TSTP Solution File: GRP247-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP247-1 : 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 : n017.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 10:40:38 EDT 2023
% Result : Unsatisfiable 27.19s 15.67s
% Output : CNFRefutation 27.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 49
% Syntax : Number of formulae : 820 ( 650 unt; 12 typ; 0 def)
% Number of atoms : 1186 (1135 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 848 ( 470 ~; 378 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 435 (; 435 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
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_158,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(X4,sk_c9) != sk_c8 )
| ( inverse(X4) != sk_c9 )
| ( multiply(X5,sk_c8) != sk_c7 )
| ( inverse(X5) != sk_c8 )
| ( inverse(X6) != sk_c9 )
| ( multiply(X6,sk_c7) != sk_c9 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( multiply(X3,sk_c8) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
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_62,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_97,plain,
inverse(sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_101,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_34643,plain,
! [X_347,Y_348,Z_349] : ( multiply(multiply(X_347,Y_348),Z_349) = multiply(X_347,multiply(Y_348,Z_349)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34682,plain,
! [X_2,Z_349] : ( multiply(inverse(X_2),multiply(X_2,Z_349)) = multiply(identity,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34643]) ).
tff(c_36948,plain,
! [X_394,Z_395] : ( multiply(inverse(X_394),multiply(X_394,Z_395)) = Z_395 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34682]) ).
tff(c_37005,plain,
multiply(inverse(sk_c9),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_101,c_36948]) ).
tff(c_70,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_31612,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_31675,plain,
! [X_290,Y_291,Z_292] : ( multiply(multiply(X_290,Y_291),Z_292) = multiply(X_290,multiply(Y_291,Z_292)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31720,plain,
! [Z_292] : ( multiply(sk_c9,multiply(sk_c3,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_31675]) ).
tff(c_31919,plain,
! [Z_299] : ( multiply(sk_c9,multiply(sk_c3,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31720]) ).
tff(c_31931,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31612,c_31919]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_143,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_28,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_125,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_129,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_27409,plain,
! [X_205,Y_206,Z_207] : ( multiply(multiply(X_205,Y_206),Z_207) = multiply(X_205,multiply(Y_206,Z_207)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27448,plain,
! [Z_207] : ( multiply(sk_c9,multiply(sk_c1,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_27409]) ).
tff(c_27473,plain,
! [Z_208] : ( multiply(sk_c9,multiply(sk_c1,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27448]) ).
tff(c_27485,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_143,c_27473]) ).
tff(c_27457,plain,
! [X_2,Z_207] : ( multiply(inverse(X_2),multiply(X_2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27409]) ).
tff(c_28029,plain,
! [X_224,Z_225] : ( multiply(inverse(X_224),multiply(X_224,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27457]) ).
tff(c_28104,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27485,c_28029]) ).
tff(c_28177,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28104]) ).
tff(c_27812,plain,
! [Z_221] : ( multiply(sk_c1,multiply(sk_c9,Z_221)) = multiply(sk_c8,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_143,c_27409]) ).
tff(c_27851,plain,
multiply(sk_c8,sk_c1) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_129,c_27812]) ).
tff(c_28393,plain,
multiply(sk_c1,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_28177,c_27851]) ).
tff(c_28411,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28393]) ).
tff(c_178,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_202,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_178]) ).
tff(c_224,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_202]) ).
tff(c_236,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_143,c_224]) ).
tff(c_211,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_178]) ).
tff(c_412,plain,
! [X_24,Z_25] : ( multiply(inverse(X_24),multiply(X_24,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211]) ).
tff(c_451,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_236,c_412]) ).
tff(c_497,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_451]) ).
tff(c_199,plain,
! [Z_16] : ( multiply(sk_c1,multiply(sk_c9,Z_16)) = multiply(sk_c8,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_143,c_178]) ).
tff(c_1311,plain,
! [Z_38] : ( multiply(sk_c1,multiply(sk_c9,Z_38)) = Z_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_497,c_199]) ).
tff(c_1335,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_1311]) ).
tff(c_1338,plain,
multiply(sk_c1,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_101,c_1311]) ).
tff(c_1539,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1335,c_1338]) ).
tff(c_40,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_151,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_50,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_109,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_113,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_205,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_178]) ).
tff(c_364,plain,
! [Z_23] : ( multiply(sk_c8,multiply(sk_c2,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_205]) ).
tff(c_382,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_151,c_364]) ).
tff(c_436,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_382,c_412]) ).
tff(c_495,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_436]) ).
tff(c_76,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_156,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_692,plain,
multiply(sk_c3,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_495,c_156]) ).
tff(c_1540,plain,
multiply(sk_c1,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_1539,c_692]) ).
tff(c_1545,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1335,c_1540]) ).
tff(c_1558,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1545,c_125]) ).
tff(c_1570,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1558,c_4]) ).
tff(c_222,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211]) ).
tff(c_1667,plain,
! [X_42,Z_43] : ( multiply(inverse(inverse(X_42)),Z_43) = multiply(X_42,Z_43) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_222]) ).
tff(c_487,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_412]) ).
tff(c_1674,plain,
! [X_42] : ( multiply(X_42,identity) = X_42 ),
inference(superposition,[status(thm),theory(equality)],[c_1667,c_487]) ).
tff(c_1001,plain,
! [X_31,Z_32] : ( multiply(inverse(inverse(X_31)),Z_32) = multiply(X_31,Z_32) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_222]) ).
tff(c_1008,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_1001,c_487]) ).
tff(c_510,plain,
multiply(sk_c3,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_495,c_156]) ).
tff(c_80,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( inverse(X4_11) != sk_c9 )
| ( multiply(X4_11,sk_c9) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_294,plain,
! [X4_20] :
( ( inverse(X4_20) != sk_c9 )
| ( multiply(X4_20,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_304,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_143,c_294]) ).
tff(c_316,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_304]) ).
tff(c_317,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_504,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_317]) ).
tff(c_617,plain,
! [X3_8] :
( ( multiply(X3_8,identity) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_497,c_504]) ).
tff(c_670,plain,
inverse(sk_c3) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_510,c_617]) ).
tff(c_685,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_670]) ).
tff(c_686,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_317]) ).
tff(c_711,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_497,c_495,c_497,c_495,c_497,c_497,c_495,c_497,c_686]) ).
tff(c_712,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_711]) ).
tff(c_1306,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1008,c_712]) ).
tff(c_705,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_109]) ).
tff(c_719,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_705,c_4]) ).
tff(c_754,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_719,c_222]) ).
tff(c_766,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_754]) ).
tff(c_770,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_766,c_705]) ).
tff(c_1308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1306,c_770]) ).
tff(c_1309,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_711]) ).
tff(c_26407,plain,
! [X6_7,X1_9,X2_10] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1674,c_1545,c_1545,c_1545,c_1674,c_1545,c_1309]) ).
tff(c_26409,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26407]) ).
tff(c_1351,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_705,c_4]) ).
tff(c_1386,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1351,c_222]) ).
tff(c_1398,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1386]) ).
tff(c_1403,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1398,c_705]) ).
tff(c_26411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26409,c_1403]) ).
tff(c_26412,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_26407]) ).
tff(c_26414,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_26412]) ).
tff(c_26416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26414,c_1558]) ).
tff(c_27267,plain,
! [X1_204] :
( ( inverse(X1_204) != sk_c1 )
| ( multiply(X1_204,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_26412]) ).
tff(c_27318,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1570,c_27267]) ).
tff(c_27344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1558,c_27318]) ).
tff(c_27346,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_78,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_27394,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27346,c_78]) ).
tff(c_27345,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_27350,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27345,c_4]) ).
tff(c_27439,plain,
! [Z_207] : ( multiply(sk_c9,multiply(sk_c6,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_27350,c_27409]) ).
tff(c_27789,plain,
! [Z_220] : ( multiply(sk_c9,multiply(sk_c6,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27439]) ).
tff(c_27801,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27394,c_27789]) ).
tff(c_27827,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_27801,c_27812]) ).
tff(c_28389,plain,
multiply(sk_c1,identity) = multiply(identity,sk_c9),
inference(demodulation,[status(thm),theory(equality)],[c_28177,c_28177,c_27827]) ).
tff(c_28407,plain,
multiply(sk_c1,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28389]) ).
tff(c_28742,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28411,c_28407]) ).
tff(c_27854,plain,
multiply(sk_c8,sk_c3) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_101,c_27812]) ).
tff(c_28392,plain,
multiply(sk_c1,identity) = multiply(identity,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_28177,c_27854]) ).
tff(c_28410,plain,
multiply(sk_c1,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28392]) ).
tff(c_28591,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28411,c_28410]) ).
tff(c_27451,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_27409]) ).
tff(c_27570,plain,
! [Z_213] : ( multiply(sk_c8,multiply(sk_c2,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27451]) ).
tff(c_27582,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_151,c_27570]) ).
tff(c_28095,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27582,c_28029]) ).
tff(c_28176,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28095]) ).
tff(c_28379,plain,
multiply(sk_c3,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_28176,c_27346]) ).
tff(c_28854,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28742,c_28411,c_28591,c_28379]) ).
tff(c_28856,plain,
multiply(sk_c2,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_28885,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28856,c_34]) ).
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_28889,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28885,c_4]) ).
tff(c_29573,plain,
! [X_249,Y_250,Z_251] : ( multiply(multiply(X_249,Y_250),Z_251) = multiply(X_249,multiply(Y_250,Z_251)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29764,plain,
! [Z_259] : ( multiply(sk_c1,multiply(sk_c9,Z_259)) = multiply(sk_c8,Z_259) ),
inference(superposition,[status(thm),theory(equality)],[c_143,c_29573]) ).
tff(c_29788,plain,
multiply(sk_c8,sk_c4) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_28889,c_29764]) ).
tff(c_28899,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_28924,plain,
! [X_233,Y_234,Z_235] : ( multiply(multiply(X_233,Y_234),Z_235) = multiply(X_233,multiply(Y_234,Z_235)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28969,plain,
! [Z_235] : ( multiply(sk_c9,multiply(sk_c3,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_28924]) ).
tff(c_29098,plain,
! [Z_241] : ( multiply(sk_c9,multiply(sk_c3,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28969]) ).
tff(c_29110,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28899,c_29098]) ).
tff(c_42,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_28907,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28856,c_42]) ).
tff(c_28855,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_28860,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28855,c_4]) ).
tff(c_28957,plain,
! [Z_235] : ( multiply(sk_c9,multiply(sk_c6,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_28860,c_28924]) ).
tff(c_29167,plain,
! [Z_245] : ( multiply(sk_c9,multiply(sk_c6,Z_245)) = Z_245 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28957]) ).
tff(c_29179,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_28907,c_29167]) ).
tff(c_29183,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29110,c_29179]) ).
tff(c_28963,plain,
! [Z_235] : ( multiply(sk_c9,multiply(sk_c1,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_28924]) ).
tff(c_28988,plain,
! [Z_236] : ( multiply(sk_c9,multiply(sk_c1,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28963]) ).
tff(c_29000,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_143,c_28988]) ).
tff(c_29185,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_29183,c_29000]) ).
tff(c_28972,plain,
! [X_2,Z_235] : ( multiply(inverse(X_2),multiply(X_2,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28924]) ).
tff(c_29285,plain,
! [X_246,Z_247] : ( multiply(inverse(X_246),multiply(X_246,Z_247)) = Z_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28972]) ).
tff(c_29318,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29185,c_29285]) ).
tff(c_29389,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29318]) ).
tff(c_29193,plain,
multiply(sk_c7,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29183,c_113]) ).
tff(c_29402,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29389,c_29193]) ).
tff(c_28986,plain,
! [X_2,Z_235] : ( multiply(inverse(X_2),multiply(X_2,Z_235)) = Z_235 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28972]) ).
tff(c_29476,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29402,c_28986]) ).
tff(c_29488,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29476]) ).
tff(c_29191,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29183,c_28856]) ).
tff(c_29446,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29389,c_29389,c_29191]) ).
tff(c_29542,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29488,c_29446]) ).
tff(c_29547,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29542]) ).
tff(c_29549,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_68,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_29560,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29549,c_68]) ).
tff(c_30044,plain,
! [Z_266] : ( multiply(sk_c4,multiply(sk_c9,Z_266)) = multiply(sk_c8,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_29560,c_29573]) ).
tff(c_30077,plain,
multiply(sk_c8,sk_c4) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_28889,c_30044]) ).
tff(c_30091,plain,
multiply(sk_c4,identity) = multiply(sk_c1,identity),
inference(demodulation,[status(thm),theory(equality)],[c_29788,c_30077]) ).
tff(c_30115,plain,
! [Z_5] : ( multiply(multiply(sk_c1,identity),Z_5) = multiply(sk_c4,multiply(identity,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_30091,c_6]) ).
tff(c_30119,plain,
! [Z_5] : ( multiply(sk_c4,Z_5) = multiply(sk_c1,Z_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6,c_30115]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_28870,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_28856,c_38]) ).
tff(c_28874,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28870,c_4]) ).
tff(c_29548,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_30371,plain,
! [Z_271] : ( multiply(sk_c6,multiply(sk_c8,Z_271)) = multiply(sk_c9,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_29548,c_29573]) ).
tff(c_30413,plain,
multiply(sk_c9,sk_c5) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_28874,c_30371]) ).
tff(c_29588,plain,
! [Z_251] : ( multiply(sk_c4,multiply(sk_c9,Z_251)) = multiply(sk_c8,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_29560,c_29573]) ).
tff(c_30445,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = multiply(sk_c8,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_30413,c_29588]) ).
tff(c_30454,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28874,c_30445]) ).
tff(c_29606,plain,
! [Z_251] : ( multiply(sk_c1,multiply(sk_c9,Z_251)) = multiply(sk_c8,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_143,c_29573]) ).
tff(c_30448,plain,
multiply(sk_c1,multiply(sk_c6,identity)) = multiply(sk_c8,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_30413,c_29606]) ).
tff(c_30455,plain,
multiply(sk_c1,multiply(sk_c6,identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28874,c_30448]) ).
tff(c_29609,plain,
! [Z_251] : ( multiply(sk_c9,multiply(sk_c1,Z_251)) = multiply(identity,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_29573]) ).
tff(c_29629,plain,
! [Z_251] : ( multiply(sk_c9,multiply(sk_c1,Z_251)) = Z_251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29609]) ).
tff(c_30491,plain,
multiply(sk_c9,identity) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_30455,c_29629]) ).
tff(c_30863,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = multiply(sk_c8,identity),
inference(superposition,[status(thm),theory(equality)],[c_30491,c_29588]) ).
tff(c_30872,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30454,c_30863]) ).
tff(c_30917,plain,
! [Z_5] : ( multiply(sk_c8,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_30872,c_6]) ).
tff(c_30922,plain,
! [Z_5] : ( multiply(sk_c8,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_30917]) ).
tff(c_29794,plain,
multiply(sk_c8,sk_c1) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_129,c_29764]) ).
tff(c_30936,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30922,c_29794]) ).
tff(c_72,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_29554,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29549,c_72]) ).
tff(c_29600,plain,
! [Z_251] : ( multiply(sk_c8,multiply(sk_c5,Z_251)) = multiply(identity,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_28874,c_29573]) ).
tff(c_30028,plain,
! [Z_265] : ( multiply(sk_c8,multiply(sk_c5,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29600]) ).
tff(c_30040,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29554,c_30028]) ).
tff(c_30392,plain,
multiply(sk_c9,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_30040,c_30371]) ).
tff(c_30422,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_29548,c_30392]) ).
tff(c_29618,plain,
! [X_2,Z_251] : ( multiply(inverse(X_2),multiply(X_2,Z_251)) = multiply(identity,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29573]) ).
tff(c_31102,plain,
! [X_282,Z_283] : ( multiply(inverse(X_282),multiply(X_282,Z_283)) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29618]) ).
tff(c_31138,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30422,c_31102]) ).
tff(c_31191,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31138]) ).
tff(c_29707,plain,
! [X4_256] :
( ( inverse(X4_256) != sk_c9 )
| ( multiply(X4_256,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_29714,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_29560,c_29707]) ).
tff(c_29729,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28885,c_29714]) ).
tff(c_29730,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_29978,plain,
! [X3_264] :
( ( multiply(X3_264,sk_c8) != sk_c9 )
| ( inverse(X3_264) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_29730]) ).
tff(c_29994,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_29548,c_29978]) ).
tff(c_30008,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28855,c_29994]) ).
tff(c_30009,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_29730]) ).
tff(c_30294,plain,
! [X5_269] :
( ( inverse(X5_269) != sk_c8 )
| ( multiply(X5_269,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_30009]) ).
tff(c_30311,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29554,c_30294]) ).
tff(c_30327,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28870,c_30311]) ).
tff(c_30328,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_30009]) ).
tff(c_30595,plain,
! [X2_273] :
( ( inverse(X2_273) != sk_c8 )
| ( multiply(X2_273,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_30328]) ).
tff(c_30615,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29554,c_30595]) ).
tff(c_30632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28870,c_30615]) ).
tff(c_30633,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_30328]) ).
tff(c_30876,plain,
! [X6_278] :
( ( multiply(X6_278,sk_c7) != sk_c9 )
| ( inverse(X6_278) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_30633]) ).
tff(c_30886,plain,
( ( multiply(sk_c1,sk_c7) != sk_c9 )
| ( inverse(sk_c4) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_30119,c_30876]) ).
tff(c_30904,plain,
multiply(sk_c1,sk_c7) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_28885,c_30886]) ).
tff(c_31203,plain,
multiply(sk_c1,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31191,c_30904]) ).
tff(c_31408,plain,
sk_c9 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30936,c_31203]) ).
tff(c_29791,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_28860,c_29764]) ).
tff(c_30931,plain,
multiply(sk_c1,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30922,c_29791]) ).
tff(c_31458,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30936,c_30931]) ).
tff(c_31205,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31191,c_30422]) ).
tff(c_31229,plain,
multiply(sk_c6,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31205,c_30491]) ).
tff(c_31459,plain,
multiply(sk_c1,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31458,c_31229]) ).
tff(c_31465,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30936,c_31459]) ).
tff(c_31467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31408,c_31465]) ).
tff(c_31566,plain,
! [X1_289] :
( ( inverse(X1_289) != sk_c9 )
| ( multiply(X1_289,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_30633]) ).
tff(c_31573,plain,
( ( inverse(sk_c4) != sk_c9 )
| ( multiply(sk_c1,sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_30119,c_31566]) ).
tff(c_31597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143,c_28885,c_31573]) ).
tff(c_31599,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_31670,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31599,c_18]) ).
tff(c_16,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_31639,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31599,c_16]) ).
tff(c_31643,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31639,c_4]) ).
tff(c_31699,plain,
! [Z_292] : ( multiply(sk_c9,multiply(sk_c6,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_31643,c_31675]) ).
tff(c_32132,plain,
! [Z_308] : ( multiply(sk_c9,multiply(sk_c6,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31699]) ).
tff(c_32144,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_31670,c_32132]) ).
tff(c_32148,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31931,c_32144]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_31656,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_31599,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_31619,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31599,c_10]) ).
tff(c_31623,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31619,c_4]) ).
tff(c_31705,plain,
! [Z_292] : ( multiply(sk_c9,multiply(sk_c4,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_31623,c_31675]) ).
tff(c_32093,plain,
! [Z_306] : ( multiply(sk_c9,multiply(sk_c4,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31705]) ).
tff(c_32105,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31656,c_32093]) ).
tff(c_32149,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32148,c_32105]) ).
tff(c_31723,plain,
! [X_2,Z_292] : ( multiply(inverse(X_2),multiply(X_2,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31675]) ).
tff(c_32251,plain,
! [X_309,Z_310] : ( multiply(inverse(X_309),multiply(X_309,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31723]) ).
tff(c_32272,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32149,c_32251]) ).
tff(c_32352,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32272]) ).
tff(c_32155,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32148,c_31656]) ).
tff(c_31732,plain,
! [Z_292] : ( multiply(sk_c9,multiply(sk_c4,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31705]) ).
tff(c_32215,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32155,c_31732]) ).
tff(c_32490,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32352,c_32215]) ).
tff(c_32372,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32352,c_32148]) ).
tff(c_31690,plain,
! [Z_292] : ( multiply(sk_c6,multiply(sk_c8,Z_292)) = multiply(sk_c9,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_31670,c_31675]) ).
tff(c_32551,plain,
! [Z_312] : ( multiply(sk_c9,Z_312) = multiply(sk_c6,Z_312) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32372,c_31690]) ).
tff(c_32617,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31623,c_32551]) ).
tff(c_31737,plain,
! [X_2,Z_292] : ( multiply(inverse(X_2),multiply(X_2,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31723]) ).
tff(c_32635,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32617,c_31737]) ).
tff(c_32644,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32490,c_31639,c_32635]) ).
tff(c_32659,plain,
inverse(sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32644,c_31639]) ).
tff(c_32620,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129,c_32551]) ).
tff(c_32739,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_32620,c_31737]) ).
tff(c_32745,plain,
multiply(sk_c4,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_32659,c_32739]) ).
tff(c_31731,plain,
! [Z_292] : ( multiply(sk_c9,multiply(sk_c6,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31699]) ).
tff(c_32638,plain,
multiply(sk_c9,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32617,c_31731]) ).
tff(c_32854,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_32745,c_32644,c_32638]) ).
tff(c_32663,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32644,c_125]) ).
tff(c_32696,plain,
multiply(sk_c4,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32663,c_4]) ).
tff(c_32882,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32854,c_32696]) ).
tff(c_32158,plain,
multiply(sk_c1,sk_c9) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32148,c_31599]) ).
tff(c_32367,plain,
multiply(sk_c1,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32352,c_32158]) ).
tff(c_32647,plain,
multiply(sk_c1,sk_c4) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32644,c_32367]) ).
tff(c_32954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32882,c_32854,c_32647]) ).
tff(c_32955,plain,
inverse(sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_32956,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_32993,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32956,c_78]) ).
tff(c_33017,plain,
! [X_314,Y_315,Z_316] : ( multiply(multiply(X_314,Y_315),Z_316) = multiply(X_314,multiply(Y_315,Z_316)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33787,plain,
! [Z_335] : ( multiply(sk_c6,multiply(sk_c8,Z_335)) = multiply(sk_c9,Z_335) ),
inference(superposition,[status(thm),theory(equality)],[c_32993,c_33017]) ).
tff(c_33832,plain,
multiply(sk_c9,sk_c2) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_113,c_33787]) ).
tff(c_33003,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_31599,c_8]) ).
tff(c_33032,plain,
! [Z_316] : ( multiply(sk_c4,multiply(sk_c9,Z_316)) = multiply(sk_c8,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_33003,c_33017]) ).
tff(c_33869,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = multiply(sk_c8,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_33832,c_33032]) ).
tff(c_33875,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_113,c_33869]) ).
tff(c_34089,plain,
! [Z_5] : ( multiply(sk_c4,multiply(multiply(sk_c6,identity),Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_33875,c_6]) ).
tff(c_34092,plain,
! [Z_5] : ( multiply(sk_c4,multiply(sk_c6,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6,c_34089]) ).
tff(c_32960,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32955,c_4]) ).
tff(c_33044,plain,
! [Z_316] : ( multiply(sk_c9,multiply(sk_c4,Z_316)) = multiply(identity,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_32960,c_33017]) ).
tff(c_33068,plain,
! [Z_316] : ( multiply(sk_c9,multiply(sk_c4,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33044]) ).
tff(c_34086,plain,
multiply(sk_c9,identity) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_33875,c_33068]) ).
tff(c_34165,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = multiply(sk_c8,identity),
inference(superposition,[status(thm),theory(equality)],[c_34086,c_33032]) ).
tff(c_34171,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34092,c_34165]) ).
tff(c_34183,plain,
! [Z_5] : ( multiply(sk_c8,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_34171,c_6]) ).
tff(c_34187,plain,
! [Z_5] : ( multiply(sk_c8,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_34183]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_32998,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_31599,c_12]) ).
tff(c_31598,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_31603,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31598,c_4]) ).
tff(c_33047,plain,
! [Z_316] : ( multiply(sk_c8,multiply(sk_c5,Z_316)) = multiply(identity,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_31603,c_33017]) ).
tff(c_33456,plain,
! [Z_331] : ( multiply(sk_c8,multiply(sk_c5,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33047]) ).
tff(c_33474,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32998,c_33456]) ).
tff(c_34199,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34187,c_33474]) ).
tff(c_34387,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34199,c_33003]) ).
tff(c_32969,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32956,c_76]) ).
tff(c_34247,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34199,c_32993]) ).
tff(c_33138,plain,
! [X4_321] :
( ( inverse(X4_321) != sk_c9 )
| ( multiply(X4_321,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_33148,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33003,c_33138]) ).
tff(c_33161,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32955,c_33148]) ).
tff(c_33162,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_33414,plain,
! [X3_330] :
( ( multiply(X3_330,sk_c8) != sk_c9 )
| ( inverse(X3_330) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_33162]) ).
tff(c_33433,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32993,c_33414]) ).
tff(c_33447,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32969,c_33433]) ).
tff(c_33448,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_33162]) ).
tff(c_33720,plain,
! [X5_334] :
( ( inverse(X5_334) != sk_c8 )
| ( multiply(X5_334,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_33448]) ).
tff(c_33736,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32998,c_33720]) ).
tff(c_33752,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31598,c_33736]) ).
tff(c_33753,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_33448]) ).
tff(c_34047,plain,
! [X2_339] :
( ( inverse(X2_339) != sk_c8 )
| ( multiply(X2_339,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_33753]) ).
tff(c_34064,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32998,c_34047]) ).
tff(c_34080,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31598,c_34064]) ).
tff(c_34081,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_33753]) ).
tff(c_34354,plain,
! [X6_344] :
( ( multiply(X6_344,sk_c7) != sk_c9 )
| ( inverse(X6_344) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_34081]) ).
tff(c_34357,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34247,c_34354]) ).
tff(c_34379,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32969,c_34357]) ).
tff(c_34380,plain,
! [X1_9] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_34081]) ).
tff(c_34496,plain,
! [X1_9] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34199,c_34380]) ).
tff(c_34554,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34387,c_34496]) ).
tff(c_34566,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32955,c_34554]) ).
tff(c_34567,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_34568,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_34606,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34568,c_24]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_34592,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34568,c_26]) ).
tff(c_34596,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34592,c_4]) ).
tff(c_34667,plain,
! [Z_349] : ( multiply(sk_c8,multiply(sk_c5,Z_349)) = multiply(identity,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_34596,c_34643]) ).
tff(c_34810,plain,
! [Z_357] : ( multiply(sk_c8,multiply(sk_c5,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34667]) ).
tff(c_34822,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34606,c_34810]) ).
tff(c_35356,plain,
! [Z_367] : ( multiply(sk_c5,multiply(sk_c8,Z_367)) = multiply(sk_c7,Z_367) ),
inference(superposition,[status(thm),theory(equality)],[c_34606,c_34643]) ).
tff(c_35383,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_34822,c_35356]) ).
tff(c_35400,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34606,c_35383]) ).
tff(c_36969,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35400,c_36948]) ).
tff(c_37018,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36969]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_34621,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34568,c_30]) ).
tff(c_35114,plain,
! [Z_364] : ( multiply(sk_c6,multiply(sk_c8,Z_364)) = multiply(sk_c9,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_34621,c_34643]) ).
tff(c_35141,plain,
multiply(sk_c9,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_34822,c_35114]) ).
tff(c_35161,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34621,c_35141]) ).
tff(c_37027,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_37018,c_35161]) ).
tff(c_35153,plain,
multiply(sk_c9,sk_c2) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_113,c_35114]) ).
tff(c_20,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_34613,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34568,c_20]) ).
tff(c_34661,plain,
! [Z_349] : ( multiply(sk_c4,multiply(sk_c9,Z_349)) = multiply(sk_c8,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_34613,c_34643]) ).
tff(c_35198,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = multiply(sk_c8,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_35153,c_34661]) ).
tff(c_35204,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_113,c_35198]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_34580,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34568,c_22]) ).
tff(c_34584,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34580,c_4]) ).
tff(c_34670,plain,
! [Z_349] : ( multiply(sk_c9,multiply(sk_c4,Z_349)) = multiply(identity,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_34584,c_34643]) ).
tff(c_34691,plain,
! [Z_349] : ( multiply(sk_c9,multiply(sk_c4,Z_349)) = Z_349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34670]) ).
tff(c_35347,plain,
multiply(sk_c9,identity) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_35204,c_34691]) ).
tff(c_37091,plain,
multiply(sk_c6,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_37027,c_35347]) ).
tff(c_34695,plain,
! [X_2,Z_349] : ( multiply(inverse(X_2),multiply(X_2,Z_349)) = Z_349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34682]) ).
tff(c_37108,plain,
multiply(inverse(sk_c6),sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37091,c_34695]) ).
tff(c_37117,plain,
multiply(sk_c9,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34567,c_37108]) ).
tff(c_37151,plain,
multiply(inverse(sk_c9),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37117,c_34695]) ).
tff(c_37157,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37005,c_37151]) ).
tff(c_37221,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37157,c_97]) ).
tff(c_37160,plain,
! [X_397] : ( multiply(inverse(inverse(X_397)),identity) = X_397 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36948]) ).
tff(c_37178,plain,
multiply(inverse(sk_c9),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_34580,c_37160]) ).
tff(c_37189,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37005,c_37178]) ).
tff(c_37104,plain,
multiply(sk_c4,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37091,c_35204]) ).
tff(c_37192,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37189,c_37104]) ).
tff(c_37254,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37157,c_37192]) ).
tff(c_35807,plain,
! [X_373,Z_374] : ( multiply(inverse(X_373),multiply(X_373,Z_374)) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34682]) ).
tff(c_35858,plain,
multiply(inverse(sk_c9),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_101,c_35807]) ).
tff(c_35837,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35400,c_35807]) ).
tff(c_35873,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35837]) ).
tff(c_35882,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35873,c_35161]) ).
tff(c_35907,plain,
multiply(sk_c6,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35882,c_35347]) ).
tff(c_35923,plain,
multiply(inverse(sk_c6),sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35907,c_34695]) ).
tff(c_35932,plain,
multiply(sk_c9,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34567,c_35923]) ).
tff(c_35984,plain,
multiply(inverse(sk_c9),identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_35932,c_34695]) ).
tff(c_35990,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35858,c_35984]) ).
tff(c_36084,plain,
! [X_376,Z_377] : ( multiply(inverse(inverse(X_376)),Z_377) = multiply(X_376,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_35807,c_34695]) ).
tff(c_35864,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35807]) ).
tff(c_36091,plain,
! [X_376] : ( multiply(X_376,identity) = X_376 ),
inference(superposition,[status(thm),theory(equality)],[c_36084,c_35864]) ).
tff(c_35603,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = multiply(sk_c8,identity),
inference(superposition,[status(thm),theory(equality)],[c_35347,c_34661]) ).
tff(c_35609,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35204,c_35603]) ).
tff(c_35621,plain,
! [Z_5] : ( multiply(sk_c8,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_35609,c_6]) ).
tff(c_35625,plain,
! [Z_5] : ( multiply(sk_c8,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_35621]) ).
tff(c_35634,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35625,c_34822]) ).
tff(c_35436,plain,
multiply(sk_c4,multiply(sk_c6,identity)) = multiply(sk_c8,identity),
inference(superposition,[status(thm),theory(equality)],[c_35347,c_34661]) ).
tff(c_35442,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35204,c_35436]) ).
tff(c_35454,plain,
! [Z_5] : ( multiply(sk_c8,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_35442,c_6]) ).
tff(c_35469,plain,
! [Z_368] : ( multiply(sk_c8,Z_368) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_35454]) ).
tff(c_35499,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_34596,c_35469]) ).
tff(c_35458,plain,
! [Z_5] : ( multiply(sk_c8,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_35454]) ).
tff(c_35467,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35458,c_34822]) ).
tff(c_35539,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35467,c_34592]) ).
tff(c_35588,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35499,c_35539]) ).
tff(c_34763,plain,
! [X4_354] :
( ( inverse(X4_354) != sk_c9 )
| ( multiply(X4_354,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_34770,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34613,c_34763]) ).
tff(c_34782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34580,c_34770]) ).
tff(c_34783,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_35046,plain,
! [X3_362] :
( ( multiply(X3_362,sk_c8) != sk_c9 )
| ( inverse(X3_362) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_34783]) ).
tff(c_35059,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34621,c_35046]) ).
tff(c_35075,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34567,c_35059]) ).
tff(c_35076,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_34783]) ).
tff(c_35308,plain,
! [X5_366] :
( ( inverse(X5_366) != sk_c8 )
| ( multiply(X5_366,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_35076]) ).
tff(c_35327,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34606,c_35308]) ).
tff(c_35341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34592,c_35327]) ).
tff(c_35342,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_35076]) ).
tff(c_35432,plain,
! [X2_10] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_35342]) ).
tff(c_35564,plain,
! [X2_370] :
( ( inverse(X2_370) != sk_c7 )
| ( multiply(X2_370,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35467,c_35467,c_35432]) ).
tff(c_35585,plain,
inverse(identity) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2,c_35564]) ).
tff(c_35598,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35588,c_35585]) ).
tff(c_35599,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_35342]) ).
tff(c_35702,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35634,c_35599]) ).
tff(c_35703,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_35702]) ).
tff(c_36937,plain,
inverse(sk_c3) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35990,c_36091,c_35990,c_35873,c_35703]) ).
tff(c_36004,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35990,c_97]) ).
tff(c_36939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36937,c_36004]) ).
tff(c_36940,plain,
! [X1_9] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_35702]) ).
tff(c_37782,plain,
! [X1_409] :
( ( inverse(X1_409) != sk_c3 )
| ( multiply(X1_409,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37157,c_37018,c_37157,c_36940]) ).
tff(c_37785,plain,
inverse(sk_c3) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_37254,c_37782]) ).
tff(c_37801,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37221,c_37785]) ).
tff(c_37803,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_44,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_37870,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37803,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_37829,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37803,c_46]) ).
tff(c_37833,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37829,c_4]) ).
tff(c_37894,plain,
! [X_410,Y_411,Z_412] : ( multiply(multiply(X_410,Y_411),Z_412) = multiply(X_410,multiply(Y_411,Z_412)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37921,plain,
! [Z_412] : ( multiply(sk_c9,multiply(sk_c4,Z_412)) = multiply(identity,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_37833,c_37894]) ).
tff(c_38078,plain,
! [Z_420] : ( multiply(sk_c9,multiply(sk_c4,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37921]) ).
tff(c_38090,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37870,c_38078]) ).
tff(c_37933,plain,
! [X_2,Z_412] : ( multiply(inverse(X_2),multiply(X_2,Z_412)) = multiply(identity,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37894]) ).
tff(c_38178,plain,
! [X_423,Z_424] : ( multiply(inverse(X_423),multiply(X_423,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37933]) ).
tff(c_38205,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38090,c_38178]) ).
tff(c_38280,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38205]) ).
tff(c_37912,plain,
! [Z_412] : ( multiply(sk_c4,multiply(sk_c9,Z_412)) = multiply(sk_c8,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_37870,c_37894]) ).
tff(c_39285,plain,
! [Z_439] : ( multiply(sk_c4,multiply(sk_c9,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38280,c_37912]) ).
tff(c_39324,plain,
multiply(sk_c4,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_101,c_39285]) ).
tff(c_54,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_37880,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37803,c_54]) ).
tff(c_52,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_37816,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37803,c_52]) ).
tff(c_37820,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37816,c_4]) ).
tff(c_37924,plain,
! [Z_412] : ( multiply(sk_c9,multiply(sk_c6,Z_412)) = multiply(identity,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_37820,c_37894]) ).
tff(c_38055,plain,
! [Z_419] : ( multiply(sk_c9,multiply(sk_c6,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37924]) ).
tff(c_38067,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37880,c_38055]) ).
tff(c_38292,plain,
multiply(sk_c9,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38280,c_38067]) ).
tff(c_39284,plain,
! [Z_412] : ( multiply(sk_c4,multiply(sk_c9,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38280,c_37912]) ).
tff(c_39384,plain,
multiply(sk_c4,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38292,c_39284]) ).
tff(c_39423,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_39324,c_39384]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_37847,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37803,c_48]) ).
tff(c_37802,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_37807,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37802,c_4]) ).
tff(c_37927,plain,
! [Z_412] : ( multiply(sk_c8,multiply(sk_c5,Z_412)) = multiply(identity,Z_412) ),
inference(superposition,[status(thm),theory(equality)],[c_37807,c_37894]) ).
tff(c_37961,plain,
! [Z_414] : ( multiply(sk_c8,multiply(sk_c5,Z_414)) = Z_414 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37927]) ).
tff(c_37973,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37847,c_37961]) ).
tff(c_38220,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37973,c_38178]) ).
tff(c_38281,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38220]) ).
tff(c_38137,plain,
! [Z_422] : ( multiply(sk_c6,multiply(sk_c8,Z_422)) = multiply(sk_c9,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_37880,c_37894]) ).
tff(c_38152,plain,
multiply(sk_c9,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_37973,c_38137]) ).
tff(c_38162,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_37880,c_38152]) ).
tff(c_38306,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_38281,c_38162]) ).
tff(c_39428,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_39423,c_39423,c_38306]) ).
tff(c_39318,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_37833,c_39285]) ).
tff(c_39549,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_39324,c_39318]) ).
tff(c_37852,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_37856,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37852,c_4]) ).
tff(c_39315,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_37856,c_39285]) ).
tff(c_39588,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39428,c_39549,c_39315]) ).
tff(c_39435,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_39423,c_37852]) ).
tff(c_39593,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39588,c_39435]) ).
tff(c_39441,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_39423,c_97]) ).
tff(c_39483,plain,
multiply(sk_c3,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39441,c_4]) ).
tff(c_39604,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39588,c_39588,c_39483]) ).
tff(c_37946,plain,
! [X_2,Z_412] : ( multiply(inverse(X_2),multiply(X_2,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37933]) ).
tff(c_39692,plain,
! [X_441,Z_442] : ( multiply(inverse(inverse(X_441)),Z_442) = multiply(X_441,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_38178,c_37946]) ).
tff(c_38271,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38178]) ).
tff(c_39699,plain,
! [X_441] : ( multiply(X_441,identity) = X_441 ),
inference(superposition,[status(thm),theory(equality)],[c_39692,c_38271]) ).
tff(c_39595,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_39588,c_39423]) ).
tff(c_38720,plain,
! [X_427,Z_428] : ( multiply(inverse(inverse(X_427)),Z_428) = multiply(X_427,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_37946,c_38178]) ).
tff(c_38727,plain,
! [X_427] : ( multiply(X_427,identity) = X_427 ),
inference(superposition,[status(thm),theory(equality)],[c_38720,c_38271]) ).
tff(c_38014,plain,
! [X4_417] :
( ( inverse(X4_417) != sk_c9 )
| ( multiply(X4_417,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_38021,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37870,c_38014]) ).
tff(c_38033,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37829,c_38021]) ).
tff(c_38034,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_38102,plain,
! [X3_421] :
( ( multiply(X3_421,sk_c8) != sk_c9 )
| ( inverse(X3_421) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_38034]) ).
tff(c_38112,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37880,c_38102]) ).
tff(c_38128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37816,c_38112]) ).
tff(c_38129,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_38034]) ).
tff(c_38311,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38281,c_38280,c_38280,c_38281,c_38280,c_38281,c_38280,c_38280,c_38129]) ).
tff(c_38312,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_38311]) ).
tff(c_39208,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38727,c_38312]) ).
tff(c_38300,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38280,c_37802]) ).
tff(c_38320,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38300,c_4]) ).
tff(c_38327,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_38320,c_37946]) ).
tff(c_38339,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38327]) ).
tff(c_38343,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38339,c_38300]) ).
tff(c_39210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39208,c_38343]) ).
tff(c_39211,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_38311]) ).
tff(c_99184,plain,
! [X6_7,X1_9,X2_10] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39699,c_39595,c_39595,c_39595,c_39699,c_39595,c_39211]) ).
tff(c_99186,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_99184]) ).
tff(c_39236,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38300,c_4]) ).
tff(c_39244,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_39236,c_37946]) ).
tff(c_39256,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39244]) ).
tff(c_39260,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39256,c_38300]) ).
tff(c_99188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99186,c_39260]) ).
tff(c_99189,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_99184]) ).
tff(c_99191,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_99189]) ).
tff(c_99193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99191,c_39593]) ).
tff(c_99196,plain,
! [X1_715] :
( ( inverse(X1_715) != sk_c1 )
| ( multiply(X1_715,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_99189]) ).
tff(c_99258,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_39604,c_99196]) ).
tff(c_99286,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39593,c_99258]) ).
tff(c_99288,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_99293,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_99288,c_20]) ).
tff(c_99322,plain,
! [X_716,Y_717,Z_718] : ( multiply(multiply(X_716,Y_717),Z_718) = multiply(X_716,multiply(Y_717,Z_718)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_99346,plain,
! [Z_718] : ( multiply(sk_c9,multiply(sk_c4,Z_718)) = multiply(identity,Z_718) ),
inference(superposition,[status(thm),theory(equality)],[c_37833,c_99322]) ).
tff(c_99372,plain,
! [Z_719] : ( multiply(sk_c9,multiply(sk_c4,Z_719)) = Z_719 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99346]) ).
tff(c_99384,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_99293,c_99372]) ).
tff(c_99358,plain,
! [X_2,Z_718] : ( multiply(inverse(X_2),multiply(X_2,Z_718)) = multiply(identity,Z_718) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99322]) ).
tff(c_99896,plain,
! [X_735,Z_736] : ( multiply(inverse(X_735),multiply(X_735,Z_736)) = Z_736 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99358]) ).
tff(c_99947,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99384,c_99896]) ).
tff(c_99999,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99947]) ).
tff(c_99784,plain,
! [Z_733] : ( multiply(sk_c4,multiply(sk_c9,Z_733)) = multiply(sk_c8,Z_733) ),
inference(superposition,[status(thm),theory(equality)],[c_99293,c_99322]) ).
tff(c_99820,plain,
multiply(sk_c8,sk_c3) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_101,c_99784]) ).
tff(c_100052,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_99999,c_99820]) ).
tff(c_100066,plain,
multiply(sk_c4,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100052]) ).
tff(c_99817,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_37820,c_99784]) ).
tff(c_100050,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_99999,c_99817]) ).
tff(c_100064,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100050]) ).
tff(c_99287,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_99349,plain,
! [Z_718] : ( multiply(sk_c9,multiply(sk_c6,Z_718)) = multiply(identity,Z_718) ),
inference(superposition,[status(thm),theory(equality)],[c_37820,c_99322]) ).
tff(c_99596,plain,
! [Z_728] : ( multiply(sk_c9,multiply(sk_c6,Z_728)) = Z_728 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99349]) ).
tff(c_99608,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_99287,c_99596]) ).
tff(c_99799,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c4,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_99608,c_99784]) ).
tff(c_100049,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c9),
inference(demodulation,[status(thm),theory(equality)],[c_99999,c_99999,c_99799]) ).
tff(c_100063,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100049]) ).
tff(c_101016,plain,
sk_c9 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_100064,c_100063]) ).
tff(c_100059,plain,
multiply(sk_c6,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_99999,c_99287]) ).
tff(c_101092,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_101016,c_100059]) ).
tff(c_101042,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_101016,c_37816]) ).
tff(c_101039,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_101016,c_37833]) ).
tff(c_99370,plain,
! [X_2,Z_718] : ( multiply(inverse(X_2),multiply(X_2,Z_718)) = Z_718 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99358]) ).
tff(c_101120,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_101039,c_99370]) ).
tff(c_101126,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_101092,c_101042,c_101120]) ).
tff(c_101137,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_101126,c_101016]) ).
tff(c_100057,plain,
multiply(sk_c9,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_99999,c_99384]) ).
tff(c_101220,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_100066,c_101137,c_101137,c_100057]) ).
tff(c_101044,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_101016,c_97]) ).
tff(c_101136,plain,
inverse(sk_c3) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_101126,c_101044]) ).
tff(c_101226,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_101220,c_101136]) ).
tff(c_101228,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_101220,c_101126]) ).
tff(c_101040,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_101016,c_37829]) ).
tff(c_101076,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_101040,c_4]) ).
tff(c_101241,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_101228,c_101220,c_101076]) ).
tff(c_101227,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_101220,c_101137]) ).
tff(c_100173,plain,
sk_c9 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_100064,c_100063]) ).
tff(c_100237,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_100173,c_100173,c_100057]) ).
tff(c_100199,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_100173,c_37816]) ).
tff(c_100200,plain,
multiply(sk_c6,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_100173,c_101]) ).
tff(c_100253,plain,
multiply(inverse(sk_c6),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_100200,c_99370]) ).
tff(c_100259,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_100237,c_100199,c_100253]) ).
tff(c_100268,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_100259,c_100173]) ).
tff(c_100437,plain,
! [X_741,Z_742] : ( multiply(inverse(inverse(X_741)),Z_742) = multiply(X_741,Z_742) ),
inference(superposition,[status(thm),theory(equality)],[c_99370,c_99896]) ).
tff(c_99989,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99896]) ).
tff(c_100444,plain,
! [X_741] : ( multiply(X_741,identity) = X_741 ),
inference(superposition,[status(thm),theory(equality)],[c_100437,c_99989]) ).
tff(c_99352,plain,
! [Z_718] : ( multiply(sk_c8,multiply(sk_c5,Z_718)) = multiply(identity,Z_718) ),
inference(superposition,[status(thm),theory(equality)],[c_37807,c_99322]) ).
tff(c_99761,plain,
! [Z_732] : ( multiply(sk_c8,multiply(sk_c5,Z_732)) = Z_732 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_99352]) ).
tff(c_99773,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37847,c_99761]) ).
tff(c_99932,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99773,c_99896]) ).
tff(c_99998,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99932]) ).
tff(c_99455,plain,
! [X4_723] :
( ( inverse(X4_723) != sk_c9 )
| ( multiply(X4_723,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_99465,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_99293,c_99455]) ).
tff(c_99478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37829,c_99465]) ).
tff(c_99479,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_99568,plain,
! [X3_727] :
( ( multiply(X3_727,sk_c8) != sk_c9 )
| ( inverse(X3_727) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_99479]) ).
tff(c_99578,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_99287,c_99568]) ).
tff(c_99594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37816,c_99578]) ).
tff(c_99595,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_99479]) ).
tff(c_99723,plain,
! [X5_731] :
( ( inverse(X5_731) != sk_c8 )
| ( multiply(X5_731,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_99595]) ).
tff(c_99739,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37847,c_99723]) ).
tff(c_99752,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37802,c_99739]) ).
tff(c_99753,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_99595]) ).
tff(c_99865,plain,
! [X2_734] :
( ( inverse(X2_734) != sk_c8 )
| ( multiply(X2_734,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_99753]) ).
tff(c_99881,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37847,c_99865]) ).
tff(c_99894,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37802,c_99881]) ).
tff(c_99895,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_99753]) ).
tff(c_100097,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99998,c_99999,c_99895]) ).
tff(c_100098,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_100097]) ).
tff(c_100885,plain,
inverse(sk_c3) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_100268,c_100444,c_100268,c_100098]) ).
tff(c_100265,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_100259,c_100259,c_100199]) ).
tff(c_100887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100885,c_100265]) ).
tff(c_100888,plain,
! [X1_9] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_100097]) ).
tff(c_101975,plain,
! [X1_766] :
( ( inverse(X1_766) != sk_c3 )
| ( multiply(X1_766,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101227,c_101227,c_100888]) ).
tff(c_101978,plain,
inverse(sk_c3) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_101241,c_101975]) ).
tff(c_101994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101226,c_101978]) ).
tff(c_101996,plain,
inverse(sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_154125,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_101996,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_154106,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_101996,c_58]) ).
tff(c_154110,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154106,c_4]) ).
tff(c_154166,plain,
! [X_1052,Y_1053,Z_1054] : ( multiply(multiply(X_1052,Y_1053),Z_1054) = multiply(X_1052,multiply(Y_1053,Z_1054)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_154190,plain,
! [Z_1054] : ( multiply(sk_c9,multiply(sk_c4,Z_1054)) = multiply(identity,Z_1054) ),
inference(superposition,[status(thm),theory(equality)],[c_154110,c_154166]) ).
tff(c_154216,plain,
! [Z_1055] : ( multiply(sk_c9,multiply(sk_c4,Z_1055)) = Z_1055 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154190]) ).
tff(c_154228,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154125,c_154216]) ).
tff(c_154202,plain,
! [X_2,Z_1054] : ( multiply(inverse(X_2),multiply(X_2,Z_1054)) = multiply(identity,Z_1054) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_154166]) ).
tff(c_154591,plain,
! [X_1066,Z_1067] : ( multiply(inverse(X_1066),multiply(X_1066,Z_1067)) = Z_1067 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154202]) ).
tff(c_154654,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_154228,c_154591]) ).
tff(c_154709,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_154654]) ).
tff(c_154469,plain,
! [Z_1064] : ( multiply(sk_c4,multiply(sk_c9,Z_1064)) = multiply(sk_c8,Z_1064) ),
inference(superposition,[status(thm),theory(equality)],[c_154125,c_154166]) ).
tff(c_154496,plain,
multiply(sk_c8,sk_c4) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_154110,c_154469]) ).
tff(c_154770,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_154709,c_154496]) ).
tff(c_154785,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154770]) ).
tff(c_102046,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_101996,c_58]) ).
tff(c_102050,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102046,c_4]) ).
tff(c_102060,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_101996,c_56]) ).
tff(c_102099,plain,
! [X_767,Y_768,Z_769] : ( multiply(multiply(X_767,Y_768),Z_769) = multiply(X_767,multiply(Y_768,Z_769)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_102123,plain,
! [Z_769] : ( multiply(sk_c9,multiply(sk_c4,Z_769)) = multiply(identity,Z_769) ),
inference(superposition,[status(thm),theory(equality)],[c_102050,c_102099]) ).
tff(c_102153,plain,
! [Z_770] : ( multiply(sk_c9,multiply(sk_c4,Z_770)) = Z_770 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102123]) ).
tff(c_102165,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102060,c_102153]) ).
tff(c_102138,plain,
! [X_2,Z_769] : ( multiply(inverse(X_2),multiply(X_2,Z_769)) = multiply(identity,Z_769) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102099]) ).
tff(c_102410,plain,
! [X_781,Z_782] : ( multiply(inverse(X_781),multiply(X_781,Z_782)) = Z_782 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102138]) ).
tff(c_102458,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_102165,c_102410]) ).
tff(c_102516,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102458]) ).
tff(c_102120,plain,
! [Z_769] : ( multiply(sk_c4,multiply(sk_c9,Z_769)) = multiply(sk_c8,Z_769) ),
inference(superposition,[status(thm),theory(equality)],[c_102060,c_102099]) ).
tff(c_103743,plain,
! [Z_799] : ( multiply(sk_c4,multiply(sk_c9,Z_799)) = Z_799 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102516,c_102120]) ).
tff(c_103770,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_102050,c_103743]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_102078,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_101996,c_66]) ).
tff(c_103732,plain,
multiply(sk_c6,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_102516,c_102078]) ).
tff(c_102114,plain,
! [Z_769] : ( multiply(sk_c6,multiply(sk_c8,Z_769)) = multiply(sk_c9,Z_769) ),
inference(superposition,[status(thm),theory(equality)],[c_102078,c_102099]) ).
tff(c_103844,plain,
! [Z_769] : ( multiply(sk_c9,Z_769) = multiply(sk_c6,Z_769) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102516,c_102114]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_102034,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_101996,c_64]) ).
tff(c_103846,plain,
! [Z_800] : ( multiply(sk_c9,Z_800) = multiply(sk_c6,Z_800) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102516,c_102114]) ).
tff(c_103888,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102050,c_103846]) ).
tff(c_102151,plain,
! [X_2,Z_769] : ( multiply(inverse(X_2),multiply(X_2,Z_769)) = Z_769 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102138]) ).
tff(c_104064,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_103888,c_102151]) ).
tff(c_104073,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_103732,c_103844,c_102034,c_104064]) ).
tff(c_104098,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_104073,c_102046]) ).
tff(c_102021,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_104102,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_104073,c_102021]) ).
tff(c_102506,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102410]) ).
tff(c_104161,plain,
multiply(inverse(sk_c4),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_104102,c_102506]) ).
tff(c_104170,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_103770,c_104098,c_104161]) ).
tff(c_104176,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_104170,c_104170,c_104098]) ).
tff(c_104100,plain,
inverse(sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_104073,c_102034]) ).
tff(c_104127,plain,
multiply(inverse(sk_c4),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_104100,c_102506]) ).
tff(c_104136,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_103770,c_104098,c_104127]) ).
tff(c_104174,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_104170,c_104136]) ).
tff(c_104133,plain,
multiply(sk_c4,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104100,c_4]) ).
tff(c_104218,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104174,c_104170,c_104133]) ).
tff(c_104278,plain,
! [X_802,Z_803] : ( multiply(inverse(inverse(X_802)),Z_803) = multiply(X_802,Z_803) ),
inference(superposition,[status(thm),theory(equality)],[c_102151,c_102410]) ).
tff(c_104285,plain,
! [X_802] : ( multiply(X_802,identity) = X_802 ),
inference(superposition,[status(thm),theory(equality)],[c_104278,c_102506]) ).
tff(c_104177,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_104170,c_104073]) ).
tff(c_103085,plain,
! [X_786,Z_787] : ( multiply(inverse(inverse(X_786)),Z_787) = multiply(X_786,Z_787) ),
inference(superposition,[status(thm),theory(equality)],[c_102410,c_102151]) ).
tff(c_103092,plain,
! [X_786] : ( multiply(X_786,identity) = X_786 ),
inference(superposition,[status(thm),theory(equality)],[c_103085,c_102506]) ).
tff(c_60,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_102069,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_101996,c_60]) ).
tff(c_101995,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_102000,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_101995,c_4]) ).
tff(c_102135,plain,
! [Z_769] : ( multiply(sk_c8,multiply(sk_c5,Z_769)) = multiply(identity,Z_769) ),
inference(superposition,[status(thm),theory(equality)],[c_102000,c_102099]) ).
tff(c_102264,plain,
! [Z_775] : ( multiply(sk_c8,multiply(sk_c5,Z_775)) = Z_775 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102135]) ).
tff(c_102276,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_102069,c_102264]) ).
tff(c_102446,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102276,c_102410]) ).
tff(c_102515,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102446]) ).
tff(c_102216,plain,
! [X4_773] :
( ( inverse(X4_773) != sk_c9 )
| ( multiply(X4_773,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_102226,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102060,c_102216]) ).
tff(c_102239,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102046,c_102226]) ).
tff(c_102240,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_102314,plain,
! [X3_778] :
( ( multiply(X3_778,sk_c8) != sk_c9 )
| ( inverse(X3_778) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_102240]) ).
tff(c_102324,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102078,c_102314]) ).
tff(c_102340,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102034,c_102324]) ).
tff(c_102341,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_102240]) ).
tff(c_102539,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102515,c_102515,c_102515,c_102341]) ).
tff(c_102540,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_102539]) ).
tff(c_103724,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_103092,c_102516,c_102516,c_102540]) ).
tff(c_102550,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102516,c_101995]) ).
tff(c_102562,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102550,c_4]) ).
tff(c_102569,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_102562,c_102151]) ).
tff(c_102581,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102569]) ).
tff(c_102585,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102581,c_102550]) ).
tff(c_103726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103724,c_102585]) ).
tff(c_103727,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != identity ) ),
inference(splitRight,[status(thm)],[c_102539]) ).
tff(c_153989,plain,
! [X6_7,X1_9,X2_10] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104285,c_102516,c_102516,c_104177,c_102516,c_104177,c_104177,c_104285,c_104177,c_103727]) ).
tff(c_153991,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_153989]) ).
tff(c_103737,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102516,c_101995]) ).
tff(c_103790,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_103737,c_4]) ).
tff(c_103807,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_103790,c_102151]) ).
tff(c_103819,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103807]) ).
tff(c_103823,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_103819,c_103737]) ).
tff(c_153993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153991,c_103823]) ).
tff(c_153994,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c1 )
| ( multiply(X1_9,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_153989]) ).
tff(c_153996,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_153994]) ).
tff(c_153998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153996,c_104176]) ).
tff(c_154001,plain,
! [X1_1051] :
( ( inverse(X1_1051) != sk_c1 )
| ( multiply(X1_1051,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_153994]) ).
tff(c_154063,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_104218,c_154001]) ).
tff(c_154091,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104176,c_154063]) ).
tff(c_154092,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_154097,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154092,c_4]) ).
tff(c_154499,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_154097,c_154469]) ).
tff(c_154769,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_154709,c_154499]) ).
tff(c_154784,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154769]) ).
tff(c_155871,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_154785,c_154784]) ).
tff(c_154146,plain,
multiply(sk_c6,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_101996,c_66]) ).
tff(c_154777,plain,
multiply(sk_c6,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_154709,c_154146]) ).
tff(c_155873,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_155871,c_154777]) ).
tff(c_155877,plain,
sk_c9 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_154785,c_155873]) ).
tff(c_155889,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_155877,c_154106]) ).
tff(c_154193,plain,
! [Z_1054] : ( multiply(sk_c9,multiply(sk_c6,Z_1054)) = multiply(identity,Z_1054) ),
inference(superposition,[status(thm),theory(equality)],[c_154097,c_154166]) ).
tff(c_154377,plain,
! [Z_1061] : ( multiply(sk_c9,multiply(sk_c6,Z_1061)) = Z_1061 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154193]) ).
tff(c_154389,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_154146,c_154377]) ).
tff(c_154774,plain,
multiply(sk_c9,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_154709,c_154389]) ).
tff(c_155886,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_155877,c_155877,c_154774]) ).
tff(c_154214,plain,
! [X_2,Z_1054] : ( multiply(inverse(X_2),multiply(X_2,Z_1054)) = Z_1054 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154202]) ).
tff(c_156057,plain,
! [X_1086,Z_1087] : ( multiply(inverse(inverse(X_1086)),Z_1087) = multiply(X_1086,Z_1087) ),
inference(superposition,[status(thm),theory(equality)],[c_154214,c_154591]) ).
tff(c_154696,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_154591]) ).
tff(c_156068,plain,
! [X_1086] : ( multiply(X_1086,identity) = X_1086 ),
inference(superposition,[status(thm),theory(equality)],[c_156057,c_154696]) ).
tff(c_155179,plain,
! [X_1071,Z_1072] : ( multiply(inverse(inverse(X_1071)),Z_1072) = multiply(X_1071,Z_1072) ),
inference(superposition,[status(thm),theory(equality)],[c_154591,c_154214]) ).
tff(c_155186,plain,
! [X_1071] : ( multiply(X_1071,identity) = X_1071 ),
inference(superposition,[status(thm),theory(equality)],[c_155179,c_154696]) ).
tff(c_154093,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_154130,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_154093,c_24]) ).
tff(c_154199,plain,
! [Z_1054] : ( multiply(sk_c8,multiply(sk_c5,Z_1054)) = multiply(identity,Z_1054) ),
inference(superposition,[status(thm),theory(equality)],[c_102000,c_154166]) ).
tff(c_154318,plain,
! [Z_1059] : ( multiply(sk_c8,multiply(sk_c5,Z_1059)) = Z_1059 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154199]) ).
tff(c_154330,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_154130,c_154318]) ).
tff(c_154648,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_154330,c_154591]) ).
tff(c_154708,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_154648]) ).
tff(c_154286,plain,
! [X4_1058] :
( ( inverse(X4_1058) != sk_c9 )
| ( multiply(X4_1058,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_154296,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154125,c_154286]) ).
tff(c_154309,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154106,c_154296]) ).
tff(c_154310,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_154433,plain,
! [X3_1063] :
( ( multiply(X3_1063,sk_c8) != sk_c9 )
| ( inverse(X3_1063) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_154310]) ).
tff(c_154443,plain,
inverse(sk_c6) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154146,c_154433]) ).
tff(c_154459,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154092,c_154443]) ).
tff(c_154460,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_154310]) ).
tff(c_154556,plain,
! [X5_1065] :
( ( inverse(X5_1065) != sk_c8 )
| ( multiply(X5_1065,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_154460]) ).
tff(c_154575,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_154130,c_154556]) ).
tff(c_154589,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101995,c_154575]) ).
tff(c_154590,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_154460]) ).
tff(c_154805,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154709,c_154708,c_154709,c_154709,c_154708,c_154590]) ).
tff(c_154806,plain,
! [X2_10] :
( ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_154805]) ).
tff(c_155680,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_155186,c_154806]) ).
tff(c_154782,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_154709,c_101995]) ).
tff(c_154801,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154782,c_4]) ).
tff(c_154850,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_154801,c_154214]) ).
tff(c_154862,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_154850]) ).
tff(c_154866,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_154862,c_154782]) ).
tff(c_155682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155680,c_154866]) ).
tff(c_155683,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X6_7) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_154805]) ).
tff(c_174379,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c4 )
| ( multiply(X1_9,sk_c4) != identity )
| ( sk_c4 != X6_7 )
| ( inverse(X6_7) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155877,c_156068,c_155877,c_155877,c_155877,c_155683]) ).
tff(c_174381,plain,
inverse(sk_c4) != sk_c4,
inference(splitLeft,[status(thm)],[c_174379]) ).
tff(c_174383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174381,c_155889]) ).
tff(c_174385,plain,
! [X1_1224] :
( ( inverse(X1_1224) != sk_c4 )
| ( multiply(X1_1224,sk_c4) != identity ) ),
inference(splitRight,[status(thm)],[c_174379]) ).
tff(c_174432,plain,
inverse(sk_c4) != sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_155886,c_174385]) ).
tff(c_174457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155889,c_174432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % 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
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:48:22 EDT 2023
% 0.15/0.37 % CPUTime :
% 27.19/15.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.53/15.76
% 27.53/15.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 27.89/15.85
% 27.89/15.85 Inference rules
% 27.89/15.85 ----------------------
% 27.89/15.85 #Ref : 0
% 27.89/15.85 #Sup : 41841
% 27.89/15.85 #Fact : 0
% 27.89/15.85 #Define : 0
% 27.89/15.85 #Split : 64
% 27.89/15.85 #Chain : 0
% 27.89/15.85 #Close : 0
% 27.89/15.85
% 27.89/15.85 Ordering : KBO
% 27.89/15.85
% 27.89/15.85 Simplification rules
% 27.89/15.85 ----------------------
% 27.89/15.85 #Subsume : 14
% 27.89/15.85 #Demod : 146639
% 27.89/15.85 #Tautology : 34245
% 27.89/15.85 #SimpNegUnit : 74
% 27.89/15.85 #BackRed : 850
% 27.89/15.85
% 27.89/15.85 #Partial instantiations: 0
% 27.89/15.85 #Strategies tried : 1
% 27.89/15.85
% 27.89/15.85 Timing (in seconds)
% 27.89/15.85 ----------------------
% 27.89/15.85 Preprocessing : 0.51
% 27.89/15.85 Parsing : 0.21
% 27.89/15.85 CNF conversion : 0.03
% 27.89/15.85 Main loop : 14.08
% 27.89/15.85 Inferencing : 2.84
% 27.89/15.85 Reduction : 9.24
% 27.89/15.85 Demodulation : 8.70
% 27.89/15.85 BG Simplification : 0.21
% 27.89/15.85 Subsumption : 1.27
% 27.89/15.85 Abstraction : 0.66
% 27.89/15.85 MUC search : 0.00
% 27.89/15.85 Cooper : 0.00
% 27.89/15.85 Total : 14.79
% 27.89/15.85 Index Insertion : 0.00
% 27.89/15.85 Index Deletion : 0.00
% 27.89/15.85 Index Matching : 0.00
% 27.89/15.85 BG Taut test : 0.00
%------------------------------------------------------------------------------