TSTP Solution File: GRP250-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP250-1 : 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 : n021.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 10:40:39 EDT 2023
% Result : Unsatisfiable 125.64s 109.18s
% Output : CNFRefutation 126.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 603 ( 476 unt; 12 typ; 0 def)
% Number of atoms : 906 ( 866 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 694 ( 379 ~; 315 |; 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 : 380 (; 380 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
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_c7 ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
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_c8 )
| ( multiply(X6,sk_c7) != sk_c8 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X3,sk_c8) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
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_86,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
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_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( 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_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
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_c7 )
| ( 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_76127,plain,
! [X_355,Y_356,Z_357] : ( multiply(multiply(X_355,Y_356),Z_357) = multiply(X_355,multiply(Y_356,Z_357)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_76166,plain,
! [Z_357] : ( multiply(sk_c9,multiply(sk_c1,Z_357)) = multiply(identity,Z_357) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_76127]) ).
tff(c_76191,plain,
! [Z_358] : ( multiply(sk_c9,multiply(sk_c1,Z_358)) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76166]) ).
tff(c_76203,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_143,c_76191]) ).
tff(c_76175,plain,
! [X_2,Z_357] : ( multiply(inverse(X_2),multiply(X_2,Z_357)) = multiply(identity,Z_357) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_76127]) ).
tff(c_76576,plain,
! [X_371,Z_372] : ( multiply(inverse(X_371),multiply(X_371,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76175]) ).
tff(c_76618,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_76203,c_76576]) ).
tff(c_76686,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_76618]) ).
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_76713,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_76686,c_113]) ).
tff(c_76189,plain,
! [X_2,Z_357] : ( multiply(inverse(X_2),multiply(X_2,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76175]) ).
tff(c_76883,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_76713,c_76189]) ).
tff(c_76895,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_76883]) ).
tff(c_75074,plain,
! [X_330,Y_331,Z_332] : ( multiply(multiply(X_330,Y_331),Z_332) = multiply(X_330,multiply(Y_331,Z_332)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_75113,plain,
! [Z_332] : ( multiply(sk_c9,multiply(sk_c1,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_75074]) ).
tff(c_75138,plain,
! [Z_333] : ( multiply(sk_c9,multiply(sk_c1,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75113]) ).
tff(c_75150,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_143,c_75138]) ).
tff(c_75122,plain,
! [X_2,Z_332] : ( multiply(inverse(X_2),multiply(X_2,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_75074]) ).
tff(c_75589,plain,
! [X_350,Z_351] : ( multiply(inverse(X_350),multiply(X_350,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75122]) ).
tff(c_75640,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_75150,c_75589]) ).
tff(c_75710,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_75640]) ).
tff(c_62,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_97,plain,
inverse(sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_75787,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_75710,c_97]) ).
tff(c_75814,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_75787,c_4]) ).
tff(c_75136,plain,
! [X_2,Z_332] : ( multiply(inverse(X_2),multiply(X_2,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75122]) ).
tff(c_75858,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_75814,c_75136]) ).
tff(c_75870,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_75858]) ).
tff(c_40,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( 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_75116,plain,
! [Z_332] : ( multiply(sk_c8,multiply(sk_c2,Z_332)) = multiply(identity,Z_332) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_75074]) ).
tff(c_75235,plain,
! [Z_338] : ( multiply(sk_c8,multiply(sk_c2,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75116]) ).
tff(c_75247,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_151,c_75235]) ).
tff(c_75631,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_75247,c_75589]) ).
tff(c_75709,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_75631]) ).
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_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_370,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_388,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_151,c_370]) ).
tff(c_196,plain,
! [Z_16] : ( multiply(sk_c2,multiply(sk_c8,Z_16)) = multiply(sk_c7,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_178]) ).
tff(c_395,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_388,c_196]) ).
tff(c_401,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_151,c_395]) ).
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_2086,plain,
! [X_52,Z_53] : ( multiply(inverse(X_52),multiply(X_52,Z_53)) = Z_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211]) ).
tff(c_2128,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_401,c_2086]) ).
tff(c_2154,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2128]) ).
tff(c_76,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_156,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_101,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_208,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c3,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_178]) ).
tff(c_322,plain,
! [Z_21] : ( multiply(sk_c8,multiply(sk_c3,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_208]) ).
tff(c_334,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_156,c_322]) ).
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_601,plain,
! [Z_27] : ( multiply(sk_c1,multiply(sk_c9,Z_27)) = multiply(sk_c8,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_143,c_178]) ).
tff(c_616,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_236,c_601]) ).
tff(c_626,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_143,c_334,c_616]) ).
tff(c_636,plain,
multiply(sk_c1,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_626,c_143]) ).
tff(c_2160,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2154,c_636]) ).
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_2332,plain,
! [X_55,Z_56] : ( multiply(inverse(inverse(X_55)),Z_56) = multiply(X_55,Z_56) ),
inference(superposition,[status(thm),theory(equality)],[c_2086,c_222]) ).
tff(c_2143,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2086]) ).
tff(c_2342,plain,
! [X_55] : ( multiply(X_55,identity) = X_55 ),
inference(superposition,[status(thm),theory(equality)],[c_2332,c_2143]) ).
tff(c_724,plain,
! [X_28,Z_29] : ( multiply(inverse(X_28),multiply(X_28,Z_29)) = Z_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211]) ).
tff(c_1090,plain,
! [X_34,Z_35] : ( multiply(inverse(inverse(X_34)),Z_35) = multiply(X_34,Z_35) ),
inference(superposition,[status(thm),theory(equality)],[c_222,c_724]) ).
tff(c_784,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_724]) ).
tff(c_1100,plain,
! [X_34] : ( multiply(X_34,identity) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_1090,c_784]) ).
tff(c_769,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_401,c_724]) ).
tff(c_796,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_769]) ).
tff(c_465,plain,
! [X_25,Z_26] : ( multiply(inverse(X_25),multiply(X_25,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_211]) ).
tff(c_510,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_236,c_465]) ).
tff(c_556,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_510]) ).
tff(c_495,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_388,c_465]) ).
tff(c_554,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_495]) ).
tff(c_80,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( multiply(X3_8,sk_c8) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( 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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_301,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_143,c_294]) ).
tff(c_313,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_301]) ).
tff(c_314,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_435,plain,
! [X3_24] :
( ( multiply(X3_24,sk_c8) != sk_c7 )
| ( inverse(X3_24) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_314]) ).
tff(c_451,plain,
inverse(sk_c2) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_151,c_435]) ).
tff(c_462,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_451]) ).
tff(c_566,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_462]) ).
tff(c_599,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_556,c_566]) ).
tff(c_600,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_314]) ).
tff(c_678,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_626,c_626,c_626,c_626,c_626,c_626,c_626,c_600]) ).
tff(c_679,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_678]) ).
tff(c_2050,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1100,c_796,c_796,c_796,c_679]) ).
tff(c_637,plain,
multiply(sk_c7,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_626,c_113]) ).
tff(c_799,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_796,c_637]) ).
tff(c_897,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_799,c_222]) ).
tff(c_909,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_897]) ).
tff(c_638,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_626,c_109]) ).
tff(c_804,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_796,c_638]) ).
tff(c_932,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_909,c_804]) ).
tff(c_2052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2050,c_932]) ).
tff(c_2053,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_678]) ).
tff(c_74882,plain,
! [X6_7,X1_9,X2_10] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2342,c_2154,c_2154,c_2154,c_2154,c_2154,c_2342,c_2154,c_2154,c_2053]) ).
tff(c_74884,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_74882]) ).
tff(c_640,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_626,c_97]) ).
tff(c_650,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_640,c_4]) ).
tff(c_2176,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2154,c_650]) ).
tff(c_2163,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2154,c_640]) ).
tff(c_2191,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2176,c_2163]) ).
tff(c_74886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74884,c_2191]) ).
tff(c_74887,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_74882]) ).
tff(c_74889,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_74887]) ).
tff(c_74891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74889,c_2191]) ).
tff(c_74894,plain,
! [X1_329] :
( ( inverse(X1_329) != sk_c9 )
| ( multiply(X1_329,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_74887]) ).
tff(c_74976,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_2160,c_74894]) ).
tff(c_75009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_74976]) ).
tff(c_75011,plain,
multiply(sk_c3,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_75728,plain,
multiply(sk_c3,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_75709,c_75011]) ).
tff(c_76057,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_75870,c_75710,c_75728]) ).
tff(c_76059,plain,
multiply(sk_c2,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_76119,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_76059,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_76077,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_76059,c_38]) ).
tff(c_76081,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_76077,c_4]) ).
tff(c_76154,plain,
! [Z_357] : ( multiply(sk_c8,multiply(sk_c5,Z_357)) = multiply(identity,Z_357) ),
inference(superposition,[status(thm),theory(equality)],[c_76081,c_76127]) ).
tff(c_76521,plain,
! [Z_369] : ( multiply(sk_c8,multiply(sk_c5,Z_369)) = Z_369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76154]) ).
tff(c_76533,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_76119,c_76521]) ).
tff(c_76594,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_76533,c_76576]) ).
tff(c_76685,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_76594]) ).
tff(c_76710,plain,
multiply(sk_c2,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_76686,c_76059]) ).
tff(c_77036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76895,c_76685,c_76710]) ).
tff(c_77038,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_14]) ).
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_77108,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_77038,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_77055,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_77038,c_10]) ).
tff(c_77059,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_77055,c_4]) ).
tff(c_77114,plain,
! [X_375,Y_376,Z_377] : ( multiply(multiply(X_375,Y_376),Z_377) = multiply(X_375,multiply(Y_376,Z_377)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_77144,plain,
! [Z_377] : ( multiply(sk_c9,multiply(sk_c4,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_77059,c_77114]) ).
tff(c_77533,plain,
! [Z_390] : ( multiply(sk_c9,multiply(sk_c4,Z_390)) = Z_390 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77144]) ).
tff(c_77545,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_77108,c_77533]) ).
tff(c_77162,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_77114]) ).
tff(c_77593,plain,
! [X_392,Z_393] : ( multiply(inverse(X_392),multiply(X_392,Z_393)) = Z_393 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77162]) ).
tff(c_77611,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_77545,c_77593]) ).
tff(c_77702,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_77611]) ).
tff(c_77772,plain,
multiply(sk_c1,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_77702,c_77038]) ).
tff(c_77129,plain,
! [Z_377] : ( multiply(sk_c4,multiply(sk_c9,Z_377)) = multiply(sk_c8,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_77108,c_77114]) ).
tff(c_78053,plain,
! [Z_396] : ( multiply(sk_c4,multiply(sk_c9,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77702,c_77129]) ).
tff(c_78083,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_129,c_78053]) ).
tff(c_78080,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_77059,c_78053]) ).
tff(c_78107,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_78083,c_78080]) ).
tff(c_77770,plain,
multiply(sk_c4,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_77702,c_77108]) ).
tff(c_78126,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78107,c_77770]) ).
tff(c_78131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77772,c_78126]) ).
tff(c_78133,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_78168,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_78133,c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_78187,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_78133,c_24]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_78134,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_78143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78134,c_78133]) ).
tff(c_78144,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_78149,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78144,c_4]) ).
tff(c_78219,plain,
! [X_397,Y_398,Z_399] : ( multiply(multiply(X_397,Y_398),Z_399) = multiply(X_397,multiply(Y_398,Z_399)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_78249,plain,
! [Z_399] : ( multiply(sk_c8,multiply(sk_c5,Z_399)) = multiply(identity,Z_399) ),
inference(superposition,[status(thm),theory(equality)],[c_78149,c_78219]) ).
tff(c_78431,plain,
! [Z_408] : ( multiply(sk_c8,multiply(sk_c5,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78249]) ).
tff(c_78449,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_78187,c_78431]) ).
tff(c_78237,plain,
! [Z_399] : ( multiply(sk_c5,multiply(sk_c8,Z_399)) = multiply(sk_c7,Z_399) ),
inference(superposition,[status(thm),theory(equality)],[c_78187,c_78219]) ).
tff(c_78456,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_78449,c_78237]) ).
tff(c_78462,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78187,c_78456]) ).
tff(c_78258,plain,
! [X_2,Z_399] : ( multiply(inverse(X_2),multiply(X_2,Z_399)) = multiply(identity,Z_399) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_78219]) ).
tff(c_79899,plain,
! [X_431,Z_432] : ( multiply(inverse(X_431),multiply(X_431,Z_432)) = Z_432 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78258]) ).
tff(c_79938,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78462,c_79899]) ).
tff(c_79966,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_79938]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_78197,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_78133,c_30]) ).
tff(c_78132,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_78156,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78132,c_4]) ).
tff(c_78246,plain,
! [Z_399] : ( multiply(sk_c7,multiply(sk_c6,Z_399)) = multiply(identity,Z_399) ),
inference(superposition,[status(thm),theory(equality)],[c_78156,c_78219]) ).
tff(c_78687,plain,
! [Z_412] : ( multiply(sk_c7,multiply(sk_c6,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78246]) ).
tff(c_78699,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_78197,c_78687]) ).
tff(c_78703,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78462,c_78699]) ).
tff(c_20,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_78181,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78133,c_20]) ).
tff(c_78712,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78703,c_78181]) ).
tff(c_80111,plain,
multiply(sk_c4,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79966,c_78712]) ).
tff(c_78271,plain,
! [X_2,Z_399] : ( multiply(inverse(X_2),multiply(X_2,Z_399)) = Z_399 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78258]) ).
tff(c_80265,plain,
! [X_436,Z_437] : ( multiply(inverse(inverse(X_436)),Z_437) = multiply(X_436,Z_437) ),
inference(superposition,[status(thm),theory(equality)],[c_78271,c_79899]) ).
tff(c_79959,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_79899]) ).
tff(c_80275,plain,
! [X_436] : ( multiply(X_436,identity) = X_436 ),
inference(superposition,[status(thm),theory(equality)],[c_80265,c_79959]) ).
tff(c_78794,plain,
! [X_413,Z_414] : ( multiply(inverse(X_413),multiply(X_413,Z_414)) = Z_414 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78258]) ).
tff(c_79209,plain,
! [X_419,Z_420] : ( multiply(inverse(inverse(X_419)),Z_420) = multiply(X_419,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_78271,c_78794]) ).
tff(c_78863,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_78794]) ).
tff(c_79219,plain,
! [X_419] : ( multiply(X_419,identity) = X_419 ),
inference(superposition,[status(thm),theory(equality)],[c_79209,c_78863]) ).
tff(c_78842,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78462,c_78794]) ).
tff(c_78873,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_78842]) ).
tff(c_78496,plain,
! [Z_409] : ( multiply(sk_c7,multiply(sk_c6,Z_409)) = Z_409 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78246]) ).
tff(c_78508,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_78197,c_78496]) ).
tff(c_78512,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78462,c_78508]) ).
tff(c_78519,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78512,c_78197]) ).
tff(c_78346,plain,
! [X4_404] :
( ( inverse(X4_404) != sk_c9 )
| ( multiply(X4_404,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_78353,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_78181,c_78346]) ).
tff(c_78365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78168,c_78353]) ).
tff(c_78366,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_78487,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_78366]) ).
tff(c_78615,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78512,c_78487]) ).
tff(c_78665,plain,
inverse(sk_c6) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78519,c_78615]) ).
tff(c_78677,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78132,c_78665]) ).
tff(c_78678,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_78366]) ).
tff(c_78724,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78703,c_78703,c_78703,c_78703,c_78703,c_78703,c_78703,c_78678]) ).
tff(c_78725,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_78724]) ).
tff(c_79865,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_79219,c_78873,c_78873,c_78873,c_78725]) ).
tff(c_78718,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78703,c_97]) ).
tff(c_78729,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78718,c_4]) ).
tff(c_78910,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78873,c_78729]) ).
tff(c_78883,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78873,c_78718]) ).
tff(c_78935,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_78910,c_78883]) ).
tff(c_79867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79865,c_78935]) ).
tff(c_79868,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_78724]) ).
tff(c_177923,plain,
! [X6_7,X1_9,X2_10] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80275,c_79966,c_79966,c_79966,c_79966,c_79966,c_80275,c_79966,c_79966,c_79868]) ).
tff(c_177925,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_177923]) ).
tff(c_78716,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_78703,c_109]) ).
tff(c_79879,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78716,c_4]) ).
tff(c_80001,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79966,c_79879]) ).
tff(c_79971,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79966,c_78716]) ).
tff(c_80002,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80001,c_79971]) ).
tff(c_177927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177925,c_80002]) ).
tff(c_177928,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_177923]) ).
tff(c_177930,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_177928]) ).
tff(c_177932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177930,c_80002]) ).
tff(c_179681,plain,
! [X1_769] :
( ( inverse(X1_769) != sk_c9 )
| ( multiply(X1_769,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_177928]) ).
tff(c_179767,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_80111,c_179681]) ).
tff(c_179801,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78168,c_179767]) ).
tff(c_179803,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_179829,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_179803,c_46]) ).
tff(c_179852,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_179856,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179852,c_4]) ).
tff(c_54,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_179880,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_179803,c_54]) ).
tff(c_52,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_179816,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_179803,c_52]) ).
tff(c_179820,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179816,c_4]) ).
tff(c_179894,plain,
! [X_770,Y_771,Z_772] : ( multiply(multiply(X_770,Y_771),Z_772) = multiply(X_770,multiply(Y_771,Z_772)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_179924,plain,
! [Z_772] : ( multiply(sk_c7,multiply(sk_c6,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_179820,c_179894]) ).
tff(c_180055,plain,
! [Z_779] : ( multiply(sk_c7,multiply(sk_c6,Z_779)) = Z_779 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179924]) ).
tff(c_180067,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_179880,c_180055]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_179847,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_179803,c_48]) ).
tff(c_179802,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_179807,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179802,c_4]) ).
tff(c_179927,plain,
! [Z_772] : ( multiply(sk_c8,multiply(sk_c5,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_179807,c_179894]) ).
tff(c_179961,plain,
! [Z_774] : ( multiply(sk_c8,multiply(sk_c5,Z_774)) = Z_774 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179927]) ).
tff(c_179973,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_179847,c_179961]) ).
tff(c_180136,plain,
! [Z_782] : ( multiply(sk_c6,multiply(sk_c8,Z_782)) = multiply(sk_c7,Z_782) ),
inference(superposition,[status(thm),theory(equality)],[c_179880,c_179894]) ).
tff(c_180154,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_179973,c_180136]) ).
tff(c_180167,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_179880,c_180067,c_180154]) ).
tff(c_180170,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180167,c_180067]) ).
tff(c_179933,plain,
! [X_2,Z_772] : ( multiply(inverse(X_2),multiply(X_2,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_179894]) ).
tff(c_181429,plain,
! [X_800,Z_801] : ( multiply(inverse(X_800),multiply(X_800,Z_801)) = Z_801 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179933]) ).
tff(c_181459,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_180170,c_181429]) ).
tff(c_181513,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_181459]) ).
tff(c_181529,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181513,c_180167]) ).
tff(c_44,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_179870,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_179803,c_44]) ).
tff(c_179912,plain,
! [Z_772] : ( multiply(sk_c4,multiply(sk_c9,Z_772)) = multiply(sk_c8,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_179870,c_179894]) ).
tff(c_181600,plain,
! [Z_802] : ( multiply(sk_c4,multiply(sk_c9,Z_802)) = Z_802 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_181529,c_179912]) ).
tff(c_181624,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_179856,c_181600]) ).
tff(c_179833,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_179829,c_4]) ).
tff(c_181627,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_179833,c_181600]) ).
tff(c_181727,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_181624,c_181627]) ).
tff(c_180175,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180167,c_179870]) ).
tff(c_181519,plain,
multiply(sk_c4,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181513,c_180175]) ).
tff(c_181746,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181727,c_181519]) ).
tff(c_179946,plain,
! [X_2,Z_772] : ( multiply(inverse(X_2),multiply(X_2,Z_772)) = Z_772 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179933]) ).
tff(c_181839,plain,
! [X_804,Z_805] : ( multiply(inverse(inverse(X_804)),Z_805) = multiply(X_804,Z_805) ),
inference(superposition,[status(thm),theory(equality)],[c_179946,c_181429]) ).
tff(c_181504,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_181429]) ).
tff(c_181846,plain,
! [X_804] : ( multiply(X_804,identity) = X_804 ),
inference(superposition,[status(thm),theory(equality)],[c_181839,c_181504]) ).
tff(c_180263,plain,
! [X_783,Z_784] : ( multiply(inverse(X_783),multiply(X_783,Z_784)) = Z_784 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179933]) ).
tff(c_180673,plain,
! [X_787,Z_788] : ( multiply(inverse(inverse(X_787)),Z_788) = multiply(X_787,Z_788) ),
inference(superposition,[status(thm),theory(equality)],[c_180263,c_179946]) ).
tff(c_180338,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_180263]) ).
tff(c_180680,plain,
! [X_787] : ( multiply(X_787,identity) = X_787 ),
inference(superposition,[status(thm),theory(equality)],[c_180673,c_180338]) ).
tff(c_180293,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_180170,c_180263]) ).
tff(c_180347,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_180293]) ).
tff(c_180014,plain,
! [X4_777] :
( ( inverse(X4_777) != sk_c9 )
| ( multiply(X4_777,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_180021,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_179870,c_180014]) ).
tff(c_180033,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179829,c_180021]) ).
tff(c_180034,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_180102,plain,
! [X3_781] :
( ( multiply(X3_781,sk_c8) != sk_c7 )
| ( inverse(X3_781) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_180034]) ).
tff(c_180112,plain,
inverse(sk_c6) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_179880,c_180102]) ).
tff(c_180127,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179816,c_180112]) ).
tff(c_180128,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_180034]) ).
tff(c_180207,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180167,c_180167,c_180167,c_180167,c_180167,c_180167,c_180167,c_180128]) ).
tff(c_180208,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_180207]) ).
tff(c_181372,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_180680,c_180347,c_180347,c_180347,c_180208]) ).
tff(c_180181,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_180167,c_97]) ).
tff(c_180196,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_180181,c_4]) ).
tff(c_180377,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180347,c_180196]) ).
tff(c_180360,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_180347,c_180181]) ).
tff(c_180392,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_180377,c_180360]) ).
tff(c_181374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181372,c_180392]) ).
tff(c_181375,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_180207]) ).
tff(c_248859,plain,
! [X6_7,X1_9,X2_10] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181846,c_181513,c_181513,c_181513,c_181513,c_181513,c_181846,c_181513,c_181513,c_181375]) ).
tff(c_248861,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_248859]) ).
tff(c_181543,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_181513,c_180196]) ).
tff(c_181526,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181513,c_180181]) ).
tff(c_181558,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_181543,c_181526]) ).
tff(c_248863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248861,c_181558]) ).
tff(c_248864,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_248859]) ).
tff(c_248866,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_248864]) ).
tff(c_248868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248866,c_181558]) ).
tff(c_248871,plain,
! [X1_1067] :
( ( inverse(X1_1067) != sk_c9 )
| ( multiply(X1_1067,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_248864]) ).
tff(c_248953,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_181746,c_248871]) ).
tff(c_248986,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179852,c_248953]) ).
tff(c_248987,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_249022,plain,
! [X_1068,Y_1069,Z_1070] : ( multiply(multiply(X_1068,Y_1069),Z_1070) = multiply(X_1068,multiply(Y_1069,Z_1070)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_249049,plain,
! [Z_1070] : ( multiply(sk_c7,multiply(sk_c6,Z_1070)) = multiply(identity,Z_1070) ),
inference(superposition,[status(thm),theory(equality)],[c_179820,c_249022]) ).
tff(c_249319,plain,
! [Z_1080] : ( multiply(sk_c7,multiply(sk_c6,Z_1080)) = Z_1080 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249049]) ).
tff(c_249331,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_248987,c_249319]) ).
tff(c_249052,plain,
! [Z_1070] : ( multiply(sk_c8,multiply(sk_c5,Z_1070)) = multiply(identity,Z_1070) ),
inference(superposition,[status(thm),theory(equality)],[c_179807,c_249022]) ).
tff(c_249380,plain,
! [Z_1082] : ( multiply(sk_c8,multiply(sk_c5,Z_1082)) = Z_1082 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249052]) ).
tff(c_249398,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_179847,c_249380]) ).
tff(c_249043,plain,
! [Z_1070] : ( multiply(sk_c5,multiply(sk_c8,Z_1070)) = multiply(sk_c7,Z_1070) ),
inference(superposition,[status(thm),theory(equality)],[c_179847,c_249022]) ).
tff(c_249405,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_249398,c_249043]) ).
tff(c_249411,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_249331,c_179847,c_249405]) ).
tff(c_248988,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_248993,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_248988,c_20]) ).
tff(c_249046,plain,
! [Z_1070] : ( multiply(sk_c9,multiply(sk_c4,Z_1070)) = multiply(identity,Z_1070) ),
inference(superposition,[status(thm),theory(equality)],[c_179833,c_249022]) ).
tff(c_249072,plain,
! [Z_1071] : ( multiply(sk_c9,multiply(sk_c4,Z_1071)) = Z_1071 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249046]) ).
tff(c_249084,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_248993,c_249072]) ).
tff(c_249522,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_249084]) ).
tff(c_249058,plain,
! [X_2,Z_1070] : ( multiply(inverse(X_2),multiply(X_2,Z_1070)) = multiply(identity,Z_1070) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_249022]) ).
tff(c_250962,plain,
! [X_1108,Z_1109] : ( multiply(inverse(X_1108),multiply(X_1108,Z_1109)) = Z_1109 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249058]) ).
tff(c_250986,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_249522,c_250962]) ).
tff(c_251040,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_250986]) ).
tff(c_249523,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_248993]) ).
tff(c_251046,plain,
multiply(sk_c4,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_251040,c_249523]) ).
tff(c_249070,plain,
! [X_2,Z_1070] : ( multiply(inverse(X_2),multiply(X_2,Z_1070)) = Z_1070 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249058]) ).
tff(c_251287,plain,
! [X_1112,Z_1113] : ( multiply(inverse(inverse(X_1112)),Z_1113) = multiply(X_1112,Z_1113) ),
inference(superposition,[status(thm),theory(equality)],[c_249070,c_250962]) ).
tff(c_251031,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_250962]) ).
tff(c_251297,plain,
! [X_1112] : ( multiply(X_1112,identity) = X_1112 ),
inference(superposition,[status(thm),theory(equality)],[c_251287,c_251031]) ).
tff(c_249678,plain,
! [X_1086,Z_1087] : ( multiply(inverse(X_1086),multiply(X_1086,Z_1087)) = Z_1087 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249058]) ).
tff(c_249970,plain,
! [X_1091,Z_1092] : ( multiply(inverse(inverse(X_1091)),Z_1092) = multiply(X_1091,Z_1092) ),
inference(superposition,[status(thm),theory(equality)],[c_249678,c_249070]) ).
tff(c_249744,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_249678]) ).
tff(c_249977,plain,
! [X_1091] : ( multiply(X_1091,identity) = X_1091 ),
inference(superposition,[status(thm),theory(equality)],[c_249970,c_249744]) ).
tff(c_249705,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_249522,c_249678]) ).
tff(c_249753,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_249705]) ).
tff(c_249425,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_179802]) ).
tff(c_249422,plain,
multiply(sk_c5,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_179847]) ).
tff(c_249177,plain,
! [Z_1076] : ( multiply(sk_c7,multiply(sk_c6,Z_1076)) = Z_1076 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249049]) ).
tff(c_249189,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_248987,c_249177]) ).
tff(c_249200,plain,
! [Z_1077] : ( multiply(sk_c8,multiply(sk_c5,Z_1077)) = Z_1077 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249052]) ).
tff(c_249212,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_179847,c_249200]) ).
tff(c_249247,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_249212,c_249043]) ).
tff(c_249253,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_249189,c_179847,c_249247]) ).
tff(c_249262,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_249253,c_248987]) ).
tff(c_249155,plain,
! [X4_1075] :
( ( inverse(X4_1075) != sk_c9 )
| ( multiply(X4_1075,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_249162,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_248993,c_249155]) ).
tff(c_249174,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179829,c_249162]) ).
tff(c_249175,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_249176,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_249175]) ).
tff(c_249287,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_249253,c_249176]) ).
tff(c_249305,plain,
inverse(sk_c6) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_249262,c_249287]) ).
tff(c_249317,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179816,c_249305]) ).
tff(c_249318,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_249175]) ).
tff(c_249413,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_249318]) ).
tff(c_249490,plain,
! [X5_1083] :
( ( inverse(X5_1083) != sk_c7 )
| ( multiply(X5_1083,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_249411,c_249413]) ).
tff(c_249493,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_249422,c_249490]) ).
tff(c_249515,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_249425,c_249493]) ).
tff(c_249516,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_249318]) ).
tff(c_249592,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_249411,c_249411,c_249411,c_249411,c_249516]) ).
tff(c_249593,plain,
! [X2_10] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_249592]) ).
tff(c_250931,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_249977,c_249753,c_249753,c_249753,c_249593]) ).
tff(c_249529,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_101]) ).
tff(c_249335,plain,
! [Z_1081] : ( multiply(sk_c5,multiply(sk_c8,Z_1081)) = multiply(sk_c7,Z_1081) ),
inference(superposition,[status(thm),theory(equality)],[c_179847,c_249022]) ).
tff(c_249353,plain,
multiply(sk_c7,sk_c3) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_101,c_249335]) ).
tff(c_249565,plain,
multiply(sk_c5,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_249529,c_249353]) ).
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_249604,plain,
! [Z_5] : ( multiply(sk_c5,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_249565,c_6]) ).
tff(c_249607,plain,
! [Z_5] : ( multiply(sk_c5,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_249604]) ).
tff(c_249068,plain,
! [Z_1070] : ( multiply(sk_c8,multiply(sk_c5,Z_1070)) = Z_1070 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_249052]) ).
tff(c_249518,plain,
! [Z_1070] : ( multiply(sk_c7,multiply(sk_c5,Z_1070)) = Z_1070 ),
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_249068]) ).
tff(c_249641,plain,
! [Z_1085] : ( multiply(sk_c7,Z_1085) = Z_1085 ),
inference(demodulation,[status(thm),theory(equality)],[c_249607,c_249518]) ).
tff(c_249674,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_179820,c_249641]) ).
tff(c_249770,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_249753,c_179816]) ).
tff(c_249862,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_249674,c_249770]) ).
tff(c_250933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250931,c_249862]) ).
tff(c_250934,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_249592]) ).
tff(c_273755,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_251040,c_251297,c_251040,c_251040,c_251040,c_250934]) ).
tff(c_273757,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_273755]) ).
tff(c_249530,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_249411,c_97]) ).
tff(c_249554,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_249530,c_4]) ).
tff(c_251071,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_251040,c_249554]) ).
tff(c_251052,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_251040,c_249530]) ).
tff(c_251086,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_251071,c_251052]) ).
tff(c_273759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_273757,c_251086]) ).
tff(c_273761,plain,
! [X1_1245] :
( ( inverse(X1_1245) != sk_c9 )
| ( multiply(X1_1245,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_273755]) ).
tff(c_273817,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_251046,c_273761]) ).
tff(c_273844,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179829,c_273817]) ).
tff(c_273846,plain,
inverse(sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_348081,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_273846,c_58]) ).
tff(c_273871,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_273875,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_273871,c_4]) ).
tff(c_60,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_273919,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_273846,c_60]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_273928,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_273846,c_66]) ).
tff(c_64,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_273884,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_273846,c_64]) ).
tff(c_273888,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_273884,c_4]) ).
tff(c_273949,plain,
! [X_1246,Y_1247,Z_1248] : ( multiply(multiply(X_1246,Y_1247),Z_1248) = multiply(X_1246,multiply(Y_1247,Z_1248)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_273976,plain,
! [Z_1248] : ( multiply(sk_c7,multiply(sk_c6,Z_1248)) = multiply(identity,Z_1248) ),
inference(superposition,[status(thm),theory(equality)],[c_273888,c_273949]) ).
tff(c_274087,plain,
! [Z_1253] : ( multiply(sk_c7,multiply(sk_c6,Z_1253)) = Z_1253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273976]) ).
tff(c_274099,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_273928,c_274087]) ).
tff(c_273845,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_273850,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_273845,c_4]) ).
tff(c_273985,plain,
! [Z_1248] : ( multiply(sk_c8,multiply(sk_c5,Z_1248)) = multiply(identity,Z_1248) ),
inference(superposition,[status(thm),theory(equality)],[c_273850,c_273949]) ).
tff(c_274110,plain,
! [Z_1254] : ( multiply(sk_c8,multiply(sk_c5,Z_1254)) = Z_1254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273985]) ).
tff(c_274122,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_273919,c_274110]) ).
tff(c_274200,plain,
! [Z_1259] : ( multiply(sk_c5,multiply(sk_c8,Z_1259)) = multiply(sk_c7,Z_1259) ),
inference(superposition,[status(thm),theory(equality)],[c_273919,c_273949]) ).
tff(c_274218,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_274122,c_274200]) ).
tff(c_274231,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_273919,c_274099,c_274218]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_273910,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_273846,c_56]) ).
tff(c_273896,plain,
inverse(sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_273846,c_58]) ).
tff(c_273900,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_273896,c_4]) ).
tff(c_273973,plain,
! [Z_1248] : ( multiply(sk_c9,multiply(sk_c4,Z_1248)) = multiply(identity,Z_1248) ),
inference(superposition,[status(thm),theory(equality)],[c_273900,c_273949]) ).
tff(c_274003,plain,
! [Z_1249] : ( multiply(sk_c9,multiply(sk_c4,Z_1249)) = Z_1249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273973]) ).
tff(c_274015,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_273910,c_274003]) ).
tff(c_274237,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_274231,c_274015]) ).
tff(c_273988,plain,
! [X_2,Z_1248] : ( multiply(inverse(X_2),multiply(X_2,Z_1248)) = multiply(identity,Z_1248) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_273949]) ).
tff(c_275532,plain,
! [X_1279,Z_1280] : ( multiply(inverse(X_1279),multiply(X_1279,Z_1280)) = Z_1280 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273988]) ).
tff(c_275556,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_274237,c_275532]) ).
tff(c_275606,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_275556]) ).
tff(c_275618,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275606,c_274231]) ).
tff(c_273970,plain,
! [Z_1248] : ( multiply(sk_c4,multiply(sk_c9,Z_1248)) = multiply(sk_c8,Z_1248) ),
inference(superposition,[status(thm),theory(equality)],[c_273910,c_273949]) ).
tff(c_275672,plain,
! [Z_1281] : ( multiply(sk_c4,multiply(sk_c9,Z_1281)) = Z_1281 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_275618,c_273970]) ).
tff(c_275699,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_273875,c_275672]) ).
tff(c_275696,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_273900,c_275672]) ).
tff(c_275812,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_275699,c_275696]) ).
tff(c_274240,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_274231,c_273910]) ).
tff(c_275706,plain,
multiply(sk_c4,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275606,c_274240]) ).
tff(c_275830,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275812,c_275706]) ).
tff(c_274001,plain,
! [X_2,Z_1248] : ( multiply(inverse(X_2),multiply(X_2,Z_1248)) = Z_1248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273988]) ).
tff(c_275926,plain,
! [X_1283,Z_1284] : ( multiply(inverse(inverse(X_1283)),Z_1284) = multiply(X_1283,Z_1284) ),
inference(superposition,[status(thm),theory(equality)],[c_274001,c_275532]) ).
tff(c_275598,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_275532]) ).
tff(c_275933,plain,
! [X_1283] : ( multiply(X_1283,identity) = X_1283 ),
inference(superposition,[status(thm),theory(equality)],[c_275926,c_275598]) ).
tff(c_274328,plain,
! [X_1260,Z_1261] : ( multiply(inverse(X_1260),multiply(X_1260,Z_1261)) = Z_1261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_273988]) ).
tff(c_274822,plain,
! [X_1266,Z_1267] : ( multiply(inverse(inverse(X_1266)),Z_1267) = multiply(X_1266,Z_1267) ),
inference(superposition,[status(thm),theory(equality)],[c_274001,c_274328]) ).
tff(c_274403,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_274328]) ).
tff(c_274829,plain,
! [X_1266] : ( multiply(X_1266,identity) = X_1266 ),
inference(superposition,[status(thm),theory(equality)],[c_274822,c_274403]) ).
tff(c_274361,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_274237,c_274328]) ).
tff(c_274413,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_274361]) ).
tff(c_274066,plain,
! [X4_1252] :
( ( inverse(X4_1252) != sk_c9 )
| ( multiply(X4_1252,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_274073,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_273910,c_274066]) ).
tff(c_274085,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_273896,c_274073]) ).
tff(c_274086,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_274160,plain,
! [X3_1257] :
( ( multiply(X3_1257,sk_c8) != sk_c7 )
| ( inverse(X3_1257) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_274086]) ).
tff(c_274170,plain,
inverse(sk_c6) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_273928,c_274160]) ).
tff(c_274185,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_273884,c_274170]) ).
tff(c_274186,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_274086]) ).
tff(c_274271,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_274231,c_274231,c_274231,c_274231,c_274231,c_274231,c_274231,c_274186]) ).
tff(c_274272,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_274271]) ).
tff(c_275506,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_274829,c_274413,c_274413,c_274413,c_274272]) ).
tff(c_274430,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_274413,c_273888]) ).
tff(c_274511,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_274430,c_274001]) ).
tff(c_274523,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_274511]) ).
tff(c_274431,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_274413,c_273884]) ).
tff(c_274546,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_274523,c_274431]) ).
tff(c_275508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275506,c_274546]) ).
tff(c_275509,plain,
! [X6_7,X1_9,X2_10] :
( ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_274271]) ).
tff(c_346608,plain,
! [X6_7,X1_9,X2_10] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_275933,c_275606,c_275606,c_275606,c_275606,c_275606,c_275933,c_275606,c_275606,c_275509]) ).
tff(c_346610,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_346608]) ).
tff(c_274245,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_274231,c_273845]) ).
tff(c_274253,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_274245,c_4]) ).
tff(c_275632,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_275606,c_274253]) ).
tff(c_275616,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275606,c_274245]) ).
tff(c_275647,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_275632,c_275616]) ).
tff(c_346612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_346610,c_275647]) ).
tff(c_346613,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_346608]) ).
tff(c_346615,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_346613]) ).
tff(c_346617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_346615,c_275647]) ).
tff(c_347951,plain,
! [X1_1558] :
( ( inverse(X1_1558) != sk_c9 )
| ( multiply(X1_1558,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_346613]) ).
tff(c_348033,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_275830,c_347951]) ).
tff(c_348066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_273871,c_348033]) ).
tff(c_348068,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_348105,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_348068,c_24]) ).
tff(c_348141,plain,
! [X_1559,Y_1560,Z_1561] : ( multiply(multiply(X_1559,Y_1560),Z_1561) = multiply(X_1559,multiply(Y_1560,Z_1561)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_348174,plain,
! [Z_1561] : ( multiply(sk_c8,multiply(sk_c5,Z_1561)) = multiply(identity,Z_1561) ),
inference(superposition,[status(thm),theory(equality)],[c_273850,c_348141]) ).
tff(c_348289,plain,
! [Z_1566] : ( multiply(sk_c8,multiply(sk_c5,Z_1566)) = Z_1566 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_348174]) ).
tff(c_348301,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_348105,c_348289]) ).
tff(c_348312,plain,
! [Z_1567] : ( multiply(sk_c5,multiply(sk_c8,Z_1567)) = multiply(sk_c7,Z_1567) ),
inference(superposition,[status(thm),theory(equality)],[c_348105,c_348141]) ).
tff(c_348327,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_348301,c_348312]) ).
tff(c_348340,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_348105,c_348327]) ).
tff(c_348177,plain,
! [X_2,Z_1561] : ( multiply(inverse(X_2),multiply(X_2,Z_1561)) = multiply(identity,Z_1561) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_348141]) ).
tff(c_349552,plain,
! [X_1586,Z_1587] : ( multiply(inverse(X_1586),multiply(X_1586,Z_1587)) = Z_1587 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_348177]) ).
tff(c_349579,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_348340,c_349552]) ).
tff(c_349607,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_349579]) ).
tff(c_348121,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_273846,c_66]) ).
tff(c_348067,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_348072,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_348067,c_4]) ).
tff(c_348168,plain,
! [Z_1561] : ( multiply(sk_c7,multiply(sk_c6,Z_1561)) = multiply(identity,Z_1561) ),
inference(superposition,[status(thm),theory(equality)],[c_348072,c_348141]) ).
tff(c_348348,plain,
! [Z_1568] : ( multiply(sk_c7,multiply(sk_c6,Z_1568)) = Z_1568 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_348168]) ).
tff(c_348360,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_348121,c_348348]) ).
tff(c_348364,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_348340,c_348360]) ).
tff(c_348100,plain,
multiply(sk_c4,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_273846,c_56]) ).
tff(c_348371,plain,
multiply(sk_c4,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_348364,c_348100]) ).
tff(c_349694,plain,
multiply(sk_c4,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_349607,c_348371]) ).
tff(c_348189,plain,
! [X_2,Z_1561] : ( multiply(inverse(X_2),multiply(X_2,Z_1561)) = Z_1561 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_348177]) ).
tff(c_349872,plain,
! [X_1591,Z_1592] : ( multiply(inverse(inverse(X_1591)),Z_1592) = multiply(X_1591,Z_1592) ),
inference(superposition,[status(thm),theory(equality)],[c_349552,c_348189]) ).
tff(c_349600,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_349552]) ).
tff(c_349882,plain,
! [X_1591] : ( multiply(X_1591,identity) = X_1591 ),
inference(superposition,[status(thm),theory(equality)],[c_349872,c_349600]) ).
tff(c_348085,plain,
multiply(sk_c9,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_348081,c_4]) ).
tff(c_348165,plain,
! [Z_1561] : ( multiply(sk_c9,multiply(sk_c4,Z_1561)) = multiply(identity,Z_1561) ),
inference(superposition,[status(thm),theory(equality)],[c_348085,c_348141]) ).
tff(c_348191,plain,
! [Z_1562] : ( multiply(sk_c9,multiply(sk_c4,Z_1562)) = Z_1562 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_348165]) ).
tff(c_348203,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_348100,c_348191]) ).
tff(c_348368,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_348364,c_348203]) ).
tff(c_348452,plain,
! [X_1569,Z_1570] : ( multiply(inverse(X_1569),multiply(X_1569,Z_1570)) = Z_1570 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_348177]) ).
tff(c_348485,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_348368,c_348452]) ).
tff(c_348528,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_348485]) ).
tff(c_348862,plain,
! [X_1574,Z_1575] : ( multiply(inverse(inverse(X_1574)),Z_1575) = multiply(X_1574,Z_1575) ),
inference(superposition,[status(thm),theory(equality)],[c_348452,c_348189]) ).
tff(c_348518,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_348452]) ).
tff(c_348872,plain,
! [X_1574] : ( multiply(X_1574,identity) = X_1574 ),
inference(superposition,[status(thm),theory(equality)],[c_348862,c_348518]) ).
tff(c_348261,plain,
! [X4_1565] :
( ( inverse(X4_1565) != sk_c9 )
| ( multiply(X4_1565,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_348268,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_348100,c_348261]) ).
tff(c_348280,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_348081,c_348268]) ).
tff(c_348281,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_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( 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_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_348389,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348364,c_348364,c_348364,c_348364,c_348364,c_348364,c_348364,c_348364,c_348281]) ).
tff(c_348390,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_348389]) ).
tff(c_349541,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_348528,c_348872,c_348528,c_348528,c_348390]) ).
tff(c_348544,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_348528,c_348072]) ).
tff(c_348625,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_348544,c_348189]) ).
tff(c_348637,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_348625]) ).
tff(c_348545,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_348528,c_348067]) ).
tff(c_348670,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_348637,c_348545]) ).
tff(c_349543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_349541,c_348670]) ).
tff(c_349544,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(X5_6,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_348389]) ).
tff(c_422756,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_349882,c_349607,c_349607,c_349607,c_349607,c_349882,c_349607,c_349607,c_349607,c_349882,c_349607,c_349607,c_349607,c_349544]) ).
tff(c_422758,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_422756]) ).
tff(c_348376,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_348364,c_273845]) ).
tff(c_348385,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_348376,c_4]) ).
tff(c_349637,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_349607,c_348385]) ).
tff(c_349611,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_349607,c_348376]) ).
tff(c_349638,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_349637,c_349611]) ).
tff(c_422760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422758,c_349638]) ).
tff(c_422761,plain,
! [X6_7,X1_9,X2_10] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_422756]) ).
tff(c_645787,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_422761]) ).
tff(c_645789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_645787,c_349638]) ).
tff(c_645790,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_422761]) ).
tff(c_645792,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_645790]) ).
tff(c_645794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_645792,c_349638]) ).
tff(c_649917,plain,
! [X1_2230] :
( ( inverse(X1_2230) != sk_c9 )
| ( multiply(X1_2230,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_645790]) ).
tff(c_650031,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_349694,c_649917]) ).
tff(c_650072,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_348081,c_650031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP250-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 21:54:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 125.64/109.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 125.85/109.24
% 125.85/109.24 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 126.05/109.31
% 126.05/109.31 Inference rules
% 126.05/109.31 ----------------------
% 126.05/109.31 #Ref : 0
% 126.05/109.31 #Sup : 152633
% 126.05/109.31 #Fact : 0
% 126.05/109.31 #Define : 0
% 126.05/109.31 #Split : 58
% 126.05/109.31 #Chain : 0
% 126.05/109.31 #Close : 0
% 126.05/109.31
% 126.05/109.31 Ordering : KBO
% 126.05/109.31
% 126.05/109.31 Simplification rules
% 126.05/109.31 ----------------------
% 126.05/109.31 #Subsume : 8
% 126.05/109.31 #Demod : 669256
% 126.05/109.31 #Tautology : 127494
% 126.05/109.31 #SimpNegUnit : 62
% 126.05/109.31 #BackRed : 694
% 126.05/109.31
% 126.05/109.31 #Partial instantiations: 0
% 126.05/109.31 #Strategies tried : 1
% 126.05/109.31
% 126.05/109.31 Timing (in seconds)
% 126.05/109.31 ----------------------
% 126.05/109.31 Preprocessing : 0.51
% 126.05/109.31 Parsing : 0.21
% 126.05/109.31 CNF conversion : 0.03
% 126.05/109.31 Main loop : 107.47
% 126.05/109.31 Inferencing : 9.95
% 126.05/109.31 Reduction : 87.20
% 126.05/109.31 Demodulation : 84.97
% 126.05/109.31 BG Simplification : 0.65
% 126.05/109.31 Subsumption : 6.96
% 126.05/109.32 Abstraction : 2.54
% 126.05/109.32 MUC search : 0.00
% 126.05/109.32 Cooper : 0.00
% 126.05/109.32 Total : 108.13
% 126.05/109.32 Index Insertion : 0.00
% 126.05/109.32 Index Deletion : 0.00
% 126.05/109.32 Index Matching : 0.00
% 126.05/109.32 BG Taut test : 0.00
%------------------------------------------------------------------------------