TSTP Solution File: GRP335-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP335-1 : 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 : n025.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 10:40:58 EDT 2023
% Result : Unsatisfiable 13.12s 4.68s
% Output : CNFRefutation 13.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 41
% Syntax : Number of formulae : 427 ( 345 unt; 11 typ; 0 def)
% Number of atoms : 587 ( 565 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 351 ( 180 ~; 171 |; 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 : 206 (; 206 !; 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_71,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X5,sk_c8) != X2 )
| ( inverse(X5) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
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_26435,plain,
! [X_343,Y_344,Z_345] : ( multiply(multiply(X_343,Y_344),Z_345) = multiply(X_343,multiply(Y_344,Z_345)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26471,plain,
! [X_2,Z_345] : ( multiply(inverse(X_2),multiply(X_2,Z_345)) = multiply(identity,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26435]) ).
tff(c_26668,plain,
! [X_349,Z_350] : ( multiply(inverse(X_349),multiply(X_349,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26471]) ).
tff(c_26482,plain,
! [X_2,Z_345] : ( multiply(inverse(X_2),multiply(X_2,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26471]) ).
tff(c_27074,plain,
! [X_353,Z_354] : ( multiply(inverse(inverse(X_353)),Z_354) = multiply(X_353,Z_354) ),
inference(superposition,[status(thm),theory(equality)],[c_26668,c_26482]) ).
tff(c_26698,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26668]) ).
tff(c_27081,plain,
! [X_353] : ( multiply(X_353,identity) = X_353 ),
inference(superposition,[status(thm),theory(equality)],[c_27074,c_26698]) ).
tff(c_16958,plain,
! [X_219,Y_220,Z_221] : ( multiply(multiply(X_219,Y_220),Z_221) = multiply(X_219,multiply(Y_220,Z_221)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16994,plain,
! [X_2,Z_221] : ( multiply(inverse(X_2),multiply(X_2,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16958]) ).
tff(c_18674,plain,
! [X_255,Z_256] : ( multiply(inverse(X_255),multiply(X_255,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16994]) ).
tff(c_17005,plain,
! [X_2,Z_221] : ( multiply(inverse(X_2),multiply(X_2,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16994]) ).
tff(c_18987,plain,
! [X_259,Z_260] : ( multiply(inverse(inverse(X_259)),Z_260) = multiply(X_259,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_18674,c_17005]) ).
tff(c_18716,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18674]) ).
tff(c_18994,plain,
! [X_259] : ( multiply(X_259,identity) = X_259 ),
inference(superposition,[status(thm),theory(equality)],[c_18987,c_18716]) ).
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_296,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_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_513,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_189]) ).
tff(c_329,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_296]) ).
tff(c_520,plain,
! [X_21] : ( multiply(X_21,identity) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_513,c_329]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_115,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_48,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_126,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_176,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_214,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_126,c_214]) ).
tff(c_230,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_115,c_226]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_121,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_173,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_121,c_191]) ).
tff(c_232,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_203]) ).
tff(c_381,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_232,c_189]) ).
tff(c_387,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_381]) ).
tff(c_68,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( 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 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_252,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( 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 )
| ( multiply(sk_c8,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c8 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 )
| ( multiply(sk_c6,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_68]) ).
tff(c_253,plain,
multiply(sk_c6,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_252]) ).
tff(c_236,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_115]) ).
tff(c_270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_253,c_236]) ).
tff(c_272,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_317,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_272,c_296]) ).
tff(c_336,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_317]) ).
tff(c_271,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c8,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X4_10,sk_c6) != sk_c8 )
| ( 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 ) ),
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_7980,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_520,c_387,c_336,c_2,c_336,c_336,c_520,c_387,c_336,c_336,c_520,c_387,c_336,c_387,c_520,c_387,c_387,c_387,c_2,c_336,c_271]) ).
tff(c_7982,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7980]) ).
tff(c_238,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_98]) ).
tff(c_276,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_238,c_4]) ).
tff(c_428,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_387,c_276]) ).
tff(c_394,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_387,c_238]) ).
tff(c_429,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_394]) ).
tff(c_7984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7982,c_429]) ).
tff(c_7985,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_7980]) ).
tff(c_12671,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7985]) ).
tff(c_12673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12671,c_429]) ).
tff(c_12674,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_7985]) ).
tff(c_12676,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_12674]) ).
tff(c_12678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12676,c_429]) ).
tff(c_13439,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_12674]) ).
tff(c_13441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13439,c_429]) ).
tff(c_13443,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_13490,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13443,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_13485,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13443,c_46]) ).
tff(c_13442,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_13447,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13442,c_4]) ).
tff(c_13500,plain,
! [X_142,Y_143,Z_144] : ( multiply(multiply(X_142,Y_143),Z_144) = multiply(X_142,multiply(Y_143,Z_144)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13530,plain,
! [Z_144] : ( multiply(sk_c8,multiply(sk_c3,Z_144)) = multiply(identity,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_13447,c_13500]) ).
tff(c_13738,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c3,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13530]) ).
tff(c_13750,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13485,c_13738]) ).
tff(c_13754,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13490,c_13750]) ).
tff(c_13800,plain,
multiply(sk_c7,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13754,c_115]) ).
tff(c_13539,plain,
! [Z_144] : ( multiply(sk_c7,multiply(sk_c1,Z_144)) = multiply(identity,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13500]) ).
tff(c_13559,plain,
! [Z_145] : ( multiply(sk_c7,multiply(sk_c1,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13539]) ).
tff(c_13571,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_121,c_13559]) ).
tff(c_13851,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13800,c_13571]) ).
tff(c_13792,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13754,c_13490]) ).
tff(c_13864,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13851,c_13792]) ).
tff(c_13545,plain,
! [X_2,Z_144] : ( multiply(inverse(X_2),multiply(X_2,Z_144)) = multiply(identity,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13500]) ).
tff(c_13557,plain,
! [X_2,Z_144] : ( multiply(inverse(X_2),multiply(X_2,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13545]) ).
tff(c_13954,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13864,c_13557]) ).
tff(c_13960,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13954]) ).
tff(c_13873,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13851,c_85]) ).
tff(c_13888,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13873,c_4]) ).
tff(c_13981,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13960,c_13888]) ).
tff(c_13798,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13754,c_13443]) ).
tff(c_13863,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13851,c_13798]) ).
tff(c_14057,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13981,c_13960,c_13960,c_13863]) ).
tff(c_14059,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_14792,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14059,c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_14784,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14059,c_28]) ).
tff(c_14058,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_14063,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14058,c_4]) ).
tff(c_14816,plain,
! [X_168,Y_169,Z_170] : ( multiply(multiply(X_168,Y_169),Z_170) = multiply(X_168,multiply(Y_169,Z_170)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14846,plain,
! [Z_170] : ( multiply(sk_c8,multiply(sk_c4,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_14063,c_14816]) ).
tff(c_15056,plain,
! [Z_177] : ( multiply(sk_c8,multiply(sk_c4,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14846]) ).
tff(c_15068,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14784,c_15056]) ).
tff(c_15072,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14792,c_15068]) ).
tff(c_20,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_14806,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14059,c_20]) ).
tff(c_15163,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15072,c_14806]) ).
tff(c_14067,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_14121,plain,
! [X_155,Y_156,Z_157] : ( multiply(multiply(X_155,Y_156),Z_157) = multiply(X_155,multiply(Y_156,Z_157)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14163,plain,
! [Z_157] : ( multiply(sk_c7,multiply(sk_c2,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_14121]) ).
tff(c_14372,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c2,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14163]) ).
tff(c_14384,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14067,c_14372]) ).
tff(c_14388,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_115,c_14384]) ).
tff(c_14094,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14059,c_20]) ).
tff(c_14393,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14388,c_14094]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_14109,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14059,c_22]) ).
tff(c_14391,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14388,c_14109]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_14076,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14059,c_24]) ).
tff(c_14080,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14076,c_4]) ).
tff(c_14148,plain,
! [Z_157] : ( multiply(sk_c8,multiply(sk_c3,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_14080,c_14121]) ).
tff(c_14474,plain,
! [Z_164] : ( multiply(sk_c8,multiply(sk_c3,Z_164)) = Z_164 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14148]) ).
tff(c_14486,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14391,c_14474]) ).
tff(c_14490,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14393,c_14486]) ).
tff(c_14493,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14490,c_14393]) ).
tff(c_14166,plain,
! [X_2,Z_157] : ( multiply(inverse(X_2),multiply(X_2,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14121]) ).
tff(c_14178,plain,
! [X_2,Z_157] : ( multiply(inverse(X_2),multiply(X_2,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14166]) ).
tff(c_14569,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14493,c_14178]) ).
tff(c_14575,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14569]) ).
tff(c_14397,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14388,c_102]) ).
tff(c_14582,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14575,c_14397]) ).
tff(c_14682,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_14582,c_14178]) ).
tff(c_14694,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14682]) ).
tff(c_14395,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14388,c_14059]) ).
tff(c_14581,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14575,c_14575,c_14395]) ).
tff(c_14758,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14694,c_14581]) ).
tff(c_14760,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_14797,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14760,c_46]) ).
tff(c_15164,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15072,c_14797]) ).
tff(c_14759,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_14764,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14759,c_4]) ).
tff(c_14843,plain,
! [Z_170] : ( multiply(sk_c8,multiply(sk_c3,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_14764,c_14816]) ).
tff(c_14866,plain,
! [Z_170] : ( multiply(sk_c8,multiply(sk_c3,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14843]) ).
tff(c_15241,plain,
! [Z_179] : ( multiply(sk_c7,multiply(sk_c3,Z_179)) = Z_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_15072,c_14866]) ).
tff(c_15253,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15164,c_15241]) ).
tff(c_15257,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15163,c_15253]) ).
tff(c_15262,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15257,c_15257,c_15163]) ).
tff(c_14858,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14816]) ).
tff(c_14870,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14858]) ).
tff(c_15366,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15262,c_14870]) ).
tff(c_15372,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15366]) ).
tff(c_15274,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15257,c_89]) ).
tff(c_15463,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15372,c_15274]) ).
tff(c_15169,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15072,c_14760]) ).
tff(c_15263,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15257,c_15257,c_15169]) ).
tff(c_15455,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15372,c_15372,c_15263]) ).
tff(c_15464,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15463,c_15455]) ).
tff(c_15468,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15464]) ).
tff(c_15470,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_16601,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15470,c_14]) ).
tff(c_15483,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_15538,plain,
! [X_182,Y_183,Z_184] : ( multiply(multiply(X_182,Y_183),Z_184) = multiply(X_182,multiply(Y_183,Z_184)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15577,plain,
! [Z_184] : ( multiply(sk_c7,multiply(sk_c1,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_15538]) ).
tff(c_15597,plain,
! [Z_185] : ( multiply(sk_c7,multiply(sk_c1,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15577]) ).
tff(c_15609,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15483,c_15597]) ).
tff(c_15583,plain,
! [X_2,Z_184] : ( multiply(inverse(X_2),multiply(X_2,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15538]) ).
tff(c_15744,plain,
! [X_189,Z_190] : ( multiply(inverse(X_189),multiply(X_189,Z_190)) = Z_190 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15583]) ).
tff(c_15777,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15609,c_15744]) ).
tff(c_15810,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15777]) ).
tff(c_8,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_15519,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15470,c_8]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_15526,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15470,c_10]) ).
tff(c_15469,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_15474,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15469,c_4]) ).
tff(c_15574,plain,
! [Z_184] : ( multiply(sk_c8,multiply(sk_c3,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_15474,c_15538]) ).
tff(c_15646,plain,
! [Z_187] : ( multiply(sk_c8,multiply(sk_c3,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15574]) ).
tff(c_15658,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15526,c_15646]) ).
tff(c_15662,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15519,c_15658]) ).
tff(c_15704,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15662,c_15519]) ).
tff(c_15762,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15704,c_15744]) ).
tff(c_15808,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15762]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_15506,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_15580,plain,
! [Z_184] : ( multiply(sk_c7,multiply(sk_c2,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_15538]) ).
tff(c_15620,plain,
! [Z_186] : ( multiply(sk_c7,multiply(sk_c2,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15580]) ).
tff(c_15632,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15506,c_15620]) ).
tff(c_15638,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15632,c_15470]) ).
tff(c_15816,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15808,c_15638]) ).
tff(c_15837,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15810,c_15816]) ).
tff(c_15839,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_15852,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15839,c_44]) ).
tff(c_15861,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15470,c_10]) ).
tff(c_15871,plain,
! [X_191,Y_192,Z_193] : ( multiply(multiply(X_191,Y_192),Z_193) = multiply(X_191,multiply(Y_192,Z_193)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15904,plain,
! [Z_193] : ( multiply(sk_c8,multiply(sk_c3,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_15474,c_15871]) ).
tff(c_15965,plain,
! [Z_196] : ( multiply(sk_c8,multiply(sk_c3,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15904]) ).
tff(c_15977,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15861,c_15965]) ).
tff(c_15981,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15852,c_15977]) ).
tff(c_15984,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15981,c_15852]) ).
tff(c_15913,plain,
! [X_2,Z_193] : ( multiply(inverse(X_2),multiply(X_2,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15871]) ).
tff(c_16058,plain,
! [X_198,Z_199] : ( multiply(inverse(X_198),multiply(X_198,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15913]) ).
tff(c_16079,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15984,c_16058]) ).
tff(c_16125,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16079]) ).
tff(c_15907,plain,
! [Z_193] : ( multiply(sk_c7,multiply(sk_c1,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_15871]) ).
tff(c_15927,plain,
! [Z_194] : ( multiply(sk_c7,multiply(sk_c1,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15907]) ).
tff(c_15939,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15483,c_15927]) ).
tff(c_16094,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15939,c_16058]) ).
tff(c_16127,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16094]) ).
tff(c_15991,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15981,c_15470]) ).
tff(c_15993,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15939,c_15991]) ).
tff(c_16135,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16127,c_15993]) ).
tff(c_16167,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16125,c_16135]) ).
tff(c_16169,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_16202,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16169,c_20]) ).
tff(c_16211,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15470,c_10]) ).
tff(c_16226,plain,
! [X_200,Y_201,Z_202] : ( multiply(multiply(X_200,Y_201),Z_202) = multiply(X_200,multiply(Y_201,Z_202)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16259,plain,
! [Z_202] : ( multiply(sk_c8,multiply(sk_c3,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_15474,c_16226]) ).
tff(c_16360,plain,
! [Z_206] : ( multiply(sk_c8,multiply(sk_c3,Z_206)) = Z_206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16259]) ).
tff(c_16372,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16211,c_16360]) ).
tff(c_16376,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16202,c_16372]) ).
tff(c_16383,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16376,c_16202]) ).
tff(c_16268,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16226]) ).
tff(c_16280,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16268]) ).
tff(c_16510,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16383,c_16280]) ).
tff(c_16516,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16510]) ).
tff(c_16190,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_16265,plain,
! [Z_202] : ( multiply(sk_c7,multiply(sk_c2,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_16226]) ).
tff(c_16284,plain,
! [Z_203] : ( multiply(sk_c7,multiply(sk_c2,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16265]) ).
tff(c_16296,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16190,c_16284]) ).
tff(c_16300,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16296,c_15470]) ).
tff(c_16521,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16516,c_16300]) ).
tff(c_16527,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16516,c_85]) ).
tff(c_16385,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16376,c_16190]) ).
tff(c_16582,plain,
multiply(sk_c2,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16516,c_16385]) ).
tff(c_16586,plain,
multiply(inverse(sk_c2),sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16582,c_16280]) ).
tff(c_16592,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16527,c_16586]) ).
tff(c_16594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16521,c_16592]) ).
tff(c_16595,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_16168,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_16173,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16168,c_4]) ).
tff(c_16632,plain,
! [X_210,Y_211,Z_212] : ( multiply(multiply(X_210,Y_211),Z_212) = multiply(X_210,multiply(Y_211,Z_212)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16659,plain,
! [Z_212] : ( multiply(sk_c8,multiply(sk_c4,Z_212)) = multiply(identity,Z_212) ),
inference(superposition,[status(thm),theory(equality)],[c_16173,c_16632]) ).
tff(c_16713,plain,
! [Z_215] : ( multiply(sk_c8,multiply(sk_c4,Z_215)) = Z_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16659]) ).
tff(c_16725,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16595,c_16713]) ).
tff(c_16729,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16601,c_16725]) ).
tff(c_16596,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_16611,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16596,c_44]) ).
tff(c_16757,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16729,c_16611]) ).
tff(c_16765,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16729,c_15470]) ).
tff(c_16890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16757,c_16765]) ).
tff(c_16892,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_32,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_16932,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16892,c_32]) ).
tff(c_34,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_16921,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16892,c_34]) ).
tff(c_36,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_16904,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16892,c_36]) ).
tff(c_16908,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16904,c_4]) ).
tff(c_16985,plain,
! [Z_221] : ( multiply(sk_c8,multiply(sk_c3,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_16908,c_16958]) ).
tff(c_17007,plain,
! [Z_222] : ( multiply(sk_c8,multiply(sk_c3,Z_222)) = Z_222 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16985]) ).
tff(c_17019,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16921,c_17007]) ).
tff(c_17023,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16932,c_17019]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_16937,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_16892,c_40]) ).
tff(c_17162,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_16937]) ).
tff(c_16891,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_16896,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16891,c_4]) ).
tff(c_16988,plain,
! [Z_221] : ( multiply(sk_c8,multiply(sk_c4,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_16896,c_16958]) ).
tff(c_17003,plain,
! [Z_221] : ( multiply(sk_c8,multiply(sk_c4,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16988]) ).
tff(c_18639,plain,
! [Z_254] : ( multiply(sk_c6,multiply(sk_c4,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_17003]) ).
tff(c_18651,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17162,c_18639]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_16916,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16892,c_38]) ).
tff(c_17165,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_16916]) ).
tff(c_18655,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18651,c_17165]) ).
tff(c_17163,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_16932]) ).
tff(c_18664,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18655,c_17163]) ).
tff(c_18768,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18664,c_17005]) ).
tff(c_18774,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18768]) ).
tff(c_18781,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18774,c_18655]) ).
tff(c_17293,plain,
! [X_227,Z_228] : ( multiply(inverse(X_227),multiply(X_227,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16994]) ).
tff(c_17606,plain,
! [X_231,Z_232] : ( multiply(inverse(inverse(X_231)),Z_232) = multiply(X_231,Z_232) ),
inference(superposition,[status(thm),theory(equality)],[c_17293,c_17005]) ).
tff(c_17335,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17293]) ).
tff(c_17613,plain,
! [X_231] : ( multiply(X_231,identity) = X_231 ),
inference(superposition,[status(thm),theory(equality)],[c_17606,c_17335]) ).
tff(c_17258,plain,
! [Z_226] : ( multiply(sk_c6,multiply(sk_c4,Z_226)) = Z_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_17003]) ).
tff(c_17270,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17162,c_17258]) ).
tff(c_17274,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17270,c_17165]) ).
tff(c_17283,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17274,c_17163]) ).
tff(c_17387,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17283,c_17005]) ).
tff(c_17393,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17387]) ).
tff(c_17400,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17393,c_17274]) ).
tff(c_17029,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_16932]) ).
tff(c_17091,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_16994]) ).
tff(c_17109,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17029,c_17091]) ).
tff(c_17146,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17109]) ).
tff(c_17025,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( 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(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16932,c_68]) ).
tff(c_17026,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_17025]) ).
tff(c_17062,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_17026]) ).
tff(c_17152,plain,
multiply(identity,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17146,c_17062]) ).
tff(c_17158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17152]) ).
tff(c_17159,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( 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 ) ),
inference(splitRight,[status(thm)],[c_17025]) ).
tff(c_17226,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( 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(demodulation,[status(thm),theory(equality)],[c_17023,c_17023,c_17023,c_17023,c_17023,c_17023,c_17159]) ).
tff(c_17227,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_17226]) ).
tff(c_18605,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17613,c_17400,c_17393,c_2,c_17393,c_17393,c_17227]) ).
tff(c_17169,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17023,c_16891]) ).
tff(c_17403,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17393,c_17169]) ).
tff(c_17443,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17403,c_4]) ).
tff(c_17461,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_17443,c_17005]) ).
tff(c_17473,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17461]) ).
tff(c_17477,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17473,c_17403]) ).
tff(c_18607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18605,c_17477]) ).
tff(c_18608,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_17226]) ).
tff(c_26340,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18994,c_18781,c_18774,c_18781,c_18994,c_18781,c_18774,c_18781,c_18994,c_18781,c_18774,c_18774,c_18608]) ).
tff(c_26342,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26340]) ).
tff(c_18784,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18774,c_17169]) ).
tff(c_18824,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18784,c_4]) ).
tff(c_18842,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18824,c_17005]) ).
tff(c_18854,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18842]) ).
tff(c_18858,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18854,c_18784]) ).
tff(c_26344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26342,c_18858]) ).
tff(c_26345,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_26340]) ).
tff(c_26347,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26345]) ).
tff(c_26349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26347,c_18858]) ).
tff(c_26352,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_26345]) ).
tff(c_26354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26352,c_18858]) ).
tff(c_26356,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_56,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_26382,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26356,c_56]) ).
tff(c_58,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_26403,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26356,c_58]) ).
tff(c_60,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_26368,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_26356,c_60]) ).
tff(c_26372,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26368,c_4]) ).
tff(c_26465,plain,
! [Z_345] : ( multiply(sk_c8,multiply(sk_c3,Z_345)) = multiply(identity,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_26372,c_26435]) ).
tff(c_26484,plain,
! [Z_346] : ( multiply(sk_c8,multiply(sk_c3,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26465]) ).
tff(c_26496,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26403,c_26484]) ).
tff(c_26500,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26382,c_26496]) ).
tff(c_26505,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26500,c_26382]) ).
tff(c_26761,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26505,c_26482]) ).
tff(c_26767,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26761]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_26412,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26356,c_62]) ).
tff(c_26503,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26500,c_26412]) ).
tff(c_26827,plain,
multiply(sk_c6,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26767,c_26503]) ).
tff(c_26355,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_26509,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26500,c_26355]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_26418,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_26356,c_64]) ).
tff(c_26502,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26500,c_26418]) ).
tff(c_26817,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26502,c_26482]) ).
tff(c_26823,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26509,c_26817]) ).
tff(c_26872,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26827,c_26823]) ).
tff(c_26551,plain,
! [X_347,Z_348] : ( multiply(inverse(X_347),multiply(X_347,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26471]) ).
tff(c_26572,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26505,c_26551]) ).
tff(c_26601,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26572]) ).
tff(c_26514,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( 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 )
| ( multiply(sk_c6,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26500,c_26500,c_26500,c_26500,c_26500,c_26500,c_26500,c_26500,c_68]) ).
tff(c_26515,plain,
multiply(sk_c7,sk_c6) != sk_c6,
inference(splitLeft,[status(thm)],[c_26514]) ).
tff(c_26658,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26601,c_26515]) ).
tff(c_26659,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c6,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( 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_26514]) ).
tff(c_33887,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27081,c_26872,c_2,c_26872,c_26767,c_26872,c_27081,c_26872,c_26767,c_26872,c_27081,c_26872,c_26767,c_26767,c_27081,c_26872,c_26767,c_26767,c_26872,c_2,c_26872,c_26767,c_26659]) ).
tff(c_33889,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_33887]) ).
tff(c_26506,plain,
multiply(sk_c6,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26500,c_26372]) ).
tff(c_26878,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26872,c_26506]) ).
tff(c_26943,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_26878,c_26482]) ).
tff(c_26955,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26943]) ).
tff(c_26507,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26500,c_26368]) ).
tff(c_26880,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26872,c_26507]) ).
tff(c_26959,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26955,c_26880]) ).
tff(c_33891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33889,c_26959]) ).
tff(c_33892,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_33887]) ).
tff(c_36151,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_33892]) ).
tff(c_36153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36151,c_26959]) ).
tff(c_36154,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_33892]) ).
tff(c_36156,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_36154]) ).
tff(c_36158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36156,c_26959]) ).
tff(c_36570,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_36154]) ).
tff(c_36572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36570,c_26959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP335-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:32:04 EDT 2023
% 0.14/0.35 % CPUTime :
% 13.12/4.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/4.71
% 13.26/4.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.36/4.78
% 13.36/4.78 Inference rules
% 13.36/4.78 ----------------------
% 13.36/4.78 #Ref : 0
% 13.36/4.78 #Sup : 9042
% 13.36/4.78 #Fact : 0
% 13.36/4.78 #Define : 0
% 13.36/4.78 #Split : 30
% 13.36/4.78 #Chain : 0
% 13.36/4.78 #Close : 0
% 13.36/4.78
% 13.36/4.78 Ordering : KBO
% 13.36/4.78
% 13.36/4.78 Simplification rules
% 13.36/4.78 ----------------------
% 13.36/4.78 #Subsume : 5
% 13.36/4.78 #Demod : 21176
% 13.36/4.78 #Tautology : 7193
% 13.36/4.78 #SimpNegUnit : 79
% 13.36/4.78 #BackRed : 429
% 13.36/4.78
% 13.36/4.78 #Partial instantiations: 0
% 13.36/4.78 #Strategies tried : 1
% 13.36/4.78
% 13.36/4.78 Timing (in seconds)
% 13.36/4.78 ----------------------
% 13.36/4.78 Preprocessing : 0.52
% 13.36/4.78 Parsing : 0.21
% 13.36/4.78 CNF conversion : 0.02
% 13.36/4.78 Main loop : 3.11
% 13.36/4.78 Inferencing : 0.91
% 13.36/4.78 Reduction : 1.60
% 13.36/4.78 Demodulation : 1.42
% 13.36/4.78 BG Simplification : 0.09
% 13.36/4.78 Subsumption : 0.32
% 13.36/4.78 Abstraction : 0.19
% 13.36/4.78 MUC search : 0.00
% 13.36/4.78 Cooper : 0.00
% 13.36/4.78 Total : 3.74
% 13.36/4.78 Index Insertion : 0.00
% 13.36/4.78 Index Deletion : 0.00
% 13.36/4.78 Index Matching : 0.00
% 13.36/4.78 BG Taut test : 0.00
%------------------------------------------------------------------------------