TSTP Solution File: GRP380-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP380-1 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:41:08 EDT 2023
% Result : Unsatisfiable 22.63s 10.28s
% Output : CNFRefutation 23.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 47
% Syntax : Number of formulae : 397 ( 307 unt; 14 typ; 0 def)
% Number of atoms : 542 ( 525 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 309 ( 150 ~; 159 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Maximal term depth : 5 ( 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 : 233 (; 233 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_257,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( inverse(sk_c11) != sk_c10 )
| ( multiply(sk_c10,sk_c9) != sk_c11 )
| ( multiply(X3,X4) != sk_c10 )
| ( inverse(X3) != X4 )
| ( 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_116,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c10,sk_c9) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
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_65,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_138,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_142,plain,
multiply(sk_c10,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_138,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_157,plain,
multiply(sk_c1,sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_78,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_125,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_129,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125,c_4]) ).
tff(c_34338,plain,
! [X_237,Y_238,Z_239] : ( multiply(multiply(X_237,Y_238),Z_239) = multiply(X_237,multiply(Y_238,Z_239)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34392,plain,
! [Z_239] : ( multiply(sk_c2,multiply(sk_c1,Z_239)) = multiply(identity,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_34338]) ).
tff(c_34436,plain,
! [Z_241] : ( multiply(sk_c2,multiply(sk_c1,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34392]) ).
tff(c_34448,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_157,c_34436]) ).
tff(c_34395,plain,
! [X_2,Z_239] : ( multiply(inverse(X_2),multiply(X_2,Z_239)) = multiply(identity,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34338]) ).
tff(c_34574,plain,
! [X_247,Z_248] : ( multiply(inverse(X_247),multiply(X_247,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34395]) ).
tff(c_34619,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34448,c_34574]) ).
tff(c_34707,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34619]) ).
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_236,plain,
! [Z_18] : ( multiply(sk_c2,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_209]) ).
tff(c_264,plain,
! [Z_20] : ( multiply(sk_c2,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_236]) ).
tff(c_276,plain,
multiply(sk_c2,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_157,c_264]) ).
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_287,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_305,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_276,c_287]) ).
tff(c_345,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_305]) ).
tff(c_355,plain,
inverse(sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_345,c_138]) ).
tff(c_371,plain,
multiply(identity,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_355,c_4]) ).
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_378,plain,
multiply(inverse(identity),identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_371,c_249]) ).
tff(c_390,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_378]) ).
tff(c_108,plain,
! [X5_6,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(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( multiply(sk_c10,sk_c9) != sk_c11 )
| ( inverse(sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_360,plain,
! [X5_6,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),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(inverse(X3_8),sk_c9) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity )
| ( sk_c9 != sk_c11 )
| ( inverse(sk_c11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_345,c_2,c_345,c_345,c_345,c_345,c_345,c_345,c_345,c_108]) ).
tff(c_361,plain,
inverse(sk_c11) != identity,
inference(splitLeft,[status(thm)],[c_360]) ).
tff(c_362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_361,c_355]) ).
tff(c_364,plain,
inverse(sk_c11) = identity,
inference(splitRight,[status(thm)],[c_360]) ).
tff(c_402,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_364]) ).
tff(c_586,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_287]) ).
tff(c_338,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_287]) ).
tff(c_593,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_586,c_338]) ).
tff(c_624,plain,
! [X_25] : ( multiply(X_25,inverse(X_25)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_586]) ).
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_849,plain,
! [X_32,Y_33,Z_34] : ( multiply(inverse(multiply(X_32,Y_33)),multiply(X_32,multiply(Y_33,Z_34))) = Z_34 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_287]) ).
tff(c_928,plain,
! [X_32,X_2] : ( multiply(inverse(multiply(X_32,inverse(X_2))),multiply(X_32,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_849]) ).
tff(c_966,plain,
! [X_35,X_36] : ( multiply(inverse(multiply(X_35,inverse(X_36))),X_35) = X_36 ),
inference(demodulation,[status(thm),theory(equality)],[c_593,c_928]) ).
tff(c_620,plain,
! [X_25,Z_18] : ( multiply(X_25,multiply(inverse(X_25),Z_18)) = Z_18 ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_586]) ).
tff(c_986,plain,
! [X_35,X_36] : ( multiply(multiply(X_35,inverse(X_36)),X_36) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_966,c_620]) ).
tff(c_723,plain,
! [X_29] : ( multiply(X_29,inverse(X_29)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_586]) ).
tff(c_1130,plain,
! [X_39,Y_40] : ( multiply(X_39,multiply(Y_40,inverse(multiply(X_39,Y_40)))) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_723]) ).
tff(c_1155,plain,
! [Y_40,X_39] : ( multiply(Y_40,inverse(multiply(X_39,Y_40))) = multiply(inverse(X_39),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1130,c_249]) ).
tff(c_1596,plain,
! [Y_47,X_48] : ( multiply(Y_47,inverse(multiply(X_48,Y_47))) = inverse(X_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_593,c_1155]) ).
tff(c_1667,plain,
! [X_35,X_36] : ( inverse(multiply(X_35,inverse(X_36))) = multiply(X_36,inverse(X_35)) ),
inference(superposition,[status(thm),theory(equality)],[c_986,c_1596]) ).
tff(c_42,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_170,plain,
multiply(sk_c10,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_351,plain,
multiply(identity,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_345,c_170]) ).
tff(c_476,plain,
multiply(identity,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_351]) ).
tff(c_486,plain,
sk_c9 = identity,
inference(superposition,[status(thm),theory(equality)],[c_476,c_2]) ).
tff(c_363,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( sk_c9 != sk_c11 )
| ( multiply(inverse(X3_8),sk_c9) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != 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),identity) != sk_c11 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_360]) ).
tff(c_24146,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( multiply(X5_6,inverse(X7_9)) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_624,c_390,c_593,c_390,c_1667,c_593,c_486,c_593,c_390,c_390,c_624,c_593,c_486,c_486,c_390,c_363]) ).
tff(c_34091,plain,
! [X5_234,X7_235] :
( ( multiply(X5_234,inverse(X7_235)) != inverse(X5_234) )
| ( multiply(X7_235,inverse(X5_234)) != inverse(X7_235) )
| ( inverse(X5_234) != identity ) ),
inference(splitLeft,[status(thm)],[c_24146]) ).
tff(c_34161,plain,
! [X7_235] :
( ( inverse(identity) != inverse(X7_235) )
| ( multiply(X7_235,inverse(identity)) != inverse(X7_235) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_34091]) ).
tff(c_34191,plain,
! [X7_236] :
( ( inverse(X7_236) != identity )
| ( inverse(X7_236) != X7_236 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_593,c_402,c_402,c_34161]) ).
tff(c_34203,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_402,c_34191]) ).
tff(c_34212,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_34203]) ).
tff(c_34213,plain,
! [X3_8,X1_10,X2_11] :
( ( inverse(X3_8) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_24146]) ).
tff(c_34215,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_34213]) ).
tff(c_34217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34215,c_402]) ).
tff(c_34218,plain,
! [X1_10,X3_8] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_34213]) ).
tff(c_34219,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_34218]) ).
tff(c_34222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34219,c_402]) ).
tff(c_34224,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_34218]) ).
tff(c_34226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34224,c_402]) ).
tff(c_34228,plain,
multiply(sk_c10,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_34325,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34228,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_34272,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34228,c_34]) ).
tff(c_34276,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34272,c_4]) ).
tff(c_34371,plain,
! [Z_239] : ( multiply(sk_c10,multiply(sk_c4,Z_239)) = multiply(identity,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_34276,c_34338]) ).
tff(c_34459,plain,
! [Z_242] : ( multiply(sk_c10,multiply(sk_c4,Z_242)) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34371]) ).
tff(c_34471,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34325,c_34459]) ).
tff(c_34477,plain,
sk_c11 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34471,c_34228]) ).
tff(c_34722,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34707,c_34477]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_34241,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34228,c_38]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_34304,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_34228,c_36]) ).
tff(c_34646,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34304,c_34574]) ).
tff(c_34711,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34241,c_34646]) ).
tff(c_34410,plain,
! [X_2,Z_239] : ( multiply(inverse(X_2),multiply(X_2,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34395]) ).
tff(c_34866,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_34711,c_34410]) ).
tff(c_34872,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34866]) ).
tff(c_34874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34722,c_34872]) ).
tff(c_34876,plain,
multiply(sk_c1,sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_34984,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34876,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_34933,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34876,c_54]) ).
tff(c_34937,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34933,c_4]) ).
tff(c_34999,plain,
! [X_251,Y_252,Z_253] : ( multiply(multiply(X_251,Y_252),Z_253) = multiply(X_251,multiply(Y_252,Z_253)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35032,plain,
! [Z_253] : ( multiply(sk_c10,multiply(sk_c4,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_34937,c_34999]) ).
tff(c_35235,plain,
! [Z_258] : ( multiply(sk_c10,multiply(sk_c4,Z_258)) = Z_258 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35032]) ).
tff(c_35247,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34984,c_35235]) ).
tff(c_44,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_34894,plain,
multiply(sk_c10,sk_c9) = sk_c11,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_35251,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35247,c_34894]) ).
tff(c_35265,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35251,c_142]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_34973,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34876,c_48]) ).
tff(c_35261,plain,
multiply(sk_c3,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35251,c_34973]) ).
tff(c_34875,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_34880,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34875,c_4]) ).
tff(c_35047,plain,
! [Z_253] : ( multiply(sk_c11,multiply(sk_c3,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_34880,c_34999]) ).
tff(c_35068,plain,
! [Z_253] : ( multiply(sk_c11,multiply(sk_c3,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35047]) ).
tff(c_35399,plain,
! [Z_263] : ( multiply(sk_c10,multiply(sk_c3,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_35251,c_35068]) ).
tff(c_35411,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35261,c_35399]) ).
tff(c_35415,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35265,c_35411]) ).
tff(c_35432,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35415,c_34933]) ).
tff(c_35526,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35432,c_4]) ).
tff(c_35056,plain,
! [X_2,Z_253] : ( multiply(inverse(X_2),multiply(X_2,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34999]) ).
tff(c_35071,plain,
! [X_2,Z_253] : ( multiply(inverse(X_2),multiply(X_2,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35056]) ).
tff(c_35545,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_35526,c_35071]) ).
tff(c_35557,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35545]) ).
tff(c_35430,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35415,c_34984]) ).
tff(c_35656,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35557,c_35430]) ).
tff(c_94,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_34889,plain,
multiply(sk_c2,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_35044,plain,
! [Z_253] : ( multiply(sk_c2,multiply(sk_c9,Z_253)) = multiply(sk_c10,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_34889,c_34999]) ).
tff(c_35582,plain,
! [Z_253] : ( multiply(sk_c2,multiply(sk_c9,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35415,c_35044]) ).
tff(c_35657,plain,
! [Z_253] : ( multiply(sk_c2,multiply(identity,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_35656,c_35582]) ).
tff(c_35789,plain,
! [Z_269] : ( multiply(sk_c2,Z_269) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35657]) ).
tff(c_35804,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_35789,c_129]) ).
tff(c_35434,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35415,c_34876]) ).
tff(c_35817,plain,
multiply(identity,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35804,c_35434]) ).
tff(c_35821,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35817]) ).
tff(c_35266,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35251,c_138]) ).
tff(c_35423,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35415,c_35415,c_35266]) ).
tff(c_35820,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_35804,c_125]) ).
tff(c_35824,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35423,c_35820]) ).
tff(c_35831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35821,c_35824]) ).
tff(c_35833,plain,
multiply(sk_c10,sk_c9) != sk_c11,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_35906,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_35833,c_36]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_35859,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34876,c_58]) ).
tff(c_35863,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35859,c_4]) ).
tff(c_35944,plain,
! [X_270,Y_271,Z_272] : ( multiply(multiply(X_270,Y_271),Z_272) = multiply(X_270,multiply(Y_271,Z_272)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35977,plain,
! [Z_272] : ( multiply(sk_c8,multiply(sk_c5,Z_272)) = multiply(identity,Z_272) ),
inference(superposition,[status(thm),theory(equality)],[c_35863,c_35944]) ).
tff(c_36052,plain,
! [Z_275] : ( multiply(sk_c8,multiply(sk_c5,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35977]) ).
tff(c_36064,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35906,c_36052]) ).
tff(c_35998,plain,
! [X_2,Z_272] : ( multiply(inverse(X_2),multiply(X_2,Z_272)) = multiply(identity,Z_272) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35944]) ).
tff(c_36169,plain,
! [X_278,Z_279] : ( multiply(inverse(X_278),multiply(X_278,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35998]) ).
tff(c_36199,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36064,c_36169]) ).
tff(c_36249,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36199]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_35937,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35833,c_28]) ).
tff(c_35989,plain,
! [Z_272] : ( multiply(sk_c11,multiply(sk_c3,Z_272)) = multiply(identity,Z_272) ),
inference(superposition,[status(thm),theory(equality)],[c_34880,c_35944]) ).
tff(c_36077,plain,
! [Z_276] : ( multiply(sk_c11,multiply(sk_c3,Z_276)) = Z_276 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35989]) ).
tff(c_36092,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_35937,c_36077]) ).
tff(c_35992,plain,
! [Z_272] : ( multiply(sk_c10,multiply(sk_c11,Z_272)) = multiply(identity,Z_272) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_35944]) ).
tff(c_36011,plain,
! [Z_272] : ( multiply(sk_c10,multiply(sk_c11,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35992]) ).
tff(c_36099,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36092,c_36011]) ).
tff(c_36105,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_36099]) ).
tff(c_36115,plain,
multiply(identity,sk_c9) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_36105,c_35833]) ).
tff(c_36121,plain,
sk_c9 != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36115]) ).
tff(c_36258,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36249,c_36121]) ).
tff(c_35875,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35833,c_34]) ).
tff(c_36114,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36105,c_35875]) ).
tff(c_36151,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36114,c_4]) ).
tff(c_36013,plain,
! [X_2,Z_272] : ( multiply(inverse(X_2),multiply(X_2,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35998]) ).
tff(c_36397,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_36151,c_36013]) ).
tff(c_36409,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36397]) ).
tff(c_35928,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35833,c_32]) ).
tff(c_36111,plain,
multiply(sk_c4,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_36105,c_35928]) ).
tff(c_36488,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36409,c_36111]) ).
tff(c_36489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36258,c_36488]) ).
tff(c_36491,plain,
multiply(sk_c2,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_94]) ).
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_36590,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36491,c_88]) ).
tff(c_36607,plain,
! [X_283,Y_284,Z_285] : ( multiply(multiply(X_283,Y_284),Z_285) = multiply(X_283,multiply(Y_284,Z_285)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36652,plain,
! [Z_285] : ( multiply(sk_c11,multiply(sk_c3,Z_285)) = multiply(identity,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_34880,c_36607]) ).
tff(c_36983,plain,
! [Z_293] : ( multiply(sk_c11,multiply(sk_c3,Z_293)) = Z_293 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36652]) ).
tff(c_36998,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_36590,c_36983]) ).
tff(c_36655,plain,
! [Z_285] : ( multiply(sk_c10,multiply(sk_c11,Z_285)) = multiply(identity,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_36607]) ).
tff(c_36674,plain,
! [Z_285] : ( multiply(sk_c10,multiply(sk_c11,Z_285)) = Z_285 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36655]) ).
tff(c_37005,plain,
multiply(sk_c10,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36998,c_36674]) ).
tff(c_37011,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_37005]) ).
tff(c_37024,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37011,c_34876]) ).
tff(c_36658,plain,
! [Z_285] : ( multiply(sk_c2,multiply(sk_c1,Z_285)) = multiply(identity,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_36607]) ).
tff(c_36675,plain,
! [Z_285] : ( multiply(sk_c2,multiply(sk_c1,Z_285)) = Z_285 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36658]) ).
tff(c_36661,plain,
! [X_2,Z_285] : ( multiply(inverse(X_2),multiply(X_2,Z_285)) = multiply(identity,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36607]) ).
tff(c_37147,plain,
! [X_296,Z_297] : ( multiply(inverse(X_296),multiply(X_296,Z_297)) = Z_297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36661]) ).
tff(c_37394,plain,
! [Z_300] : ( multiply(inverse(sk_c2),Z_300) = multiply(sk_c1,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_36675,c_37147]) ).
tff(c_37414,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37394,c_4]) ).
tff(c_37432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37024,c_37414]) ).
tff(c_37434,plain,
inverse(sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_37514,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37434,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_37472,plain,
inverse(sk_c3) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37434,c_10]) ).
tff(c_37476,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37472,c_4]) ).
tff(c_37557,plain,
! [X_301,Y_302,Z_303] : ( multiply(multiply(X_301,Y_302),Z_303) = multiply(X_301,multiply(Y_302,Z_303)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37590,plain,
! [Z_303] : ( multiply(sk_c11,multiply(sk_c3,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_37476,c_37557]) ).
tff(c_37657,plain,
! [Z_306] : ( multiply(sk_c11,multiply(sk_c3,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37590]) ).
tff(c_37669,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37514,c_37657]) ).
tff(c_37605,plain,
! [X_2,Z_303] : ( multiply(inverse(X_2),multiply(X_2,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37557]) ).
tff(c_37696,plain,
! [X_308,Z_309] : ( multiply(inverse(X_308),multiply(X_308,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37605]) ).
tff(c_37717,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37669,c_37696]) ).
tff(c_37793,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37717]) ).
tff(c_37433,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_37812,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37793,c_37433]) ).
tff(c_37823,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37812,c_4]) ).
tff(c_37619,plain,
! [X_2,Z_303] : ( multiply(inverse(X_2),multiply(X_2,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37605]) ).
tff(c_37830,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_37823,c_37619]) ).
tff(c_37842,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37830]) ).
tff(c_37846,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37842,c_37812]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_37447,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37434,c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_37535,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37434,c_16]) ).
tff(c_37735,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37535,c_37696]) ).
tff(c_37796,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37447,c_37735]) ).
tff(c_37897,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37796,c_37619]) ).
tff(c_37903,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37897]) ).
tff(c_37811,plain,
inverse(sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37793,c_37434]) ).
tff(c_37906,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_37903,c_37811]) ).
tff(c_37914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37846,c_37906]) ).
tff(c_37916,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_68,plain,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_37996,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37916,c_68]) ).
tff(c_70,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_37924,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_37925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37916,c_37924]) ).
tff(c_37926,plain,
inverse(sk_c3) = sk_c11,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_37931,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37926,c_4]) ).
tff(c_38055,plain,
! [X_311,Y_312,Z_313] : ( multiply(multiply(X_311,Y_312),Z_313) = multiply(X_311,multiply(Y_312,Z_313)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38097,plain,
! [Z_313] : ( multiply(sk_c11,multiply(sk_c3,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_37931,c_38055]) ).
tff(c_38249,plain,
! [Z_318] : ( multiply(sk_c11,multiply(sk_c3,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38097]) ).
tff(c_38261,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_37996,c_38249]) ).
tff(c_38103,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38055]) ).
tff(c_38272,plain,
! [X_319,Z_320] : ( multiply(inverse(X_319),multiply(X_319,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38103]) ).
tff(c_38290,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_38261,c_38272]) ).
tff(c_38387,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38290]) ).
tff(c_37935,plain,
inverse(sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_72,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_38001,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_37916,c_72]) ).
tff(c_74,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_37956,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_37916,c_74]) ).
tff(c_37960,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37956,c_4]) ).
tff(c_38091,plain,
! [Z_313] : ( multiply(sk_c10,multiply(sk_c4,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_37960,c_38055]) ).
tff(c_38143,plain,
! [Z_315] : ( multiply(sk_c10,multiply(sk_c4,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38091]) ).
tff(c_38155,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_38001,c_38143]) ).
tff(c_38167,plain,
! [X5_6,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(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c10 )
| ( sk_c11 != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37935,c_38155,c_108]) ).
tff(c_38168,plain,
sk_c11 != sk_c10,
inference(splitLeft,[status(thm)],[c_38167]) ).
tff(c_38406,plain,
sk_c11 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38387,c_38168]) ).
tff(c_37915,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_76,plain,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_38018,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37916,c_76]) ).
tff(c_38332,plain,
multiply(inverse(sk_c5),sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38018,c_38272]) ).
tff(c_38394,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37915,c_38332]) ).
tff(c_38117,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38103]) ).
tff(c_38489,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_38394,c_38117]) ).
tff(c_38495,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38489]) ).
tff(c_38497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38406,c_38495]) ).
tff(c_38499,plain,
sk_c11 = sk_c10,
inference(splitRight,[status(thm)],[c_38167]) ).
tff(c_37939,plain,
multiply(sk_c10,sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37935,c_4]) ).
tff(c_38503,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38499,c_37939]) ).
tff(c_80,plain,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_38024,plain,
multiply(sk_c8,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_37916,c_80]) ).
tff(c_38500,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38499,c_38024]) ).
tff(c_38501,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38499,c_38018]) ).
tff(c_38642,plain,
multiply(inverse(sk_c5),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38501,c_38117]) ).
tff(c_38648,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37915,c_38642]) ).
tff(c_38747,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38500,c_38648]) ).
tff(c_84,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_37982,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37916,c_84]) ).
tff(c_82,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_37968,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_37916,c_82]) ).
tff(c_86,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_38013,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_37916,c_86]) ).
tff(c_38511,plain,
! [X_322,Z_323] : ( multiply(inverse(X_322),multiply(X_322,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38103]) ).
tff(c_38544,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38013,c_38511]) ).
tff(c_38582,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37968,c_38544]) ).
tff(c_38628,plain,
multiply(inverse(sk_c6),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38582,c_38117]) ).
tff(c_38637,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37982,c_38628]) ).
tff(c_38750,plain,
multiply(sk_c10,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38747,c_38747,c_38637]) ).
tff(c_38761,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38503,c_38750]) ).
tff(c_38748,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38747,c_38500]) ).
tff(c_38760,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38503,c_38748]) ).
tff(c_38757,plain,
inverse(sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_38747,c_37982]) ).
tff(c_38826,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38761,c_38760,c_38757]) ).
tff(c_39085,plain,
! [X_329,Z_330] : ( multiply(inverse(inverse(X_329)),Z_330) = multiply(X_329,Z_330) ),
inference(superposition,[status(thm),theory(equality)],[c_38511,c_38117]) ).
tff(c_38574,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38511]) ).
tff(c_39092,plain,
! [X_329] : ( multiply(X_329,identity) = X_329 ),
inference(superposition,[status(thm),theory(equality)],[c_39085,c_38574]) ).
tff(c_39123,plain,
! [X_329] : ( multiply(X_329,inverse(X_329)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39085]) ).
tff(c_38773,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38760,c_38499]) ).
tff(c_39278,plain,
! [X_334,Y_335,Z_336] : ( multiply(inverse(multiply(X_334,Y_335)),multiply(X_334,multiply(Y_335,Z_336))) = Z_336 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_38511]) ).
tff(c_39345,plain,
! [X_334,X_2] : ( multiply(inverse(multiply(X_334,inverse(X_2))),multiply(X_334,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39278]) ).
tff(c_39375,plain,
! [X_334,X_2] : ( multiply(inverse(multiply(X_334,inverse(X_2))),X_334) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_39092,c_39345]) ).
tff(c_39128,plain,
! [X_331] : ( multiply(X_331,identity) = X_331 ),
inference(superposition,[status(thm),theory(equality)],[c_39085,c_38574]) ).
tff(c_38514,plain,
! [X_322,Z_323] : ( multiply(inverse(inverse(X_322)),Z_323) = multiply(X_322,Z_323) ),
inference(superposition,[status(thm),theory(equality)],[c_38511,c_38117]) ).
tff(c_39135,plain,
! [X_322] : ( inverse(inverse(X_322)) = multiply(X_322,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_39128,c_38514]) ).
tff(c_39180,plain,
! [X_322] : ( inverse(inverse(X_322)) = X_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_39092,c_39135]) ).
tff(c_39478,plain,
! [X_339,X_340] : ( multiply(inverse(multiply(X_339,inverse(X_340))),X_339) = X_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_39092,c_39345]) ).
tff(c_39119,plain,
! [X_329,Z_313] : ( multiply(X_329,multiply(inverse(X_329),Z_313)) = Z_313 ),
inference(superposition,[status(thm),theory(equality)],[c_38117,c_39085]) ).
tff(c_39551,plain,
! [X_341,X_342] : ( multiply(multiply(X_341,inverse(X_342)),X_342) = X_341 ),
inference(superposition,[status(thm),theory(equality)],[c_39478,c_39119]) ).
tff(c_39642,plain,
! [X_343,X_344] : ( multiply(multiply(X_343,X_344),inverse(X_344)) = X_343 ),
inference(superposition,[status(thm),theory(equality)],[c_39180,c_39551]) ).
tff(c_39681,plain,
! [X_334,X_2] : ( inverse(multiply(X_334,inverse(X_2))) = multiply(X_2,inverse(X_334)) ),
inference(superposition,[status(thm),theory(equality)],[c_39375,c_39642]) ).
tff(c_38529,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_38155,c_38511]) ).
tff(c_38581,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38529]) ).
tff(c_38498,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( multiply(inverse(X3_8),sk_c9) != sk_c10 )
| ( multiply(X3_8,inverse(X3_8)) != 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_38167]) ).
tff(c_46705,plain,
! [X5_6,X3_8,X1_10,X7_9,X2_11] :
( ( inverse(X3_8) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( multiply(X5_6,inverse(X7_9)) != inverse(X5_6) )
| ( multiply(X7_9,inverse(X5_6)) != inverse(X7_9) )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39123,c_38773,c_39092,c_38773,c_38760,c_39681,c_39092,c_38760,c_38581,c_38760,c_39092,c_38773,c_38760,c_38773,c_39123,c_38760,c_39092,c_38760,c_38581,c_38498]) ).
tff(c_73384,plain,
! [X5_541,X7_542] :
( ( multiply(X5_541,inverse(X7_542)) != inverse(X5_541) )
| ( multiply(X7_542,inverse(X5_541)) != inverse(X7_542) )
| ( inverse(X5_541) != identity ) ),
inference(splitLeft,[status(thm)],[c_46705]) ).
tff(c_73452,plain,
! [X7_542] :
( ( inverse(identity) != inverse(X7_542) )
| ( multiply(X7_542,inverse(identity)) != inverse(X7_542) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_73384]) ).
tff(c_73481,plain,
! [X7_543] :
( ( inverse(X7_543) != identity )
| ( inverse(X7_543) != X7_543 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38826,c_39092,c_38826,c_38826,c_73452]) ).
tff(c_73493,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_38826,c_73481]) ).
tff(c_73502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38826,c_73493]) ).
tff(c_73503,plain,
! [X3_8,X1_10,X2_11] :
( ( inverse(X3_8) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_46705]) ).
tff(c_86481,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_73503]) ).
tff(c_86483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86481,c_38826]) ).
tff(c_86484,plain,
! [X1_10,X3_8] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X3_8) != identity ) ),
inference(splitRight,[status(thm)],[c_73503]) ).
tff(c_86485,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_86484]) ).
tff(c_86487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86485,c_38826]) ).
tff(c_86490,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_86484]) ).
tff(c_86492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86490,c_38826]) ).
tff(c_86494,plain,
inverse(sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_86574,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_86494,c_8]) ).
tff(c_86613,plain,
! [X_614,Y_615,Z_616] : ( multiply(multiply(X_614,Y_615),Z_616) = multiply(X_614,multiply(Y_615,Z_616)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_86649,plain,
! [Z_616] : ( multiply(sk_c11,multiply(sk_c3,Z_616)) = multiply(identity,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_37931,c_86613]) ).
tff(c_86696,plain,
! [Z_618] : ( multiply(sk_c11,multiply(sk_c3,Z_618)) = Z_618 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86649]) ).
tff(c_86708,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_86574,c_86696]) ).
tff(c_86658,plain,
! [X_2,Z_616] : ( multiply(inverse(X_2),multiply(X_2,Z_616)) = multiply(identity,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_86613]) ).
tff(c_86828,plain,
! [X_623,Z_624] : ( multiply(inverse(X_623),multiply(X_623,Z_624)) = Z_624 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86658]) ).
tff(c_86870,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_86708,c_86828]) ).
tff(c_86940,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86870]) ).
tff(c_86548,plain,
multiply(sk_c5,sk_c8) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_86494,c_16]) ).
tff(c_37920,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37915,c_4]) ).
tff(c_86655,plain,
! [Z_616] : ( multiply(sk_c8,multiply(sk_c5,Z_616)) = multiply(identity,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_37920,c_86613]) ).
tff(c_86719,plain,
! [Z_619] : ( multiply(sk_c8,multiply(sk_c5,Z_619)) = Z_619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86655]) ).
tff(c_86731,plain,
multiply(sk_c8,sk_c11) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_86548,c_86719]) ).
tff(c_86864,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_86731,c_86828]) ).
tff(c_86939,plain,
sk_c11 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_86864]) ).
tff(c_86968,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_86939,c_86494]) ).
tff(c_87032,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_86940,c_86968]) ).
tff(c_86969,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_86939,c_37926]) ).
tff(c_87049,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86969,c_4]) ).
tff(c_86671,plain,
! [X_2,Z_616] : ( multiply(inverse(X_2),multiply(X_2,Z_616)) = Z_616 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86658]) ).
tff(c_87122,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_87049,c_86671]) ).
tff(c_87134,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87122]) ).
tff(c_87138,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87134,c_86969]) ).
tff(c_87141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87032,c_87138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP380-1 : 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 : n005.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 22:03:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 22.63/10.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.63/10.33
% 22.63/10.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.03/10.39
% 23.03/10.39 Inference rules
% 23.03/10.39 ----------------------
% 23.03/10.39 #Ref : 0
% 23.03/10.39 #Sup : 20971
% 23.03/10.39 #Fact : 0
% 23.03/10.39 #Define : 0
% 23.03/10.39 #Split : 22
% 23.03/10.39 #Chain : 0
% 23.03/10.39 #Close : 0
% 23.03/10.39
% 23.03/10.39 Ordering : KBO
% 23.03/10.39
% 23.03/10.39 Simplification rules
% 23.03/10.39 ----------------------
% 23.03/10.39 #Subsume : 7
% 23.03/10.39 #Demod : 75994
% 23.03/10.39 #Tautology : 17025
% 23.03/10.39 #SimpNegUnit : 103
% 23.03/10.39 #BackRed : 328
% 23.03/10.39
% 23.03/10.39 #Partial instantiations: 0
% 23.03/10.39 #Strategies tried : 1
% 23.03/10.39
% 23.03/10.39 Timing (in seconds)
% 23.03/10.39 ----------------------
% 23.03/10.39 Preprocessing : 0.57
% 23.03/10.39 Parsing : 0.21
% 23.03/10.39 CNF conversion : 0.03
% 23.03/10.39 Main loop : 8.55
% 23.03/10.39 Inferencing : 2.11
% 23.03/10.39 Reduction : 5.29
% 23.03/10.39 Demodulation : 4.98
% 23.03/10.39 BG Simplification : 0.17
% 23.03/10.39 Subsumption : 0.70
% 23.03/10.39 Abstraction : 0.53
% 23.03/10.39 MUC search : 0.00
% 23.03/10.39 Cooper : 0.00
% 23.03/10.39 Total : 9.23
% 23.03/10.39 Index Insertion : 0.00
% 23.03/10.39 Index Deletion : 0.00
% 23.03/10.39 Index Matching : 0.00
% 23.03/10.39 BG Taut test : 0.00
%------------------------------------------------------------------------------