TSTP Solution File: GRP340-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP340-1 : 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 : n014.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 10:40:59 EDT 2023
% Result : Unsatisfiable 29.20s 18.22s
% Output : CNFRefutation 29.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 54
% Syntax : Number of formulae : 581 ( 454 unt; 14 typ; 0 def)
% Number of atoms : 811 ( 790 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 489 ( 245 ~; 244 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 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 : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 273 (; 273 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c11 > sk_c10 > 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_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $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_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c10,sk_c11) = sk_c9 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(sk_c10,sk_c11) != sk_c9 )
| ( inverse(X3) != sk_c11 )
| ( multiply(X3,sk_c10) != sk_c11 )
| ( inverse(X4) != sk_c10 )
| ( multiply(X4,sk_c9) != sk_c10 )
| ( multiply(X1,sk_c11) != sk_c10 )
| ( inverse(X1) != sk_c11 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X5,X6) != sk_c11 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c10) != sk_c11 )
| ( inverse(X7) != X8 )
| ( inverse(X8) != X6 )
| ( multiply(X7,X6) != X8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c10,sk_c11) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c10,sk_c11) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c10,sk_c11) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
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_52931,plain,
! [X_529,Y_530,Z_531] : ( multiply(multiply(X_529,Y_530),Z_531) = multiply(X_529,multiply(Y_530,Z_531)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52979,plain,
! [X_2,Z_531] : ( multiply(inverse(X_2),multiply(X_2,Z_531)) = multiply(identity,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52931]) ).
tff(c_77765,plain,
! [X_734,Z_735] : ( multiply(inverse(X_734),multiply(X_734,Z_735)) = Z_735 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52979]) ).
tff(c_52993,plain,
! [X_2,Z_531] : ( multiply(inverse(X_2),multiply(X_2,Z_531)) = Z_531 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52979]) ).
tff(c_78135,plain,
! [X_738,Z_739] : ( multiply(inverse(inverse(X_738)),Z_739) = multiply(X_738,Z_739) ),
inference(superposition,[status(thm),theory(equality)],[c_77765,c_52993]) ).
tff(c_77822,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_77765]) ).
tff(c_78142,plain,
! [X_738] : ( multiply(X_738,identity) = X_738 ),
inference(superposition,[status(thm),theory(equality)],[c_78135,c_77822]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_157,plain,
multiply(sk_c1,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_137,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_141,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).
tff(c_23478,plain,
! [X_228,Y_229,Z_230] : ( multiply(multiply(X_228,Y_229),Z_230) = multiply(X_228,multiply(Y_229,Z_230)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23529,plain,
! [Z_230] : ( multiply(sk_c11,multiply(sk_c1,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_23478]) ).
tff(c_23552,plain,
! [Z_231] : ( multiply(sk_c11,multiply(sk_c1,Z_231)) = Z_231 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23529]) ).
tff(c_23564,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_23552]) ).
tff(c_209,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_239,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_209]) ).
tff(c_297,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_249,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239]) ).
tff(c_2981,plain,
! [X_72,Z_73] : ( multiply(inverse(inverse(X_72)),Z_73) = multiply(X_72,Z_73) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_351,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_297]) ).
tff(c_2988,plain,
! [X_72] : ( multiply(X_72,identity) = X_72 ),
inference(superposition,[status(thm),theory(equality)],[c_2981,c_351]) ).
tff(c_102,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_171,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_125,plain,
inverse(sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_129,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_236,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_209]) ).
tff(c_274,plain,
! [Z_20] : ( multiply(sk_c10,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).
tff(c_286,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_171,c_274]) ).
tff(c_233,plain,
! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_209]) ).
tff(c_251,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_233]) ).
tff(c_263,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_251]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_163,plain,
multiply(sk_c10,sk_c11) = sk_c9,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_2547,plain,
! [Z_64] : ( multiply(sk_c10,multiply(sk_c11,Z_64)) = multiply(sk_c9,Z_64) ),
inference(superposition,[status(thm),theory(equality)],[c_163,c_209]) ).
tff(c_2562,plain,
multiply(sk_c9,sk_c11) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_263,c_2547]) ).
tff(c_2572,plain,
multiply(sk_c9,sk_c11) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_2562]) ).
tff(c_2576,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_2572,c_249]) ).
tff(c_2582,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2576]) ).
tff(c_2588,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2582,c_2582,c_263]) ).
tff(c_2596,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2588]) ).
tff(c_2606,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_2596,c_2596,c_286]) ).
tff(c_2612,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2606]) ).
tff(c_2663,plain,
! [X_65,Z_66] : ( multiply(inverse(inverse(X_65)),Z_66) = multiply(X_65,Z_66) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_297]) ).
tff(c_2670,plain,
! [X_65] : ( multiply(X_65,identity) = X_65 ),
inference(superposition,[status(thm),theory(equality)],[c_2663,c_351]) ).
tff(c_315,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_286,c_297]) ).
tff(c_333,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_163,c_297]) ).
tff(c_636,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_315,c_333]) ).
tff(c_321,plain,
multiply(inverse(sk_c11),sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_263,c_297]) ).
tff(c_647,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_636,c_636,c_321]) ).
tff(c_655,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_647]) ).
tff(c_345,plain,
multiply(inverse(sk_c10),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_129,c_297]) ).
tff(c_696,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_655,c_345]) ).
tff(c_703,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_696]) ).
tff(c_701,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_655,c_125]) ).
tff(c_763,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_703,c_701]) ).
tff(c_803,plain,
! [X_31,Z_32] : ( multiply(inverse(inverse(X_31)),Z_32) = multiply(X_31,Z_32) ),
inference(superposition,[status(thm),theory(equality)],[c_297,c_249]) ).
tff(c_813,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_803,c_351]) ).
tff(c_694,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_655,c_636]) ).
tff(c_457,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_315,c_333]) ).
tff(c_474,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_457,c_137]) ).
tff(c_472,plain,
multiply(sk_c1,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_457,c_157]) ).
tff(c_108,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(sk_c10,sk_c11) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_363,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163,c_108]) ).
tff(c_364,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_363]) ).
tff(c_493,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c10) != sk_c10 )
| ( inverse(X3_8) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_457,c_457,c_364]) ).
tff(c_519,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_472,c_493]) ).
tff(c_531,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_474,c_519]) ).
tff(c_532,plain,
! [X5_6,X4_13,X1_10,X7_9,X2_11] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_363]) ).
tff(c_625,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_532]) ).
tff(c_736,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_694,c_694,c_655,c_625]) ).
tff(c_768,plain,
! [X7_9] :
( ( inverse(multiply(X7_9,identity)) != inverse(identity) )
| ( multiply(X7_9,inverse(identity)) != inverse(X7_9) )
| ( multiply(inverse(identity),identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_763,c_736]) ).
tff(c_781,plain,
! [X7_9] :
( ( inverse(multiply(X7_9,identity)) != identity )
| ( multiply(X7_9,identity) != inverse(X7_9) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_763,c_2,c_4,c_763,c_763,c_768]) ).
tff(c_2530,plain,
! [X7_63] :
( ( inverse(X7_63) != identity )
| ( inverse(X7_63) != X7_63 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_813,c_813,c_781]) ).
tff(c_2538,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_763,c_2530]) ).
tff(c_2545,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_763,c_2538]) ).
tff(c_2546,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_532]) ).
tff(c_2621,plain,
! [X2_11,X1_10,X4_13] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( multiply(X4_13,sk_c9) != identity )
| ( inverse(X4_13) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2596,c_2596,c_2596,c_2582,c_2582,c_2596,c_2596,c_2546]) ).
tff(c_2622,plain,
! [X4_13] :
( ( multiply(X4_13,sk_c9) != identity )
| ( inverse(X4_13) != identity ) ),
inference(splitLeft,[status(thm)],[c_2621]) ).
tff(c_2934,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2670,c_2612,c_2622]) ).
tff(c_354,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_297]) ).
tff(c_2605,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2596,c_345]) ).
tff(c_2611,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_354,c_2605]) ).
tff(c_2610,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2596,c_125]) ).
tff(c_2627,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2611,c_2610]) ).
tff(c_2936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2934,c_2627]) ).
tff(c_2937,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_2621]) ).
tff(c_23359,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2988,c_2612,c_2988,c_2937]) ).
tff(c_23361,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23359]) ).
tff(c_2942,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2611,c_2610]) ).
tff(c_23363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23361,c_2942]) ).
tff(c_23365,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_23359]) ).
tff(c_23367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23365,c_2942]) ).
tff(c_23369,plain,
multiply(sk_c2,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_88,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_23454,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_23369,c_88]) ).
tff(c_90,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_23395,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_23369,c_90]) ).
tff(c_23399,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23395,c_4]) ).
tff(c_23514,plain,
! [Z_230] : ( multiply(sk_c11,multiply(sk_c3,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_23399,c_23478]) ).
tff(c_23979,plain,
! [Z_243] : ( multiply(sk_c11,multiply(sk_c3,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23514]) ).
tff(c_23994,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_23454,c_23979]) ).
tff(c_23809,plain,
! [Z_240] : ( multiply(sk_c1,multiply(sk_c10,Z_240)) = multiply(sk_c11,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_157,c_23478]) ).
tff(c_23836,plain,
multiply(sk_c11,sk_c11) = multiply(sk_c1,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_163,c_23809]) ).
tff(c_23844,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23564,c_23836]) ).
tff(c_23548,plain,
! [Z_230] : ( multiply(sk_c11,multiply(sk_c1,Z_230)) = Z_230 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23529]) ).
tff(c_23848,plain,
multiply(sk_c11,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_23844,c_23548]) ).
tff(c_23998,plain,
sk_c9 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_23994,c_23848]) ).
tff(c_92,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_23446,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_23369,c_92]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_23410,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_23369,c_94]) ).
tff(c_23414,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23410,c_4]) ).
tff(c_23511,plain,
! [Z_230] : ( multiply(sk_c10,multiply(sk_c4,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_23414,c_23478]) ).
tff(c_23588,plain,
! [Z_233] : ( multiply(sk_c10,multiply(sk_c4,Z_233)) = Z_233 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23511]) ).
tff(c_23600,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_23446,c_23588]) ).
tff(c_23824,plain,
multiply(sk_c11,sk_c9) = multiply(sk_c1,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_23600,c_23809]) ).
tff(c_23843,plain,
multiply(sk_c11,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_157,c_23824]) ).
tff(c_24052,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_23998,c_23843]) ).
tff(c_24060,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23564,c_24052]) ).
tff(c_24054,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23998,c_23600]) ).
tff(c_24261,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24060,c_24054]) ).
tff(c_23535,plain,
! [X_2,Z_230] : ( multiply(inverse(X_2),multiply(X_2,Z_230)) = multiply(identity,Z_230) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23478]) ).
tff(c_23550,plain,
! [X_2,Z_230] : ( multiply(inverse(X_2),multiply(X_2,Z_230)) = Z_230 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23535]) ).
tff(c_24265,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24261,c_23550]) ).
tff(c_24271,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24265]) ).
tff(c_24283,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24271,c_125]) ).
tff(c_24318,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24283,c_4]) ).
tff(c_24543,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_24318,c_23550]) ).
tff(c_24555,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24543]) ).
tff(c_24277,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24271,c_24060]) ).
tff(c_24056,plain,
multiply(sk_c2,sk_c11) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_23998,c_23369]) ).
tff(c_24363,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24277,c_24271,c_24056]) ).
tff(c_24559,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24555,c_24363]) ).
tff(c_24564,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24559]) ).
tff(c_24566,plain,
multiply(sk_c10,sk_c11) != sk_c9,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_24669,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_24566,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_24619,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24566,c_18]) ).
tff(c_24623,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24619,c_4]) ).
tff(c_24684,plain,
! [X_252,Y_253,Z_254] : ( multiply(multiply(X_252,Y_253),Z_254) = multiply(X_252,multiply(Y_253,Z_254)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24717,plain,
! [Z_254] : ( multiply(sk_c8,multiply(sk_c5,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_24623,c_24684]) ).
tff(c_24804,plain,
! [Z_257] : ( multiply(sk_c8,multiply(sk_c5,Z_257)) = Z_257 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24717]) ).
tff(c_24816,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24669,c_24804]) ).
tff(c_24741,plain,
! [X_2,Z_254] : ( multiply(inverse(X_2),multiply(X_2,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24684]) ).
tff(c_24827,plain,
! [X_258,Z_259] : ( multiply(inverse(X_258),multiply(X_258,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24741]) ).
tff(c_24845,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_24816,c_24827]) ).
tff(c_24936,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24845]) ).
tff(c_24735,plain,
! [Z_254] : ( multiply(sk_c11,multiply(sk_c1,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_24684]) ).
tff(c_24758,plain,
! [Z_255] : ( multiply(sk_c11,multiply(sk_c1,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24735]) ).
tff(c_24770,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_157,c_24758]) ).
tff(c_24948,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_24936,c_24936,c_24770]) ).
tff(c_24959,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24948]) ).
tff(c_104,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_24582,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_24738,plain,
! [Z_254] : ( multiply(sk_c10,multiply(sk_c2,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_24684]) ).
tff(c_24781,plain,
! [Z_256] : ( multiply(sk_c10,multiply(sk_c2,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24738]) ).
tff(c_24793,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_24582,c_24781]) ).
tff(c_24964,plain,
multiply(identity,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_24959,c_24959,c_24793]) ).
tff(c_24972,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24964]) ).
tff(c_24955,plain,
multiply(sk_c10,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_24936,c_24566]) ).
tff(c_25354,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24972,c_2,c_24959,c_24955]) ).
tff(c_25356,plain,
multiply(sk_c2,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_96,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_25432,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_25356,c_96]) ).
tff(c_98,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_25405,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25356,c_98]) ).
tff(c_25409,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25405,c_4]) ).
tff(c_25463,plain,
! [X_264,Y_265,Z_266] : ( multiply(multiply(X_264,Y_265),Z_266) = multiply(X_264,multiply(Y_265,Z_266)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25493,plain,
! [Z_266] : ( multiply(sk_c8,multiply(sk_c5,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_25409,c_25463]) ).
tff(c_25570,plain,
! [Z_269] : ( multiply(sk_c8,multiply(sk_c5,Z_269)) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25493]) ).
tff(c_25582,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25432,c_25570]) ).
tff(c_25517,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25463]) ).
tff(c_25665,plain,
! [X_273,Z_274] : ( multiply(inverse(X_273),multiply(X_273,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25517]) ).
tff(c_25695,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_25582,c_25665]) ).
tff(c_25785,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25695]) ).
tff(c_25438,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25356,c_88]) ).
tff(c_25369,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_25356,c_90]) ).
tff(c_25373,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25369,c_4]) ).
tff(c_25499,plain,
! [Z_266] : ( multiply(sk_c11,multiply(sk_c3,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_25373,c_25463]) ).
tff(c_25626,plain,
! [Z_271] : ( multiply(sk_c11,multiply(sk_c3,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25499]) ).
tff(c_25638,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_25438,c_25626]) ).
tff(c_25686,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25638,c_25665]) ).
tff(c_25784,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25686]) ).
tff(c_25808,plain,
multiply(identity,sk_c11) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_25784,c_24566]) ).
tff(c_25813,plain,
sk_c9 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25808]) ).
tff(c_25832,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25785,c_25813]) ).
tff(c_25384,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25356,c_94]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_25443,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24566,c_12]) ).
tff(c_25719,plain,
multiply(inverse(sk_c4),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25443,c_25665]) ).
tff(c_25787,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25384,c_25719]) ).
tff(c_25938,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25784,c_2,c_25784,c_25787]) ).
tff(c_25939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25832,c_25938]) ).
tff(c_25941,plain,
multiply(sk_c1,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_26059,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_25941,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_26004,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_25941,c_58]) ).
tff(c_26008,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26004,c_4]) ).
tff(c_26064,plain,
! [X_277,Y_278,Z_279] : ( multiply(multiply(X_277,Y_278),Z_279) = multiply(X_277,multiply(Y_278,Z_279)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26097,plain,
! [Z_279] : ( multiply(sk_c8,multiply(sk_c5,Z_279)) = multiply(identity,Z_279) ),
inference(superposition,[status(thm),theory(equality)],[c_26008,c_26064]) ).
tff(c_26774,plain,
! [Z_293] : ( multiply(sk_c8,multiply(sk_c5,Z_293)) = Z_293 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26097]) ).
tff(c_26786,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_26059,c_26774]) ).
tff(c_26121,plain,
! [X_2,Z_279] : ( multiply(inverse(X_2),multiply(X_2,Z_279)) = multiply(identity,Z_279) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26064]) ).
tff(c_27122,plain,
! [X_302,Z_303] : ( multiply(inverse(X_302),multiply(X_302,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26121]) ).
tff(c_27173,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_26786,c_27122]) ).
tff(c_27260,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27173]) ).
tff(c_27298,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27260,c_141]) ).
tff(c_26136,plain,
! [X_2,Z_279] : ( multiply(inverse(X_2),multiply(X_2,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26121]) ).
tff(c_27633,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_27298,c_26136]) ).
tff(c_27645,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27633]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_26051,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_25941,c_48]) ).
tff(c_25940,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_25945,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25940,c_4]) ).
tff(c_26112,plain,
! [Z_279] : ( multiply(sk_c11,multiply(sk_c3,Z_279)) = multiply(identity,Z_279) ),
inference(superposition,[status(thm),theory(equality)],[c_25945,c_26064]) ).
tff(c_26857,plain,
! [Z_296] : ( multiply(sk_c11,multiply(sk_c3,Z_296)) = Z_296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26112]) ).
tff(c_26872,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_26051,c_26857]) ).
tff(c_27158,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_26872,c_27122]) ).
tff(c_27259,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27158]) ).
tff(c_27284,plain,
multiply(sk_c1,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_27259,c_25941]) ).
tff(c_27662,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27645,c_27260,c_27284]) ).
tff(c_27664,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_27690,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_27664,c_44]) ).
tff(c_27694,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27690,c_4]) ).
tff(c_46,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_27728,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27664,c_46]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_27734,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_27664,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_27677,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_27664,c_38]) ).
tff(c_27681,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27677,c_4]) ).
tff(c_27788,plain,
! [X_307,Y_308,Z_309] : ( multiply(multiply(X_307,Y_308),Z_309) = multiply(X_307,multiply(Y_308,Z_309)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27827,plain,
! [Z_309] : ( multiply(sk_c8,multiply(sk_c5,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_27681,c_27788]) ).
tff(c_29789,plain,
! [Z_343] : ( multiply(sk_c8,multiply(sk_c5,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27827]) ).
tff(c_29813,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27734,c_29789]) ).
tff(c_27815,plain,
! [Z_309] : ( multiply(sk_c7,multiply(sk_c8,Z_309)) = multiply(sk_c6,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_27728,c_27788]) ).
tff(c_29858,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_29813,c_27815]) ).
tff(c_29867,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27728,c_29858]) ).
tff(c_27824,plain,
! [Z_309] : ( multiply(sk_c8,multiply(sk_c6,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_27694,c_27788]) ).
tff(c_27846,plain,
! [Z_309] : ( multiply(sk_c8,multiply(sk_c6,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27824]) ).
tff(c_29884,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_29867,c_27846]) ).
tff(c_29890,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27694,c_29884]) ).
tff(c_27663,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_27668,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27663,c_4]) ).
tff(c_27875,plain,
! [Z_311] : ( multiply(sk_c8,multiply(sk_c6,Z_311)) = Z_311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27824]) ).
tff(c_27887,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27668,c_27875]) ).
tff(c_29893,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29890,c_29813]) ).
tff(c_29907,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27887,c_29893]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_27756,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_27664,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_27702,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_27664,c_30]) ).
tff(c_27706,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27702,c_4]) ).
tff(c_27821,plain,
! [Z_309] : ( multiply(sk_c11,multiply(sk_c3,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_27706,c_27788]) ).
tff(c_28631,plain,
! [Z_322] : ( multiply(sk_c11,multiply(sk_c3,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27821]) ).
tff(c_28643,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_27756,c_28631]) ).
tff(c_40,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_27743,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_27664,c_40]) ).
tff(c_29470,plain,
! [Z_338] : ( multiply(sk_c5,multiply(sk_c8,Z_338)) = multiply(sk_c11,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_27734,c_27788]) ).
tff(c_29488,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_27743,c_29470]) ).
tff(c_29498,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_28643,c_29488]) ).
tff(c_29807,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_29498,c_29789]) ).
tff(c_31112,plain,
multiply(sk_c7,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29890,c_29890,c_29907,c_29807]) ).
tff(c_29926,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29907,c_27677]) ).
tff(c_29494,plain,
multiply(sk_c5,identity) = multiply(sk_c11,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_27681,c_29470]) ).
tff(c_29491,plain,
multiply(sk_c5,identity) = multiply(sk_c11,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_27694,c_29470]) ).
tff(c_29537,plain,
multiply(sk_c11,sk_c6) = multiply(sk_c11,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_29494,c_29491]) ).
tff(c_29894,plain,
multiply(identity,sk_c6) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_29890,c_29890,c_29537]) ).
tff(c_29908,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_29894]) ).
tff(c_27830,plain,
! [Z_309] : ( multiply(sk_c6,multiply(sk_c7,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_27668,c_27788]) ).
tff(c_29441,plain,
! [Z_337] : ( multiply(sk_c6,multiply(sk_c7,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27830]) ).
tff(c_29456,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27728,c_29441]) ).
tff(c_29817,plain,
! [Z_344] : ( multiply(sk_c7,multiply(sk_c8,Z_344)) = multiply(sk_c6,Z_344) ),
inference(superposition,[status(thm),theory(equality)],[c_27728,c_27788]) ).
tff(c_29847,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_27694,c_29817]) ).
tff(c_29854,plain,
multiply(sk_c7,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29456,c_29847]) ).
tff(c_27848,plain,
! [Z_309] : ( multiply(sk_c6,multiply(sk_c7,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27830]) ).
tff(c_29873,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29854,c_27848]) ).
tff(c_31125,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29908,c_29907,c_29873]) ).
tff(c_27836,plain,
! [X_2,Z_309] : ( multiply(inverse(X_2),multiply(X_2,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27788]) ).
tff(c_27850,plain,
! [X_2,Z_309] : ( multiply(inverse(X_2),multiply(X_2,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27836]) ).
tff(c_31129,plain,
multiply(inverse(sk_c5),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31125,c_27850]) ).
tff(c_31135,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31112,c_29926,c_31129]) ).
tff(c_31143,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31135,c_29907]) ).
tff(c_29902,plain,
multiply(sk_c8,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29890,c_27743]) ).
tff(c_31254,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31143,c_29902]) ).
tff(c_31015,plain,
! [X_365,Z_366] : ( multiply(inverse(X_365),multiply(X_365,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27836]) ).
tff(c_31469,plain,
! [X_369,Z_370] : ( multiply(inverse(inverse(X_369)),Z_370) = multiply(X_369,Z_370) ),
inference(superposition,[status(thm),theory(equality)],[c_31015,c_27850]) ).
tff(c_31063,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31015]) ).
tff(c_31476,plain,
! [X_369] : ( multiply(X_369,identity) = X_369 ),
inference(superposition,[status(thm),theory(equality)],[c_31469,c_31063]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_27751,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_27664,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_27715,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_27664,c_34]) ).
tff(c_27719,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27715,c_4]) ).
tff(c_27818,plain,
! [Z_309] : ( multiply(sk_c10,multiply(sk_c4,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_27719,c_27788]) ).
tff(c_27852,plain,
! [Z_310] : ( multiply(sk_c10,multiply(sk_c4,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27818]) ).
tff(c_27864,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_27751,c_27852]) ).
tff(c_31039,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27864,c_31015]) ).
tff(c_31070,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31039]) ).
tff(c_29988,plain,
! [X_345,Z_346] : ( multiply(inverse(X_345),multiply(X_345,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27836]) ).
tff(c_30340,plain,
! [X_349,Z_350] : ( multiply(inverse(inverse(X_349)),Z_350) = multiply(X_349,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_29988,c_27850]) ).
tff(c_30051,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29988]) ).
tff(c_30347,plain,
! [X_349] : ( multiply(X_349,identity) = X_349 ),
inference(superposition,[status(thm),theory(equality)],[c_30340,c_30051]) ).
tff(c_29905,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29890,c_27702]) ).
tff(c_29966,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29905,c_4]) ).
tff(c_30089,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_29966,c_27850]) ).
tff(c_30101,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30089]) ).
tff(c_30105,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30101,c_29905]) ).
tff(c_30027,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27864,c_29988]) ).
tff(c_30061,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30027]) ).
tff(c_28006,plain,
! [X_316,Z_317] : ( multiply(inverse(X_316),multiply(X_316,Z_317)) = Z_317 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27836]) ).
tff(c_28054,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_27864,c_28006]) ).
tff(c_28125,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28054]) ).
tff(c_27900,plain,
! [Z_312] : ( multiply(sk_c11,multiply(sk_c3,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27821]) ).
tff(c_27912,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_27756,c_27900]) ).
tff(c_28042,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_27912,c_28006]) ).
tff(c_28124,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28042]) ).
tff(c_27959,plain,
! [Z_314] : ( multiply(sk_c8,multiply(sk_c5,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27827]) ).
tff(c_27971,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27734,c_27959]) ).
tff(c_28030,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_27971,c_28006]) ).
tff(c_28121,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28030]) ).
tff(c_27899,plain,
multiply(sk_c10,sk_c11) != sk_c9,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_28139,plain,
multiply(sk_c10,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_28121,c_27899]) ).
tff(c_28621,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28125,c_2,c_28124,c_28139]) ).
tff(c_28623,plain,
multiply(sk_c10,sk_c11) = sk_c9,
inference(splitRight,[status(thm)],[c_108]) ).
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_28627,plain,
! [Z_5] : ( multiply(sk_c10,multiply(sk_c11,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_28623,c_6]) ).
tff(c_30135,plain,
! [Z_347] : ( multiply(sk_c10,Z_347) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30061,c_2,c_29890,c_28627]) ).
tff(c_30156,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_30135,c_129]) ).
tff(c_30186,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30156,c_125]) ).
tff(c_30246,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30105,c_30186]) ).
tff(c_28802,plain,
! [Z_328] : ( multiply(sk_c8,multiply(sk_c5,Z_328)) = Z_328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27827]) ).
tff(c_28826,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27734,c_28802]) ).
tff(c_28841,plain,
! [Z_329] : ( multiply(sk_c7,multiply(sk_c8,Z_329)) = multiply(sk_c6,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_27728,c_27788]) ).
tff(c_28856,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_28826,c_28841]) ).
tff(c_28881,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27728,c_28856]) ).
tff(c_28904,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_28881,c_27846]) ).
tff(c_28910,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27694,c_28904]) ).
tff(c_28926,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28910,c_27706]) ).
tff(c_29245,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_28926,c_27850]) ).
tff(c_29257,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29245]) ).
tff(c_28927,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28910,c_27702]) ).
tff(c_29280,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29257,c_28927]) ).
tff(c_28914,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28910,c_28826]) ).
tff(c_28930,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27887,c_28914]) ).
tff(c_28684,plain,
! [Z_324] : ( multiply(sk_c5,multiply(sk_c8,Z_324)) = multiply(sk_c11,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_27734,c_27788]) ).
tff(c_28702,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_27743,c_28684]) ).
tff(c_28712,plain,
multiply(sk_c5,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_28643,c_28702]) ).
tff(c_28820,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_28712,c_28802]) ).
tff(c_29151,plain,
multiply(sk_c7,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28930,c_28910,c_28910,c_28820]) ).
tff(c_28708,plain,
multiply(sk_c5,identity) = multiply(sk_c11,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_27681,c_28684]) ).
tff(c_28705,plain,
multiply(sk_c5,identity) = multiply(sk_c11,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_27694,c_28684]) ).
tff(c_28751,plain,
multiply(sk_c11,sk_c6) = multiply(sk_c11,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_28708,c_28705]) ).
tff(c_28915,plain,
multiply(identity,sk_c6) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_28910,c_28910,c_28751]) ).
tff(c_28931,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_28915]) ).
tff(c_28947,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28930,c_27690]) ).
tff(c_29089,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28931,c_28947]) ).
tff(c_28655,plain,
! [Z_323] : ( multiply(sk_c6,multiply(sk_c7,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27830]) ).
tff(c_28670,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27728,c_28655]) ).
tff(c_28874,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_27694,c_28841]) ).
tff(c_28882,plain,
multiply(sk_c7,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_28670,c_28874]) ).
tff(c_28886,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28882,c_27848]) ).
tff(c_29164,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28931,c_28930,c_28886]) ).
tff(c_29168,plain,
multiply(inverse(sk_c5),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29164,c_27850]) ).
tff(c_29174,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29151,c_29089,c_29168]) ).
tff(c_29181,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29174,c_28930]) ).
tff(c_28622,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_28760,plain,
! [X7_326,X5_327] :
( ( inverse(multiply(X7_326,inverse(X5_327))) != inverse(X5_327) )
| ( multiply(X7_326,inverse(X5_327)) != inverse(X7_326) )
| ( multiply(inverse(X5_327),sk_c10) != sk_c11 )
| ( multiply(X5_327,inverse(X5_327)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_28622]) ).
tff(c_28771,plain,
! [X7_326] :
( ( inverse(multiply(X7_326,sk_c8)) != inverse(sk_c5) )
| ( multiply(X7_326,inverse(sk_c5)) != inverse(X7_326) )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 ) ),
inference(superposition,[status(thm),theory(equality)],[c_27677,c_28760]) ).
tff(c_28789,plain,
! [X7_326] :
( ( inverse(multiply(X7_326,sk_c8)) != sk_c8 )
| ( multiply(X7_326,sk_c8) != inverse(X7_326) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27734,c_27677,c_27743,c_27677,c_27677,c_27677,c_28771]) ).
tff(c_29416,plain,
! [X7_336] :
( ( inverse(multiply(X7_336,identity)) != identity )
| ( multiply(X7_336,identity) != inverse(X7_336) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29181,c_29181,c_29181,c_28789]) ).
tff(c_29424,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29416]) ).
tff(c_29432,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29280,c_29280,c_4,c_29280,c_29424]) ).
tff(c_29433,plain,
! [X2_11,X1_10,X4_13,X3_8] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_28622]) ).
tff(c_29698,plain,
! [X3_342] :
( ( multiply(X3_342,sk_c10) != sk_c11 )
| ( inverse(X3_342) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_29433]) ).
tff(c_29717,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_28643,c_29698]) ).
tff(c_29555,plain,
! [Z_340] : ( multiply(sk_c8,multiply(sk_c5,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27827]) ).
tff(c_29573,plain,
multiply(sk_c8,sk_c11) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_29498,c_29555]) ).
tff(c_29579,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_27734,c_29555]) ).
tff(c_29647,plain,
sk_c8 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_29573,c_29579]) ).
tff(c_29662,plain,
multiply(sk_c11,sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_29647,c_29573]) ).
tff(c_29463,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29456,c_27846]) ).
tff(c_29666,plain,
multiply(sk_c11,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29647,c_29647,c_29463]) ).
tff(c_29763,plain,
sk_c6 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_29662,c_29666]) ).
tff(c_29675,plain,
inverse(sk_c6) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_29647,c_27690]) ).
tff(c_29773,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_29763,c_29675]) ).
tff(c_29779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29717,c_29773]) ).
tff(c_29780,plain,
! [X4_13,X1_10,X2_11] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_29433]) ).
tff(c_29931,plain,
! [X4_13,X1_10,X2_11] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29890,c_29890,c_29780]) ).
tff(c_29932,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_29931]) ).
tff(c_30996,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30347,c_30246,c_30061,c_30246,c_29932]) ).
tff(c_30998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30996,c_30105]) ).
tff(c_30999,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_29931]) ).
tff(c_52784,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X4_13 )
| ( inverse(X4_13) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31254,c_31476,c_31254,c_31070,c_31476,c_31254,c_30999]) ).
tff(c_52786,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_52784]) ).
tff(c_29904,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29890,c_27706]) ).
tff(c_31302,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_29904,c_2]) ).
tff(c_31312,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31302,c_29905]) ).
tff(c_52788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52786,c_31312]) ).
tff(c_52791,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_52784]) ).
tff(c_52793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52791,c_31312]) ).
tff(c_52795,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_52899,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_52795,c_72]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_52831,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52795,c_74]) ).
tff(c_52835,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52831,c_4]) ).
tff(c_52967,plain,
! [Z_531] : ( multiply(sk_c10,multiply(sk_c4,Z_531)) = multiply(identity,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_52835,c_52931]) ).
tff(c_53018,plain,
! [Z_533] : ( multiply(sk_c10,multiply(sk_c4,Z_533)) = Z_533 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52967]) ).
tff(c_53030,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_52899,c_53018]) ).
tff(c_77798,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53030,c_77765]) ).
tff(c_77830,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_77798]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_52845,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_52795,c_84]) ).
tff(c_52849,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52845,c_4]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_52908,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_52795,c_86]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_52873,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52795,c_76]) ).
tff(c_52794,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_52799,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52794,c_4]) ).
tff(c_52976,plain,
! [Z_531] : ( multiply(sk_c8,multiply(sk_c5,Z_531)) = multiply(identity,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_52799,c_52931]) ).
tff(c_53829,plain,
! [Z_544] : ( multiply(sk_c8,multiply(sk_c5,Z_544)) = Z_544 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52976]) ).
tff(c_53844,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52873,c_53829]) ).
tff(c_52946,plain,
! [Z_531] : ( multiply(sk_c7,multiply(sk_c8,Z_531)) = multiply(sk_c6,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_52908,c_52931]) ).
tff(c_53851,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11),
inference(superposition,[status(thm),theory(equality)],[c_53844,c_52946]) ).
tff(c_53857,plain,
multiply(sk_c6,sk_c11) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52908,c_53851]) ).
tff(c_52964,plain,
! [Z_531] : ( multiply(sk_c8,multiply(sk_c6,Z_531)) = multiply(identity,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_52849,c_52931]) ).
tff(c_52988,plain,
! [Z_531] : ( multiply(sk_c8,multiply(sk_c6,Z_531)) = Z_531 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52964]) ).
tff(c_76790,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53857,c_52988]) ).
tff(c_76796,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52849,c_76790]) ).
tff(c_53085,plain,
! [X_536,Z_537] : ( multiply(inverse(X_536),multiply(X_536,Z_537)) = Z_537 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52979]) ).
tff(c_53139,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52873,c_53085]) ).
tff(c_53191,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_52794,c_53139]) ).
tff(c_53282,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53191,c_52993]) ).
tff(c_53288,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53282]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_52887,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_52795,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_52859,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52795,c_70]) ).
tff(c_52863,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52859,c_4]) ).
tff(c_52961,plain,
! [Z_531] : ( multiply(sk_c11,multiply(sk_c3,Z_531)) = multiply(identity,Z_531) ),
inference(superposition,[status(thm),theory(equality)],[c_52863,c_52931]) ).
tff(c_52995,plain,
! [Z_532] : ( multiply(sk_c11,multiply(sk_c3,Z_532)) = Z_532 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52961]) ).
tff(c_53007,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_52887,c_52995]) ).
tff(c_53118,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53007,c_53085]) ).
tff(c_53187,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53118]) ).
tff(c_53112,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_53030,c_53085]) ).
tff(c_53186,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53112]) ).
tff(c_53034,plain,
multiply(sk_c10,sk_c11) != sk_c9,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_53198,plain,
multiply(sk_c10,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53186,c_53034]) ).
tff(c_53752,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53288,c_2,c_53187,c_53198]) ).
tff(c_53754,plain,
multiply(sk_c10,sk_c11) = sk_c9,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_53758,plain,
! [Z_5] : ( multiply(sk_c10,multiply(sk_c11,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_53754,c_6]) ).
tff(c_77920,plain,
! [Z_5] : ( multiply(sk_c10,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77830,c_2,c_76796,c_53758]) ).
tff(c_77834,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_77830,c_53030]) ).
tff(c_77921,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_77920,c_77834]) ).
tff(c_76888,plain,
! [X_718,Z_719] : ( multiply(inverse(X_718),multiply(X_718,Z_719)) = Z_719 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52979]) ).
tff(c_77301,plain,
! [X_723,Z_724] : ( multiply(inverse(inverse(X_723)),Z_724) = multiply(X_723,Z_724) ),
inference(superposition,[status(thm),theory(equality)],[c_76888,c_52993]) ).
tff(c_76945,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_76888]) ).
tff(c_77308,plain,
! [X_723] : ( multiply(X_723,identity) = X_723 ),
inference(superposition,[status(thm),theory(equality)],[c_77301,c_76945]) ).
tff(c_76807,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_76796,c_52859]) ).
tff(c_76833,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_76807,c_4]) ).
tff(c_76850,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_76833,c_2]) ).
tff(c_76803,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_76796,c_52887]) ).
tff(c_77017,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_76850,c_76803]) ).
tff(c_53863,plain,
multiply(sk_c8,sk_c6) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_53857,c_52988]) ).
tff(c_53869,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_52849,c_53863]) ).
tff(c_53879,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53869,c_52863]) ).
tff(c_54054,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_53879,c_2]) ).
tff(c_53880,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53869,c_52859]) ).
tff(c_54130,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54054,c_53880]) ).
tff(c_53874,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53869,c_53869,c_53007]) ).
tff(c_54002,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_53874,c_2]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_52819,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_52795,c_82]) ).
tff(c_52823,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52819,c_4]) ).
tff(c_53791,plain,
! [Z_543] : ( multiply(sk_c8,multiply(sk_c6,Z_543)) = Z_543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52964]) ).
tff(c_53806,plain,
multiply(sk_c8,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_52823,c_53791]) ).
tff(c_53872,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_53869,c_53844]) ).
tff(c_53883,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53806,c_53872]) ).
tff(c_80,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_52878,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_52795,c_80]) ).
tff(c_53877,plain,
multiply(sk_c8,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53869,c_52878]) ).
tff(c_53987,plain,
multiply(sk_c7,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53883,c_53877]) ).
tff(c_54011,plain,
multiply(sk_c7,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54002,c_53987]) ).
tff(c_53889,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53883,c_53806]) ).
tff(c_54374,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_54011,c_53889]) ).
tff(c_54062,plain,
! [X_548,Z_549] : ( multiply(inverse(X_548),multiply(X_548,Z_549)) = Z_549 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52979]) ).
tff(c_54471,plain,
! [X_553,Z_554] : ( multiply(inverse(inverse(X_553)),Z_554) = multiply(X_553,Z_554) ),
inference(superposition,[status(thm),theory(equality)],[c_54062,c_52993]) ).
tff(c_54116,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_54062]) ).
tff(c_54478,plain,
! [X_553] : ( multiply(X_553,identity) = X_553 ),
inference(superposition,[status(thm),theory(equality)],[c_54471,c_54116]) ).
tff(c_53894,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53883,c_52845]) ).
tff(c_53753,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_53859,plain,
! [X7_9,X5_6] :
( ( inverse(multiply(X7_9,inverse(X5_6))) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( multiply(inverse(X5_6),sk_c10) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_53753]) ).
tff(c_53951,plain,
! [X7_546,X5_547] :
( ( inverse(multiply(X7_546,inverse(X5_547))) != inverse(X5_547) )
| ( multiply(X7_546,inverse(X5_547)) != inverse(X7_546) )
| ( multiply(inverse(X5_547),sk_c10) != identity )
| ( multiply(X5_547,inverse(X5_547)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53869,c_53869,c_53859]) ).
tff(c_53957,plain,
! [X7_546] :
( ( inverse(multiply(X7_546,sk_c7)) != inverse(sk_c6) )
| ( multiply(X7_546,inverse(sk_c6)) != inverse(X7_546) )
| ( multiply(inverse(sk_c6),sk_c10) != identity )
| ( multiply(sk_c6,inverse(sk_c6)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_53894,c_53951]) ).
tff(c_53979,plain,
! [X7_546] :
( ( inverse(multiply(X7_546,sk_c7)) != sk_c7 )
| ( multiply(X7_546,sk_c7) != inverse(X7_546) )
| ( multiply(sk_c7,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52823,c_53894,c_53894,c_53894,c_53894,c_53957]) ).
tff(c_76764,plain,
! [X7_717] :
( ( inverse(X7_717) != identity )
| ( inverse(X7_717) != X7_717 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54374,c_54002,c_54478,c_54374,c_54478,c_54374,c_54374,c_53979]) ).
tff(c_76776,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_54130,c_76764]) ).
tff(c_76785,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54130,c_76776]) ).
tff(c_76786,plain,
! [X2_11,X1_10,X4_13,X3_8] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_53753]) ).
tff(c_76815,plain,
! [X2_11,X1_10,X4_13,X3_8] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( multiply(X3_8,sk_c10) != identity )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76796,c_76796,c_76796,c_76796,c_76786]) ).
tff(c_76816,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c10) != identity )
| ( inverse(X3_8) != identity ) ),
inference(splitLeft,[status(thm)],[c_76815]) ).
tff(c_77693,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_77308,c_77017,c_76816]) ).
tff(c_76859,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_76850,c_76807]) ).
tff(c_77695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77693,c_76859]) ).
tff(c_77696,plain,
! [X4_13,X1_10,X2_11] :
( ( multiply(X4_13,sk_c9) != sk_c10 )
| ( inverse(X4_13) != sk_c10 )
| ( inverse(X1_10) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_76815]) ).
tff(c_169991,plain,
! [X4_13,X1_10,X2_11] :
( ( identity != X4_13 )
| ( inverse(X4_13) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78142,c_77921,c_77830,c_77921,c_78142,c_77921,c_77921,c_78142,c_77921,c_77830,c_77696]) ).
tff(c_169993,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_169991]) ).
tff(c_77740,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_76807,c_4]) ).
tff(c_77871,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_77740,c_52993]) ).
tff(c_77883,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_77871]) ).
tff(c_77887,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_77883,c_76807]) ).
tff(c_169995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169993,c_77887]) ).
tff(c_169996,plain,
! [X1_10,X4_13] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X4_13 )
| ( inverse(X4_13) != identity ) ),
inference(splitRight,[status(thm)],[c_169991]) ).
tff(c_169998,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_169996]) ).
tff(c_170000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169998,c_77887]) ).
tff(c_170003,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_169996]) ).
tff(c_170005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170003,c_77887]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP340-1 : 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:21:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 29.20/18.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.20/18.30
% 29.20/18.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 29.20/18.38
% 29.20/18.38 Inference rules
% 29.20/18.38 ----------------------
% 29.20/18.38 #Ref : 0
% 29.20/18.38 #Sup : 40857
% 29.20/18.38 #Fact : 0
% 29.20/18.38 #Define : 0
% 29.20/18.38 #Split : 33
% 29.20/18.38 #Chain : 0
% 29.20/18.38 #Close : 0
% 29.20/18.38
% 29.20/18.38 Ordering : KBO
% 29.20/18.38
% 29.20/18.38 Simplification rules
% 29.20/18.38 ----------------------
% 29.20/18.38 #Subsume : 4
% 29.20/18.38 #Demod : 176354
% 29.20/18.38 #Tautology : 33800
% 29.20/18.38 #SimpNegUnit : 76
% 29.20/18.38 #BackRed : 776
% 29.20/18.38
% 29.20/18.38 #Partial instantiations: 0
% 29.20/18.38 #Strategies tried : 1
% 29.20/18.38
% 29.20/18.38 Timing (in seconds)
% 29.20/18.38 ----------------------
% 29.20/18.39 Preprocessing : 0.56
% 29.20/18.39 Parsing : 0.20
% 29.20/18.39 CNF conversion : 0.03
% 29.20/18.39 Main loop : 16.63
% 29.20/18.39 Inferencing : 3.64
% 29.20/18.39 Reduction : 10.96
% 29.20/18.39 Demodulation : 10.39
% 29.20/18.39 BG Simplification : 0.27
% 29.20/18.39 Subsumption : 1.26
% 29.20/18.39 Abstraction : 0.98
% 29.20/18.39 MUC search : 0.00
% 29.20/18.39 Cooper : 0.00
% 29.20/18.39 Total : 17.37
% 29.20/18.39 Index Insertion : 0.00
% 29.20/18.39 Index Deletion : 0.00
% 29.20/18.39 Index Matching : 0.00
% 29.20/18.39 BG Taut test : 0.00
%------------------------------------------------------------------------------