TSTP Solution File: GRP328-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP328-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.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 10:40:56 EDT 2023
% Result : Unsatisfiable 14.45s 4.72s
% Output : CNFRefutation 14.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 42
% Syntax : Number of formulae : 552 ( 457 unt; 11 typ; 0 def)
% Number of atoms : 726 ( 695 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 402 ( 217 ~; 185 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 247 (; 247 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( inverse(X3) != sk_c7 )
| ( multiply(sk_c8,X4) != sk_c7 )
| ( multiply(X5,sk_c8) != X4 )
| ( inverse(X5) != sk_c8 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c8,X1) != sk_c7 )
| ( multiply(X2,sk_c8) != X1 )
| ( inverse(X2) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
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_30097,plain,
! [X_411,Y_412,Z_413] : ( multiply(multiply(X_411,Y_412),Z_413) = multiply(X_411,multiply(Y_412,Z_413)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30130,plain,
! [X_2,Z_413] : ( multiply(inverse(X_2),multiply(X_2,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30097]) ).
tff(c_31761,plain,
! [X_445,Z_446] : ( multiply(inverse(X_445),multiply(X_445,Z_446)) = Z_446 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30130]) ).
tff(c_30141,plain,
! [X_2,Z_413] : ( multiply(inverse(X_2),multiply(X_2,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30130]) ).
tff(c_32018,plain,
! [X_449,Z_450] : ( multiply(inverse(inverse(X_449)),Z_450) = multiply(X_449,Z_450) ),
inference(superposition,[status(thm),theory(equality)],[c_31761,c_30141]) ).
tff(c_31806,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31761]) ).
tff(c_32025,plain,
! [X_449] : ( multiply(X_449,identity) = X_449 ),
inference(superposition,[status(thm),theory(equality)],[c_32018,c_31806]) ).
tff(c_21646,plain,
! [X_313,Y_314,Z_315] : ( multiply(multiply(X_313,Y_314),Z_315) = multiply(X_313,multiply(Y_314,Z_315)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21679,plain,
! [X_2,Z_315] : ( multiply(inverse(X_2),multiply(X_2,Z_315)) = multiply(identity,Z_315) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21646]) ).
tff(c_21690,plain,
! [X_2,Z_315] : ( multiply(inverse(X_2),multiply(X_2,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21679]) ).
tff(c_21957,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_21679]) ).
tff(c_22155,plain,
! [X_322,Z_323] : ( multiply(inverse(inverse(X_322)),Z_323) = multiply(X_322,Z_323) ),
inference(superposition,[status(thm),theory(equality)],[c_21690,c_21957]) ).
tff(c_22002,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21957]) ).
tff(c_22162,plain,
! [X_322] : ( multiply(X_322,identity) = X_322 ),
inference(superposition,[status(thm),theory(equality)],[c_22155,c_22002]) ).
tff(c_56,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_11837,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_12460,plain,
! [X_192,Y_193,Z_194] : ( multiply(multiply(X_192,Y_193),Z_194) = multiply(X_192,multiply(Y_193,Z_194)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12499,plain,
! [Z_194] : ( multiply(sk_c8,multiply(sk_c2,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_12460]) ).
tff(c_12542,plain,
! [Z_196] : ( multiply(sk_c8,multiply(sk_c2,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12499]) ).
tff(c_12554,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11837,c_12542]) ).
tff(c_40,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_111,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_11291,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_52,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_10446,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_10460,plain,
! [X_149,Y_150,Z_151] : ( multiply(multiply(X_149,Y_150),Z_151) = multiply(X_149,multiply(Y_150,Z_151)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10502,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c2,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_10460]) ).
tff(c_10545,plain,
! [Z_153] : ( multiply(sk_c8,multiply(sk_c2,Z_153)) = Z_153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10502]) ).
tff(c_10557,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10446,c_10545]) ).
tff(c_10561,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_10557]) ).
tff(c_30,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_9736,plain,
! [X_134,Y_135,Z_136] : ( multiply(multiply(X_134,Y_135),Z_136) = multiply(X_134,multiply(Y_135,Z_136)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9772,plain,
! [Z_136] : ( multiply(sk_c7,multiply(sk_c1,Z_136)) = multiply(identity,Z_136) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9736]) ).
tff(c_9788,plain,
! [Z_136] : ( multiply(sk_c7,multiply(sk_c1,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9772]) ).
tff(c_123,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_8704,plain,
! [X_115,Y_116,Z_117] : ( multiply(multiply(X_115,Y_116),Z_117) = multiply(X_115,multiply(Y_116,Z_117)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8746,plain,
! [Z_117] : ( multiply(sk_c8,multiply(sk_c2,Z_117)) = multiply(identity,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_8704]) ).
tff(c_8776,plain,
! [Z_119] : ( multiply(sk_c8,multiply(sk_c2,Z_119)) = Z_119 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8746]) ).
tff(c_8788,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_8776]) ).
tff(c_8792,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_8788]) ).
tff(c_153,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_186,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153]) ).
tff(c_196,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_495,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_186]) ).
tff(c_771,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_495]) ).
tff(c_546,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_495]) ).
tff(c_778,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_771,c_546]) ).
tff(c_16,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_117,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_132,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_180,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_153]) ).
tff(c_198,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_132,c_198]) ).
tff(c_214,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_210]) ).
tff(c_217,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_117]) ).
tff(c_528,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_217,c_495]) ).
tff(c_554,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_528]) ).
tff(c_218,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_111]) ).
tff(c_183,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_153]) ).
tff(c_478,plain,
! [Z_20] : ( multiply(sk_c8,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_490,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_478]) ).
tff(c_494,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_218,c_490]) ).
tff(c_570,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_494]) ).
tff(c_220,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_98]) ).
tff(c_612,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_570,c_220]) ).
tff(c_639,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_612,c_4]) ).
tff(c_685,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_639,c_196]) ).
tff(c_697,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_685]) ).
tff(c_702,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_697,c_612]) ).
tff(c_265,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_277,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_265]) ).
tff(c_281,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_218,c_277]) ).
tff(c_286,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_217]) ).
tff(c_393,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_286,c_196]) ).
tff(c_399,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_393]) ).
tff(c_68,plain,
! [X2_9,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_240,plain,
! [X2_9,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c6 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_217,c_214,c_214,c_214,c_214,c_214,c_214,c_68]) ).
tff(c_241,plain,
multiply(sk_c6,sk_c6) != sk_c8,
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_285,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_241]) ).
tff(c_445,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_399,c_285]) ).
tff(c_446,plain,
! [X3_7,X5_6,X2_9] :
( ( inverse(sk_c8) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c6 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_8637,plain,
! [X3_7,X5_6,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_778,c_570,c_554,c_2,c_554,c_554,c_778,c_570,c_554,c_2,c_554,c_554,c_778,c_570,c_554,c_570,c_702,c_570,c_554,c_446]) ).
tff(c_8639,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8637]) ).
tff(c_8641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8639,c_702]) ).
tff(c_8642,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_8637]) ).
tff(c_8644,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8642]) ).
tff(c_8646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8644,c_702]) ).
tff(c_8649,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8642]) ).
tff(c_8651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8649,c_702]) ).
tff(c_8653,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_18,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_8684,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_8653,c_18]) ).
tff(c_8796,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8792,c_8684]) ).
tff(c_8749,plain,
! [X_2,Z_117] : ( multiply(inverse(X_2),multiply(X_2,Z_117)) = multiply(identity,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8704]) ).
tff(c_8761,plain,
! [X_2,Z_117] : ( multiply(inverse(X_2),multiply(X_2,Z_117)) = Z_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8749]) ).
tff(c_9013,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_8796,c_8761]) ).
tff(c_9019,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9013]) ).
tff(c_20,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_8668,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_8653,c_20]) ).
tff(c_8672,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8668,c_4]) ).
tff(c_8797,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8792,c_8672]) ).
tff(c_9106,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9019,c_8797]) ).
tff(c_9116,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9106,c_102]) ).
tff(c_9187,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_9116,c_8761]) ).
tff(c_9199,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9187]) ).
tff(c_8800,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8792,c_8653]) ).
tff(c_9110,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9106,c_9106,c_8800]) ).
tff(c_9245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9199,c_9110]) ).
tff(c_9247,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_9728,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9247,c_52]) ).
tff(c_54,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_9279,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9247,c_54]) ).
tff(c_9246,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_9251,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9246,c_4]) ).
tff(c_9763,plain,
! [Z_136] : ( multiply(sk_c8,multiply(sk_c4,Z_136)) = multiply(identity,Z_136) ),
inference(superposition,[status(thm),theory(equality)],[c_9251,c_9736]) ).
tff(c_10175,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c4,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9763]) ).
tff(c_10190,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9279,c_10175]) ).
tff(c_10194,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9728,c_10190]) ).
tff(c_9821,plain,
! [Z_139] : ( multiply(sk_c8,multiply(sk_c4,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9763]) ).
tff(c_9833,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9279,c_9821]) ).
tff(c_9837,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9728,c_9833]) ).
tff(c_9840,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9837,c_9728]) ).
tff(c_9778,plain,
! [X_2,Z_136] : ( multiply(inverse(X_2),multiply(X_2,Z_136)) = multiply(identity,Z_136) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9736]) ).
tff(c_9932,plain,
! [X_141,Z_142] : ( multiply(inverse(X_141),multiply(X_141,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9778]) ).
tff(c_9953,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9840,c_9932]) ).
tff(c_9991,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9953]) ).
tff(c_9848,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9837,c_9246]) ).
tff(c_9843,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9837,c_9279]) ).
tff(c_50,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_9260,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9247,c_50]) ).
tff(c_9264,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9260,c_4]) ).
tff(c_9289,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_9307,plain,
! [X_124,Y_125,Z_126] : ( multiply(multiply(X_124,Y_125),Z_126) = multiply(X_124,multiply(Y_125,Z_126)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9346,plain,
! [Z_126] : ( multiply(sk_c7,multiply(sk_c1,Z_126)) = multiply(identity,Z_126) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9307]) ).
tff(c_9480,plain,
! [Z_131] : ( multiply(sk_c7,multiply(sk_c1,Z_131)) = Z_131 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9346]) ).
tff(c_9492,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9289,c_9480]) ).
tff(c_9496,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_9492]) ).
tff(c_9502,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9496,c_117]) ).
tff(c_9506,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9264,c_9502]) ).
tff(c_9513,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9506,c_9260]) ).
tff(c_9535,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9513,c_4]) ).
tff(c_9559,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_9535,c_2]) ).
tff(c_9573,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9559,c_89]) ).
tff(c_9703,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_9573,c_2]) ).
tff(c_9503,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9496,c_111]) ).
tff(c_9636,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9559,c_9506,c_9503]) ).
tff(c_9571,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_9559,c_9247]) ).
tff(c_9649,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9636,c_9571]) ).
tff(c_9713,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9703,c_9649]) ).
tff(c_9718,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9713]) ).
tff(c_9719,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_9806,plain,
! [X2_9,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_9719,c_9260,c_68]) ).
tff(c_9807,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_9806]) ).
tff(c_9871,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9837,c_9807]) ).
tff(c_9908,plain,
( ( inverse(sk_c4) != sk_c7 )
| ( sk_c7 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_9843,c_9871]) ).
tff(c_9915,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9848,c_9908]) ).
tff(c_9997,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9991,c_9915]) ).
tff(c_9842,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9837,c_9719]) ).
tff(c_9790,plain,
! [X_2,Z_136] : ( multiply(inverse(X_2),multiply(X_2,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9778]) ).
tff(c_10034,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9842,c_9790]) ).
tff(c_10040,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10034]) ).
tff(c_9844,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9837,c_9264]) ).
tff(c_10097,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10040,c_9844]) ).
tff(c_10098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9997,c_10097]) ).
tff(c_10099,plain,
! [X5_6,X2_9] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_9806]) ).
tff(c_10195,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10099]) ).
tff(c_10269,plain,
! [X2_147] :
( ( inverse(X2_147) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_147,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10194,c_10194,c_10194,c_10195]) ).
tff(c_10276,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9788,c_10269]) ).
tff(c_10293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_10276]) ).
tff(c_10294,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10099]) ).
tff(c_10368,plain,
! [X5_148] :
( ( inverse(X5_148) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_148,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10194,c_10194,c_10194,c_10294]) ).
tff(c_10375,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9788,c_10368]) ).
tff(c_10392,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_10375]) ).
tff(c_10394,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_8,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_10434,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10394,c_8]) ).
tff(c_10567,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10561,c_10434]) ).
tff(c_10505,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10460]) ).
tff(c_10517,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10505]) ).
tff(c_10748,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10567,c_10517]) ).
tff(c_10754,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10748]) ).
tff(c_10428,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_10499,plain,
! [Z_151] : ( multiply(sk_c7,multiply(sk_c1,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_10460]) ).
tff(c_10519,plain,
! [Z_152] : ( multiply(sk_c7,multiply(sk_c1,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10499]) ).
tff(c_10531,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10428,c_10519]) ).
tff(c_10535,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10531,c_10394]) ).
tff(c_10759,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10754,c_10535]) ).
tff(c_10563,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10561,c_10531]) ).
tff(c_10840,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10563,c_10517]) ).
tff(c_10846,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10840]) ).
tff(c_10848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10759,c_10846]) ).
tff(c_10849,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_14,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_10439,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10394,c_14]) ).
tff(c_10393,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_10398,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10393,c_4]) ).
tff(c_10862,plain,
! [X_157,Y_158,Z_159] : ( multiply(multiply(X_157,Y_158),Z_159) = multiply(X_157,multiply(Y_158,Z_159)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10892,plain,
! [Z_159] : ( multiply(sk_c8,multiply(sk_c4,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_10398,c_10862]) ).
tff(c_11001,plain,
! [Z_163] : ( multiply(sk_c8,multiply(sk_c4,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10892]) ).
tff(c_11013,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10439,c_11001]) ).
tff(c_11017,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10849,c_11013]) ).
tff(c_11027,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11017,c_10434]) ).
tff(c_10904,plain,
! [X_2,Z_159] : ( multiply(inverse(X_2),multiply(X_2,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10862]) ).
tff(c_10916,plain,
! [X_2,Z_159] : ( multiply(inverse(X_2),multiply(X_2,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10904]) ).
tff(c_11134,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11027,c_10916]) ).
tff(c_11140,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11134]) ).
tff(c_10,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_10410,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10394,c_10]) ).
tff(c_11030,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11017,c_10410]) ).
tff(c_11144,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11140,c_11030]) ).
tff(c_11035,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11017,c_85]) ).
tff(c_11085,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11035,c_4]) ).
tff(c_11198,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_11085,c_10916]) ).
tff(c_11204,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11144,c_11198]) ).
tff(c_10850,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_11024,plain,
multiply(sk_c2,sk_c7) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11017,c_10850]) ).
tff(c_11208,plain,
multiply(identity,sk_c7) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11204,c_11024]) ).
tff(c_11210,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11208]) ).
tff(c_11031,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11017,c_10398]) ).
tff(c_11229,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_11031,c_10916]) ).
tff(c_11235,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11144,c_11229]) ).
tff(c_11025,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11017,c_10849]) ).
tff(c_11181,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11025,c_10916]) ).
tff(c_11187,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11181]) ).
tff(c_10880,plain,
! [Z_159] : ( multiply(sk_c4,multiply(sk_c8,Z_159)) = multiply(sk_c5,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_10439,c_10862]) ).
tff(c_11245,plain,
! [Z_159] : ( multiply(sk_c7,Z_159) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11235,c_2,c_11187,c_11017,c_10880]) ).
tff(c_11033,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11017,c_111]) ).
tff(c_11287,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11245,c_11033]) ).
tff(c_11288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11210,c_11287]) ).
tff(c_11290,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_11301,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11291,c_11290]) ).
tff(c_11303,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_22,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_11312,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11303,c_22]) ).
tff(c_10414,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10410,c_4]) ).
tff(c_11329,plain,
! [X_168,Y_169,Z_170] : ( multiply(multiply(X_168,Y_169),Z_170) = multiply(X_168,multiply(Y_169,Z_170)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11353,plain,
! [Z_170] : ( multiply(sk_c6,multiply(sk_c8,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_10414,c_11329]) ).
tff(c_11410,plain,
! [Z_173] : ( multiply(sk_c6,multiply(sk_c8,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11353]) ).
tff(c_11425,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11312,c_11410]) ).
tff(c_11368,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11329]) ).
tff(c_11463,plain,
! [X_174,Z_175] : ( multiply(inverse(X_174),multiply(X_174,Z_175)) = Z_175 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11368]) ).
tff(c_11511,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_111,c_11463]) ).
tff(c_11536,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11425,c_10410,c_11511]) ).
tff(c_11434,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_11410]) ).
tff(c_11428,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_10398,c_11410]) ).
tff(c_11453,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_11434,c_11428]) ).
tff(c_11302,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_11454,plain,
multiply(sk_c2,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11453,c_11302]) ).
tff(c_11557,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11536,c_11454]) ).
tff(c_11380,plain,
! [X_2,Z_170] : ( multiply(inverse(X_2),multiply(X_2,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11368]) ).
tff(c_11561,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11557,c_11380]) ).
tff(c_11570,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_85,c_11561]) ).
tff(c_11289,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_11613,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11570,c_11289]) ).
tff(c_11714,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11613,c_11380]) ).
tff(c_11720,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11714]) ).
tff(c_11725,plain,
multiply(identity,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_11720,c_11434]) ).
tff(c_11726,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11725]) ).
tff(c_11619,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11570,c_85]) ).
tff(c_11641,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11619,c_4]) ).
tff(c_11765,plain,
multiply(sk_c7,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11726,c_11641]) ).
tff(c_11615,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11570,c_10410]) ).
tff(c_11631,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11615,c_4]) ).
tff(c_11431,plain,
multiply(sk_c6,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_111,c_11410]) ).
tff(c_11687,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11631,c_11431]) ).
tff(c_11617,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11570,c_111]) ).
tff(c_11778,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11765,c_11687,c_11617]) ).
tff(c_11616,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11570,c_10394]) ).
tff(c_11821,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11778,c_2,c_11778,c_11720,c_11616]) ).
tff(c_11823,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_12558,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12554,c_11823]) ).
tff(c_42,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_11863,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11823,c_42]) ).
tff(c_12205,plain,
! [X_184,Y_185,Z_186] : ( multiply(multiply(X_184,Y_185),Z_186) = multiply(X_184,multiply(Y_185,Z_186)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12244,plain,
! [Z_186] : ( multiply(sk_c8,multiply(sk_c2,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_12205]) ).
tff(c_12277,plain,
! [Z_188] : ( multiply(sk_c8,multiply(sk_c2,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12244]) ).
tff(c_12289,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11837,c_12277]) ).
tff(c_12293,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12289,c_11823]) ).
tff(c_11822,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_11827,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11822,c_4]) ).
tff(c_12238,plain,
! [Z_186] : ( multiply(sk_c6,multiply(sk_c8,Z_186)) = multiply(identity,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_11827,c_12205]) ).
tff(c_12337,plain,
! [Z_190] : ( multiply(sk_c6,multiply(sk_c8,Z_190)) = Z_190 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12238]) ).
tff(c_12361,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_12337]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_11842,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11823,c_46]) ).
tff(c_11846,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11842,c_4]) ).
tff(c_12358,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_11846,c_12337]) ).
tff(c_12404,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_12361,c_12358]) ).
tff(c_11869,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_11874,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_11895,plain,
! [X_178,Y_179,Z_180] : ( multiply(multiply(X_178,Y_179),Z_180) = multiply(X_178,multiply(Y_179,Z_180)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11934,plain,
! [Z_180] : ( multiply(sk_c7,multiply(sk_c1,Z_180)) = multiply(identity,Z_180) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_11895]) ).
tff(c_11954,plain,
! [Z_181] : ( multiply(sk_c7,multiply(sk_c1,Z_181)) = Z_181 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11934]) ).
tff(c_11966,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11874,c_11954]) ).
tff(c_11970,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11869,c_11966]) ).
tff(c_11974,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11970,c_11869]) ).
tff(c_11979,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11827,c_11974]) ).
tff(c_11984,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11979,c_11970]) ).
tff(c_12003,plain,
! [X2_9,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != identity )
| ( inverse(sk_c8) != identity )
| ( sk_c8 != identity )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c8 )
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11984,c_11979,c_11984,c_11984,c_11984,c_2,c_11984,c_11979,c_11979,c_11984,c_68]) ).
tff(c_12004,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_12003]) ).
tff(c_11986,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11979,c_11822]) ).
tff(c_12008,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11986,c_4]) ).
tff(c_12024,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_12008,c_2]) ).
tff(c_12032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12004,c_12024]) ).
tff(c_12034,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_12003]) ).
tff(c_11976,plain,
multiply(sk_c8,sk_c3) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11970,c_11823]) ).
tff(c_12174,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12034,c_11979,c_11976]) ).
tff(c_12039,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12034,c_89]) ).
tff(c_12125,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_12039,c_2]) ).
tff(c_12038,plain,
multiply(sk_c2,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12034,c_11837]) ).
tff(c_12182,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12125,c_12038]) ).
tff(c_12183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12174,c_12182]) ).
tff(c_12184,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_12413,plain,
multiply(sk_c2,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12404,c_12184]) ).
tff(c_12258,plain,
! [Z_186] : ( multiply(sk_c8,multiply(sk_c2,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12244]) ).
tff(c_12425,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12413,c_12258]) ).
tff(c_12431,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11863,c_12425]) ).
tff(c_12433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12293,c_12431]) ).
tff(c_12434,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12487,plain,
! [Z_194] : ( multiply(sk_c8,multiply(sk_c4,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_11846,c_12460]) ).
tff(c_12605,plain,
! [Z_198] : ( multiply(sk_c8,multiply(sk_c4,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12487]) ).
tff(c_12620,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12434,c_12605]) ).
tff(c_12624,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11863,c_12620]) ).
tff(c_12626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12558,c_12624]) ).
tff(c_12628,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_12657,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12628,c_52]) ).
tff(c_12687,plain,
! [X_199,Y_200,Z_201] : ( multiply(multiply(X_199,Y_200),Z_201) = multiply(X_199,multiply(Y_200,Z_201)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12729,plain,
! [X_2,Z_201] : ( multiply(inverse(X_2),multiply(X_2,Z_201)) = multiply(identity,Z_201) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12687]) ).
tff(c_12867,plain,
! [X_203,Z_204] : ( multiply(inverse(X_203),multiply(X_203,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12729]) ).
tff(c_12741,plain,
! [X_2,Z_201] : ( multiply(inverse(X_2),multiply(X_2,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12729]) ).
tff(c_13052,plain,
! [X_207,Z_208] : ( multiply(inverse(inverse(X_207)),Z_208) = multiply(X_207,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_12867,c_12741]) ).
tff(c_12897,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12867]) ).
tff(c_13063,plain,
! [X_207] : ( multiply(X_207,identity) = X_207 ),
inference(superposition,[status(thm),theory(equality)],[c_13052,c_12897]) ).
tff(c_12662,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_12667,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_12723,plain,
! [Z_201] : ( multiply(sk_c7,multiply(sk_c1,Z_201)) = multiply(identity,Z_201) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_12687]) ).
tff(c_12743,plain,
! [Z_202] : ( multiply(sk_c7,multiply(sk_c1,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12723]) ).
tff(c_12755,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12667,c_12743]) ).
tff(c_12759,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12662,c_12755]) ).
tff(c_12762,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12759,c_12662]) ).
tff(c_12768,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11827,c_12762]) ).
tff(c_12773,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12768,c_12759]) ).
tff(c_12792,plain,
! [X2_9,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != identity )
| ( inverse(sk_c8) != identity )
| ( sk_c8 != identity )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c8 )
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12773,c_12768,c_12773,c_12773,c_12773,c_2,c_12773,c_12768,c_12768,c_12773,c_68]) ).
tff(c_12793,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_12792]) ).
tff(c_12775,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12768,c_11822]) ).
tff(c_12797,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12775,c_4]) ).
tff(c_12816,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_12797,c_2]) ).
tff(c_12824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12793,c_12816]) ).
tff(c_12826,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_12792]) ).
tff(c_12837,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12826,c_12775]) ).
tff(c_12825,plain,
! [X3_7,X5_6,X2_9] :
( ( sk_c8 != identity )
| ( inverse(sk_c8) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != identity )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != identity ) ),
inference(splitRight,[status(thm)],[c_12792]) ).
tff(c_20576,plain,
! [X3_7,X5_6,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13063,c_12826,c_2,c_12826,c_12826,c_13063,c_12826,c_2,c_12826,c_12826,c_13063,c_12826,c_12837,c_12826,c_12826,c_12825]) ).
tff(c_20578,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_20576]) ).
tff(c_20580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20578,c_12837]) ).
tff(c_20581,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_20576]) ).
tff(c_20583,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_20581]) ).
tff(c_20585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20583,c_12837]) ).
tff(c_20588,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_20581]) ).
tff(c_20590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20588,c_12837]) ).
tff(c_20591,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_12627,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_12632,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12627,c_4]) ).
tff(c_20611,plain,
! [X_293,Y_294,Z_295] : ( multiply(multiply(X_293,Y_294),Z_295) = multiply(X_293,multiply(Y_294,Z_295)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20638,plain,
! [Z_295] : ( multiply(sk_c8,multiply(sk_c4,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_12632,c_20611]) ).
tff(c_20690,plain,
! [Z_298] : ( multiply(sk_c8,multiply(sk_c4,Z_298)) = Z_298 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20638]) ).
tff(c_20702,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20591,c_20690]) ).
tff(c_20706,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12657,c_20702]) ).
tff(c_48,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_12652,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12628,c_48]) ).
tff(c_20932,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20706,c_12652]) ).
tff(c_20650,plain,
! [X_2,Z_295] : ( multiply(inverse(X_2),multiply(X_2,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20611]) ).
tff(c_21020,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_20650]) ).
tff(c_21044,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20932,c_21020]) ).
tff(c_21088,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21044]) ).
tff(c_20938,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20706,c_11822]) ).
tff(c_21074,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_21020]) ).
tff(c_21094,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20938,c_21074]) ).
tff(c_21192,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21088,c_21094]) ).
tff(c_20955,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20938,c_4]) ).
tff(c_21120,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21088,c_20955]) ).
tff(c_20592,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_20928,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20706,c_20592]) ).
tff(c_21126,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21120,c_21120,c_20928]) ).
tff(c_21211,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21192,c_21126]) ).
tff(c_21212,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_21233,plain,
! [X_304,Y_305,Z_306] : ( multiply(multiply(X_304,Y_305),Z_306) = multiply(X_304,multiply(Y_305,Z_306)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21257,plain,
! [Z_306] : ( multiply(sk_c8,multiply(sk_c4,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_12632,c_21233]) ).
tff(c_21311,plain,
! [Z_309] : ( multiply(sk_c8,multiply(sk_c4,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21257]) ).
tff(c_21323,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21212,c_21311]) ).
tff(c_21327,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12657,c_21323]) ).
tff(c_21333,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21327,c_12652]) ).
tff(c_21269,plain,
! [X_2,Z_306] : ( multiply(inverse(X_2),multiply(X_2,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21233]) ).
tff(c_21281,plain,
! [X_2,Z_306] : ( multiply(inverse(X_2),multiply(X_2,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21269]) ).
tff(c_21458,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21333,c_21281]) ).
tff(c_21464,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21458]) ).
tff(c_21337,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21327,c_11827]) ).
tff(c_21569,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21464,c_21337]) ).
tff(c_21213,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_21330,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21327,c_21213]) ).
tff(c_21510,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21464,c_21330]) ).
tff(c_21573,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21569,c_21569,c_21510]) ).
tff(c_21582,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21573]) ).
tff(c_21584,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_32,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_21604,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21584,c_32]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_21616,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_21584,c_34]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_21596,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_21584,c_36]) ).
tff(c_21600,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21596,c_4]) ).
tff(c_21667,plain,
! [Z_315] : ( multiply(sk_c8,multiply(sk_c4,Z_315)) = multiply(identity,Z_315) ),
inference(superposition,[status(thm),theory(equality)],[c_21600,c_21646]) ).
tff(c_21692,plain,
! [Z_316] : ( multiply(sk_c8,multiply(sk_c4,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21667]) ).
tff(c_21704,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21616,c_21692]) ).
tff(c_21708,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21604,c_21704]) ).
tff(c_28,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_21626,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_21584,c_28]) ).
tff(c_21710,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21708,c_21626]) ).
tff(c_21981,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21710,c_21957]) ).
tff(c_22010,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21981]) ).
tff(c_21583,plain,
inverse(sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_21716,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21708,c_21583]) ).
tff(c_21924,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21716,c_4]) ).
tff(c_22042,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22010,c_21924]) ).
tff(c_22016,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22010,c_21716]) ).
tff(c_22044,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22042,c_22016]) ).
tff(c_21753,plain,
! [X_317,Z_318] : ( multiply(inverse(X_317),multiply(X_317,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21679]) ).
tff(c_21771,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21710,c_21753]) ).
tff(c_21793,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21771]) ).
tff(c_21742,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21716,c_4]) ).
tff(c_21822,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21793,c_21742]) ).
tff(c_21723,plain,
! [X2_9,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( inverse(sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21708,c_21708,c_21708,c_21708,c_21708,c_21708,c_21708,c_21708,c_21708,c_21708,c_68]) ).
tff(c_21724,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_21723]) ).
tff(c_21794,plain,
multiply(sk_c7,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21793,c_21724]) ).
tff(c_21896,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21822,c_2,c_21822,c_21794]) ).
tff(c_21897,plain,
! [X3_7,X5_6,X2_9] :
( ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_21723]) ).
tff(c_29622,plain,
! [X3_7,X5_6,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22162,c_22042,c_22042,c_2,c_22042,c_22042,c_22162,c_22042,c_22042,c_2,c_22042,c_22042,c_22162,c_22042,c_22042,c_22042,c_22044,c_22042,c_22010,c_22042,c_2,c_22042,c_22010,c_21897]) ).
tff(c_29624,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_29622]) ).
tff(c_29626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29624,c_22044]) ).
tff(c_29627,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_29622]) ).
tff(c_29629,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_29627]) ).
tff(c_29631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29629,c_22044]) ).
tff(c_30018,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_29627]) ).
tff(c_30020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30018,c_22044]) ).
tff(c_30022,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_30075,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30022,c_62]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_30048,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_30022,c_64]) ).
tff(c_30021,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_30026,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30021,c_4]) ).
tff(c_30127,plain,
! [Z_413] : ( multiply(sk_c8,multiply(sk_c4,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_30026,c_30097]) ).
tff(c_30418,plain,
! [Z_419] : ( multiply(sk_c8,multiply(sk_c4,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30127]) ).
tff(c_30433,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30048,c_30418]) ).
tff(c_30437,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30075,c_30433]) ).
tff(c_60,plain,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_30034,plain,
inverse(sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30022,c_60]) ).
tff(c_30038,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30034,c_4]) ).
tff(c_30445,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30437,c_30038]) ).
tff(c_30446,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30437,c_30034]) ).
tff(c_58,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_30070,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_30022,c_58]) ).
tff(c_30443,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30437,c_30070]) ).
tff(c_31846,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30443,c_30141]) ).
tff(c_31852,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30445,c_30446,c_31846]) ).
tff(c_31855,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31852,c_30445]) ).
tff(c_31940,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_31855,c_2]) ).
tff(c_30524,plain,
! [X_420,Z_421] : ( multiply(inverse(X_420),multiply(X_420,Z_421)) = Z_421 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30130]) ).
tff(c_30732,plain,
! [X_423,Z_424] : ( multiply(inverse(inverse(X_423)),Z_424) = multiply(X_423,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_30141,c_30524]) ).
tff(c_30578,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30524]) ).
tff(c_30739,plain,
! [X_423] : ( multiply(X_423,identity) = X_423 ),
inference(superposition,[status(thm),theory(equality)],[c_30732,c_30578]) ).
tff(c_30545,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30443,c_30524]) ).
tff(c_30586,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30545]) ).
tff(c_30457,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30446,c_4]) ).
tff(c_30620,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30586,c_30457]) ).
tff(c_30180,plain,
! [Z_415] : ( multiply(sk_c8,multiply(sk_c4,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30127]) ).
tff(c_30195,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30048,c_30180]) ).
tff(c_30199,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30075,c_30195]) ).
tff(c_30204,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30199,c_30070]) ).
tff(c_30291,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30204,c_30141]) ).
tff(c_30297,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30291]) ).
tff(c_30206,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30199,c_30038]) ).
tff(c_30330,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30297,c_30206]) ).
tff(c_30170,plain,
! [X2_9,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30070,c_30034,c_68]) ).
tff(c_30171,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_30170]) ).
tff(c_30201,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30199,c_30171]) ).
tff(c_30384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30330,c_2,c_30330,c_30297,c_30201]) ).
tff(c_30385,plain,
! [X3_7,X5_6,X2_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_30170]) ).
tff(c_30461,plain,
! [X3_7,X5_6,X2_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30437,c_30437,c_30437,c_30437,c_30437,c_30437,c_30437,c_30385]) ).
tff(c_30462,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_30461]) ).
tff(c_31726,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30739,c_30620,c_30620,c_2,c_30620,c_30620,c_30462]) ).
tff(c_30604,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30586,c_30446]) ).
tff(c_30621,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30620,c_30604]) ).
tff(c_31728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31726,c_30621]) ).
tff(c_31729,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_30461]) ).
tff(c_38706,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32025,c_31940,c_31940,c_31940,c_32025,c_31940,c_31940,c_2,c_31940,c_31940,c_31729]) ).
tff(c_38708,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_38706]) ).
tff(c_31857,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31852,c_30446]) ).
tff(c_31951,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31940,c_31857]) ).
tff(c_38710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38708,c_31951]) ).
tff(c_38712,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_38706]) ).
tff(c_38714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38712,c_31951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP328-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37 % Computer : n031.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:24:00 EDT 2023
% 0.15/0.37 % CPUTime :
% 14.45/4.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.45/4.76
% 14.45/4.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.84/4.83
% 14.84/4.83 Inference rules
% 14.84/4.83 ----------------------
% 14.84/4.83 #Ref : 0
% 14.84/4.83 #Sup : 9653
% 14.84/4.83 #Fact : 0
% 14.84/4.83 #Define : 0
% 14.84/4.83 #Split : 38
% 14.84/4.83 #Chain : 0
% 14.84/4.83 #Close : 0
% 14.84/4.83
% 14.84/4.83 Ordering : KBO
% 14.84/4.83
% 14.84/4.83 Simplification rules
% 14.84/4.83 ----------------------
% 14.84/4.83 #Subsume : 8
% 14.84/4.83 #Demod : 21038
% 14.84/4.83 #Tautology : 7596
% 14.84/4.83 #SimpNegUnit : 83
% 14.84/4.83 #BackRed : 568
% 14.84/4.83
% 14.84/4.83 #Partial instantiations: 0
% 14.84/4.83 #Strategies tried : 1
% 14.84/4.83
% 14.84/4.83 Timing (in seconds)
% 14.84/4.83 ----------------------
% 14.84/4.83 Preprocessing : 0.53
% 14.84/4.83 Parsing : 0.21
% 14.84/4.84 CNF conversion : 0.03
% 14.84/4.84 Main loop : 3.13
% 14.84/4.84 Inferencing : 0.96
% 14.84/4.84 Reduction : 1.53
% 14.84/4.84 Demodulation : 1.34
% 14.84/4.84 BG Simplification : 0.10
% 14.84/4.84 Subsumption : 0.33
% 14.84/4.84 Abstraction : 0.19
% 14.84/4.84 MUC search : 0.00
% 14.84/4.84 Cooper : 0.00
% 14.84/4.84 Total : 3.78
% 14.84/4.84 Index Insertion : 0.00
% 14.84/4.84 Index Deletion : 0.00
% 14.84/4.84 Index Matching : 0.00
% 14.84/4.84 BG Taut test : 0.00
%------------------------------------------------------------------------------