ( multiply(X3_7,inverse(X3_7)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69377,c_69377,c_69355,c_69377,c_69355,c_69377,c_69355,c_69355,c_69333]) ).
tff(c_69400,plain,
! [X3_7] :
( ( multiply(inverse(X3_7),sk_c6) != identity )
| ( multiply(X3_7,inverse(X3_7)) != identity ) ),
inference(splitLeft,[status(thm)],[c_69399]) ).
tff(c_71267,plain,
! [X3_7] : ( inverse(X3_7) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_69617,c_69603,c_69393,c_69400]) ).
tff(c_69384,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_69377,c_69183]) ).
tff(c_69394,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69384]) ).
tff(c_69403,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_69394,c_68596]) ).
tff(c_69432,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69393,c_69403]) ).
tff(c_71269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71267,c_69432]) ).
tff(c_71270,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_69399]) ).
tff(c_82668,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71485,c_69393,c_69393,c_69393,c_71485,c_69393,c_71270]) ).
tff(c_82670,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_82668]) ).
tff(c_71273,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_69394,c_68596]) ).
tff(c_71304,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69393,c_71273]) ).
tff(c_82672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82670,c_71304]) ).
tff(c_82674,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_82668]) ).
tff(c_82676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82674,c_71304]) ).
tff(c_82678,plain,
inverse(sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_82939,plain,
inverse(identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_82926,c_82678]) ).
tff(c_82999,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_82942,c_82939]) ).
tff(c_82677,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_82682,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_82677,c_4]) ).
tff(c_82993,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_82942,c_82682]) ).
tff(c_82782,plain,
! [X_2,Z_692] : ( multiply(inverse(X_2),multiply(X_2,Z_692)) = Z_692 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_82771]) ).
tff(c_83051,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_82993,c_82782]) ).
tff(c_83063,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_83051]) ).
tff(c_82994,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_82942,c_82677]) ).
tff(c_83067,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_83063,c_82994]) ).
tff(c_83070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82999,c_83067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP391-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:27:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 19.34/8.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.53/8.22
% 19.53/8.22 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.74/8.29
% 19.74/8.29 Inference rules
% 19.74/8.29 ----------------------
% 19.74/8.29 #Ref : 0
% 19.74/8.29 #Sup : 20014
% 19.74/8.29 #Fact : 0
% 19.74/8.29 #Define : 0
% 19.74/8.29 #Split : 30
% 19.74/8.29 #Chain : 0
% 19.74/8.29 #Close : 0
% 19.74/8.29
% 19.74/8.29 Ordering : KBO
% 19.74/8.29
% 19.74/8.29 Simplification rules
% 19.74/8.29 ----------------------
% 19.74/8.29 #Subsume : 13
% 19.74/8.29 #Demod : 61154
% 19.74/8.29 #Tautology : 16249
% 19.74/8.29 #SimpNegUnit : 84
% 19.74/8.29 #BackRed : 534
% 19.74/8.29
% 19.74/8.29 #Partial instantiations: 0
% 19.74/8.29 #Strategies tried : 1
% 19.74/8.29
% 19.74/8.29 Timing (in seconds)
% 19.74/8.29 ----------------------
% 19.74/8.29 Preprocessing : 0.51
% 19.74/8.29 Parsing : 0.21
% 19.74/8.29 CNF conversion : 0.02
% 19.74/8.29 Main loop : 6.49
% 19.74/8.29 Inferencing : 1.55
% 19.74/8.29 Reduction : 3.86
% 19.74/8.29 Demodulation : 3.57
% 19.74/8.29 BG Simplification : 0.13
% 19.74/8.29 Subsumption : 0.65
% 19.74/8.29 Abstraction : 0.34
% 19.74/8.29 MUC search : 0.00
% 19.74/8.29 Cooper : 0.00
% 19.74/8.29 Total : 7.16
% 19.74/8.29 Index Insertion : 0.00
% 19.74/8.29 Index Deletion : 0.00
% 19.74/8.29 Index Matching : 0.00
% 19.74/8.29 BG Taut test : 0.00
%------------------------------------------------------------------------------